The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana splits and also made a total of $156. Which system of equations represents the situation?

The Ice Cream Shop Sells Sundaes For $2 Each And Banana Splits For $3 Each. One Day, The Shop Sold 8

Answers

Answer 1

Answer:

[tex]s = 8+b\\2s+3b=156[/tex]

Step-by-step explanation:

To find which systems of equation represents the situation, we can break down the key information and create two variables:

Variables:

Let [tex]s[/tex] = number of sundaes sold.

Let [tex]b[/tex] = number of banana splits sold.

Given information:

Sundae: [tex]\$2[/tex]

Banana Splits: [tex]\$3[/tex]

8 more sundaes sold than banana splits. This can be expressed by [tex]s=8+b[/tex].

Total sold was [tex]\$156[/tex]. This can be expressed as [tex]2s+3b=156[/tex].

∴ The systems of equation that expresses this situation are [tex]s=8+b[/tex] and [tex]2s+3b=156[/tex].

Hope this helps :)


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what is the square root of 36

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Answer:

its 6

Step-by-step explanation:

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Answer:

x=40

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

180-130=50

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Answer:

we conclude that in the second step, 3 should have been subtracted from the right side as well on the left side.

Step-by-step explanation:

Given the expression

[tex]4 < -2x + 3 < 9[/tex]

SECOND STEP

subtract 3 from the right-hand side as well as on the left-hand side

[tex]4-3 <-2x+3-3<9-3[/tex]

SOLVING THE REMAINING COMPLETE COMPRESSION

[tex]1 < -2x < 6[/tex]

Divide all parts by -2

Please note that multiply or divide an inequality by a negative number flips the inequality sign.

so the expression becomes

[tex]\frac{1}{-2}\:<\:\frac{-2x}{-2}\:<\:\frac{6}{-2}[/tex]

[tex]\frac{1}{-2}\:>x\:<\:-3[/tex]

Hence, from the explanation, we conclude that in the second step, 3 should have been subtracted from the right side as well on the left side.

Help me plssssss ( Geometry) answer as much as u can in the photo it would be appreciated!!)

Answers

Answer:

for 7-12 plot the points on a graph. its the rise/run. from the point farthest to the left, go down or up until you are on the same horizontal line. however many units you moved is the first number. (_/?). then from that point, go to the right until to actually land on the point. however many units you used is your second number. The slope will be in a fraction, and sometimes you can turn it into a whole number.

Step-by-step explanation:

Question is In the image no need for step by step just the answer

Answers

Answer:

A

Step-by-step explanation:

-4x+5y=10. -4x+5y=10. -4x+5y=10

A new bank customer with $3,000 Wants to open a money market account.The bank is offering a simple interest rate of 1.1%.What will be the account balance after 20 years

Answers

Step-by-step explanation:

here's ..............the answers

Write the equations that model this problem:
Sanji bought 5 pears and 3 apples for $5.80. Ursula bought 10 pears and 7 apples for
$12.20.
How much world a pears cost and apples

Answers

Pears are $.80 and apples are $.60

please show your work !!!!!!!!!!!!

Answers

Answer:

[tex](3.4)[/tex]

Step-by-step explanation:

Our equation is [tex]f(x)=-2(x-3)^2+4[/tex] Now there are 2 ways you can do this, I'll show you the shortcutIf you have an equation like this, just take the value in parenthesis and equate it to zero[tex]x-3=0.x=3[/tex] is the x of the vertexPut this back into the equation[tex]f(x)=-2(x-3)^2+4\\x=3\\f(3)=-2(3-3)^2+4\\f(3)=-2(0)^2+4=4[/tex] this is the y

Find the x- and y-intercepts of the equation 3x - 7y= 21.
A) x-intercept: (7,0), y-intercept: (0,3)
B) x-intercept: (7,0), y-intercept: (0,-3)
C) x-intercept: (0,7), y-intercept:(-3,0)
OD) x-intercept: (0,-7), y-intercept: (3,0)

Answers

The answer is B X= (7,0) and Y= (0,-3)

x-intercept: (7,0), y-intercept: (0,-3). Therefore, the correct answer is option B.

The given equation of a line is 3x-7y=21.

The x-intercept is the value of the x-coordinate of a point where the value of y-coordinate is equal to zero.

When y=0, we get

3x-7(0)=21

3x=21

x=7

So, the x-intercept is (7, 0)

The y-intercept is the value of the y-coordinate of a point where the value of x-coordinate is equal to zero.

When x=0, we get

3(0)-7y=21

0-7y=21

y=-3

So, the y-intercept is (0, -3)

Therefore, the correct answer is option B.

Learn more about the x-intercept here:

https://brainly.com/question/14180189.

#SPJ6

A company makes flower pots. The flower pots have an expense equations of E=2.75q+$24,582. What is the fixed cost in the expense function

Answers

Answer:  $24,582 I believe

I NEED HELP ONCE AGAIN PLEASE AND THANK YOU IF CORRECT I WILL MARK BRAINLYEST

Answers

Answer:

(5,2)

Step-by-step explanation:

A gardener is planting two types of trees: Type A is 10 feet tall and grows at a rate of 19 inches per year. Type B is 4 feet tall and grows at a rate of 25 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

Answers

Answer:

It'll take 12 years

Step-by-step explanation:

Given

Type A:

[tex]Initial\ Height = 10ft[/tex]

[tex]Growth = 19in[/tex]

Type B:

[tex]Initial\ Height = 4ft[/tex]

[tex]Growth = 25in[/tex]

Required

Determine the years they'll reach the same height

First, convert feet to inches in both measurements (this is done by multiplying measurement by 12):

Type A:

[tex]Initial\ Height = 10ft[/tex]

[tex]Initial\ Height = 10 * 12in[/tex]

[tex]Initial\ Height = 120in[/tex]

Type B:

[tex]Initial\ Height = 4ft[/tex]

[tex]Initial\ Height = 4 * 12in[/tex]

[tex]Initial\ Height = 48in[/tex]

The height at any year from both trees is calculated using

[tex]Height = Iniital\ Height + Growth * x[/tex]

Where x represents the year;

For Type A:

[tex]Height = 120+ 19 * x[/tex]

[tex]Height = 120+ 19x[/tex]

For Type B:

[tex]Height = 48+ 25 * x[/tex]

[tex]Height = 48+ 25x[/tex]

To get when their height will be equal, we simply equate both expressions:

[tex]48+ 25x = 120 + 19x[/tex]

Collect Like Terms

[tex]25x - 19x= 120 - 48[/tex]

[tex]6x= 72[/tex]

Solve for x

[tex]x = 72/6[/tex]

[tex]x = 12[/tex]

Hence, It'll take 12 years

The nth term of an AP is 12-4n. Find the first term and the common difference.

Answers

Answer:

first term is 8 and common difference d is -4

Step-by-step explanation:

nth term of an arithmetic sequence is: aₙ=12-4n

First term is putting n=1:

aₙ=12-4n

a₁=12-4(1)

a₁=12-4

a₁=8

So, first term a₁= 8

Now finding second term to find common difference

Second term is: n=2

aₙ=12-4n

a₂=12-4(2)

a₂=12-8

a₂=4

So, second term is: 4

The common difference is: a₂-a₁= 4-8 = -4

So, first term is 8 and common difference d is -4 if nth term is 12-4n

Assuming only the lengths of the sides of a triangle are given, how can you determine if the triangle has a right angle?

Answers

By the Pythagorean Theorem, the lengths of the sides of a triangle satisfy [tex]a^2+b^2=c^2[/tex] if the triangle is a right triangle (in which case the angle between sides a and b is the right angle).

pls, help me with this...
i- I'll put brainiest!
This equation shows how the number of pictures Carrie has taken so far this year is related to the number of days she spends on vacation. p = d + 9. The variable d represents the number of days she spends on vacation, and the variable p represents the total number of pictures taken this year. How many days will Carrie have to spend on vacation before she will have taken 17 pictures? *

Answers

Answer: 8

Step-by-step explanation: Carrie already has taken 9 pictures. This means you have to subtract 9 from 17. That leaves 8 more photos to take.

ILL MARK BRAINLIEST! Someone helpp

Answers

Answer:

25-2

----------  less than 8

   3

Step-by-step explanation:

25 - 2 = 23

23/3 = 7.666...

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Find the probability. A cooler contains fifteen bottles of sports drink: seven lemon-lime flavored and eight orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. You and your friend both get lemon-lime. 3 13 ≈ 0.231 4 9 ≈ 0.444 1 5 = 0.2 4 15 ≈ 0.267

Answers

Answer:

[tex]\dfrac{4}{15} \approx \bold{0.267}[/tex]

Step-by-step explanation:

Given that:

Number of lemon - lime flavored bottles = 8

Number of orange flavored bottles = 7

Bottles are picked one by one.

First for the friend and then for the person himself.

To find:

The probability that both the bottles drawn are of lemon-lime flavor.

Solution:

Total number of bottles available in the cooler = 8 + 7 = 15

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(First\ lemon-lime) = \dfrac{8}{15}[/tex]

Now, lemon - lime flavored bottles left = 7

Total number of bottles left = 14

[tex]P(Second\ lemon-lime)=\dfrac{7}{14}[/tex]

Required probability:

[tex]P(Both\ lemon - lime) = \dfrac{8}{15}\times \dfrac{7}{14}\\\Rightarrow P(Both\ lemon - lime) = \dfrac{4}{15} \approx \bold{0.267}[/tex]

duffyduck i am mentally unwell sorry

Answers

Answer:

Sorry ♥️

Step-by-step explanation:

Idg but do sorry I hope get well soon❤

Answer: Ugh

Step-by-step explanation:

A plane takes off from an airport and travels at a steady speed of 350 miles per hour. Which of these graphs best represe
the airport, y, after traveling for x hours?
FLIGHT OF AIRPLANE

Answers

Answer:

A

Step-by-step explanation:

I found the answer

A car travels 58.8 kilometers in 2.6 hours. What is the car's average speed?

Answers

Answer:

22.6 km/hr

Step-by-step explanation:

58.8/2.6=22.6

The car's average speed is 22.6 kilometers

Estimate by using compatible numbers.
187 x 16 = _____
A.200 x 6 = 1,200
B. 200 x 20 = 4,000
O C. 185 x 6 = 1,110
D. 185 x 16 = 2,960
Answer or this cat will be in ur room 4 ever​

Answers

Answer:

LMF.AO Try D it's the most compatible number set

In a survey of people who owned a certain type of​ car, said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?
nothing​% of the people surveyed were satisfied with the car.

Answers

Answer:

3

Step-by-step explanation:

What is the greatest common factor of 14 and 56?
A. 7
B. 14
C. 21
D. 28
answer me!!!!!!!!¹²³⁴⁵⁶⁷⁸⁹⁰​

Answers

Answer:

B. 14

Step-by-step explanation:

The Greatest Common Factor (GCF) for 14 and 56, notation CGF(14,56), is 14.

Explanation:

The factors of 14 are 1,2,7,14;

The factors of 56 are 1,2,4,7,8,14,28,56.

So, as we can see, the Greatest Common Factor or Divisor is 14, because it is the greatest number that divides evenly into all of them.

Answer: The greatest common factor is B-14

Show work:

The factors of 14 are: 1, 2, 7, 14

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56


The common factors are 7 and 14 but you are looking for the GREATEST common factor so the greatest between 7 and 14 is.... B-14

Which list shows all the factor pairs of 72?
A. 1 and 72, 2 and 36, 3 and 24, 4 and 13, 6 and 12, 8 and 9
B. 1 and 72, 2 and 36, 3 and 24, 4 and 18, 6 and 12, 7 and 9
C. 1 and 72, 2 and 36, 3 and 24, 4 and 18, 6 and 12, 8 and 9
D. 1 and 72, 2 and 36, 3 and 24, 6 and 12, 8 and 9

Answers

Answer:

The answer is C.

Step-by-step explanation:

The answer is C. because for A. 4 * 13 is 52 not 72. For B. 7 * 9 is not 72 its 63. and D. It does not have 4 and 18.

Use the change of base rule to find the logarithm to four decimal places. (2 points) log base nine of 0.877.

Answers

Given:

The value is [tex]\log_90.877[/tex].

To find:

The logarithm to four decimal places using the change of base rule.

Solution:

We have,

[tex]\log_90.877[/tex]

Using the change of base rule, we get

[tex]\log_90.877=\dfrac{\log_{10}0.877}{\log_{10}9}[/tex]      [tex][\because \log_yx=\dfrac{\log_ax}{\log_ay}][/tex]

[tex]\log_90.877=\dfrac{-0.057000}{0.9542425}[/tex]

[tex]\log_90.877=-0.0597332439081[/tex]

Round the value to the four decimal places.

[tex]\log_90.877\approx -0.0597[/tex]

Therefore, the required value is -0.0597.

in the formula c=prn, p stands for?

Answers

Answer:

Price per item

Step-by-step explanation:

Answer:

Price Per Item

Step-by-step explanation:

Of the 75 cars that Lindsay saw pass on the highway, 15% had an out-of-state license plate. How many had an out-of- state license plate?​

Answers

Answer:

11.25

Step-by-step explanation:

Answer:

it's 11.25 % . I thik it is helpfull right?

SOLVEDDDDDDDDDDDDDDDD!!!!

Answers

Answer:

??????????????

...........

Point-Slope Form: y - y = m (x - x)
Example: point (2,7) and slope = -4

a) Create the Equation

b) Graph the line

Answers

Answer:

a) y-7=-4(x-2)

B) I don't know how to put a graph on brainly :/

Divers erected a cage in a shape of an upright cylinder on rhe ocean floor for protection. The diameter of the base measures 32 feet. How much space on the ocean floor does the cage have

Answers

Answer:

The cage will cover an area of 805 ft^2 on the Ocean floor

Step-by-step explanation:

To calculate the amount of space the cage has on the Ocean floor, we calculate the area of the base of the cylinder

Mathematically, that will be pi * d^2/4

= 22/7 * (32 * 32)/4

= 22/7 * 256 = 804.5714285714286

The cage will cover an area of 805 ft^2 on the ocean floor

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