MATHEMATICS COLLEGE

Using division to determine which of the following numbers are factors of 351
2
3
5
7
35

so which are factors and which are not​

Answers

Answer 1
Answer:

Answer:

Factors:

1, 5, 7, 35

Non-Factors:

2, 3

Step-by-step explanation:

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ASAP HW HELP
if you don’t know answer don’t even comment

Answers

Answer:

y = 1/4 x - 1     (y = 0.25 x - 1)

Step-by-step explanation:

x intercept: (4 , 0)

y intercept: (0 , -1)

rise: 1

run: 4

slope: rise/run = 1/4

equation: y = mx + b      m=1/4      b = -1

y = 1/4 x - 1

PLEASE I NEED HELP!!! FIRST ANSWER IS BRANLIEST!!! Apply the distributive property to create an equivalent expression. 6(5x-3)

Answers

Answer:

30x - 18

Step-by-step explanation:

6(5x - 3)

Apply the distributive property.

6(5x) + 6(-3)

30x + - 18

Answer:

30x - 18 is your final answer

Susan decides to take a job as a transcriptionist so that she can work part time from home. To get started, she has to buy a computer, headphones, and some special software. The equipment and software together cost her $1000. The company pays her $0.004 per word, and Susan can type 90 words per minute. How many hours must Susan work to break even, that is, to make enough to cover her $1000 start-up cost? If Susan works 4 hours a day, 3days a week, how much will she earn in a month.

Answers

Answer:

46.3 hours of work to break even.

$1036.8 per month (4 weeks)

Step-by-step explanation:

First let's find how much Susan earns per hour.

She earns $0.004 per word, and she does 90 words per minute, so she will earn per minute:

0.004 * 90 = $0.36

Then, per hour, she will earn:

0.36 * 60 = $21.6

Now, to find how many hours she needs to work to earn $1000, we just need to divide this value by the amount she earns per hour:

1000 / 21.6 = 46.3 hours.

She works 4 hours a day and 3 days a week, so she works 4*3 = 12 hours a week.

If a month has 4 weeks, she will work 12*4 = 48 hours a month, so she will earn:

48 * 21.6 = $1036.8

Answer:

46.3 hours of work to break even.

$1036.8 per month (4 weeks)

Step-by-step explanation:

Find two consecutive positive integers such that the square of the first decreased by 67 is equal to three times the second

Answers

Answer:

The numbers are 10 and 11.

Step-by-step explanation:

Let x and x+1 be consecutive positive integers.

When the problem says that the square of the first decreased by 67 this means x^2-67 and this is equal to three times the second 3(x+1).

So x^2-67=3(x+1) will be our equation.

Next, we solve the equation:

x^2-67=3x+3\n\nx^2-70=3x\n\nx^2-3x-70=0

Solve by factoring

x^2-3x-70= \left(x^2+7x\right)+\left(-10x-70\right)\n\nx^2-3x-70=x\left(x+7\right)-10\left(x+7\right)\n\nx^2-3x-70=\left(x+7\right)\left(x-10\right)=0

Using the Zero Factor Principle: If ab = 0, then either a = 0 or b = 0, or both a and b are 0.

x+7=0\nx=-7

And

x-10=0\nx=10

Because the numbers need to be positive integers, we only take x = 10 as a valid solution.

The numbers are 10 and 11.

Write an equivalent expression toshow the relationship between
multiplication and addition,
3x5

Answers

I’m not 100% sure what you’re asking for but

5+5+5
3+3+3+3+3
5x3
3x5

Lines v and w are parallel. Which statement can you NOT deduce from this information?m∠2+m∠5=180
m∠3+m∠8=180
∠4-∠7
∠1=∠8

Answers

Based on the rules for vertical angles, ∠1 = ∠4, and ∠5 = ∠8. Based on the rules for corresponding angles, ∠1 = ∠5, so all four of those angles are equivalent.
Similarly, ∠2 = ∠3 = ∠6 = ∠7.
Since ∠2 = ∠6, and ∠5 + ∠6 = 180 degrees, then the first statement is true.
The second statement is also true since ∠3 = ∠7, and ∠7 + ∠8 = 180.
The third statement is false, as it cannot be verified.
The fourth statement is true, as proven in the first part based on vertical and corresponding angles.
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