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alukav5142 [94]
3 years ago
9

Sasha has 4 quarters in her pocket. She has 6 times as many quarters in her piggy bank. Draw a picture to show the number of qua

rters Sasha has in her piggy bank.
Mathematics
2 answers:
WARRIOR [948]3 years ago
5 0
Draw 24 quarters in her piggy bank
Sever21 [200]3 years ago
4 0
She has 24 quarters in her piggy bank 
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A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th
pochemuha

Answer:

x^2 + 15x - 60 = 0

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

(x + 15)\ by\ x

Area = 60in^2

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

Area = Length * Width

60= (x + 15) * x

Open Bracket

60= x^2 + 15x

Subtract 60 from both sides

x^2 + 15x - 60 = 0

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

Where

a = 1

b = 15

c = -60

So:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}

x = \frac{-15 \± \sqrt{225 + 240}}{2}

x = \frac{-15 \± \sqrt{465}}{2}

x = \frac{-15 \± \21.56}{2}

Split:

x = \frac{-15 + 21.56}{2} or x = \frac{-15 - 21.56}{2}

x = \frac{6.56}{2} or x = \frac{-36.36}{2}

x = 3.28 or x = -18.18

But length can't be negative;

So:

x = 3.28

The actual dimensions: (x + 15)\ by\ x is

Length =3.28 +15

Length =18.28

Width = x

Width =3.28

<em>The actual dimension is 18.28 by 3.28</em>

3 0
3 years ago
What is the greatest common factor of 8b^2 and 10b
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Answer:

2b

Step-by-step explanation:

The greatest common factor is the largest factor shared by the set of terms.

In this case, you will divide 2b from both terms:

\frac{8b^2}{2b} = 4b\\ \frac{10b}{2b} = 5 \\\\GCF: 2b

4 0
2 years ago
An arc is intercepted by a two radio that form an angle of 3π/4 radians. If the radius of the circle is 7 inches then which of t
elena-14-01-66 [18.8K]
The correct answer is 18.5
8 0
3 years ago
A small dog eats 3/4 of a cup of dog food twice a day. Using d for the numbers of days and f for the amount of food write an equ
rosijanka [135]

Answer:

f = food variable

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Equation: f = 1.5d

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2 years ago
David owns a clothes shop on Rolling Street. Which of the following is a statistical question that David can be asked?
valina [46]

Answer:

i would say d.

Step-by-step explanation:

because depending on whether he is a competitor seller go's by the competition prices they might want to know how low is his cheapest shirt they might want to know  which one is cheaper, and he would also keep track of his sales

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