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Ksivusya [100]
3 years ago
5

Ashley and losa each improved their yards by planting dayliles and shrubs. They bought their supplies from the same store. Ashle

y spent $45 on 7 daylilies and 2 shrubs. Lisa spent $174 on 14 daylilies and 11 shurbs. What is the cost of one daylily and the cost of one scrub?
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Let x be cost of one daylily and y be the cost of one scrub.

Ashley spent $45 on 7 daylilies and 2 shrubs. 7 daylilies cost 7x and 2 shrubs cost 2y, in total 7x+2y that is $45. The first equation is 7x+2y=45.

Lisa spent $174 on 14 daylilies and 11 shurbs. 14 daylilies cost 14x and 11 shrubs cost 11y, in total 14x+11y that is $174. The second equation is 14x+11y=144.

Solve this system. Wit hthis aim multiply first equation by 2 and the subtract second equation from first:

2·(7x+2y)-(14x+11y) =2·45-174,

14x+4y-14x-11y=90-174,

-7y=-84,

7y=84,

y=84÷7,

y=12.

Then substitute into first equation:

7x+2·12=45,

7x+24=45,

7x=45-24,

7x=21,

x=21÷7,

x=3.

Answer: the cost of one daylily is $3 and the cost of one scrub is $12.

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A storekeeper increased the price of snack by `20\%`.
sammy [17]
The original price I believe is $2.60
4 0
2 years ago
jasmine bought wax that will cover 400 square feet per gallon. jasmine needs to wax 4704 square foot surface with 2 coats of wax
WINSTONCH [101]

Answer:

24

Step-by-step explanation:

400 × 12 = 4,800

4,800 needed for ONE coat.

Since you need TWO coats, double 12, then you should get 24.

4 0
2 years ago
The pth percentile is a value such that approximately a. p percent of the observations are less than the value and (100 - p) per
kogti [31]

Answer:

p percent of the observations are less than the value and (100 - p) percent are more than this value.

Step-by-step explanation:

Given : The pth percentile is a value such that approximately

Solution :

Definition : A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls

So, The pth percentile means p percentage of observations in a group of observations falls bellow the value

So, (100-p) percentage of observations in a group of observations falls above the value

So, Option a is true

Hence p percent of the observations are less than the value and (100 - p) percent are more than this value.

5 0
2 years ago
The product of two consecutive integers is 90. Which equation can be used to find the two integers?
joja [24]
Two consecutive integers would be x and x+ 1
if you multiply them you have x(x + 1) = x^2 + x
if you want the product to equal 90 you get x^2 + x = 90
The first option is correct.
3 0
3 years ago
PLEASE HELP FAST!!!!!!!!!
Lana71 [14]

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

7 0
2 years ago
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