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SVEN [57.7K]
3 years ago
12

The difference between two numbers is 12. Four times the larger number decreased by 25 equals 48 increased by 3 times the smalle

r number. Find the numbers.
Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

Step-by-step explanation:

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The difference between two numbers is 12.  Three times the larger number is seven times the smaller.  What are the two numbers? 

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JEEW-M  | CERTIFIED EDUCATOR

Let us say the two numbers are x and y and x>y.

The data we have are;

Difference between the numbers are 12.

3 times larger number is equal to 7 times smaller number.

Then we can write;

 ----(1)

 ----(2)

 

From (1) we can say 

Then substituting  to (2) gives;





      

        

 

Then;





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Two mechanics worked on the car the first mechanic work for five hours in a sec mechanic work for 15 hours together the tires a
FrozenT [24]

Answer:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

So, we have:

x + y = 160

The total earnings is: $1850, so we have:

5x + 15y = 1850

Required

Determine the rate of each

The equations are:

x + y = 160 --- (1)

5x + 15y = 1850 --- (2)

Divide (2) through by 5

x + 3y = 370 --- (3)

Subtract (1) from (3)

x - x + 3y - y = 370 - 160

2y = 210

Divide through by 2

y = \frac{210}{2}

y = 105

Substitute 105 for y in (1)

x + y = 160

Make x the subject

x = 160 - y

Substitute 105 for y

x = 160 - 105

x = 55

Hence:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

7 0
3 years ago
PLEASE ANSWERRRRRRR! THANKS!!!!!!!!!!!!!!!!!!!!!!<br><br> Solve for x. <br><br> 57 = 3x + 12
Blizzard [7]

57-12= 3x+12-12

45=3x

Divide by 3

x=15

Check answer

57= 3(15)+12

57=57

Answer is correct.

x= 15

6 0
3 years ago
Elizabeth works for Picasso paint supplies. Her annual salary is $72,580. What is Elizabeth’s annual social security deduction?
Nikolay [14]

Social Security's Old-Age, Survivors, and Disability Insurance (OASDI) tax rate for wages paid in 2018 is set by the state at 6.2 % for employees and employers, each. An individual with wages equal to or larger than $128,400 would contribute $7,960.80 to the OASDI program. Since Elizabeth receives a salary of $72,580 from Picasso paint supplies, a lot lower than <span>$128,400, there will be no deduction. </span>

8 0
3 years ago
What is 9 simplified​
grin007 [14]

Answer:

9 on its own can not be simplified. It needs to be a fraction.

7 0
3 years ago
110 120 130 140 150 160
ycow [4]

Answer:

Step-by-step explanation:

Given the data:

Weight ____Height

110 _______ 120

130 _______140

150 _______160

From the data given, we can conclude that that there exist a positive relationship between weight and height. As weight increases, the height increases and vice versa. The weight variable and height variable are positively correlated and thus an individual with a high weight value will have a high height value.

7 0
3 years ago
Read 2 more answers
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