A bag contains 3 blue, 4 red and 3 yellow marbles. How many blue marbles must be added to the bag for it to contain 75% blue marbles?

Answers

Answer 1

Answer:

18

Step-by-step explanation:

Note that 75% = 75/100 = 3/4, so 3/4 of the marbles must be blue. Let x be amount of blue marbles added. We can write an equation using this.

75% = 3/4 = (3 + x blue marbles)/(3 + 4 + 3 + x total marbles) = (3+x)/(10+x)

Multiplying by 4(10 + x) on both sides:

3(10 + x) = 4(3+x)

30 + 3x = 12 + 4x

18 = x

Therefore, we must add 18 blue marbles for 75% of the marbles to be blue.

I hope this helps! :)


Related Questions

answer to be marked as brainlist

Answers

Answer:

The SF is 3

Step-by-step explanation:

The sides are 3x the length of the sides of ∆ABC

please help me on this , tyyy :]

Answers

9514 1404 393

Answer:

  (a)  1, 2

  (b)  4

Step-by-step explanation:

(a)  9x +81 = 9·x +9·9 = 9(x +9) . . . . . . matches first and second choices

__

(b)  10 +14y -5 -y = (14y -y) +(10 -5) = 13y +5 . . . . . . matches fourth choice only

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 3 and AC = 9, what is the length of AD? (Note: the figure is not drawn to scale.)

Answers

Answer:

The length of AD is 1 unit

Step-by-step explanation:

Let us solve the question

In Δ ABC

∠B is a right angle

BD is perpendicular to the hypotenuse AC

(AB)² = AD × AC ⇒ rule

∵ AB = 3 units

∵ AC = 9 units

∵ AD = x

→ Substitute them in the rule above

(3)² = x × 9

∴ 9 = 9x

→ Divide both sides by 9

∵ [tex]\frac{9}{9}[/tex] = [tex]\frac{9x}{9}[/tex]

1 = x

The length of AD is 1 unit

There were 40 swimmers on the team last year. This year, there are 20 swimmers. What is the percent decrease?

Answers

i agree it should be 50%

Step-by-step explanation:

half of 40 is 20

you have $56 to spend on your family dinner each entree cost $8 and each cost $4

Answers

Answer:

ok I don't understand the problem.?

Step-by-step ex

There is no information here.

There isn't even a question. lol

Solve for z: 5(2z-7) = -2z + 7

A. z = 7/2
B. z= 21/4
C. z= -7/2
D. z= - 7/3​

Answers

Answer:

A. z = 7/2

Step-by-step explanation:

First, distribute the 5 into 2z and 7 to get 10z - 35 for the left side and the right side should be the same.  Add 2z on both sides to get to this equation 12z - 35 = 7.  Add 35 on both sides to get 12z = 42.  Divide 12 on both sides, since it is an improper whole number, the fraction would be left as 42/12.  However, both numbers can be divisible by 6 leaving your z value as 7/2.

Answer:

The answer is

[tex] \frac{7}{2} [/tex]

Step-by-step explanation:

1. Distribute

[tex]5(2z - 7) = - 2z + 7 \\ 10z - 35 = - 2z + 7[/tex]

2. Solve

[tex]10z - 35 = - 2z + 7 \\ \frac{+ 2z \: \: \: \: \: \: \: \: \: \: \: \: \: \: = + 2z \: \: \: \: \: \: \: }{12z - 35 = 7} \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: + 35 = + 35}{12z = 42 } \\ \\ \frac{12z}{12} = \frac{42}{12} \\ \\ z = 3.5 \: or \: \frac{7}{2} [/tex]

help out due this week

Answers

Answer:

i dont even know what congruent means

Step-by-step explanation:

step 1 throw your hands up then point them to the floor!

step 2 here is what to do now get down on all fours!

step 3 now bounce around its easy follow me!

step 4 go crazy now and beep beep like a sheep

You deposit $2000 in an account that earns 5% annual interest compounded quarterly. Find the account balance after 10 years

Answers

Answer:

You deposit $2000 in an account that earns 5% annual interest compounded quarterly. Find the account balance after 10 years

The graph of the equation x – 2y = 5 has an x-intercept of 5 and a slope of StartFraction one-half EndFraction. Which shows the graph of this equation?

A coordinate plane with a line passing through (0, negative 2) and (4, 0).

A coordinate plane with a line passing through (0, 0.5) and (1, negative 1.5).

A coordinate plane with a line passing through (negative 2, 0) and (0, negative 1).

A coordinate plane with a line passing through (negative 3, negative 4) and (5, 0).

Answers

Answer:

Graph D

Step-by-step explanation:

Look, I'm trying here, I tried the graphing calculator and it appeared as Graph D

The graph of the equation is a coordinate plane with a line passing through (-3, -4) and (5, 0). Option D is correct

Equation of a line

A line is the shortest distance between two points. The equation of a line in slope intercept form is expressed as y = mx + b

where:

m is the slopeb is the y-intercept

Given the equation x - 2y = 5

Write in slope-intercept form;

-2y = -x + 5

y = 1/2 x - 5/2

We need two points passing through the line, we will find the x and y-intercept

If x = -3

y = 1/2(-3) - 5/2

y = -3/2 - 5/2
y = -4

Hence one of the coordinate point is (-3, -4)

If x = 5

y = 1/2(5) - 5/2

y = 5/2 -5/2

y = 0

Hence one of the coordinate point is (5, 0)

Hence the graph of the equation is a coordinate plane with a line passing through (-3, -4) and (5, 0).

Learn more on equation of a line here: https://brainly.com/question/18831322

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Please help me please

Answers

substitute the values given to you into the equation:
x-(y+z)
x=9
y=3
z=2
9-(3+2)
the answer is A.
your answer would be A!

How could the numbers 2, 3, 4, and 5 be used to get 10?
es
1)
A
2(4) - 3 + 5
2 +3-4 + 5
5-2-3+ 4
B)
D)
5(3)- 2(4)

Answers

Answer:

2(4)-3+5

Step-by-step explanation:

8-3+5

13-3

10

Answer:

i would say a

Step-by-step explanation:

Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
8 cm
8 cm

Answers

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

thank you

Answer:

Its ASA

Step-by-step explanation:

The share one side and two angles

Linear Function #3!!!

Answers

Answer:

The bottom left table

Step-by-step explanation:

The only table that is a line is the bottom left

Simplify first, then evaluate your answer.
1)-3(2x - 2y) - 2(4x - y) x = 3, y = -2

Answers

Simplified first:

-14x +8y

With the variables plugged in the final answer is:

-14(3) + 8(-2) WHICH IS -58

Answer:

-50

Step-by-step explanation:

-3(2 x 3 - 2 x - 2) - 2(4 x 3 - 2)

-3 x 10 - 2(4 x 3 - 2)

-3 x 10 - 2 x 10

-30 - 2 x 10

-30 -20

= -50

I used PEMDAS. I hope this is good. Let me know if it's wrong.

Using the order of operations, what should be done first to evaluate 12+(-6)(3)+(-2)?
Vx
O Divide 12 by 5.
O Multiply -6 and 3.
O Divide 12 by -6.
O Add 3 and -2.
Hurry pls

Answers

You need to multiply -6 and 3

Graph a line that has a slope of -3 and contains the point (4,-2)

Answers

Answer:

The equation of the line is:

[tex]y = -3x+10[/tex]

The graph is attached below.

Step-by-step explanation:

Given that the line has a slope of -3, so

m = -3

As the point contains the point (4, -2), so we can use the point-slope form of the line equation to determine the line.

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

so substituting the values m = -3 and the point (4, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-2) = -3(x-4)[/tex]

[tex]y+2 = -3x+12[/tex]

[tex]y = -3x+12-2[/tex]

[tex]y = -3x+10[/tex]

Therefore, the equation of the line is:

[tex]y = -3x+10[/tex]

The graph is attached below.

Help pls !!!!!!!!!!!!!

Answers

Answer:

WOAH hold up i may be able to help you

Step-by-step explanation:

SAS- side-angle-side

a train covers 165km in 1.5 hours find the constant variation

Answers

Answer:

110 km/hour

Step-by-step explanation:

distance = 165 km

time = 1.5 hours

constant of variation = distance/time

constant of variation = 165 km / 1.5 hours = 110 km/hour

a hiker walks at a speed of 3 2/5 km per hour. how many km will he walk in 3/4 of an hour

Answers

Answer:

2.55

Step-by-step explanation:

20 pts
The graph below shows the numbers of cups of mango juice that are mixed with different numbers of cups of lemon-lime soda to make servings of mango soda:

What is the ratio of the number of cups of mango juice to the number of cups of lemon-lime soda?

1:40
10:1
40:1
1:10

Answers

Answer:

It'a B. 10:1

Step-by-step explanation:

pleaseeee helppppp correctly !!!!!!!!!!!!!! will mark Brianliesttttt !!!!!!!!!!!!!!

Answers

Answer:

probably 25

Step-by-step explanation:

in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the voters would vote the same way again

Answers

Answer:

86%

Step-by-step explanation:

430 × 100 = 430 = 86%

500 1 5

you are going to cancel. 100 divided by 100 leaves 1. 500 divided by 100 is 5.

430×1= 430. 5×1=5. divide 430 by 5 and you"ll get 86.

When you mix two colors of paint in equivalent ratios, the resulting color is always the same. How many cups of yellow paint should you mix with 3 cups of blue paint to make the same shade green? Explain.

Answers

Answer:

You should mix 15 cups of yellow paint, because it takes 5 cups of yellow paint + one cup of blue paint to make the same green. Since there's 3 cups of blue paint, multiply that by 5, and you get 15.

Karl needs to build a stage that has an area of 84 square feet. The length of the stage should be longer than the width. What are the possible whole number measurements for the length and width of the stage? Complete the table with possible measurements of the stage. Length Width 1 2 3 4 6 7

Answers

Answer/Step-by-step explanation:

84 = L x w

84 = 84 x 1

84 = 42 x 2

84 = 28 x 3

84 = 21 x 4

84 = 14 x 6

84 = 12 x 7

Answer:

below is the answer

Step-by-step explanation:

84 = L x w

84 = 84 x 1

84 = 42 x 2

84 = 28 x 3

84 = 21 x 4

84 = 14 x 6

84 = 12 x 7

The perimeter of a rectangle is 70 inches. If its length is four times its width, find the dimensions. Write an equation and solve.

Answers

Answer: Length = 28cm

Width = 7cm

Step-by-step explanation:

Let the width be represented by x.

Since the length is four times its width. Therefore, the length would be:

= 4 × x = 4x

The perimeter of a rectangle is calculated as:

= 2(length + breadth)

Therefore, 2(4x + x) = 70

2(5x) = 70

10x = 70

x = 70/10

x = 7

Therefore, width = 7cm

Length = 4x = 4 × 7 = 28cm

Work out the mean for the data set below: 5, 4, 6, 6, 5, 5, 4, 3 Give your answer as a fraction. (Mean)

Answers

The mean is 4.75. This is because the mean is the range among all the numbers.
Mean is 38/8

I hope it helps ❤❤

1. Sharon used 3 cups of water with
every 2 cups of lemon juice to make
lemonade. Find the ratio of the amount
of lemon juice used to the amount
of water used

Answers

Answer:3:2 is the answer i am very sure

Step-by-step explanation:

Create a binomial probability experiment with the data from the public opinion poll experiment. Use the probability of success and failure from the experiment. Calculate the probability of the number of successes in 100 random tests. For example, if the probability of success is 0.20 and the number of trials is 100, then the number of successes is 20.

give a real answer please this is important for my grade

Answers

Step-by-step explanation:

How do you calculate number of successes?

Example:

Define Success first. Success must be for a single trial. Success = "Rolling a 6 on a single die"

Define the probability of success (p): p = 1/6.

Find the probability of failure: q = 5/6.

Define the number of trials: n = 6.

Define the number of successes out of those trials: x = 2.

Binomial probability distribution for the given set of data is

[tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex].

What is binomial probability distribution?

"Binomial probability distribution is the representation of  a probability with only two outcomes success and failure under given number of trials."

Formula used

Binomial probability distribution is given by

[tex]\\n{C}_{x}p^{x}q^{n-x}[/tex]

n= number of experiments

x = 0, 1, 2, 3,.......

p = probability of success

q = probability of failure

According to the question,

Number of trials  'n' = 100

Probability of success 'p' = (20 / 100)

                                          = 0.20

Probability of failure 'q' = 1 - p

                                      = 1 - (20/100)

                                      =  (80 / 100)

Substitute the value in the formula we get

Required probability =  [tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex]

Example:

Tossing a coin 6 times getting exactly two heads.

Number of trials 'n' = 6

Number of heads 'x' =2

Only two possible outcomes head or tail

Probability of getting head 'p' = 1 / 2

Probability of not getting head 'q' = 1 /2

Required probability = [tex]\ 6C_{2[/tex] (1/2)²(1/2) ⁶⁻²

                                  =[tex]\ 6C_{2[/tex] (1/2)⁶

Hence, binomial probability distribution for the given set of data is

[tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex]

Learn more about binomial probability distribution here

https://brainly.com/question/14210034

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6. Given the function f(x) = 7x determine the equation of a new function, g(x), that is reflected over
the x-axis and then shifted 4 units down.
a. g(x) = 7x + 4
b. g(x) = -7x + 4
c. g(x) = 7x - 4
d. g(x) = -7x - 4

Answers

Answer:

d. g(x) = -7x - 4

Step-by-step explanation:

If it is reflected over the x-axis, there is a negative sign to the x term.

There is a shift of 4 units, so it is -4.

pls help in a rushhh will give points

Answers

Answer:

The answer is 120

Step-by-step explanation:

A triangle has 180 degrees in it total.

So all you have to do is 180 - 35 -25, and get your answer.

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