The eighth grade class is planning a trip to Washington DC this spring. They need a minimum of 75 people to attend in order to reserve buses. If 1/3 of the eighth grade class 17 parent chaperones have signed up and this is enough to satisfy the requirement, how many students must be in the eighth grade class?

Answers

Answer 1

By setting up an equation and solving for the number of students in the eighth grade class, we find that there must be 174 students to meet the requirement of 75 people including 17 parent chaperones.

To find the number of students in the eighth grade class for the trip to Washington DC, let's use the information provided that 1/3 of the class plus 17 parent chaperones are just enough to satisfy the requirement of 75 people for the trip. We can set up an equation to solve for the total number of students (S) in the class:

1/3 * S + 17 = 75

First, subtract 17 from both sides of the equation:

1/3 * S = 75 - 17

1/3 * S = 58

Then, multiply both sides by 3 to find the total number of students (S):

S = 58 * 3

S = 174

Thus, there must be 174 students in the eighth grade class.


Related Questions

Which function is graphed here?

Answers

Answer:

B

Step-by-step explanation:

B is the function graphed

Help looks like i forgot to read a ruler

Answers

Answer:

12 1/2

Step-by-step explanation:

In a room of 500 high school students, 80% reported planning to attend college. How many of the students are planning to attend college?

Answers

Answer:

500 x 0.8 = 400 would be your answer

Step-by-step explanation:

What is the mean absolute deviation of the data set? 8, 5, 12, 4, 5, 8, 7
a.1
b.2
c.5
d.7

Answers

Answer:

The MAD is: 2

Step-by-step explanation:

First, you add all the terms together. So we get 49.

Then, we divide 49 by the amount of terms. There are 7 terms, so we do 49/7.

We get 7. Now we have to find out the distance between each point and the mean, which is seven.

8-7= 17-5= 212-7=57-4=37-5=28-7=17-7=0

Now, we add all the distances together. We get 14.

Now, we divide 14 by the amount of terms, which is 7. 14/7 is 2.

The answer is b.

The correct option is b. The mean absolute deviation of the data set is 2.

To find the mean absolute deviation (MAD) of the data set [tex]\(\{8, 5, 12, 4, 5, 8, 7\}\)[/tex], follow these steps:

1. Calculate the mean (average) of the data set.

[tex]\text{Mean} = \frac{\sum \text{data points}}{\text{number of data points}} \\\\\text{Mean} = \frac{8 + 5 + 12 + 4 + 5 + 8 + 7}{7} = \frac{49}{7} = 7[/tex]

2. Find the absolute deviations from the mean for each data point.

[tex]|8 - 7| &= 1 \\|5 - 7| &= 2 \\|12 - 7| &= 5 \\|4 - 7| &= 3 \\|5 - 7| &= 2 \\|8 - 7| &= 1 \\|7 - 7| &= 0 \\[/tex]

3. Calculate the mean of these absolute deviations.

[tex]\text{Mean Absolute Deviation} = \frac{\sum \text{absolute deviations}}{\text{number of data points}} \\\\\text{Mean Absolute Deviation} = \frac{1 + 2 + 5 + 3 + 2 + 1 + 0}{7} = \frac{14}{7} = 2[/tex]

So, the mean absolute deviation of the data set is: b. 2

The two box-and-whisker plots below represent the distribution of shoe sizes for a group of 40 two-year-old boys and a group of 80 three-year-old boys.



What is the difference of the interquartile ranges of the box-and-whisker plots?

0
0.5
1
1.5

Answers

Answer: Choice B)  0.5

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

Explanation:

For now, focus solely on the orange boxplot. The first quartile Q1 is the left edge of the box, which is at 3.5; while the value of Q3 is 7.5 (right edge of the box). The interquarile range (IQR) is ...

IQR = Q3 - Q1

IQR = 7.5 - 3.5

IQR = 4

This is basically the width of the box. Ignore the whiskers when it comes to the IQR.

Let A = 4 as we'll use it later.

---------------------------------

Find the IQR for the blue box plot

Q1 = 6 = left edge of the blue box

Q3 = 9.5 = right edge of the blue box

IQR = Q3 - Q1

IQR = 9.5 - 6

IQR = 3.5

Let B = 3.5 as we'll use it later

---------------------------------

Subtract the values of A and B to find the difference of the IQR values

A - B = 4 - 3.5 = 0.5

In Antarctica, the air temperature is -5 degrees F. The temperature of the nearby water is 33 degrees F. How much colder is the air than the water?\

Answers

it’s 38 degrees colder i think

Answer:

The air is 38 degrees colder.

Step-by-step explanation:

To solve for this we must understand "key words" to understand which operation we are doing. The words in this are "how much colder" this signifies we must do subtraction.

33 - (-5) = 38.

The air is 38 degrees colder.

Find the perimeter of the quarter-circle. Give your answer to the nearest whole number.

Round to the nearest hundredths.

The perimeter of the quarter- circle is ____ cm.

Answers

Answer:

The perimeter of the quarter-circle is 200 cm.

Step-by-step explanation:

Given that the angle of quarter-circle is 90°. So using Length of Arc formula, you are able to find the length of curve :

[tex]arc = \frac{θ}{360} \times 2 \: \pi \: r[/tex]

Let r be radius = 56 cm,

Let θ = 90°

[tex]arc = \frac{90}{360} \times 2 \times\pi \times 56[/tex]

[tex] = \frac{1}{4} \times 2 \times \pi \times 56[/tex]

[tex] = \frac{1}{2} \times \pi \times 56[/tex]

[tex] = 28\pi \: cm[/tex]

We have already found the arc. Next we have to add up together to find the perimeter :

[tex]p = 56 + 56 + 28\pi[/tex]

[tex]p = 112 + 28\pi[/tex]

[tex]p = 200 \: cm \: (3s.f)[/tex]

Yes correct yay ! :)

Do perpendicular lines always have a slope that are negative reciprocals. Explain your answer

Answers

Answer:

Yes. parallel lines are known to have the same slope, but perpendicular lines will always have negative-reciprocal slopes.

This holds true for all lines that are not vertical or horizontal

This holds true for all lines that are not vertical or horizontal. A horizontal line has a slope of 0, and a vertical line has an undefined slope. These lines are perpendicular, but the rule of negative reciprocals does not apply because you cannot divide by zero.

Let’s prove that the product of the slopes of two perpendicular lines is -1.

Let’s consider two lines, Line 1 and Line 2, that are perpendicular to each other.

Line 1: Let’s say the slope of Line 1 is m1.

Line 2: Now, let’s consider Line 2 which is perpendicular to Line 1. Let’s say the slope of Line 2 is m2.

Since Line 1 and Line 2 are perpendicular, the angle between them is 90 degrees. Now, the tangent of the angle between two lines is equal to the absolute difference of their slopes divided by 1 plus the product of their slopes.

tan(90) = |m1 - m2| / (1 + m1*m2)

But we know that tan(90) is undefined, which implies that the denominator of the right side of the equation must be zero.

So, 1 + m1*m2 = 0, which implies that m1*m2 = -1.

Therefore, we have proved that the product of the slopes of two perpendicular lines is -1.

How do lichens weather rock?

Answers

Answer:

Biological weathering is the actual molecular breakdown of minerals. There are things called lichens (combinations of fungi and algae) which live on rocks. Lichens slowly eat away at the surface of rocks. The amount of biological activity that breaks down minerals depends on how much life is in that area

Step-by-step explanation:

I see this website is called brainly am i allowed to be here if i don't have a brain?????

Answers

Answer:

no you are definetly not allowed

Step-by-step explanation:

because if you dont have a brain you are certainly not educated

Answer:

What type of question is that?

Brainly is a platform where students and other educators gain knowledge while distributing old knowledge to people who need it. If you don't have a brain then I don't know what to tell you but get some help.

what kinds of arcs does the circle have

Answers

Answer:

You can divide a circle into smaller portions. A part of a circle is called an arc and an arc is named according to its angle. Arcs are divided into minor arcs (0° < v < 180°), major arcs (180° < v < 360°) and semicircles (v = 180°). When diameters intersect at the central of the circle they form central angles.

Step-by-step explanation:

Answer:

You can divide a circle into smaller portions. A part of a circle is called an arc and an arc is named according to its angle. Arcs are divided into minor arcs (0° < v < 180°), major arcs (180° < v < 360°) and semicircles (v = 180°). When diameters intersect at the central of the circle they form central angles.Arc Of A Circle. The arc of a circle is a portion of the circumference of a circle. Measure an arc by two methods: 1) the measure of the central angle or 2) the length of the arc itself.

Step-by-step explanation:

(happy to help)

X =
3) Solve by completing the square.
(3 poir
x2 + 4x - 59 = 0

Answers

Answer:

9.83

Step-by-step explanation:

x2 + 4x- 59 = 0 +59

x2 + 4x = 59

6x=59

6x/6 = 59/6

x=9.83

What is the value of x, when x2 + 5 = 21? A) 2 or -2 B) 4 or -4 C) 5.5 or -5.5 D) 8 or -8

Answers

X would be equal to 8.

Answer:

I'm positive that the

answer is B 8

Matt Bonner has 8 dimes, 9 pennies, and 4 quarters in his pocket. If each coin is equally likely to be pulled out of his pocket in order without replacement, what is the probability that he will pull out the 2 quarters in a row and then 2 pennies? ***There are 4 total draws!!!! *
32/7203
0.602%
0.89%
0.44%

Answers

Answer:

B. 0.602%

Step-by-step explanation:

Probability is essentially (# times specific event will occur) / (# times general event will occur). Here, we have a few specific events: draw a quarter, draw a second quarter, draw a penny, and draw another penny. The general event will just be the number of coins there are to choose from.

The probability that the first draw is a quarter will be 4 / (4 + 8 + 9) = 4/21.

Since we've drawn one now, there's only 21 - 1 = 20 total coins left. The probability of drawing a second quarter is: (4 - 1) / (21 - 1) = 3/20.

The probability of drawing a penny is: 9 / (20 - 1) = 9/19.

The probability of drawing a second penny is: (9 - 1) / (19 - 1) = 8/18.

Multiply these four probabilities together:

(4/21) * (3/20) * (9/19) * (8/18) = 864 / 143640 ≈ 0.602%

The answer is B.

Answer:

0.602%

Step-by-step explanation:

Total coins:

8+9+4 = 21

Quarter, Quarter, Penny, Penny:

4/21 × 3/20 × 9/19 × 8/18

4/665 × 100

0.6015037584%

1. What is the slope of the line passing through (-2,3) and (4, -5)?
2. Which of the following is the equation of a line that has a slope of zero and passes through the point (4,6)?

Answers

Answer:

Step-by-step explanation:

hello :

1) Hello :

let  A(-2,3)    B(4,-5)

the slope is :   (YB - YA)/(XB -XA)

(-5-3)/(4+2)  =  -8/6 =-4/3

2) Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :

m=0      x_1=4        y_1=6

an equation for this line is : y-6 =0(x-4)

so : y=6  

factor: -12n - 20
a.4(3n+5)
b. -4(3n + 5)
c. -4(3n - 5)
d. 4(3b-5)

Answers

Answer: B.  −4(3n+5)

Step-by-step explanation:

Factor out the common term 4.

−4(3n+5)

Please answer ;)

-11b+7 = 40

Answers

Answer:

b=-3

Step-by-step explanation:

Let's solve your equation step-by-step.

−11b+7=40

Step 1: Subtract 7 from both sides.

−11b+7−7=40−7

−11b=33

Step 2: Divide both sides by -11.

−11b /−11 = 33 /−11

b=−3

Answer:

The correct answer is b=(-3)

Step-by-step explanation:

First you subtract 7 from both sides and you willl get -11b=33. Then you divide both sides by -11 and you will get b=33/-11. Then you simplifty your answer and you will get b=(-3).

                              ^^Hope this helps!^^

What is the mean absolute deviation of Robin's
scores?
Robin's
Scores
99
108
102 107 119
MAD-8
8 + 1 + 5 + 0 + 12
Distance
from the 81 50 12
Mean

Answers

Answer:

5.2

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

just did it

Two buildings are 35 feet apart. The angle of elevation from the top of the smaller building to the top of the taller building is 42˚. The smaller building is 32 feet high. Find the height of the taller building.

Answers

Using trigonometry and the tangent function, the height of the taller building, with a 42˚ angle of elevation from the smaller 32-foot building 35 feet away, is calculated to be approximately 63.514 feet. The formula tan(42˚) = (h₂ - 32) / 35 is utilized where tan(42˚) ≈ 0.9004. Solving this equation gives the height of the taller building.

The question asks: Two buildings are 35 feet apart. The elevation angle from the top of the smaller building to the top of the taller building is 42˚. The smaller building is 32 feet high. Find the height of the taller building.

To solve this problem, we will use trigonometry, specifically the tangent function, which relates an angle of a right triangle to the ratio of the opposite side to the adjacent side.

Let's denote the height of the smaller building as h₁ = 32 feet, the height of the taller building as h₂, and the horizontal distance between the buildings as 35 feet. The elevation angle from the top of the smaller building to the top of the taller building is 42˚.

First, we determine the difference in height (Δh) between the two buildings:

→ tan(θ) = opposite/adjacent

In this case:

→ tan(42˚) = (h₂ - h₁) / 35

We solve for the height difference:

→ (h₂- 32) = tan(42˚) * 35

Using a calculator to find tan(42˚):

→ tan(42˚) ≈ 0.9004

Substituting the value:

→ (h₂ - 32) = 0.9004 * 35

→ h₂ - 32 ≈ 31.514

Adding 32 to both sides:

→ h₂ ≈ 31.514 + 32

→ h₂ ≈ 63.514

Therefore, the height of the taller building is approximately 63.514 feet.

What is the value of x? A) 6 B) 8 C) 10 D) 12

Pls help ?

Answers

I don’t know the answer, sorry. I made this post on accident.

Ed is a farmer who charges $3.75
for 5
pounds of cabbage. This table shows the rates charged for cabbage by some other farmers.

​Determine whether the unit rate charged for cabbage by the other farmers is less than, equal to, or greater than the unit rate charged by Ed.

​Select one cell per row.

Answers

Answer:

a more b same c less d same

Step-by-step explanation:

his per pound is 75 cents

Final answer:

Ed charges $3.75 for 5 pounds of cabbage, which makes his unit rate $0.75 per pound. To compare his unit rate with other farmers, calculate each of their unit rates and compare them to Ed's. Farmers work with a "going rate" like most agricultural markets, which reflects the competitive nature of the industry.

Explanation:

To determine whether the unit rate charged for cabbage by other farmers is less than, equal to, or greater than the unit rate charged by Ed, it is necessary to calculate Ed's unit rate first. Ed charges $3.75 for 5 pounds of cabbage, which means the unit rate is $3.75 ÷ 5 pounds = $0.75 per pound.

Once we have Ed's unit rate, we can compare it with the rates provided by other farmers. Without the rates from other farmers included in the question, the specific comparison cannot be completed. However, if another farmer is charging a different price for a quantity of cabbage, you would calculate their unit rate the same way and compare it to Ed's $0.75 per pound. If the unit rate of another farmer is less than $0.75, then they charge less than Ed. If it is greater than $0.75, they charge more than Ed. If it is equal to $0.75, then they charge the same as Ed.

Understanding unit rates is crucial as it helps consumers make informed decisions and ensures that farmers like Ed maintain competitiveness within the market, similar to the conditions agricultural growers face. Farmers generally adhere to a "going rate", which represents a price point that is influenced by supply and demand within a competitive market.

Learn more about Unit Rates here:

https://brainly.com/question/42231565

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Use the graph to complete the statement
The triangle at the top of the graph is a reflection of the
triangle at the bottom
Over what line is the triangle reflected?
The triangle is reflected over line

Answers

here is the graph for anyone needing it and the answer is C

Hi! 6=3+b? please help me

Answers

Answer:

b = 3

Step-by-step explanation:

All you need to do is subtract 3 from both sides, like so:

6 = 3 + b

-3  -3

________

3 = b

Answer:

B = 3

Step-by-step explanation:

6  =  3 + b, subtract the 3 from 6

6 - 3 = b

3 = b



Find the value of x.

A) 21
B) 27
C) 31
D) 34

Answers

Answer:

what is the equation?

Step-by-step explanation:

 

Solve for x
a 2.2
b 5.4
c 6.5
d 7.2

Answers

Answer:

D

Step-by-step explanation:

Given that the segment is an angle bisector then the ratio of sides and base are equal, that is

[tex]\frac{10}{4}[/tex] = [tex]\frac{18}{x}[/tex] ( cross- multiply )

10x = 72 ( divide both sides by 10 )

x = 7.2 → D

Female Height: Mean-63.6 Standard Deviation- 2.5

How tall is Carrie if 2.5% of women are shorter than her?

Answers

Answer:

???

Step-by-step explanation:

A fisherman harvested 350 kg of fishes on Monday. From Monday to Friday, the amount of fishes, be harvested increased by 10% per day. What’s the total amount of fishes did the fisherman harvest in the first five days? Round your answer to the nearest whole number.

Answers

Answer:

2137 kg

Step-by-step explanation:

The number of fish the fisherman harvest in the first five days is

512 kg.

Given,

A fisherman harvested 350 kg of fish on Monday.

From Monday to Friday, the amount of fishes, be harvested increased by

10% per day.

We need to find the total amount of fish the fisherman harvest in the

first five days.

Round your answer to the nearest whole number.

How do we find the percentage value of a given amount?

We multiply the required percentage with the given amount.

Example:

10% of 500 = 10/100 x 500 = 10 x 5 = 50

We have,

Each day 10% increases.

Monday:

350 kg of fishes

Tuesday:

350 x 10%

= 350 x 10/100

=350 x 1/10

= 35

The number of fishes:

= 350 + 35

= 385 kg

Wednesday:

385 x 10%

= 385 x 1/10

= 38.5

The number of fishes:

= 385 + 38.5

= 423.5 kg

Thursday:

423.5 x 10%

= 423.5 x 1/10

= 42.35

The number of fishes:

= 423.5 + 42.35

= 465.85 kg

Friday:

465.85 x 10%

= 465.85 x 1/10

= 46.585

The number of fishes:

= 465.85 + 46.585

= 512.435 kg

Rounding to the nearest whole number we get,

= 512 kg

Thus the number of fish the fisherman harvest in the first five days is

512 kg.

Learn more about how to find the amount of fish caught on Monday here:

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Mr.fox purchased 3,648 candies and divided them Into treat bags of 14 pieces, how many treat bags was he apple to make

Answers

Answer:

260

Step-by-step explanation:

divide 3,648 by 14

this equals 260.57

Because he is putting the same amount of candy in each bag, you would round down. He is not going to put a fraction of candy in a bag so he would be able to make 260 bags with some candy left over.

Therefore, Mr. Fox was able to make 260 treat bags with 14 pieces of candy in each.

To solve the problem, we need to determine how many treat bags of 14 pieces each can be made from 3,648 candies. This is a simple division problem where the total number of candies is divided by the number of candies per treat bag.

Here is the step-by-step solution:

1. Start with the total number of candies Mr. Fox has, which is 3,648.

2. Determine the number of candies per treat bag, which is given as 14.

3. Divide the total number of candies by the number of candies per treat bag to find out how many treat bags can be made.

4. Perform the division: [tex]\( \frac{3,648}{14} = 260 \)[/tex].

Mr. Fox was able to make 260 treat bags.

the largest possible sum of 4 unequal numbers, none greater than 100, is A. 380 B. 388 C. 390 D. 394

Answers

Answer:

390

Step-by-step explanation:

99+98+97+96=390

Answer:

394

Step-by-step explanation:

The largest number is 100 since it says none greater than 100.  We can have 100

The next number is 99 since it is not equal to 100 and is the next largest number

The next number is 98 since it is not equal to 100 or 99 and is the next largest number

The last number is 97 since it is not equal to 100 or 99 or 98 and is the next largest number

The sum of the 4 numbers is

100+99+98+97 =394

Jane has saved 600 dollars in a college fund. She added money to the account over the next year and at the end of the year the account had 890 dollars. Write an equation to represent the amount she saved over the year.


which of these options ??


A. 890x = 600

B. 600 + x = 890

C. 890 + x = 600

D. 600x = 890

E. none of the above

Answers

The answer would be B)

Answer: B

Step-by-step explanation: Jane put $600 in a college fund and over the next year she got $890. You don't know how much money she added to the fund (x is added dollars) so 600+x=890.

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