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3 years ago

Convert the following sentence into an algebraic expression: a number increased by 5

Mathematics

1 answer:

Sloan [31]3 years ago

5 0

Answer:

x + 5

Step-by-step explanation:

Let x be the unknown number. Increased means adding, so you add 5 to the unknown number.

Resulting in x + 5

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Which value for x completes the conditional relative frequency table by column?

zheka24 [161]

Answer-

In the conditional relative frequency table by column, the value of x is 0.85

Solution-

From the paint color preference table,

Liked new paint color + Disliked new paint color = 1

$\Rightarrow x+0.15 = 1$

$\Rightarrow x=1-0.15$

$\Rightarrow x=0.85$

Therefore, we have x=0.85 or 85% of adults who like the new color of the paint.

7 0

3 years ago

The ideal width of a safety belt strap for a certain automobile is 6 cm. The actual width can vary by at most 0.45 cm. Write an

OlgaM077 [116]

Answer:

$|x-6|\le 0.45$

$x\in [5.55,6.45]$

Step-by-step explanation:

Absolute Value Inequality

Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.

Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.

The variation (unsigned) from the ideal width is:

$|x-6|$

The question requires that the variation is at most 0.45 cm. That poses the inequality:

$|x-6|\le 0.45$

That is the range of acceptable widths. Let's now solve the inequality.

To solve an inequality for an absolute value less than a positive number N, we write:

$-0.45\le x-6 \le 0.45$

This is a double inequality than can be easily solved by adding 6 to all the sides.

$-0.45+6\le x \le 0.45+6$

Operating:

$5.55\le x \le 6.45$

That is the solution in inequality form. Expressing in interval form:

$\boxed{x\in [5.55,6.45]}$

3 0

4 years ago

What is the inverse of the function y=3x+4

almond37 [142]

$f^{-1} (x)=- \frac{4}{3} + \frac{x}{3}$

6 0

3 years ago

Debra, age 28, earns $4740 per month. Every month she saves $410. Additionally, she has $2520 in outstanding credit cards and ma

bagirrra123 [75]

Answer:

8.65%

Step-by-step explanation:

We have been given that Debra earns $4740 per month. Every month she saves $410. Additionally, she has $2520 in outstanding credit cards and makes a $210 monthly payment of these cards.

$\text{Savings ratio}=\frac{\text{Savings}}{\text{Income}}\times 100\%$