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arsen [322]
3 years ago
15

Pete and his sister, Sophie, play the game Space Mission Commander on their video game console. Pete has already completed 27 mi

ssions. Sophie has only completed 13 missions. From now on, Pete plans to complete 3 missions per week. Meanwhile, Sophie plans to complete 5 missions per week.
Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0

Step-by-step explanation:

Pete has already completed 27 missions. Pete plans to complete 3 missions per week

Let x represents weeks

Games completed = 3x + 27

Sophie has only completed 13 missions. Sophie plans to complete 5 missions per week.

Games completed = 5x + 13

3x + 27 = 5x + 13

27 - 13 = 5x - 3x

2x = 14

x = 7

By the seventh week, they would have completed equal number of games,

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I really need help<br> If AD = 12 and AC = 4y-36, find the value of y
Mice21 [21]
Notice the tickmarks

AD = DC

now AC, which is the whole length from side to side,
is 4y-36
AD is 12, and since DC is the same as AD, so
DC = 12

AC = AD + DC, or 12 + 12
now, we know AC is also 4y-36

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solve for "y"

8 0
3 years ago
Solve the linear system of equations using the linear combination method.<br> 4x-9y=20<br> 2x-6y=16
maxonik [38]

The solution is (-4,4)

Step-by-step explanation:

Given equations are:

4x-9y = 20\ \ \ \ Eqn1\\2x-6x = 16\ \ \ \ Eqn2

In linear combination method, we have to make coefficients of any one variable opposites by multiplying with an integer

So multiplying 2nd equation by -2

-2(2x-6y=16)\\-4x+6y=-32\ \ \ \ Eqn3

Adding Equation 1 and Equation 3:

4x-9y-4x+12y = 20-32\\3y = -12

Dividing both sides by 3

\frac{3y}{3} = \frac{-12}{3}\\y = -4

Putting y=-4 in equation 1

4x-9(-4) = 20\\4x +36= 20\\4x = 20-36\\4x = -16

Dividing both sides by 4

\frac{4x}{4} = \frac{-16}{4}\\x = -4

Hence,

The solution is (-4,4)

Keywords: Linear combination, linear equations

Learn more about linear combination method at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

3 0
3 years ago
Answer key to party planning
Brut [27]

Answer:

As an event planner, making the right venue decision is critical since it’s often the largest expense and sets the scene for an unforgettable guest experience. Ask this question to get a feel for a candidate’s ability to balance location with factors like capacity, amenities and venue policies while staying perceptive to the client’s priorities and desires.

What to look for in an answer:

Attention to detail

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Ability to prioritize

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8 0
4 years ago
What is 3c-8d=12 for c​
e-lub [12.9K]

Answer: c = 4 + (8/3)d

Step-by-step explanation: Let's isolate c:

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c = 4 + (8/3)d

C is now isolated. Please consider Brainliest.

8 0
2 years ago
Abigail is redecorating her house. A scale drawing of 2 rooms can be seen below. If each 6 cm on the scale drawing equals 12 ft,
bagirrra123 [75]
The complete question in the attached figure

we know that

scale factor r=[dimension scale drawing]/[actual dimension]
r=6/12=0.5 cm/ft
[actual dimension]=[dimension scale]/r

for dimension scale=9 cm
[actual dimension]=[9]/0.5=18 ft

for dimension scale=10 cm
[actual dimension]=[10]/0.5=20 ft

answer
the actual dimensions of Abigail’s house are 18 ft x 20 ft
the area of <span>Abigail’s house is (18*20)=360 ft</span>²

3 0
3 years ago
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