8y- 10 =
What is y ?

Answer:

Step-by-step explanation:

x       - a certain number

6x  -  - six times the number

6x-31    - six times the number less 31

3x        - three times the number

3x-10    -  10 subtracted from  three times the number

so the equation:

6x - 31 = 3x - 10

    +31       +31

 6x  =  3x + 21

 -3x     - 3x

3x  = 21  

 ÷3     ÷3

 x = 7

Check:  6•7-31=42-31=11;   3•7-10=21-10=11  

Answer:

c) 2

Step-by-step explanation:

here you can use cross multiplication. that's where you turn the fraction into an equation. ( there's videos about it, I'm not very good at explaining )

so you can turn

[tex]\frac{5}{x} = \frac{15}{x + 20}[/tex]

into

5(x + 20) = 15x

5x + 100 = 15x

subtract 5x from both sides

100 = 10x

x = 10.

the value of x/5 would be 2, since 10/5 is 2.

Since x/5 is the reciprocal of 5/x, we know that we can flip the fraction on the right hand side will be flipped.

Thus, x/5 = (x + 20)/15

Now we cross multiply, 15x = 5(x + 20)

Simplify: 15x = 5x + 100

Subtract 5x from each side: 10x = 100

Divide 10: x = 10

Now plug 10 back into the right hand side: (10 + 20)/15

So, the answer is 2.

Answer:

hope this helped :D

Step-by-step explanation:

-3x + 7 = -2

-3x + 7 - 7 = -2 -7

-3x = -9

-3x divided by -3 = -9 divided by -3

x= 3

Answer:

3

Step-by-step explanation:

Step 1:

- 3x + 7 = - 2       Equation

Step 2:

- 3x = - 9           Subtract 7 on both sides

Step 3:

x = - 9 ÷ - 3        Divide

Answer:

x = 3

Hope This Helps :)

Answer:

12

Step-by-step explanation:

Using the formula

A=πr^2

Solving for r

r=A

π=452.39

π≈12.00001

Answer:

The radius is equal to 12 yards

Answer:

4

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 0, 4 ] , thus

f(b) = f(4) = - 4² + 8(4) - 4 = - 16 + 32 - 4 = 12

f(a) = f(0) = - 4 , then

average rate of change = [tex]\frac{12-(-4)}{4-0}[/tex] = [tex]\frac{12+4}{4}[/tex] = [tex]\frac{16}{4}[/tex] = 4

A and B are alternate interior angles[tex].[/tex]

∴ ∠A = ∠B

➠ (2x - 20)° = 90°

➠ 2x = 90° + 20°

➠ 2x = 110°

➠ x = 110°/2

➠ x = 55°

The value of x for which d || m is 35° and their alternate angles are of equal measure.

A transversal is a line that intersects two lines on the same plane at two different points. When those two intersected lines are parallel their alternate angles, interior angles and exterior angles are equal and the converse of this statement is also true.

We know when two parallel lines are intersected by a transversal their interior alternate angles are equal.

∴ (2x - 20)° = 90°

2x = (90 - 20)°.

2x = 70°.

x = 35°.

learn more about transversal here :

https://brainly.com/question/17432060

#SPJ2

Answer:

40,000,000

Step-by-step explanation:

Question :-

Answer :-

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{8 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 8 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(8 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(8 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(8 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 628 \: m^3}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

Answer: -15a^3b^4

Step-by-step explanation: combine like terms and multiply and stuff

Answer:

-15a³b⁴

Step-by-step explanation:

you have to add the exponents when you multiply them and just multiply the numbers

Answer:

top l) -4[tex]\frac{4}{5}[/tex]

top r)-7.5

bottom l) 1.5

bottom r)-2[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b

Answer:6/12

Step-by-step explanation: you find the common denominator (12 in this case) and multiply 3 by 4 to get that,then you multiply one to get 4.And finally you can add (terrible explanation)

Answer:

Step-by-step explanation:

Answer:

Your answer if 4607

Step-by-step explanation:

4000 + 600 + 7 = 4607

Answer:

I think the answer is 4607

Answer:

24 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is the side length )

Here A = 16[tex]\sqrt{3}[/tex] , then equating gives

[tex]\frac{s^2\sqrt{3} }{4}[/tex] = 16[tex]\sqrt{3}[/tex] ( multiply both sides by 4 to clear the fraction )

s²[tex]\sqrt{3}[/tex] = 64[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

s² = 64 ( take square root of both sides )

s = [tex]\sqrt{64}[/tex] = 8

Thus

perimeter = 3 × 8 = 24 cm

Answer:

15x - 21

Step-by-step explanation:

-3(-5x+7)

you sidtribute the 3 to both numbers by multiplying both the -5 and the 7 by -3

-3 x -5x = 15x (remember, a negative times a negative equals a positive)

-3 x 7 = -21 (A negative times a positive equals a negative)

15x - 21

Answer:

15/2 would be the simplified answer

Step-by-step explanation:

Answer:

15/2

(Decimal: 7.5)

Step-by-step explanation:

Answer:

x- intercept = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = 6 , thus

y = - 2x + 6 ← is the equation of the line

To find the x- intercept, let y = 0 in the equation and solve for x

- 2x + 6 = 0 ( subtract 6 from both sides )

- 2x = - 6 ( divide both sides by - 2 )

x = 3 ← x- intercept or (3, 0 )

Answer:

36 years

Step-by-step explanation:

Maria interest rates was to get 2% annual. Her interest rate do not change of 72. So you will have to divide 72 out of 2 which that will give you 36 . 36 years is your answer.

Maria's money would double in 36 years

The rule of 72 is an heuristic that is used to determine in how many years it would take an investment to double given the interest rate

Rule of 72 = 72 / interest rate

72 / 2% = 36 years

Assume Maria has $10,000 in her account, it would take 36 years for the money to double.

To learn more about the rule of 72, please check: https://brainly.com/question/2262294?referrer=searchResults

Answer:

A

Step-by-step explanation:

A dot has a x - intercept and a y - intercept.

When looking for a y - intercept, you look at the y line in the graph. Where does the graph cross it?

The answer (in this case) is 3, because it's right in the middle between 2 and 4

False.

Dialtions change the size of the figure but does not change the angles

Answer:

i think it is false

Step-by-step explanation:

Answer:

                                 36

                        2        x       18

                  2      x       2       x   9

             2   x     2    x    2     x      3

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Given;

The points are; (-4,4) and (5,-1).

Use formula for midpoint are;

[tex]midpoint(x,y) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Put all values.

[tex](x,y) = (\frac{ - 4 + 5}{2} , \frac{4 - 1}{2} )[/tex]

Simplify it.

[tex](x,y) = ( \frac{1}{2} ,\frac{3}{2} )[/tex]

Therefore, midpoint is (1/2,3/2).

Hope it helps..

Answer:

27x≤150

Step-by-step explanation:

Then the inequality is x≤5.5

b.

The height is 162 inches

you can stack 5 boxes

Answer:

A. 27x<=150

B. x <=5 5/9

C. 5

Step-by-step explanation:

A. The amount of the boxes in inches has to be less than or equal to the storage unit in inches.

B. X is less than or equal to 27 divided by 150, which is 5 5/9.

C. Since you cannot have 5/9 of a box, you must round down and say that you can only stack 5 boxes vertically.

Answer:

600 ≤ 3x ≤ 900

Can purchase between 200 to 300 tiles.

Step-by-step explanation:

600 ≤ 3x ≤ 900

600 ≤ 3x and 3x ≤ 900

x ≥ 200 and x ≤ 300

Answer:

x = -5

Step-by-step explanation:

77+66+x+42 = 180

x + 185 =180

x = -5

Answer:

hahahahawe fiefu3j4ion31pigjp 34gn4j32ogfp34 ijg3 4g1i34onglm3go 314go34n1go31lg 34ogp13m4ogfp123g 34p1gfoi32jmfop23f 31ogi3j4go

Step-by-step explanation:

Simple Interest

Simple interest represents a fee you pay on a loan or income you earn on deposits.

When borrowing money: You must repay the amount you borrowed and make extra payments for interest, which represents the cost of borrowing.

When lending money: You typically set a rate and earn interest income in exchange for making your money available to other people.

When depositing money: Interest-bearing accounts such as savings accounts pay interest income because you are making money available to the bank to lend to others.

How to Calculate It

In the following example, the term "simple" means you're working with the simplest way of calculating interest. Once you understand how to calculate simple interest, you can move on to other calculations, such as annual percentage yield (APY), annual percentage rate (APR), and compound interest.

Hope this helps! <3

Answer:

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

20x+7=10

20x=10-7

20x=3

x=3/20

x=0.15

Answer:

y = -3/4x + 7

Step-by-step explanation:

Given: m = -3/4

y = mx + b

(1) = -3/4(8) + b

1 = -6 + b

b = 7

Use m and b to form equation of line:

y = mx + b

y = -3/4x + 7

Answer: y = 7 over 10 x -8

Step-by-step explanation:The point we are given  (0,−8) is the y-intercept (c). The clue for this is that the x-value is 0, which means the point lies on the y-axis.

Answer:

This ladder will be long enough because the top of the roof is 15ft 9in and that's < 25

Step-by-step explanation:

Answer:

This ladder will be long enough because the top of the roof is 15ft 9in and that's < 25

explanation: