Mathematics Middle School

If x varies directly as y, and x = 200 when y = 11, find y when x = 500. Please algebraic solution :) thanks!

Answers

Answer 1

Answer:

x ⠀⠀200⠀⠀ ⠀500

y⠀⠀⠀ 11⠀⠀⠀⠀⠀a

As x directly varies with y

200 × a = 500 × 11

a = 5/2 × 11 = 27.5

Answer 2

Answer:

y = 27.5

Step-by-step explanation:

We know that directly proportional equations usually come in the format of

y = k × x where 'k' is the constant. In this problem we are presented with a directly proportional questions asking us to find y when x= 500 considering that y varies directly with x and x = 200 when y = 11. So let's substitute in the values

→ y = k × x

⇒ Substitute in the first set of values which is x = 200 and y = 11

→ 11 = k × 200

⇒ Divide both sides by 200 to isolate 'k'

→ 0.055 = k

Now we know that the constant is 0.055 we can substitute the second set of values in,

→ y = 0.055 × x

⇒ Substitute in the second value which is x = 500

→ y = 0.055 × 500

⇒ Simplify

→ y = 27.5

If y varies directly with x and x = 200 and y = 11, the value of y when x = 500 is 27.5

Related Questions

Can you solve this for me? Thank you! :>

Answers

Answer:

Whatever you do one one side of the equal sign, you must do on the other side.

Step-by-step explanation:

It’s D “Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal side.

An oil company drilled several wells. Fifty wells, or 25%, produced oil. What is the total number of wells that were drilled? *

A-50
B-100
C-125
D-200

Answers

Answer:

I think it's D

Step-by-step explanation:

because if

50 = 25%

100 = 50%

200 = 100%

I think it’s D because if you reread the question it says what is the total number, and D is 200 rather than C (125), I don’t think this helps but it’s a choice

Rearrange the equation so xxx is the independent variable.
-5x-4y=-8
y=

Answers

Answer:

$\displaystyle x = \frac{4y - 8}{-5}$

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle -5x - 4y = -8$

Step 2: Solve for x

[Addition Property of Equality] Add 4y on both sides: $\displaystyle -5x = 4y - 8$[Division Property of Equality] Divide -5 on both sides: $\displaystyle x = \frac{4y - 8}{-5}$

Answer:

4y-8/ -5

Step-by-step explanation:

Every time Carrie bakes a batch of brownies, she uses 1/8 cup of chocolate. If she has 1/2 cup(s) of chocolate remaining, how many batches of brownies can Carrie make? Input your answer as a whole number.

Answers

1/8 + 1/8 +1/8 +1/8 is the same as 1/2. Each 1/8 represents 1 batch. (1/8*4=4/8 which is equivalent to 1/2)

Step-by-step explanation:

Answer: 4

Explanation: 1/8 + 1/8 + 1/8 + 1/8= 1/2

pls answer im desperate pls

Answers

Answer:

your answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Express the area of the entire triangle?
What is the area?

Answers

Answer:

2x+21

Step-by-step explanation:

Area=Base*height

(x+7)*(x+3)

x*x=2x

7*3=21

2x+21

Answer:

Area=Base*height

(x+7)*(x+3)

x*x=2x

7*3=21

2x+21

River otters drink about 5 times as much water as a bald eagle drinks in a day.

How much water can a river otter drink in six days?

Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16

Answers

5 times .16=.8
.8 times 6= 4.8
Answer=4.8?

1. Can someone help me with math

Answers

Answer:

I am pretty sure it is 1.

Step-by-step explanation:

I am doing addition and subtraction methods.

The answer Is 1 I know this beCise I did it in 2 grade

The question is in the picture bellow.

Answers

Answer:

Step-by-step explanation:

Solid dot means that number and beyond in whichever way the arrow is pointing

I need help with this question, I'm not very good at math and all help is appreciated!

Answers

Answer:

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer: A

Step-by-step explanation:

$\frac{J}{H} = G + \frac{I}{H}$ >Since you are solving for H bring I/H to the other side

by subtracting I/H from both sides

$\frac{J}{H}- \frac{I}{H} = G$ >There is a common denominator so you can

combine the fractions

$\frac{J-I}{H} = G$ >Multiply both sides by H or cross multiply whichever

way your mind things about how to get H on top

$J-I = G(H)$ >Divide both sides by G

$\frac{J-I}{G} = H$ >Answer is A

Solve for x.

−1.5x−3.1<5.5

Answers

Answer:

x>−5.733333

Step-by-step explanation:

The answer is:
x>-5.73

help please fasttttttttttttttttttt

Answers

Answer: I think it's 4.

By multiplying by 4 it would equal -8, which would then cancel out the positive 8 in the equation above. Which would cancel out the y-terms

i believe the answer is 4

I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would appreciate it!

Answers

How can you find width if This is 2d

PLS HELP ! Solve the addition equation by finding a common multiple. one half + two thirds + four sixths equals ___

Answers

Answer: 1/2 + 2/3 + 4 /6 = 11/6

Step-by-step explanation:

1/2 + 2/3 + 4 /6

We need to find a common multiple, for the denominator. Let us choose 6, so we do not have to deal with large numbers.

Note that we do not change 4/6, since it already has a denominator of 6.

==> 3/6 + 4/6 + 4/6

Add;

==> 11/6

3/6 + 4/6 + 4/6 equal to 11/6

Hope this helped!

1/2 + 2/3 + 4/6 = 11/6

A robot can complete 4 tasks in 5/6 hour. Each task takes the same amount of time. a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour? a. It takes the robot nothing hour(s) to complete one task.

Answers

It takes the robot 10 mins for each task the robot can complete 6 tasks in an hour

please help me i will give brainliest to first person to anwser.

Answers

A. 1607.7

First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

$\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}$

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

$\hrulefill$

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

-3x+ 5
2. = -2
Solve this equation (this is URGENT)

Answers

Answer:

Step-by-step explanation:

-3x + 52 = 2

54 = 3x

x = 18

The Taieri Plain in New Zealand is 6 feet below sea level (or –6 feet). If you are standing 3 feet above sea level, is your elevation the opposite of the elevation of the plain? Describe the steps you would follow with a vertical number line to find the answer.

sorry messed up on the last one

Answers

You would be 3ft above the sea level, if you are -6ft under the sea level and if you are standing 3ft “above” you would have to clime back up 9ft to get back to the positive’s which is “positive 3” so yes, your elevation will be opposite of the “plain” since you went to a -6 to a positive 3, with different numbers.

Which of the following graphs shows all the possible values for a number that is at least 6?

a) Number line with closed circle on 6 and shading to the left.

b) Number line with closed circle on 6 and shading to the right.

c) Number line with open circle on 6 and shading to the left.

d) Number line with open circle on 6 and shading to the right.

Answers

The correct answer is:

b) Number line with closed circle on 6 and shading to the right.

This graph represents all the possible values for a number that is at least 6. The closed circle at 6 indicates that 6 is included in the possible values, and the shading to the right indicates that the values extend beyond 6 in the positive direction.

Banana Cupcakes
makes 10 cupcakes

1 cup granulated sugar

cup vegetable oil

1 large egg

4 tablespoons sour cream

2 medium-sized ripe bananas, mashed

1 cups all-purpose flour

1 teaspoon baking soda

teaspoon salt

1 teaspoon vanilla extract

pinch of nutmeg

You will use the recipe above to answer the following questions:

This recipe serves 10, but you need to serve 30. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How much vegetable oil do you need for 30 cupcakes?
How much flour do you need for 30 cupcakes?
What is the difference in the amount of vanilla extract you would need for 30 cupcakes?
What is the difference in the amount of salt you would need for 30 cupcakes?
In the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. Which ingredient would it make more sense to round rather than coming up with the exact amount? Why?

Answers

Answer: Hey give me 1 hour and ill answer it I'm doing odessyware rn so Ill get back to you later appreciate yo patients.

Step-by-step explanation:

Here we have a recipe that works for 10 serves.
Then, if we want to make 30 servings, we need to use that recipe 3 times. (because x*10 = 30, then x = 30/10 = 3)
This would be equivalent to multiply each ingredient by 3.
for 30 cupcakes we need:
3 cups of vegetable oil.
3 cups of all-purpose flour
(because for each one of these ingredients we needed only 1 cup to make 10 cupcakes).
for 10 cupcakes we need 1 teaspoon of vanilla.
for 30 cupcakes we need 3 teaspoons of vanilla, the difference is 3 - 1 = 2.
So the difference is 2 teaspoons.
About which quantities we should round are those where we may have mixed numbers or big numbers.
For example, we have 4 tablespoons of sour cream for 10 servings, then for 30 servings we should have:
3*4 = 12 tablespoons.
We could round this down to 10 tablespoons.

Hope this helped

I almost broke my brain doing this so can you give me brainliest answer please thank you

Question is there ⬇️⬇️⬇️⬇️⬇️⬇️⬇️

Answers

Answer:

4.9

Step-by-step explanation:

for this I used the sine rule so I did 6/sin 70 × sin 50

The answer would be 4.9

15 points to whoever answers this!!

Answers

Answer:

$\frac{16}{27}$

Step-by-step explanation:

From the table, we notice that the total number of students is:

$3+10+8+6=27$

Then, along the second column of the table, we notice that the number of students who do not have a brother is:

$10+6=16$

So, the probability that a randomly chosen student does not have a brother is:

$\frac{\text{number of students who do not have a brother}}{\text{total number of students}}=\frac{16}{27}$

16 over 27 sorry if i’m wrong.

A group of students held a fundraiser last year and raised $950 for charity. This year, they raised $1,045.

What is the percent change in the amount the group raised?

%

Answers

10% I believe, sorry if this is wrong

Answer:

10%

Step-by-step explanation:

1045 subtracted from 950 you get 95

Make fraction

95/950

Change over original

95 divided by 950

You get 0.10

As percent 10 %

4-5g>39
The answer???

Answers

Answer:g<-7

Step-by-step explanation:

4-5g>39

-4 from both side

-5g>35

divide -5 from both side

g<-7

if you divide the negative number the sign will switch <

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.

Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside

Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice

Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

ughhhhhhhhh last one

Answers

Answer:

c) x=13

Step-by-step explanation:

4x + 2 = 90 − 36

Step 1: Simplify both sides of the equation.

4x + 2 = 90 − 36

4x + 2 = 90 + −36

4x + 2 = (90 + −36) (Combine Like Terms)

4x + 2 = 54

Step 2: Subtract 2 from both sides.

4x + 2 − 2 = 54 − 2

4x = 52

Step 3: Divide both sides by 4.

4x/ 4 = 52/ 4

x=13

if you need a shorter way to get this... is to do what i did and just used MathPapa's algebra calculator and put in "4x + 2 = 90 - 36" cause that's basically what the question is asking you to use... im not saying to do my method... im just saying that's how i got it

Ω Entity001 And Project Omega Ω

Please help! Thank you!

Answers

Answer:

525

Step-by-step explanation:

If it's just asking to find the average of heads then times it by 20 then just do 32+28+21+24 to get 105 and divide it by 4 to get 26.25 then times it by 20 since this is the average of 50 throws and it's asking for the average of 1,000 throws which is 525

525 I ain’t adding nothing because your mom ate this d last night

ILL GIVE BRAINLIEST PLS SOLVE ALL
7TH GRADE

Answers

Answer:

I'm not sure how it wants the inequalities for these

18. 18

19. 20

8A:

1) a. 7/25 b. 79/50 c. 31/250 d. 33/500

2) a. 0.04 b. 6.33 c. 0.0002 d. 0.336666667

3) a. 60% b. 90% c. 4.8% d. 120% e. 48% f. 124%

Apologies if not all are correct :)

An hourglass is turned over with the top part filled with sand. After 3 minutes, there are 855 mL of sand in the top half. After 10 minutes, there are 750 mL of sand in the top half. Select the equation that represents this situation.

A y = −10.5x + 900 B y = 285x
C y = 75x D y = −15x + 900

Answers

Answer:

Step-by-step explanation:

7 x 12?
15 x 15?
29 x 29?
99 x 99?
1000 x 235?
thats all.
I just lost a friend (╥_╥)

Answers

Answer:

7 times 12 is 84

15 x 15 = 225

29 x 29 = 841

99 x 99= 9801

1000 x 235= 235000

Step-by-step explanation:

I am so sorry to hear that, it would be nice if you would Brainliest my answer :D Blessings to you and youre friends family!!

Answer:

7x12=84

15x15=225

29x29=841

99x99=9,801

1,000x235=235,000

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Question 8 (1 point) If a loop of wire carrying a clockwise current were put on a tabletop, which way would the generated magnetic field point? straight up to the right Ostraight down counter-clockwis What is the focus of informational writing? (1 point)to tell stories of a personal natureto show concepts and explain themto classify and organize categories to tell a person's opinion about a topic A. Identify the scale of analysis for the data provided in both maps..B. Orange production is a type of specialty agriculture. Describe ONE characteristic of specialty agriculture..C. Describe the spatial pattern of orange cultivation in Florida..D. Explain ONE barrier to agricultural development that prevents counties in South Floridafrom producing oranges as a crop..E. Explain ONE barrier to agricultural devjlopment that prevents counties in North Floridafrom producing oranges as a crop..F. In the world map the United States appears to be a large producer of oranges. Explainhow the world map misrepresents the scale of production for the cultivation of orangesin the United States..G. Using the maps explain how oranges, as a global food source, are part of a commoditychain within multinational agribusiness corporations. the enzyme that functions to remove the amino group from the amino acid phenylalanine is called People who wish to celebrate their love may do so with this ceremony. la boda el beso el abrazo el esposo Other things the same, an increase in the price level makes consumers feel. when susie takes up smoking, the cost of her insurance coverage goes up. this is a result of: A new car's original price is $13,999. If it's on salefor 10% off, what's the new price? is the pH of a strong acid higher or lower than the pH of a weak acid of the same concentration? if she decides to construct a complete portfolio by choosing one risky portfolio and a risk -free asset, what will determine the risky portfolio choice for kamla's investment? the cost of a firms internal common equity is generally higher than the costs of a firms external common equity due to issuance costs. (True or False) Why is it important for people to study the Holocaust 2x-3=-x^2Solve the equation by graphing the related function and finding its zeros. Bigbux Savings and Loan agreed to extend Appleman's Orchards $250,000 of unsecured short-term funds, contingent upon the bank having the funds available. This arrangement represents a Multiple Choice factoring agreement. line of credit. trade voucher. pledge agreement. If a foreign direct investment opportunity is seen as favorable for both home and host countries, home country would and the host country would Apply exchange control; request performance requirements Provide low interest loan; demand significant equity to be from a local investor Eliminate double taxation; invest in infrastructure Give tax concessions; provide insurance songhi empire trade facts ? Power generation based on the high and low tide stream have been investigated. Consider a water current turbine with 1 m diameter rotor. Speed of the rotor at 1.2 m/s water velocity is 55 rev/min and its power coefficient at this point is 0.30. Calculate the tip speed ratio and torque coefficient of the turbine. Calculate the torque available at the rotor shaft. Assume the specific gravity of seawater to be 1.02. begin by finding the area under the curve from to , . this area can be written as the definite integral Consider the following hexadecimal input and output values for a shift microoperation. Determine the shift type, direction and amount to achieve the transformation. You do not need to consider overflows. Abby is collecting rainfall data. She finds that one value of the data set is a high-value outlier. Which statement must be true?.