A box of cereal states that there are 72 calories in a 3 fourth cup serving what is the unit rate for calories per cup? HHow many calories are there in 4 cups? The unit rate is _ calories per cup

Answer:

1.03

Step-by-step explanation:

10.52-1.25=9.27

9.27/3=1.03

- a midline of a trapezoid is always half of the sum of the legs.

so,

2TW = UV + SX

now plug in and solve,

2(14p + 22) = 17p + 4p + 65

28p + 44 = 21p + 65

7p = 21

p = 3

request: please mark brainiest, and click the thanks button if correct <3

Answer:

left, hope this helps

Step-by-step explanation:

Answer:

k= 320

.................

Answer:

150 degrees

Step-by-step explanation:

let x = measure of smaller angle

let 5x = measure of larger angle

larger angle plus smaller angle = 180

5x + x = 180

6x = 180

x = 30°

5(30) = 150°

Answer:

2.5%

Step-by-step explanation:

x=distance   y=time

x has been increased by 17%

100%+17% = 117%

y has been increased by 20%

100%+20%=120%

Now let's make the percentages into decimals. 117%=1.17 120%=1.2

To find the average speed you do the distance traveled divided by the time taken.

Average speed = 2.5%

Answer:

so at (0,20) she spent all the money on (20) orange juice and 0 coffee

then at (15,0) she spent all the money on (15) coffee and 0 orange juice

Step-by-step explanation:

Answer:

a. y=-3/2x-7

Step-by-step explanation:

First, you make the equation into slope intercept form, which is y=2/3x-3.

Then, because its perpendicular, the slope turns negative and upside down, so its -3/2, and then you insert the point (4, -1) to get the y intercept, which is -7. So you're answer is a.

(hope this helps :P)

Answer:

318.75

Step-by-step explanation:

15% of 375 is 56.25. then you just subtract 56.25 from 375 and get 318.75

Answer:

$ 56.25

Step-by-step explanation:

Reduction = 15% of 375

                [tex]= \frac{15}{100}*375\\\\= 0.15*375\\= $56.25[/tex]

Answer:

-1

Step-by-step explanation:

your welcome and ignore my bad writing

Answer:

a)x=5 b)x=4

Step-by-step explanation:

a)9.5×2=19

3x+4=19

19-4=15

15÷3=5

x=5

b)5×3=15

7+2x=15

15-7=8

8÷2=4

x=4

hope this helps

Given:

Two points are N(-1,-11) and P(-1,-3).

To find:

The value of NP.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Two points are N(-1,-11) and P(-1,-3). Using distance formula, we get

[tex]D=\sqrt{(-1-(-1))^2+(-3-(-11))^2}[/tex]

[tex]D=\sqrt{(-1+1)^2+(-3+11)^2}[/tex]

[tex]D=\sqrt{(0)^2+(8)^2}[/tex]

On further simplification, we get

[tex]D=\sqrt{0+64}[/tex]

[tex]D=\sqrt{64}[/tex]

[tex]D=8[/tex]

Therefore, the value of NP is 8 units.

Answer:

|x - 500| ≤ 20

Step-by-step explanation:

Answer:

$560

Step-by-step explanation:

Given that :

Principal, P= $500

Interest rate, r = 12% per year

Amount in account after 1 year

Time = 1 year

Using the relation :

A = P(1 + rt)

A = final amount in account

A = $500(1 + 0.12(1))

A = $500(1 + 0.12)

A = $500(1.12)

A = $560

Answer:

c

Step-by-step explanation:

because hypotenuse is greater than two sides

Answer:

the answer is 41

Step-by-step explanation:

because I love math

Answer:

40

Step-by-step explanation:

...... ...... ...... ..... .

Answer:

Hi...

a^2+b^2=c^2

b^2=c^2-a^2

b^2=22500-3600=18900

So...b=137/4

Answer:

140km after 2 hours

Step-by-step explanation:

Answer:

2=140

Step-by-step explanation:

Answer:

255 minutes

Step-by-step explanation:

slope = 17

- use the formula for slope, and simply plug it in.

Answer:

2x-5=y

I'm not sure how your graphing tool works so I'll give you five or so coordinates

(-1,-7)

(1,-3)

(0,-5)

(2,-1)

(-2,-9)

Step-by-step explanation:

You first need to write an equation that you can graph

Knowing that the slope is two we can write the following equation

2x+b=y

We also know that when x=1 y=-3

This gives us 2*1+b=-3

which means that 2+b=-3

subtract 2 from both sides to figure out the b=-3

This means that the line you have to graph is 2x-5=y

Answer:

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)

Answer:

angle b = 21 degrees

Step-by-step explanation:

102+57+ x =180 all triangles equal 180 degrees so set equal to 180

159+ x =180

x= 21

Answer:

The answer is 21 degrees.

Step-by-step explanation:

First of all, you should know that all the triangle sides add up to 180 degrees. Add up all the degrees, 102 + 57 + x.

102 + 57 + x = 180

159 + x = 180

x = 21

Answer:

HI = 10

Step-by-step explanation:

HI + IJ = HJ , substitute values

2x + 3x - 1 = 24 , that is

5x - 1 = 24 ( add 1 to both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Thus

HI = 2x = 2 × 5 = 10

Answer:

3.2

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator: 3 × 5 = 15.

Step 2: Add the product you got in Step 1 to the numerator: 15 + 1 = 16.

Step 3: Divide the sum from Step 2 by the denominator: 16 ÷ 5 = 3.2. That's it folks!

Answer:

3.2

Step-by-step explanation:

Step 1: divide numerator (1) by the denominator (5): 1 ÷ 5 = 0.2. Step 2: add this value to the the integer part: 3 + 0.2 = 3.2. So, 3 1 / 5 = 3.2.

Answer:

The maximum revenue Luci can make selling cookies in one day is $2,000.

The price she should sell the cookies to make the maximum revenue is $1

Step-by-step explanation:

W are given the following in the question:

x= -2000 p + 4000 ................ (1)

Therefore, revenue can be obtained as follows:

Revenue = R = px = p(-2000 p + 4000) = -2000p^2 + 4000p ........... (2)

Differentiating equation (2) with respect to p and equate to 0, we have:

dR / dp = -4000p + 4000 = 0 ................. (3)

From equation (3), we solve for p as follows:

-4000p + 4000 = 0

4000 = 4000p

p = 4000 / 4000

p = 1

Therefore, this implies that the price she should sell the cookies to make the maximum revenue is $1.

Substituting p = 1 into (2), we have:

Revenue = (-2000 * 1^2) + (4000 * 1)

Revenue = -2000 + 4000

Revenue = 2000

Therefore, this implies that the maximum revenue Luci can make selling cookies in one day is $2,000.

Answer:

D

Step-by-step explanation:

y is greater and equal than -6 because 13-19=-6

Answer:

it will be -.

Step-by-step explanation:

Given:

The function is

[tex]f(x)=x^2+3[/tex]

To find:

The slope of the tangent line at x = 11.

Solution:

The slope of the tangent is the value of f'(x) at x=11.

We have,

[tex]f(x)=x^2+3[/tex]

Differentiate with respect to x.

[tex]f'(x)=2x+0[/tex]              [tex]\left[\because \dfrac{d}{dx}x^n=nx^{n-1},\dfrac{d}{dx}C=0,\text{ where C is constant}\right][/tex]

[tex]f'(x)=2x[/tex]

Substitute x=11 in the above equation.

[tex]f'(11)=2(11)[/tex]

[tex]f'(11)=22[/tex]

Therefore, the slope of the tangent at x=11 is 22.