The sum of two numbers is 54 and the difference is 12 . what are the numbers?

Answers

Answer 1
x + y = 54

x - y = 12

x = 33

y = 21

33 + 21 = 54

33 - 21 = 12

Hope this helps!

Related Questions

write an equation of the line that passes through the given point(-2,5) and is parallel to the given line 2y=4x-6

Answers

y=2x+b

substitute -2 for x and 5 for y
5=2(-2)+b4

Solve for b
b=9

The equation is 
y=2x+9

Sam packed 42kg of rice into one big bag and 6 small ones which are of the same size. the big bag contained 3/7 of the rice. how many kilograms of rice did each small bag contained?

Answers

if the big bag contained 3/7 of the rice, then the smaller bags contained 4/7.
so the smaller bags contained : 4/7(42) = 168/7 = 24 kg.....and their are 6 small bags...so each bag contained : 24/6 = 4 kg per bag <==

A tennis supply store pays a wholesaler 90 for a tennis racquet and sells it for 144 what is the markup rate

Answers

uh i dont know if its multiplication or subtraction

sylvie finds the solution to the system of equations by graphing.

y=2/3x+1 and y=-2/3x-1

which graph shows the solution to sylvie’s system of equations?

a) graph 1
b) graph 2
c) graph 3
d) graph 4

Answers

c) graph 3
Point 3,3 satisfies y=2/3x+1 

Answer:

solution is (-1.5,0)

Graph 3

Step-by-step explanation:

[tex]y=\frac{2}{3}x+1[/tex]and [tex]y=-\frac{2}{3}x-1[/tex]

In the first equation [tex]y=\frac{2}{3}x+1[/tex]

slope = 2/3 and y intercept is 1

Lets start with graphing y intercept +1  

then we slope , move 2 units up and 3 units to the right. stop at (3,3)

Now we graph the second equation

[tex]y=-\frac{2}{3}x-1[/tex]

slope = -2/3 and y intercept is -1

Lets start with graphing y intercept -1  

then we slope , move 2 units down and 3 units to the right. stop at (3,-3)

both graph intersects at a point (-1.5,0)

The perimeter of a rectangle is 36 inches, and the area is 65 square inches. find the length and width of the rectangle.

Answers

With a perimeter of 36, and a known width of 5, that means the length is 13.  This makes the area 65.

Perimeter = (2 x Length) + (2 x Width)Width = [Perimeter - (2 x Length)]/2= [36 -(2 x 13)]/2= (36 - 26)/2= 10/2= 5 inches
Area = Length x Width= 13 x 5 = 65 square inches

five cakes cost £4.00 how much do 7 cost

Answers

Greetings!

We can solve this by creating an algebraic equation.
[tex]5/4=7/x[/tex]
Cross Multiply.
[tex]5*x=4*7[/tex]
[tex]5x=28[/tex]
Divide both sides by 5.
[tex](5x)/5=(28)/5[/tex]
The Answer Is:
[tex]x=5.6[/tex]

Seven cakes would cost $5.60.

Hope this helps.
-Benjamin

Write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).

Answers

y-(-5) = -3(x-4)
y+5= -3x +12
y= -3x +7


In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.

Answers

Jim is 6 / Harry is 2 

In 4 years Harry will be 6 
In 2 years Jim will be 8 and Harry will be 4 which is twice as much Harry's age.


hope this helps!

Answer:  The present age of Harry is 2 years and that of Jim is 6 years.

Step-by-step explanation:  Given that in 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be.

We are to find the present ages of Harry and Jim.

Let x and y represents the present ages of Harry and Jim respectively.

Then, according to the given information, we have

[tex]x+4=y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y+2=2(x+2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

Substituting the value of y from equation (i) in equation (ii), we get

[tex]y+2=2x+4\\\\\Rightarrow x+4+2=2x+4\\\\\Rightarrow 2x-x=2\\\\\Rightarrow x=2.[/tex]

From equation (i), we get

[tex]y=x+4=2+4=6.[/tex]

Thus, the present age of Harry is 2 years and that of Jim is 6 years.

answer math question, 50 pts for brainliest

Answers

slope = (71.75 - 41)/(7 - 4) = 30.75 /3 = 10.25

answer is B.
the slope is 10.25. This means that Dante earns $10.25 each hour

71.75-41 = 30.75

7-4=3

30.75 / 3 =10.25

 slope is 10.25

 Answer is B

Evan washes two types of vehicles. It takes him 30 minutes to wash a car and 40 minutes to wash a truck. He charges $12 to wash a car and $15 to wash a truck. In 270 minutes, Evan made $105 washing cars and trucks. How many trucks did Evan wash? 2 trucks 3 trucks 4 trucks 5 trucks

Answers

The correct answer is 3 trucks.
The answer is 3 trucks

To rent a certain meeting room, a college charges a reservation fee of
$
31

and an additional fee of
$
6.60

per hour. The history club wants to spend at most
$
77.20

on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use
t

for the number of hours the meeting room is rented, and solve your inequality for
t

.
thank you for your help =)

Answers

31 + 6.60h <=77.20

6.60h <= 46.20

46.20/6.60 = 7

 they can rent up to 7 hours

A family paid 28,800 as a down payment for a home if this represents 16% of the price of the home find the price of the home

Answers

divide the down payment by the percentage

28,800 / 0.16 = 180,000

 the price of the home is $180,000

To get the price of their home you have to divide the down payment by the percentage to get your answer. 

28,800 ÷ 0.16 = 180,000

 So the price of their home is $180,000.

What is the shape of a parallel cross section of a sphere?

Answers

The answer is a circle. Hope this helped :)
a sphere is round so when you take a cross section it would be a circle

What is the correct evaluation of 3x2 + 4x - 2y2 + 4y + 5, when x is equal to -1 and y is equal to 5?

Answers

Final answer:

The expression 3x^2 + 4x - 2y^2 + 4y + 5 evaluates to -26 when x = -1 and y = 5.

Explanation:

The evaluation of the expression 3x2 + 4x - 2y2 + 4y + 5 when x is equal to -1 and y is equal to 5 is calculated by substituting these values into the equation.

First, substitute x = -1 into 3x2 + 4x, which gives 3(-1)2 + 4(-1) = 3 * 1 - 4 = 3 - 4 = -1.Next, substitute y = 5 into -2y2 + 4y, which gives -2(5)2 + 4*5 = -2 * 25 + 20 = -50 + 20 = -30.Add up the results from step 1 and step 2, and include the constant 5 from the original expression to find the final result: -1 - 30 + 5 = -26.

Therefore, the correct evaluation of the expression when x = -1 and y = 5 is -26.

Find two consecutive positive even integers whose product is 168

Answers

Hello There!

The integers you are looking for are 12 and 14.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

Terms and coefficients of 7p - 3r + 6 - 5s

Answers

Final answer:

The terms and coefficients of the expression 7p - 3r + 6 - 5s are 7p, -3r, 6, and -5s, with coefficients of 7, -3, no coefficient, and -5 respectively.

Explanation:

The terms and coefficients of the expression 7p - 3r + 6 - 5s are:

The term 7p has a coefficient of 7.The term -3r has a coefficient of -3.The term 6 is a constant and does not have a coefficient.The term -5s has a coefficient of -5.

Learn more about Terms and Coefficients here:

https://brainly.com/question/23992956

#SPJ12

The measures of two complementary angles are in the ratio of 5:7. what is the measure of the smaller angle?

Answers

Final answer:

To find the measure of the smaller angle with a ratio of 5:7 in two complementary angles, set up an equation based on the sum of 90 degrees, leading to a solution where the smaller angle measures 37.5 degrees.

Explanation:

The question asks to find the measure of the smaller angle when two complementary angles have a ratio of 5:7. To solve this problem, we recall that complementary angles sum up to 90 degrees. Since the angles are in a ratio of 5:7, we can denote the measures of the smaller and larger angles as 5x and 7x, respectively.

By combining these ratios, we have 5x + 7x = 90 degrees, which simplifies to 12x = 90 degrees. Solving for x gives us x = 90 / 12 = 7.5. Therefore, the measure of the smaller angle is 5x = 5 × 7.5 = 37.5 degrees.

Using synthetic division, what is the quotient (2x3 − 2x − 12) ÷ (x − 2)? 2x2 + 4x + 6 2x2 − 4x + 6 2x2 + 4x − 6 2x2 + 4x − 6 + 1 over the quantity of x minus 2

Answers

The answer to your question would be 2x^2+4x+6

Answer:

[tex]\text{The quotient is }2x^2+4x+6[/tex]

Step-by-step explanation:

Given the dividend and divisor we have to find the remainder using synthetic division.

The given polynomial [tex]2x^3-2x-12[/tex] is divided by (x-2).

Step 1: Set up the synthetic division.

The dividend goes on the inside of the box.

Step 2:  Bring down the leading coefficient to the bottom row.

Step 3:  Multiply c i.e 2 by the value just written on the bottom row.

Step 4:  Add the column created in step 3 and  write the sum in the bottom row.

Repeat steps 1-4 until the last column.

From the last row the remainder becomes

[tex]2x^2+4x+6[/tex]

Hence, option A is correct.

 

You eat 3/10 of a pack of hotdogs, your friend eats 1/5 of the pack of hotdogs. what fraction of the hotdogs did you and your friend eat?

Answers

you and your friend ate 1/2 a pack of hotdogs

3/10 + 1/5

(1/5 = 2/10)

3/10+2/10 =5/10 = 1/2

Solve each data for x: (a) a rectangle has (2x + 1) and (x +2) as length and width. Its area is 77 (b.) a triangle has (2x+2) and (x+3) as base and height. Its area is 35

Answers

area of a rectangle: A= Length*width
(2x+1)(x+2)=77
2x^2+4x+x+2=77
2x^2+5x+2=77
2x^2+5x-75=0
(x-5)(2x+15)=0
x=5 or x=-7.5
Length cannot be negative, so x=5 only
the length is 11, the width is 7
Next, let's look at the triangle.
Area of a triangle: A=1/2 of base*height
(1/2)(2x+2)(x+3)=35
2x^2+8x+6=70
2x^2+8x-64=0
x^2+4x-32=0
(x-4)(x+8)=0
x=4
the base is 10, the height is 7

The leg of a right triangle is 3 units and the hypotenuse is 7 units. What is the length, in units, of the other leg of the triangle?

4
Square root of 40
Square root of 58
10

Answers

7^2 = 3^2 +x^2

49 = 9 +x^2

x^2 = 49-9 =40

x = square root of 40

Answer:

the square root of 40 is the answer your looking for

Step-by-step explanation:



What equation is graphed in this figure?

A.y-4=-1/3(x+2)
B.y-3=1/3(x+1)
C.y+2=-3(x-1)
D.y-5=3(x-1)

Answers

Hello there!

The correct answer is option C

--------------------------------------

Graph using the slope and y- intercept

Slope: -3
Y-intercept: 1

Good luck with your studies!

What is the midpoint m given p(-1, 2) and q(-2, -4)?

Answers

Midpoint = x1+x2/2 , y1+y2,2
= -1 + -2/2 , 2 + (-4)/2 
= -3/2,-1 
= -1.5, -1 

Find the value of y in the equation

Answers

We want to find y from the equation
[tex] \frac{3}{y-2} =8[/tex]

Multiply each side by (y - 2).
[tex](y-2).( \frac{3}{y-2)}) = 8(y-2) [/tex]
Note that (y-2) in the numerator and denominator cancel out on the left side.
Therefore
3 = 8(y - 2)
3 = 8y - 16
Add 16  to each side.
3 + 16 = 8y - 16 + 16
19 = 8y
Divideach side by 8.
19/8 = y

Answer: [tex]y= \frac{19}{8} [/tex]

The sum of a number and its reciprocal is 13/6. find the number

Answers

suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2

write 25.784 in expanded form

Answers

No expanded form is when all the numbers are broke up
I will be writing the 3 different types of expanded form's

Expanded Notation Form: 

20+5 + 0.7 + 0.08

Expanded Factors Form:
 2 × 10 + 5 × 1 + 7 × 0.1 + 8 × 0.01 + 4 × 0.001

Expanded Exponential Form:

2 × 101 + 5 × 100 + 7 × 10-1 + 8 × 10-2 + 4 × 10-3

Word Form:

twenty-five and seven hundred eighty-four thousandths

evaluate g(x)=3x+1 over the domain of g, {0,1,2,3}. What is the range of g?

Answers

You can do a table like this:

x        g(x) = 3x + 1

0        3(0) + 1 = 0 + 1 = 1

1        3(1) + 1 = 3 + 1 = 4

2        3(2) + 1 = 6 + 1 = 7

3        3(3) + 1 = 9 + 1 = 10

Then, the range is {1, 4, 7, 10}

Remember, the domain is the set of x values for which the function is defined, and the range is the set of images.

Answer: {1, 4, 7, 10}

is -22 an irrational number???

Answers

-22 is not an irrational number     





no its a rational number

MATH HELP PLEASE !!!!!!!!!

Answers

3.14 *2r = 157

divide both sides by 3.14

2r = 157/3.14 =50

2r=50

divide both sides by 2

r = 50/2 =25

r = 25

In an equilateral triangle, what is the relationship between the length of a side and the perimeter?

Answers

1:3
If each side is x, the the perimeter is 3x.  x/3x = 1/3

Answer:

1:3

If each side is x, the the perimeter is 3x.  x/3x = 1/3

Step-by-step explanation:

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