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kow [346]
1 year ago
8

a landscaping company counted 51 invoices for tree services at the end of the month. they charge $375 for a tree installation an

d $54 for tree trimming. the total dollar amount of the invoices was $6,606. let x represent the number of installations and y represent the number of trimmings. write the ordered pair, (x,y), that represents the situation.
Mathematics
1 answer:
Radda [10]1 year ago
3 0

We used the elimination method to find the ordered pair, (x,y), that represents the situation is (12,39).

Number of invoices = 51

Charge for tree installation = $375

Charge for tree trimming = $54

Total amount in invoices = $6,606

Let x and y represent number of installations and number of trimmings respectively.

Hence,

x + y = 51  ...(1)

375x + 54y = 6606

3 (125x + 18y) = 3*2202

125x + 18y = 2202  ...(2)

Multiplying (1) by 18, we get

18x + 18y = 918  ...(3)

(2) - (3)

107x + 0 = 1284

x = 1284/107 = 12

Hence,

y = 51 - 12 = 39.

To learn more about elimination method, here:-

brainly.com/question/13877817

#SPJ4

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Artyom0805 [142]

Answer:

The quotient is 3x-8

Step-by-step explanation:

(6x^2-x-40)÷ (5 + 2x)

The above equation can be written as

(6x^2-x-40)÷ (2x + 5)

The division is shown in the figure below.

The quotient is 3x-8

4 0
3 years ago
Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3
aliina [53]

Answer:

C) more than the absolute value of the critical value, we can conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Step-by-step explanation:

Hello!

Interest hypothesizes is " the average monthly rate for one-bedroom assisted-living facility is equal to $3300" symbolically: μ = 3300

The study variable is:

X: Monthly rate for a one-bedroom assisted-living facility.

Since there is no information about the distribution of the variable, to be able to study the population mean, I'll assume that the variable has a normal distribution.

The hypothesis is:

H₀: μ = 3300

H₁: μ ≠ 3300

α: 0.05

The statistic to use, considering that there is no known population information and the sample size, is a Student t:

t= <u> X[bar] - μ </u> ~t_{n-1}

       S/√n

n= 12

X[bar]= $3690

S= $530

Using the sample data, calculate the statistic value:

t= <u> 3690 - 3300 </u> = 2.549

       530/√12

The rejection region for this test is two-tailed, with critical values:

t_{n-1; \alpha /2} = t_{11; 0.025} = -2.201

t_{n-1;1-\alpha /2} = t_{11; 0.975} = 2.201

The decision rule is:

Reject the null hypothesis if t ≤ -2.201 or if t ≥ 2.201

Not reject the null hypothesis if -2.201 < t < 2.201

Since the calculated value (2.549) is greater than the right critical value (2.201) the decision is to reject the null hypothesis.

With a signification level of 5%, there is enough evidence to reject the null hypothesis. This means that the population mean of the monthly rate for a one-bedroom assisted living facility is different from $3300.

I hope it helps!

7 0
3 years ago
What is the answer to 2(9x+12) A.18x+12 B.18x+24 C.9x+24
LUCKY_DIMON [66]
2(9x) +2(12)= 18x + 24
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Answer:

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5 0
3 years ago
Given triangle ABC is congruent to DEC find m
ch4aika [34]

First, we know that angle B is congruent to angle E.

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2x + 30 = 5x

30 = 3x

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Remember that the interior angles of a triangle always add up to 180 degrees. Now that we know 2 of the 3 angles of these triangles, and because they are congruent, all that's left to do is find Angle A/D by setting up a simple equation.

60 + 14 + D = 180

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Angle D = 106 degrees

Hope this helps!

7 0
2 years ago
Read 2 more answers
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