At a dinner party, every 3 guests were served a dish of rice to share, every 4 guests were served a dish of greenbeans and every 2 guests were served a dish of meat. There were 17 dishes in all. How many guests were in attendance?"

Answers

Answer 1

The number of guests that were at the party is 16.

How many guests were at the party?

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.

The equation that would be formed from the available information in this question is:

[tex]\frac{x}{3} + \frac{x}{4} + \frac{x}{2} = 17[/tex]

Where x represents the number of guests that are in the party.

[tex]\frac{x}{3} + \frac{x}{4} + \frac{x}{2} = 17[/tex]

Add the fractions:

[tex]\frac{3x + 4x + 6x}{12}[/tex] = 17

[tex]\frac{13x}{12}[/tex] = 17

Multiply both sides of the equation by 12

13x = 12 x 17

13x = 204

Divide both sides of the equation by 13

x = 204 / 13

x  = 15.7 ≈ 16

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Related Questions

Alan mose lawn in the summer to make money he knows that on an average he can mow 1/2 of a lawn in 1/4 hours calculate his average mowing rate in lawns per hour​

Answers

Answer:

2 Lawns Mowed per hour

Step-by-step explanation:

This question requires the concept of: Conversion.

Conversion

The concept of Conversion is about converting to a certain unit value.

Example: 24 Sour Plums per 2 baskets = 12 Sour Plums per basket.

Application:

For this question, we are asked to convert the unit from 0.25 hours to 1 hour.

(Note: 1/4 hours = 0.25 hours)

0.25 hours = 0.5 Lawn Mowed

(0.25 ÷ 0.25) hours = (0.5 ÷ 0.25) Lawn Mowed

1 hour = 2 Lawns Mowed per hour.

Note: You can use fractions to solve the problem, it will give you the same result.

A skating rink charges a group rate of $9 plus a fee to rent each pair of skates. A family rents 7 pairs of skates and pays a total of $30.

Answers

9+7x=30 would be your equation

Solve for x.
Subtract 9 from both sides
7x= 21 and divide by 7

X= 3

Answer: One pair of skates costs a total of $3

Step-by-step explanation: 30 (Total) - 9 (Fee) ÷ 7 (Pairs of skates)

Total - Free ÷ Pair of skates

1/2(4×5)-2³= what's the awnser

Answers

Explanation:

[tex]\frac{1}{2}(4\times5)-2^3=[/tex]

First we have to solve the products, divisions and powers in each term. The terms are separated by + or - signs. In this expression there are two terms.

In the first term there's a product inside a parenthesis. This means that we have to solve that first:

[tex]=\frac{1}{2}\cdot20-2^3[/tex]

Now we can solve the multiplication in the first term:

[tex]=10-2^3[/tex]

Solve the power in the second term:

[tex]=10-8[/tex]

And do the substraction:

[tex]=2[/tex]

Answer:

1/2(4x5) - 2³ = 2

Which graph represents the solution set of the system of inequalities-2x+y<_4 y>x+2

Answers

The graph of the solution set of the system of inequalities y > x + 2 and

- 2x + y ≤ 4 is shown in figure.

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequalities is,

⇒ y > x + 2

And, - 2x + y ≤ 4

Now,

The inequality is,

⇒ - 2x + y ≤ 4

Add 2x both side, we get;

⇒ - 2x + y + 2x ≤ 4 + 2x

⇒ y ≤ 2x + 4

And, The second inequality is;

⇒ y > x + 2

So, Plot the graph of the inequalities  y ≤ 2x + 4 and y > x + 2.

We get the solution set of the system of inequalities.

Which is shown in figure.

Thus, The graph of the solution set of the system of inequalities y > x + 2 and - 2x + y ≤ 4 is shown in figure.

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Jose invests $8,216 in a savings account with a fixed annual interest rate of 7% compounded 12 times per year. What will the account balance be after 11 years?

Answers

After 11 years, the account balance is $17,704.987. (approx.)

Compound interest is defined.

The principle of the first loan is multiplied by the annual interest rate multiplied by the number of compound periods minus one to calculate compound interest.

The principal of the loan plus compound interest will then be what is left.

Given,

P = $8,216 for the principal value.

Interest rate, r = 7% or 0.07.

Period, with t = 11.

Interest applied n times every time period, or 12 times.

As far as we are aware, A = P(1 + r/n) n*t

where A is the whole sum.

Fill out the formula with the values,

=> A = 8216(1 + 0.07/12) ^ 11*12

= 8216((12 + 0.07)/12) ^ 132

Upon calculation, we obtain,

≅ $17,704.987

As a result, after 11 years, the account will have a balance of $17,704.987 (about).

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HELP ASAP

Solve z3 = 27.


z = 9

z = −9

z = 3

z = ±3

Answers

If z3=27
Z*3=27
Z=27/3
Z=+9

Answer:

the answer is 3

Step-by-step explanation:

The difference of seven times a number and five is one hundred find the number

Answers

Let the number be x

seven times the number = 7x

The difference of seven times a number and five is one hundred. It means that

7x - 5 = 100

7x = 100 + 5

7x = 105

x = 105/7

x = 15

The number is 15

(1/5) -1 as the exponent

Answers

Answer:

1/5

Step-by-step explanation:

what is the ratio of 12​

Answers

Answer:

12.:1 Is the great answer of this question

the answer is 12.:1 but w/out the .

Find the suma1 = -26/5 , d = -5/3 , n = 10

Answers

The sum of the arithmentic series is -127

Step - by - Step Explanation

What to find? The sum of the arithmetic series.

Parameter Given:

a₁ = -26/5 , d=-5/3 , n=10

To find the sum of the arithmetic series we will use the formula below:

[tex]S=\frac{n}{2}\mleft\lbrace2a+(n-1)d\mright\rbrace[/tex]

Substitute the values and evaluate.

[tex]S=\frac{10}{2}\mleft\lbrace2(\frac{-26}{5}_{})+(10-1)(-\frac{5}{3})\mright\rbrace[/tex][tex]=5\mleft\lbrace2(\frac{-26}{5})+9(-\frac{5}{3})\mright\rbrace[/tex][tex]=5\mleft\lbrace-\frac{52}{5}-15\mright\rbrace[/tex][tex]=-52-75[/tex]

=-127

Find the total surface area of the cone. Use the r button on your calculator. altitude = 13 cm, diameter = 11 cm, slant height = 15 cm

Answers

In general, the area of a cone is given by the formula below

[tex]\begin{gathered} A=\pi r^2+\pi rl \\ r\rightarrow\text{ radius} \\ l\rightarrow\text{ slant height} \end{gathered}[/tex]

Therefore, in our case,

[tex]\begin{gathered} r=\frac{11}{2}=5.5 \\ l=15 \\ \Rightarrow A=\pi *5.5^2+\pi *5.5*15 \\ \Rightarrow A=112.75\pi \end{gathered}[/tex]

Rounding to two decimal places,

[tex]\Rightarrow A\approx354.22[/tex]The answer is approximately 354.22 cm^, option D.

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.

slope: 0, ordered pair: (−3,−8)

Answers

The equation (in slope-intercept form) of the line as described whose slope is; 0 and passes through the point given is; y = -8.

What is the equation of the line whose slope is; 0 and passes through the point given;

It follows from the task content that the equation of the line whose slope is; 0 and passes through the point; (-3, -8) is to be determined.

Hence, from the slope formula;

slope, m = ∆y/∆x

Therefore; 0 = ∆y/∆x

By cross-multiplication; we have;

∆y = 0

Recall, ∆y = y - y1 = y - (-8)

y - (-8) = 0

y + 8 = 0

y = -8.

Therefore, it follows that the equation of the line described is; y = -8.

Consequently, the line in discuss is a horizontal line.

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Your friend has a coln that is not fair. It comes up heads 70% of the time and talls 30% of the time. You flip it twice. Let Xbe the number of heads that come up. Find the probability distribution for X

Answers

Let X be the number of heads that come up

[tex]\begin{gathered} \text{Probability of head = 70\% = }\frac{70}{100} \\ \text{Probability of tail = 30\% = }\frac{30}{100} \end{gathered}[/tex]

Step 1: Write out the formula for the binomial probability distribution

[tex]P_x=^nC_xp^xq^{n-x}[/tex][tex]undefined[/tex]

please help! what are the x and y values

Answers

Answer:

1, -2

0, -4

-1,-6

-2,-8

Someone please help me with this!

Answers

The width of the chest is 14.7 inches.

What is a Rectangular Prism?A rectangular prism is a three-dimensional form with six faces, where all of the faces (top, bottom, and lateral faces) are rectangles and all pairings of opposite faces are congruent. The volume of a rectangular prism is the space that it contains. We know that the volume of any prism is calculated by multiplying its base area by its height.

Given:

The volume of rectangular prism = 10368 cubic inches or 6 cubic feet

Height of rectangular prism = 24 inches

It is mentioned that the chest will be twice as long as it is wide.

Let the width of the chest be x inches, so its length is 2x inches.

The volume of the chest = length × width × height

Substituting the values,

10368 = 2x × x × 24

10368 = 2x²× 24

x² = 10368/48

x = √216

x ≅ 14.7 inches ( to the nearest tenth of an inch)

Therefore, the width of the chest is 14.7 inches.

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Solve the equation for y in terms of x. In other words, algebraicallyrearrange the equation so that the y variable is by itself one side of theequation. Type your answer in the form y = mx + b. If you have a valuethat is not an integer then type it rounded to the nearest hundredth. Donot put spaces between your characters.4.2 + 2y = 8y = ?4x+2y=8

Answers

Given:

[tex]4x+2y=8[/tex]

Solve the equation for y,

[tex]\begin{gathered} 4x+2y=8 \\ Subtract\text{ -4 from both sides} \\ 4x+2y-4x=8-4x \\ 2y=8-4x \\ \text{Divide by 2 on both side} \\ \frac{2y}{2}=\frac{8-4x}{2} \\ y=\frac{8}{2}-\frac{4x}{2} \\ y=4-2x \\ \text{ express the equation in the form y=mx+b} \\ y=-2x+4 \end{gathered}[/tex]

Answer: y = -2x +4

Write the following sentence using mathematical symbols:
n is greater than or equal to 0.

Answers

The sentence using mathematical symbols would form an inequality as; n ≥ 0.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions. If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality. The Set of such values is; called the solution set to the considered equation or inequality.

We need to write a sentence using mathematical symbols:

Given that "n is greater than or equal to 0"

The inequality form as;

n ≥ 0

Therefore, the sentence using mathematical symbols would form an inequality as; n ≥ 0.

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The data represents the number of cars that the sales staff at Templeton Motors sold this week.
4, 7, 6, 8, 3, 5, 4, 3, 4, 5, 2, 3
Which line plot correctly displays the data?
OA.
Formula Sheet
3.
Number of Cars Sold
X X
X X X
X X X X X X
+++
AHH
+
0 1 2 3 4 5 6 7 8 9 10
X
Number of Cars Sold
X X X X X X X
H
0 1 2 3 4 5 6 7 8 9 10
OC.
OD.

Number of Cars Sold
X X
X X X
X X X X X X X
++
0 1 2 3 4 5 6 7 8 9 10
X X
Number of Cars Sold
X X
X X X
H11
0 1 2 3 4 5 6 7 8 9 10

Answers

The line plot that correctly displays the data set, 4, 7, 6, 8, 3, 5, 4, 3, 4, 5, 2, 3, is: A.

How to Represent a Data on a Line Plot?

A line plot is a graphical representation of a data whereby the frequency of each data point is represented by a dot on the line plot.

The dots on each data point on the line plot corresponds to the frequency of a data point in a data distribution.

Given the data set, 4, 7, 6, 8, 3, 5, 4, 3, 4, 5, 2, 3, the frequency for each data point is:

2 - 1 dot

3 - 3 dots

4 - 3 dots

5 - 2 dots

6 - 1 dot

7 - 1 dot

8 - 1 dots

Thus, the line plot that correctly represents these data points alongside their frequencies is: A.

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razy GolfmathsdivThe current value of a baseball card is 60 times its original value v (in dollars). The baseball card is worth$15. Write and solve an equation to find the original value of the baseball card.Equation:= 15Original value: $

Answers

Answer:

Equation: 60v = 15

Original value: $0.25.

Step-by-step explanation:

Current value: $15

Original value: v

The current value is 60 times the original value.

So, the equation is:

Equation: 60v = 15

Now we solve the equation to find the original value.

60v = 15

v = 15/60

v = 0.25

Original value: $0.25.

6. The National Institute of Health is studying the relationship between number of
smoked per day and the birth weight of babies born to mothers who
smoke cigarettes. A sample of the 6 points is selected are listed below.
cigarettes
No. of Cigarettes per day (X) 22 13 29 11 28 6
Birth weight (Y)
6.1 7.9 5.8 7.4 6.3 8.2
Compute Pearson's sample correlation coefficient.
Compute the equation of the least squares regression line.
ŷ
=
What is the predicted baby weight born for a mother smoke 40 cigarettes per day.

Answers

Using the calculator for the line of best-fit, the measures are given as follows:

Correlation Coefficient: -0.9405.Regression Line: y = -0.1x + 8.77.Baby weight for the mother that smokes 40 cigarettes a day: 4.77 grams.

How to find the equation of linear regression?

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) given in the problem in the calculator. These points are given on a table or in a scatter plot in the problem.

From the given table, the points in this problem are as follows:

(22, 6.1), (13, 7.9), (29, 5.8), (11, 7.4), (28, 6.3), (6, 8.2).

Hence:

The correlation coefficient is of -0.9405.The regression line is of: y = -0.1x + 8.77.

Hence, for a mother that smokes 40 cigarettes on a day, the predicted weight is of:

y = -0.1(40) + 8.77 = 4.77 grams.

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ach function is a transformation of the parent sine function. Based on the period, which graph represents each transformed function?

Answers

Given the functions:

• f(x) = sin(-x)

,

• f(x) = sin(2x)

,

• f(x) = sin(1/2x)

Given that each function is a transformation of the parent sine function, let's select the graph which represents each transformed function.

We have the parent sine function:

f(x) = sin(x).

• For function A.

f(x) = sin(-x)

The graph of this transformed function will be:

• For function B.

f(x) = sin(2x)

The period of this function will be:

[tex]T=\frac{2\pi}{B}=\frac{2\pi}{2}=\pi[/tex]

Therefore, the graph which represents this function is:

• Function C.

f(x) = sin(1/2x)

The period of this function will be:

[tex]T=\frac{2\pi}{B}=\frac{2\pi}{\frac{1}{2}}=4\pi[/tex]

Therefore, the graph of this function will be:

ANSWER:

a1 = 1; d = 3a1 = 1; d = −3a1 = 17; d = 3a1 = 17; d = −3

Answers

Given:

A graph is given and the points on the graph are as:

(1, 17), (2, 14), (3, 11), (4, 8), (5, 5), (6, 2)

Required:

To determine the value of

[tex]a_1[/tex]

and d for the given sequence.

Explanation:

We can observe from the graph that the given sequence is an arithmetic sequence.

Here

[tex]a_1[/tex]

represent the first value and d represent the common ratio.

So the values are as:

[tex]\begin{gathered} a_1=1 \\ d=14-17=\text{ -3} \end{gathered}[/tex]

Final Answer:

[tex]a_{1=1},\text{ d = -3}[/tex]

The second option is the correct answer.

Don buys a shirt for $24.85. His friend Daryl spends $3.15 more for his shirt. Sean paid the same price as Daryl for his shirt but bought 2. How much did Sean spend for his 2 shirts?

Answers

Solution

- Don buys a shirt for $24.85.

- Daryl spends $3.15 more for his shirt. This means that Daryl spends

[tex]\$24.85+\$3.15=\$28[/tex]

- Thus, Daryl spends $28 on his shirt.

- Sean paid the same price as Daryl, that is, he paid $28 for each shirt.

- Sean bought two shirts, thus, Sean spends:

[tex]\$28+\$28=\$56[/tex]

Final Answer

Sean spends $56 on his 2 shirts

The directress of a parabola is represented by the linear equation y=2, and its vertex is located at (3,1).Both of these attributes of the parabola are graphed below. which of the following is the equation that represents this parabola?

Answers

The directrix of the parabola is at y = 2 and its vertex is at (-3,1). Since the directrix is below the vertex, we can say that the parabola will open downwards. The general form to find the equation of the parabola given the directrix and vertex is

[tex]y=-(x-h)^2+k[/tex]

The value of h for the problem is -3 while the value of k for the problem is 1. Substitute it on the equation above, we get

[tex]\begin{gathered} y=-(x-(-3))^2+1 \\ y=-(x+3)^2+1 \end{gathered}[/tex]

Hence, the answer to this problem is option 2. Note that the equation started in a negative sign because the parabola opens downwards.

Mrs. Smith wants to buy floor covering for her master bedroom. The dimensions of the master bedroom are 11yd by 7yd. The floor covering is sold in square meters. How many square meters of floor covering will she​ need?

She will need ____ square meters.

Round answer to the nearest hundredth as needed.

Answers

Mrs. Smith will need 64m² of floor covering for her master bedroom.

The length L of the bedroom is 11 yards,

The breadth B of the bedroom is 7 yards.

The floor covering is available only in square meters.

As we know,

One yard = 0.9144 meters.

the length of the bedroom in meter is,

Length L = 0.091144 x 11

Length L = 10.02 meters.

the breadth of the bedroom in meters is,

Breadth B = 0.91144 x 7

Breadth = 6.38 meters.

the Area of Rectangular master bedroom in Meter square is,

Area = Length x Breadth

Area of the bedroom = 10.02 x 6.38

Area of the bedroom = 63.92 m²

Area of floor covering required = Area of the master bedroom.

Area of the floor covering required = 63.92 m².

Rounding off to nearest hundredth = 64m²

Mrs. Smith will need 64m² of floor covering.

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HELP ASAP WILL GIVE BRAINLEST
How many times larger is (1.064 x 10^1) than (7 x 10^−1)?

0.152
15.2
6.58
7.448

Answers

1.064 x 10¹ is 15.2 times larger than the 7 x 10⁻¹. It is obtaining the taking ratio of the given number. Option B is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

Let 7 x 10⁻¹ be x times the number 1.064 x 10¹.

The value of x  is obtained by taking the ratio of  1.064 x 10¹ and 7 x 10⁻¹.

x = 1.064 x 10¹ / 7 x 10⁻¹

x = 15.2

Thus,1.064 x 10¹ is 15.2 times larger than the 7 x 10⁻¹. It is obtaining the taking ratio of the given number. Option B is correct.

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Please solve for x using steps 1/3x= 1/3+6/x

Answers

You have the following algebraic equation:

1/3x = 1/3 + 6/x

In order to solve the previous equation you first multiply both sides of the equation by x, thus, you can quit x denominators in the equation. Proceed as follow:

1/3x = 1/3 + 6/x multiply by x both sides

1/3 = x/3 + 6 multiply by 3 both sides

1 = x + 18 subtract 18 both sides

1 - 18 = x + 18 - 18

-17 = x

-17 = x is the same as x = -17. The solution to the given equation is x = -17.

HELP PLSSSSSSSSSSSSSS

Answers

Answer: 64

Step-by-step explanation:

Length x width x higth= volume

4 x 8 x 2 = 64

Answer:

4 cm

Step-by-step explanation:

First, find the volume of the rectangular prism.
4*8*2=32*2=64 cm^-3

Now, the formula for the volume of the cube is:
Volume = side ^ 3
We know the volume is 64 cm^3, so plug it in to the equation:

64 = side ^ 3
take the cube root of both sides
4 = side

40 POINTSSSSS!!!!!!!!!! PLS HELP NO LOOKING IT UP!A polygon is shown on the graph: What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.

Answers

we know that

A translation is a rigid transformation

In a translation the preimage and the image are congruent

that means -----> the angles and side lengths of the image and the preimage are congruent (are equal)

The only difference between the image and the preimage is the location

Remember that

If two figures are congruent, then their corresponding angles and their corresponding sides are equal

Use the sketch tool to mark the picture with the given information. Then choose what postulate proves the triangles congruent.

Answers

We choose ASA Postulate to prove this triangle congruent.

In the given question given that

[tex]\overline{AC}[/tex] bisects [tex]\angle BAD[/tex].

[tex]\overline{AC}[/tex] bisects [tex]\angle BCD[/tex].

Since, [tex]\overline{AC}[/tex] bisects [tex]\angle BAD[/tex].

So [tex]m\angle BAC\cong m\angle DAC[/tex]

Since, [tex]\overline{AC}[/tex] bisects [tex]\angle BCD[/tex].

So [tex]m\angle BCA\cong m\angle DCA[/tex]

Then [tex]AC\cong AC[/tex]

Then [tex]\triangle BAC\cong \triangle DAC[/tex]

There given postulate are AAS, ASA, SSS, SAS.

We have proved using the ASA postulate.

Now describing the ASA postulate.

ASA means Angle-Side-Angle Postulate.

According to ASA Postulate, two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.

Hence, we choose ASA Postulate to prove this triangle congruent.

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What is the number of terms in the polynomial -y4 + 7y If the narrator killed captain Torres, would you consider the narrator a murderer or a hero? Both? One more than the other why? Math -2-(-7) = ?Bookmark Write a three-to four-paragraph essay in which you evaluate the growth of executive power. Consider the following in your essay:How do the purpose and structure of the executive and legislative branches of governments affect the power of the executive branch?How has the power of the executive branch shifted over time?Why do you think those shifts in power have occurred?What impact do you think historical events have had on the power of the president?What are some ways Congress has reacted to the expansion of presidential power? Find Lindsay Remson's total deposit for two checks of $112.54 and$453.24 and cash of 3 one-dollar bills, 4 five-dollar bills, 7 ten-dollarbills, 15 quarters, 12 dimes, 34 nickels, and 64 pennies. Less $10.00cash received. write in standard form the equation of the line through each pair of points9. (0,1) and (3,0)10. (1/2,2/3) and (-3/2,5/3)11. (-3,-2) and (1,6) A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 per shirt. Write the equation for the situation. poornima gupta is retiring soon, so she is concerned about her investments providing her steady income every year. she is aware that if interest rates rise, the potential earnings power of the cash flow from her investments will increase. in particular, she is concerned that a decline in interest rates might lead to decrease in annual income from her investments. what kind of risk is poornima most concerned about protecting against? What is the main precursor derived mostly from carbohydrates to start fat biosynthesis?. What was the que-bec act about Which student's question would be the MOST useful to determine this?Student 2, because only Bronsted-Lowry bases will neutralize acids.Student 3, because the pOH can be used to calculate the pH of the base.Student 4, because a Bronsted-Lowry base always accepts a proton from an acid to form a conjugate acid.Student 1, because if the base reacts with an acid and produces water and a salt it is a Bronsted-Lowry base. hello I need help to calculate the corresponding stoichiometric mass in milligrams of CaCO3the answer to number 8 is 2.72 moles and I'll take a picture of equation 2 A 100-g ball is launched from the ball launcher in a pinball machine (pictured below). The force constant of the spring is 110 N/m. The spring is initially compressed 4.0 cm and the coefficient of kinetic friction is 0.2. Hint: watch your units!a) How fast is the ball going when it passes the equilibrium point of the spring?b) How far will the ball go up the ramp? Specify clearly what value you are giving me! A car coasts into a hill at 16.0 m/s. It slows down with a uniform acceleration of -1.0 m/S/S.What is the displacement after 5.0s?What is the displacement after 10.0s? Solve the inequality for x (x+8)(x-3)^2(x-7)^3 Find the surface area and volume of the following solids , a cylinder with radius 5 m and height 0.5 m Which of the following regions would have favored national government policies supporting both internal improvements and low land prices?The North and WestThe WestThe North and SouthThe north Provide the missing reasons for the following proof:(In the picture) Options- Transitive Property ofCongruence- Subtraction Property ofEquality- Vertical Angles Theorem(VAT)- Division Property ofEquality- Given- Angle CongruencePostulate- Substitution Property ofEquality What is the equation of the line that passes through the point (8, 1) and has a slope of -3/4? Which passage from the Article best supports the idea that there was good reason for the rescue to take several days to begin and several more to complete?A."We realized that this would make [a very] inspiring movie," said Pure Flix cofounder Michael Scott after the rescue was completed.B.Members of the Thai Navy SEAL team, who were among the first searchers to enter the cave and the last ones out, flew to their base on the Gulf of Thailand. They received a heroes' welcome.C.But even these experts found it difficult to get through the cave. There was more heavy rain. Water continued to rise.D."The situation went beyond just being a rescue mission and became a symbol of unity among mankind," said former Chiang Rai Province acting Governor Narongsak Osatanakorn.