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sergey [27]
3 years ago
13

6. An integer Pis two thirds of another and their difference is 10. Find the two integers. an integer p is 2/3 of another and th

eir difference is 10 find the two integers ​
Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0

Answer:

20, 30

Step-by-step explanation:

let the intergers be x and y

x = 2/3y

from this eqn, we know that y is larger.

hence, y-x=10

y-2/3y=10

1/3y=10

y=30

x=2/3y =2/3(30) = 20

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solve for each variable i don’t need work shown just the answers please thank you very much i have 2 hours to get this done
ale4655 [162]

Answer:

(a)

x = 18.5

y = 22.5

(b)

x = 10

Step-by-step explanation:

Solving (a):

7x - 19 and 3x + 14 are interior angles.

So:

7x - 19 + 3x +14 = 180

Collect like terms

7x + 3x = 180 - 14 + 19

10x = 185

x = 18.5

7x - 19 and 5y - 2 are equal angles --- corresponding angles

So:

5y - 2 = 7x - 19

Make 5y the subject

5y  = 7x - 19+2

5y  = 7x -17

Make y the subject

y = \frac{1}{5} (7x - 17)

Substitute x = 18.5

y = \frac{1}{5} (7*18.5 - 17)

y = \frac{1}{5} (112.5)

y = 22.5

Solving (b):

The triangle is right-angled.

So:

5x + 3 + 2x + 17 + 90 = 180

Collect Like Terms

5x + 2x = 180 - 90 - 17-3

7x = 70

x = 10

3 0
3 years ago
Whats the answer? ( Khan Academy ) Also Ill give branliest if its correct!
vagabundo [1.1K]

Answer:

option (a) is the answer in think

7 0
2 years ago
Read 2 more answers
1. A researcher collected data from car shoppers about their favorite car color. He asked 250 people about their favorite vehicl
hichkok12 [17]

Answer:

(a) 2% (b) 15

Step-by-step explanation:

(a):

80 - blue (32%)

60 - white (24%)

50 - red (20%)

45 - black (18%)

10 - silver (4%)

Total: 245

5 - other (2%)

(b):

60 - white

45 - black

Difference: 15

4 0
3 years ago
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa
Sladkaya [172]

Answer:

The null hypothesis is H_0: \mu = 2.5.

The alternative hypothesis is H_1: \mu > 2.5

Step-by-step explanation:

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years.

At the null hypothesis, we test if the mean is of 2.5 years, that is:

H_0: \mu = 2.5

A study was then done to see if the mean time has increased in the new century.

At the alternative hypothesis, we test if the mean has increased, that is, if it is above 2.5 years. So

H_1: \mu > 2.5

8 0
3 years ago
Which line fits the data graphed below?
Elis [28]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
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