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Illusion [34]
3 years ago
13

Lea and kim each improve their yard by planting daylilies and shrubs. they bought their supplies from the same store. lea spent

$86 on 7 daylilies and 6 shrubs. kim spent $132 on 9 daylilies and 12 shtubs. find the cost of one daylilies and the cost of one shrub
Mathematics
1 answer:
gregori [183]3 years ago
6 0
<span>Let us represent the cost of day lilies by d and the cost of shrubs by s. We set up two equations,
Lea:
7d+6s=86

Kim:
9d+12s=132

Rearranging Lea's equation to make d the subject,
d= 86-6s /7

Substituting this value of d into Kim's equation:

9(86-6s /7) +12s=132
102s+12s=132
114s=132
s=1.16

Substituting this value into the original equation:

9d+12(1.16)=132
9d+13.92=132
9d=118
d=13.12


The cost of a day lily is $13.12 and the cost of a shrub is $1.16.</span>
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3 years ago
Given the expression ‘6 more than twice a number’, what is the value of the expression if the number is equal to 5?
stepan [7]

Answer:

Expression: 2x + 6

Value of the expression when x = 5: 16

Step-by-step explanation:

Let's first focus on the expression: '6 more than twice a number'. Twice a number is the same as saying two times a number. Let's have that number be represented by x. Twice a number would mean 2x, and 6 more than that would just be 2x + 6.

We'll then plug in 5 for x to get the value of the expressinn:

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5 0
3 years ago
The hypotenuse of a right triangle is 25 feet long The height of the right triangle is shrinking at a rate of 1 ft/week. What is
Lesechka [4]

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Step-by-step explanation:

An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.

If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...

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