A paint that contains 26 % green dye is mixed with a paint that contains 14 % green dye. How many gallons of each must be used to make 100 gal of paint that is 22 % green dye?

Answers

Answer 1

Answer:

66and2/3 gallons of 26% and 33and1/3 of 14%

Step-by-step explanation:

x is the gallons of 26% green dye and y is the gallons of tve 14% one. we know that the totall gallons of dye in the ens are 100=>x+y=100=>x=100-y. 26%*x+14%*y=22%*100

13/50*x+7/50*(100-x)=22 6/50x+14=22 6×=400 x=200/3=66and2/3 =>y=100-200/3=100/3=33and1/3


Related Questions

A spinner with the numbers 1 through 8 is spun 25 times. What is the experimental probability of the spinner stopping on the number 4?

Answers

Answer: Because if you think about it it would be 4 because of the fact that it is in the middle of 1-8. So there is a higher chance to land on 4 than any other number.

Step-by-step explanation:

The experimental probability of the spinner stopping on the number 4 is 1/25.

What is experimental probability?

Experimental probability is a probability that is determined on the basis of a series of experiments.

A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial.

Given that, a spinner with the numbers 1 through 8 is spun 25 times.

we need to find the experimental probability of the spinner stopping on the number 4

So,

Experimental Probability =

P(E) = Number of times an event occurs / Total number of trials.

Number of times an event occurs = 1

Total number of trials = 25

Therefore,

P(E) = 1/25

Hence, the  experimental probability of the spinner stopping on the number 4 is 1/25.

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there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus

Answers

Answer:

40

Step-by-step explanation:

3 x 8 = 24

5 x 8 = 40

24/3 = 8

5 x 8 = 40

There are 40 girls

please give explanation cuz i dont know how to do this

Answers

Answer:

Step-by-step explanation:

y=a*b^x

a=$2,000

This is the amount that the homeowner borrowed from the lender

b=This would be represented as 1.04 in decimal form

The reason why it is 1.04 is that the 1 aka 100% counts as 2,000 which is the whole thing as well as 0.04 or 4% percent of the total amount($2000)

x= You would leave this as x because they did not give a value and the equation is written so that it could be used to solve the amount of money owed after 'x' years or a certain number of years

Therefore the equation would be y=2000*(1.04)^x

simplify 0.2×0.03055​

Answers

Answer:

[tex]0.2 = \frac{2}{10} = \frac{2}{10 ^{1} } = 2 \times {10}^{ - 1} \\ 0.03055 = \frac{3055}{100000} = \frac{3055}{ {10}^{5} } = 3055 \times {10}^{ - 5} \\ 0.2 \times 0.03055 = 2 \times {10}^{ - 1} \times 3055 \times {10}^{ - 5} \\ = 2 \times 3055 \times {10}^{ - 1 + ( - 5)} \\ = 2 \times 3055 \times 10^{ - 1 - 5} \\ = 2 \times 3055 \times {10}^{ - 6} \\ = 6110 \times {10}^{ - 6} \\ = \frac{6110}{ {10}^{6} } \\ = \frac{6110}{1000000} \\ = 0.006110[/tex]

Do this for a lot of points and brainly!!! Asap

Answers

Answer:

(-4,1)

Step-by-step explanation:

you can choose any point on the line

simplify sqrt n/18 !!!

Answers

Answer:

are u really done this one or not I help U okay salamat

pls help :( :) i’m a little lost

Answers

Answer:

B

Step-by-step explanation:

On a graph you go rise over run (or Y divided by X) which in this equation is 1 divided by 2 which equals 1/2. You also need to look at what number is being crossed on the y axis, which in this case is 1. Slope intercept form is y=mx+b with m being the slope (1/2) and b being the y intercept (1)

Answer:

B. y = 1/2x + 1

Step-by-step explanation:

I went ahead and graphed each of the answer options for you and when I graphed for B it gave me:

Divide. Write your answer as a fraction in simplest form. −7/2÷7/5=

Answers

The answer i got for this question in simplest form as a fraction is - 5/2

PLEASE HELP ASAP i am willing 30 points


You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for FEDERAL INCOME TAX for this pay period was $

Answers

567

becoz it's merits in increment

Abey and Anoki are eating chocolate bars. The bars are the same size. Abey has ! 3 4 ! Left. Anoki has ! 7 8 ! Left. How much chocolate is left altogether?

Answers

Answer:

13/8 of the chocolate will be left altogether.

Step-by-step explanation:

Given that,

Abey and Anoki are eating chocolate bars. The bars are the same size.

Abey left 3/4 of chocolate and Anoki left 7/8 of chocolate.

Left amount = Abey left amount + Anoki left amount

[tex]=\dfrac{3}{4}+\dfrac{7}{8}\\\\=\dfrac{3(2)+7(1)}{8}\\\\=\dfrac{6+7}{8}\\\\=\dfrac{13}{8}[/tex]

Hence, 13/8 of the chocolate will be left altogether.

Find the value of x. Round your answer to
the nearest tenth. Please help

Answers

Answer:

x=50.7°

Step-by-step explanation:

Use the given angle of x° to find which trigonometry ratio to use. We are given the side adjacent to the angle and the hypotenuse. Therefore, we use the cosine ratio:

[tex]cosineX=\frac{adjacent}{hypotenuse}[/tex]

Insert the given values:

[tex]cos.x=\frac{19}{30}[/tex]

In order to fin the angle, use the inverse:

[tex]x=cos^{-1}(\frac{19}{30} )[/tex]

Insert the equation into a calculator:

[tex]x=50.70351976[/tex]

Round to the nearest tenth:

[tex]x=50.7[/tex]

:Done

Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST

Answers

1)
8y=144
Y=18

2)
15 y
— = —
20. 24

Y=12

Given:
RS ⊥ ST
RS ⊥ SQ
∠STR = ∠SQR

Prove:
△RST ≅ △RSQ

Answers

Answer:

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

Step-by-step explanation:

The required fill-in-the-blank below as:

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given in question as:

RS ⊥ ST

RS ⊥ SQ

∠STR = ∠SQR

To prove:

△RST ≅ △RSQ

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

According to AAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

Hence, △RST ≅ △RSQ

Thus, the required fill-in-the-blank above is in the solution.

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Find the zeros of the function.
Enter the solutions from least to greatest.
g (x)=(-5x -1)(2x +8)
lesser x =
greater x =

Answers

Answer:

[tex]x=-4,\:x=-\frac{1}{5}[/tex]

Step-by-step explanation:

The zeroes of the function [tex]g(x)=(-5x-1)(2x+8)[/tex] can be found by setting [tex]g(x)[/tex] to [tex]0[/tex], then solving for [tex]x[/tex]:

[tex](-5x-1)(2x+8)=0[/tex]

When either term is [tex]0[/tex], the equation is true. Therefore we have two cases:

[tex]\begin{cases}-5x-1=0,\: -5x=1, \:\fbox{$x=-\frac{1}{5}$}\\2x+8=0,\:2x=-8,\:\fbox{$x=-4$}\\\end{cases}[/tex]

Form the given function lesser x value is -4 and the greater x value is -1/5.

What are the zeros of a function?

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

The given function is g(x)=(-5x -1)(2x +8)

Now, (-5x -1)(2x +8)=0

(-5x -1)=0 and (2x +8)=0

-5x=1 and 2x=-8

x=-1/5 and x=-4

Therefore, form the given function lesser x value is -4 and the greater x value is -1/5.

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How do you find the horizontal asymptote of a rational function?"
A. Set the denominator equal to zero
B. Set the numerator equal to zero
C.plug in zero for x
D. Use one of the 3 rules

Answers

Answer:

c

Step-by-step explanation:

I think is C sorry if I get it wrong

HELP PLZZZ WILL GIVE BRAINLEAST

Answers

Answer:

b,c,d,f

Step-by-step explanation:

[tex]perimeter=2(3\sqrt{8} +4\sqrt{20} +2\sqrt{24} ) \\=2(3\sqrt{8} )+2(4\sqrt{20} +2\sqrt{24} ) \\=6\sqrt{8} +8\sqrt{20} +4\sqrt{24} \\=6.8^{\frac{1}{2} } +8.20^{\frac{1}{2} } +4.24^{\frac{1}{2} } \\or~ =12\sqrt{2} +16\sqrt{5} +8\sqrt{6} \\[/tex]

Becca had of a yard of ribbon to use for her crafts projects. She used of a yard to make a bow. How much ribbon, r, does Becca have left?

Set up an equation and solve.

answers:46/105, 91/45, 3r/7, 3/7 - r , 136/105

only two space for two answers

Answers

Answer:

a y a r d = a 2 y r d a y a r d = a 2 y r d

Step-by-step explanation:

Can I get some help here?

Answers

Answer:

AB, CB, AC

Step-by-step explanation:

All the angles in a triangle added up equal 180 degrees

Start by finding the measure of angle A

A + 86 + 27 = 180

A + 113= 180

A = 67 degrees

Now order them

86 is greater than 67 and 27 so B is the greatest

27 is less than 86 and 67 so C is the smallest

67 is less than 86 but greater than 27 so A is in the middle

Now for the sides..

AB is opposite angle C so it's the shortest

CB is opposite angle A so it's in the middle

AC is opposite angle B so it's the longest

I hope this helps!!!

A repairman charges an inspection fee plus $22 per hour. A customer with a coupon for 40% off the inspection fee pays $118 for a 4-hour repair. How many hours are worked when a customer pays $94 without a coupon?

Answers

Answer:

Inspection fee = $50

h = 2 hours

Step-by-step explanation:

Let

x = the inspection fee

Charge per hour = $22

Number of hours = 4

A customer with a coupon for 40% off the inspection fee

This means the customer paid 60% of the inspection fee

118 = 60% of x + 22(4)

118 = 0.6x + 88

118 - 88 = .6x

30 = .6x

x = 30/0.6

x = $50

Inspection fee = x = $50

How many hours are worked when a customer pays $94 without a coupon?

94 = 50 + 22h

94 - 50 = 22h

44 = 22h

h = 44/22

h = 2 hours

there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9 the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. a counter is taken from the bag. the probability that the counter is green is 10/23 find the number of red counters and the number of green counters that were in the bag originally. your final line must say, ... red and ... green counters.

Answers

The number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, let we had:

R numbers of red counters, and G number of green counters originally.

Then, total counters in the bag originally = R +G

One counter out of R+G counters can be chosen in R+G ways. But one green counter out of R+G counters can be chosen in G ways.

Thus, probability of taking green counter out in one random picking is:

[tex]\dfrac{G}{R + G}[/tex]

It is given that this probability is 4/9. Therefore, we get:

[tex]\dfrac{G}{R+G} = \dfrac{4}{9}\\\\\\9G = 4R + 4G\\\\5G = 4R[/tex](first equation)


When 4 more red counters and 2 more green counters were added, then:

Number of red counters in modified bag = R + 4Number of green counters in modified bag = G + 2Number of total counters in modified bag = R + 4 + G+ 2 = R + G + 6

One counter out of R+G+6 counters can be chosen in R+G+6 ways. But one green counter out of R+G+6 counters can be chosen in G+2 ways (since there are G+2 green counters in the considered bag) ways.

Thus, probability of taking green counter out in one random picking is:

[tex]\dfrac{G+2}{R + G+6}[/tex]

It is given that this probability is 10/23. Therefore, we get:

[tex]\dfrac{G+2}{R+G+6} = \dfrac{10}{23}\\\\\\23G + 46 = 10R + 10G + 60\\\\13G = 10R + 14[/tex](second equation)

Thus, we got a system of two linear equations as:

[tex]5G = 4R\\13G = 10R + 14[/tex]

From first equation, getting the value of G in terms of R,

[tex]G = \dfrac{4R}{5}\\[/tex]

Now, substituting this with G in the second equation, we get:

[tex]\\13\left(\dfrac{4R}{5} \right) =10R + 20\\\\52R = 50R + 20\\2R = 20\\R = 10[/tex]

From this value of R, and the value of G in terms of R, we get:

[tex]G = \dfrac{4R}{5}\\\\ = \dfrac{4 \times 10}{5} = 8[/tex]

Thus, R = 10 and G = 8.

Thus, the number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.

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the table shows the relationship between the number of CDs and their cost at the flea market. Which equation shows the same relationship?

Answers

Answer:

probably 2.5/d

Step-by-step explanation:

my mathematical teacher

La Vasha noticed that she caught six pigeons for every turtle when she played Pocket Monster
Walk. If LaVasha caught 102 pigeons, how many turtles did she catch?

Answers

Answer:

She has 17 turtles

Step-by-step explanation:

You have to divide 102 by 6 which equals 17.

please help the game hates me

Answers

Answer:

negative

Step-by-step explanation:

a positive divided by a negative is a negative

Can someone explain how I should solve this?

Answers

Bag B it has more blue marbles

PLEASE HELP ME WITH THIS PROBLEM!!!!

Answers

Answer:

It is positive 3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Any numbers inside the absolute value are always positive, so in this case, 12 is 12, and -15 is 15.  Add these numbers to get 27 as your answer.

IF ANY OF YOU SOLVE I WILL GIVE BRAINLIEST AND EVERYTHING ELSEEEE PLS HELP
4x - 4; x=7

6 - x + y; x=5, y=3

Answers

Answer:

1. 4x-4=24

2. 6-x+y=4

Step-by-step explanation:

Answer:

4x(7) - 4= 24

6 - 5 + 3 = 4

Step-by-step explanation:

Jared painted a mug 3 16 red and 5 16 blue. What part of the mug is not red or blue? of the mug is not red or blue.Jared painted a mug 3 16 red and 5 16 blue. What part of the mug is not red or blue? of the mug is not red or blue.

Answers

Answer:

8 16

Step-by-step explanation:

3/16+5+16=8/16

16/16(the whole mug)-8/16=8/16

Answer:

8 16

Step-by-step explvanation:

-7 x - 2y = -13
x - 2y = 11

Answers

Well the first one would convert to
-2y= 7x-13 and the second one would be -2y=-x+11 and you solve from there (lmk if you need the steps) but your final answer would be. Y= -7/2x+ 13/2 and y=1/2x - 11/2

Evaluate Expressions
Jan 15, 12:46:39 PM
What is the value of the expression below when x = 7?
5x - 7

Answers

5(7)-7
35-7
28
The answer is: 28

please solve.
-7 = z over 2 + 1

Answers

-7=z/2+1

What you first need to do is to multiply both sides of the equation by 2

-14=z+2

Now you move the variable to the left side and change within it’s own sign

-z-14=2

Into

-z=2+14

Now you then add the numbers

-z=16

The last part you do is change the sign on both sides in this equation

z=-16

Therefore, z=-16 is your answer in number 16.
Z=-16 hopes this helps
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