Solve for c:
9x + 72°
4x + 112°

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

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Answer:

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

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Hope it helps

Answer:

31 Minutes

Step-by-step explanation:

4.78 = 0.15 + 0.58

0.15m = 4.78 - 0.58

m = 4.78 - 0.58 divided by 0.15 = 28 minutes

So in total we have 28 + 3 = 31 minutes

Answer:

8

Step-by-step explanation:

2+(3×2)=2+6=8

Answer:

0.23 x 3.1 = 0.713

Step-by-step explanation:

the decimal moves 2 to the left since 23 became 0.23

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.

Step-by-step explanation:

(16-8)x(2+4)

= 8x(6)

= 8x6

= 48

Answer:

Mid point of A(9,2) and B(6,44) is (7.5, -1)

Step-by-step explanation:

I. If mid point = [tex]\frac{x_{a} +x_{b} }{2}[/tex], [tex]\frac{y_{a}+ y_{b} }{2}[/tex]

 So (x) = (9 + 6) / 2 = 7.5

       (y) = (2 + (-4)) / 2 = -1

So (x,y) = (7.5, -1)        

Leave more question below, I don't understand you question well.

Answer:

Ans:

Step-by-step explanation:

AB+BC=AC

AB=BC

It is the centroid for both the endpoints

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

Learn more,

https://brainly.com/question/618776

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:

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

Answer:

7, 5, 1, 3

Step-by-step explanation:

Hope this Helps!

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The acceleration due to gravity on the surface of the Moon is about 1.625 m/s2. So, an object the mass of 10 kg. will weigh 10 × 1.625 = 16.25 N (newton) on the moon.

The mass will be 16.25 Kg

Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s2. It has both magnitude and direction, hence, it’s a vector quantity. Acceleration due to gravity is represented by g. The standard value of g on the surface of the earth at sea level is 9.8 m/s2.

Gravity is the force with which the earth attracts a body towards its centre. Let us consider two bodies of masses ma and mb. Under the application of equal forces on two bodies, the force in terms of mass is given by:

mb = ma [aA/aB] this is called an inertial mass of a body.

Given:

mass of object = 10 kg

Acceleration due to gravity on Moon

=1.625 m/s²

So,

Mass of object on moon= 1.625 * 10 = 16.25 Kg

Learn more about acceleration due to gravity here:

https://brainly.com/question/13860566

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Answer:

Step-by-step explanation:

Step-by-step explanation:

f(x) - g(x) = 3x² + x - 3 - ( x² - 5x + 1 )

= 3x² + x - 3 - x² + 5x - 1

= 2x² + 6x -4

This is correct answer.

Answer:

46

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Answer:

3.16

Step-by-step explanation:

Answer: (should be) A

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

Answer: The greatest number of students for whom 30 apples, 45 pears and 60 oranges can be distributed equally is 15.

Step-by-step explanation:

taking HCF

so

HCF of 30,45,60

30 = 2*5*3

45 = 3*3*5

60=3*2*2*5

HCF = 3*5 = 15

so

1 student will get = 30/15 = 2 apples

1 student will get = 45/15 = 3 pears

1 student will get = 60/15 = 4 oranges

Answer and Step-by-step explanation:

-2 is the correct answer.

But, you should set up your number line like this:

 -6                       4

<-|-----------|----------|->

              -2

4 - 6 = -2

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

48 children went to the big picnic

Step-by-step explanation:

hope that helps>3

Answer:

48 children

Step-by-step explanation:

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: 12v² + 18v

Step-by-step explanation:

Given

6v (2v + 3)

Apply distributive property by multiplying 6v to both 2v and 3

= 6v · 2v + 6v · 3

= 12v² + 18v

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Soln:

Total ages = 175

No. of ages= 6

Now,

Average age= Total ages/no. of ages

= 175/6

= 29.167 ans.

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

Adding -3 is equal to b. subtracting 3.

Take a look at the example (hint) they have given in the question.

[tex] \sf \: 5 + ( - 3) = 2 \\ \sf \: 5 \: \underline{- 3} \: = 2 \\ \sf2 = 2[/tex]

We can see that, when we took + (-3) as - 3, the equation still worked. So, therefore -> Option B. is the correct answer.

_____

Hope it helps.

RainbowSalt2222

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: 5 + ( - 3) = 2 \\ \sf 5 - 3 = 2 \\ \boxed{\bf \: 2 = 2}[/tex]