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Answer:

y = 5x

Step-by-step explanation:

Use the direct variation equation y = kx

Plug in 30 as y and 6 as x, then solve for k

y = kx

30 = k(6)

5 = k

Plug in 5 as k into y = kx

y = 5x

So, the equation relating x and y is y = 5x

Answer:

y=5x

Step-by-step explanation:

30 divide by 6 = 5 so y = 5x

Answer:

$100,700

Step-by-step explanation:

Given data

Principal= $38,000

rate= 8.25%

Time= 20 years

Applying the simple interest

A=P(1+rt)

substitute

A=38000(1+0.0825*20)

A=38000(1+1.65)

A=38000*(2.65)

A=$100,700

Hence in 20 years she will pay $100,700

Answer:

4 1/12. (Four, one by twelve).

Step-by-step explanation:

7/12 × 7 =?

7/12×7 = 49/12.

The answer is now in improper fraction. When we convert it to mixed fraction we get the answer as 4 1/12. (Four, one by twelve).

The probability that Philip answers exactly one question correctly in the last 4 questions is 0.4096.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur

It should be noted that this relates to a binomial probability. This is Illustrated as:

n! / x! (n - x)!

n = number if questions = 4

The probability will be:

P(x = 1) = (0.2)¹ × 0.8³.

= 0.4096

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Answer:

1130 non fiction

Step-by-step explanation:

F=fiction

NF=non fiction

F-678=NF

5F=8NF

so NF=5/8F

substitute:

F-678=5/8F

reduce:

3/8F=678

F=1808

NF=1130

There are 1130 non fiction books in the library.

Given that,

According to the scenario, calculation of data are as follows,

[tex]\frac{F}{NF} = \frac{8}{5}[/tex]

or 5F = 8NF

Now, NF = F-678

By putting the value, we get

5F = 8 ( F - 678)

5F = 8F - 5424

3F = 5424

F = 1808

So, By putting in 1st eq. we get,

5 [tex]\times[/tex] 1808 = 8NF

NF = 9040 [tex]\div[/tex] 8

NF = 1130

Non fiction books = 1130 books.

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Answer:

Step-by-step explanation:

9/10 is equal to 18/20

3/4 is equal to 15/20

3/5 is equal to 12/20

9/20 is equal to 9/20

The next answer is 6/20 which is equivalent to 3/10

Answer:

Mrs.Santos is 29.5 and Morgan is 14.5

Step-by-step explanation:

x - 15 + x = 44 where x is Mrs.Santos age

2x - 15 = 44

2x = 59

x = 59/2 = 29.5

Answer:

a. 33 sqft

Step-by-step explanation:

The figure is made of two non-overlapping triangles, so the total area is the sum of the areas of the two triangles

Area of a triangle is 1/2(bh) where b = base length and h = height (b and h must be perpendicular to each other)

The top triangle has b = 6 and h=8, so A=1/2(6)(8) = 1/2(48) = 24

The bottom triangle has b=6 and h=3, so A=1/2(6)(3)=1/2(18) = 9

Total area is sum of these two or 24 + 9 = 33

Step-by-step explanation:

[tex]4 + 3(5 + x)\\4 + (3 * 5 ) + (3 * x)\\4 + 15 + 3x[/tex]

Answer:

3x+19

Step-by-step explanation:

Let's simplify step-by-step.

4+3(5+x)

Distribute:

=4+(3)(5)+(3)(x)

=4+15+3x

Combine Like Terms:

=4+15+3x

=(3x)+(4+15)

=3x+19

Answer:

10x+276

Step-by-step explanation:

Use the equation (12)(5/6x+23)=area

Use the distributive property as seen in the image below.

Solve

Now simplify

Answer:

[tex]x =-4y+32[/tex]

Step-by-step explanation:

Calculations:

[tex]y=-\frac{1}{4} x+8[/tex]

[tex]y-8=-\frac{1}{4}x[/tex]

[tex]x =-4y+32[/tex]

Answer:

C is the answer

Step-by-step explanation:

Answer:

C. Quadrant IV = (8,-6)

Step-by-step explanation:

Q I = + +

Q II = - +

Q III = - -

Q IV = + -

(-8, 6) = II

(-8, -6) = III

(8, -6) = IV

(8, 6) = I

Quadrant IV = (8,-6)

Answer:

64

Step-by-step explanation:

Angle 1 and Angle 8 are alternate exterior angles since line x and line y are parallell and a transversal Z passes through it. Since they are alternate exterior angles they are congruent so 8 is 64

Answer:

88

Step-by-step explanation:

Answer:

x=26

Step-by-step explanation:

4x-8+34+76-x=180

4x-x-8+34+76=180

3x+102=180

3x=180-102

3x=78

x=78/3

x=26

Answer:

733.05

Step-by-step explanation:

Answer:

54 is the answer

Step-by-step explanation:

18 times 3

Answer: 54 pages per hour.

Step-by-step explanation:

If Bryce can read 18 pages in 1/3 of an hour, then we need to multiply 18 by 3 to find how many pages Bryce can read in 1 hour.

18 x 3 = 54.

In conclusion, Bryce can read 54 pages per hour.

Answer: {x,y} = {4,2}

  [1]    x - 4y = -4

  [2]    5x - 4y = 12// Solve equation [1] for the variable  x

 [1]    x = 4y - 4

// Plug this in for variable  x  in equation [2]

  [2]    5•(4y-4) - 4y = 12

  [2]    16y = 32

// Solve equation [2] for the variable  y

  [2]    16y = 32

  [2]    y = 2

// By now we know this much :

   x = 4y-4

   y = 2

// Use the  y  value to solve for  x

   x = 4(2)-4 = 4

Step-by-step explanation:

Answer: x=4 y=2

Step-by-step explanation:

Answer:

Mason saved $312.00.

Step-by-step explanation:

This is because, if you multiply the original price by 30%/100 or $1040 x 0.3 you get $312.00. So basically, multiply the original price by the discount number over 100 you get your answer.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The original price of the computer is 1040.

The amount saved by Mason using the coupon is 312.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Coupon = 30% off

Cost of the computer after the coupon = 728

This means that the cost of the computer is only 70% since 30% is off.

70% = 728

We know that the original price is 100%.

So,

70% = 728

Multiply 100/70 on both sides.

100/70 x 70% = 100/70 x 728

100% = 1040

The original price of the computer is 1040

The amount saved is:

= 1040 - 728

= 312

Thus,

The original price of the computer is 1040.

The amount saved by Mason using the coupon is 312.

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Answer:

x=16

Step-by-step explanation:

9+3x+7=4x

9+7=x

x = 16

Answer:

x=16 is the answer to this question

Answer:

A

Step-by-step explanation:

2(-5) - 10 > 13

-10 - 10 > 13

-20 is not greater than 13.

Answer:

A

Step-by-step explanation:

[tex](fg)(x) = f(x)\cdot g(x) \\~\\(fg)(x) = \left(4x^2 +x^4\right)\cdot\sqrt{x^2+4} \\~\\(fg)(x) = \left(4x^2 +x^4\right)\cdot\left(x^2+4\right)^{\frac{1}{2}}[/tex]

a)

Answer: 25.88

Step-by-step explanation:

As a fraction it is 22/25 pls mark brainliest

Answer:

Step-by-step explanation:https://brainly.com/question/21290288

Answer:

6 9/14

Step-by-step explanation:

Well, we know that 9/14 is bigger than 1/2, so that means that 6 9/14 will be rounded to 7. If it is over 1/2, you round up, if 1/2 less, than it stays the same.

Answer:

15y

Step-by-step explanation:

If you add 3 and 12 together you get 15 and when you get 15 you add in the y

Answer:

Y= - 4/3x + 4

Hope this helps :))

Answer:

here you can see that this angles formed is alternate interior angles because you can see SZ shape the angle formation in here angle relation is 100% sure it is alternate interior angles don't confuse with alternate exterior it is alternate interior angles

Answer:

option B

[tex]aleternate \: exterior[/tex]

Step-by-step explanation:

[tex]hope \: it \: helps \: you[/tex]

Answer:

[tex] - 16x + 20[/tex]

Step-by-step explanation:

1. Expand by distributing terms.

[tex]10 - (16x - 10)[/tex]

2. Remove parentheses.

[tex]10 - 16x + 10[/tex]

3. collect like terms.

[tex] - 16x + (10 + 10)[/tex]

4. Simplify.

[tex] - 16x + 20[/tex]

Therefore, the answer is, -16x + 20.