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Nimfa-mama [501]
2 years ago
15

Maury and Tyra are making phone calls to state representatives' offices to lobby for an issue. Muary can call all 120 state repr

esentatives in 10 hours. Tyra can call all 120 state representatives in 8 hours. How long would it take them to call all 120 state representatives together?
Mathematics
1 answer:
oee [108]2 years ago
6 0
Maury = 120/10 (12 calls/hour)
Tyra = 120/8 (15 calls/hour)

Together they are 27 calls per hour.
120 / 27 = 4.4444444444

So it'd take them 4.44444444 (recurring) hours to make 120 calls.
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A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two
Oliga [24]

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of the rectangle is equal to

A=x*y

The area of the two congruent right triangles  is equal to the area of the rectangle

A=2*44=88\ in^{2}

so

88=x*y -------> equation A

y=x-3 -----> equation B

Substitute equation B in equation A

x*[x-3]=88

x^{2} -3x-88=0 --------> equation that can be used  to solve for the length of the rectangle

Using a graph tool-------> solve the quadratic equation

see the attached figure

The solution is

x=11\ in -----> the length of the rectangle

Find the value of y

88=11*y

y=8\ in  ----> the width of the rectangle

Statements

<u>case A)</u> The area of the rectangle is 88 square inches

The statement is True

See the procedure

<u>Case B)</u> The equation  x*[x-3]=44 can be used to solve for the dimensions of the triangle

The statement is False

Because, the equation x*[x-3]=88 can be used to solve for the dimensions of the triangle

<u>case C)</u> The equation x^{2} -3x-88=0 can be used to solve for the length of the rectangle

The statement is True

see the procedure

<u>case D)</u>The triangle has a base of 11 inches and a height of 8 inches

The statement is True

Because, the base of the triangle is equal to the length of the rectangle and the height of the triangle is equal to the width of the rectangle

<u>case E)</u> The rectangle has a width of 4 inches

The statement is False

See the procedure

8 0
2 years ago
Read 2 more answers
The distribution of scores on a test is​ mound-shaped and symmetric with a mean score of 78. If​ 68% of the scores fall between
Salsk061 [2.6K]

Answer:

The standard deviation for the distribution of scores is 6.    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 78

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Empirical Formula:

  • Almost all the data lies within three standard deviation from mean for a normal data.
  • for this rule almost all the data lies within on tandard deviation from the mean.

68% of the scores fall between 72 and​ 84, thus, we can write:

\mu + \sigma = 84\\\mu - \sigma = 72\\78 - \sigma  = 72\\\Rightarrow \sigma = 6

Thus, the standard deviation for the distribution of scores is 6.

4 0
2 years ago
Match with the sum of the monomial and binomial
Margarita [4]

Answer:

The answer to your question is below

Step-by-step explanation:

Just cancel the parentheses and simplify

                   Result                            Addition

                5xy² + 2x²y     ⇒                (5xy² - x²y) + 3x²y = 5xy² + 2x²y        

               -3x²y - 2xy²      ⇒                 x²y + (-2xy² - 4x²y) = -3x²y - 2xy²

                3x²y - 2xy²      ⇒               2x²y + (x²y - 2xy²) = 3x²y - 2xy²

                5x²y + xy²        ⇒                4x²y + (x²y + xy²) = 5x²y + xy²

5 0
2 years ago
You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr
Angelina_Jolie [31]

Answer:

5,340

Step-by-step explanation:

Hi there:)

Amount invested in stock

=5000×0.6=3000

Amount invested in a saving account

5000-3000=2000


The stock increases 9% in the first year

3,000×(1+0.09)=3,270

and loses 4% of its value the second year

3,270×(1−0.04)=3,139.2

Amount of a saving account after two years

2,000×(1+0.049)^(2)=2,200.8


the total amount gained during the 2 years

3,139.2+2,200.8=5,340...answer


Hope it helps




8 0
2 years ago
Read 2 more answers
The store sells a 9 ounce jar of mustard for $1.53 and a 15 ounce for $2.55 explain whether the cost of the mustards have the sa
astraxan [27]

Answer:

same amount of money

Step-by-step explanation:

3 0
2 years ago
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