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EleoNora [17]
3 years ago
14

If three times the smaller of two consecutive integers is added to four times the larger, the result is 67. Find the smaller int

eger.
Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0
3x + 4(x + 1) = 67
7x + 4 = 67
7x = 67-4 = 63
x = 9

The smaller integer is 9.
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what expression represents the following problem: A glass holds 1/ 4 liters of liquid. How many glasses of liquid are in 5 liter
maxonik [38]
20... 5÷ 1/420/ \frac{1}{4}


3 0
4 years ago
What is the perimeter of rectangle with vertices located at (- 3, - 1), (5, - 1), (5, 9) and (- 3, 9) on the coordinate ?
xxMikexx [17]

Answer:

32 units^2

Step-by-step explanation:

Finding the width and the length:

One side = √[(-1 - (-1)^2 + (5 - (-3))^2]

= √(0 +  64)

= 8.

The adjacent side = √(9-9)^2 + (-3-5)^2

= 8.

Perimeter - 4 *8 = 32 units^2.

3 0
3 years ago
Two mechanics worked on a car. the first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. together they
Ksenya-84 [330]

Alright, lets get started.

Suppose first mechanic charges= x

So, second mechanic charges will be = (125 - x) (because total of their rates was 125)

first mechanic worked for 5 hours, and the second mechanic worked for 15 hours and together they charged a total of $1225

Means

5 x + 15 (125-x) = 1225

5 x + 1875 - 15 x  = 1225

1875 - 10 x = 1225

Adding 10 x in both sides

1875 - 10 x + 10 x = 1225 + 10 x \\1875 = 1225 + 10 x

Subtracting 1225 from both sides

1875 - 1225 = 1225  + 10 x - 1225\\650 = 10 x

Dividing 10 in both sides

\frac{650}{10}  =  \frac{10x}{10}

x = 65

For second mecahnics rate = 125 - 65 = 60

Hence The mechanic who worked 5 hours charged $ 65 per hour, the one who worked 15 hours charged $ 60 per hour: Answer

Hope it will help :)

3 0
3 years ago
What is the distance between (–6, 2) and (–6, –15)
nekit [7.7K]

Answer:

17

Step-by-step explanation:

Since the X's are the same, the only distance we need to find is between the two y's

3 0
3 years ago
What is the solution to the following system?
irakobra [83]

Answer:

None?

Step-by-step explanation:

After using the 4 answers using what I think is (x,y,z) none of the answers were true.

8 0
3 years ago
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