2. Solve for the missing side

It is required to show the work when you got the answer

Answer:

80

Step-by-step explanation:

if you make a ratio table

32ginger ale = 12orange juice

now we now 6x5=20 so we can divide 12 by 2 which would give us 6 and the same with 32 which would give us 16 now you have

16ginger ale = 6 orange juice

and we need 30 orange juice so 6x5= 30 and we multiply 16 by 5 too so 16x5=80 t

therefore

80 ginger ale = 30 orange juice

Answer:

[tex]\sqrt{29[/tex]

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2 = c^2. "a" and "b" represent the side lengths QR and PR, while "c" represents the hypotenuse PQ.

Let's plug in these values:

2^2 + 5^2 = c^2

4 + 25 = c^2

29 = c^2

sqrt 29 = c

Therefore "c" is the square root of 29.

Answer:

My answers is basically 29^2 or [tex]\sqrt{29}[/tex]

Step-by-step explanation:

Step-by-step explanation:

1) option A OR B AS THEY ARE THE SAME

2) option a

Answer: question 1 is b

Question 2 is a

Step-by-step explanation: hope it helps

in question 1 a and b are the same so choose this or this

Answer:

Below.

Step-by-step explanation:

The graph shown is f(x).

3. The graph 3  is the same shaped graph as drawn but moved 3 units to the left.

4. The graph 4  is the same shaped graph as drawn but moved 5 units to the right.

Hope this helps.

Answer:

290 8s the answer because 15 mutiplyed by 8 plus 17 multiplyed by 10 give you 290

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

Given:

height of prism h = 10 in

length of base of triangle b = 8 in

height of triangle h' = 15in

side A of triangle = 17 in

To find:

Surface area of prism = ?

Solution:

[tex]\begin{gathered}Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{15} \times \not{8} \\ Area \: of \: base \: triangle = 60 \: {in}^{2} \end{gathered}[/tex]\\[tex]\fbox{Area \: of \: base \: triangle \: (B) = 60 \: sq.in. }\\\begin{gathered}Perimeter \: of \: base \: triangle = Side A + Height \: h' + base \: b \\ Perimeter \: of \: base \: triangle = 15 + 17 + 8 \: in\\ Perimeter \: of \: base \: triangle = 40 \: in\end{gathered}

[/tex]

[tex]\fbox{Perimeter \: of \: base \: triangle (p) \: = 40 \: in} [/tex]

[tex]\begin{gathered}Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 60+ \: 40 \times 10 \\ Surface \: area \: of \: prism = 120 + 400\\ Surface \: area \: of \: prism = 520 \: {in}^{2} \end{gathered} [/tex]

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

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Answer:

24040.625

Hope this helped! I'm not good at explaining the steps, but this is the answer.

Answer:

Length= 20m, width=30m Area= 600m²

Step-by-step explanation:

The length becomes 8/2 × 5m=20m

the width becomes 12/2 × 5m=30m

Area = length × width

= 20m × 30m

=600m²

Answer:

x = 6

y = 7

Step-by-step explanation:

10x - 8y = 4   ⇒ ( 1 )

-5x + 3y = -9  ⇒ ( 2 )

( 2 ) × 2

2 × ( -5x + 3y = -9 )

-10x + 6y = - 18  ⇒ ( 3 )

( 1 ) + ( 3 )

10x - 8y -10x + 6y = 4 - 18

-2y = - 14

Divide both sides by ( - 2 )

y = 7

Now let us replace y with 7 to find the value of x.

For that, let us use equation ( 1 ).

10x - 8y = 4

10x - 8 × 7 = 4

10x - 56 = 4

10x = 56 + 4

10x = 60

Divide both sides by 10.

x = 6

Answer:

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

10x-8y=4

x=2(2y+1)/5

Substitute.

[tex]\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}[/tex]

Solve.

-y-2=-9

Add by 2 from both sides.

-y-2+2=-9+2

Solve.

-y=-7

Divide by -1 from both sides.

-y/-1=-7/-1

Solve.

Divide the numbers from left to right.

-7/-1=7

y=7

Substitute of y=7.

x=2(2*7+1)/5

PEMDAS stands for:

2(2*7+1)/5

Do parenthesis first.

2*7=14

14+1=15

2(15)/5

Multiply.

2*15=30

Divide.

30/5=6

x=6

I hope this helps you! Let me know if my answer is wrong or not.

I'll write in the format (x;y) where x is the salad dressings amount, and y is the amount of servings.

We can see the line goes through the points (1;2) , (2;4) , (3;6) ...

So, the amount of servings are doubled the amount of salad dressings she need to use. (1 cup every 2 servings, 2 cups every 4 servings, etc.)

-> Leslle used half a cup of salad dressing for every serving of salad (B)

Answer:

B.

Step-by-step explanation:

Remember the first value is called the x-coordinate and the second value is the y-coordinate.

Find the first point the line crosses over.

So let's take the point (2,1).

As you can see that for every 2 servings Leslie uses 1 salad dressing cup,

2 to 1

Now look at the answers,

So you can are ready mark off A since it is not true,

You can mark off C since the line does not cross over points (1,4),

You can mark off D since the line does not cross over points (1,2),

That leaves you with B,

To check if it is true you need to find how much salad dressing cups are in one serving,

To do that you need to divide by 2 on both sides,

2÷2=1

1÷2=[tex]\frac{1}{2}[/tex]

your new rate is 1 to [tex]\frac{1}{2}[/tex]

So B is your answer.

Answer:

61.3 to infinty

Step-by-step explanation:

1. Multiple: 7(8) = 56

2. Multiple: 2(4) = 8

3. Divide: the result of step 2: 3 = 8 : 3 = 2.6666666666667 = 8/43

4. Multiple: the result of step 3: 4 = 8/3

* 4 = 8 · 4/

3 · 1

= 32/

3

5. Subtract: the result of step 1 - the result of step 4 = 56 - 32/3

= 56/1

- 32/3

= 56 · 3/1 · 3

- 32/3

= 168/3

- 32/3

= 168 - 32/3

= 136/3

6. Multiple: 2(8) = 16

7. Add: the result of step 5 + the result of step 6 = 136/3

+ 16 = 136/3

+ 16/1

= 136/3

+ 16 · 3/ 1 · 3

= 136/3

+ 48/3

= 136 + 48/3

= 184/3

Answer:

Median without the outlier: 9

Median with the outlier: 9

Step-by-step explanation:

The outlier here is 1, because it's smaller than most of the values in the data set.

Median: the middle value of a data set

Median without the outlier: 9

7, 8, 8, 9, 9, 10, 10, 10, 10

Median with the outlier: 9

1, 7, 8, 8, 9, 9, 10, 10, 10, 10

9 + 9 = 18

18/2 = 9

Hope this helps!

Answer:

the without the outlier 9

set with with the outlier 9

Step-by-step explanation:

Answer:

B. 14

Step-by-step explanation:

Add 2 to both sides:)

Answer:

19.63 m^2

Step-by-step explanation:

This is an Area=pi r^2 equation so it would be 3.14*2.5^2

Answer:

Step-by-step explanation:

Sin (90 + Ф ) =Cos Ф

135° = 90 + 45

Sin 135° = Sin (90 + 45)

             = Cos 45°

             [tex]= \dfrac{1}{\sqrt{2}}[/tex]

Answer:

Unfortunately I was only able to solve the second question

Step-by-step explanation:

So sorry if I'm wrong but this is what I got:

Volume of a cylinder

V=πr^2h

V=π(4^2)(19)

V=955.04

Lateral S.A.

S.A.=2πrh

S.A.=2π(4)(19)

S.A.=477.52

Total S.A.

S.A.=2πrh+2πr^2

S.A.=2π(4)(19)+2π(4^2)

S.A.=578.05

Answer:

28

Step-by-step explanation:

radius= 14

circumstances of tire=?

Based on given conditions, formulate

circumstances= 2 multiply radius

= 2 multiply by 14

= 28

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Area of whole shape = Area of greater rectangle - area of smaller rectangle

Area of greater rectangle :

[tex]\qquad \sf  \dashrightarrow \:11 \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:110 \: \: ft {}^{2} [/tex]

Area of smaller rectangle :

[tex]\qquad \sf  \dashrightarrow \:7 \times 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:56 \: \: ft {}^{2} [/tex]

Area of composite figure :

[tex]\qquad \sf  \dashrightarrow \:110 \: ft {}^{2} - 56 \: ft {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: {ft}^{2} [/tex]

Answer:

the answer for this question is 1

Step-by-step explanation:

Notice the domain for both function is all real numbers.

So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}[/tex]

Answer:

3x+5=2

3×=2- 5

3x= -3

x=-1

4x-5=7

4x=7+5

4x=12

4x÷4=12÷4

x=3

2x+5=12

2x=12-5

2x=7

2x÷2=7÷2

x=3.5

3x-5=3

3x=3+5

3x=8

3x÷3=8÷3

x=2.6

Answer:

19.8

Step-by-step explanation:

Subtract 130.2 by 110.4

Answer:12 i think

Step-by-step explanation:

Answer:

H= 8 k = 11

Step-by-step explanation:

H= 8 k = 11

sqrt ( x^8 k^11) =  x^4 k^5 sqrt k

Answer:

257mm^2

Step-by-step explanation:

18*(3+15)/2 = 162

4*(15+5) =80

3+5 = 15

total = 257 mm^2

Answer:

Step-by-step explanation:

Area of composite figure:

Shape I:

Shape I is an triangle

base= 3 + 15 + 5 = 23 mm

height =  18 mm

[tex]\boxed{\text{Area of traingle = $\dfrac{1}{2}base*height$}}[/tex]

                          [tex]= \dfrac{1}{2}*18*23\\\\= 9*23\\\\= 207 \ mm^{2}[/tex]

Shape 2:

Shape 2 is an rectangle.

length = 15 + 5 = 20 mm

width = 4 mm

[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]

                             = 20 *4

                             = 80 mm²

Shape 3:

length = 5 mm

widht = 3 mm

Area of shape 3 = 5 * 3 = 15 mm²

Area of the composite shape = 207 + 80 + 15

                                                   = 302 mm²

Answer:

4x - 5y = 25

Step-by-step explanation:

Answer:

Step-by-step explanation: