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3 years ago

Plz help me and solve step by step Thank you.

Mathematics

1 answer:

Furkat [3]3 years ago

6 0

Answer:

Inequality: $5x+6\geq 31$

Solution: $x\geq 5$

Step-by-step explanation:

"Six more" is asking you to add 6, so add 6 to 5 times x.

"At least" means equal or greater than, so the inequality has to be equal or greater than 31.

To solve for x, subtract 6 from both sides of the inequality to get $5x\geq 25$

Then divide both sides by 5 to get $x\geq 5$

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A 120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig

mezya [45]

Answer:

x= 3 inch should be turned up on each side

Step-by-step explanation:

Let the height of trough be x.

Width of trough be 12 - 2x.

and length of trough = 120 inch

Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)

For maximum volume, we find V' = 0

i.e 1440 -480x = 0

or x = $\frac{1440}{480}$

or x= 3

Hence x= 3 inch should be turned up on each side

3 0

3 years ago

The rectangular floor of a storage shed has an area of 580 square feet. The length of the floor is 9 feet more than its width (s

Marysya12 [62]

9514 1404 393

Answer:

length: 29 ft
width: 20 ft

Step-by-step explanation:

Assuming the dimensions are integer numbers of feet, you're looking for factors of 580 that have a difference of 9.

580 = 1×580 = 2×290 = 4×145 = 5×116 = 10×58 = 20×29

The last pair of factors differs by 9, so ...

the length is 29 feet; the width is 20 feet.

8 0

2 years ago

The mean of a set of numbers is 8, and the mode is 9.

ryzh [129]

You can start by looking at the mode of the set of number automatically b and d are eliminated. We then proceed to calculate the mean so add all the numbers in A so it’ll be, 52 then divide by the amount of numbers in the set so 6. 52/6 =8.6
And C ends up being 48 so 48/6 = 8
Therefore your answer is C

5 0

2 years ago

Need help pleaseee i have a test on friday

larisa [96]

Answer:

x = 8

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{4}{x}$ = $\frac{1}{2}$ ( cross- multiply )

x = 8

5 0

3 years ago

B. Were you able to find the solution(s) of each Mathematical sentence? How did

alexandr1967 [171]

Answer:

Evaluate each given numbers, expressions or equation.

Check the values or numbers.

Now in order to solve we proceed in the manner

Read the problem

Analyze the problem

Write the given variables

Find the missing variables

Write the equation

Solve the equation

4 0

2 years ago