Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much cheese does she use for each pizza? At this rate, how much cheese will she need to make 15 pizzas?

Answer:

Explanation:

The statement is expressed as

y

∝

1

x

inverse means

1

variable

To convert to an equation introduce k, the constant of variation.

y

=

k

×

1

x

⇒

y

=

k

x

To find k use the given condition that y = 8 when x = 4

8

=

k

4

⇒

k

=

4

×

8

=

32

⇒

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

32

x

2

2

∣

∣

∣

−−−−−−−−−−−−

x

=

16

→

y

=

32

16

⇒

y

=

2

when

x

=

16

Answer:

560-39<275*2

Step-by-step explanation:

560-39=521

275*2=550

521<550

Answer:

<

Step-by-step explanation:

560 - 39 [ ] 275 × 2

We can evaluate the expressions first before deciding which sign to use.

521 [ ] 550

As you can see, the left side of the equation is smaller than the right side of the equation, so the sign should be <.

521 < 550

521 is smaller than 550.

Other signs and meanings:

> means the left side is bigger than the right side of the equation.

≤ means the left side is smaller than or equal to the right side of the equation.

≥ means the left side is bigger than or equal to the right side of the equation.

Answer:

m<C = 66°

Step-by-step explanation:

Perpendicular bisector, AB divides angle CAD into two equal parts. Therefore:

(5x + 9)° = (7x + 3)°

Solve for x

5x + 9 = 7x + 3

Collect like terms

5x - 7x = -9 + 3

-2x = -6

Divide both sides by -2

x = 3

✔️m<C + m<CBA + m<BAC = 180° (sum of triangle)

m<C + 90° + (7x + 3)° = 180 (substitution)

Plug in the value of x and solve

m<C + 90 + 7(3) + 3 = 180

m<C + 90 + 21 + 3 = 180

m<C + 114 = 180

m<C = 180 - 114 (Subtraction property of equality)

m<C = 66°

Answer:

9/12 + 1/4 = 12/12 or 1

so the answer is A

Step-by-step explanation:

Answer:

I think the answer is C Angle-Angle-Side im not sure if im accurate but i hope it helps

Step-by-step explanation:

Answer:

1.14285714286 ounces per person

Step-by-step explaination:

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate

following this rule, 8 divided by 7 is 1.14285714286

Your assignment will probably ask you to simplify

Answer:

a dealership may offer a cheaper price to a customer for a vehicle so it can meet a sales target and earn an incentive.

Step-by-step explanation:

Answer:

Dequan walks 5 miles per day.

Step-by-step explanation:

So solve this problem, we just need to divide 20 miles by 4 days.

20 ÷ 4 = 5

Therefore, Dequan walks 5 miles per day.

Hope this helps! :D

Answer:

Slope sides are;

5.07 m and 6.39 m

Step-by-step explanation:

I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.

From the image attached, the missing angle is θ.

From sum of angles in a triangle,

θ = 180 - (44 + 34)

θ = 102°

Now, a & b represent the slopes of the roof.

Thus, using law of sines which is that;

a/sin A = b/sin B = c/sin C, we can solve as follows;

a/sin 34 = 9/sin 102

a = (9 × sin 34)/sin 102

a = (9 × 0.5512)/0.9781

a = 5.07 m

b/sin 44 = 9/sin 102

b = (9 × sin 44)/sin 102

b = (9 × 0.6947)/0.9781

b = 6.39 m

Answer:

D

Step-by-step explanation:

Slope is negative, derivative of x shows that -3 is the maximum in C/D but C is not negative

The function F(x) = -3(x + 3)^2 + 3.

The correct option is (D).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A variable y is said to be a function of the independent variable x if there is a relationship between them.

As per the given data:

We are given the equation of the functions G(x) and we have to find out the equation of the function F(x).

Equation of G(x) = x^2

For a left shift of 3 units x → x + 3.

⇒ y = (x + 3)^2

For a change in concavity, if the curve, multiply by -3.

⇒ y = -3(x + 3)^2

For an up shift of 3 units y → y -3.

⇒ y - 3 = -3(x + 3)^2

The function F(x) comes out to be:

F(x) = -3(x + 3)^2 + 3

Hence, The function F(x) = -3(x + 3)^2 + 3.

To learn more about Function, click:

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Answer:

6 lb = 2721.552 g

Step-by-step explanation:

1 lb = 453.592 g

6lb = 453.592 g × 6 = 2721.552 g

a²b is the same thing as ba²

b and a are two separate variables lets pretend a is 2 and b is 3

2² * 3 = 4 * 3 = 12

3 * 2² = 3 * 4 = 12

this is the commutative property of multiplication

An expression is defined as a set of numbers, variables, and mathematical operations. The two of the given expressions a²b and ba² are the same.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The two of the given expressions a²b and ba² are the same because if the two of the expressions are expanded then the value of the two expressions will be equal to each other.

Therefore, the two expressions are expanded as shown below,

a²b = a × a × b

ba² = b × a × a

Therefore, the two of the given expressions a²b and ba² are the same.

Learn more about Expression here:

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Answer:

x = -5

Step-by-step explanation:

Original equation:

2(2x - 7) = -34

Use distributive property

2 · 2x = 4x

2 · (-7) = -14

Plug these values back into the equation

4x - 14 = -34

Add 14 to both sides

4x = -20

Divide both sides by 4

x = -5

Hope this helps :)

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Answer:

325000 + 420000 = 745000

Step-by-step explanation:

They ran 745000 centimeters all together

Answer:

She covered 2.5 miles, she rode for 0.25 hours.

Step-by-step explanation:

0.25*10=2.5

Answer:

jhgjihSd

Step-by-step explanation:

Answer:

two committees because 4 is in each

Answer:

Step-by-step explanation:

lateral area=πr²h=π×3²×6=54π sq. yards

surface area=2πr²+πr²h=2π×3²+54π=18π+54π=72π sq. yards

Answer:

the y-intercept would be 24

Step-by-step explanation:

hope this helps! :D

Answer: 129 m^2

Step-by-step explanation

Answer: 129 m^2

Step-by-step explanation:

Answer:

Your slope will be 2

Step-by-step explanation:

[tex]\frac{7-(-3)}{-6-(-11)}[/tex]= [tex]\frac{10}{5}[/tex]= 2

Answer:

Option A and B

Step-by-step explanation:

[tex]x<|-3|=x<+|-3|\\x<-3[/tex]

-8 < -3: True

0 < -3: True

4 < -3: False

Answer:

regular parabola but shifted up 3 on the y axis

Step-by-step explanation:

Answer:

I'm pretty sure it's 1,1.

Step-by-step explanation:

Answer:

(1,1)

Step-by-step explanation:

sub to pewdiepie

Answer:

$3250

Step-by-step explanation:

10% of 32500 = 3250

3250 x 12 months = $39,000

Answer:

325  i just did a test and this is the answer

Step-by-step explanation:

Your monthly income is your annual income divided by 12:

= $3,250.

You are investing 10% of $3,250.

Convert 10% to decimal form:

10% = 0.10.

$3,250 × 0.10 = $325

Answer:

A) $15

B) 8

C) $25

Step-by-step explanation:

the last one i think

If you add x gal of the 18% mixture, each gallon adds 0.18 gal of salt, so x gal would add 0.18x gal of salt.

The 15 gal of 2% salt mixture already contains 0.02 (15 gal) = 0.3 gal of salt.

The total volume of the new mixture would be (15 + x) gal. To achieve a 7% concentration of salt, you would need to add x gal of the 18% mixture such that

(amount of salt) / (total volume) = (0.3 + 0.18x) / (15 + x) = 0.07

Solve for x :

0.3 + 0.18x = 0.07 (15 + x)

0.3 + 0.18x = 1.05 + 0.07x

0.11x = 0.75

x = 0.75 / 0.11 ≈ 6.82 gal

Answer:

+20 bc 2x10= 20 so +20>20