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3 years ago

The graph below shows the solution to a system of inequalities

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

We have that

using a graph tool
I proceed to graph each of the cases to verify the answer
see the attached figures

the solution is the option C) x + 4y ≤ 15; y ≥ 0

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Half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories 1/4 of a pepperoni pizza plus a who

yulyashka [42]

Answer:

Correct choice is D (In a whole pepperoni pizza are 660 calories, in in a whole ham and pineapple pizza are 580 calories).

Step-by-step explanation:

Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.

1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then

$\dfrac{1}{2}x+\dfrac{3}{4}y=765.$

2. If 1/4 of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories. then

$\dfrac{1}{4}x+y=745.$

3. Multiply each equation by 4 and get a system of two equations:

$\left\{\begin{array}{l}2x+3y=3060\\x+4y=2980\end{array}\right.$

From the second equation $x=2980-4y$ , then

$2(2980-4y)+3y=3060,\\ \\5960-8y+3y=3060,\\ \\-8y+3y=3060-5960,\\ \\-5y=-2900,\\ \\y=580.$

Then

$x=2980-4\cdot 580=2980-2320=660.$

6 0

3 years ago

What's the answer to that question

nikdorinn [45]

Can you please put the question?

3 0

3 years ago

Read 2 more answers

Which choice represents the expanded form of the expression (x- 2)3

Murljashka [212]

Answer:

(x−2)^3=x^3−6x^2+12x-8

Step-by-step explanation:

if you are talking about the binomial (x−2)^3 you must expand then simplify. (x-2)3 you would just remove the parenthesizes and multiply -2 with 3 to get x-6 but I think you meant (x-2)^3

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2 years ago

What is the sine of π/2

Pachacha [2.7K]

Answer:

the sine is 1

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3 years ago

A sweater for 36.00 at 7% sales tax

blagie [28]

$36 x 1.07 = $38.52
The cost will be $38.52
Tax on this is $2.52

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3 years ago