Graph the following line. y=3/2x -5

If m< EBC = 3y+10 and m< ABE = 2y-20, the value of m< EBF is 56 degrees

The questions says that If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.

We have to solve this using the rule of supplementary angles that says that

m<EBC + m<ABE = 180 degrees

This would be written as

3y+10 + 2y-20 = 180

collect like terms

3y + 2y + 10 - 20 = 180

5y - 10 = 180

5y = 180 + 10

5y = 190

then y = 190/5

y = 38 degrees

We have to put the value of y in 2y-20

= 2 * 38 - 20

= 76 - 20

= 56

Given that

m< ABE =  m< EBF

Then the value of  m< EBF = 56

12. we have < EBF = < ABE - < ABF

then 2b - (7b - 24)

when we open the bracket

< EBF = -5b + 24

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Answer:he can buy four donuts

Step-by-step explanation:

He bought two cookies which is .50 cents

Subtract .50 cent from the total amount which is $5

Divide that by 1.25

I got 4

Answer:

Linda

Step-by-step explanation:

Answer:

Step-by-step explanation:

Isolate any variable, x or y, but since y has already been isolated, use y to solve for x.

Substitute y into the first equation -3x-3y=3

This equals -3x - 3 (-5x - 17) = 3

Distribute to get -3x + 15x + 51  = 3

Then bring like terms together. -3x + 15x = 3 - 51

12x = -48

Solve for x

x = -4

Substitute -4 for x in the equation: y = -5x - 17

y = − 5x − 17

y = (−5) (−4) − 17

y = 20 - 17

y = 3 ( Simplify both sides of the equation)

Answer:

x = − 4 and y = 3

Answer:

2 feet per year

Step-by-step explanation:

I think you meant 38 1/2

and 5 1/2

but if you didn't then its

2.1484375

because

4912-3812=1100

1100÷512= 2.1484375

The domain of the inverse function in inequality is written as x ≥ √3 -4.

What is domain and range ?

The is the set of possible input values, and the range is the set of all possible output values of the graph.

Here, the given function is :

f(x) = √(2x +3) - 4

and it is already found that its inverse is :

f⁻¹(x) = {(x+4)² - 3}/ -2

Therefore, to find the domain of this inverse function we equate the numerator to greater then equals to zero that is :

(x+4)² - 3 ≥ 0

(x+4)² ≥ 3

(x+4) ≥ √3

x ≥ √3 -4

Therefore, the domain of the inverse function in inequality is written as x ≥ √3 -4.

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Answer:

4) x = - 12

5) x = 4

Step-by-step explanation:

4)

Since points T and S are mid points of sides ML and MN of triangle MLN.

Therefore, by mid point theorem,

TS is half of LN

so,

[tex]x + 26 = \frac{1}{2} (x + 40) \\ \\ 2(x + 26) =x + 40 \\ \\ 2x + 52 = x + 40 \\ \\ 2x - x = 40 - 52 \\ \\ x = - 12[/tex]

5) In the same way x = 4 will be the correct answer in question number 5.

Please check the attached image for the answer. Hope this helps :)

Answer: 20

Step-by-step explanation:

Answer:

5x^2-25x+2x-10

5x^2-23x-10

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer:

5x2 -35 +2x

Step-by-step explanation:

(5x+2)(x-5)

5x(x-5) +2(x-5)

5x2- 25 +2x -10

5x2 - 25 -10 +2x

5x2 -35 +2x

Answer:

36

Step-by-step explanation:

x is the number

(x-11)(-5) = -125

x - 11 = 25

x = 25 + 11

x= 36

Answer: C.-1.5

Step-by-step explanation:

Given: The burning time of a very large candle is normally distributed with mean[tex](\mu)[/tex] of 2500 hours and standard deviation[tex](\sigma)[/tex] of 20 hours.

Let X be a random variable that represent the burning time of a very large candle.

Formula: [tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

For X = 2470

[tex]Z=\dfrac{2470-2500}{20}\\\\\Rightarrow\ Z=\dfrac{-30}{20}\\\\\Rightarrow\ Z=\dfrac{-3}{2}\\\\\Rightarrow\ Z=-1.5[/tex]

So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5

Hence, the correct option is C.-1.5.

From the option given, we can see that the equation that represents a line that is parallel to the line 7y - 4x = -49 is y=4/7x+7. Option D

The standard equation of a line is expressed as y = mx + b where

Given the equation of a line expressed as 7y - 4x = -49

Make y the subject of the formula:

[tex]7y - 4x = -49\\7y=4x-49\\y=\frac{4}{7}x-\frac{49}{7}\\y= \frac{4}{7}x-7[/tex]

Hence the slope of the given line is 4/7

The equation parallel to this line will also have a slope of 4/6. Hence the correct option will be the equation with a slope of 4/7

From the option given, we can see that the equation that represents a line that is parallel to the line 7y - 4x = -49 is y=4/7x+7

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Answer:

380000000000000000000

Step-by-step explanation:

The result of the following questions are

[tex](x)(x^{7})(7x^{3})=7x^{11} \\(15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3})=3x^{9}y^{5}\\\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}c^{4}d^{7}[/tex]

Given,

We have to solve the questions using exponent rules

Part 1

[tex](x)(x^{7})(7x^{3})=7x^{1+7+3}\\=7x^{11}[/tex]

Part 2

[tex](15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3} )=\frac{15}{5} (x^{6+3}y^{2+3})\\ =3(x^{9}y^{5})[/tex]

Part 3

[tex]\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}{c^{2--2}d^{3--4}\\=\frac{2}{3}c^{4}d^{7}[/tex]

Hence, the result of the following questions are

[tex](x)(x^{7})(7x^{3})=7x^{11} \\(15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3})=3x^{9}y^{5}\\\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}c^{4}d^{7}[/tex]

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Answer:

$79.20

Step-by-step explanation:

0.99 x 80 = 79.2

Hope this helps. (:

Stratified random sample would be the sampling design for the best information.

• In statistics, stratified sampling is an method of sampling from a population which can be divided into subpopulations. In surveys based on statistics, when subpopulation within an overall population var, it could be advantageous to sample each population separately.

• For example one may divide a sample of children into subgroups by age like 1-5,6-10,11-15 and above.

• The benefits of stratified sampling is that you can obtain reasonably precise estimate for subgroups related to the research.

• One disadvantage of stratified sampling is that the selection of appropriate strata for a sample of your research may be difficult.

• The effective use of stratified sampling can be Analysing 30% of the items under $30,000.

In this question we use stratified sampling.

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Wha..?

............................................................................................

Answer: y= x-5

Step-by-step explanation:

It already gave you the y-intercept, which is on the y-axis. It is: (0,-5)

So your equation is: y = mx-5

Now you find your slope by using the two points it gives us: (0,-5) and (5,0)

-5 - 0= -5(from the two y- coordinates) and 0 - 5 = -5(from the two x-coordinates)

That is -5 divided by -5 so the answer would be 1

Your equation is: y = 1x-5

But you don't have to put the 1 because the x itself counts as 1

Answer:

C

Step-by-step explanation:

Here, we want to know if the table represents a proportional relationship

Looking at the table, if we multiply the x-terms by -4, we get the y-terms

So the answer here is that Yes, because all the ratios of y to x are equal to -4

Answer:

11over32

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

The inequality that models the scenario is the first one:

$24 + $2*n ≤ $37

Solving that we conclude that Eli can buy at most 6 notebooks.

We know that Eli wants to buy a calculator that costs $24 and some notebooks, such that each notebook costs $2.

Then If Eli buys the calculator and n notebooks the total cost will be:

$24 + $2*n

We know that Eli has a total of $37 to spend, so that is the maximum amount he can spend. Thus, we can write the inequality:

$24 + $2*n ≤ $37

So the correct option is the first one.

Now also let's solve the inequality for n.

$24 + $2*n ≤ $37

$2*n  ≤ $37 - $24

$2*n ≤ $13.

n ≤ $13/$2

n ≤ 6.5

So Eli can buy at most 6 notebooks.

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Answer:

The sum of the two numbers is 12.5

Step-by-step explanation:

First we write a system of equations.

One number is 4 times larger than the other.

y = 4x

The sum of their reciprocals is 1/2

1/x + 1/y = 1/2

Substitute

1/x + 1/4x = 1/2

1 + 1/4 = 1/2x

x = 2.5

Solve for other number

y = 4(2.5)

y = 10

The inverse of x is 2/5 or 4/10, and the inverse of y is 1/10. When added the sum is 5/10 or 1/2.

Answer:

10*10*10*10*10*10*10*10*10*10

Answer: 10^10

Step-by-step explanation:

Answer:

[tex](\frac{-1}{2},1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

A (-3, -5)

B (2, 7)

Step 2: Find midpoint

Answer:

700, 225, 25, -25

Step-by-step explanation:

In the question given, we have to fill the blanks in the situations to describe an opposite quantities which combines to make zero.

1. Nick returned home descending 700 feet later at the day because he climbed a hill that was 700 feet high.

2. Jack deposited an amount of $225 in his account but later that week, he bought a new TV by withdrawing the amount of $225 from his account.

3. Janine dove into the sea to look at the coral reefs to a depth of 25 feet, and then she swam back to the sea surface by swimming 25 feet upwards.

4. The final temperature at the end of the day was -25 degrees, as the morning temperature was -25 degrees and then at daytime, it rose for 5 degrees and then again dropped by 5 degrees.

Answer:

Step-by-step explanation:

H

Answer:

The slope is 7

Step-by-step explanation:

y = mx + b

m is the slope and as we can see in the equation, 7 is there instead of m, therefore 7 is the slope