34. G and H are complementary angles.
If the measure of G = (6x-15)° and the measure of H = (3x + 6), find the measure of H.

James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =

The value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is

x = - 12.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given is the following equation -

3(x − 5) = 5x − (3 − x)

The given equation is -

3x - 15 = 5x - 3 + x

Simplifying for (x), we get -

3x - x - 5x = - 3 + 15

- x = 12

x = -12

Therefore, the value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is x = - 12.

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Answer: 270

Step-by-step explanation: First, you want to multiply the -3 and the 18. That makes -54. Then, you multiply that answer (-54) by -5, which is 270.

Hope this helps!

Follow the order of PEMDAS of operations:

Multiply and divide (from left to right).

Apply the rule: (-a)*(b) = -a*b

(-3)(18) = -13 * 18 = -54

-54(-5) = 54 * 5 = 270

The answer is 270✅ .

Answer:

3y

Step-by-step explanation:

Divide the numbers and then divide the variables.

21/7 = 3

y²/y = y

Therefore,

21y²/7y = 3y

The unit rate represented in the equation y = 3/5x is the value multiplying x, that is, the unit rate is 3/5.

In order to find the unit rate of each table, we just need to divide the y-values by the x-values.

So, the unit rate of the first table is:

The value 4/3 is greater than the value 3/5.

In the second table we have that:

The value 4/5 is greater than the value 3/5;

In the third table, we have that:

In order to compare this fraction with 3/5, we need to make them be in the same denominator, so we have to calculate the least common multiple of the denominators.

Since 5 and 31 are prime numbers, the LCM is the product of both numbers.

So we have that:

The number 90/155 is lesser than 93/155, therefore 18/31 is lesser than 3/5, so the answer is the third table.

The  percent error of Ming’s estimate is 28.571%

Ming estimated that there would be 21 members in his bicycle club by the end of summer

There were actually 15 members at the end of summer

error = 21 - 15 = 6

error percent = error / total x 100

=100( 6 / 21)

= 28.571

Therefore, if Ming estimated that there would be 21 members in his bicycle club by the end of summer. There were actually 15 members at the end of summer the the percent error of Ming’s estimate is 28.571%

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Answer:

slope = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (5, 1 )

m = [tex]\frac{1-2}{5-1}[/tex] = [tex]\frac{-1}{4}[/tex] = - [tex]\frac{1}{4}[/tex]

The simplification of the given expression 36-(12/2)2 will be 24.

Simplification involves proceeding with the pending operations in the expression. for ex; 6 + 2 is an expression whose simplified form can be obtained by doing the pending addition, that results in 8 as its simplified form. Simplification, involves making the expression simple and easy to use later.

We have been given an expression as;

36-(12/2)2

To simplify the above;

36-(12/2)2

36 - (6)2

Now multiply 6 by 2,

36 - 12

= 24

Therefore, the simplification of the given expression 36-(12/2)2 will be 24.

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Answer:

The answer is 24.

Step-by-step explanation:

(12/2)=6

36-(6)2

=36-12

=24

Answer:

-1

Step-by-step explanation:

replace x with -1

20>4(-1)+16

20>-4+16

20>12

Answer: No Solution

Step-by-step explanation: Simply use the formula. Which then you get no solution

Answer: -0.85

Step-by-step explanation:

3/10 + 1/5 = 1/2

1/2 x -4.25 = -0.85

1. The θ lies in the 1st and 2nd quadrants of the graph.

2. The θ lies in the 2nd and 3rd quadrants of the graph.

3. The θ lies in the 1st and 3rd quadrants of the graph.

4. The θ lies in the 2nd and 3rd quadrants of the graph.

5. The θ lies in the 1st and 2nd quadrants of the graph.

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Answer:

(0, 6)

Step-by-step explanation:

The point (0, 6) is on the y-axis, so after a reflection over the y-axis, it is still (0, 6).

Answer:

36

Explanation:

Given the ratio:

Let the number = x

Then:

Next, solve for x:

Thus, the number that makes the ratio equivalent to 3:5 is 36.

Answer:

$88.

Step-by-step explanation:

$44 dollar for 4 balls.

That means for one ball it is $11.

44 ÷ 4 = 11.

Therefore:

8 x 11 = 88.

The answer is $88.

Hope this helps!

Answer:

55.4 °F

Step-by-step explanation:

To find the difference, subtract the 2 values.

38.2-(-17.2)

2 minus signs equal a plus sign, so:

38.2+17.2 = 55.4

Answer:

[tex]4.2 / 0.35 =\frac{4.2}{0.35} *\frac{100}{100}= \frac{420}{35} = 420/35[/tex]

Step-by-step explanation:

By multiplying both the numerator and the denominator of the fraction 4.2/0.35, the resulting equivalent fraction is 420/35.

The relationship between the price of the cap and the number of units in demand is d = 869 - 19p

Substitution: A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.

The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.

Price of Cap, p(in dollars)     Number of Units in Demand, d

23                                              432

27                                              356

30                                             299

35                                             204

the relationship between the price of the cap and the number of units in demand

lets substitute the values in the given options ( lets use 1st result p=23 and d=432)

A.

d = 850 - 19p

432=850-19(23)

432=850-437

432≠413

B.

d = 285 - 869p

432=285-869(23)

432=285-19,987

432≠19,702

C.

d = 869 - 19p

432=869-19(23)

432=869-437

432=432

option C is correct

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A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.

The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.

The relationship between the price of the cap and the number of units in demand

lets substitute the values in the given options ( lets use 1st result p=23 and d=432)

A.   d = 850 - 19p

432=850-19(23)

432=850-437

432≠413

B.   d = 285 - 869p

432=285-869(23)

432=285-19,987

432≠19,702

C.   d = 869 - 19p

432=869-19(23)

432=869-437

432=432

The solution for 27≤−2x+7 is x ≤−10 and −13>−2x+7 is x≥10.

What is the solution?

Given equations:  27≤−2x+7, −13>−2x+7

Solving each equation,

27≤−2x+7

−2x≥27−7

−2x≥20

x≤ (20/−2)

x≤−10

−13>−2x+7

−2x≤−13−7

−2x≤−20

x≥ (-20/-2)

x≥10

The solution for 27≤−2x+7 is x ≤−10 and −13>−2x+7 is x≥10.

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Answer:

719

– ___

6

Step-by-step explanation:

= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 85 × 54 - 0 - 059

= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 4590 - 0 - 059

= 1/6 + 4529 - 4590 - 059

= 1/6 + (-120)

= 719

— ___

6

martina has used a random sampling procedure that would be classified as a convenience sample .we can conclude that Martina's margin of error is 1.5.

Given: Average graduate student (upper limit) = 33

Random sample graduate student (lower limit) = 30

Formula to calculate margin of error is as follows.

Margin of error = upper limit - lower limit /2

Substitute the values into above formula as follows.

= 33-30/2

=1.5

Thus ,we can conclude that Martina's margin of error is 1.5.

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Answer:46656

4634234

Step-by-step explanation:5

y5

Answer:

6.78

I hope this helps.

Step-by-step explanation:

Answer: -10 + 34u

Step-by-step explanation:

2 x (10u + 3) + 2 x (7u -8)

20u + 6 + 14u - 16

34u - 10

Answer: -10 + 34u

Step-by-step explanation:

1) Set up the equation

A = 2B + 2H

2) Substitute the variables

A = 2(10u+3) + 2(7u-8)

3) Solve the equation

A = 20u + 6 + 14u - 16

4) Simplfy

A = 34u - 10

A = -10 + 34u

The required simplified value of the given expression is given as 257 / 16. None of the options is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression is,

= 2(x + 4) - (y - 8)
According to the question put,
x = 1 / 8 and y = 3 / 16
= 2 (1/8 + 4) - (3/16 - 8)
= 2 (33/8) - (-125 / 16)
= 33 / 4 + 125 / 16
= 132 + 125 / 16
= 257 / 16

Thus, the required simplified value of the given expression is given as 257 / 16.

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The world record for most selfies taken by a person in one hour is calculated to be 1449.

The world record for the most selfies taken by one person in one hour can be determined by using an algebraic expression.

As 4296 is 51 fewer than three times the World record for the most selfies taken by one person in one hour, we can consider x to be the world record by which we get an algebraic expression as follows;

3x - 51 = 4296

Solving for x;

3x = 4296 + 51

3x = 4347

x = 4347 / 3

x = 1449

Therefore, 1449 is calculated to be the world record for most selfies by one person in one hour.

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Let's expand the rational number with the conjugate of the expression in the denominator.

Answer:

Step-by-step explanation:

root of 9 is 3

root of 8 is 2.8

the equation =-2.5

The money earned by Tom in accordance with his rate is $

In mathematics, comparing two related quantities stated in different units is known as a rate.

The rate at which he earns is $15 per hour.

He earns over time at 1 1/3 times his wage

Overtime rate = 4 / 3 × 15 = $20

He worked for 11 hours.

Total money earned = 7 hours at rate $15 per hour and 4 hours at rate $20 per hour.

Money earned = 7 × 15 + 20 × 4 = $185

Hence the money earned at that rate is $185.

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