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3 years ago

A triangle has two sides of length 13 and 8. What compound inequality describes

Mathematics

1 answer:

Molodets [167]3 years ago

5 0

Answer:

5 < x < 21

Step-by-step explanation:

The shortest would be if the 8 leg folded back on the 13 leg

13 - 8 > 5

The logest would be if the 8 leg extended the 13 leg

13 + 8 < 21

Therefor

5 < x < 21

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10$ is spent on 2 big pails and 1 small one. A smail pail cosf half as much as each big one. How much is spent on a big pail? Ho

Mila [183]

Answer:

$4 is spent on a big pail and $2 is spent on a small pail.

Step-by-step explanation:

Given:

10$ is spent on 2 big pails and 1 small one.

A small pail cost half as much as each big one.

Now, to find the amount spent on a big pail and on a small pail.

Let the cost of a big pail be $x.$

And the cost of small pail be $\frac{x}{2} .$

As given, there are 2 big pails.

And the total money spent = $10.

According to question:

$(x+x)+\frac{x}{2}=10$

$2x +\frac{x}{2}=10$

$\frac{4x+x}{2} =10$

$\frac{5x}{2} =10$

Multiplying both sides by 2 we get:

$5x=20$

Dividing both sides by 5 we get:

$x=4.$

The cost of a big pail = $4.

So, the cost of a small pail = $\frac{x}{2} =\frac{4}{2}=\$2.$

Therefore, $4 is spent on a big pail and $2 is spent on a small pail.

6 0

3 years ago

Find the mean, median, and mode for the data set below. weights of books (oz): 10 9 9 14 13 11

ziro4ka [17]

Answer:

Mean: 11

Median: 10.5

Mode: 9

3 0

3 years ago

Select all expressions that are equivalent to 12- 4x

snow_lady [41]

I think it’s just A the rest all come out with -12 after being distributed

7 0

3 years ago

Baby's crib would be about how long? 1 m 2 m 10 m 1 km question #8truefalse score: the length of a small object, such as a penci

Dafna1 [17]

A baby's crib would be about 1 m
False
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7 0

3 years ago

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Hich ordered pair is the solution to the system of equations? {x=(1)/(2)y+5} {2x+3y=-14}

faltersainse [42]

Answer:

(2, - 6 )

Step-by-step explanation:

Given the 2 equations

x = $\frac{1}{2}$ y + 5 → (1)

2x + 3y = - 14 → (2)

Substitute x = $\frac{1}{2}$ y + 5 into (2)

2( $\frac{1}{2}$ y + 5 ) + 3y = - 14 ← distribute and simplify left side

y + 10 + 3y = - 14

4y + 10 = - 14 ( subtract 10 from both sides )

4y = - 24 ( divide both sides by 4 )

y = - 6

Substitute y = - 6 into (1) for corresponding value of x

x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2

Solution is (2, - 6 )

8 0

3 years ago

Read 2 more answers