Write a real-world problem that could be represented by the following inequality.70 + 5x < 30 + 15x

Answers

Answer 1

Answer: Jack wants to paint his house. he collected quotations from two different painters. The first painter's total cost in terms of the number of hours (x) worked was modelled as f(x) = 70 + 5x, while that of the second painter was g(x) = 30 + 15x. Jack knows that it will take more than 4 hours to paint the house so he decided to go with the first painter whose cost is cheaper when the number of hours is above 4 hours.

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Find the lateral area of this pyramidwhose base is an equilateral triangle. Itsslant height is 12 in. and the length of eachside of the triangular base is 5
Which of the following could represent the graph of f(x) = x4 + x3 – 8x2 – 12x?

arnold full workout consist of 10 minutes of warm-up exercises, 25 minutes of lifting weights, and 15 minutes on the treadmill. What was the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout?

Answers

The ratio of the number of minutes Arnold lifted weights to the total number of minutes is 1:2 or 1 / 2.

What is ratio?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

Given:

Arnold full workout consist of 10 minutes of warm-up exercises, 25 minutes of lifting weights, and 15 minutes on the treadmill,

Calculate the total time of the work-out as shown below,

Total time of workout = Time of warm-up exercises + Time of lifting weights + Time on the treadmill

Total time of workout = 10 + 25 + 15

Total time of workout = 50 minutes,

Calculate the ratio of the number of minutes he lifted weights to the total number of minutes as shown below,

The ratio of the number of minutes he lifted weights to the total number of minutes = Time of lifting weights / Total time of workout

The ratio of the number of minutes he lifted weights to the total number of minutes = 25 / 50

The ratio of the number of minutes he lifted weights to the total number of minutes = 1 / 2.

To know more about Ratios:

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10+25+15 = 50 minutes
25 minutes for lifting weights
25/50 = 1/2

What is the answer to 10% of 70?

Answers

The answer is 7.

.10x70=7

10 precent of 70 would be 7

I need help with 3 please explain

Answers

Answer:

3 packages of plates, 2 packages of cups

Step-by-step explanation:

Find the multiples of 8 and 12, the lowest one they have in common will help with your answer.

8 : 8 16 24 32 40 48 56

12 : 12 24 36 48

The number that they both have (least) in common is 24.

For 8, it is the 3rd multiple and for 12 it would be the second

Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?g(x) = 2(3)x
g(x) = −(3)x
g(x) = (3)−x
g(x) = 2(3)−

Answers

Answer: $g(x)=(3)^(-x)$

Step-by-step explanation:

We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.

i.e. the function $f(x)$ will become $f(-x)$ .

Now, the given function : $f(x)=(3)^x$

Then , after reflection across y axis the new function will become:

$g(x)=f(-x)=(3)^(-x)$

The length of a painting is 3 times it's width. its perimeter is 64 inches find the length

Answers

Okay so, I finally got it thanks to Nintendo's help. We need to find the length, let x be the length. 3+x=4. Let's make a fraction, 3/4*32=24. Like I said, let x be the length. Therefore, the answer is x=24.

Somebody please assist me in answering this math question.

Answers

Firstly look at the options carefully and we will get to know that two answer options are incorrect because 2 of them are representing AT MOST SIGN which we don't need. So in that way Options B and D are eliminated.

So Now we are left with 2 options A and C. Lets figure it out.
We know that Carlos has 5 complete set with 4 individual figures and josh has 3 complete sets with 14 individual figures.
So lets write in the numerical language:-
let us assume that complete sets are X.
ATQ,
5x + 4 ≥ 3x + 14
subtracting 3x from both sides.
5x -3x + 4 ≥ 14
2x + 4 ≥ 14
subtracting 4 from both sides
2x ≥ 14 - 4
2x ≥ 10
dividing both sides by 2
x ≥ 5 Answer
So correct answer option is C

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