184 sixth graders are going on a field trip. There needs to be one chaperone for every four students. If a bus can hold 50 people, how many busses will they need for the trip? Hint: You can't use part of a bus! *

Answers

Answer 1

Answer:

5 buses

Step-by-step explanation:

Total number of 6th graders going for the field trip = 184

Step 1

Divide the total number of students by 4

184/4 = 46

We have 46 groups of six graders.

Step 2

There needs to be one chaperone for every four students.

We have 46 groups of six graders

This means there is need for 1 chaperone per group

Hence, we have 46 chaperones

Step 3

Find total number of people going for the field trip

184 students + 46 chaperones

= 230 people

Step 4

If a bus can hold 50 people, how many buses will they need for the trip?

50 people = 1 bus

230 people = ??y

50 × y = 230

y = 230/50

y = 4.6 buses

Hence, 4.6 buses would be needed but since we can't have 0.6(part) of a bus figuratively, as buses come in whole numbers, we approximate to the nearest whole number

= 4.6 ≈ 5

Therefore, they would be needing 5 buses for the trip.

Answer 2

5 buses

Step-by-step explanation:

i got 10 out of 10


Related Questions

What is the measure in degrees of angle EDF?

Answers

Answer:

20 degrees.

Step-by-step explanation:

Since these triangles are similar, they will have congruent angles.

Since BAC is corrosponding to EDF, they will have the same angle measurment.

BAC = 20, so EDF = 20

Answer:

EDF = 20

Step-by-step explanation:

If the triangles are similar, the angle measurements have to be equal

<A = <D

<B = <E

<C = <F

Since BAC = 20,  <A = 20 that means D = 20

EDF = 20

solve 3(5y+2)–y=2(y–3)

Answers

Answer:

y= -1

Step-by-step Explanation:

3(5y +2)-y=2(y-3)

Distribute-  15y +6-y=2y -6

Combine variables-  15y-2y-y=-6-6

Add everything together-  12y= -12

Divide-  y= -1

Answer:

y = -1

Step-by-step explanation:

Step 1. Expand the brackets.

3(5y + 2) - y = 2(y - 3)

(3 x 5y) + (3 x 2) - y = (2 x y) - (2 x 3)

15y + 6 - y = 2y - 6

Step 2. Simplify the expanded brackets (not always necessary but is in this case).

15y + 6 - y = 15y - y + 6 = 14y + 6

So

14y + 6 = 2y - 6

Step 3. Solve the equation.

14y + 6 = 2y - 6

+ 6 to both sides

14y + 12 = 2y

- 14y from both sides

12 = -12y

÷ 12 on both sides

1 = -y

flip the negative

-1 = y

Step 3. Write your answer.

y = -1

Evaluate. 58−(14)2= ________

Answers

Answer:

the answer for 58-(14)2=

its = 30

Step-by-step explanation:

58-(14)2. It can also be written as 58-2(14)

58-28

= 30

Help me please. I don't understand.

Answers

Answer:

what is it

Step-by-step explanation:

PLEASE HELP!!!!!!! Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B?

Answers

Answer:

1:4

Step-by-step explanation:

Find the ratio of corresponding sides

[tex]\frac{10}{40}=\frac{1}{4}\\\\\\\frac{11}{44}=\frac{1}{4}\\\\\\\frac{18}{72}=\frac{1}{4}\\\\\[/tex]

Scale factor:

1:4

Answer:

4
To find the scale factor, we need to know what number we multiply each side length in Figure AAA by to get the corresponding side length in Figure BBB.

Let's see how the corresponding sides relate:

10×4

11×4

18×4

 

=40

=44

=72

Read the question and help me, please.​

Answers

Answer: B) 6

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

Explanation:

Add the equations by adding the terms straight down.

The x terms add to x+x = 2x.

The y terms add to y+(-y) = y-y = 0y = 0, so the y terms go away

The constants add to 5+7 = 12

The z terms add to -z+z = 0z = 0 and those go away as well

After all that adding, we have 2x = 12 which solves to x = 6 after dividing both sides by 2.

if 3x-9 =12then the value of x is:​

Answers

Answer:

Hey there!

3x-9=12

3x=21

x=7

Let me know if this helps :)

Answer:

x= 7

Step-by-step explanation:

[tex]3x - 9 = 12 \\ collect \: like \: terms \\ 3x = 12 + 9 \\ 3x = 21 \\ divide \: both \: sides \: by \: 3[/tex]

[tex] \frac{3x}{3} = \frac{21}{7} \\ x = 7[/tex]

find the distance between points P(3, 4) and Q(4, -6) If necessary round to the nearest hundredth.

Answers

Answer:

10.05 units

Step-by-step explanation:

We can find the distance between these points using the distance formula. The distance formula is:

[tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

We know that x1 is 3, x2 is 4, y1 is 4, and y2 is -6, so we can substitute inside the equation.

[tex]\sqrt{(4 - 3)^2 + (-6 - 4)^2} \\\\\sqrt{1^2 + -10^2} \\\\\sqrt{1 + 100} \\\\\sqrt{101} \\\\\approx10.05[/tex]

Hope this helped!

What is the equation of the circle with center (–2, 5) that passes through the point (–3, 8)?

Answers

(X-(-2))2+(y-5)2=10

Is the third

|4x + 8| + 12= 4 I subtracted 12 by 4 and got -8. Would I still solve the equation or would it be no solution?

Answers

Answer:

no solution

Step-by-step explanation:

|4x + 8| + 12= 4

Subtract 12

|4x + 8| = -8

An absolute value must be non negative

Since ours is negative, there is no solution

Solve for x in the equation below(all in picture).

Answers

Answer:

x = - 5, x = 2

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

note that log x = [tex]log_{10}[/tex] x

Given

log (x² + 3x) - log10 = 0, then

log([tex]\frac{x^2+3x}{10}[/tex] ) = 0, thus

[tex]\frac{x^2+3x}{10}[/tex] = [tex]10^{0}[/tex] = 1 ( multiply both sides by 10 )

x² + 3x = 10 ( subtract 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Solution is x = - 5, x = 2

Answer:

The equation has the solution(s) x = - 5, and x = 2

Step-by-step explanation:

Let's start by adding log(10) to either side of the equation --- (1)

[tex]\log _{10}\left(x^2+3x\right)-\log _{10}\left(10\right)+\log _{10}\left(10\right)=0+\log _{10}\left(10\right)[/tex]

= [tex]\log _{10}\left(x^2+3x\right)=\log _{10}\left(10\right)[/tex]

If you recall, one property proves that [tex]\log _{10}\left(10\right):\qu 1[/tex]. We can substitute this value back into the simplified equation --- (2)

[tex]\log _{10}\left(x^2+3x\right)=1[/tex]

We can also apply the logarithmic definition, If logₐ(b) = c then b = aᶜ. Using this definition we receive a further simplified equation --- (3)

[tex]x^2+3x=10^1[/tex]

[tex]x^2+3x=10[/tex]

Solving for the expression we receive the solution(s) x = 2, and x = - 5, our first option.

Note : The first solution is correct, but I wanted to take a slightly different approach

(a+3) (a-3)find the products ​

Answers

Answer:

a^2-9

Step-by-step explanation:

Given that g(x) = 3x - 5, evaluate g(4 + h)
————
h

Answers

Answer:

3h+7/h

Step-by-step explanation:

the parenthesis in g(4+h) is saying that is x. plug in 4+h in the x and evaluate.

so you would get 3(4+h)-5. distribute the 3 and get 12+3h-5. combine like terms to get 3h+7!

then it's just over h because you can't simplify anymore. so the real answer is 3h+7/h!!

The answer is 3h + 7

The length of a rectangle is 6 feet more than three times the width of the
rectangle. The length of the rectangle is 24 feet. What is the width of the
rectangle?

Answers

Answer:

width = 6 feet

Step-by-step explanation:

let l be the length of the rectangle

let w be the width of the rectangle

The statement

The length of a rectangle is 6 feet more than three times the width of the

rectangle is written as

l = 6 + 3w

From the question

l = 24 feet

Substitute the value into the above formula and solve for the width

That's

24 = 6 + 3w

3w = 24 - 6

3w = 18

Divide both sides by 3

w = 6

Therefore

width = 6 feet

Hope this helps you

Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18.

Answers

Answer:

4.5

Step-by-step explanation:

→ Set up the direct proportion equation

z = kx

→ Substitute in the values

12 = 3k

→ Divide both sides by 3 to isolate k

4 = k

→ Substitute the value of k back into the original direct proportion equation

z = 4x

→ Substitute the value of z in

18 = 4x

→ Divide both sides by 4 to isolate x

4.5 = x

Answer:

4.5

Step-by-step explanation:

Find the value of m. A. 32 B. 50 C. 63 D. 74

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                     PEACE!

A scuba diver started her dive at 2{:}42 \text { p.M.}2:42 p.M.2, colon, 42, start text, space, p, point, m, point, end text and finished diving at 3{:}17 \text { p.M.}3:17 p.M.3, colon, 17, start text, space, p, point, m, point, end text How long did the dive last?

Answers

Answer:

35 minutes

Step-by-step explanation:

From 2:42 to 3:00, there are 18 minutes and from 3:00 to 3:17, there are 17 minutes so the answer is 18 + 17 = 35 minutes.

Go to my profile and go to the question where it says “what is the simplified expression.....” and please answer I need help!!

Answers

Answer:

Noun. (plural simplified expressions) (mathematics) an expression that has been condensed and shortened, so that all the like terms have been combined.

Step-by-step explanation:

you are welcome!

Answer:

i answered all of them!

Step-by-step explanation:

PLZ HELP Find the value of x that makes ΔXYZ~PQR

Answers

Answer:

x = 8

Step-by-step explanation:

[tex] \triangle XYZ \sim\triangle PQR... (GIVEN) \\

\therefore \frac{XY}{PQ} = \frac{YZ}{QR}.. (csst) \\

\therefore \frac{20}{30}= \frac{x+6}{21}\\

\therefore \frac{2}{3}= \frac{x+6}{21}\\

\therefore \frac{2\times 21}{3}= {x+6}\\

\therefore 14= {x+6}\\

\therefore 14-6= {x}\\

\therefore 8= {x}\\

\huge \orange{\boxed {\therefore x = 8}} [/tex]

How do I solve this? Please explain step by step,thankyou!

Answers

Answer:

Hey there!

Angle x would be 62 degrees because angles in a triangle add to 180 degrees.

Let me know if this helps :)

Answer:

x = 62 degrees

Step-by-step explanation:

Total degrees of a triangle = 180

=> 68.5 + 49.5 + x = 180

=> 118 + x = 180

=> 118 - 118 + x = 180 - 118

=> x = 62

f(x) = 7x − 13. Find f−1(x)

Answers

Answer: F-1(x) = (x + 13)/7

Explanation:

Inverse of f(x) = 7x - 13

f-1(x) = (x + 13)/7

A hubcap has a radius of 14 centimeters. What is the area of the hubcap?asap pls

Answers

Answer:

The area of the hubcap is 196π or 615.7521601

Step-by-step explanation:

You can use A=πr² to find the area of a circle. So that would mean that A equals 14². 14²=196. If the answer is in π form, then the answer is 196π. If not then its 196·π. 196·π=615.7521601

Hope that helps!

Answer:

The area of the hubcap is about 615.44 cm²

Step-by-step explanation:

A = πr²

 Use the formula.

A = π(14)²

 Substitute. Use 14 for r.

A ≈ 3.14 × 14²

 Substitute. Use 3.14 for π.

A ≈ 3.14 × 196 Evaluate the power.

A ≈ 615.44 Multiply.

HELP!!!
Which of the following data sets is illustrated by this stem and leaf plot?

Answers

Answer:

it will be A. good buddy

Step-by-step explanation:

The data represented by given stem and leaf display is 25, 26, 27, 53, 58, 62, 67, 69, 96, 96, 123. The correct option is B.

What is a stemplot?

A stem-and-leaf display, also known as a stem-and-leaf plot, is a technique used to visualize the shape of distribution by displaying data in a graphical fashion, similar to a histogram.

The data represented by the different rows of stem-and-leaf display is,

First row → 25, 26, 27

Second row → 53, 58

Third row → 62, 67, 69

Fourth Row → 96, 96

Fifth Row → 123

Hence, the data represented by given stem and leaf display is 25, 26, 27, 53, 58, 62, 67, 69, 96, 96, 123.

Learn more about Stemplot here:

https://brainly.com/question/9125085

#SPJ2

Solve the equation. Write no solution if there is none

Answers

Answer:

no solution

Step-by-step explanation:

|m|/2 -1=-3

step 1= |m|/2=-3+1

step 2=|m|/2=-2

Step 3: Solve Absolute Value.

  |m|=−4

No solutions. (Absolute value cannot be less than 0.)

Greetings,

I hope you and your family are staying safe and healthy!

Answer: No Solution

Step-by-step explanation:

[tex]\frac{|m|}{2} - 1 = -3\\\\\frac{|m|-2}{2} = -3\\\\[/tex]

Alternate forms assuming m > 0

[tex]\frac{m}{2} -1 = -3\\\\\frac{m-2}{2} = -2[/tex]

[tex]\frac{\sqrt{m^2} }{2} - 1 = -3[/tex]

Therefore,

No solutions exist.

I guaranteed correct answers only. Please kindly rate my answer and press the heart. Thanks!

Find the mistake made in the steps to solve the equation below.
61 - 1 = -21 + 9
81 - 1 = 9
80 = 10
1. Addition property of
equality
2. Addition property of equality
3. Division property of equality
to
I
CHA
4. Simplification
OA. The justification for step 2 is incorrect and should be the subtraction property of equality.
OB. Step 3 is incorrect and should be r = 100
OC. Step 2 is incorrect and should be r = 8.
OD. The justification for step 3 is incorrect and should be the multiplication property of equality,

Answers

Answer:

A

Step-by-step explanation:

A

The mistake made in the justification for step 2 is incorrect and should be the subtraction property of equality. which is the correct answer would be an option (A).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

6x - 1 = -2x + 9

Addition property of equality

8x - 1 = 9

Subtraction property of equality

8x = 10

Division property of equality

x = 10/8

Simplification

x = 5/4

Thus, the mistake made in the justification for step 2 is incorrect and should be the subtraction property of equality.

Hence, the correct answer would be option (A).

Learn more about the equation here:

brainly.com/question/13947055

#SPJ5

Joan is filling a 2-liter soda bottle with different colors of sand to make an art project for her class. She has 1,000 milliliters of
red sand, 35 centiliters of blue sand, and 2,5 deciliters of yellow sand in the bottle, but it is not full yet. How many liters of
purple sand will she need to use to have the bottle completely full?

Answers

Answer:

0.4 l of purple sand

Step-by-step explanation:

Volume to be filled in:

2 liter = 2000 ml

Red sand

1000 ml

Blue sand

35 centiliters = 35*10 ml = 350 ml

Yellow sand

2.5 deciliters = 2.5*100 ml = 250 ml

Total volume filled:

1000 + 350 + 250 = 1600 ml

Purple sand needed:

2000 - 1600 = 400 ml = 0.4 l

Answer is 0.4 l of purple sand required

Simplify the expression: (5 - 4i) (6 - 2i).

Answers

Answer:

22 - 34i

Step-by-step explanation:

note that i² = - 1

Given

(5 - 4i)(6 - 2i) ← expand factors using FOIL

= 30 - 10i - 24i + 8i²

= 30 - 10i - 24i - 8 ← collect like terms

22 - 34i

Answer:

22 - 34i

Step-by-step explanation:

6. Tori and Terry spend the day at the mall. At the end of the ey, se two added up their
purchases and found they spent a total of $107.50, Tori spent $10.00 more fean Tery, Witte
guation that can be used to find how much each girl spent

Answers

Answer:

  y + (y+10) = 107.50

Step-by-step explanation:

Let y represent Terry's purchases. Then Tori's purchases are (y+10). The sum of their purchases is given by the equation ...

  y + (y+10) = 107.50

_____

Then y = 48.75 represents Terry's spending, while y+10 = 58.75 represents Tori's spending.

Four consecutive even integers are such that the sum of the second and fourth is 76. What is the sum of the first and third integers?

Answers

Answer:

72

Step-by-step explanation:

Consecutive even integers have a difference of 2 between them

let n be the first integer, then

n + 2, n + 4, n + 6 are the second, third and fourth, then

n + 2 + n + 6 = 76 ( sum of second and fourth )

2n + 8 = 76 ( subtract 8 from both sides )

2n = 68 ( divide both sides by 2 )

n = 34

Thus the 4 even integers are

34, 36, 38, 40

sum of first and third = 34 + 38 = 72

Name a point on the point

Answers

Answer:

B

Step-by-step explanation:

the question is asking to name any point, B is a point that falls on the graph

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