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astra-53 [7]
2 years ago
14

Find two consecutive even integers such that the sum of the larger and three times smaller is 234

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
4 0
X + (x + 2)
x + 2 + 3x = 234 combine like terms
4x + 2 = 234 subtract two to isolate x
4x = 232 divide by four
x = 58

The two numbers are 58 and 60.
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I need help on question b please it hard
Dimas [21]

Answer:

For each line you have to have 3 numbers that would add up to 2 km.

Step-by-step explanation:

For example:

The first line has 1600m and you need to figure out what the other two are. Each line has to add up to 2 km.

<em>1km = 1000m</em>

<em>Hope this helps :)</em>

4 0
2 years ago
A caterer charges a setup fee of $50, plus $20 per person. How much will the caterer charge if 35 people attend the party?
Oduvanchick [21]
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5 0
3 years ago
The area of a rectangle is 27 m”, and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the r
elena-s [515]

Answer:

L = 6 --- Length

W = 4.5 --- Width

Step-by-step explanation:

Given

Let: L = Length; W = Width

Area = 27m^2

L = 2W- 3m

Required

Find the dimensions of the rectangle

Area (A) is calculated as:

A  = L * W

This gives:

27 = (2W - 3) * W

Open bracket

27 = 2W^2 - 3W

Express as a quadratic function

2W^2 - 3W - 27 = 0

Expand

2W^2 + 6W - 9W - 27 = 0

Factorize:

2W(W + 3) - 9(W + 3) = 0

(2W - 9)(W + 3) = 0

This gives:

2W - 9 = 0\ or\ W + 3 = 0

2W = 9 \ or\ W = -3

Width can not be negative.

So:

2W = 9

W = 4.5

Recall that:

L = 2W- 3m

L = 2 * 4.5 - 3

L = 6

7 0
2 years ago
Please help on both! And please put answer and not a website!
marissa [1.9K]

Answer:

1: 55     2: 40

Step-by-step explanation:

For the first problem, by the triangle angle theorm, the three angles in a triangle add up to 180, so

90+35+x=180

125 + x = 180

x = 55

Now, the angle you just found (x = 55) and the exterior angle are supplementary so they also add up to 180

55 + y = 180

y = 125

For the second problem, the two angles in a triangle non-adjacent to the exterior angle are equal to the exterior angle, so

40 + 2x = 3x

x = 40

3 0
2 years ago
What is 35% of $120?
allsm [11]

Answer:

Step-by-step explanation:

 \frac{35}{100} *120\\=7*6\\=42

4 0
3 years ago
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