Solve by factoring
x^2-x-46=3x-1

Answer:

1/16

Step-by-step explanation:

Given the expression;

[tex]x^2+\dfrac{1}{2}x[/tex]

To find a constant that will make it a perfect square, we will use the square if the half of coefficient of x

Coefficient of x = 1/2

half of Coefficient of x = 1/2*(1/2)

Half of Coefficient of x = 1/4

square of the half of coefficient of x = (1/4)^2

square if the half of coefficient of x = 1/16

hence the constant that will make it a perfect square is 1/16

Answer:

x=8/3

Step-by-step explanation:

x+2x+17=25

3x+17=25

3x=8

x=8/3

Answer:

X = [tex]\frac{8}{3\\}[/tex]

Step-by-step explanation:

a) You can afford a loan of approximately $96,927.88.

b) You will pay a total of $288,000 to the loan company.

c) Approximately $191,072.12 of that money is interest.

To determine how big of a loan you can afford, we can use the formula for the monthly mortgage payment:

M = P * (r(1+r)^n) / ((1+r)^n - 1)

Where M is the monthly mortgage payment, P is the loan principal, r is the monthly interest rate (annual interest rate divided by 12), and n is the total number of payments (number of years multiplied by 12).

a) First, we need to calculate the monthly interest rate and the total number of payments:

Monthly interest rate = 7% / 12 = 0.07 / 12 = 0.00583

Total number of payments = 30 years * 12 months/year = 360

Now we can plug in the values into the formula:

800 = P * (0.00583 * (1+0.00583)^360) / ((1+0.00583)^360 - 1)

To solve for P, we can rearrange the equation:

P = 800 * ((1+0.00583)^360 - 1) / (0.00583 * (1+0.00583)^360)

Using a calculator, we find that P is approximately $96,927.88.

b) To calculate the total money paid to the loan company, we multiply the monthly payment by the total number of payments:

Total money paid = $800 * 360 = $288,000

c) To determine how much of that money is interest, we subtract the loan principal from the total money paid:

Interest = Total money paid - Loan principal

Interest = $288,000 - $96,927.88

Interest = $191,072.12

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Answer:

number 4 and 6

Step-by-step explanation:

Answer:

773 mg

Step-by-step explanation:

1 gram = 1000 mg so the difference is:

1000 - 227

= 773 mg.

Answer:

C

Step-by-step explanation:

Answer:

2563 (square root)in^2

Step-by-step explanation:

i took the test

To find the value of x in a triangle, you need to subtract the sum of the two angles from 180 degrees. Know that the sum of all the angles of a triangle will always equals 180 degrees. Then write down the difference of subtracting the sum of the two angles from 180 degrees and that would equal the value of x.

I hope this helped in some way, if it didn't, im so sorry.

Answer:

Step-by-step explanation:

The Pythagorean theorem is that (for right triangles)

a^2+b^2=c

Meaning c is the side opposite the right angle

Hope this helps!

Answer:

$5.10

Step-by-step explanation:

Ratios:

[tex]\frac{6}{1.8} =\frac{17}{x} \\\\6x=30.6\\x=5.1[/tex]

Answer:

A, C

Step-by-step explanation:

Answer:

a. first box: 75%

second box: 21

b. 7 (u have already wrote)

c. 21+7=28

The fraction of Anitra's hair ribbons is red is 1/2.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Anitra has 12 hair ribbons.

One fourth of the ribbons are pink.

So, number of pink ribbons = 1/4 ×12

= 3

Three are purple, and the rest are red.

So, number of red ribbons

= 12-3-3

= 6

Now, fraction = 6/12 = 1/2

Therefore, the fraction of Anitra's hair ribbons is red is 1/2.

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94%

47/50 × 100 = 47 ×2 = 94 %

Answer:

94%

Step-by-step explanation:

Basically you need to divide the numerator (47) by the denominator(50). Then after you do that you will find yourself with a decimal of 0.94. lastly multiply your decimal by 100 to get your final answer, which is 94%.

Answer:

y = C/8 + 2

Step-by-step explanation:

C = 8(y - 2)

C = 8y - 16

8y = C + 16

y = C/8 + 2

Answer:

24mn + 72mp - 120m

Step-by-step explanation:

Multiplying as indicated, we get 24mn + 72mp - 120m

Answer:

[tex]24mn + 72mp - 120m[/tex]

Step-by-step explanation:

[tex]12m(2n + 6p - 10)[/tex]

[tex]12m(2n)12m(6p)12m(-10)[/tex]

[tex]12 \times 2mn + 12 \times 6mp - 120m[/tex]

[tex]24mn + 72mp - 120m[/tex]

Answer:

21:9

28:12

35:15

Step-by-step explanation:

Multiply both numbers by the same numbers (I chose 3,4, and 5)

Answer:

14:6 - 21:9 - and 28:12

Step-by-step explanation:

just multiple the original ratio by 3 so when you reduce, they'll equal to 7:3

Answer: C. 64 ft

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

if you divide 2 by 25, you would get 0.08, which is equal to 8%

Answer:

8%

Step-by-step explanation:

Answer: C. ($720)

Step-by-step explanation: 4% of 3,000 is 120. multiply that my 6 years and you get 720

Answer:

A)24 in^3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2x2=4

4x6=24

Answer:

r = C/2π

Step-by-step explanation:

You just rearrange the Circumference formula so you can find r.

Circumference formula:

C = 2πr

To find r, you multiply 1/2π on both sides of the equation so you can isolate r:

r = C/2π

Answer:

153 units²

Step-by-step explanation:

Area of a Parallelogram: L x W (same as a rectangle)

L x W = A

17 x 9 = A

A = 153

Answer:

-1

Step-by-step explanation:

Answer:

12=0.5d-g or g=0.5d-12

Step-by-step explanation:

12 gallons

1/2 gallon a day

g gas

d days

g=0.5(5)-12

2.5-12

9.5 gallons after 5 days