You mix 4/5 quart of blue paint for every 1/3 quart of red paint to make 3 2/5 quarts of purple paint. How much blue paint and how much red paint do you use?

Answers

Answer 1

Answer:

1 quarts of red paint

2.4 quarts of blue paint

Step-by-step explanation:

Let :

a = quarts of blue paint

b = quarts of red paint

a + b = 3 2/5

a + b = 3.4 - - - (1)

Ratio of a and b :

a/b = 4/5 ÷ 1/3 = 4/5 * 3/1 = 2.4

a/b = 2.4

a = 2.4b - - (2)

From (1)

2.4b + b = 3.4

3.4b = 3.4

b = 1

a + b = 3.4

a + 1 = 3.4

a = 3.4 - 1

a = 2.4


Related Questions

Solve
6(x + 4) = 30
+

Answers

Answer:

x = 1.

4+1×6=30

Step-by-step explanation:

thats about right

Answer:

6(x+4)=30

6x+24=30

6x=30-24

6x=6

x=1

Triangle a is reflected i nthe x-axis to give b triangle b isreflected in the y axis to give shape c

Answers

Answer:

Hello your question is poorly written attached below is the complete question

Triangle A is reflected in the X-axis to give triangle B , and Triangle B is reflected in the Y axis to give shape C

ii) Draw triangle B and label it

ii) Draw triangle C and label it

answer : attached below

Step-by-step explanation:

Attached below is The graph showing the Triangles A , B and C drawn and labelled using online tools

A rectangle is 6 units by 5 units give its area an perimeter

Answers

Answer:

22

Step-by-step explanation:

Perimeter is every side added together soo...

6 + 5+ 6+ 5 =22

answer:

area = 30 units²

perimeter = 22 units

step-by-step explanation:

know the formulasarea = l x wnow plug in what we know

6 X 5 = 30 units²

for perimeter, we just have to add all sides

6 + 6 + 5 + 5 = 22 units

Does this triangle have a hypotenuse of 39 feet long

Answers

Answer:

Yes it does

Step-by-step explanation:

did it on edge

please help me with both a and b, i am clueless

Answers

1. Yes because the first ratio would be 1:5 and the second would be 1:5 because you would divide the first one by 4 and the second by 3
2. And then by would be the same

NEED ANSWER SUPER FAST!

Sara’s ice cream looks pretty normal. It is shaped like a cone topped with a half-sphere. The cone
has a height of 9 in and a radius of 4 in.
What is the approximate volume of the whole shape? Round your answer to the nearest tenth. Use
3.14 to approximate pi. (Show your work.)

Answers

THE ANSWER IS THE VOLUME IS 150.8 INCHES CUBED !!!!!

[HELP ANSWER QUICK 50 POINTS !] The steps below can be used to show that xo =2x.
Step 1: (**)
2
= x
Step 2: (Vx)2 = x
Step 3:
=
1
Step 4: x
=
Which of these correctly completes step 3?

Answers

Answer: step 2?

Step-by-step explanation:

Answer: I’m pretty sure the answer is b but I’m not 100% sure

Step-by-step explanation:

Find the total surface area of the figure below:

Answers

Answer:

95

Step-by-step explanation:

Formula -

Triangle Area - 1/2bh

Square - l x w

Triangle - 5 x 7 = 35/2 = 17.5

Since there are four triangle, we will multiply 17.5 x 4 which is equal to 70

Square  - 5 x 5 = 25

Now we add both 70 and 25 which is 95

So the total surface area is 95

Answer:

95

Step-by-step explanation:

Area of the triangles:

A = (base × height) ÷ 2A = (5 × 7) ÷ 2A = (35) ÷ 2A = 17.5Because there are 4 triangles, we can do our answer of one triangle × 4So, 17.5 × 4 = 70

Area of a square:

The sides of squares are the sameA = L × WA = 5 × 5A = 25

Put them together:

Area of triangles + area of the square = surface area70 + 25 = suface area70 + 25 = 95

I hope this helps!

Which expression is equivalent to -4(7-2m)+11m
answer choices:
a. 19m
b. -28+19m
c. -28+3m
d. -9m
I NEED HELP ASAPPP
please give me a correct answer!!

Answers

Answer:b

Step-by-step explanation:

An offshore oil well is 1 mile off the coast. The oil refinery is 4 miles down the coast. Laying pipe in the ocean is twice as expensive as laying it on land. Find x, and consider how finding x helps determine the most economical path for the pipe from the well to the oil refinery.

Answers

Answer:

[tex]x = \frac{\sqrt 3}{ 3}[/tex]

Step-by-step explanation:

Given

See attachment for complete question

First, we calculate the water pipe length (AC):

[tex]AC^2 = AB^2 + BC^2[/tex]

[tex]AC^2 = 1^2 + x^2[/tex]

[tex]AC^2 = 1 + x^2[/tex]

[tex]AC = \sqrt{1 + x^2[/tex]

The cost of laying across water is twice (2 times) laying on land.

So, the total cost (C) is:

[tex]C = 2 * \sqrt{1 + x^2} + 1 * (4 - x)[/tex]

[tex]C = 2 \sqrt{1 + x^2} + (4 - x)[/tex]

Differentiate

[tex]C' = \frac{2x}{\sqrt{1 + x^2}} - 1[/tex]

To find the most economical cost, we simply minimize C' by equating C' to 0

[tex]C' = 0[/tex]

[tex]\frac{2x}{ \sqrt{1 + x^2}}-1 = 0\\[/tex]

[tex]\frac{2x}{ \sqrt{1 + x^2}}=1[/tex]

Cross multiply

[tex]2x= \sqrt{1 + x^2}[/tex]

Take square of both sides

[tex]4x^2 = 1+x^2[/tex]

Collect like terms

[tex]4x^2 -x^2= 1[/tex]

[tex]3x^2= 1[/tex]

Solve for [tex]x^2[/tex]

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

Solve for x

[tex]x = \sqrt{\frac{1}{3}}[/tex]

[tex]x = \frac{1}{\sqrt 3}[/tex]

Rationalize:

[tex]x = \frac{1}{\sqrt 3} * \frac{\sqrt 3}{\sqrt 3}[/tex]

[tex]x = \frac{\sqrt 3}{ 3}[/tex]

Find an overestimate for 33 x 67 by adjusting each factor up to the next ten

Answers

Answer:

210 Is my estimate

Step-by-step explanation:

Determine the domain of the following graph:

Answers

Answer:

Im not sure but I think its All real numbers

The standard form of the number 5, 976,000,000,000,000,000,000,000 is​

Answers

Answer:

[tex]5.976\times10^{24}[/tex]

Step-by-step explanation:

Standard form, also called scientific notation, is a more compact way of writing very big or very small numbers. All numbers in scientific notation have the form

[tex]m\times10^b[/tex]

where m is a number between 1 and 10, and b is an integer that represents how we've shifted the decimal point from the original number. For example, the number 23,000 in standard form would be written as 2.3 × 10⁴, since we have to shift the decimal point 4 places to the right to get back our original number.

We can turn 5,976,000,000,000,000,000,000,000 into a number between 1 and 10 by shifting the decimal 24 places to the left, giving us 5.976. We'll save that 24 as the exponent for our 10, giving us the final form

[tex]5.976\times10^{24}[/tex]

The hourly rate of your new job is $5.00 per hour. You expect a raise of 9% each year. At the end of your first year, you receive your first raise. What will your hourly rate be at the end of your fifth year?*​

Answers

Answer:

Step-by-step explanation:

$5×1.09 = $5.45

What does j = 8j – 7 = 57

Answers

Answer:

j = 8

Step-by-step explanation:

8j - 7 = 57

8j = 64

64 / 8 = 8

What is the value of x in the triangle?

A: 289
B: 17
C: 15
D: 14.2

Answers

Should be 14.2

Because if you square root 514 you get 22.6 then you do 15x15 and you get 225 then you subtract 225-22.6 and you get 14.2

A shopkeeper buys a television from a manufacturer. The shopkeeper sells the television for $2700 at a profit of 20% A)how much money did the shopkeeper pay the manufacturer for the television B) if the shopkeeper gives 10% discount for cash. How much money does a customer pay for the television

Answers

Answer:

$2250

$2430

Step-by-step explanation:

If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price

let t = cost price of the television

the following equation can be derived

1.2 x t = $2700

divide both sides by 1.2

t = $2250

If there is a 10% discount, the television is (100 - 10%) 90% cheaper

0.9 x 2700 = $2430

The perimeter of a regular hexagon is 78 cm .What will be the length of each side?

Answers

Answer:

13 cm

Step-by-step explanation:

78/6=13

Answer:

13cm

Step-by-step explanation:

regular means the sides are equala hexagon has 6sides78/6=13

HURRY
2. Describe the steps you would take to solve the equation
3x - 2 = 7. Then, solve the equation.

Answers

Answer:

x = 3.

Step-by-step explanation:

1.  Add 2 + 7, and you get 9.

2.  Now find what 3 multiplied by what equals 9.

3. 3 x 3 = 9.

4.  Therefore, x = 3.

5.  3 x 3 - 2 = 7.

Add 2 to both sides of the equation, Simplify, Divide both sides of the equation by the same term, Simplify again. 3x-2=7. 3x-2+2=7+2. 3x=9. 3x/3=9/3. Answer:x=3

Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton. dont answer it take the pts and leave

Answers

Answer:

OK sounds good

Step-by-step explanation:

A boat travels 32 miles in 1 hour(with a constant speed) how far can it travel in 22 hours ( with the same speed)

Answers

Basically multiply the 32 mph with the 22 hours (since its per hour, the units carry over), and you get 704 miles!

S=2 (LW+Lh +Wh)
slove for (w)​

Answers

Answer:

Hello am greatly sorry for doing this but I needed to share this for clarification of the physics question.

( 3 - 4i ) + ( 6 + 7i )

Answers

Answer:

9 + 3i

Step-by-step explanation:

( 3 - 4i ) + ( 6 + 7i )

We add like terms :)

the answer is 9 + 3i

Pls pls pls help! Giving brainliest! (Math 3)
A town experiences a population growth after a new manufacturing plant opens. If the trend continues, the equation 50,000=24,000(1.23)^t can be used to find the amount of time, t, in years, it will take for the population of the town to reach 50,000
A) t=0.15
B) t=2.10
C) t=3.55
D) 49.11

Answers

Answer:

I think it's C. I'm very very very sorry if it's not

Step-by-step explanation:

Joshua made note of all the bicycles and cars he could see parked or locked on a
certain city block. All the cars had exactly four wheels, and all the bicycles had exactly
two wheels. How many wheels were on the block if there were 6 bicycles and 11 cars?
How many wheels were on the block if there were x bicycles and y cars?

Answers

Answer:

56

Step-by-step explanation:

11*4=44

6*2=12

44+12=56

Please help if you don’t mind

Answers

Answer:

41in^3

Step-by-step explanation:

PLEASE HELP
WORTH 30 PTS!!
Choose the step that shows where a mistake is made (if there is one).

-2(x + 4) + 4x = 16

Step 1 -2x + 8 + 4x = 16

Step 2 2x + 8 = 16

Step 3 2x = 8

Step 4 x = 4

a Step 1

b Step 2

c Step 3

d Step 4

e No mistakes were made. The steps are correct and the answer is x = 4.

Answers

Answer:

The mistake is in step 1 when you do -2(x+4) you do the distributive property first -2 times x is -2x that's correct but -2 times 4 is not 8 it is -8

when you multiply by negatives the answer will always be a negative unless your multiply 2 negative number together then itll be positive ex. 4 × -4 = -16 (negative) but -4 × -4 = 16 (positive)

What is the X intercept of the equation y-1= -(x+5)?

Answers

Answer:

X-intercept is -4

Step-by-step explanation:

Find the area using sine rules.

Answers

Answer:

22.44 mi²

Step-by-step explanation:

Step 1

Find the missing angle:

m∠H = 180° - (47° + 99°) = 34°

Step 2

Find the missing sides by using the law of sines:

sin 34° / 5.9 = sin 47° / HP = sin 99° / HKHP = 5.9 sin 47°/sin 34° = 7.7 miHK = 5.9 sin 99° / sin 34° = 10.4 mi

Step 3

Use Heron's formula for the area:

A = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex], where s is semi-perimeter, and a, b, c - sides

Find s:

s = 1/2(5.9 + 7.7 + 10.4) = 12

Find A:

A = [tex]\sqrt{12(12 - 5.9)(12 - 7.7)( 12 - 10.4)}[/tex] = 22.44 mi²

what are the focus and directrix of the parabola with the equation y = 1/2 x2

Answers

Answer:

1/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please write this as y = (1/2)x^2 for greater clarity.  (1/2) is the coefficient of x^2 here.  

The applicable form for the equation of this quadratic is 4py = x^2.  

Your y = (1/2)x^2  becomes 2y = x^2.  Therefore, 4p = 2, or p = (1/2).

Thus, the focus is (0, 1/2) (just above the vertex, (0, 0) ), and the equation of the directrix is y = -1/2.

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