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Amiraneli [1.4K]
3 years ago
14

Preston has a car washing business. Last year he washed 20 cars a week. This year, he washed 1,200 cars. How many more cars did

he wash this year than last year? *52 weeks=1 year
Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer:

He washed 160 more cars this year than last year.

Step-by-step explanation:

Last year:  He washed a total of 1,040 cars.

This year:  He washed a total of 1,200 cars.

     1,200

 <u>-   1,040</u>

        160

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Given AQRS-AXYZ, what is the value of tan(Q)?<br><br> A) 3/5<br> B) 3/4<br> C) 4/5<br> D) 4/3
iren [92.7K]

The answer is B.

Since ΔQRS ~ ΔXYZ, the value of tan(Q) is :

  • ∠Q = ∠X
  • tan(Q) = tan(X)
  • tan(X) = 3/4
  • tan(Q) = 3/4
3 0
2 years ago
What is the solution of the following system?
Yakvenalex [24]
<h3>Answer:  B) no solutions</h3>

===========================================================

Explanation:

Let's isolate the variable y in the first equation

-2x - y = 1

-2x = 1 + y

1+y = -2x

y = -2x-1

Then we'll plug this into the second equation

-4x - 2y = -1

-4x - 2(-2x-1) = -1

-4x + 4x + 2 = -1

0x + 2 = -1

0 + 2 = -1

2 = -1

We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.

Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.

3 0
2 years ago
PLS HELP ILL MARK YOU AS BRAINLIEST
Alenkasestr [34]

Answer:

a= 78

Step-by-step explanation:

To solve subtract:

180-102= 78

Hope this helps!

4 0
2 years ago
Read 2 more answers
In the data set below, what are the lower quartile, the median, and the upper quartile. 13, 16, 16, 17, 51, 57, 62, 72, 92, 97
FinnZ [79.3K]

Answer:

I'm rusty on this but I believe:

the median is 54

the lower quartile = 16

the upper quartile is 72

5 0
3 years ago
Please help me with these problems. This is not multiple choice. Part 3​
Ivan

9514 1404 393

Answer:

  5. 8 ft

  6. y = 47x +110; 533 students in 2019

Step-by-step explanation:

4. Answered for you previously. See brainly.com/question/21087377.

__

5.

<u>Given</u>:

  triangular garden with base 7 ft and area 28 ft^2

<u>Find</u>:

  height of the triangle

<u>Solution</u>:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where A is the area, b is the base length, and h is the height

Multiplying by 2/b, we can get a formula for the height. Using this formula, we can solve the problem.

  h = 2A/b

We can let h represent the height, and fill in the given data.

  h = 2(28 ft^2)/(7 ft)

  h = 8 ft

The height of the triangle is 8 feet.

__

6.

<u>Given</u>:

  (0, 110), (5, 345) . . . . . where the points represent ...

     (years after 2010, students using the hotline)

<u>Find</u>:

  a linear model for the data

  the number of students predicted for 2019

<u>Solution</u>:

The 2-point form of the equation for a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

where the points are (x1, y1) and (x2, y2). Using the given points, our linear model is ...

  y = (345 -110)/(5 -0)(x -0) +110

  y = 47x +110 . . . . the linear model, where ...

     y is the number of students using the hotline

     x is the number of years after 2010

__

In 2019, x = 9, so y = ...

  y = 47(9) +110 = 423 +110 = 533

The number of students predicted to use the hotline in 2019 is 533.

5 0
3 years ago
Read 2 more answers
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