A polling organization contacts 1657 undergraduates who attend a university and live in the United States and asks whether or not they had spent more than $200 on food in the last month.

Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

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The number of dimes coins will be 44 and nickels will be 40.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of dimes coins is x and the number of nickels is y

Now,

1 dimes = $0.1 and 1 nickels = $0.05

Gabby's piggy bank contains dimes and nickels worth $6.40

So,

0.1x + 0.05y = 6.40

And,

x + y = 84

By substituting,

0.1(84 - y) + 0.05y = 6.40

y = 40 and x = 44

Hence "The number of dimes coins will be 44 and nickels will be 40".

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The area of rectangle is 96in2 which is option A.

To find the area of the rectangular face, we need to find the length and width of the rectangle, and then multiply them together.

The length of the rectangle is the distance between the points (-5,8) and (3,8), which is 8 - (-4) = 12 inches.

The width of the rectangle is the distance between the points (-5,8) and (-5,-4), which is 3 - (-5) = 8 inches.

Therefore, the area of the rectangular face is 12 x 8 = 96 square inches.

So the answer is 96 in².

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Answer:

Step-by-step explanation:

You have to use the quadratic formula

x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)

and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2

you usually have to reject an answer but since there is no equal sign in the question, you should be fine

Answer:

2/10=0.2

Step-by-step explanation:

What I did is I divided 2 and 10 as shown above and I got 0.2.

I think you mean 10÷5=2

Answer:

C ≈ 18.85yd

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

Time can not be negative from any perspective. Hence, the correct answer is 10.16 seconds.

The equation of the path of a rocket is given that is  y= x^2 + 153x + 98

We need to determine the time that the rocket will hit the ground.

Now, if the rocket hits the ground after the launching then the overall displacement at the time of hitting the ground will be zero.

Therefore, the value of y is 0.

Thus,  -16x^2 +153x + 98 = 0

Now, the formula for finding the roots of the quadratic equation  

 ax^2 +bx +c = 0 is given as:

 \(x^{1} =\frac{-b+\sqrt{b^2 -4ac} }{2a}\)

\(x^2 = \frac{-b -\sqrt{b^2 -4ac} }{2a}\)

Comparing the expression with the standard form of the equation.

a = -16b = 153 and c = 98

By applying the formula there are two values are come that is,

x^1 = -0.602555

x^2 = 10.1651  

Time can not be negative from any perspective.

Hence, the correct answer is 10.16 seconds.

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(Hope this helps can I pls have brainlist (crown)☺️)

For the m/m/1 queuing model, the average number in the system is equals to the four. So, the correct answer is option (c).

This is the most widely used queuing system in analytics. M/M/1 is a good approximation for a large number of

mass service systems. The M/M/1 quening system assumes a Poisson arrival process. This assumption is a very good approximation for the process of arriving at real systems that satisfy the following rules,

We have, customer service is every 4 minutes. So, the Service rate μ = 1 customer/4 minutes = 0.25 customer/minute or 15 per hour.

Customers arrive individually at a rate of one customer every 5 minutes according to the distribution of poisons.

Number of customer service= 1

The arrival rate is 1/ (mean time between arrivals) . Here, the rate of arrival of customers/5 minutes is λ = 0.2 customers/min or 12 per hour. Therefore,

Utilization factor = (arival rate /service rate)100 = λ/μs

Utilization factor = (12/15) 100%

= (4/5)100 = 80%

Utilization factor = 80%

Average number in the system = λ/( μ - λ)

= (60/5)/[ (60/4)-(60/5)]

= 12/3 = 4

So, the average number in the system is 4.

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Complete question:

A queuing model that follows the m/m/1 assumptions. a customer can be served every 4 minutes. customers arrive independently at the rate of one customer every 5 minutes according to a poisson distribution. the average number in the system is

a) 7

b) 5

c) 4

d) 6

The correct option is (d): △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a translation 6 units to the right, which is a rigid motion.

In option (a), a reflection across the y-axis is not a rigid motion, as it changes the orientation of the triangles, and therefore cannot be used to show congruence.

In option (b), if there is no sequence of rigid motions that maps △ABC to △A′B′C′, then the triangles are not congruent.

In option (c), a translation 6 units to the left does not map △ABC to △A′B′C′. However, a translation 6 units to the right would map △ABC to △A′B′C′, because translations are rigid motions that preserve distance and angle measures.

Therefore, option (d) is the correct statement that describes the relationship between the two triangles.

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Answer:

The answer is b

Step-by-step explanation:

(-3,1)

Given

u varies directly with the square of p.

To write an equation that expresses the following relationship.

Explanation:

It is given that,

u varies directly with the square of p.

That implies,

Then, for the constant of proportionality.

Hence, the equation is k=u/p^2.

Answer:

1:4

Step-by-step explanation:

To represent 14:56 as a simplified ratio, we need to reduce it by finding the GCF (greatest common factor) and dividing it by both terms.

The GCF of 14 & 56 is 14.

14 / 14 = 1

56 / 14 = 4

Thus we are left with our new simplified ratio, 1:4.

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer:

The question is not complete

Answer:

Let current age of father be x and current age of his son be y.

So 3 years ago, difference between their age was 24.

Therefore equation becomes

(x-3)-(y-3) = 24.

x - y = 24.

At present father is 5 times as old as son.

x = 5y.

Therefore 5y - y = 24.

y = 6.

Current age of son is 6 years. So after three years he will be 9 years old.

Step-by-step explanation:

By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.

In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:

(t, h) = (0 s, 5 ft)

Second, the final height of the ball is equal to:

h = 5 ft

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Answer:

65 cents....................

Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.

According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.

Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.

Interest = Principal * Rate

= $13,250.00 * 0.10358

≈ $1,370.56

Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.

Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.

Calculating the interest with a credit score of 680:

Interest = Principal * Rate

= $13,250.00 * 0.09132

≈ $1,210.57

Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.

Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

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Option A. The statement that can be said to be true for h is h(2) = 16

If we look at the domain and range, we can rule out some straight away.

For h - 3 = -1

this is outside of the range of the such that -1 ∉ 1 ≤ hx ≤ 25

When h is 13 = 18

This is also outside of the domain such that 13 ∉ -3 ≤ x ≤ 11

When h is 8 = 21

there is going to be a contradiction with what the question has stated earlier. This is because we are told that h(8) = 19

Therefore on h(2) = 16

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Answer:

no sure about the answer

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

See explanation

Step-by-step explanation:

c=different number of colors

t=5s+50c   ==> c=2

t=5s+50(2)

t=5s+100

5 is the cost of making each shirt and 50 is the cost of making shirts in one color. Hence, 50c is the cost of making shirts in c number of colors and 5s is the cost of making s number of shirts. 50c translates to 50(2) since shirts are made in two colors, so 50(2)=100. 100 dollars is the total cost of making shirts in 2 different colors.

110 is the value of x in function .

What exactly are function and example?

A function is a type of rule that produces one output from one input.   This is illustrated by the equation y=x2. You only get one output for y if you enter anything for x.

                        Considering that x is the input value, we would state that y is a function of x.

f(x) = {  5;  x< 1 }

        { -1/2x + 4 ; x≥ 1 }

 f(4) =  { -1/2  * 4 + 4 }

         =  { -2 + 4 }

         = { 2 }

f( -2) =  { -1/2 * -2 + 4 }

         =  { 1 + 4 }

          = 5

3f(0) = { -1/2 * 0 + 4 }

       = { 0 + 4}

        = 4 * 3 = 12

10f(14) = ( -1/2 * - 14 + 4 )

        =  7 + 4

         = 10 * 11  = 110

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Answer:

Step-by-step explanation:

The ratio is 1 : 3, so we multiply the numbers by 3

4 * 3 = 12

3 * 3 = 9

So, the length is 12 and the width is 9.

12 * 9 = 108

So the area is 108

Hope this helps!

Answer:9 14/15

Step-by-step explanation:

hope that helped

Answer:

the answer is A. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.

Answer:

A as in apple

Step-by-step explanation: