In math class, there are 4 students for every 2 teachers. What is the ratio represented?

Answers

Answer 1

Answer:

4

Step-by-step explanation:


Related Questions

Select the statement that correctly describes the
solution to this system of equations,
18x-2y=-4
4x-y=-2

There is exactly one solution at (2.0),

There is no solution,

There is exactly one solution at (0-2).

There are infinitely many solutions.

HELP ASAP

Answers

The solution of the equations 18x - 2y = -4 and 4x - y = -2 is (0,-2). Hence option c is the correct option.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given pair of equations is

18x - 2y = -4  ....(i)

4x - y = -2    .....(ii)

To solve the equation apply elimination method.

Multiply equation (ii) by 2 and subtract it from (i):

18x - 2y = -4

8x - 2y = -4

(-)  (+)     (+)

_________

10x = 0

x = 0

Putting x = 0 equation (ii)

0 - y = -2

y = 2

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What is the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean?.

Answers

Answer: With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent)

Step-by-step explanation:

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36

Answers

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36

The standard form for finding the equation of a circle is expressed as;

[tex](x-a)^{2} + (y-b)^{2} = b = r^{2}[/tex]

where;

(a, b) is the center of the circle

r is the radius of the circle

Given the following

diameter = 12 units

radius = 12/2 = 6 units

If the centre lies on the y-axis, the center will be at (0, 3).

Substituting into the formula, we will have[tex](x-0)^{2} + (y-3)^{2} = (6)^{2}[/tex]equivalent to x²+ (y-3)² = 36

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Question 30
Write y - 4 =(x-3) in slope-intercept form.

Answers

Answer: To write the equation in slope-intercept form, we need to isolate the y term on one side of the equation. We can do this by adding 4 to both sides of the equation:

y - 4 + 4 = x - 3 + 4

Combining like terms on each side, we get:

y = x - 3

This is the slope-intercept form of the equation. The slope of the line is 1, and the y-intercept is -3. The slope-intercept form of the equation is y = 1x - 3.

Answer: y = x + 1

Step-by-step explanation:

Write y - 4 =(x-3) in slope-intercept form

This is in Point Slope Form.

y - 4 =(x-3)

We add 4 to both sides

==> y - 4 + 4 = x-3 + 4

==> y = x + 1

This is slope intercept form, since it resembles the equation, y = mx + b, but m equals zero.

On a scale drawing of a horse, the scale is 1 in: 10 ft. If the real horse is 25 ft tall, how tall is the horse on the scale drawing?

Answers

Answer: 2.5 inch

Step-by-step explanation:

If g(x)=x^2+6 and f(x)=2x-4, find g(f(x))

Answers

The value of the function g(f(x)) is 2x² - 8x + 11.

What is function?

In the composition of functions, we completely swap out one function for another. The function f with g has the notation (fg)(x)=f(g(x)) and is read as f of g of x. It signifies that the function g(x) is substituted for every instance of an x in the function f.The combination of two functions is frequently referred to as a "function of a function," and g*f is sometimes represented as g.f.

g(x) = x² + 6

f(x) = 2x - 4

g(f(x)) = (2x-4)² + 6

= 4x² - 16x + 16 + 6

= 4x² - 16x + 22

= 2x² - 8x + 11

Hence, the value of the function g(f(x)) is 2x² - 8x + 11.

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Pleaseee help! I don’t really get math

Answers

Answer:

GE is congruent to GE

Step-by-step explanation:

This is true because both triangles use this same line, so it is referred to as the reflexive property.

Convince me that...
the √(25) is 5.

Answers

Step-by-step explanation:

The square root of 25 is 5. It is the positive solution of the equation x2 = 25. The number 25 is a perfect square.

Answer:

Yeah, √(25) is 5.

Step-by-step explanation:

Given problem,

→ √(25) = 5

Checking the equation,

→ √(25) = 5

→ 25 = (5)²

→ 25 = 25

→ LHS = RHS

Thus, equation is proved.

The cubic polynomial | f(x) = 6x ^ 3 - 7x ^ 2 - 11x + d has a 2 factor (x-1)
(a)Find the value of d
( b )Find the remainder when the polynomial is divided by (x + 2)​

Answers

Answer:

d=12 and the remainder is -42

Step-by-step explanation:

a.

put x=1 into f(x)

6(1)³-7(1)²-11(1)+d=0

6-7-11+d=0

-12+d=0

d=12

b.

Put x=-2 into the polynomial

6(-2)³-7(-2)²-11(-2)+12

6(-8)-7(4)+22+12

-48-28+22+12

-42

A cyclist rides her bike at a speed of 18 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your
computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Speed: Distance traveled in 5 hours:

Answers

The speed in kilometres per hour is 28.8 km/hr.

The distance in kilometres the cyclist will travel in 5 hours is 144 km.

How to find speed and distance?

A cyclist rides her bike at a speed of 18 miles per hour. The speed in kilometres per hour an be calculated as follows;

1 miles = 1.6 km

18 miles = ?

cross multiply

distance in km = 18 × 1.6

distance in km = 28.8 km

Therefore, the speed  in kilometres per hour is 28.8.

The kilometres the cyclist will travel in 5 hours can be calculated as follows;

speed = distance / time

28.8 = d / 5

cross multiply

distance travelled in km = 28.8 × 5

Therefore,

distance travelled in km = 144 km

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You and your friends decide to take a road trip to Florida for Winter Break. It will cost you $60 per day to visit Orlando and $100 per day to visit Tampa. You have $760 to spend on this trip and will stay for 10 days. What two equations could help you determine how many days you can afford to stay in each city?

Answers

It would be 20$ dollars

Find the correct answer & explaining why

Answers

The line segment will be needed to create step 4 is 30. Hence option D is the correct option.

What is line segment?

Line segment is line whose distance fixed. There are two fixed end points. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.

The number of line segment in step 1 is 2.

The number of line segment in step 2 is 6.

The number of line segment in step 3 is 14.

Now finding the pattern:

Step 2: 6 = 2 × 2 + 2

Step 3: 14 = 6 × 2 + 2

The number of line segment is equal to 2 more than 2 times the number of line segment of previous step.

According to this pattern,

step 4: 14 × 2 + 2 = 30

The number of line segment is 30.

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is x^4+2x^3-x^2+7x+11 a quintic binomial

Answers

On solving the provide question, we got that - [tex]x^4+2x^3-x^2+7x+11[/tex] is not  a quintic binomial

What is quintic polynomial?

A mathematical word raised to the fifth power of the independent variable. B. Or 5th order polynomial in the form of 5th order or 5th order for 5th order (not equivalent).

What is an example of a quintic polynomial?

A polynomial of degree 5. Examples: x5 – x3 + x, y5 + y4 + y3 + y2 + y + 1, and 42a3b2.

[tex]x^4+2x^3-x^2+7x+11[/tex] is not  a quintic binomial

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$6,000 at 5% compounded daily for 3 years

Answers

6000 dollars at 5% compounded daily for 3 years will amount to $6,970.93.

How to solve compound interest?

Compound interest is the interest you earn on interest.  In other words, compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest formula can be use to find the amount of the money after 3 years.

Using the compound interest formula,

[tex]A = p(1 + \frac{r}{n} )^{nt}[/tex]

where

p =principalr = raten = number of timest = time in yearsA = amount

Therefore,

p = 6000 dollars

rate = 5% = 0.05

n = 365

t = 3

Hence,

[tex]A = 6000(1+\frac{0.05}{365} )^{(365)(3)}[/tex]

A = 6,000.00(1 + 0.00013698630136986)¹⁰⁹⁵

Therefore,

A = $6,970.93

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A 140 ft diameter helicopter pad covers an area of about how many square feet? What value did you use for pi and why did you choose it?

Answers

15,386 ft² an area of helicopter pad covers .

What does a circle's area mean?

The area a circle occupies in a two-dimensional plane is known as the area of the circle. It can be simply calculated using the formula A = r2, (Pi r-squared), where r is the circle's radius.

                          Area is measured in square units, such as m2, cm2, etc. Where = 22/7 or 3.14, the area of a circle is equal to r2 or d2/4, in square units.

D = 140

r = 140/2 = 70

area of helicopter = πr²

                              = 3.14 ×70 × 70

                              = 15,386 ft²

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Determine whether the following statement is true or false. In a normal distribution, the z-score for the mean is 0. Choose the correct answer below. * OA. The statement is true because a z-score describes how many standard deviations a data item in a normal distribution lies above or below the mean. B. The statement is false. The z-score for the standard deviation is 0. OC. The statement is false. The z-score for the mean is always 1. D. The statement is false. The z-score for the mean depends on the data item.​

Answers

The statement "In a normal distribution, the z-score for the mean is 0" is true. A z-score describes how many standard deviations a data item in a normal distribution lies above or below the mean. Since the mean of a normal distribution is defined as the value at which the distribution is centered, a data item with a value equal to the mean will have a z-score of 0.

Therefore, the correct answer is option A: "The statement is true because a z-score describes how many standard deviations a data item in a normal distribution lies above or below the mean." Option B, C, and D are all false because they do not accurately describe the relationship between z-scores and the mean in a normal distribution.

A translation stretches or compresses the graph of a function.
True false question.
True
False

Answers

Answer:

False, a transformation is the one that stretches or compresses the graph. A translation just shifts the graph up, down, left, or right.

Answer: False

Step-by-step explanation:

A translation is just moving the graph up, down, left, and right! It doesn't make a graph bigger or smaller, so this is a False

Tarzan loaded 4 trucks every 8 hours At this rate, how may would he load in 4 hours?

Answers

2. 4 hours is half of 8 our so at this rate he will have loaded half the amount of trucks in half the amount of time. 8/2=4 hours so 4/2= 2 trucks.

Unit 3 Lesson 8 Cumulative Practice Problems
1. This is an invalid proof that all isosceles triangles are similar. Explain which step is
invalid and why.
1. Draw 2 isosceles triangles ABC and DEF where AC = BC and DF = EF.
2. Dilate triangle ABC to a new triangle A'B'C using center C and scale factor de so
that A'C = B'C = DF = EF.
3. Translate by directed line segment CF to take A'B'C to a new triangle A"B" F.
Since translation preserves distance, A" F = A'C= DF and B" F = BC = EF.
4. Since A" F = DF, we can rotate using center F to take A" to D.
5. Since B" F = EF, we can rotate using center F to take B" to E.
6. We have now established a sequence of dilations, translations, and rotations that
takes A to D, B to E, and C to F, so the triangles are similar. ​

Answers

Answer:

Step-by-step explanation:

Let ABC be an isosceles triangle with lateral sides AB and AC, a base of BC, and medians of AC and AB, respectively, at BD and CE.

In  △ACE  and  △ABD ,

AB≅AC  lateral sides of isosceles triangle

∠A≅∠A  common angle

AE≅AD  half segments of equal lateral sides

As a result, ACE ≅ABD according to the side angle side theorem. as a result, median BD is consistent with median CE.

If any two figures can be positioned exactly over one another, the congruence between them can be seen. The relationship between two figures is referred to as their congruence, and is expressed using the word "congruence".

In other terms, two geometric figures are said to be congruent if they can be superimposed on one another.

All figures, including triangles, quadrilaterals, and other shapes, have this feature. Along with figures, line segments and angles that have the same measure are also said to be congruent. To comprehend what congruent figures represent, look at the following figure.

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Please Answer Correctly.

Answers

Answer:

10 should be the correct answer

Step-by-step explanation:

im sooooo sorry if its wrong :|

8. In a local election, one candidate received 45% of the votes. A total of 440 votes were cast. How many votes did this candidate receive?

Answers

The vote received by the candidate if he receives 45 % of the votes and a total of 440 votes were cast is 198.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is.

Given:

The Total vote of the election = 440,

The vote received by one candidate = 45 % of total votes,

Solve the expression as given below,

The vote received by one candidate = 45 % of 440

The vote received by one candidate = 45 / 100 × 440

The vote received by one candidate = 0.45 × 440

The vote received by one candidate = 198

Therefore, the vote received by the candidate if he receives 45 % of the votes and a total of 440 votes were cast, is 198.

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Clayton place towel I pell the word time and a bowl. He draw one tile from the ball and then without replacing it draw another child. What i the ample pace of doe it repreent in the letter picked him to

Answers

On solving the question, The possible combinations when choosing two letters randomly are: T-I, T-M, T-E, I-T, I-M, I-E, E-T, E-M, E-I, M-I, M-T, M-E.

What is combination ?

When the order of selection is irrelevant, the mathematical operation of combining counts the number of possible configurations for a set of elements.

[tex]Letters are given as - T I M E[/tex]

Given that there is no alternative for the choice, we have the following number of possibilities:

[tex]= > n = 4^2\\[/tex]

here -

4 =the number of letters

2 =the number of selection

so, n= 16

The choices are then shown as follows:

TI, TM, TE

IT, IM, IE

MT, MI, ME

ET, EI, ET

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Simplify [tex]\sqrt[3]{125z}[/tex] - [tex]\sqrt[3]{64z}[/tex]

Answers

Answer:

[tex] \sqrt[3]{z} [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{125z} = \sqrt[3]{ {5}^{3} z} = 5 \sqrt[3]{z} [/tex][tex] \sqrt[3]{64z} = \sqrt[3]{ {4}^{3}z } = 4 \sqrt[3]{z} [/tex][tex]5 \sqrt[3]{z} - 4 \sqrt[3]{z} = \sqrt[3]{z} [/tex]

17
Select the correct answer from each drop-down menu.
Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package. She planted 15
saplings and has at most 20 left. How many packages of saplings did she start with? What would the solution look like on a number line graph?
When Rita started, she had
with an arrow to the
packages of saplings. The solution can be represented as
Reset
Next

Answers

Note that:

When Rita started, she had 7 packages;The solution can be represented on a number line graph, it will begin at 4 (the number of packages Rita still has) and progress to the right to 7, the number of packages when Rita began planting if we plot x (the number of sapling packages).

What is the rationale for the above answer?

Recall that we are given the following:

Number of packages Rita started = xNumber of saplings per package = 5Number of saplings planted by Rita = 15Number of saplings left = 20

To determine the number of packages Rita started with, we must resolve:

(Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

that is:
x = (15 + 20)/5

x = 35/5

x = 7

Thus, when she started, she actually had 7 packages. By the time she was done, she had 4.

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A bank features a savings account that has an annual percentage rate of r=3.5% with interest compounded quarterly. Althea deposits $3,500 into the account.

What values should be used P, r, and n?

How much money will Althea have in the account in 8 years? Round to the nearest penny.

Answers

Althea will have a $4625.32 compound amount in the account in 8 years.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. Compound interest is computed as interest on the initial principal plus any accrued interest from prior periods.

Given,

Principal (P) = $3,500

rate of interest (r) =3.5% = 0.035

for compounded quarterly (n) = 4

time (t) = 8 years

The compound amount is given by

[tex]A = P(1+\frac{r}{n})^{nt}\\A = 3500(1+\frac{0.035}{4})^{4*8}[/tex]

A = 4625.32

Hence, Althea will have $4625.32 in the account in 8 years.

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what do you think the true slope is? you do not need an exact number. hint: can you provide an interval that you think the true slope falls in?

Answers

A line's equation can be written as y = mx + b, y = ax + b, or y = a + bx. As may be seen, the equation for the regression line is similar as true slope.

Explain the term true slope?

Understanding the distinction between negative, positive, zero, and undefinable slopes is crucial.

In summary, the function operates "uphill" if the slope equals positive and y rises as x rises (going left to right). If a slope is negative, the function is downward-sloping because y falls off as x rises. If the slope is zero, y remains constant—a horizontal line—and does not vary. Problematic vertical lines are those in which x remains constant. Because it is divided by zero, our formula is therefore undefinable. Some people will refer to this situation as having an infinite slope, but we are unable to determine whether it is negative or positive infinity!

As a result, the rather perplexing term "no slope" is also frequently used in this context.

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All hats are on sale for 22.5% off the original price.
Abrien is buying a hat that is originally priced at h.
Sales tax is 8.875%.
Part A: Which expression would calculate the final price
of a hat?
Part B: If the original price of a hat is $42, what is the
final price of buying four hats after the discount and
sales tax? (round your answer to the nearest dollar) Untitled Title
A. Part A: h(0.225)(0.08875)
Part B: 41
B. Part A: 4h(0.775)(1.08875)
Part B: $142
C. Part A: h(0.775)(1.08875)
Part B: $142
D. Part A: h(0.775)(0.08875)
Part B: $156

Answers

The expression for the final price of a hat would be h(0.775)(0.08875) and the final price of buying four hats after the discount and sales tax would be $142.

Option (C) is correct.

What is a discount?

A discount is a reduction in the price of a product or service. It can be offered for a variety of reasons, such as to encourage customers to make a purchase or to clear inventory. Discounts can be expressed as a percentage off the original price, or as a fixed dollar amount.

Part A: The expression that would calculate the final price of a hat is h(0.775)(1.08875). This takes into account the 22.5% discount by multiplying the original price by 0.775, and then adds the 8.875% sales tax by multiplying the discounted price by 1.08875.

Part B: If the original price of a hat is $42, then the final price of buying four hats after the discount and sales tax would be $42 x 4 x 0.775 x 1.08875 = $142.

Hence, the expression for the final price of a hat would be h(0.775)(0.08875) and the final price of buying four hats after the discount and sales tax would be $142.

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help: find the measure of each angle indicated​

Answers

Answer: 27

Step-by-step explanation:

You know that the whole shape equals 180. So you add 133+20=153 then subtract that from 180 and that should give you 27.

Hope that helps!

The missing angle is 27°

10y + 21 = 951 what is the variable of y

Answers

Answer:  y= 93

Step-by-step explanation:

10y + 21 = 951

10y = 930

y= 93

Classify the given angle.

right angle
obtuse angle
acute angle
straight angle

Answers

Answer: Acute Angle

Step-by-step explanation: It is less than 90 degrees (right angle) so it is an acute angle

Answer:

Step-by-step explanation:

Acute Angle 100% Correct!!

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