In 1947, milk cost $0.75 per gallon and bananas cost $0.15 per pound. Donna bought two gallons of milk and some bananas for a total of $2.25 in 1947. How many pounds of bananas did she buy?

Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.

y = x^2 + 2x

y = -3x + 6 so

x^2 + 2x = -3x + 6

x^2 + 5x - 6 = 0

(x + 6)(x - 1) = 0

So x = 1  ( we ignore the negative)

So after 1 week  they have saved the same amount  and the amount is -3 + 6 = 3.

Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!

Answer:

x=5

Step-by-step explanation:

35+4x=x^2+30

collect the like terms n form a quadratic equation

x^2-4x-5=0

solve the quadratic equation

x=5  or x=-1

ignore the negative answer bcz week cant be negative

So the answer is 5 weeks

Answer:

second side = 6.75

third side = 9

Step-by-step explanation:

6/8 = 9/x

8x = 54

x = 6.75

8/12 = 6/y

8y = 72

y = 9

Answer:

Correct answer A. two-thirds and Correct answer D. three-halves

Step-by-step explanation

they have to be the same fraction or flipped

Answer:

1) 16

2) -12

3) 10

4) 18

5) 27

6) 215

7) 53

8) -10

9) -22

10) 22

11) 22

12) -5

Step-by-step explanation:

hope it helps!

Answer:

the answer is 5

Step-by-step explanation:

a right angle has a total of 90 degrees

so you subtract 65 from 90 and get 25

that is the total degrees in the rest of the angle

then you would have to divide 25 by 5

leaving you with 5

Answer:

170.67 cm^3

Step-by-step explanation:

The volume is given by ...

 V = 1/3s²h

We are given that 4s=32, so s=8. We are also given that h=8. (All linear dimensions are in centimeters.) Then the volume is ...

 V = (1/3)(8²)(8) = 512/3 = 170.67 . . . . cm³

Answer:

170.67 cm^3

Step-by-step explanation:

took the test

Answer:

The common difference is 4 or C on your test

Step-by-step explanation:

-17+4= -13

-13+4= -9

And so on...

Absolute value is the distance from zero, it doesnt matter if its -58 or 58 its absolute value is always going to be positive, so if you have a negative just get rid of that negative sign. Absolute value makes it all positive -492= 492 in absolute value.

Answer:

2

Step-by-step explanation:

4 can be divided by 2 & 2 can be divided by 2

Answer:

33, 44

Step-by-step explanation:

11 feet in 9 minutes

27 minutes is 3 times as long as 9 minutes, meaning it would be 3 times as more feet. it would crawl 33 feet in 27 minutes.

36 minutes is 4 times as long as 9 minutes, meaning it would be 4 times as more feet. It would crawl 44 feet in 36 minutes.

Answer:

50.24 feet²

Step-by-step explanation:

Given that:

Diameter of circular rug = 8 feets

To obtain the area of the circular rug, we use the formula for the Area of a circle = πr²

A = πr²

r = Radius of circle = diameter / 2 = 8 /2 = 4 feets

Area of circular rug = π * 4²

Area of circular rug = 3.14 * 16 = 50.24 feet²

Answer:

I got you!

The correct answer is B Fitteen is less than r

To translate that into a numerical inaquiltiy, that is 15<r but the answer to the question is B.

Hope this helps!

Brainliest would be nice!

Answer:

B

Step-by-step explanation:

Hello There!

An inequality must include < or > which means greater than or less than

This meaning that the inequality when shown by using words must include the is less than or more (sometimes greater) than

The answer would be B because it uses the expression is less than which can be represented by the inequality sign <

15 is less than r

exchange the inequality sign with is less than

15 < r

they still have the same meaning and it is written as an inequality

Reasons why its not the other answer choices

For A:

Four times 0.45 plus x

written as an expression:

4(0.45+x)

the expression does not include < or > therefore the statement "Four times 0.45 plus x " cannot be written as an inequality

For C:

Half the product of 4 and s

written as an expression:

[tex]\frac{4s}{2}[/tex]

once again the expression does not include an inequality sign therefore C is not the answer.

For D:

eight times p is 20

written as an expression

8p = 20

Like the other answer choices the expression does not include an inequality sign therefore D is not the correct answer choice

Answer:

Step-by-step explanation:

-8x + 2y = 4

y = 4x + 2

Put the value of y into the first equation

-8x + 2(4x + 2) = 4                 Remove the brackets

-8x + 8x + 4 = 4                    The 8xs cancel out.

4 = 4                                     But this is useless. There is no single solution

Answer:

s/2 is the equation

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation being shown in the question is the absolute value of x. Absolute values when graphed show up as a V-shaped graph pointing upwards. This is because whatever value is passed as an input will output a positive, regardless of whether the input is positive or negative. Meaning that both 4 and -4 will output 4. That is why the graph is a V-shaped because the outputs repeat for both positive and negative inputs. In this case since the negative is outside the absolute value brackets the positive value given from the absolute value of the input will be turned into a negative. So this will cause the V-shape graph to be reflected across the x-axis. As seen in the attached picture below.

Answer: This is the correct answer
I just took the test. :)

Step-by-step explanation:

Step-by-step explanation:

To find the composite function, it says

[tex](f \: o \: g)(x)[/tex]

means we put the function g(x) into f(x) so that means it looks like

[tex]( \sqrt{x}) {}^{2} - 4[/tex]

Which equal

[tex]x - 4[/tex]

So that expression above is the answer.

To find the range we must find the range of the inner function ,(g(x) and then see which parts it corresponds of f(x).

The range of a g(x) which is a radical function is all real numbers.

The range of a f(x) which is a quadratic function is all real numbers greater than or equal to -4.

This means for our function to work we can use any numbers as long as it greater than -4.

So we would represent that as x is all real numbers as long as x is greater than or equal to -4

In interval notation this would be

[-4,+ infintiy)

Answer:

B

Step-by-step explanation:

(r^-7)^6 = r^-42 = 1/r^42

Answer:

-1/2

Step-by-step explanation:

[tex]y^{2} = -4 \\y^{1} =-1\\x^{2} = 0\\x^{1} = -10[/tex]

Using the formula  [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

[tex]\frac{-4-1}{0-(-10)}[/tex]  

Simplifly

[tex]\frac{-5}{10} = \frac{-1}{2}[/tex]

Answer:

the answer is 9

check the picture for workings

Answer:

254.5

Step-by-step explanation:

area of circle = pi (3.142) x 9squared

answer 254.5 or 81 pi

Answer:

A

Step-by-step explanation:

We want to solve the equation:

[tex]2\sin^2(x)=\sin(x)[/tex]

For the interval [0, 2π).

First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:

[tex]2\sin^2(x)-\sin(x)=0[/tex]

We can factor:

[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]

By the Zero Product Property:

[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]

Solve for each case:

[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]

Use the unit circle to solve:

[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]

Hence, our answer is A.

*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.

Answer:

A

Step-by-step explanation:

The slope of a vertical line is undefined

The slope of a horizontal line is 0

Answer:

Total amount pay by family member = $23.98

Step-by-step explanation:

Given:

Average amount spent on food = $22

Tax rate on restaurant food = 9%

Find:

Total amount pay by family member

Computation:

Amount of tax pay by family member = Average amount spent on food x Tax rate on restaurant food

Amount of tax pay by family member = 22 x 9%

Amount of tax pay by family member = 22 x 0.09

Amount of tax pay by family member = $1.98

Total amount pay by family member = Average amount spent on food + Amount of tax pay by family member

Total amount pay by family member = 22 + 1.98

Total amount pay by family member = $23.98

Answer:

SVU = 90

TUV = 65

Step-by-step explanation:

Answer:

sorry if it's messy, I tried my best even though I'm not sure for ST.

Answer:

x =  47 degrees.

Step-by-step explanation:

The angles in a triangle add up to 180 degrees, therefore:

x + 43 + 90 = 180

x = 180 - 43 - 90

x = 180 - 133

= 47 degrees.

Answer:

y=12.25x

i cannot see the question but the slope will be the increase of the certain product

the y is the dependent factor that will increase due to the slope/x-intercept

Step-by-step explanation:

Answer:

$6200

Step-by-step explanation:

Given data

Rate= 4%

Principal=$5000

Time = 6 years

The simple interest formula is

A=P(1+rt)

substitute

A=5000(1+0.04*6)

A= 5000(1+0.24)

A=5000*1.24

A=$6200

Answer:

y = 3

Step-by-step explanation:

We already know the slope, all we need to do is find the y-intercept.

You have to plug the coordinates into the equation, y = 0x + b

y = 0x + b

3 = 0(-4) +b

3 = 0 + b

3 = b

The equation is y = 3