I got the answers for these already I just want to make sure they are correct and that my working is correct as well

Which subset of the real numbers contains the square root of 50

DENIUS [597]

The first thing you should do in this case is to know that you can rewrite the expression.
We have then:
root (50)
Rewriting:
root (2 * 25)
5 * root (2)
Which belongs to the set of irrational numbers.
Answer:
Irrational numbers.

3 0

3 years ago

A car salesman had $65,100 in sales. He earned $1,953 in commission. What percent commission did he earn. Explain your answer.

ahrayia [7]

Answer:

1. The percent commission earned is 3%.

2. The loan period is 3.29 years.

Step-by-step explanation:

1. Salesman has $65,100 in sales. He earned $1,953 in commission.

Let the percent commission earn be x%

Therefore, x% of the sales equals $1,953

$\frac{x}{100} of $65,100 = $1,953$

$\frac{x}{100} * 65100 = 1953\\\frac{65100x}{100} = 1953$

We cross multiply

$\frac{65100x}{100} = 1953\\65100x = 1953 * 100\\65100x = 195300$

Divide both side by the coefficient of 'x' (65100)

$\frac{65100x}{65100} = \frac{195300}{65100} \\x = 3$

Therefore, the percent commission earned is 3%

2. Interest (I) = $299 Principal (P) = $1300 Rate (R) = 7%

The formula for finding interest is given as: $I = \frac{PRT}{100}$

Therefore, substituting into the formula, we have:

$299 = \frac{1300 * 7 * T}{100}$

We are finding the time it takes the loan to earn an interest of $299

$299 = \frac{1300 * 7 * T}{100} \\299 = \frac{9100T}{100}$

We cross-multiply:

$299 * 100 = 9100T\\29900 = 9100T$

Divide both side by the coefficient of T (9100)

$\frac{29900}{9100} = \frac{9100T}{9100}\\T = 3.29$

Therefore, the time taken for the loan to earn such interest is approximately 3.29 years

4 0

4 years ago

How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation

Tom [10]

Square root of 64 is 8. 8x8=64
cube root of 64 is 4. 4x4x4=64

4 0

4 years ago

The average birth weight of elephants is 230 pounds. Assume that the distribution of birth weights is Normal with a standard dev

zubka84 [21]

Answer:

294.1 pounds

Step-by-step explanation:

Step 1

We find the z score for 90th percentile

= 1.282

Step 2

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score ??

μ is the population mean = 230 pounds

σ is the population standard deviation= 50 pounds

1.282 = x - 230/50

Cross Multiply

1.282 × 50 = x - 230

64.1 = x - 230

x = 230 + 64.1

x = 294.1 pounds

The birth weight of elephants at the 90th percentile is 294.1 pounds.

4 0

3 years ago

And distance of the last ramp is ______ feet (round to the nearest foot)

dedylja [7]

Answer:

The distance of the last ramp is 10 feet.

Step-by-step explanation:

From the options and the question, I assume that the height of the ramp is 6 feet. Pythagorean theorem states:

a² + b² = c²

where c is the hypotenuse, and a and b are the legs of the triangle. In this case:

6² + 8² = x²

√100 = x

10 ft = x

4 0

3 years ago