The system of equations y = 2 x minus 1 and y = negative one-fourth x + 3 is shown on the graph below.

On a coordinate plane, 2 lines intersect around (1.8, 2.6).

What is a reasonable estimate for the solution?
(1 and three-fourths, 2 and one-half)
(2 and one-half, 1 and three-fourths)
(1 and one-third, 2 and one-half)
(2 and one-half, 1 and one-third)

Answer:

a = 195 ; c = 615

Step-by-step explanation:

So, you want to start by forming your equations...

I will use 'c' for children and 'a' for adults for my variables

3a + 30 = c  

(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)

then for equation 2:

3c + 5a = 2820

(this is because of the prices of the tickets and the total money raised)

Then, plug in the equation for c

Your equation should look like:

3(3a + 30) + 5a = 2820

You get:

(9a +90) + 5a = 2820

Then:

14a = 2730

So:

a = 195 adult tickets sold

Plug in a, to find c:

3 (195) + 30 = c

585 + 30 = c

c = 615 children tickets sold

Answer:

ρ_air = 0.15544 kg/m^3

Step-by-step explanation:

Solution:-

- The deflated ball ( no air ) initially weighs:

                             m1 = 0.615 kg

- The air is pumped into the ball and weight again. The new reading of the ball's weight is:

                            m2 = 0.624 kg

- The amount of air ( mass of air ) pumped into the ball can be determined from simple arithmetic between inflated and deflated weights of the ball.

                           m_air = Δm = m2 - m1

                           m_air = 0.624 - 0.615

                           m_air = 0.009 kg

- We are to assume that the inflated ball takes a shape of a perfect sphere with radius r = 0.24 m. The volume of the inflated ( air filled ) ball can be determined using the volume of sphere formula:

                         V_air = 4*π*r^3 / 3

                         V_air = 4*π*0.24^3 / 3

                         V_air = 0.05790 m^3  

- The density of air ( ρ_air ) is the ratio of mass of air and the volume occupied by air. Expressed as follows:

                         ρ_air = m_air / V_air

                         ρ_air = 0.009 / 0.05790

Answer:            ρ_air = 0.15544 kg/m^3                      

Answer:

1.24

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given function is

[tex]y=1800+1.3x[/tex]

Where [tex]x[/tex] represents the accelerated strength in psi, and [tex]y[/tex] represents 28-day standard-cured strength in psi.

Part a is about finding the y-value for [tex]x=2500[/tex]

[tex]y=1800+1.3(2500)=1800+3250=5,050[/tex]

Therefore, the expected value of 28-day strength when accelerated strength is 2,500, is 5,050 psi.

Part b is about the y-value for [tex]x=2501[/tex]

[tex]y=1800+1.3(2501)=1800+3251.3=5,051.3[/tex]

Part c is about the y-value for [tex]x=2600[/tex]

[tex]y=1800+1.3(2600)=1800+3380=5,180[/tex]

Part d is about the y-value for [tex]x=2400[/tex]

[tex]y=1800+1.3(2400)=1800+3120=4,920[/tex]

Answer:

1 1\15

Step-by-step explanation:

Answer:

About 99.7% of births would be expected to occur within 51 days of the mean pregnancy​ length

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 17.

About what percentage of births would be expected to occur within 51 days of the mean pregnancy​ length?

51/17 = 3.

So, within 3 standard deviations of the mean.

About 99.7% of births would be expected to occur within 51 days of the mean pregnancy​ length

Answer:

[tex](f*g)(x)=-42x^2-74x-24[/tex]

[tex](f*g)(-1)=8[/tex]

Step-by-step explanation:

[tex]f(x)=7x+3\\ g(x)=-6x-8[/tex]

[tex](f*g)(x)=(7x+3)(-6x-8)\\(f*g)(x)=-42x^2-56x-18x-24\\(f*g)(x)=-42x^2-74x-24[/tex]

Now;

[tex](f*g)(-1)=-42x^2-74x-24\\(f*g)(-1)=-42(-1)^2-74(-1)-24\\(f*g)(-1)=-42(1)+74-24\\(f*g)(-1)=-42+50\\(f*g)(-1)=8[/tex]

Answer:D

Step-by-step explanation:

(4/5)^0

(4^0)/(5^0)=1/1=1

15 songs x 1.25 per song = $18.75 per month for songs.

18.75 per month x 6 months = $112.50

112.50 + 24.00 = $136.50 total

Answer:

A pound of salmon costs 7 dollars.

Step-by-step explanation:

Let's use a ratio:

pounds : $$$

    8       :   56

    4       :    28

    2       :    14

    1        :     7

A pound of salmon costs $7

Answer:

Step-by-step explanation:

56 divided by 8 is 7 so the answer is 7$ for one pound of salmon

Answer:

The cost of the game is $7 .

Step-by-step explanation:

By looking at the graph, the line at x = 4 is equals to y = 7

Answer:

the answer would be 10

Step-by-step explanation:

Answer:

Area=LW=(60m)(40m)=2400 m^2

Step-by-step explanation:

The area of the rectangular pen is 2400 square meters.

The region that a rectangle occupies in a two-dimensional space is referred to as the area of a rectangle. The quantity of square units required to entirely fill a rectangle is another way to describe its area. The whole distance encircling a rectangle's outside is referred to as its perimeter.

Given, A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters. Hence,

Parameter of rectangle = 200

2(length + width ) = 200

given length of the pen is 60 meters

2(60 + width) = 200

width = 100- 60 = 40

Area of the rectangle = length * width = 60* 40 = 2400

Therefore, 2400 square meters will be the area of the given rectangular pen.

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Answer:

Step-by-step explanation:

Initial number of pieces = 6

Number of pieces left:

Answer:-

2/3 in terms of denominator 6 = 4/6

thus, there are 4 parts remaining (because, it was told that each lasanga was 1/6th part of the pan)

so,4/6 of a pan is 4 pieces.

Hope this helps you.

Answer:

Step-by-step explanation:

It costs $7 for 1 baseball and Mrs.Weeks is buying 36 baseballs, that would be: $7 X 36 = $252

It costs $5 for 1 softball and Mrs.Weeks is buying 24 softballs that would be:

$5 X 24 = $120

$252 + $120 = $372 for the baseballs and softballs

Mrs.Weeks gives the cashier four $100 bills that is $400 dollars.

so $400 - $372 = $28 (Mrs.Weeks change)

Answer:

There are two solutions:

x = 5/2 = 2.500

x = 8

Step-by-step explanation:

Answer:

The other solution to the system of equations is : (4,4)

Step-by-step explanation:

[tex]x^{2}}+y^{2} =32 \\y=x\\\\x^{2} +x^{2} =32\\2x^{2} =32\\x^{2} =16\\\\x=4 Or x=-4\\y=4 Or y=-4[/tex]

Answer:

(4, 4)

Step-by-step explanation:

Answer:D or k(x)

Step-by-step explanation: Ik because I cheated like the rest of you, your welcome.

Answer:

-2

Step-by-step explanation:

6+8 equals 14. 14-16 equals -2

Answer: The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals

Step-by-step explanation:

The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals

Answer:

1080

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.

The equations are ...

  12x +15y = 4140; x +y = 300

__

Using the second equation to write an expression for x, we have ...

  x = 300 -y

Substituting this into the first equation gives ...

  12(300 -y) +15y = 4140

  3600 +3y = 4140

  y = (4140 -3600)/3 = 180

  x = 300 -180 = 120

The number of tickets sold is ...

  $12 tickets -- 120

  $15 tickets -- 180

_____

You might want to notice that the equation we ended up with:

  4140 -12(300) = 3y

is equivalent to this "word solution." This can be done in your head; no equations required.

If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.

Answer: tickets: 120………180

Step-by-step explanation:

Answer:

It would take 74.5 minutes for the element to decay 17 grams.

Step-by-step explanation:

The amount of element X after t minutes is given by the follwoing equation:

[tex]X(t) = X(0)e^{rt}[/tex]

In which X(0) is the initial amount of the substance and r is the decay rate.

Half life of 14 minutes.

This means that [tex]X(14) = 0.5X(0)[/tex]

So

[tex]X(t) = X(0)e^{rt}[/tex]

[tex]0.5X(0) = X(0)e^{14r}[/tex]

[tex]e^{14r} = 0.5[/tex]

[tex]\ln{e^{14r}} = \ln{0.5}[/tex]

[tex]14r = \ln{0.5}[/tex]

[tex]r = \frac{\ln{0.5}}{14}[/tex]

[tex]r = -0.0495[/tex]

So

[tex]X(t) = X(0)e^{-0.0495t}[/tex]

There are 680 grams of element X

This means that [tex]X(0) = 680[/tex]

[tex]X(t) = X(0)e^{-0.0495t}[/tex]

[tex]X(t) = 680e^{-0.0495t}[/tex]

How long would it take the element to decay 17 grams

This is t for which X(t) = 17. So

[tex]X(t) = 680e^{-0.0495t}[/tex]

[tex]17 = 680e^{-0.0495t}[/tex]

[tex]e^{-0.0495t} = \frac{17}{680}[/tex]

[tex]e^{-0.0495t} = 0.025[/tex]

[tex]\ln{e^{-0.0495t}} = \ln{0.025}[/tex]

[tex]-0.0495t = \ln{0.025}[/tex]

[tex]0.0495t = -\ln{0.025}[/tex]

[tex]t = -\frac{\ln{0.025}}{0.0495}[/tex]

[tex]t = 74.5[/tex]

It would take 74.5 minutes for the element to decay 17 grams.

Answer:$42,000

Step-by-step explanation:

The total value of his large assets is $42,000.

Asset size is the total market value of the securities in a fund. It can also be referred to as assets under management.

Daniel has $5000 in a savings account, has $7000 in investments, owns a $10,000 car, and owns a $32,000 house.

The total value of his large assets is determined in the following steps given below.

[tex]\rm Large \ assest = House + Car\\\\ Large \ assest = 32000+10000\\\\ Large \ assest = 42000[/tex]

Hence, the total value of his large assets is $42,000.

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Answer: Exact Form:

(Radical 5) over 8

Decimal Form:

0.27950849

…

0.27950849

…

Step-by-step explanation:

Answer:

  C.  (√5)/8

Step-by-step explanation:

  [tex]\sqrt{\dfrac{5}{64}}=\dfrac{\sqrt{5}}{\sqrt{64}}=\boxed{\dfrac{\sqrt{5}}{8}}[/tex]

Answer:

The 90% for the average weights of men is between 137.24 lb and 185.76 lb.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 14

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709

The margin of error is:

M = T*s = 1.7709*13.7 = 24.26

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 161.5 - 24.26 = 137.24 lb

The upper end of the interval is the sample mean added to M. So it is 161.5 + 24.26 = 185.76 lb

The 90% for the average weights of men is between 137.24 lb and 185.76 lb.

The following answers are obtained from HW, which it shows answers to.

Answer:

A. The Queen can state, "All the inscriptions are false."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

(b) The Queen can state, "Exactly one of the inscriptions is true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Trunk 1 and 3

(c) The Queen can state, "Exactly two of the inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Cannot be determined

d) The Queen can state, "All the three inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

Answer:

50 pictures.

Step-by-step explanation:

It's lit just 35+15=50 pictures

Answer:50

Step-by-step explanation:

Meg took 35 pictures

Kim took 15 pictures

Total pictures =35+15

Total pictures =50

Answer:

20 pizzas in total

bro now i want pizza

Step-by-step explanation:

16 pizzas = 80%

8 pizzas = 40%

4 pizzas = 20%

Kono Dio Da!!!

Answer:

C equal -5

Step-by-step explanation:

Look at the attachment