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3 years ago

14

Solve the inequality –8 < x – 14.

1 answer:

kodGreya [7K]3 years ago

7 0

The answer is x=6. Hope this helped.

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Simplify the following expression:

Phantasy [73]

$\frac{4}{ \frac{1}{4} - \frac{5}{2} }$

To begin, we can simplify the expression's denominator by finding a common denominator between the denominators of the fractions in the denominator. To make them compatible, we can convert $\frac{5}{2}$ into $\frac{10}{4}$ :

$\frac{4}{ \frac{1}{4} - \frac{5}{2}( \frac{2}{2}) } = \frac{4}{ \frac{1}{4} - \frac{10}{4} }$

Next, we can simplify:

$\frac{4}{ \frac{1}{4} - \frac{10}{4} } = \frac{4}{ -\frac{9}{4}}$

Finally, to cancel the denominator within the denominator, we can multiply the whole expression by $\frac{4}{4}$ , or 1:

$\frac{4}{ -\frac{9}{4}}* \frac{4}{4} = -\frac{16}{9}$

The expression simplifies to $-\frac{16}{9}$ , or $-1 \frac{7}{9}$ as a mixed number.

6 0

3 years ago

Read 2 more answers

On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 11 and length of 9

Studentka2010 [4]

The image of the arrow is missing, so i have attached it.

Answer:

A_t = 69.5 cm²

Step-by-step explanation:

In a second image attached, I have divided the arrow into triangle and rectangle.

From the second image,

A1 is area of triangle while A2 is area of rectangle

Area of triangle is; A1 = ½bh

Our triangle base is given as 9 cm.

To get the height, we will subtract the rectangle height of 8 cm from the total arrow height.

Thus; height of triangle; h = 11 - 8 = 3cm

Thus;

A1 = ½ × 9 × 3

A1 = 13.5 cm²

Formula for area of rectangle is;

A2 = length × breadth

A2 = 8 × 7

A2 = 56 cm²

Thus, total area of arrow is;

A_t = A1 + A2 = 13.5 + 56

A_t = 69.5 cm²

8 0

3 years ago

What is the area of a rectangle that has side lengths of 3/4 yard and 5/6 yard

Ahat [919]

We are asked to find the area of the rectangle that has side lengths of 3/4 yard and 5/6 yard.

We know that area of rectangle is width times length.

To find the area of the given rectangle we will multiply both side lengths as:

$\text{Area of rectangle}=\text{Width}\times \text{Length}$

$\text{Area of rectangle}=\frac{3}{4}\text{ yard}\times\frac{5}{6}\text{ yard}$

$\text{Area of rectangle}=\frac{3}{4}\times\frac{5}{6}\text{ yard}^2$

$\text{Area of rectangle}=\frac{1}{4}\times\frac{5}{2}\text{ yard}^2$

$\text{Area of rectangle}=\frac{1\times5}{4\times2}\text{ yard}^2$

$\text{Area of rectangle}=\frac{5}{8}\text{ yard}^2$

Therefore, the area of the given rectangle would be $\frac{5}{8}$ square yards.

5 0

4 years ago

Solve the system of linear equations.<br> 15x - 5y = -20<br> -3x + y = 4

disa [49]

Answer:

Infinite solutions.

Step-by-step explanation:

Use the elimination method:

15x - 5y = -20

-3x + y = 4 Multiply this equation by 5:

-15x + 5y = 20 Now add this to the first equation:

0 = 0

So the 2 equations are the same and there are infinite solutions.

3 0

4 years ago

Write an algebraic expression for "21 less than a number divided by 4<br> ."

Anna35 [415]

(x-21)/4
x is the number subtract 21 and divide by 4

4 0

4 years ago

Read 2 more answers