a
Blue and green dye are mixed in a 7:4 ratio to make 44 litres
of a teal-coloured dye. A further 8 litres of green dye are added
to the mixture. What is the new ratio of blue to green dye in its
simplest form?

Answers

Answer 1

Answer:

7:4 is the new ratio.

Step-by-step explanation:

set a proportion; (8+4 = 12)

7 x

-- = --

4 12

12/4 = 3

3 x 7 = 21

x = 21

new ratio: 21:12

simplifies: 7:4 (division of 3)

Answer 2

The new ratio of blue to green dye in its simplest form is 7/6.

Blue and green dye are mixed in a 7:4 ratio to make 44 litres of a teal-coloured dye. A further 8 litres of green dye are added to the mixture. What is the new ratio of blue to green dye in its simplest form to be determined.


What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Calculating the fraction of blue and green in the teal dye,
Blue dye = 7/(4+7) * 44
Blue dye = 7/11 * 44
Blue dye = 28 liters
Similarly,
Green dye = 7/12*44
Green dye = 16
Now
Blue dye = green dye = 28+16 = 44
Now gree dye is increase by 8 liters
new volume fraction of green dye = 16+8
                                                  = 24
a fraction of blue dye remains the same,
the ratio of blue dye to new green dye in teal colored.
= 28/24
=7/6

Thus, the new ratio of blue to green dye in its simplest form is 7/6.

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Related Questions

Find the common difference of the arithmetic sequence 13, 21, 29, .

Answers

Answer: 8

Step-by-step explanation:

Find two integers whose sum is -3 and product is -18

Answers

Answer: -6, 3

[] Our two integers will be x and y

        With this in mind,

                 x + y = -3

                 x * y = -18

[] Let's think about the factors of -18

        Then we will think about which ones could add up to 3

                 1 & 18, 2 & 9, 3 & 6 are factors of 18 (one being negative results in -18)

                 Well 1 and 18 cannot make 3, same for 2 and 9, that leaves us with 3 and 6.

[] Last, we will test

        You can see our test shows this solution works!

                 -6 + 3 = -3

                 -6 * 3 = -18

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Given m∥n, find the value of x and y.(9x+19), (5x-7), (y-1)

Answers

Answer: Your x value would be 12 and your y value would be 128

X = 12

Y = 128

Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing two hours later

Answers

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)











































(cAt)

Answers

Answer:

X = 2

equation x [tex]\leq[/tex] 2

Step-by-step explanation:

You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]

You do this because if you multiply 2*2x and 2*1 you will get 4x+2

Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]

So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like            [tex]2(2x+1)\leq 10[/tex]

So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]

you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5.         [tex]2x+1\leq 5[/tex]  

Now you subtract one from both sides    [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]

you'll get 2x=4

divide both sides by 2 to get x=2

To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]

[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]

since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation

what is the right answer

Answers

Answer:

C. The third option

Step-by-step explanation:

square root of 3 = 1.73

2/6 = 0.333

254% = 2.54

I hope that this helps!

The first three terms in a pattern are shown in the
image below. How many circles would be in the
5th term?

A. 10
B. 15
C. 18
D.20

Answers

Answer: 15

Step-by-step explanation: you basically add n per sequence.

0+1 = 1

1+2 = 3

3+3 = 6

6+4 = 10

10+5 = 15

Hope this helps

the answer is b which is 15

Draw and label a figure to represent the congruent triangles. Then find x and y.

please draw and label!!! i will give brainliest.

Answers

Answer:

hope it helps

Step-by-step explanation:

<K=<N

[tex]\\ \sf\longmapsto y+4=2y-15[/tex]

[tex]\\ \sf\longmapsto 2y-y=19[/tex]

[tex]\\ \sf\longmapsto y=19[/tex]

m<K=23°m<N=23°

[tex]\\ \sf\longmapsto 2x-3=5[/tex]

[tex]\\ \sf\longmapsto 2x=8[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

PM=5

Diagram attached

PLS HELP!! I WILL GIVE BRAINLIEST

refer to attachments for the question

Answers

In ∆PQR and ∆MNR

PQ=MNQR=RN<Q=<M=90°

Hence by

Side angle side congruency

[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]

Step-by-step explanation:

PQ ≅ MN                    ⇒  Given

QR ≅ NR                     ⇒ Given

R is midpoint of PM    ⇒ Given

PR ≅ MR                      ⇒ Definition of midpoint

ΔPQR ≅ ΔMNR           ⇒ SSS postulate

DUE IN 2 HOURS HELP QUICK! I WILL GIVE U BRAINLIEST

Answers

3 x 3 = 9, 3 x 3 = 9, 9 x 9 = 81
A is 81

7 x 7 x 7 x 7 = 2,401
2,401 x 7 = 16,807
B is 16,807

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000

10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

1000000000/ 10000000 = 100

C is 100

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625
390,625/ 5 = 78125
D is 78,125

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

(a)

3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]

(b)

7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]

c)

[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²

(d)

[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]

If you divied 5,500,000 divied by 8,800,000 what is the answer??

Answers

Answer:

0.625

Step-by-step explanation:

Just do, 5500000/8800000

Answer:

0.625

Step-by-step explanation:

Because I simplified the fraction

Francis graphs the system of equations to determine its solution.


3x+2y=12
3x−y=3


What is the correct solution?


Enter your answer by filling in the boxes.

Answers

Answer:

Step-by-step explanation:

3x+2y=12   x= −2/ 3 y+4

3x-y=3    x= 1 /3 y+1

i hope this helps in anyway :/

The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

What is a Linear Equation?

If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given that the system of linear equations;

3x + 2y = 12 and 3x − y = 3 is

Solving the equations by elimination, we get

x = 2 and y = 3

Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

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what is 5 taken away from the product of 4 and a number. ​

Answers

Answer:

3

Step-by-step explanation:

Not sure, but let's take 32 to be the answer

4(5+x)=32

4×5= 20

4×x= 4x

20-4x=32

4x=32-20

4x=12

12÷4

x=3

Answer:

4n - 5

Step-by-step explanation:

let the number be n then the product of 4 and this number is 4n

Subtract 5 from 4n gives

4n - 5

Given the Points (0,4) and (3,2) answer the following:
a. what is the equation of the line that goes through these points in
Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?

Answers

Answer:

a. y = -2/3(x) + 4

B. 2

C. 4

Step-by-step explanation:

The gradient, m = (2-4)/(3-0) = -2/3

A. To find the equation of the line we use:

y - y1 = m(x - x1).

We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.

We will pic points (0, 4)

Substitute it in the equation.

=> y - 4 = (-2/3) (x - 1)

cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.

=> y = (-2/3)x +4..

(ps: this x is a variable)

B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line

C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line

If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.A coffee ta

Answers

For the total multiply the amount by 1 + the meal tax:

25.30 x 1.08 = $27.32

Answer: $27.32

Li enters a competition to guess how many jelly beans are in a jar.
Li’s guess is 345 jelly beans.
The actual number of jelly beans is 300
.What is the percent error of Li’s guess?

Answers

Answer:

15% 15%

Step-by-step explanation:

it was correct for me

The percent error of Li’s guess is 15%

What is the absolute error?

"It is the absolute difference between an observed value and the actual value."

What is the relative error?

"It is the ratio of the absolute error of the measurement to the actual value."

What is the percent error?

"It is the relative error multiplied by 100."

For given example,

Li’s guess is 345 jelly beans.

observed value (E) = 345

The actual number of jelly beans is 300

actual value (A) = 300

So, the absolute error is,

Absolute error = |E - A|

                        = | 345 - 300|

                        = 45

Now, we find the relative error of Li's guess.

Relative error = 45 ÷ 300

Relative error = 0.15

The percent error is,

0.15 × 100 = 15%

Therefore, the percent error of Li’s guess is 15%

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10.
Identify the vertex of the parabola.



A. (−1, 0)

B. (0, −1)

C. (1, 0)

D. (0, 1)

Answers

Answer:

C. (1, 0)

Step-by-step explanation:

1,0 should be the vertex for this parabola

1,0 should be the correct answer

Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of ( g o f) (3)?

Answers

Answer:

6

Step-by-step explanation:

when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.

hope this helps! :D

Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.

Answers

Answer:

Bridget was thinking of the number 592

correct??

Step-by-step explanation:

i need answers thank you

Answers

Answer:

A

Step-by-step explanation:

x²-2/p(p²+1)+4
What is the value of factor

Answers

p=2 or p=−1

Explanation:

The roots of a quadratic ax2+bx+c=0 are equal when the discriminant (b2−4ac) is equal to 0

In this case

a=1

b=−2p

c=(p+2)

So the discriminant is

(-2p)2−4(1)(p+2) =4p2−4p−8

which factors as

=4(p−2) (p+1)

and the discriminant

=0 if p=2 or p=−1

(X-2)(x+1)
Expand and simplify

Answers

☆Answer :

(x - 2)(x + 1) = ...

= x² + (-2 + 1)x + (-2•1)

= x² - x - 2

1. Write the following statements in the from of equations. a. One third of a number plus 7 is 26
pls tell step by step ​

Answers

Answer:

1/3x+7=26

Step-by-step explanation:

1/3 of a number which could anything so mark as X

add 7

equals 26

1/3x+7=26

Need help with this.

Answers

Answer:

A. The reciprocal of 9/10 is 10/9

B.2/3

Step-by-step explanation:

A. A reciprocal is the inverse of a number

B. 3/5*10/9=

30/45 or 2/3

Difference between 42.4 and 3.74

Answers

Answer:

38.66

Step-by-step explanation:

Does 2/3 +3/4 + 1/5 = 1 37/60? Why or why not?​

Answers

Answer:

97 / 60 is what 2/3 + 3/4 + 1/5 comes

They also come to 1 37/60

Step-by-step explanation:

1 37/60 = 97/60           Does it?

Result = 2/3 + 3/4 + 1/5

The common denominator is 3 * 4 * 5 = 60, so that much is true.

2/3 = 40/60

3/4 = 45/60

1/5 = 12 / 60

When you add these three together, the numerator is 40 + 45 + 12 = 97

So the answer is correct.

subtract. write your answer as a fraction in simplest form. 5/9 - 2/9 = what​

Answers

Answer:

[tex] \frac{5}{9} - \frac{2}{9} = \frac{3}{9} [/tex]

hope helpful <3

Answer:

3/9

Step-by-step explanation: don't think of it as a fraction just subtract the top 2 numbers and you would get 3/9 in the simplest form is 1/3

x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120 Factor completely given the following factors: (x+5) and (x+3) There should be 6 factors (2 given, 2 binomials, and 2 trinomials.) show steps​

Answers

Answer:

(×+3)(×+5)(×2)(×-1) (×^2+2×+4)(×^2+×+)

Step-by-step explanation:

Where the given one is bolded the 2 binomials is italicized Ang the 2 trinomials is underlined

pa BRAINLEST pls

help me please please please

Answers

Answer:(-2, -3)

Step-by-step explanation:

U do it then flip it upside down

Simplify 38 - 32
-
A. 34
B. 36
c. 310
D. 3-6

Answers

Answer:

38 - 32 = 6

Step-by-step explanation:

subtract the question

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