1/2 + 1/3 (6/7 + 15/28)

Answer:

[tex]\frac{100}{9}[/tex] is the answer.

Step-by-step explanation:

Well the first thing we would do is simplify all the exponents first inside the parenthesis. So 2^-3 is equal to 1/8. To solve negative exponents you would just divide the number instead of multiply, so 2 divided by 2 divided by 2 is equal to ⅛ or .125

Next would be to do the 2^-9. This would equal 1/512

Now would be to simplify 5^0. Anything to the power of 0 is always one. So now we simplify all the products meaning 7*5*2 and 7*3.  

Now we would simplify both fractions.

The picture are pretty much self explanatory. If you have any questions feel free to ask in the comments - Mark

Also when you have the chance please mark me brainliest.

Answer:

e (i said this so the other dude could be mark brainlist)

Step-by-step explanation:

Answer: 46200 feet per quart.

Step-by-step explanation:

We know that 1 gallon = 4 quarts

1 mile = 5280 feet

Therefore , 5 gallons = 5 x 4 quarts

= 20 quarts                 (i)

175 miles = 175 x  5280 feet

i.e. 175 miles  = 924000 feet                    (ii)

Now , 175 miles per 5 gallons = [tex]\dfrac{\text{ 175 miles }}{\text{5 gallons}}[/tex]

[tex]=\dfrac{ 924000 \text{ feet}}{\text{20 quarts}}[/tex]    [From (i)and (ii)]

[tex]\dfrac{46200\text{ feet }}{1\text{ quart}}\\\\=46200\text{ feet per quart}[/tex]

Hence, 175 miles per 5 gallons = 46200 feet per quart.

Answer:

175 miles per 5 gallons = 46200 feet per quart.

Answer:

Cool

Step-by-step explanation:

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Step-by-step explanation:

Answer: C. 5

Step-by-step explanation:

Answer:

c.5

Step-by-step explanation:

16 = 4x -4

Collect like terms

16 + 4 = 4x

20 = 4x

Divide both sides by 4

20/4 = x

Therefore x = 5

Answer:

25

Step-by-step explanation:

2 x 2 x 2 x 2 + 3 x 3  

4 x 2 x 2 + 3 x 3

8 x 2 + 3 x 3

16 + 3 x 3

16 + 9

25

Answer:

25

Step-by-step explanation:

2^4+3^2

2^4=2*2*2*2=16

3^2=3*3=9

16+9=25

Answer:+5 or just 5

Step-by-step explanation:

Answer:

4200

Step-by-step explanation:

Final answer:

To find the total number of heartbeats in an hour, multiply the heartbeats per minute by 60. For Judy, her heart beats around 4200 times in an hour.

Explanation:

Judy's heart beats 70 times a minute. To calculate how many times her heart beats in an hour, you can use the following formula:

Heartbeats per hour = Heartbeats per minute x 60 minutes

Heartbeats per hour = 70 x 60 = 4200 times

Answer:

4x + 5x + 1 = 10

9x + 1 = 10

9x = 9

x = 1

y = 5(1)+1= 5+1= 6

(1,6)

Answer:

(1,6)

Step-by-step explanation:

Answer: The area of the circle with a diameter of 10 cm is 78.5 cm2.

Answer: 78.5 units²

Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.

Area = πr²

Notice that here, we're given the diameter instead of the radius. It's important to understand that the radius is equal to half of the diameter so the radius of this circle will be equal to half of 10 or 5.

So plugging into the formula, we have (π)(5)².

A common mistake is to plug 10 into the formula but remember that we must plug in the radius and not the diameter.

Multiplying, (5)² is equal to 5 x 5 or 25 so we have 25π.

So the area of the circle is 25π.

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the area of the circle by plugging in 3.14 for π.

So we have (25)(3.14) which is equal to 78.5 units².

Since there were no labels, I just add units to the end.

So the area of the circle is approximately equal to 78.5 units².

Answer:

The polygon that is formed is a rectangle. Because all sides are horizontal or vertical line segments, she can count to find the distance. She should find the distance of each side and add them together. The total distance around the rectangle is 18 units.

Step-by-step explanation:

The calculation of the distance between the points is simplified, given

that the points are on the same perpendicular or horizontal line.

Correct response:

The given points can be presented as follows;

A(-2, 2), D(-2, -2), B(3, 2), and C(3, -2)

By observation, given that there are two pairs of points that have the

same x-coordinates, and two pair of points have the same y-coordinates,

we have;

The distance between two points is given by the difference between the variables that are not the same as follows;

Distance between point (-2, 2), and (-2, -2), AD = 2 - (-2) = 4

Distance between points (3, 2), and (3, -2), BC = 2 - (-2) = 4

Distance between points (-2, -2), and (3, -2), CD  = 3 - (-2) = 5

Distance between points (-2, 2), and (3, 2), AD = 3 - (-2) = 5

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Answer:

One car was going 50 mph and the other was going 65 mph.

Step-by-step explanation:

Answer:

9.84 times

Step-by-step explanation:

246÷25= 9.84

Answer:

9, or more specifically, 9.84

Step-by-step explanation:

25 x 9 = 225.

25 x 10 = 250, which is too much.

Hope this helps!

Answer:

2.5

Step-by-step explanation:

Answer:

18,354 - 4,672= 13,682

Step-by-step explanation:

I'm not sure what you meant but above is the answer of what I think you were asking.

The difference between 22,456 and 5,893 is 16,563.

Subtracting 5,893 from 22,456 involves determining the quantity that, when added to 5,893, yields 22,456.

To find the difference, we can follow these steps:

Subtract the numbers:

22,456 - 5,893 = 16,563

Therefore, the difference between 22,456 and 5,893 is 16,563.

Complete question:

Find the difference between 22,456 and 5,893.

The solution to the equation 2.4y=13.75 is found by isolating the variable y, which gives us y = 5.729167.

The question asks for the solution to the equation 2.4y =13.75. To solve this equation, we simply need to isolate the variable y. This can be done by dividing both sides of the equation by 2.4.

So, now the equation becomes y =13.75 ÷ 2.4.

After performing the division, you get y = 5.729167. Thus, y=5.729167 is the solution to the equation 2.4y=13.75.

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Answer: 200

Step-by-step explanation:

120 divided by 3/5 is the same thing as 120 times 5/3.

So 120 x 5 = 600

And 600 divided by 3 is 200

The result of the division 120 divided by 3/5 is : 200.

Here, we have,

given that,

What is 120 divided by 3/5

we know that,

120 divided by 3/5 is the same thing as 120 times 5/3.

i.e. 120 ÷ 3/5

=> 120 × 5/3

now, we know that,

So 120 x 5 = 600

=> 600/3

And 600 divided by 3 is 200.

so, we get,

Hence, The result of the division 120 divided by 3/5 is : 200.

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To divide 6.4 by 136.32, you can use long division. The answer is approximately 0.0469.

To divide 6.4 by 136.32, you can use long division. Set up the problem with 6.4 as the dividend and 136.32 as the divisor. Start dividing by the highest place value of the divisor, which in this case is the hundreds place. The result is 0, since 136.32 does not go into 6.4 hundreds of times. Bring down the next digit, which is 4, and divide 43.2 (the current partial dividend) by 136.32. Repeat this process until you have the desired level of accuracy in your quotient.

The answer to 6.4 divided by 136.32 is approximately 0.0469 (rounded to four decimal places).

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Answer:

You have scored 73.75 percentage

Step-by-step explanation:

Given:

Total number of shots =  80

Total number shot made =  59

To find:

The percentage of the score = ?

Solution:

The percentage of the score = [tex]\frac{\text{number of shots made}}{\text {total number of shots}} \times 100[/tex]

Now on substituting the values

The percentage of the score =[tex]\frac{59}{80} \times 100[/tex]

The percentage of the score =[tex]0.7375 \times 100[/tex]

The percentage of the score = 73.75 %

Answer:

2,500 pounds

Step-by-step explanation:

one ton = 2000 pounds

1.25*2000= 2,500

Answer:

53.284 kg

Step-by-step explanation:

62 kg - 8.716kg = 53.284 kg

Hope it helps you in your learning process.

Answer:

53,284 grams

Step-by-step explanation:

Kilograms resemble a thousand grams. Therefore:

Desk = 62000

Chair = 17000

So then the heaviest object is the desk and the lightest is the computer.

So:

62000grams -8716grams = 53284grams

This can be written as 3(n+12)=45, where n is the unknown number

3(n+12)=45 <- Starting Equation

3n+36=45 <- Distributive Property

3n=9 <- Cancel 36 on both sides

n=3 <- Divide both sides by 3

So n=3

Hope this helped!

Answer:

3

Step-by-step explanation:

Answer:

We can say that the given equation has no extraneous solutions.

The correct option is A.) 0

Step-by-step explanation:

the given equation is [tex]\frac{9}{n^{2} +1} = \frac{n+3}{4}[/tex]

this equals to [tex]36 = (n^{2} +1)(n+3) = n^{3} + 3n^{2} + n + 3[/tex]

therefore [tex]n^{3} +3n^{2} +n+3 = 36 \hspace{0.3cm}\Rightarrow \hspace{0.3cm}n^{3} +3n^{2} +n-33=0[/tex]

Solving the equation through Newton-Raphson method we get n  [tex]\approx[/tex]  2.3845.

We can say that the given equation has no extraneous solutions.

Answer:

A. 0

Step-by-step explanation:

How many extraneous solutions does the equation below have?

StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction

0

1

2

3

2 x 3-5

= 6-5

= 1

1 is the answer

Answer: C.

Step-by-step explanation: if you count the you can see that G = (2, -1).

Answer:

The given expression simplifies to 84x - 16y - 35

Step-by-step explanation:

The given equation is 2 ( 14x - 3y + 28x - 5y - 17.5)

The given equation simplifies to

28x - 6y + 56x - 10y  - 35

which is equal to

84x - 16y - 35

The expression 2 (14x - 3y + 28x + 12.2 - 5y - 17.5) simplifies to 84x - 16y - 10.6.

The expression that is equivalent to 2 (14x - 3y + 28x + 12.2 - 5y - 17.5) can be simplified using the distributive property and combining like terms.

First, distribute the 2 to each term inside the parentheses:

2(14x - 3y + 28x + 12.2 - 5y - 17.5) = 28x - 6y + 56x + 24.4 - 10y - 35

Next, combine like terms:

28x + 56x = 84x

-6y - 10y = -16y

24.4 - 35 = -10.6

So, the simplified expression is 84x - 16y - 10.6.

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Roll two fair dice, when a 1 or 2 is rolled for both dice simultaneously it is recorded as both foul shots being made. This process is repeated for 50 trials.

The probability of a 1 or 2 from a roll of a die is

2

6

or

1

3

which equals the probability of the player making a single foul shot. Therefore, the compound event of two foul shots being made is equal to a 1 or 2 being rolled on both dice simultaneously, (

1

3

)(

1

3

) =

1

9

.

Answer:

c

Step-by-step explanation:

i got it right

Answer:

C.

Step-by-step explanation:

I'm too lazy to do it here for an explanation.

I did it in my notebook and I got it right.

Answer:

the side lengths

Step-by-step explanation:

Answer:

the answer is C) 69.you have to add 69 to -26 which gives you 96. in other word C) is the answer

Step-by-step explanation:

So you need to isolate/get "b" by itself in the equation:

[tex]3=\frac{3}{4}(b-8)[/tex]       Distribute/multiply 3/4 into (b - 8)

[tex]3=(\frac{3}{4}(b))+(\frac{3}{4}(-8))[/tex]

[tex]3=(\frac{3}{4} b)+(-6)[/tex]           Don't know which goes into the parentheses....think the one above makes more sense...maybe....sorry

[tex]3=\frac{3}{4} b-6[/tex]           Add 6 on both sides

[tex]9=\frac{3}{4} b[/tex]        Multiply the reciprocal of 3/4 to get rid of the fraction and get b by itself, which would be 4/3  [basically flipping the fraction or switching the numerator and the denominator]

[tex]\frac{36}{3} =b[/tex]            Simplify the fraction

12 = b

Answer:

Step-by-step explanation:

25.8

6 out of 10 is 60% so 60% percent of 43 is 25.8

The height of the tree is 25.8 feet which is casting a shadow of 43 feet long.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, A tree casts a shadow that is 43 feet long, and boy cast shadow of 10 feet who is 6 feet tall.

Assuming the height of the tree to be x.

∴ 43 : 10 : : x : 6.

43/10 = x/6.

10x = 258.

x = 25.8 feet.

So, the height of the tree is 25.8 feet.

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