Maggie and 6 friends went to Lake Tahoe for a winter weekend. Maggie made 4 cups of hot chocolate. Everyone, including, Maggie, wants an equal amount of all the hot chocolate.


Type the fraction that shows how much hot chocolate each person should get.

Here the height and length are the sides of the rectangular wall and we have to find the area.

Area of rectangle is given by:

[tex] = l \times b[/tex]

where l is the length and b is the breadth/width according to the question. Plugging the given values:

[tex] = 110 \times 96 \: {inch}^{2} [/tex]

[tex] = 10560 \: {inch}^{2} [/tex]

The area of the wall is 10560 inch²

Answer:

x = 3

Step-by-step explanation:

3x - X - 9 = 3(2 - x)  (Given)

2x - 9 = 3(2 - x) (combine like terms)

2x - 9 = 6 - 3x (distributive property of equality)

5x = 15 (addition property of equality)

x = 3 (division property of equality)

Ace

Answer:

Hydrogen = 13.4

Oxygen = 85.76

Carbon =  26.8

Step-by-step explanation:

H= 13.4

When you multiply by 1/10 all you have to do is move the decimal point to the LEFT.

So... 134←. = 13.4

_______________________________________________________

O= 85.76

134×[tex]\frac{16}{25}[/tex]=85.76

________________________________________________________

C= 26.8

134×[tex]\frac{1}{5}[/tex]=26.8

Answer:

the answer is 60/100 60%

Step-by-step explanation:

Answer:

Step-by-step explanation:

remember when we divide 2 fraction, we will multiply the first one with the reciprocal of the second

(5/12)*(- 6/1)=-30/12= - 5/2= -2 1/2

look at the image to figure out how to solve this!!

good luck, and have a good day :]

Answer: 12 inches

Step-by-step explanation: 1:10

10:100

12:120

Yeah So each inches is 10 miles so if you use 12 inches then you get 120 miles in the Map that’s my explanation, so try to rewrite your question cause it’s kinda messed up

Answer:

1. 1 cup  of yellow 17.5 cups of blue 2. 4 cups of yellow 70 cups of blue

3. 2 cups of yellow 40 cups of blue 4. 2 cups of yellow 30 cups of blue

Step-by-step explanation:

1. to get same shade keep ratios the same but divide by 2 for smaller amount

2/2 = 1 and 35 /2 = 17.5

2. similar to 1. except multiply by 2

3. use same yellow amount but more blue

4. use same yellow but less blue

Answer:

It would take the apprentice 14 hours to make the fireplace on his own.

Step-by-step explanation:

Let x represent the hours it takes the bricklayer to make a fireplace on his own and x + 10 represent the hours it takes the bricklayer's apprentice to make a fireplace on his own.

7/(x + 10) + 2/x = 1

7/(x+10) represents the fraction of the fireplace the bricklayer's apprentice made (total amount of time the bricklayer's apprentice worked on the fireplace/time it takes the bricklayer's apprentice to make a fire place on his own) while 2/x represents the fraction of the fireplace the bricklayer made (total amount of time the bricklayer worked on the fireplace/time it takes the bricklayer to make a fire place on his own). The 1 on the right side of the equation represents the number of fireplaces they made in that time.

Multiply both sides of the equation by x(x + 10) to get rid of the denominators:

x(x + 10)[7/(x + 10) + 2/x] = x(x + 10)1

x(x + 10)[7/(x + 10)] + x(x + 10)(2/x) = x(x + 10)

7x + 2(x + 10) = x² + 10x

7x + 2x + 20 = x² + 10x

Gather all the terms to one side of the equation:

x² + 10x - 7x - 2x - 20 = 0

x² + x - 20 = 0

Factoring the simplified equation:

(x + 5)(x - 4) = 0

Solving for each factor:

When x + 5 = 0,

x = -5

When x - 4 = 0,

x = 4

Since a negative solution wouldn't make sense for this question, it would take the bricklayer 4 hours to complete the fireplace on his own.

Substituting x = 4 into x + 10 to find out how long it would take the apprentice to make the fireplace on his own:

x + 10 = 4 + 10 = 14

Therefore, it would take the apprentice 14 hours to make the fireplace on his own.

Answer:

x^2-4/7x-12/49=0

x= 6/7 and -2/7

Step-by-step explanation:

Answer:

3 seven point touchdowns

Step-by-step explanation:

x=5 pointn

y=7point

x+y=13

5x+7y=71

solve

multiply first equaiton by -5 and add

-5x-5y=-65

5x+7y=71 +

0x+2y=6

2y=6

divide 2

y=3

sub

x+y=13

x+3=13

x=10

10 five point touchdowns

3 seven point touchdowns

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \sf{4x - 3y = 19}[/tex] ••••• equation ( i )

[tex] \sf{2x + 3y = 23}[/tex] ••••• equation ( ii )

The coefficients of y are the same in both equation but the sign of 3y of equation ( i ) differs from the equation ( ii ). So , we add one equation from the other to eliminate 3y.

Adding equation ( i ) and ( ii ) , we get :

[tex] \sf{4x \: \cancel{ - 3y}} = 19[/tex]

[tex] \sf{2x \: \cancel{ \: + 3y}} = 23[/tex]

_________________

[tex] \sf{6x \: \: \: \: \: = \: \: \: 42 }[/tex]

Solve for x :

⟿ [tex] \sf{ \frac{6x}{6} = \frac{42}{6}} [/tex]

⟿ [tex] \boxed{ \sf{x = 7}}[/tex]

Now , substituting the value of x in equation ( ii ) , we get ( Remember : you can substitute the value of x in any of the equation ) :

[tex] \sf{2x + 3y = 23}[/tex]

⟿ [tex] \sf{2 \times 7 + 3y = 23}[/tex]

⟿ [tex] \sf{14 + 3y = 23}[/tex]

⟿ [tex] \sf{3y = 23 - 14}[/tex]

⟿ [tex] \sf{3y = 9}[/tex]

⟿ [tex] \sf{ \frac{3y}{3 } = \frac{9}{3}} [/tex]

⟿ [tex] \boxed{ \sf{y = 3}}[/tex]

[tex] \red{ \boxed{\boxed{ \tt{☥ \: Our \:final \: answer :x = 7 \: and \: y = 3}}}}[/tex]

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✑[tex] \underline{ \underline{ \sf{learn \: more }}}: [/tex]

https://brainly.com/question/20487855?exp=27-1

Hope I helped ! ツ

Have a wonderful day / night ♡

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Answer:

The cube of [tex](x+2)^3 \:is\:\mathbf{(x+2)(x^2-2x+4)}[/tex]

Step-by-step explanation:

We need to find cube of [tex](x+2)^3[/tex]

It can be found using formula: [tex](a+b)^3=(a+b)(a^2-ab+b^2)[/tex]

In the question given:

We have a = x and b = 2

Now finding cube using the above formula:

[tex](x+2)^3\\=(x+2)(x^2-(x)(2)+(2)^2)\\=(x+2)(x^2-2x+4)[/tex]

So, the cube of [tex](x+2)^3 \:is\:\mathbf{(x+2)(x^2-2x+4)}[/tex]

Answer:

[tex]p = 4 \times 6 + 3 \times 5 - 19 = 20[/tex]

Step-by-step explanation:

Number of packs available with Alena initially = 4

Number of gums in each pack = 6

Total number of gums initially present with Alena can be found by multiplying the number of packs with the number of packs.

i.e. number of gums initially present with Alena = 4 [tex]\times[/tex] 6 = 24

Number of packs available with Hugh initially = 3

Number of gums in each pack = 5

Total number of gums initially present with Hugh can be found by multiplying the number of packs with the number of packs.

i.e. number of gums initially present with Hugh = 3 [tex]\times[/tex] 5 = 15

Total number of gums present initially = 24 + 15 = 39

Number of gums left with Alena and Hugh = 19

The number of gums chewed can be found by subtracting the number of gums left with them from the number of gums initially present with them.

i.e. Number of gums chewed, [tex]p[/tex] = 39 - 19 = 20

The equation that can be used is:

[tex]p = 4 \times 6 + 3 \times 5 - 19 = 20[/tex]

Answer: See explanation

Step-by-step explanation:

1. (x + 6)(x - 4)

x (x - 4) + 6 (x - 4)

x² - 4x + 6x - 24

x² + 2x - 24

2. (2x + 5)(x - 3)

2x (x - 3) + 5 (x - 3)

2x² - 6x + 5x - 15

2x² - x - 15

3. (3x + 2)(2x + 5)

3x (2x + 5) + 2 (2x + 5)

6x² + 15x + 4x + 10

6x² + 19x + 10

4. (2x - 1)(x - 5)

2x (x - 5) + -1 (x - 5)

2x² - 10x + -x + 5

2x² - 10x - x + 5

2x² - 11x + 5

Hope that helped!

Answer:

0.45

Step-by-step explanation:

you have to divide 5.40 by 12

Answer:

We conclude that -1 = 0 is false, therefore the system of equations has no solution.

Step-by-step explanation:

Given the system of equations

y = – 4x + 6

y = – 4x + 5

solving the system of the equations

[tex]\begin{bmatrix}y=-4x+6\\ y=-4x+5\end{bmatrix}[/tex]

Substitute y = -4x+5

[tex]\begin{bmatrix}-4x+5=-4x+6\end{bmatrix}[/tex]

Refine – 4x + 5 = – 4x + 6

-1 = 0

FALSE!

NO SOLUTION!

We conclude that -1 = 0 is false, therefore the system of equations has no solution.

Answer:

x,y,z=4,3,-4

Step-by-step explanation:

2x+4y-6x=44   =    x+2y-3z=22

x+2y-3z=22

x+2y+3z=-2

x+2y-3z=22

3x-4y+4z=-16

x+2y-3z=22         ------>

                                         2x+4y=20

x+2y+3z=-2          ------>

x+2y-3z=22                      ------>

                                                        13x-4y=40

3x-4y+4z=-16                    ------->

2x+4y=20

13x-4y=40

y=3

x=4

4+2x3-3z=22

z=-4

(x,y,z)=(4,3,-4)

2x4+4x3-6x(-4)=44

4+2x3+3x(-4)=-2

44=44

-2=-2

-16=-16

(x,y,z)=(4,3,-4)

I am so sorry if it is incorrect I  tried :<

Answer:

36

Step-by-step explanation:

let amount of money for cheese scone be x

plain scone is 3x and fruit scone is 4x add them all up and it is 8x

96/8 is 12

then that means x=12 and plain scone is 12 times 3 which is 36

Answer:

6

Step-by-step explanation:

add 18 on both sides

7w = 42

divide by 7 on both sides

w = 6

Answer:

Step-by-step explanation:

7w-18=24

7w= 24+18

w=42:7

w=6

Answer: D (5.5,4.3)

Step-by-step explanation:

Answer:

D: 5.5, 4.3

Step-by-step explanation:

yes

Answer:

33.33%

Step-by-step explanation:

Percent change equation is:

(x2 - x1) / x1 * 100%

where x1 is initial and x2 is final

Answer:

160 pins

Step-by-step explanation:

Answer:

52° and 128°

Step-by-step explanation:

The sum of the angles in a triangle is 180°

So to find the angles, the easiest thing to do is to use that fact.

There is one angle missing in the triangle shown, so to find it you need to subtract (5x-2)° from 180° since the angle is located on a line.

Simplifying that, you get 180°-(5x-2)°.

Now you can use the fact at the top of these instructions.

So you get the equation: 180°=2x°+76°+180°-(5x-2)°

Solving this equation, you get x=26

Plug x into the values that have x in the picture, and you get 52° and 128°

Answer:

Step-by-step explanation:

.

Answer:

x=28

Step-by-step explanation:

sum of all angles im a triangle = 180°

(2x+5) + (4x+10) + (x-31) = 180

7x=196

x=28

Answer:

x = 28°

Step-by-step explanation:

Sum of a triangle is equal to 180°. Firstly you need to form an equation. Add all the angles which equals to 180°.

2x + 5 + 4x + 10 + x - 31 = 180°

Now simply and find the value of x. Add all the x terms and whole numbers.

7x + 5 + 10 - 31 = 180°

7x + 15 - 31 = 180°

7x - 16 = 180°

7x = 180° + 16

7x = 196

x = 196 ÷ 7

x = 28°

So the angles are:

Angle A = 2x + 5

2 x 28 + 5 = 61°

Angle B = 4x + 10

4 x 28 + 10 = 122°

Angle C = x - 31

28 - 31 = -3°

Answer:

46. f(g(x)) =doesn't exist

because from the range of g(x) there is none in the domain of f(x)

48.f(g(x)) = {(0,2), (1,1)}

Answer:

It's simple the answer is 8%

Step-by-step explanation:

$. 36/ $4.50 × 100 = 8%

Answer:

8%

Step-by-step explanation:

Sales price x sales tax rate = sales tax

4.50 x sales tax rate = .36

sales tax rate = .36/4.50

sales tax rate = .08 or 8%