A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag? Explain your reasoning.

Answers

Answer 1

Given:

Total number of marbles in the bag = 150

There are 21 blue marbles for every 4 white marbles.

To find:

The number of blue marbles in the bag.

Solution:

Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.

Let the number of blue marbles be 21x and white marbles be 4x.

Total number of marbles in the bag = 150

[tex]21x+4x=150[/tex]

[tex]25x=150[/tex]

Divide both sides by 25.

[tex]x=\dfrac{150}{25}[/tex]

[tex]x=6[/tex]

Now,

[tex]\text{Blue marbles}=21x[/tex]

[tex]\text{Blue marbles}=21(6)[/tex]

[tex]\text{Blue marbles}=126[/tex]

Therefore, the number of blue marbles is 126.


Related Questions

If I’m tiling a floor of a 10’ x 10’ room and find that 100 tiles will be needed how many tiles will be needed to tile a floor of 20’ x 20’ room

Answers

Answer:

400 Tiles

Step-by-step explanation:

20 x 20 = 400

(Length x Width)

Answer:

400

Step-by-step explanation:

Enough that you will need a large piggy bank to take money out of.\

There are 4 squares of equal size that will fit the floor of a 20 by 20 foot room.

Therefore you will need 4 * 100 = 400 tiles.

You could do it by noting that the floor has 20 by 20 tiles which is 20^2 which is 400.

What is 10c+9-7c.....?

Answers

Answer:

17c + 9 = 10c + 9 - 7c

COMBINE LIKE TERMS

10c + 7c = 17c

9 IS NOT A LIKE TERM, SO WE LEAVE IT ALONE

please need help on this one​

Answers

Yes is the correct answer:)

The image is basically the question. I am in the middle of this test plz help!

Answers

The third one ——————

CHECK MY ANSWERS PLEASE!!


1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)

Answers

Answer:

1. A) OPS is congruent to RSU

2. C) RSP is congruent to TSU

Step-by-step explanation:

1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.

✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.

❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.

❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.

OPS and TSU are also not congruent.

2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:

C) RSP is congruent to TSU

What is the length of side a?

Line a to b is 5
line b to c is a

Answers

Answer: which side is a? I can’t answer the question without knowing the sides

Step-by-step explanation:

Which statement best explains whether the table represents a linear or nonlinear function?
Input (x) −2 −5 −8 −11
Output (y) 7 4 1 −2
A It is a linear function because there is a constant rate of change in both the input and output values.

B It is a nonlinear function because there is a constant rate of change in both the input and output values.

C It is a linear function because the input values are decreasing.

D It is a nonlinear function because the input values are increasing.

Answers

Answer:

It is a linear function because there is a constant rate of change in both the input and output values.

Step-by-step explanation: I took the test

The weight of a mandarin orange is about 6 ounces. A basket that weighs 4 ounces will hold m mandarin oranges, the total weight is 70 ounces. Which equation represents the basket of oranges?

Answers

4 + 6m = 70 2. 6 + 4m = 70 3. 70 + 4m = 6 4.70 + 6m = 4

Answer:

4 + 6m = 70

the first one

Step-by-step explanation:

Find the value of X. Geometry!!!

Answers

Answer:

D. 19

Step-by-step explanation:

x+5 has to equal half of the base(3x-9)

I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24

48/2=24 Therefore, the answer is D, 19

It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trp 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes? (1 point) 1. 64 miles per hour 2.50 miles per hour 3. 30 miles per hour 4. 56 miles per hour​

Answers

Answer:

30 miles per hour

Step-by-step explanation:

i took the test

Answer:

50 miles per hour

Step-by-step explanation:

I actually took the quick check

calculate the mean of the following. 3,5,6,4,7,3,9,8​

Answers

Step-by-step explanation:

mean = sum of observation/ no. of observation

mean = 3+5+6+4+7+3+9+8/ 8

mean = 45/8 = 5.6

Answer:

3+5+6+4+7+3+9+8/8

45/8

5.625

help, please. brainliest.

Answers

Answer:

55=1.5i+2.5t

Step-by-step explanation:

Tom is going to build a fence around his garden which is a rectangle measuring by He will first put in posts which will be 4 m apart. If the posts cost $3.40 each, what will be the total cost for all the posts?

Answers

Answer:

13.6

Step-by-step explanation:

4 × 3.40 = 13.6

I hope I have helped

How many roots do the functions have in common?

f(x)=2x^2-4x-16

Please Help??

Answers

Answer:

Step-by-step explanation:

Given the function f(x)=2x^2-4x-16

To know the amount of roots that the function have in common, we need to first factorize the expression as shown;

f(x)=2x^2-4x-16

f(x)=2x^2-8x-16

Let f(x) = 0

0 =2x^2-4x-16

2x^2-4x-16 = 0

Divide through by 2;

x^2-2x-8 = 0

x^2 - 4x + 2x - 8 = 0

x(x-4)+2(x-4) = 0

(x+2)(x-4) = 0

x = -2 and 4

Hence the roots of the function are -2 and 4. They did not have any common roots

Answer:

f and g share the same root(s).

Step-by-step explanation:

Choose the incorrect statement
The polarity or poles in Earth's magnetic
field actually switch and is recorded in the sea
floor.
The youngest rock is actually at the center
of the ocean and older the farther apart that
we become.
The polarity or poles in Earth's magnetic
field actually switch and is recorded in the
atmophere.
Hi

Answers

Answer:

btw i am pretty sure thats physics

The sum of a number and twice another number is 17. The sum of twice the first number and the second number is 4. What are the two numbers?
a) define the variables

b) write a system of equations

c) solve by elimination

Answers

Step-by-step explanation:

Given that,

a + 2b = 17

Also,

2a + b = 4

By adding the above expressions we get,

a + 2b + 2a + b = 17 + 4

3a + 3b = 21.

3 (a + b) = 21

a + b = 21/3

a + b = 7 Let us take 'b' = 10

a + 10 = 7

a = 7 - 10

a = -3

Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions

a + 2b = 17

-3 + (2 × 10) = 17

-3 + 20 = 17

17 = 17

2a + b = 4

(2 × -3) + 10 = 4

-6 + 10 = 4

4 = 4

Therefore, a = -3 and b = 10 [(-3,10)] is the solution.

Mr. Brown plowed 6 acres in 1 hour. At this rate, how long will it take him

to plow 21 acres?

Answers

Answer:

3 and a half hours

Answer:3.5 hours

Step-by-step explanation:

6 acre= 1 hour

60 min ÷6= 10 min for 1 acre

10 ×21= 210

210÷60=3.5 hours

How many times will 5 go into 6?​

Answers

Answer:

One time

Step-by-step explanation:

(5x2=10) so 5x1=6

An object with initial temperature 120° F is submerged in large tank of water whose temperature is

70°F. Find a formula for F(t), the temperature of the object after t minutes, if the cooling constant is

k= 0.2

F(t)=

Answers

Answer:

[tex]F(t)=Ts+(T0-Ts)^{e-0.2t[/tex]

Step-by-step explanation:

Newton's law of cooling states

"that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"

Newton's Law of Cooling is given by the formula

[tex]F(t)=Ts+(T0-Ts)^{e-kt[/tex]

Where

F( t )  is the temperature of the object at a given time  t

T s is the surrounding temperature

T 0  is the initial temperature of the object

k is the constant

Given k=0.2

Hence the expression is

[tex]F(t)=Ts+(T0-Ts)^{e-0.2t[/tex]


Find the unknown side of the triangle. Urgent

Answers

Answer:

13 in

Step-by-step explanation:

It’s a right triangle, so use the Pythagorean Theorem.

12²+5²=c²

144+25=c²

169=c²

√169=c

13=c

helppppp please will give brainliest​

Answers

Answer:

the value of y is 3 more than twice x

Step-by-step explanation:

we find the slope is 2 because 4/2=2

y=2x+b

we put in the first point (1,5)

5=2+b

b=3

y=2x+3

Answer:

i think its c

Step-by-step explanation:

because 4 times 1 is 4 and if u add 1 than u get 5 which is y

im not sure if this is right lmk

how to solve the equation 8b - 12 = 5b

Answers

Answer:

b = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define equation

8b - 12 = 5b

Step 2: Solve for b

Subtract 5b on both sides:                    3b - 12 = 0Add 12 on both sides:                            3b = 12Divide 3 on both sides:                          b = 4

Step 3: Check

Plug in b to verify it's a solution.

Substitute:                  8(4) - 12 = 5(4)Multiply:                      32 - 12 = 20Subtract:                     20 = 20

And we have our final answer!

Plz help me ASAP! Below is the question.

Answers

Answer:

you are rigjt

Step-by-step explanation:

im a g yeeeeeeee

Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70° E A Your answer​

Answers

Answer:

<FEA is 70 degrees. It is already given.

For her phone service, Kaitlin pays a monthly fee of $10, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $105.27. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m.

Answers

The equation of this problem is:

0.07m + 10 ≥ 105.27

Subtract 10 from both sides:

0.07m ≥ 95.27

Divide 0.07 on both sides:

m ≥ 1,361

Therefore, the number of minutes that Kaitlyn acquires each month is greater than or equal to 1,361 minutes.

Hope this helps!!

Kay

The possible number of minutes Kaitlin has used her phone in a month is 1361 minutes or more.

Let's set up an inequality to represent Kaitlin's monthly charges. We know that the total cost, C, for the month is the sum of the monthly fee ($10) and the additional charge based on the number of minutes used ($0.07 per minute, which can be written as 0.07m, where m represents the number of minutes used).

So, the inequality can be written as: C = 10 + 0.07m

Now, we are given that the least amount she has been charged in a month is $105.27. Therefore, we can write the inequality:

C ≥ 105.27

Substitute the expression for C from the first inequality: 10 + 0.07m ≥ 105.27

Now, solve for m:

Subtract 10 from both sides of the inequality:

0.07m ≥ 105.27 - 10

0.07m ≥ 95.27

Finally, divide both sides of the inequality by 0.07:

m ≥ 95.27 / 0.07

m ≥ 1361

To know more about possible number ;

https://brainly.com/question/29765042

#SPJ2

A square and a rectangle have the same perimeter. The length of the rectangle is
4 in. less than twice the side of the square, and the width of the rectangle is 6 in.
less than the side of the square.
Find the perimeter of the square.

Answers

Rectangle:

l = 4 inch

b = 6 inch

Perimeter = 2(l + b)

= 2(4 + 6)

= 2(10)

= 20 inch.

Given that,

The perimeter of the rectangle = The perimeter of the square

20 inch = The perimeter of the square

How do you find p(a and b) ?

Answers

Answer:

Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn't affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.

Step-by-step explanation:

Is 5 a irrational number

Answers

Answer:

no.

Step-by-step explanation:

Answer:

No. Because, 5 is an integer, that's why it's not irrational.

The price of a new car was $12 500 It is reduced to £11 625 Work out the percentage reduction

Answers

Answer:

12,500-11,625=875

875/12,500=7/100

7/100*100=7

The percentage reduction is 7%

P.S * represents multiplication

What's the diameter of 76cm circle circumference

Answers

Answer:

The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.

For example):

Finding diameter - 76/3.14 = 24.19 (d)

Finding radius - 24.19/2 = 12.095 (r)

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