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faltersainse [42]
3 years ago
11

A rectangular picture frame is 5 inches wide and 10 inches tall. You want to make the area 6 times as large by increasing the le

ngth and width by the same amount. Find the number of0 inches by which each dimension must be increased.
​
Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

5 inches

Step-by-step explanation:

(5 + x)(10 + x) = 6x²

x² + 15x + 50 = 6x²

5x² - 15x + 50 = 0

x² - 3x + 10 = 0

(x - 5)(x + 3) = 0

x = 5, x = -3

We want x to be positive, so x = 5.

Thus, each dimension must be increased by 5 inches.

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morpeh [17]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
How many halves are in the following<br> 12, 10, 13, 15,8 and 5
muminat
Since there are two halves in a whole, you can times each number by 2 to get the number of halves it has.

12*2=24
10*2=20
13*2=26
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6 0
4 years ago
Translate the following into an algebraic expression: A number is 30% of 20% of the number x.
bezimeni [28]

Answer: 0.06x

Step-by-step explanation:

  • An algebraic expression is an expression consist of integer constants, variables, and algebraic operations.

The given statement:  A number is 30% of 20% of the number x.

The required algebraic expression would be:

30% of 20% of x

=\dfrac{30}{100}\times \dfrac{20}{100}\times x  [we divide a percentage by 100 to convert it into decimal]

=\dfrac{6}{100}\times x\\\\=0.06x

Hence, the required algebraic expression would be :

0.06x

4 0
3 years ago
If robin can clean 72 rooms in 6 days how many rooms could he clean in 9 days
guajiro [1.7K]

Answer: 108 rooms

Step-by-step explanation: To solve this problem, we can set up a proportion. In the numerator of our first fraction, we will have the number of rooms Robin can clean and in the denominator, we have the time it takes him to clean 72 rooms which is 6 days.

In our second fraction, we don’t know how many rooms he can clean in 9 days. In fact, that’s what the problem is asking. Since we don’t know how many rooms Robin can clean in 9 days, we can put a variable in the numerator is our fraction. A variable is a letter that represents any number. I will use the variable “x” in this problem. In the position of the denominator, we have the time it takes him to clean X rooms which is 9 days.

Solving from here, we can use cross products so we multiply diagonally.

We have 72 rooms over 6 days equals X rooms over 9 days or 648 = 6x.

Solving from here, divide both sides by 6 and we find that x is equal to 108 which means that Robin can clean 108 rooms in 9 days.

7 0
3 years ago
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