Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .

Answers

Answer 1

Answer:

[tex]Blue =1\frac{3}{5}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 1\frac{1}{3}[/tex]

[tex]Red = 1\frac{2}{3}[/tex]

Required

Determine the amount of blue paint when Red = 2

To do this, we make use of the following equivalent ratios

[tex]Ratio = Blue : Red[/tex]

When  [tex]Blue = 1\frac{1}{3}[/tex] and  [tex]Red = 1\frac{2}{3}[/tex]

[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

When Red = 2

[tex]Ratio = Blue : 2[/tex]

Equate both ratios

[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

Convert to division

[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]

Convert fractions to improper fraction

[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]

Make Blue the subject

[tex]Blue =\frac{4}{5}*2[/tex]

[tex]Blue =\frac{8}{5}[/tex]

[tex]Blue =1\frac{3}{5}[/tex]


Related Questions

A copy machine makes 28 copies per min. How long does it take to make 119 copies?

Answers

Answer:

4 minutes and 15 seconds

Step-by-step explanation:

119/28 = 4.25 (minutes)

.25 of a minute is 15 seconds, so the answer is 4 minutes and 15 seconds

Simply divide 119 per 28. The answer is 4 minutes and 15 seconds

Q1: In the isosceles triangle below the legs are twice the
length of the base. The perimeter is 100 cm. What are the
dimensions of the isosceles triangle?

Answers

Answer:

The base of the triangle has a size of 20 cm, while each side has a size of 40 cm.

Step-by-step explanation:

An isosceles triangle is one that has two sides with an identical value, and one side with a different value from the previous ones. Thus, in the case the base will have a different value from the sides. In this regard, the perimeter (the sum of the sides) of the triangle is 100 cm, and the longest sides are twice the size of the base. Therefore, to determine the value of each side of the triangle, the following calculation must be performed:

X + 2X + 2X = 100

5X = 100

X = 100/5

X = 20

Thus, the base of the triangle has a size of 20 cm, while each side has a size of 40 cm.

Homework 9.4 Equations and Word Problems
The flag of a country contains in the senseless triangle if the measure of the third angle of the triangle is 30° more than twice the measure of either of the other two angles find the measure of each angle of the triangle

Answers

Answer:

idc

Step-by-step explanation:

What is 13x + 21y - 14x - y simplified?

Answers

Answer:

-x + 20y

Step-by-step explanation:

trust me.. its right

The price of oil decreased from $52 per barrel to $48 per barrel. What is the percentage decrease in the price of oil? Round your answer to the nearest tenth of a percent.

Answers

Answer:

7.7%

Step-by-step explanation:

Given that,

The price of oil decreased from $52 per barrel to $48 per barrel.

We need to find the percentage decrease in the price of oil. It can be calculated as follows :

[tex]\%=\dfrac{52-48}{52}\times 100\\\\=7.69\%[/tex]

or

= 7.7%

So, the percentage decrease in the price of oil is 7.7%.

Answer:7.7%

Step-by-step explanation:

In 1990, the cost of tuition at a large Midwestern university was $99 per credit hour. In 2003, tuition had risen to $268 per credit hour

Answers

Answer:

63%

Step-by-step explanation:

From the question, we aim to find the percent increase in the tuition

Given data

initial cost= $99 per credit hour

Final cost=  $268 per credit hour

% increase= (Final - initial )/initial *100

substitute

% increase= (268- 99 )/268 *100

% increase= 169 /268 *100

% increase= 0.630*100

% increase= 63%

Hence the increase in the tuition from 1990 to 2003 is 63%

A total of 328 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the
number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

246 adult tickets were sold

Step-by-step explanation:

System of equations:

Variables:

x = number of adult tickets sold

y = number of student tickets sold

There were a total of 328 tickets sold, thus:

x + y = 328

The number of student tickets sold was three times the number of adult tickets sold, thus:

y = 3x

Substituting in the first equation:

x + 3x = 328

Simplifying:

4x = 328

Dividing by 4:

x = 328/4

x = 82

y = 3*82= 246

246 adult tickets were sold

Find the missing value.
Hint: Use the number line to find the missing value.

Answers

the answer is -12
hope this helps!

The answer is -12! Good luck!



Cost of materials used $45,000

Direct labor costs 48,000

Factory overhead 39,000

Work in process, beginning 18,000

Work in process, ending 28,000





What is the cost of goods manufactured?

a.
$122,000
b.
$132,000
c.
$142,000
d.
$178,000

Answers

d $178,000 cost of foods

Q.1 Thee are five girls and three boys in a group. The teacher chose one person at random. How could the teacher make a random choice?

Q.2 A random number generator generates a whole number in the range 1 to 100. What is the probability it is 40 or more if the number is greater than 25?

Answers

Answer:

Q1: She can write names of each Student on separate Papers and choose one Randomly, the Result may be 5:3 Girls to Boys

Q2: 75/100

Find c.
Round to the nearest tenth:

Answers

Answer:

Step-by-step explanation:

2/Sin(105) = c / sin(15)

2 * sin(15) = c * sin(105)        Divide by Sin(105)

2 * sin(15)/Sin(105) = c

2 * 0.2679  = c

c = 0.539

c = 0.5

how do you subtract a deciamal with different denominators?​

Answers

Answer: decimals dont have denominators fractions do

It is not suppose to say college. (not part of the question)

Encountering a head wind of 30 miles per hour, it took a plane, whose speed would have been 450 miles per hour, 6 hours to fly from San Diego to Honolulu. What was the distance between these two points?

Answers

Answer:

32 I would say is the correct answer to this question

If a person can see 6 miles from a height of 25 feet, how far can a person see from a height of 196 feet?

Answers

Answer:

24 miles

Step-by-step explanation:

(3x ^ 2 - 4 + x ^ 3) / (x - 1)
Synthetic Division

Answers

Answer:

i love algebra anyways

the ans is in the picture with the steps

(hope it helps can p lz have brainlist it will make my day

Step-by-step explanation:

(3b+2)(b-8) multiply

Answers

Answer:

3b^2-22b-16

Step-by-step explanation:

3b^2-24b+2b-16=

3b^2-22b-16

Answer:

3b^2 -22b -16

Step-by-step explanation:

(3b+2)(b-8)

FOIL

first :3b*b = 3b^2

outer : 3b *-8 = -24b

inner: 2*b = 2b

last: 2*-8 = -16

Add them together

3b^2 -24b+2b -16

Combine like terms

3b^2 -22b -16

Find the surface area of this rectangular prism: Don't forget to show the unit of measure.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the attachment of the prism is not given.

From the attachment:

[tex]L =10cm[/tex] -- Length

[tex]W = 4cm[/tex] -- Width

[tex]H=5cm[/tex] -- Height

Required

Determine the volume

So, the volume is:

[tex]Volume = Length * Width (* Height[/tex]

[tex]Volume = 10cm * 4cm * 5cm[/tex]

[tex]Volume = 200cm^3[/tex]

Find the measure of x, then the measure of А
(33-9x)"
48/Dc
x =
degrees


I need it now please!!!

Answers

Answer:

x = - 11 ; m∠B = 132°

Step-by-step explanation:

(33 - 9x)° + 48° = 180°

33 - 9x + 48 = 180

81 - 9x = 180

- 9x = 99

x = - 11

m∠B = [33 - 9(- 11)]° = (33 + 99)° = 132°

m∠B = 132°

Find the diffrence between 7/8 and 1/2 and find the sum of 1/5 and 2/3

Answers

Answer:

3/8 and 13/15

Step-by-step explanation:

find the common denominator

Help ASAP I’ll mark brainliest

Answers

D because negative is down right

Answer:

D

Step-by-step explanation:

It starts at the left and starting at the left the points start to go down which means it is negative

12. The win-loss record for a football team is 15 wins and 9 losses. What percent of their games
did they win?

Answers

Answer:

62.5%

Step-by-step explanation:

if they won 15 and lost 9 games then they played a total of 24 games (15+9).  Then you just divid the number of wins (15) by the total number of games they played (24).  SO, 15/24=0.652 or 62.5%

There are 750 students at school. The ratio of the number of students who do not wear glasses to the number of students who wear glasses is 500:250. Which of the following statements are correct? Select ALL that apply.

Answers

Answer:

what are the options

Step-by-step explanation:

Jamey has 4 quarters, some dimes, and some pennies. If the ratio of quarters to dimes is 8 : 6 and the ratio of pennies to dimes is 7 : 3, then how many pennies does Jamey have?

Answers

Answer:

7

Step-by-step explanation:

the ratio of [pennies to dimes is 7:3.... 7 represents pennies and 3 dimes

By the given ratio, Number of pennies does Jamey have are 7.

What is a ratio?

"A ratio compares values. A ratio says how much of one thing there is compared to another thing."

According to the question

Jamey has 4 quarters, some dimes, and some pennies.

Ratio of quarters to dimes is 8:6

So, [tex]\frac{4}{d}=\frac{8}{6}[/tex]

⇒ [tex]8d = 6(4)[/tex]

⇒ [tex]d=\frac{6}{2}[/tex]

⇒ [tex]d=3[/tex]

Ratio of pennies to dimes is 7 : 3

So, [tex]\frac{p}{d}=\frac{7}{3}[/tex]

By substituting d = 3

⇒ [tex]\frac{p}{3}=\frac{7}{3}[/tex]

⇒ [tex]p = \frac{7}{3}(3)[/tex]

⇒ [tex]p =7[/tex]

Hence, number of pennies does Jamey have are 7.

Learn more about ratio here

https://brainly.com/question/10167786

#SPJ2

Write 10 3 without an exponent what number Is this ? 5.102+ 3

Answers

The value of 10^3 in standard form is 1000

Exponents and values

Give the exponential form 10^3

This means the product of 10 in 3 places. Mathematically;

10^3 = 10 * 10  10 * 10

10^3 = 100 * 10

10^3 = 1000

Hence the value of 10^3 in standard form is 1000

Learn more on standard form here: https://brainly.com/question/19169731

A person places $85800 in an investment account earning an annual rate of 8.5%,

compounded continuously. Using the formula V = Pert, where V is the value of the

account int years, P is the principal initially invested, e is the base of a natural

logarithm, and r is the rate of interest, determine the amount of money, to the nearest

cent, in the account after 9 years.

Answers

Answer:

$184383.7

Step-by-step explanation:

We are given that

Principal, P=$85800

Rate of interest, r=8.5%=0.085

Time, t=9 years

We have to find the amount of money after 9 years

[tex]V=Pe^{rt}[/tex]

Using the formula

[tex]V=85800e^{0.085\times 9}[/tex]

[tex]V=184383.7[/tex]

Hence, the amount of money after 9 years=$184383.7

What is the equation of the line that is parallel to y = 3x - 1 and goes through the point (0, 9)?

Answers

Answer:

Step-by-step explanation:

y - 9 = 3(x - 0)

y - 9 = 3x - 0

y = 3x + 9

Can somebody please help me!!

Answers

Answer:

C≈15.71

Step-by-step explanation: use the circumference formula

Answer:
C≈15.71
Explanation:
Simply, use the circumference formula in order to find the circumference of the circle and then round it to the nearest hundredth.

This table shows how long, in minutes, it takes Jeremiah to run his miles.
How long does it take him to run 5 miles? *

Answers

Answer:

45

Step-by-step explanation:

follow the table of 9.

9x2=18

9x3=27

9x4=36

9x5=45

Check all the statements that are true:

a. A predicate is a proposition-valued function.
b. It is possible to define disjunction using only negations and conjunction.
c. A conditional is false when both premise and conclusion are false.
d. Domain-restricted universal quantification is logically equivalent to the unrestricted universal quantification of a conditional.
e. The negation of a conjunction is the disjunction of the negations.
f. Inverse and converse are logically equivalent.
g. (p→q)∧(p→¬q) is a contradiction.
h. (p→q)∨(p→¬q) is a tautology.
i. Domain-restricted existential quantification is logically equivalent to the unrestricted existential quantification of a conditional.
j. The contrapositive is the inverse of the converse.

Answers

Answer:

a. True

b. False

c. True

d. True

e. False

f. True

g. False

h. True

i. True

j. True

Step-by-step explanation:

The statement a and i are true. The predicates can be defined without an input variable. These numerical variables can be defined without an input variable. The statement b is false since the p to q is not in conjunction rather its contradiction.

Answer:

true

false

true

true

false

true

false

true

true

true

Extend the pattern below by four terms write an observation about the pattern pattern 76, 70, 64,58,52

Answers

Answer:

46, 30, 24, 18, 12

Step-by-step explanation:

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