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Vikentia [17]
3 years ago
7

Find the values of x and y.

Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

Answer:

C, (x = 100, y = 10)

Step-by-step explanation:

hi again,

(2x - 70) = (x + 30), by the Alternate Exterior Angles

x - 70 = 30

<em>x = 100</em>

<em />

(2x - 70) + 5y = 180, by the Linear Pair Theorem

2(100) - 70 + 5y = 180

200 - 70 + 5y = 180

130 + 5y = 180

5y = 50

<em>y = 10</em>

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19 x 9 short division
Colt1911 [192]

Answer:

170

Step-by-step explanation:

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3 0
2 years ago
A theater has 40 seats in the first row, 43 seats in the second row, 46 seats in the third row, and so on. How many seats are th
iris [78.8K]
94 seats

There are 2 ways to do this one: 

1. 18 x 3 = 54
54 + 40 = 94

2. 40 + 3 + 3 + 3.... and so on. 



Let me know if this was helpful! 
4 0
2 years ago
Read 2 more answers
Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be mode
Rudiy27

Answer:30 minutes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A magnet school program was set up to bring in students from all over the city. With the first 112 students, the magnet program
Galina-37 [17]

Answer

Find out the percentage of students from the north side of the city in the program .

To prove

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

A magnet school program was set up to bring in students from all over the city. With the first 112 students .

the magnet program had 50% from the south side of town, 12.5% from the north side l, and 37.5% from the east side.

12 .5 % is written in the decimal form.

= \frac{12.5}{100}

= 0.125

North side student be = 0.125 × 112

                                     = 14

As given

If 6 more student from the north side and 2 students from the west side side enrolled in the program .

than north side student becomes = 14 + 6

                                                        = 20

Total number of student becomes = 112 + 6 + 2

                                                         = 120

put in the above formula

Percentage =\frac{20\times100}{120}

Percentage =\frac{2000}{120}

                          = 16.66% (approx)

Therefore  16.66% (approx) students from the north side of the city in the program .


4 0
3 years ago
What single percentage change is equivalent to a 15% decrease followed by a 16% decrease?
Tomtit [17]

Answer:

Decrease of 28.6%.

Step-by-step explanation:

The multiplier for a increase of a% is 1 + a/100.

The multiplier for a decrease of b% is 1 - b/100.

Decrease of 15%

1 - 15/100 = 1 - 0.15 = 0.85

Decrease of 16%

1 - 16/100 = 1 - 0.16 = 0.84

Both:

0.85*0.84 = 0.714

Change:

The initial percentage is 100% = 1.

0.714 - 1 = -0.286

Negative, so a decrease

The answer is a decrease of 28.6%.

8 0
2 years ago
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