adding fractions with unlike denominators
​

Answer:

B

Step-by-step explanation:

edge 2020

Answer: option B

Step-by-step explanation:

edge 2023

Answer:

Explanation:

The statement is expressed as

y

∝

1

x

inverse means

1

variable

To convert to an equation introduce k, the constant of variation.

y

=

k

×

1

x

⇒

y

=

k

x

To find k use the given condition that y = 8 when x = 4

8

=

k

4

⇒

k

=

4

×

8

=

32

⇒

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

32

x

2

2

∣

∣

∣

−−−−−−−−−−−−

x

=

16

→

y

=

32

16

⇒

y

=

2

when

x

=

16

Answer:

Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.

Step-by-step explanation:

BRAINLIEST MAYBE???

First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.

Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.

For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.

Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.

Answer:

1= 51

2= 18

3= 123

4= 39

Step-by-step explanation:

First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.

Answer:

54

Step-by-step explanation:

54

Answer:

If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.

Step-by-step explanation:

That's how you can prove which side is bigger

Answer:

(2x - 4)(2x + 7) = 4x^2 +14x - 8x -28

= 4x^2 + 6x -28

(x)(x+3) = x^2 + 3x

(4x^2 + 6x - 28) - ( x^2 + 3x ) = 3x^2 + 3x -28

Answer:

A. (-5, 0) and (1, -3)

B. Slope (m) = -½

C. y + 3 = -½(x - 1)

D. y = -½x - ⁵/2

E. ½x + y = ⁵/2

Step-by-step explanation:

A. Two points on the line from the graph are: (-5, 0) and (1, -3)

B. The slope can be calculated using two points,(-5, 0) and (1, -3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{1 -(-5)} = \frac{-3}{6} = -\frac{1}{2} [/tex]

Slope (m) = -½

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, -3), and m = -½ into the point-slope equation, y - b = m(x - a).

Thus:

y - (-3) = -½(x - 1)

y + 3 = -½(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y + 3 = -½(x - 1)

2(y + 3) = -1(x - 1)

2y + 6 = -x + 1

2y = -x + 1 - 6

2y = -x - 5

y = -x/2 - ⁵/2

y = -½x - ⁵/2

E. Convert the equation in (D) to standard form:

y = -½x - ⁵/2

½x + y = ⁵/2

Answer:

1001

Step-by-step explanation:

Answer:

$1001

Step-by-step explanation:

$627 -$480 + $854 = 1001$

Answer:

Yes the conclusion in the question  is a reasonable conclusion

Step-by-step explanation:

From the question we are told that

    The sample size is  [tex]n_1 = n_2 = n = 250[/tex]

     The sample mean for USA is  [tex]\= x_1 = 391 \ minutes[/tex]

     The sample mean for Mexico is [tex]\= x_2 = 426 \ minutes[/tex]

     The sample standard deviation for USA is  [tex]s_1 = 25 \ minutes[/tex]

    The sample standard deviation for Mexico is  [tex]s_2 = 49 \ minutes[/tex]

The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

The alternative hypothesis is  [tex]H_a : \mu_1 < \mu_2[/tex]

Generally the test statistics is mathematically represented as

        [tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }[/tex]

=>     [tex]z = \frac{ 391 - 426 }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }[/tex]

=>     [tex]z = -10[/tex]

From the z table  the area under the normal curve to the left corresponding to   -10  is

    [tex]p-value = P(Z < -10 ) = 0.00[/tex]

Generally from the value obtained we see that

  The p-value is  <  [tex]\alpha[/tex]  hence

The decision rule is

Reject the null hypothesis

The conclusion is  

 The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico

Hence the conclusion in the question is a  reasonable conclusion

The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis. This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.

Given :

According to the given data the sample size of the US and Mexico is [tex]\rm n_1=n_2=250[/tex].

The hypothesis are as follows:

Null Hypothesis is [tex]\rm H_0 : \mu_1=\mu_2[/tex]

Alternate Hypothesis is [tex]\rm H_1 : \mu_1<\mu_2[/tex]

Now, the mathematical representation of test statistics is:

[tex]\rm z = \dfrac{\bar{x_1}-\bar{x_2}}{\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}} }[/tex]

[tex]\rm z = \dfrac{391-496}{\sqrt{\dfrac{25^2}{250}+\dfrac{49^2}{250}} }[/tex]

z = -10

According to the z-table:

p - value = p (Z < -10) = 0

The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis.

This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.

For more information, refer to the link given below:

https://brainly.com/question/23044118

Answer:

ok? if the question is how many words does he type in a minute the answer is 72

Step-by-step explanation:

Answer:

72 is right i check

Step-by-step explanation:

he/she comment the same so it was there idea

Answer:

-8n+64

Step-by-step explanation:

Answer:

3+4/3x

Step-by-step explanation:

Answer:

44%

Step-by-step explanation:

.44 x 125 equals 55 n

Answer:

The percentage of people who were children = 44%

Step-by-step explanation:

We need to determine the percentage of the people on the trail who are children.

so

Children percentage = 55 / 125 × 100

                                   = 0.44 × 100

                                   = 44%

Therefore, the percentage of people who were children = 44%

Answer:

Solving the system of equations using elimination method, we get x=2, y=0

The ordered pair is: (2,0)

Step-by-step explanation:

We need to solve the system of equations using elimination method.

[tex]5x-2y = 10\\4x + 2y = 8[/tex]

Let:

[tex]5x-2y = 10--eq(1)\\4x + 2y = 8--eq(2)[/tex]

Add both equations to eliminate y and find value of x

[tex]5x-2y = 10\\4x + 2y = 8\\------\\9x=18\\x=\frac{18}{9}\\x=2[/tex]

We get value of x=2

Now, finding value of y by putting value of x in eq(1)

[tex]5x-2y=10\\Put\:x=2\\5(2)-2y=10\\10-2y=10\\-2y=10-10\\-2y=0\\y=0[/tex]

We get value of y= 0

Solving the system of equations using elimination method, we get x=2, y=0

The ordered pair is: (2,0)

Answer:

the answer is C

Step-by-step explanation:

Answer:

a = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

8a - 15 - 6a + 3a = 85

Step 2: Solve for a

Hello.

To find this, divide the cost per amount.

In this case, the cost of the tickets is $27, and the amount is 3.

Divide 27 by 3.

27 / 3 = 9

Each ticket costs $9.

Answer:

$9 per ticket

Step-by-step explanation:

all you do is divide 27 by 3 and get 9

Answer:

216

Step-by-step explanation:

120 divided by 6 equals 20 so 100 divided by 6 equal 16

It will take approximately four years for the population to be fewer than 13,000.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The population of the town is 20.000. It decreases at a rate of 9% per year.

The population of the town decreases by 20,000 × 9% = 1,800 people per year.

To determine how many years it takes for the population to fall below 13,000, you can use the formula:

= (20,000 - 13,000) / 1,800

= 3.88 ≈ 4 years

So, it will take approximately 4 years for the population to be fewer than 13,000.

To learn more about the rate click here :

https://brainly.com/question/12786410

#SPJ6

Answer:

[tex]B.\angle PQS=70[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\QS\ is\ the\ angle\ bisector\ of\ \angle PQR\\\angle PQR=140\\Hence,\\QS\ bisects\ \angle PQR\ into\ \angle PQS\ and\ \angle SQR\ which\ are\ both\ equal.\\Hence,\\\angle PQS\ = \angle SQR\\As\ \angle PQR=\angle PQS\ + \angle SQR\\140=\angle PQS\ + \angle SQR\\As\ \angle PQS\ = \angle SQR [Proven]\\140=\angle PQS\ + \angle PQS\\Hence,\\140=2\angle PQS\\\angle PQS=\frac{140}{2} \\\angle PQS=70[/tex]

Answer:

To find out which one is the better buy we have to find out what the unit price of each one is.  To find a  unit price you divide the ounce by the cost.

Step-by-step explanation:

5/90=18 cents

12/240=5 cents

the 12 ounce can is less per ounce so the 12 ounce can is the better buy.

Answer:

L = 3x cm

Step-by-step explanation:

For this problem, let's consider the relation that is stated:

Length is 3 times as much as the width.  The width is x cm.

Mathematically we can say the following:

L = 3W

W = x cm

So we can say the following about the length:

L = 3W

L = 3(x cm)

L = 3x cm

Cheers.

Answer:

3 • 74509

I this is right

Answer:

ok step bro are you stuck let me help

Answer:

x = 13

Step-by-step explanation:

154 + 13 = 167

so 180 minus 167 and you get 13

all interior angels of a tringel should add up to 180