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3 years ago

G=7/5(p-45) The solution is p=g+_ Simplify your answers. Type an integer or fraction.

Mathematics

2 answers:

amm18123 years ago

7 0

So firstly, multiply both sides by 5/7 (reciprocal of 7/5): $\frac{5}{7}g=p-45$

Next, add both sides by 45 and your answer will be: $\frac{5}{7}g+45=p$

iVinArrow [24]3 years ago

7 0

$\frac{7}{5}(p-45)=g \implies \\ p-45 =\frac{5}{7}g= \implies\\ p=\frac{5}{7}g+45$

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7. The store at your school wants to stock T-shirts that come in five sizes (small, medium, large, XL, XXL) and in two colors (o

kenny6666 [7]

Answer:

a. 10

b. 0.1

Step-by-step explanation:

a. The t-shirts comes in 5 sizes (Small,medium,large, extra large and extra extra large) and two colors orange and black. The total different type of shirts are 5*2=10 different type of t-shirts.Also if we make sample space of all shirts we can assess the total different type of t-shirts. sample space=S={small orange,medium orange,large orange,XL orange,XXL orange,small black,medium black,large black,XL black,XXL black}. n(S)=total different type of shirts=10.

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3 years ago

Solve the equation 3/2(2-6x)+1=3-5x

tigry1 [53]

Answer:

Here's a tip:

Step-by-step explanation:

Use the acronym PEMDAS to solve.

P arenthesis

E xpoments

M ultiplication

D ivsion

A ddition (Left to right)

S ubtraction (Left to right)

8 0

3 years ago

Nola purchased 2.5 pounds of cheese for $10.50. Her mother purchased 3 pounds of the same cheese for $12.60. The cost of cheese

jeka94

Answer:

cost per pound = $4.20

Step-by-step explanation:

Cheese cost per pound = ?

first for the cost per pound

cost per pound = total cost / pounds bought

cost per pound = $10.50 / 2.5 pounds

cost per pound = $4.20

to check the above answer is correct

cost per pound = total cost / pounds bought

cost per pound = $12.60 / 3 pounds

cost per pound = $4.20

Therefor, the cheese costs $4.20 per pound.

4 0

3 years ago

A candy box is made from a piece of cardboard that measures 23 by 13 inches. Squares of equal size will be cut out of each corne

wolverine [178]

Answer:

2.67 inches.

Step-by-step explanation:

Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).

The formula for a rectangular box = L × B × W

= (23 -2y)(13-2y) (y)

= (299 - 46y - 26y + 4y²)y

= 299y - 72y² + 4y³

Now for the maximum volume:

dV/dy = 0

This implies that:

299y - 72y² + 4y³ = 299 - 144y + 12y² = 0

By using the quadratic formula; we have :

$= \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}$