In winter, the price of apples suddenly went up by$0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88. Write an equation to determine the original price per pound (p) and then find the original price per pound.

Answers

Answer 1

Answer:

From the information given, the original price per pound was increased by $ 0.75
Let the original price be x, so the new price is x + 0.75

Sam bought 3 pounds of apples at new price and it cost him 5.88

so we form an equation:

3 (x + 0.75) = 5.88

3x + 2.25 = 5.88

3x = 5.88 - 2.25

3x = 3.63

x = 3.63 / 3

x = 1.21

Therefore the original price per pound is 1.21 dollars

Answer 2

Answer:

Answer:

1.21=x

Step-by-step explanation:

3 (x + 0.75) = 5.88

then 3x + 2.25 = 5.88

then 3x = 5.88 - 2.25

to 3x = 3.63

and last of allx = 3.63 / 3

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What is the solution to the equation 7(a – 10) = 13 – 2(2a 3)?

How to solve 3t - 7 = 5t, then 6t=

Answers

3t-7=5t
5t-3t=-7
2t=-7
t=-7/2

6t= 6(-7/2)
6t=3*(-7)
6t=-21

Answer:

Step-by-step explanation:

5T-3T= -7

THEN, 2T =-7

THEN, DIVIDE

T= 7/2

THEN,

6T= 6(-7/2)

6T= 3(-7)

6T= (21)

The new building in the financial district is 245 feet taller than the clock tower.Let h represent the height of the clock tower.Write an expression for the height of the new building.

Answers

Answer: h + 245 = new building height (x)

Step-by-step explanation: Since the new building is 245 feet taller than the clock tower, adding the clock tower (h) and 245 feet, will find you the height of the new building

If x = 10, y = 1, and z = 5.3, then x(5-y) 5.3 =

Answers

x(5 - y) + 5.3 = 10(5 - 1) + 5.3 = 10(4) + 5.3 = 40 + 5.3 = 45.3

y=-3x+5

5x - 4y= -3

solvining systems of equations by substitution

Answers

$\left\{\begin{array}{ccc}y=-3x+5\n5x-4y=-3\end{array}\right\n\n\nsubstitute\n\n5x-4(-3x+5)=-3\n5x+12x-20=-3\n17x-20=-3\n17x=-3+20\n17x=17\ \ \ \ /:17\nx=1\n\ny=-3\cdot1+5=-3+5=2\n\n \left\{\begin{array}{ccc}x=1\ny=2\end{array}\right$

A square has a perimeter of 64 inches What is the length of one side if the square?
What is the area of the square??

Answers

The length of each side is 32

The area is 256

The length is 16

The area is 256

Write an equation of the line shown. Then use the equation to find the value of x when y=70.

Answers

Answer:

x = 9

Step-by-step explanation:

The slope would be 6

Y -int would be 16

Through this we can find out that the slope-intercept form is

y = 6x + 16

insert 70 into y

solve for x

70 = 6x + 16

54 = 6x

9 = x

The equation of the line is y = 4x + 18 and the value of x is 13

How to determine the equation of the line

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Using the points, we have

m + c = 22

4m + c = 40

When evaluated, we have

3m = 12

m = 4

So, we have

4 + c = 22

c = 18

Next, we have

y = 4x + 18

When y = 70, we have

4x + 18 = 70

Evaluate

x = 13

Hence, the value of x is 13