Q: The ratio of the numbers of Nick's marbles to Michael's is 3:5. Nick has 36 marbles. If Nick receives
another 9 marbles, what will be the new ratio of the number of Nick's marbles to Michael's?

Answers

Answer 1

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} = \frac{36}{x}[/tex]

3x = 36 x 5

3x = 180

x = 60

Michael has 60 marbles.

Nick recieves 9 more marbles so he has 36 + 9 = 45 marbles

The new ratio will be:

[tex]\frac{45}{60}[/tex]  = [tex]\frac{3}{4}[/tex]


Related Questions

Write a multiplication expression that can be used to solve 2/3a = 30.

Answers

Answer:

a=45

Solution:We need to multiply both sides by 3 in order to get rid of the denominator, 3:2/3a•3=30•32a=90Divide both sides by 2:a=45

Hope it helps.

Do comment if you have any query.

pls help!! i rlly need this quick

Answers

Answer:

See below ~

Step-by-step explanation:

Combination Rule

ⁿCₓ = n! / (n - x)! x!

#1) ²²C₂₀

²²C₂₀ = 22! / 2! 20!22 x 21 x 20! / 2! x 20!22 x 21 / 211 x 21231

#2) ¹²C₈

¹²C₈ = 12! / 4! 8!12 x 11 x 10 x 9 x 8! / 4! x 8!12 x 11 x 10 x 9 / 4 x 3 x 211 x 5 x 999 x 5495

Answer:

[tex]\displaystyle ^{22}C_{20} =231[/tex]

[tex]\displaystyle ^{12}C_{8} =495[/tex]

Step-by-step explanation:

Binomial Coefficients

[tex]\displaystyle \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{(n-r)! \, r!}[/tex]

[tex]\begin{aligned}\displaystyle \implies ^{22}C_{20} & = \frac{22!}{(22-20)! \, 20!}\\\\ & =\frac{22!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21 \cdot 20!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21}{2 \cdot 1}\\\\ & =\frac{462}{2}\\\\ & =231\end{ailgned}[/tex]

[tex]\displaystyle \begin{aligned} \implies ^{12}C_{8} & = \frac{12!}{(12-8)! \, 8!}\\\\ & =\frac{12!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9}{4 \cdot 3 \cdot 2 \cdot 1}\\\\ & =\frac{11880}{24}\\\\ & =495\end{aligned}[/tex]

The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
situation?

Answers

Answer:

so the answer is tyrany because i love to talk aboutheaarts so this is waht happened

Step-by-step explanation:

in which age bracket does the most number of parcitipants fall?​

Answers

The most number of participants fall on the age bracket of 37-39.

hope this helps

5 5/8 as an improper fraction

Answers

The improper fraction is 45/8.

Answer:

45/8

Step-by-step explanation:

to get an improper fraction, you multiply the denominator by the whole number and add the numerator to the total. So for this problem 5(8)=40+5= 45/8

20 points given and brainiest for correct answer

Answers

Answer:

B is correct

I = (5200)(0.06)(2.5)

Step-by-step explanation:

Brainliest would be very much appreciated

Should be the second choice, or
“I = (5200)(0.06)(2.5)”
Because you are trying to find the interest so I = the interest of 5200 and the 6% in a decimals form is 0.06 and times that with the year

A 2-column table with 6 rows. the first column is labeled week with entries 1, 2, 4, 6, 8, 10. the second column is labeled miles run with entries 5, 8, 13, 15, 19, 20. rita is starting a running program. the table shows the total number of miles she runs in different weeks. what is the equation of the line of best fit for the data? state each number to the thousandths place. y ≈ x

Answers

The line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x

How does linear regression works?

Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least squares method.

The following data for the Week and miles run variables are provided to construct linear regression model:

Week miles run

      1    5

      2    8

      4    13

     6    15

     8    19

    10    20

The independent variable is Week(represented by x), and the dependent variable is miles run(represented by y). In order to compute the regression coefficients, the following table needs to be used:

Let week = x, and miles run = y, then we get this table:

              x      y      xy    [tex]x^2[/tex]     [tex]y^2[/tex]

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

             1       5       5      1      25

             2      8       16    4     64

             4      13      52   16   169

             6     15       90   36  225

            8      19      152   64  361

           10     20     200  100 400

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

Sum =  31   80    515   221  1244

Based on the above table, the following is calculated:

[tex]\bar X = \frac{1}{n} \sum_{i=1}^{n} X_i = \frac{ 31}{ 6} \approx 5.167[/tex]

[tex]\bar Y = \frac{1}{n} \sum_{i=1}^{n} Y_i = \frac{ 80}{ 6} \approx 13.33[/tex]

[tex]\large SS_{XX} = \sum_{i=1}^{n} X_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right)^2 = 221 - 31^2/6 \approx 60.833[/tex]

[tex]\large SS_{YY} = \sum_{i=1}^{n} Y_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} Y_i\right)^2 = 1244 - 80^2/6 \approx 177.33[/tex]

[tex]\large SS_{XY} = \sum_{i=1}^{n} X_i Y_i - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right) \left(\sum_{i=1}^{n} Y_i\right) = 515 - 31 \times 80/6 \approx 101.67[/tex]

Therefore, based on the above calculations, the regression coefficients (the slope m, and the y-intercept n) are obtained as follows:

[tex]m = \frac{SS_{XY}}{SS_{XX}} \approx \frac{ 101.67}{ 60.833} \approx 1.6712[/tex]

[tex]n = \bar Y - \bar X \cdot m = 13.33- 5.167 \times 1.6712 = 4.6986[/tex]

Therefore, we find that the regression equation is:

miles run = 4.6986 + 1.6712 Week

y = 4.6986 + 1.6712x (approximately)

To the thousandths place, it becomes:

y = 4.699 + 1.671x

Therefore, based on the information provided above, the following scatter plot and regression plot are obtained as the image attached below.

Thus, the line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x

Learn more about linear regression here:

https://brainly.com/question/18854090

Answer:

y-1.671

4.699

Step-by-step explanation:

How much water does a cube-shaped tank with equal dimensions of 3.3 feet hold?

Answers

We need the volume

Side=a=3.3ft

Volume:-

a³3.3³35.94ft³

To find how much water the cube can hold

   ⇒ must find volume

      ⇒ which is the amount of space that a shape occupies, or

          that is enclosed within the shape

The volume of a cube-shaped tank:

    ⇒ is the length, width, and height multiplied together

       ⇒ since this is a cube, all the side lengths are equal

           ⇒ Volume = (side-length)^3

Based on the information given

  ⇒ side-length is 3.3 feet

Therefore:

  Volume = [tex]3.3^3 = 35.937ft^3[/tex]

Thus the cube-shaped tank can hold 35.937 cubic feet of water

Answer: 35.937 cubic feet of water

Hope that helps!

what value makes the following equation true? x + 10 = 18

Answers

Answer:

x=8

Solution:In order to determine the value of x that makes the equation true, we need to subtract 10 from both sides:x+10=18x=18-10x=8Therefore, when x=8, the equation x+10=18 is true.

Hope it helps.

Do comment if you have any query.

Answer:

8 + 10 = 18

Step-by-step explanation:

no need for explanation simple addition

The mayor wants to know how the people of the city feel about a bottle tax. she sends her staff to a randomly selected block in each of the city's election districts. the staff members interview all the residents on the block that are home that day. what is the population? all the people in the city all the people who live on the block all the people who live on the block and are home that day

Answers

The population is all the people in the city, and sample is all the people who live on the block and are home that day.

What are population and sample?

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts.

According to the definition of the population, we can say that the population is all the people in the city because they are the same entity which have to be tested to know how the people of the city feel about a bottle tax.

If we identify the sample, so the sample is all the people who live on the block and are home when the staff members interview all the resident on the block that are home that day.

Thus, the population is all the people in the city and sample is all the people who live on the block and are home that day.

Learn more about the population and sample here:

brainly.com/question/9295991

Answer:

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts. The staff members interview all the residents on the block that are home that day.

(A) or All the people in the city

the second part (C) or all the people who live on the block and are home that day

Step-by-step explanation:

got it right on edg

If CDEF is a kite, CD =15 find CG

Answers

Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

CG = 12

Hope this helped

A. 5
B. 7
C. 2.6
D. 5.5

Answers

Answer:

A  5    is the distance between

Step-by-step explanation:

(-2 -2)^2   +  ( 0-3)^2 = d^2

d = 5

Find the circumference and area of a circle with diameter 4 cm.
HELP ASAP PLS​

Answers

Step-by-step explanation:

the formulas can be easily found on the internet.

remember, the diameter of a circle is 2 times the radius.

so, the radius of our circle here is 4/2 = 2 cm.

circumference :

2×pi×r = 2×3.14×2 = 12.56 cm

area :

pi×r² = 3.14×2² = 3.14×4 = 12.56 cm²

hey, your teacher gave you the circle, where the circumference and the area have the same quantity ! funny !

so, make double sure you use the correct unit dimensions (remember, a distance has only one dimension, an area has 2 dimensions, and a volume has 3 dimensions).

If the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942 if they make a minimum payment of $175 each month and no additional purchases are made? months.

Answers

The payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

Loan amount = $7942, Monthy pay = $175, Interest rate = 17.11%

After calculating from the payment formula:

The payoff =  6.13 years = 73.56 months

Thus, the payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ1

i need help its 7th grade area surface

Answers

Answer:

729 square inches

Step-by-step explanation:

9^3 or 9×9×9

(im not sure but i think thats it)

if 1 foot equals 20 feet, 151 feet = ? (scale factor)

Answers

Answer:

3020

Step-by-step explanation:

Please help just this that's all​

Answers

Answer:

7 × 10⁴ (option D.)

Step-by-step explanation:

Take the missing value as 'x'.

5 × 10³ + x = 7.5 × 10⁴

x = (7.5 × 10⁴) - (5 × 10³)

x = (7.5 × 10000) - (5 × 1000)

x = 75000 - 5000

x = 70000

x = 7 × 10⁴ (option D.)

______

Hope it helps ⚜

given:

[tex]5 \times {10}^{3} + ....... = 7.5 \times {10}^{4} [/tex]

to find:

the true equation

solution:

let the unknown be y

[tex]y = (7.5 \times {10}^{4} ) - (5 \times {10}^{3} )[/tex]

[tex]y = (7.5 \times 10000) - (5 \times 1000)[/tex]

[tex]y = 75000 - 5000[/tex]

[tex]y = 70000[/tex]

[tex]y = 7 \times {10}^{4} [/tex]

therefore, the correct answer is option D

PLEASE HELP just need a quick answer!!! will give brainly!!!

A moving-van rental company uses the polynomial 130 + 0. 75(m – 200) to calculate the rental charges if a customer drives a van more than 200 miles in one day. In the polynomial, m is the total number of miles that the customer drove the van during the day. Use the Distributive Property to write an equivalent expression for the total cost of renting the van and driving it more than 200 miles in one day

Answers

Answer:

im not sure but i think this is the answer

Step-by-step explanation:

I think it would be 130 + 0.75m

Which simplified could be 130.75m Hope it helps! :)

Answer:

0.75m - 20

[tex]130+0.75\left(m-200\right)\ =\ 0.75m-20[/tex]

Step-by-step explanation:

[tex]0.75(m-200) + 130[/tex]

The slope is 0.75

Substitute m for 0 ( [tex]0.75(-200) + 130[/tex])

Evaluate the equation ( [tex]0.75(-200) + 130[/tex]) = -20, this is the y-intercept

now the equation is [tex]slope + intercept[/tex] = [tex]0.75 -20[/tex]

Can someone help me with these 3 questions? I need them asap (Test) Screenshots are below! I will give 15 pts!

Answers

Answer:

Pythagorean Theorom: [tex]a^2+b^2=c^2[/tex]

Triangle #1

[tex]21^2+x^2=29^2[/tex]

[tex]x^2=29^2-21^2[/tex]

[tex]x=\sqrt{841-441} =\sqrt{400}=20[/tex]

Triangle #2

[tex]1.6^2+3.0^2=x^2[/tex]

[tex]x=\sqrt{1.6^2+3.0^2}=\sqrt{11.56} =3.4[/tex]

Triangle #3

[tex]x^2+40^2=41^2[/tex]

[tex]x=\sqrt{41^2-40^2}=\sqrt{81} =9[/tex]

I hope this helps!

A music store charges for lessons
according to the table below. If the store
charges a constant rate of dollars to time,
which of the following could fill the empty
row?
Time (min) Cost

a. 50 minutes for $40
o Yes O No
b. 60 minutes for $42
o Yes No
c. 70 minutes for $56
o Yes No
d. 90 minutes for $72
o Yes No

Answers

Rate of change:-

(30,24)(40,32)

Slope:-

m=32-24/40-30m=8/10=4/5

So

Next time is off course 50 .

Price should be calculated

y=50(4/5)=10(4)=40

Option A✓

Check all

Option B:-

42=(4/5)(60)42=4(12)

No

Option C

56=4/5(70)56=4(14)

yes

Option D

72=4/5(90)72=4(18)

Yes

A survey of customers at a restaurant revealed that 7 out of 10 customers preferred the restaurants new spaghetti sauce. Which graph shows a relationship between y, the number of customers who preferred the new spaghetti sauce, and x, the total of customers?

Answers

The graph that shows the proportional relationship y = 0.7x is Graph A.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, 7 out of 10 customers preferred the restaurants new spaghetti sauce, hence the constant is given by:

k = 7/10 = 0.7.

And the equation is:

y = 0.7x.

When x = 0, y = 0, which already eliminates graphs C and D. When x = 10, y = 7, which means that Graph A is the answer to this question.

More can be learned about proportional relationships at https://brainly.com/question/10424180

If abcd is also a rhombus, what must be the value of x? 13 15 18 23

Answers

Answer: it’s 13

Step-by-step explanation:

I just took the Unit Test On Edge2022

Julia T. earns $22.22 per hour. What is her straight time pay for a 36-hour week?

Answers

Answer:  her pay was $799.92

Step-by-step explanation:

multiply the number of hours she worked by her pay per hour:

22.22(36)

= 799.92

Answer:

given:

hours worked=36hours

payment per hour=$22.22

to find:

payment in a week

solution: 22.22×36

=799.92$

ans:her total pay for a 36 hour week is $799.92

How to do the circumference of a semicircle with a radius of 7 1/2.

Answers

Answer:

38.6 units (nearest tenth)

Step-by-step explanation:

Formulae

Diameter = 2r Circumference = 2πr

(where r is the radius)

Circumference of a semicircle = diameter + half the circumference

⇒ Circumference of a semicircle = 2r + πr

Given:

[tex]\sf radius\:{(r)=7\frac12=7.5[/tex]

[tex]\begin{aligned}\implies \textsf{Circumference of semicircle} & = 2(7.5) + \pi(7.5)\\ & = 15+7.5 \pi\\ & = 38.5619449...\\ & = 38.6\:\sf units\:(nearest\:tenth)\end{aligned}[/tex]

Radius=r=7.5units

Circumference

πr+2rr(π+2)7.5(3.14+2)7.5(5.14)38.6units²

A solid shape is made by joining two cones.
Each cone has the same radius.
One cone has
slant height = 2 × radius
The other cone has slant height = 3 × radius
The total surface area of the shape is 135. 21 cm²
Curved surface area of a cone = tırl where r is the radius and / is the slant height
Work out the radius. ​

Answers

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

How to determine the radius?

The given parameters are:

Cone 1: slant height, l = 2rCone 2: slant height, L = 3rSurface area = 135. 21 cm²

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

https://brainly.com/question/6613758

Help me quickly please, im not good at this kind of math.

Answers

Answer:

*Bottom*

Step-by-step explanation:

so hat is $8.50

gloves are $51

cleats are $85

cleats are $76.50 more than the hat.

A rectangle measures 9 4/5 meters 5 3/4 meters. What is its area?

Answers

Answer:

56.35 meters squared

Step-by-step explanation:

lmk if its inches

Solve the following....
[tex]2(x-3)=2x+4[/tex]

Answers

Answer:

No answer.  The question is not correct.  2x-6 cannot be equal to 2x+4

Step-by-step explanation:

2(x-3) = 2x+4

2x-6 = 2x+4

This can't be true.  2x-6 cannot be equal to 2x+4:

Subtract 2x from both sides and we are left with -6 = 4:  FALSE

Answer:

no solution

Step-by-step explanation:

Taking the LHS and distributing

2(x - 3)2(x) - 2(3)2x - 6

Equating to the RHS

2x - 6 = 2x + 4

On inputting any value for x, this equation will not be correct.

Hence, it has no solution.

What is the measure of ∠P ? 
with explanation pls​

Answers

Answer:

80°

Step-by-step explanation:

we know angle R and angle Q are equal cause of the dashes

so

2x+30=6x-10

and then solve

30=4x-10

40=4x

10°=x

since they're equal just plug in X for one

2(10)+30= angle r

50° = angle r

we have two 50° angles and we know every triangle is 180°

so create the formula

angle r + angle q + angle p =180°

fill it in

50° + 50° + p = 180°

so angle p= 80°

Which description compares the vertical asymptote(s) of Function A and Function B correctly?

Function A: f(x) = 1/x-1
Function B: (see photo)


A. Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at ​x = 0​.

B. Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x=−3.

C. Function A has a vertical asymptote at x=−1.
Function B has a vertical asymptote at x=−3.

D. Both functions have the same vertical asymptote.

Answers

Answer:

B. Function A has a vertical asymptote at x = 1.

Function B has a vertical asymptote at x=−3.

Step-by-step explanation:

You can see from the diagram that the asymptope is x = -3, but to find the asymtope for the function make denominator equal to 0 and solve because the denominator can never equal 0, (you divide a number by 0, which is mathematically impossible) therefore the function will never reach that line.

Other Questions
Food chains represent oversimplifications of producer-consumer relationships. indicate if the following statements about interactions among trophic levels are true or false in explaining the complexity of these interactions. help plsmake sure its correct Sara uses ribbon to make hair bows. The length of each ribbon Sara uses is represented by the line plot shown. What is the difference, in feet, between one of the pieces of ribbon that has the longest length and one of the pieces that has the shortest length? CAN SOMEONE PLS HELP ME PLSSS I HAVE TO GET IT DO BEFORE TONIGHT ( ill give a brainliest to fill the worksheet out plss) (no point stealing) ( 100 points) PLS HELP how many calories of energy are in 165 g of bananas if there ae 100 c in 110 bananas Which expressions are equivalent to5^25^8 Please help im timed what are the functions of a root? (select all that apply). they absorb water from the soil. they repair carbon dioxide for photosynthesis. they hold the plant in the ground. they take in nutrients from the soil. In a bag there are six red marbles, four blue marbles, and eigint green marbles. What is the probability that you will draw a green marble? 1. 1/3 2. 4/9 3. 1/18 4. 4/5 Social Security was established to provide workers with a minimum wage.True or False Create a dot plot to represent the data. what can you conclude about the dot plot of the data set? select the three best answers. the range of the number line should be 0 to 7 to represent the frequency. four families said they ate out twice the previous week. one family said they ate out 5 times the previous week. the data set is symmetrical. the median best represents the data set. PLEASE HELP FAST. What is the area of this right triangle? Answer ASAP and whoever answers correctly can have brainliest Answer answer answer Which piece of information should you include only when citing an online journal article?a.the publication dateb.the name of the authorc.the name of the articled.the date you accessed the article ARC forecasts the 21-county Atlanta region will potentially add 2.9 million people by 2050, bringing the regions total population to 8.6 million. To put that growth in perspective, it's as if all of metropolitan Denver will move to the Atlanta region over the next 30 years. With this growth, will come a need for jobs, housing and infrastructure updates. How do you recommend we ensure thoughtful growth that improves communities, prevents displacement, and provides opportunities for those who lived in these communities before the boom? Los jvenes de Honduras tienen intereses en comn con los jvenes de los Estados Unidos.TrueFalse Which equation is equivalent to n+4 = 11? Many asteroids are found between Mars and which other celestial body?Jupiterthe sunthe moonEarth Which argument is the best example of an ad hominem fallacy?A. Don't join the chess club; nobody around here joins that club.B. My brother is class president, so naturally I should be treasurer.C. Anyone who opposes my lunch plan is a traitor to our school.D. You must make dinner tonight because it's clear that you should. Subtract the matrices.What number fills in [?] ?B2 -9 8-5 3 24 2-11 4 -8-5 -3 77 -2 54 8 -4-35-2A-B =7 -12 63 [?] 7-12 -1 27 3-2