find the midpoint (8, -6) (6,5)​

Step-by-step explanation:

3 less than the quotient of a number y and 4

= y/4 - 3.

When y = 20, y/4 - 3 = 20/4 - 3 = 2.

Answer:

200ml

Step-by-step explanation:

120ml ÷ 60 = 2 x 100 = 200ml

The solution is 200 mL

The amount of sanitizer Brandon can make from 120mL of alcohol is given by the equation A = 200 mL

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of sanitizer from 120 mL of alcohol be A

Now , the equation will be

The sanitizer should contain 60% alcohol

So ,

120 = ( 60 / 100 ) x amount of sanitizer from 120 mL A

Substituting the values in the equation , we get

120 = ( 60 / 100 ) x A

Divide by 60 on both sides of the equation , we get

A / 100 = 2

Multiply by 100 on both sides of the equation , we get

A = 200 m L

Therefore , the value of A is 200 mL

Hence , the amount of hand sanitizer is 200 mL

To learn more about equations click :

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Answer:

Step-by-step explanation:

abc = 1

We have to prove that,

[tex]\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1[/tex]

We take left hand side of the given equation and solve it,

[tex]\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}[/tex]

Since, abc = 1,

[tex]\frac{1}{c}=ab[/tex] and c = [tex]\frac{1}{ab}[/tex]

By substituting these values in the expression,

[tex]\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}[/tex]

                                       [tex]=\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}[/tex]

                                       [tex]=\frac{1+b+ab}{1+b+ab}[/tex]

                                       [tex]=1[/tex]

Which equal to the right hand side of the equation.

Hence, [tex]\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1[/tex]

Answer:

2.$9.25  3.11

Step-by-step explanation:

For the first question virtually you could just go through each one and determine how they would fit. But what I did for both is determine the change in the first column (5 in #2 3 in #3) Then subtract the second change from the first in the second column (185-138.75 and 132-99) you come up with a rate of change like (46.25 and 33) then using that number dividing by the change from the first column (46.25/5=9.25 and 33/3=11) And to check applying all of that to the other changes.

Answer:

sorry i only know the number 2.

so the answer is the first one...

Answer:

[tex]h^\prime(1)=14[/tex]

Step-by-step explanation:

We have the function:

[tex]h(x)=f[f(x)][/tex]

And we want to find:

[tex]h^\prime(1)[/tex]

So, we will differentiate function h. By the chain rule, this yields:

[tex]h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)[/tex]

Then it follows that:

[tex]h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)[/tex]

Using the table, we acquire:

[tex]h^\prime(1)=f^\prime(3)\cdot2[/tex]

And using the table again, we acquire:

[tex]h^\prime(1)=7\cdot 2[/tex]

Evaluate. Hence:

[tex]h^\prime(1)=14[/tex]

Answer:

560 students

Step-by-step explanation:

We are given that the total number of students is

700

The survey results is 80% likes the new lunch menu

We are expected to establish what amount of students is 80%

=80/100*700

=0.8*700

=560

Hence 80% of 700 is 560

Answer:

2.8125 mile

Step-by-step explanation:

hope its right

Answer:

34.2 or 34.20

Step-by-step explanation:

I think that it is this

Answer:

34.2

Step-by-step explanation:

Answer:

15 markers in all

Step-by-step explanation:

5 + 2 + 3 + 5 =

5 + 5 = 10

+

2 + 3 = 5

=

10 + 5 = 15

Brainliest Please!!

Answer:

The answer is 9

Step-by-step explanation:

So In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, add 79 and 10 and subsequently subtracting 72 and 8 to get 9.

Answer:u

Step-by-step explanation:

Answer:

y = 1/2x + 2 1/2

Step-by-step explanation:

y - 4 = 1/2 (x - 3)

y - 4 = 1/2x - 3/2

y = 1/2x - 3/2 + 4

y = 1/2x + 2 1/2

Answer:

14n

Step-by-step explanation:

just rearrange the number with the variable

Answer:

.842

Step-by-step explanation:

Divide 32 by 38 to figure out how many of them are needed. Answer is .842 rounded.

Answer:

x + y = 32 (1)

3x + 4y = 120 (2)

x = 8; y = 24

Step-by-step explanation:

Total students = 120

Number of groups = 32

If the number of three person groups = x

Number of four person groups = y

write a system of equations that models this situation

x + y = 32 (1)

3x + 4y = 120 (2)

From (1)

x = 32 - y

Substitute x = 32 - y into (2)

3(32 - y) + 4y = 120

96 - 3y + 4y = 120

- 3y + 4y = 120 - 96

y = 24

Substitute y = 24 into (1)

x + y = 32

x + 24 = 32

x = 32 - 24

x = 8

x = 8; y = 24

Answer: x < 2

-3x + 7 > 1

<=> -3x > - 6

<=> x < -6/-3

<=> x < 2

Step-by-step explanation:

Answer:yes he is correct

Step-by-step explanation: if you go on a certain site and you put in the equation, you press enter then it will pop up with what you want to do. Press graph, then you can compare the graphs and if it is the same you know it is correct

Answer:

[tex]We\ are\ given\ that,\\Percent\ of\ reduction=x_-\\So,\\Let\ the\ percent\ of\ increase\ be\ x_+\\Let\ the\ original\ price\ of\ the\ item\ be\ y\\Let\ the\ price\ after\ the\ decrease\ be\ z\\.\\Hence,\\y-\frac{x_-}{100} =z\\ z+\frac{x_+}{100}=y\\By\ simply\ adding\ the\ equations,\\(y+z)+(- \frac{x_-}{100}+\frac{x_+}{100})=(z+y)\\Hence,\\- \frac{x_-}{100}+\frac{x_+}{100}=0\\Hence,\\ \frac{x_-}{100}=+\frac{x_+}{100}\\Hence,\\x_-=x_+\\[/tex]

[tex]Hence,\ the\ percent\ of\ increase\ is\ same\ as\ the\ percent\ of\ decrease.[/tex]

Answer:

0.625

Step-by-step explanation:

The lines on top of the numbers means that the number continues for a long time. However, 5/8 isn't infinite which means we can rule the 2nd and 3rd options. We also know that 5/8 certainly isn't greater than 1 which means the only answer we have left is the 1st one.

(sorry this is so confusing but I hope it helped anyway)

Answer:

last option is the polynomial

Step-by-step explanation:

The easiest way to go about this is to look at the last statement

f(2) = 144

The solution to finding the polynomial is by substituting x = 2 into any of the polynomials; if after substituting, we have the value as 144, then the given polynomial is our answer

Let us have a look at each of the polynomials in the option;

1. 2(2)^7 -8(2)^5 + 2(2)^3 = 16

This cannot be our answer

2. 2(2)^7 - 2(2)^5 + 4(2)^3 = 224

This is not our answer

3. 2(2)^7 - 2(2)^5 + 144(2)^3 = 1,344

This is not our answer

4. 2(2)^7 -4(2)^5 + 5(2)^3 = 168

This is not our answer

5. 2(2)^7 -4(2)^5 + 2(2)^3 = 144

This is our answer

Answer:

135

Step-by-step explanation:

Answer:

$13.75

Step-by-step explanation:

Ivan earns $343.75 working for 25hours

The amount that Ivan gets if he works for 1 hour can be calculated as follows

= 343.75/25

= 13.75

Hence the amount paid for one hour is $13.75

Answer:

DF = 2

Step-by-step explanation:

Formula for degree of freedom is;

DF = n - 1

Where n is sample size

In this question, political party affiliation could be Republican, Democrat, or Other. Thus, sample size is 3.

DF = 3 - 1

DF = 2

Thus, degree of freedom value would be 2

Answer:

tanx + cotx =  [tex]\frac{1}{sinxcosx}[/tex]

Step-by-step explanation:

Explanation

Take R.H.S   = [tex]\frac{1}{sinxcosx}[/tex]

            =      [tex]\frac{sin^{2}x+cos^{2}x }{sinxcosx}[/tex]

          =      [tex]\frac{sin^{2}x }{sinx cosx} + \frac{cos^{2} x}{sinxcosx}[/tex]

        = [tex]\frac{sinx}{cosx} + \frac{cosx}{sinx}[/tex]

        = tanx + cotx

tanx + cotx =  [tex]\frac{1}{sinxcosx}[/tex]

9514 1404 393

Answer:

  both C and D are correct

Step-by-step explanation:

The diagram shows that x is the total of $40 and 20% of $40.

Description A would be represented by the difference of $40 and 20% of $40, not the sum.

Description B would be represented by 20% of $40, not the sum of that and $40.

Both descriptions C and D are properly represented in the diagram.

Answer:

The answer is 11

Step-by-step explanation:

so substitute 3 for x, then your equation would be 3^2 + 2

3^2 is 9

9 + 2 = 11

Answer:

y=1/2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or kx

The value of the constant k is equal to the value of the slope m

In this problem we have the point (8,4)

Find the value of k

y/x=k------> substitute the value of x and y

4/8=k

k=1/2

The equation is equal to

y=1/2x

Given:

The function is

[tex]f(x)=-5x-7[/tex]

To find:

The rate of change of the given function.

Solution:

We have,

[tex]f(x)=-5x-7[/tex]        ...(i)

It is a linear function because the degree or power of x in this function is 1.

Slope of a linear function is always constant.

The slope intercept form of a linear function is

[tex]f(x)=mx+b[/tex]      ...(ii)

where, m is slope and b is y-intercept.

On comparing (i) and (ii), we get

[tex]m=-5[/tex]

It means, the function has a constant rate of change, decreasing for all x at a rate of 5.

Therefore, the correct option is D.