Simplify please explain step by step

Answer:

Soln:

Total ages = 175

No. of ages= 6

Now,

Average age= Total ages/no. of ages

= 175/6

= 29.167 ans.

Since, 1 gallon = 3.78541 liters

Therefore, 20 gallons = 75.7082 liters

That means amount of gasoline in the gas tank is 20 gallons or 75.7082 liters.

It's given in the question that E15 gasoline contains 15% of alcohol.

Therefore, amount of alcohol in the gas tank = 15% of 75.7082

                                                                           = 11.35623

                                                                           ≈ 11.36 liters

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Amount of total Alcohol in liters is 11.355 liter.

Given:

Amount of total gas solution = 20 gallon

Amount of Alcohol in total gas = 15%

Find:

Amount of total Alcohol in liters

Computation:

1 Gallon = 3.785 liter (Approx.)

Amount of total gas solution in liter = 20 × 3.785

Amount of total gas solution in liter = 75.7 liter (Approx.)

Amount of total Alcohol in liters = Amount of total gas solution in liter × Amount of Alcohol in total gas

Amount of total Alcohol in liters = 75.7 × 15%

Amount of total Alcohol in liters = 75.7 × 0.15

Amount of total Alcohol in liters = 11.355 liter (Approx.)

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Answer:

2-3 is same as 2+(-3)

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.

.

Hope it helps

Answer:

46

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Answer:

3.16

Step-by-step explanation:

Answer:

[tex](g\circ f)(-4) = 32[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = -2x - 3\text{ and } g(x) = 2x^2 - 2x - 8[/tex]

And we want to find the value of:

[tex](g\circ f)(-4)[/tex]

Recall that this is equivalent to:

[tex]\displaystyle = g(f(-4))[/tex]

Find f(-4):

[tex]\displaystyle \begin{aligned}f(-4) &= -2(-4) - 3 \\ &= 5 \end{aligned}[/tex]

Hence:

[tex]g(f(-4)) = g(5)[/tex]

Finally, find g(5):

[tex]\displaystyle \begin{aligned}g(5)& = 2(5)^2 - 2(5) - 8 \\ &= 32 \end{aligned}[/tex]

In conclusion:

[tex](g\circ f)(-4) = 32[/tex]

Answer: (should be) A

Step-by-step explanation: I've done the same test before

Answer:

why should the government provides security to it's people

Answer: 2205

Step-by-step explanation:

From the prime factorisation of 525 we get

525 = 3×5×5×7

We have to make sure that all the factors are in cube form

To do that we have to add 3×3×5×7×7 to the factors

We get

525 = 3×3×3×5×5×5×7×7×7

So the 3×3×5×7×7 gives us the smallet value of k, which is 2205

And 525×2205 gives us 1157625 which is a perfect cube.

Answer:

C: negatively skewed class

[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]

[tex] \sf\large -45\div9-\left(-5\right) \\ = \sf - 5 - ( - 5) \\ \sf= - 5 + 5 \\ \sf = 5 - 5 \\ = \boxed{\bf 0}[/tex]

-> The answer will be 0.

______

Hope it helps.

гคเภ๒๏ฬรคlt2²2²

−45÷9−(−5)

=−5−(−5)

=−5+5

=5−5

= 0

-> The answer will be 0.

#Keeplearning

Answer:

Sea level.

Step-by-step explanation:

A photo is usually rectangular in shape. This means that if a frame is to be put around the photo with the same width all round, it means that if the width is "x", then the new length and width will be (l + 2x) and (w + 2x) respectively where l is length and w is width.

Option C is the correct answer

Data Given;

Height of Photo: 16 cm

Width of Photo: 20 cm

Since she wants to put a frame with same width around the photo, let's represent this width as x.

Thus;

New height = 16 + 2x

New width = 20 + 2x

Area of a rectangle is given as:

A = Length * width

Thus, in this case;

A = (16 + 2x) × (20 + 2x)

Multiplying out, we have;

A =  [tex]4x^{2} + 32x + 40x + 320[/tex]

A = 4[tex]x^{2} + 72x + 320[/tex]

Looking at the given options, Option C is the correct answer

Read more at: brainly.com/question/11289399

Answer:

t = Gx + a

Step-by-step explanation:

G = t - a/x             (Given)

G(x) = (t - a/x)x     (Multiply x on both sides)

Gx = t - a              (Simplify)

Gx + a = t - a + a  (Add a on both sides)

Gx + a = t             (Simplify)

Answer:

Step-by-step explanation:

A century has 100 years in it. months only has a max of 31 dates. The following years are perfect squares, 01,04,09,16,25,36,49 64,81,100

It will be 10 square root dates.

Answer:

area= 604 cm^2

perimeter=376 cm

Step-by-step explanation:

radius(r)=28/2

            =14 cm

area of the semicircle=2[tex]\pi[/tex]r*theta /360

                                   =2*22/7*14*180/360

                                   =44cm^2

area of the rectangle=l*b

                                  =28*20

                                  =560 cm^2

total area=semicircle area+rectangle area

                =560+44

               =604 cm^2

arc length=[tex]\pi[/tex][tex]r^{2}[/tex]*theta/360

                =22/7*14*14*180/360

                =308cm^2

perimeter=28+20+308+20

                =376 cm

Hope this helps you.

Answer:

7 kilometers per litre

Step-by-step explanation:

Take the distance and divide by the number of litres

28 kilometers/ 4 litres

7 kilometers per litre

Answer:

[tex]\huge\boxed{\sf 2\frac{1}{12} }[/tex]

Step-by-step explanation:

[tex]\displaystyle = 3\frac{1}{3} - 1\frac{1}{4} \\\\= \frac{3\times3+1}{3} - \frac{4\times1+1}{4} \\\\= \frac{10}{3} - \frac{5}{4} \\\\= \frac{10\times4}{3\times4} - \frac{5\times3}{4\times3} \\\\= \frac{40}{12} - \frac{15}{12} \\\\= \frac{40-15}{12} \\\\= \frac{25}{12} \\\\= 2\frac{1}{12} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

2 1/12

Step-by-step explanation:

3 1/3 - 1 1/4

Get a common denominator

3 1/3 *4/4 = 3 4/12

1 1/4 *3/3 = 1  3/12

Subtract

3 4/12 - 1 3/12

2 1/12

Answer:

Y= 2x + 10

Y= 4/3 x + 7 2/3

For the first equation with points (3,-4) and m there are three values that we can plug into the equation y=mx + b to find the missing value in this situation, the y-intercept.

First, write the equation with the given values and you should have something like this:

-4 = 2(3) +b

The only value that hasn't been discovered yet is b so we solve the equation appropriately to get our value.

-4 = 6+ b

-10= b

And now that we know that the value of b is -10 we can plug -10 into the equation and get the equation Y= 2x + 10

Now for the second, we complete the same steps. We know that we have the points and the slope and subsequently plug it into the equation and receive our answer( for the y-intercept).

1= -5(4/3) +b

1= - 6 2/3 + b

7 2/3 = b

Once we see that the value of b is 7 2/3 we plug it into the equation and get Y= 4/3x + 7 2/3

Feel free to ask any questions and I am welcome to criticism

Answer:

[tex] \frac{x + 2}{3} [/tex]

Step-by-step explanation:

Replace y with f(x).

[tex]y = 3x - 2[/tex]

Swap x and y and solve for y

[tex]x = 3y - 2[/tex]

[tex]x + 2 = 3y[/tex]

[tex] \frac{x + 2}{3} = y[/tex]

Step-by-step explanation:

(16-8)x(2+4)

= 8x(6)

= 8x6

= 48

Answer:

-4

Step-by-step explanation:

you would subtract m from both sides to get -4=m

Answer:

48 children went to the big picnic

Step-by-step explanation:

hope that helps>3

Answer:

48 children

Step-by-step explanation:

Answer:

-6d -15

Step-by-step explanation:

-3(2d + 5)

Distribute

-3 *2d -3*5

-6d -15

Answer:

69

Step-by-step explanation:

6+64-1

=69

............

Answer:

Below

Step-by-step explanation:

1. To find the percentage of a number you would need to multiply it by 0. whatever the percent. In this case we are given the percentage and the tip amount, so we can find the original cost of the ride like this :

     2 = 0.2 (x)

Multiply both sides by 10

     20 = 2x

Divide both sides by 2

     10 = x

The original cost of the ride was $10  

2. For this one we already know the cost of the 3 bananas so all we need to find is the cost of 4 oranges

     Each orange = $3.00 / 5

                            = $0.6

For 4 oranges, it would be 0.6 x 4 = $2.4

Adding the price of 4 oranges and 3 bananas together....

    2.4 + 1.5 = $3.9

The total cost of buying 3 bananas and 4 oranges is $3.9

Hope that helps! Best of luck <3

Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.

It is important we understand that foot refers to single unit of measurement while feet is the plural of foot.

Marcus needs to tie two bows for birthday gifts and he has an 8-foot roll of ribbon.

• He uses 3 3/8 (27/8 as a fraction) feet of ribbon for Crystal's gift.

• He uses 2 3/4 (11/4 as a fraction) feet for Tim's gift.

The left-over computation is as follows:

= [tex]8 - \frac{27}{8} - \frac{11}4}[/tex]

= [tex]\frac{256-108-88}{32}[/tex]

= [tex]\frac{60}{32}[/tex]

= [tex]\frac{15}{8}[/tex] or [tex]1\frac{7}{8}[/tex] feet

Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.

See related question here brainly.com/question/14702678