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Alborosie
2 years ago
14

Laverne is making bags of party favors for each of the 7 friends attending her birthday party. She does not want to spend more t

han $42 on the party favors. Write and solve an inequality to find the maximum cost for each party favor bag.
Mathematics
1 answer:
Zolol [24]2 years ago
5 0
The maximum cost would be 6 with the inequality 6 ≥ x representing how.

You can solve this question by first turning it into an equation. She needs to find how much she can spend for each party favor on each friend so you want to set this up as 7x=42 with c being how much is the maximum cost per friend. You then want to isolate x by dividing 7 on both sides which leaves you with x=6

Now that you know the maximum cost for each bag is 6 you need to create the inequality. Because the maximum is 6 it can also be anything lower than 6 aswell, so you can say that the inequality is 6 ≥ x.
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Translate the shape A three squares right and three squares up.
aleksandr82 [10.1K]

Based on the graph given, the coordinates of the vertices of the image are (4,4) (6,4) (4,7).

<h3>What is the coordinate about?</h3>

In the graph above, the coordinate given are: (1,1) (3,1) (1,4) To be able to find the coordinates of the vertices, we need to translate 3 square up and also 3 square down and as such it will be:

(x + 3, y + 3)

( 1 + 3, 1 + 3) = (4,4)

( 3 + 3, 1 + 3) = (6,4)

( 1 + 3, 4 + 3) = (4,7).

Therefore, Based on the graph given, the coordinates of the vertices of the image are (4,4) (6,4) (4,7).

Learn more about coordinates from

brainly.com/question/17206319

#SPJ1

7 0
2 years ago
Solve to find x and y in the diagram. HELP ASAP!!
Lapatulllka [165]
X=12, y=7.5

Here is an explanation if you want to know how to do it:

First, look at the diagram and think about what you know so far. Since the lines are parallel, 5x+4y and 12y must be equal. We also know that there is a right angle, so since both angles are equal, 12y=90 and 5x+4y=90.

Solve for y by dividing 90 by 12 to get 7.5, so y=7.5. Sub in this value to the equation on top and you should get 5x+4(7.5)=90 4(7.5)=30, so subtract that from 90 to get 60 and divide 60 by 5 to get 12, so x=12.
5 0
3 years ago
A local store is advertising a shirt on sale for 40% off the original price. The sale price is $21.00. What was the original pri
pishuonlain [190]

Answer:

  $35

Step-by-step explanation:

If $21 is 60% of the original price, then the original price is ...

  21 = 0.60p

  21/0.60 = p = 35

The original price is $35.00.

8 0
2 years ago
Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144
Monica [59]

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

Read more about polynomials at:

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5 0
1 year ago
A circle has the circumference of 3.75 in. What is the diameter of the circle? (Use 3.14 for p. Round to the nearest tenth.) a.
HACTEHA [7]

Answer:

<h2>b. 1.2 in</h2>

Step-by-step explanation:

The formula of a circumference:

C=d\pi

<em>d</em> - diameter

We have <em>C = 3.75 in</em><em>.</em>

Substitute:

d\pi=3.75\qquad\text{use}\ \pi\approx3.14\\\\3.14d=3.75\qquad\text{divide both sides by 3.14}\\\\d=\dfrac{3.75}{3.14}\\\\d=\dfrac{375}{314}\\\\d\approx1.2\ in

7 0
2 years ago
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