Translate the sentence into an equation. The product of 8 and a number increased by 4 is 60.a. 8y + 4 = 60
b. 4y + 8 = 56
c. 8 ÷ y + 4 = 56
d. y + 8 + 4 = 56

Answers

Answer 1

Answer: Okay so if they say the product of 8 and a number that means multiplication. If they said the quotient of 8 and a number that would mean dividing. so knowing this your answer would be A because 8y means 8 times y which could be any number and then when you add 4 it has to equal 60. The answer is A.
Hope that helps.

Answer 2

Answer:

Final answer:

The equation for the sentence is 8y + 4 = 60.

Explanation:

The sentence can be translated into the equation 8y + 4 = 60.

Here's why:

The phrase 'the product of 8 and a number' can be represented as 8y, where y is the number.
The phrase 'increased by 4' means adding 4 to the product.
The phrase 'is 60' means the sum is equal to 60, which is represented by the equal sign (=) in the equation.

Therefore, the correct answer is a. 8y + 4 = 60.

Learn more about Translating sentences into equations here:

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I need help! I don’t understand!

Answers

Answer:

Step-by-step explanation:

just coint how much is on each side then multiply it by 3

Adrianne invested $2000 in an account at a 3.5% interest rate compounded annually. She madeno deposits or withdrawals on the account for 4 years. Determine, to the nearest dollar, the
balance in the account after the 4 years.

Answers

With the information given, you can make the expression 2000*3.5%*4, because the interest in a year is 3.5% of 2000 and it goes for four years.

Change 3.5% to 0.035:

2000*0.035*4

Multiply:

70*4

280

To find the total balance, add 2,000 to the amount of interest earned, 280.

2000+280=2280.

Therefore, after the 4 years pass, the account balance is $2280.

Use the law of cosines to find the value of cos. round your answer to two decimal places

Answers

Answer:

A. 0.21

Step-by-step explanation:

We have been given a triangle and we are asked to find the value of cos using law of cosines.

Law of cosines:

$c^2=a^2+b^2-2ab*cos(C)$

Upon substituting our given values in above formula we will get,

$10.9^2=5.8^2+10.5^2-2*5.8*10.5*cos(\theta)$

$118.81=33.64+110.25-121.8*cos(\theta)$

$118.81=143.89-121.8*cos(\theta)$

$118.81-143.89=143.89-143.89-121.8*cos(\theta)$

$-25.08=-121.8*cos(\theta)$

$(-25.08)/(-121.8)=(-121.8*cos(\theta))/(-121.8)$

$0.2059113300492611=cos(\theta)$

Upon rounding our answer to nearest hundredth we will get,

$cos(\theta)\approx 0.21$

Therefore, the value of $cos(\theta)$ is 0.21 and option A is the correct choice.

The law of cosine says that

$10.9^2=5.8^2+10.5^2-2*10.5*5.8\cos\theta\implies\cos\theta\approx0.205911\approx0.21$

Simplify
2x2(4x3 - 3x2 + 6x).

Answers

Answer:

The simplified form of the provided expression is $8x^(5) - 6x^(4) + 12x^(3)$

Step-by-step explanation:

Consider the provided expression.

$2x^2(4x^3 - 3x^2 + 6x)$

Use the distributive property:

$a(b+c)=ab+ac$

By using the above property we can simplify it as shown:

$2x^2(4x^3 - 3x^2 + 6x)$

$8x^((2+3)) - 6x^((2+2)) + 12x^((2+1))$

$8x^(5) - 6x^(4) + 12x^(3)$

Thus, the simplified form of the provided expression is $8x^(5) - 6x^(4) + 12x^(3)$

its hard to show you the steps just gotta payin attention to your teacher
anyway i tried my best to show you the steps
tbh if you needed explanation you should more points

Ryan has an eight-year loan for $6,000. He is being charged an interest rate of 5 percent, compounded annually. Calculate the total amount that he will pay.

Answers

Given:
Principal : $6,000
Interest Rate: 5%
Term : 8 years, compounded annually.

The term compounded annually is a hint that informs us to use the compounded interest formula instead of the simple interest formula.

Compounded interest formula is:

A = P(1 + r/n)^nt

where:
A = future value of loan or investment including the interest
P = principal
r = rate
n = the number of times the interest is compounded per year
t = the number of years the money is borrowed or invested

A = P (1 + r/n)^nt
A = 6,000 (1 + 0.05/1)¹ * ⁸
A = 6,000 (1.05)⁸
A = 6,000 (1.48)
A = 8,880

The total amount Ryan will pay after 8 years is $8,880.00

A painter charges $35 per hour for labor plus $40 for a ladder rental when he paints a house. the customer provides the paint. the total charge to paint a customer's house was $950.how many hours did the painter spend painting this house?

Answers

Answer:

The painter spent 26 hours painting the house.

Step-by-step explanation:

If the painter charged $ 950 for painting a house, and he charges $ 35 per hour plus $ 40 for the ladder rental, in order to determine how many hours of work it took to paint the house, we must make the following calculation:

950 (total charge) - 40 (ladder rental) = Total work charge

910 (total charge per work) / 35 (charge per hour) = Total hours of work

910 / 35 = 26

It took 26 hours to the painter for painting the entire house.

the painter worked for 26 hours because 26*35=910+40 =950

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