What is the center of the dot plot 2 2.5 3 5

Two spray paint machines are used to paint different portions of a large wall. The first machine (nicknamed "Paint Pro") is used

jonny [76]

Answer: The answer is 30 sq.ft/min and 25 sq.ft/min.

Step-by-step explanation: Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.

Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.

Then, according to the question, we have

$x+y=55,\\\\120x+90y=5850~~\Rightarrow 4x+3y=195.$

Multiplying first equation by 4 and subtracting the second equation from it, we have

$4y-3y=220-195\\\\\Rightarrow y=25,$

and

$x=55-25=30.$

Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.

4 0

3 years ago

Which statement can be used to prove that the two triangles are congruent?

prohojiy [21]

Answer:

HL Theorem

Step-by-step explanation:

Here, we see that both triangles have a right angle, making them right triangles. We know that the hypotenuse must be equivalent, as it is the same line. Furthermore, we see that one of the legs from each triangle are equivalent. Therefore, we can use HL Theorem to prove these triangles are equal.

8 0

3 years ago

Read 2 more answers

It is 240 miles from Boston to New York.

bezimeni [28]

Answer:

24 Hours

Step-by-step explanation:

4 0

3 years ago

Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student C

Vika [28.1K]

The total cost during a school year to attend a given number of daces is a

linear function of the number of dances attended.

The correct responses are;

Part A; The function for the total cost is; c = 50 + 4·n

Part B; The total cost for attending 15 dances is; c = $110

1. The initial cost is $50 and the rate is $4

2. The annual fee, the admission price, and the number of dances attended

3. The solution are: Part A; c = 50 + 4·n, Part B; c = $110

Reasons:

The given parameter are;

Admission price per person = $4

The annual fees members pay = $50

A. The function that can be used to determine c is a linear function, with a y-intercept (initial value) of 50 and a rate (slope) of 4

The total cost to attend n dances a year, c = 50 + 4·n

B. If a member attends 15 dances a year, we have;

n = 15

Therefore;

The total cost, c = 50 + 4 × 15 = 110

The total cost for 15 dances a year, c = $110

1. As the number of dances attended increase, the total cost increase, and the cost when no dance is attended by a member during the year is $50.

2. The essential information that can be used to find the solution are;

The admission price for each person.

The annual fee for membership dues.

The number of dances a member attends in a year.

3. Part A; c = 50 + 4·n

Part B; c = $110

Learn more about linear functions here:

brainly.com/question/20478559

8 0

3 years ago

A data set has a RANGE of 24 and a MEAN of 104. If the data set contains three numbers and the highest number is 118, then what

s2008m [1.1K]

Answer:

highest number is 118

middle number is 100

lowest number is 94

Step-by-step explanation:

R=24---between high and low is 24 numbers

M=104---average of the three numbers

highest number is 118

therefore if you subtract 24 from 118 therefore the lowest number is 94

Then i used a mean calculator and went up from 95 to 100 before the means matched.

7 0

3 years ago