Check the picture below.
Notice it's simply a 5x4 rectangle, and surely you know how to get its area.
The ratio of the number of cups of yellow paint to the number of cups of blue paint that Greg mixed to make a shade of green paint is 2:1.
Part A: Write a sentence to describe the number of cups of yellow paint that Greg mixed with each cup of blue paint. (4 points)
Part B: How many cups of blue paint should Greg add to each cup of yellow paint to make the shade of green? Explain your reasoning. (4 points)
Part C: If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint? (2 points)
(GIVING 15 points)
Answer:
Part A: A ratio of 2:1 means that he uses 2 cups of yellow paint for each cup of blue paint.
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Part B: The ratio of yellow to blue is 2:1 = 2/1. So, if for 2 yellow is 1 blue, then for 1 yellow is x:
2/1 = 1/x
x = (1*1) / 2
x = 1/2
For each cup of yellow paint, Greg should add 1/2 cup of blue paint.
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Part C: 6 cups cost $54, then 1 cup cost:
54 / 6 = 9
The price per cup of yellow paint is $9.
A. The number of cups of yellow paint that Greg mixed with each cup of blue paint is (1/2) cup.
B. Greg should add 2 cups of blue paint to each cup of yellow paint.
C. The unit price of per cup of yellow paint is 9 dollars.
What is the ratio?The ratio compares similar quantities in simplest form.
Given that the ratio of the number of cups of yellow paint to the no. of cups of blue paint to make a green shade paint is 2:1.
This can also be written as
(yellow paint/blue paint) = (2/1).
∴ 1 cup of yellow paint and 2 cups of blue paint is required to make a green shade of paint.
A. The number of cups of yellow paint that Greg mixed with each cup of blue paint is (1/2) cup.
B. Greg should add 2 cups of blue paint to each cup of yellow paint.
C. The unit price of per cup of yellow paint is (54/6) = 9 dollars.
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can you guys do 2 and 4 for me solve for x
Answer:
2) DE = 25
4) LN = 27
Solve for x:
[tex]x=17[/tex]
Step-by-step explanation:
2) [tex]41-16=25[/tex]
4) [tex]x+10 = 3x-24; x=17[/tex]; [tex](17)+1=18; 18+9 = LN; LN=27[/tex]
Tip:
DE + EF = DF
LM + MN = LN
May I please receive help?
Hi there!
We know that:
m∠WXZ = 112°
Since m∠1 is 48° greater than m∠2, we can write an expression:
m∠2 = x°
m∠1 = (x + 48)°
Since both angles sum up to m∠WXZ, we can write this as:
112° = x° + (x + 48)°
Solve for x:
112 = 2x + 48
64 = 2x
x = 32°
I need it ASAP.
The sum of three numbers is 95. The second number is 7 more than the first. The third number is 4 times the second. What are the numbers?
Answer:
I think the answer is 2,660 i am not really sure but that's my answer sorry if i got it wrong
15. Matthew and some friends are going to a concert. They hire a car service for $60 to
drive them to a restaurant for dinner and then to the concert. They divide the $75 cost
of the dinner equally. However, since Matthew's dad provided concert tickets for the
group, the friends agree that Matthew doesn't have to help pay for the car service.
The friends divide this cost equally among themselves. If each friend spends a total of
$30, how many friends went to the concert with Matthew?
A4
B5
C6
D7
Answer:
7
Step-by-step explanation:
i got it correct on my test
what is 3 to the power of -4 as a fraction?
1. MATH CONNECTION: If a person were walking at the average speed of 2.5 mph from District 12 to District 13 and it takes a week to get there, how fast is the hovercraft traveling from District 12 to 13, which makes it there in 45 minutes?
Answer:
560 mph
Step-by-step explanation:
2.5(24 * 7) = 420 miles
420 miles = 45h
h = 420miles / ( 45 * 60)
420/0.75 = 560 mph
Three increased by twice a number is at least -7. Write the inequality and then try to solve it!
Answer:
Inequality: 3+2n≥-7
Solve for n: n≥-5
Step-by-step explanation:
3+2n≥-7
2n≥-10
n≥-5
which qoutients are equivalent to -2/3?
Indira is climbing and starts at 182.5 meters above sea level each hour she descends 36.5 meters the table shows the function relating in inDara‘s height to the number of hours she mountain climbing
The function relating in indira‘s height to the number of hours she mountain climbing is: y = -36.5x + 182.5
A linear equation is given by:
y = mx + b;
where m is the slope(rate of change), b is the initial value of y, y is the dependent variable and x is the independent variable.
Let x represent the number of hours spent climbing the mountain and y represent the distance above see level.
She starts at 182.5 meters above sea level, hence; b = 182.5 meters
She descends 36.5 meters each hour, hence m = -36.5 meter per hour
Therefore the equation becomes:
y = -36.5x + 182.5
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Which of the following is equivalent to 2/5 x 3/8?
A. 3/8 / 2/5
B. 2/5 / 3/8
C. 2/5 / 8/3
D. 5/2 / 8/3
answer these two pls
1. Ivy wants to earn at least $800 this week in commission. What is the minimum amount she needs to sell in order to earn $800 if she earns a 6.25% commission on everything she sells? Round your answer to the nearest dollar if necessary.
2.Tim’s savings account pays a simple annual interest rate of 3.5%. Suppose he deposits $5,500 in the account and makes no additional deposits or withdrawals for 5 years. What will the total value of the account be after 5 years?
Answer:
1.) $12,800: 800÷0.0625=12,800
2.)$6,311.37: 5500×(0.035(5))
2/7 divided by 6
Plz I need help and fast
WHICH NUMBER LINE MODEL REPRESENTS THE EXPRESSION: 2.5 + 4.5?
A)
B)
C)
The playing area of a board game is a rectangle with
the length of 14 inches and a width of 20 inches.
What is the area of the board game?
Write the slope-intercept form of the line with a slope of 2 and a
y
-intercept of -4. Include your work in your final answer. Type your answer in the box provided to submit your solution.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept. y=2x-4 is the slope-intercept form of the line with a slope of 2 and a y-intercept of -4.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope intercept form of a line is y=mx+b,
where m is slope and b is the y intercept.
slope-intercept form of the line with a slope of 2 and a y intercept of -4.
m=2 and b=-4
Substitute the m and b value in slope intercept form.
y=2x-4.
Hence y=2x-4 is the slope-intercept form of the line with a slope of 2 and a y-intercept of -4.
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Help how to do it because this is hard
the water slide is 6 feet tall and the end of the slide is 9 feet from the base of the ladder about what slope does the slide have?
The slope of an object is the ratio of the rise to the run. It measures the degree of steepness of an object or a projection. Hence. The slope of the slide is 1.5
Height of water slide = 9 feetsHorizontal length = 6 feetsSlope = Rise / Run
From the question ;
Height of water slide = Rise Horizontal length = RunHence,
Slope = 9 / 6 = 3/2 = 1.5
Therefore, the slope of the water slope ls 1.5.
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Simplify 4(12x−14y+3)
Answer:
48x - 56y +12
Step-by-step explanation:
Use the distributive property to simplify
(multiply each number in the parenthesis by 4)
4(12x−14y+3)
(4 * 12x)+ (4 * -14y) + (4*3)
48x - 56y +12
hope this helps :)
please crown me brainliest!!!
Sian invests £7000 for 3 years at 4% per annum compound interest. Find the compound interest earned in the 3 years.
Answer:
840.
Step-by-step explanation:
4%of £7000=£280
£280 x 3(years)=£840
Write each ratio in the simplest form. (Note: remember the units of measurement, they must be the same!)
a. 30 in to 1 ft
b. 2 in to 2 ft
c. 20 days to 2 weeks
d. 10 ft to 20 yards
e. 5 hours to 10 min
f. 10 seconds to 5 min
PLEASE HELP THIS DUE TOMORROW
Answer:
a. 5:2
Step-by-step explanation:
1 ft = 12 in
30:12
Divide by 6
30÷6=5
12÷6=2
So, the answer is 5:2
Yesterday the children at Deion’s preschool chose to pursue various play with stuffed animals 15, read books 2, paint 1, play math game 1, Based on past data, if 24 preschoolers are at school today, how many should you expect to read books?
Based on past data, we can expect that 2 preschoolers will be reading books today out of the total of 24 preschoolers present. we can apply this ratio to the total number of preschoolers present today.
To determine the expected number of preschoolers who should be reading books today, we can use the ratio of the number of preschoolers who chose to read books yesterday to the total number of preschoolers present yesterday.
Yesterday, there were 24 preschoolers present, and 2 of them chose to read books. Therefore, the ratio of preschoolers reading books to the total number of preschoolers yesterday is:
2 / 24
To find the expected number of preschoolers reading books today, we can multiply this ratio by the total number of preschoolers present today (which is 24):
(2 / 24) * 24
Simplifying this expression, we find:
2
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For g(x) = −4x, find g(x) when x = −6 and when x = 2.
answer;
when x=-6
g=4
when x=2
g = 4
Step-by-step explanation
every where you see x put -6 there
g(-6)=4(-6)
-6g=-24
-6g/-6=-24/-6
g=4
when x= 2
anywhere you see x put 2 there
g(2)=4(2)
2g=8
2g/2=8/2
g=4
what happens with the reflection about the y-axis
Answer:
the x-value becomes negated
Step-by-step explanation:
(x,y) -> (-x,y)
x + 5 ≤ 13
PLEASE help!!!!
Answer:
x ≤ 8
Step-by-step explanation:
x + 5 ≤ 13
x ≤ 13 - 5
x ≤ 8
Feel free to mark this as brainliest! :D
Answer:
x ≤ 8
Step-by-step explanation:
x + 5 ≤ 13 (subtract 5 from both sides)
x ≤ 8
solve the following equation
3z + 14 = 5z - 18
solve the following equation
3z + 14 = 5z - 18
Solution:-3z + 14 = 5z - 183z = 5z - 18 - 143z - 5z = - 18 - 14-2z = -32z = -32/-2z = 16Answer:-[tex] \\ \tt \: Thus, \: { \boxed{ \tt{z = 16}}}[/tex]
Please help. Geometry!
HELP
Rewrite the word problem as an expression that requires the order of operations:Quinn has 2 bags. Each bag has 4 apples and 5 oranges. He wants to split up all the fruits into 3 baskets.
Answer:
2×(4 +5)÷3 ..am I correct?
Ceci can drive 225 miles in 3 hours. How many hours does it take her to drive 1125 miles?
Answer:
15 miles
Step-by-step explanation:
First we divide 1125 by 225 to get the ratio of the two distances. We can see that 1125 goes into 225 exactly 5 times. Then we do 5 times 3 to get 15.
Write a formula that shows the dependent of the mass of a piece of cork on its volume note the density of the cork is 0.18 g/cm^3. Then use the formula to find the answer.
The volume of a piece of cork with a mass of 64.8g
Answer:
43.2 grams
Step-by-step explanation:
We will use density formula to solve our given problem:
he mass of a piece of cork with a volume of 240 cm³ is 43.2grams
The formula for calculating the density of a substance with mass "m" and volume "v" is expressed as:
m is the mass of the substance
v is the volume of the substance
Given the following parameters
Density = 0.18g/cm³
Volume = 240cm³
Substitute the parameters into the formula to get the mass: