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2 years ago

9

What is the solution to the inequality 16x - 70x < 27?

2 answers:

vlada-n [284]2 years ago

5 0

Answer:

16x-70x=-64

-64x 《27.

Julli [10]2 years ago

5 0

Answer:

x > -0.5

Step by Step Solution:

<u>Step 1: Combine like terms </u>

16x - 70x < 27

-54x < 27

<u>Step 2: Divide both sides by -54 </u>

-54x < 27

-54x / -54 < 27 / -54

<u>Since you divide by a negative, you must flip the sign </u>

x > -0.5

Answer: x > -0.5

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I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Dmitrij [34]

Answer:

$V = \frac{450L - 6 L^{3} }{10}$

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

$V = L^{2} H$

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

<u>Area:</u>

Base: $L$ × $L = L^{2}$

Roof: $L$ × $L = L^{2}$

Side: $4 H$ × $L = 4HL$ (we have considered all four sides)

<u>Cost:</u>

Base: 4 $L^{2}$

Roof: 2 $L^{2}$

Side: $2.50 * 4HL = 10 HL$

Total cost:

4 $L^{2}$ + 2 $L^{2}$ + 10 $HL$ = 450

We simplify this equation further:

6 $L^2$ + 10<em>HL </em>= 450

10HL = 450 - 6 $L^2$

$H = \frac{450- 6 L^2}{10L}$

We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:

substituting $H = \frac{450-6L}{10L}$ in $V = L^{2} H$ :

$V = L^2$ × $\frac{450 - 6L }{10L}$

Simplifying it further:

$V = L$ × $\frac{450 - 6L}{10}$

$V= \frac{450L - 6L^3}{10}$ is the final answer.

3 0

3 years ago

Which number line and equation show how to find the distance from -2 to - 5?

Lady bird [3.3K]

Answer:

B

Step-by-step explanation:

If you're concerned with the points -2 and -5, you would be looking for a number line with those points plotted on it. The only one is ...

number line B

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2 years ago

If 3 dogs were 2 ft and 4 were 5 what would be the total height of all of them together

seraphim [82]

Answer:

26 i think

Step-by-step explanation:

since the 3 dogs are 2 feet tall you would multiply them then multiply 4 by 5 and get 20 and 3x2 is 6 you add it up and get 26

7 0

3 years ago

Read 2 more answers

Assume m<2 = 35°. Find the measure of all of the other

soldi70 [24.7K]

m<1 = 145 | Supplementary
m<3 = 35 | Vertical
m<4 = 145 | Supplementary
m<5 = 145 | (With Angle 4) If parallel then alternate interior angles congruent
m<6 = 35 | (With Angle 5) Supplementary
m<7 = 35 | (With Angle 6) Vertical
m<8 = 145 | (With Angle 7) Supplementary

Hope it helps <3

(If it does, maybe brainliest :) Need one more for rank up)

6 0

3 years ago

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Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.

maxonik [38]

(a) Complementary angles

(b) Vertical angles

(c) Supplementary angles

<u>Explanation:</u>

Complementary angles are those two angles whose sum is 90 degrees.

Supplementary angles are those two angles whose sum is 180 degrees.

Vertical angles are the angles opposite each other when two lines cross.

(a)

Angles 1 and 5 are complementary angles

(b)

Angles 3 and 5 are vertical angles

(c)

Angles 3 and 4 are supplementary angles

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3 years ago