What does x equal? 7x

The volume of one of these solid figures can be measured using a unit cube. Which figure is it?

andre [41]

Answer: The third one

Step-by-step explanation:

8 0

3 years ago

What is the solution to this system of equations? On a coordinate plane, 2 lines intersect at (negative 6, negative 2). What is

Anna007 [38]

Answer: The answer is (-6,-2)

7 0

3 years ago

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The dimensions of a rectangular garden were 4m by 5m. Each dimension was increased by the same amount the garden then had an are

pogonyaev

The dimension of new garden is 7 meter by 8 meter

Solution:

The dimensions of a rectangular garden were 4m by 5m

Length = 4 m

Width = 5 m

Each dimension was increased by the same amount the garden then had an area of 56 square meter

Let "x" be the amount of increase

Then,

Length = 4 + x

Width = 5 + x

Also, given that,

New area = 56 square meter

The area of rectangle is given as:

$Area = length \times width$

Substituting the values we get,

$56 = (4+x)(5+x)\\\\56 = 20 + 4x + 5x + x^2\\\\x^2 + 9x + 20 - 56 = 0\\\\x^2 + 9x -36=0$

Let us solve the above equation by quadratic formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text{For } x^2+9x-36 \text{ we get , }$

a = 1 and b = 9 and c = -36

Substituting the values of a = 1 ; b = 9 ; c = -36 in above quadratic formula we get,

$x = \frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-36\right)}}{2\cdot \:1}\\\\x = \frac{-9\pm \sqrt{81+144}}{2}\\\\x = \frac{-9 \pm 15}{2}$

We get two solutions,

$x = \frac{-9+15}{2} \text{ or } x = \frac{-9-15}{2}\\\\x = 3 \text{ or } x = -12$

Since dimension cannot be negative, ignore x = -12

Thus solution is x = 3

Length = 4 + x = 4 + 3 = 7

Width = 5 + x = 5 + 3 = 8

Thus dimension of new garden is 7 meter by 8 meter

5 0

3 years ago

Your friend is looking at laptops for college, and is comparing the different screen sizes. Use the diagram and formula below to

elena-14-01-66 [18.8K]

For this case what we should do is write correctly the given equation:
D ^ 2 = W ^ 2 + H ^ 2
We substitute the values:
D = 17inch
H = 9inch
Substituting:
17 ^ 2 = W ^ 2 + 9 ^ 2
We clear the value of W:
W = root (17 ^ 2 - 9 ^ 2)
W = 14.4 inch
Answer:
The width of the laptop screen is:
D. W = 14.4 inch

5 0

3 years ago

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Tom earned $72 walking dogs for 6 hours. How many total hours will it take tom to earn $96 in all? Solve using unit rates

slava [35]

Answer:

8 hours

Step-by-step explanation:

Step one:

Given data

Tom earned $72 walking dogs for 6 hours

amount earned = $72

time taken = 6 hours

Required

The time taken to earn $96

Step two:

let us find the unit rate of his earning

unit rate = 72/6

= 12 per hour

In 1 hour Tom earns $12

in x hours he will earn $96

cross multiply we have

96*1= 12x

divide both sides by 12

x= 96/12

x=8 hours

3 0

3 years ago

What does x equal? 7x - 12 = 79