Question 1 (Essay Worth 10 points)
(02.01;02.02 MC)

The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1.

Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. (4 points)

Part B: How many cups of yellow paint should Garcia add to each cup of red paint to make the shade of orange? Explain your reasoning. (4 points)

Part C: If Garcia purchased 6 cups of red paint for $42, what is the unit price per cup of red paint? (2 points)

Answers

Answer 1

Part A: Garcia mixed 4 cups of red with 1 cup of yellow.

Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.

Part C: $7

Hope this helps! :)

Answer 2

The unit price for a cup of red paint is equal to $7

What is the unit rate?

Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.

Given here: The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1

For every yellow cup of paint Garcia mixed 4 cups of red paint to the mixture.

Now the ratio given here is  4:1

Thus for every 1 cup of yellow paint garcia mixes 4 cups of red paint

or for 1 cup of red paint garcia mixes 1/4 cup of yellow paint to the mixture.

Because 1:4=1:1/4

Now in a shade of orange paints there are 4 cups of red paint and 1 cups of yellow paint thus total cups of paint=5

Now 6 cups of red paint cost $42

Thus 1 cup of red paint is equal to 42/6=$7

Thus cost of each red paint is equal to $7

Hence, The unit price for a cup of red paint is equal to $7

Learn more about the unit rate here:

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Related Questions

What is the shape that the question below

Answers

Answer:

Answer: D

Step-by-step explanation:

Let's just go through it.

No parallel sides A B C (if you believe the diagram) D F

Not regular (and no parallel sides) (if you believe the diagram) B C D F

No Lines of symmetry (that means that if you put a mirror on a line of symmetry) what you see as an image will be the same as what there is in front  of the mirror. C D F

Has a reflex angle. (Just to remind you, it is an angle greater that 180 but less than 360

That lets out everybody but D.

Answer: D

Step-by-step explanation:

1. C and G have one set of parallel sides, and E, H, and I have two sets of parallel sides so they can be ruled out.

2. Regular shapes have sides that are all the same length and angles that all measure the same. A can be ruled out in addition to I which was already ruled out.

3. B can be ruled out now.

4. The only one with a reflex angle (greater than 180 degrees) is D.

can someone help me with this question? i’ll mark as brainliest if correct! thanks

Answers

Answer:

17y

Step-by-step explanation:

if 7Y is added to 8Y then its 15Y but since it says that you should add a 2Y at the end it adds up to 17Y cmon this is basic math brutha

The left diagram and the left model are the correct ones btw if you need to know each kid gets 8p aka 8 popsicle sticks

A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.

Answers

The answer would be X=50 y=10
I think x=50 and the other part y=10

please help FAST!!! <3 ILL GIVE BRAINLIEST

Answers

Answer:

Triangle

base 8  

Height 6

Area 48

Rectangle

Length 16

Width 10

Area 160

48+48+160=256

Total Area of the Hexagon

256

the total area is 256

BRAINLIEST iF correct

Answers

Answer:

See below.

Step-by-step explanation:

There are 28 things in the jar, of which 7 are watermelon.

You pick one at random, the chance it is NOT watermelon would be 21/28.

This is equal to 75% and 3/4

Answer:

75% (You'r correct)

Step-by-step explanation:

8 + 7 + 10 + 3 = 28

10 + 3 + 8 = 21

21/28 = .75

.75*100 = 75%

PLS HELP ME LIKE RIGHT NOW :(

Answers

Answer:

Volume = 66

Surface are = 144

Step-by-step explanation:

1. Volume

The formula to find the volume of a triangular prism is the following,

[tex]A=\frac{l*w*h}{2}[/tex]

The following information is given,

lenght = 4

width = 11

hieght = 3

Substitute these numbers into the formula and solve for the heihgt,

[tex]A=\frac{l*w*h}{2}\\\\A=\frac{4*11*3}{2}\\\\A=66[/tex]

2.Surface area

The surface area of a figure is the two-dimensional distance around the figure. It can be found by finding the area of each face of the figure and then adding the result up.

The formula to find the area of a rectangle is the following,

[tex]A_r=(lenght)(width)[/tex]

The formula to find the area of a triangle is the following,

[tex]A_t=\frac{(legnth)(width)}{2}[/tex]

Substitute in the give values and add up the results to find the total surface area of the rectangle,

[tex]((5)(11))+((4)(11))+((3)(11))+(\frac{(3)(4)}{2})+(\frac{(3)(4)}{2})\\\\=55 + 44 + 33+ 6 + 6\\\\= 144[/tex]

V= 66
.
.
.
.
.
.
.
.

SA= 144

Haley is reading a book. Yesterday, she read 19 pages. The day before, she read 20 pages. How many pages much she read today in order to average 20 pages per day

Answers

Answer:

21

Step-by-step explanation:

Answer:

she will need to read 21 pages today

Step-by-step explanation:

The average is the middle number if u  want 20 u need 1 number more and one less

Brain to first correct answer

Answers

Answer:  40%

Explanation:

Add up the numbers shown: 10+11+3+1 = 25

Then we divide like so: 10/25 = 0.40 = 40%

I can confirm it’s 40

PLEASE HELP ME LIKE RIGHT NOW!!!! plws :(

Answers

Answer:

first one 17 and second one is 92

1. 17° | adjacent angle.

2. 92° | vertically opposite angles.

3. 62° | adjacent angles.

​Gianna rented shoes, bowled 3 games, and bought 1 order of nachos. She used a coupon for 25% off the price of her bowling games only.

Answers

The answer is A.

Each game is 4$ which makes it 12$
Rented shoes are 3.75$
And the nachos are 1.80$
All this added is 17.55$
And 25% off of that is 13.16$
1.80+3.75=5.55 and .25 of 12 is 9 so 9+5.55 is 14.55

-13 + 25 = -4(x + 1) whats the value of x? ill give brainliest

Answers

This answer is X=-4

Work shown in the picture
Answer: x=-4

Explanation:

Ollie baked cookies for his math class' end-of-year party. There are 24 people in the class. If Ollie baked enough cookies for everyone to get 2 cookies each, how many cookies did he bake?

Answers

I say it’s 48 because you do 24•2=48

In tennis, Gabby serves an ace, a ball that can't be returned, 7 out of the 10 times she serves. A good prediction for how many aces Gabby will have in the next 40 serves is aces.

Answers

Answer:

28 aces

Step-by-step explanation:

Ace accuracy = 7/10 = 70%

Next 40 aces=70% of 40

= 70/100 x 40

= 28 aces

28 aces hope this helped

PLEASE ANSWER THiS QUESTION ASAP

Answers

Answer:

Volume=66

Surface Area=144

Step-by-step explanation:

Volume:

3x4x11=132

132/2=66

Surface area:

11x4=44

11x3=33

3x4/2=12/2=6

6x2=12

5x11=55

44+33+12+55=144

Volume- 66 Surface area- 144
That’s what I got not sure if it’s right

BRAINLIEST IF CORRECT

Answers

Answer:

what's the question?????????

What is the question

The system of equations has no solution:
True or False?
y = (2/3)x - 5

4x - 6y = 30

Answers

It’s false because, a system of linear equations has one solution when the graphs intersect at a point.
The answer for this question would be false

answer pls best gets brainiest

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer this fast and correct and you will get a thanks, a brainliest and a 5-star review along with 10 points!

Answers

The answer is 25% if you subtract 55 by 30 you will get 25
Answer:  50

====================================================

Work Shown:

55% = 55/100 = 0.55

55% of 200 = 0.55*200 = 110 people prefer dogs

30% of 200 = 0.30*200 = 60 people prefer cats

Subtract the results: 110-60 = 50

pls help i beg i will give brainlist and points

Answers

Answer:

7. 1/10 or 10%

9.5/10

11.5/10

13.9/10

Step-by-step explanation:

10%
50%
50%
90%

I did the math

PLEASE I NEED THIS ASAP MY TEST HAS A LIMIT TIME AND I ONLY HAVE 2 MINUTES LEFT PLEASEEEEE <33


2 5
- * -
3 11

Answers

Answer:

10/33 I hope this helps. Good luck!

yup it is 10/33 he got it right

Please Help Me with Q4!!

Answers

Answer:

0,-3

Step-by-step explanation:

It is where the lines intersect!

(0,-3)




That’s the answer

Can someone help me on this it is so confusing to me. Will give Brainliest!

Answers

Answer:

Step-by-step explanation:

Janet uses less than 4 cups of flour because 3/8 is less than one.

Janet uses less than 4 cups of flour because 3/8 is less than 4

Christine has bought 6 bags of chips that she bought for $3.60. How much would it cost if she bought 11 bags of chips?

Answers

The answer is $39.60

By using unitary method, Cost of 11 bags of chips is $6.6.

What is unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given

Christine has bought 6 bags of chips that she bought for $3.60.

Cost of 11 bags of chips = ?

6 Bags ⇒ $3.60

11 Bags ⇒ X

6X = 11 × 3.60

X = [tex]\frac{11(3.6)}{6}[/tex]

X = [tex]\frac{11(36)}{60}[/tex]

X = [tex]\frac{33}{5}[/tex]

X = 6.6

Thus, Cost of 11 bags of chips is $6.6.

Find out more information about unitary method here

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The first day of Sam's vacation was a Monday.
What was the day of the week on Sam's 36 day of vacation?

answer options:
Monday
Tuesday
Wednesday
Thursday

for my answer, I got sunday, but it doesn't show it as an answer. i don't know if I did it wrong or not lol

Answers

b is your answer today because it is the right anawer

Answer:

I got Tuesday.

(dont count the weekends)

can yall pls help me with this, it isn't that hard but i need to know how to solve it in steps and in how to narrow it down, ty.

Answers

Answer:

[tex]\frac{times}{days}[/tex] = [tex]\frac{20}{5}[/tex] = [tex]\frac{m}{30}[/tex]

you need to be consistant when setting up the proportions. The times always need to be on top and the days needs to always on bottom.

Cross multiply and solve for the variable.

20(30) = 5(m)

600 = 5m

120 = m

So, in 30 days the theatre showed 120 movies.

This is all you need to do, don’t worry we all struggle :)

Find m∠EGF. please help!

Answers

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

We're provided - ∠AGB = 30° , ∠ DGC = 50° and ∠ EGF = 2x. We're asked to find out m ∠ EGF.

Note that ∠ AGB , ∠ BGC and ∠ DGC form a straight line which means that their sum is equal to 180°.

When two lines intersect , the angles formed opposite to each other are called verticall opposite angles. Vertically opposite angle are always equal to each other.

[tex] \large{ \tt{❈ \: SOLUTION}} : [/tex]

Re-read the second point which I have mentioned above. Now , Set up an equation and solve for ∠ BGC .

[tex] \large{ \tt{{ ♡ \: \angle \: AGB + \angle \: BGC \: + \angle \: DGC = 180 \degree}}}[/tex] [ Sum of angle in a straight line ]

[tex] \large{ \tt{⟶ \: 30 \degree + m \angle \:BGC \: + \: 50 \degree = 180 \degree}}[/tex]

[tex] \large{ \tt{⟶ \: m \angle \: BGC + 80 \degree = 180 \degree}}[/tex]

[tex] \large{ \tt{⟶ \: m \angle \:BGC= 180 \degree - 80 \degree}}[/tex]

[tex] \large {\tt{⟶ \: m \angle \: BGC = 100 \degree}}[/tex]

Hence , m ∠ BGC = 100°. Now , Re-read the third point which I have mentioned above and set up an equation and solve for x.

[tex] \large{ \tt{❊ \: 2x = 100 \degree}}[/tex] [ being vertically opposite angles ]

[tex] \large{ \tt{⇢\frac{2x}{2} = \frac{100 \degree}{2} }}[/tex]

[tex] \large{ \tt{⇢ \: x = 50 \degree}}[/tex]

The value of x is 50°. Now :

[tex] \large{ \tt{❁ \: REPLACING \: VALUE : }}[/tex]

[tex] \large{ \tt{ ➝ \: \angle \: EGF = 2x \degree = 2 \times 50 = \boxed{ \tt{100 \degree}}}}[/tex]

[tex] \boxed{ \boxed{ \large{ \tt{☄ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{100 \degree}}}}}}[/tex]

Hence , Our final answer is 100° . And we're done!

[tex] \large{ \mathfrak{\# \: StayInAndExplore !\:☂ }}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

100°

Step-by-step explanation:

Since ∠AD are 180°, and each side is the same,

180°-30°-50°=100°

Please Help me with Q3!!

Answers

Try your best work hard
try your best!! work super hard

Identify each statement that is both biconditional and true.

Answers

Answer:

I think it's A and D

It’s gotta be A and D

The Venn diagram shows the memberships for the Spanish Club and the Math Club.
Use the diagram to answer the questions below.

Answers

Answer:

A. 6 B. 2 C. 1

Step-by-step explanation:

For A, we can count how many people are on the left said and in the middle, since David is in both clubs. For B, we can only count the right side because it says "...are in the math club BUT NOT IN THE SPANISH CLUB." For C, We can only count the middle, which is only David.

Answer:

A)6 B)2 C)1

Step-by-step explanation:

For A: There are 6 students because 5 are originally in the Spanish club, while 1 is in both clubs. This still means David is in the Spanish club so there are 6 students.

For B: There are 2 students because the condition is that, only students in the Math club are counted. In this scenario, David doesn't count because he is part of both clubs. So only Isabel and Carmen count, which means there are only 2 people.

For C: There is 1 student because the condition is that, only the students in both clubs count. The place where the two circles overlap will hold the student who is in both clubs. In that area, there is only David, making it so there is one 1 student.

When r+s=13 and 2t+s=13 , what is the value of t?

Answers

Answer:

t = 5

Step-by-step explanation:

by using guess and check, we can plug in the numbers 5 into t, 3 into s, and 10 into r.

if t = 5, then r must mean twice that number meaning it is 10.

the remainder would be s which means it is 3.

r+s=13 into 10 + 3 = 13

2t+s=13 into 2(5) + 3 = 13

question: r + s = 13 and 2t + s = 13
what is the value of t

t = 5
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