Which fraction is equivalent to 20

Answer:

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Answer:

AH = 4 units

Area of ΔABC = 16 square units

Step-by-step explanation:

Since ΔABC is an isosceles triangle,

AC = BC

∠CAB ≅ ∠ABC  [Opposite angles of the equal sides in a triangle are equal]

In ΔABC,

m∠CAB + m∠ABC + m∠ACB = 180°

m∠ABC + m∠ABC + 150° = 180°

2m∠ABC = 30°

m∠ABC = 15°

Now we apply cosine rule in ΔABC,

AB² = AC² + BC² - 2(AB)(BC)cos(m∠ACB)

AB² = 8² + 8² - 2(8)(8)cos(150°)

AB² = 128 + 110.85

AB = [tex]\sqrt{238.85}[/tex]

AB = 15.45

In ΔABH,

sin(m∠ABH) = [tex]\frac{AH}{AB}[/tex]

sin(15°) = [tex]\frac{AH}{15.45}[/tex]

AH = 15.45sin(15°)

AH = 3.998

AH ≈ 4.0 units

HC = [tex]\sqrt{8^{2}-4^2}[/tex]

     = [tex]\sqrt{48}[/tex]

     = 6.93

Area of the triangle ABC = [tex]\frac{1}{2}(BC)(AH)[/tex]

                                          = [tex]\frac{1}{2}(8)(4)[/tex]

                                          = 16 square units

Answer: 1,000

Step-by-step explanation: after you find the answer for 20/3 divided by 1/6 equals 40 so you multiply 40 x 25 to get 1,000

The SUV can travel 425 miles on 25 gallons of gas.

A proportion is an equation that sets two ratios at the same value.

We can use a proportion to solve this problem. The miles per gallon (mpg) of the SUV can be calculated by dividing the distance traveled by the amount of gas used:

MPG  = distance/gas

So for the first case, we have:

MPG = 340 miles / 20 gallons = 17 miles per gallon

To find out how far the SUV can travel on 25 gallons of gas, we can use the same mpg and solve for the distance:

Distance = mpg x gas

Distance = 17 miles per gallon x 25 gallons

Distance = 425 miles

Therefore, the SUV can travel 425 miles on 25 gallons of gas.

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The complete question:

If an SUV travels 340 miles on 20 gallons of gas, how far can it travel on 25 gallons of gas?

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From left to right for the tables :

[tex]1) \: \: \: \: y = 4x + 2[/tex]

And

[tex]2) \: \: \: \: y = 3x - 12[/tex]

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To find the solution we need to take equal above equations .

[tex]4x + 2 = 3x - 12[/tex]

Subtract sides 3x

[tex] - 3x + 4x + 2 = - 3x + 3x - 12 \\ [/tex]

[tex]x + 2 = - 12[/tex]

Subtract sides 2

[tex]x + 2 - 2 = - 12 - 2[/tex]

[tex]x = - 14[/tex]

Thus the x-coordinate of the solution must be -14 which is just in the last option.

Thus the correct answer is the last one.

Done...

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False, The sum is positive, no subtraction is being done and no negatives are present.

A positive plus a positive is another positive.

3. 3 hope this will help you

Answer:

8.75 as 80-73 gives 7 and 7/80x 100= 8.73 by which is the percentage it is decreased.

Answer:

40800000000000

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

any # times 0 is 0

(-7,-7) and (-7,4)

First we need to find the slope between these two points

(y2-y1) / (x2-x1) = -11 / 0 =

Therefore there is no slope.

So, the equation that is possible is:

x = -7

Answer:

54

Step-by-step explanation:

Answer:

x=28

So a

Step-by-step explanation:

2x+96+x=180   add like terms (2x+x)

3x+96=180       subtract 96 from both sides (3x+96-96=180-96)

3x=84               divide both sides by 3 (3x/3=84/3)

x=28

Answer:

4.94x10^13

Step-by-step explanation:

You have to move the decimal 13 times to the right and the number you get or it to be in scientific notation has to be in between 1 and something less than 10.

You probably don't need this answer anymore, sorry!

Answer:

b=12.50p

Step-by-step explanation:

Answer:

6+(-15)

Step-by-step explanation:

=6+(-15)

=6-15

=-9

Answer:

Gain:

32 yards

Step-by-step explanation:

+ 9 - 18 + 41

= 41 + 9 - 18

= 50 - 18

= 32

Answer:

Step-by-step explanation:

35

Step-by-step explanation:

has 3 (sig figs) and 5 decimals. see the additional (+) and subtraction (-) round by the last number of decimals or use scientific no ( e.g. 1.000 x 10^3 or 1.000e3)

Answer: 6

Step 1: Subtract 8.

32 - 8 = 24

Step 2: Divide by 4, since the question is asking for 4 times the number.

24 ÷ 4 = 6

Answer = 6

Answer:

kkkkk

Step-by-step explanation:

kkkkkk kkkkkk kkkWhy were the Punic War so important for the development of the Roman Empire?

Answer:

20

Step-by-step explanation:

If you have 60,000,000 barrels of crude oil and 34% of the barrels are gasoline then you have to set up the problem like this because you have to find out how much 34% of 60,000,000 is first in order to solve the problem.

is/of x 100/%

60,000,000 / a   X    100 / 34

so..60,000,000 x 34 = 2,040,000,000

then divide that amount by 100= 2,040,000,000 / 100 = 20, 400,000

so the 34% actually is the total 20,400,000. Now, you divide the dollar amount 408,000,000 million barrels by the total amount of gasoline which is 20,400,000.

408,000,000 / 20,400,000 = 20

So each barrel of gasoline cost $20.

Answer:

Step-by-step explanation:

Find the z-value with a left tail of 0.40

invNorm (0.40) = -0.2533

----

Find the corresponding x-value using x = z*s + u

x = -0.2533*20 + 400 = 394.93

Answer:

4.2

Step-by-step explanation:

3 x (sqrt 2)

3 x (1.41421356237)

4.24264068712

4.2

Answer: value grocery store

Step-by-step explanation: Because when you divide all the numbers by each other your gonna get 0.6 .

The same popular crackers are on sale at Value Grocery Mart and Market City for 5.25, 10.5, 15.75, and 21 cents.

As the cost per pack is C=1.75b. C is the Cost in dollars.

3 × 1.75 = 5.25

6 × 1.75 = 10.5

9 × 1.75 = 15.75

12 × 1.75 = 21

Here, the table is given below

The complete question is:

Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal: Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.) Value Grocery Mart: 12 6 3 20 15 Number of Boxes of Crackers 10 5 Cost (in dollars) Market City: c = 1.75b, where c represents the cost in dollars, and b represents the number of boxes of crackers

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Answer:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Step-by-step explanation:

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2

In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144° There you go! Have a awesome day.

Answer:

I believe it is 5 because when simplified they all simplify to 1/5

multiply everything by 8

2x+16 = -5x-40

-16 on both sides

2x = -5x-56

+5x on both sides

7x = -56

x=-8

so the first option

Answer:  x = -8

its just is lol