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2 years ago

A pair of sneakers is on sale for $60. This is 80% of the original price. What 2

Mathematics

1 answer:

Leto [7]2 years ago

3 0

Answer:

$75

Step-by-step explanation:

let the original price be x

then,

80% of x = 60

80/100 of x = 60

therefore x = 75

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Arjun and Jessica each improved their yards by planting daylilies and shrubs. They bought their

Anvisha [2.4K]

Hi there! Let me know if you have questions about my answer:

One shrub is $11.

One daylily is $4.

Step-by-step explanation:

To find the cost of each item, write a system of equations, one equation for what each person bought, and solve for each variable.

Define your variables.

let 'd' be the cost of one daylily

let 'r' be the cost of one shrub

Create a system using the variables and information from the question.

Write an equation for what Arjun bought:

5d + 7r = 97 5 daylilies, 7 shrubs, totaling $97

Write an equation for what Jessica bought:

2d + 11r = 129 2 daylilies, 11 shrubs, totaling $129

Solve the system.

I will solve the system algebraically, using the substitution method. Isolate one variable in one of the equations.

I will isolate 'd' in Jessica's equation:

$2d + 11r = 129$ Start with Jessica's equation

$\frac{2d + 11r}{2} = \frac{129}{2}$ Divide everything in the equation by 2

$d + \frac{11r}{2} = \frac{129}{2}$ Simplify

$d = \frac{129}{2} - \frac{11r}{2}$ Isolate 'd' by subtracting $\frac{11r}{2}$ from both sides.

Now you have an expression for 'd'.

Substitute Arjun's equation with the expression for 'd'. Solve for 'r' to find the cost of one shrub.

$5d + 7r = 97$ Start with Arjun's equation

$5(\frac{129}{2} - \frac{11r}{2}) + 7r = 97$ Substitute 'd' for $d = \frac{129}{2} - \frac{11r}{2}$

$\frac{5*129}{2} - \frac{5*11r}{2} + 7r = 97$ Distribute the 5

$\frac{645}{2} - \frac{55r}{2} + 7r = 97$ Simplify the numerators

$\frac{645}{2} - \frac{55r}{2} + \frac{14r}{2} = 97$ Change 7r to a fraction over 2

$\frac{645}{2} - \frac{41r}{2} = 97$ Combine like terms, the terms with 'r'

$\frac{645-41r}{2} = 97$ Simplify

$645-41r = 194$ Multiply both sides by 2

$-41r = 194-645$ Subtract 645 from both sides

$-41r = -451$ Divide both sides by –41

$r = 11$ Solved for cost of one shrub

Substitute 'r' for 11 using either Arjun's or Jessica's equation. Then, isolate 'd' to solve for the cost of one daylily.

I will use Arjun's equation.

$5d + 7r = 97$ Start with Arjun's equation

$5d + 7(11) = 97$ Substitute 'r' for r = 11

$5d + 77 = 97$ Simplify. Subtract 77 from both sides.

$5d = 20$ Divide both sides by 5.

$d = 4$ Solved for the cost of one daylily

I hope this helped! Check out a similar problem about solving systems here to learn more:

brainly.com/question/11103098

7 0

3 years ago

Two classes have a total of 50 students. One of the classes has 6 more students then the other. How many students are in the lar

Verizon [17]

The class will have 28 students

8 0

4 years ago

Factor completely. 3x^2 −147=

erica [24]

Answer:

$3(x - 7)(x+7)$

Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that $3x^2$ and -147 both have. The terms only have 3 in common, which can be divided with

$3x^2 - 147\\3(x^2 - 49)$

However, we're still not done since 49 is a perfect square and $(x^2 - 49)$ can be split into 2, like so:

$3(x - 7)(x+7)$

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.

5 0

3 years ago

What is the value of the expression? 3.2(2.3)−4.8 Enter your answer in the box as a decimal.

iren2701 [21]

3.2(2.3) - 4.8

Simplify.

(3.2 × 2.3) - 4.8

Simplify.

(10.24) - 4.8

Simplify.

5.44

~Hope I helped!~

8 0

4 years ago

Read 2 more answers

39x2 Divided by 3-10?

satela [25.4K]

Answer:

the answer is 16

Step-by-step explanation:

hope this helps

4 0

3 years ago

Read 2 more answers