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Answer:

  C.  define all variables

Step-by-step explanation:

Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.

One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.

Answer: 24km^2

Step-by-step explanation: The area of the middle rectangle of the trapezoid is 3×4=12. The two triangles on the sides are both 3-4-5 right triangles and have a combined area of 12 units^2. 12+12=24!

Answer:

50 gluten-free cupcakes and 100 regular cupcakes.

Step-by-step explanation:

Let's define the variables:

R = number of regular cupcakes sold

G = number of gluten-free cupcakes sold

The total amount of money raised then is:

M = R*$2.00 + G*$3.00

We also know that:

The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.

then:

R = 2*G

And we also know that the amount of money raised is $350

Then we have the equations:

R = 2*G

R*$2.00 + G*$3.00 = $350

We can replace the first equation into the second one, so we have only one variable:

(2*G)*$2.00 + G*$3.00 = $350

Now we can solve this for G.

G*$4.00 + G*$3.00 = $350

G*$7.00 = $350

G = $350/$7.00 = 50

G = 50

50 gluten-free cupcakes where sold.

And using the equation:

R = 2*G = 2*50 = 100

We can conclude that 100 regular cupcakes were sold.

Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

Its 6/5..

1 = 20%

Please give brainliest

Answer:

I can't find the missing parallelogram, let alone the base.

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

have a good day

Answer:

x=8

Step-by-step explanation:

divide both sides of the by equation by 4

4x÷4=32÷4

x=32÷4

x=8

Answer:

D) 15.7 cm

Step-by-step explanation:

radius = 10 cm

diameter = 10 x 2 = 20 cm

circumference = 20 x 3.14 = 62.8 cm

(90°/360°)(62.8) = 15.7 cm

Answer:

1/2. gallon.............

Answer:

45

Step-by-step explanation:

6 to the power of 2 + 3 to the power of 2

6² + 3²

(6 × 6) + (3 × 3)

36 + 9

45

Answer:

17 units is the answer

Step-by-step explanation:

Points are (1,9) and (9,-6)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-1)^2 + (-6-9)^2}\\\\d=\sqrt{(8)^2+(15)^2} \\\\d=\sqrt{64+225} \\\\d=\sqrt{289} \\\\d=17[/tex]

∴ d = 17 units is the distance between 2 points.

Answer:

12 miles

Step-by-step explanation:

Area=length*width

To find the length using the area, do area/width.

96/8=12

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

For more question on number visit:

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Answer:

47.1

Step-by-step explanation:

l= rø

or, l= 18 × 5π/6

or, l= 15π

l = 47.1

Answer:

Can you show a picture? Or like tell us the options?

Answer:

honestly this was the only thing i was ever good at in math.

its kinda fun cuz its like puzzle solving.

Answer:

The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.

Step-by-step explanation:

In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.

Please like and mark brainliest!

Hope it helps!

Answer:

I don't know what those answer choices are but the answer should be: [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

4-2 = 2

3 - (-2) = 5

Put the y values over the x

[tex]\frac{2}{5}[/tex]

A: I think it’s 9(−5+9n+10n2)

Step-by-step explanation:

Answer: if it is -7+10 then it is 3

Answer:

Is it 1.25

I hope the helps!

Answer:

5/4 or decimal- 1.25

Step-by-step explanation:

3/4+5/10

=3/4+5/10

=3/4+1/2

=3/4+2/4

=3+2/4

=5/4

Answer:

No triangle possible

Step-by-step explanation:

The one side is to short to make a triangle

Answer: for b. Step-by-step explanation: The random sample would show multiple outcomes of the carrot growth and the combinations, i believe

Answer:

The change in the scale factor is

✔ 1/3

The change of scale means that 1 inch represented

✔ 8

feet, but now 1 inch represents

✔ 24

feet.

Step-by-step explanation:

If you have a rectangle or square, each of the angles measures 90°. If you have a parallelogram or rhombus, the opposite angles are the same and the consecutive angles are supplementary. For other types of quadrilaterals you may need to add the given angles and then subtract from 360°.

[Also Pic with proof]

The change in the scale factor is

1/3.

The change of scale means that 1 inch represented 8 feet, but now 1 inch represents 24 feet.

If you have a rectangle or rectangular, each of the angles measures 90°. if you have a parallelogram or rhombus, the opposite angles are the same and the consecutive angles are supplementary. For different types of quadrilaterals, you can want to feature the given angles and then subtract from 360°.

The scale factor is a degree for similar figures, who appear the same but have distinctive scales or measures. Assume, the circle looks similar however they might have various radii. The scale factor states the scale by the way which a determined is larger or smaller than the original figure.

Learn more about scale factor here: https://brainly.com/question/10253650

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Answer:

142

Step-by-step explanation:

14x+2

(14)(10)+2

=142

2(7x+1)

2((7)(10)+1)

=142

hope this helped! :]

Answer:

81 m²

Step-by-step explanation:

The area of the figure = area of the rectangle + area of the triangle

= Length*Width + ½*base*height

Length = 10 m

Width = 6 m

base = 6 m

height = 7 m

Thus:

Area = 10*6 + ½*6*7

Area = 60 + 21 = 81 m²

Answer:

The surface area of the green prism is 6.25 times greater than the surface area of the blue prism.

Step-by-step explanation:

The surface area of both prisms consists of six rectangles: top, base, front, back, left side and right side. In terms of surface area, top=base, front=back and left side=right side, so the total surface area for each prism is:

2(base area)+2(back area)+2(side area)

=2((base area)+(back area)+(side area))

Area of blue prism = 2((base area)+(back area)+(side area))

=2((4*2)+(4*10)+(2*10))

=2(8+40+20)

=2(68)

=136 cm²

Area of green prism = 2((base area)+(back area)+(side area))

=2((10*5)+(25*10)+(25*5))

=2(50+250+125)

=2(425)

=850 cm²

850cm² is 6.25 times greater than 136cm² (850/136=6.25), so therefore, the surface area of the green prism is 6.25 times greater than the surface area of the blue prism.