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)
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! :)
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:
https://brainly.com/question/29781084
#SPJ2
A 1-inch length in the scale drawing below corresponds to a length of 12 feet in the actual room.
Answer: Im going to say 3 over 5 and 8
Step-by-step explanation:
It takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined?
Answer:
49
Step-by-step explanation:
35/5=7
7x7=49 seconds
Answer:
It would be 49 seconds
Step-by-step explanation:
Help! Suppose the length and width of the box double. Does the surface area S double? Complete the explanation.
Answer:
it all equal
Step-by-step explanation:
Find the missing number based on the description below:
"12 less than 7 times a number is the same as 32 less than the product of -3−3 and the number"
1. -5
2. 10
3. -2
4. -1
Sergei wants to prove that Triangle A B C is similar to Triangle F G H.
On a coordinate plane, triangle A B C has points (1, 1), (3, 3), (3, 1). Triangle F G H has points (4, 4), (12, 12), (12, 4).
Which would help him prove that? Check all that apply.
Measure angles A and F to show they are congruent.
Measure angles F and G to show they are congruent.
Use the right angle marks to show that angles C and H are congruent.
Use the grid or a ruler to show that A B = F G, B C = F G, and A C = F H.
Use the grid or a ruler to show that StartFraction F G Over A B EndFraction = StartFraction G H Over B C EndFraction = StartFraction F H Over A C EndFraction.
Answer:
Step-by-step explanation:Option (A) and (E) are correct.
We can prove ΔABC and ΔFGH are similar by AA criterion or by showing that the ratio of corresponding sides are equal.
Step-by-step explanation:
Given : two triangles, ΔABC and ΔFGH and we need to prove both are similar to each other.
We have to choose the correct options from the given choices.
Two triangles are said to be similar if their the corresponding sides are in proportion and the corresponding angles are congruent to each other.
that is
also measure ∠A and ∠F to show they are congruent as ∠H= ∠C = 90°
This can be observed by looking at the image . So when both triangle are congruent we an show by AA similarity criterion that ΔABC and ΔFGH are similar.
Thus, option (A) and (E) are correct.
We can prove ΔABC and ΔFGH are similar by AA criterion or by showing that the ratio of corresponding sides are equal.
Answer:
a. c. e.
Step-by-step explanation:
edge 2023
Mr. Smith opened a retirement account with a deposit of $900. This account earns 5% simple interest annually. How many years will it take for his $900 deposit to earn $360 interest?
Please help look at the pined icon.
Answer:
30%
Step-by-step explanation:
\(\frac{3}{10}\) of the shape is shaded.
3/10 = 0.3 0.3 * 100 = 30
so 3/10 is 30% as a percentage.
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
please hurry it's homework
Make a the subject of the formula:
a/5=12b
Answer: a = 60b
Step-by-step explanation: simplifying both sides of the equation, then isolating the variable. So 60 divided by 5 = 12
60a/5 = 12b
Is there anybody that is in 8th grade that does edge?
Mr. Torres spent $40.00 to buy 18 pounds of ground beef and chicken for a family to cook out. If the price of ground beef was $4.00 per pound and the chicken was $2.00 per pound, how many pounds of each did he buy?
Answer:
They bought 2 pounds of ground beef and 16 pounds of ground chicken.
Step-by-step explanation:
Let b be the beef, and c be the chicken:
b + c = 18, the pounds of beef and the pounds of chicken added equal 18 pounds
4b + 2c = 40, the beef costs 4 dollars per pound and the chicken costs 2 dollars per pound. They add up to 40 dollars total.
Use the equation b + c = 18 and subtract c from both sides to get b = 18 - c. We replace this equation with b in 4b + 2c = 40 to get 4(18 - c) + 2c = 40 because b is 18 - c.
Now we solve for c:
4(18 - c) + 2c = 40
Simplify:
72 - 4c + 2c = 40
Combine Like Terms:
72 - 2c = 40
subtract 72 from both sides:
-2c = -32
Divide Both Sides by 2:
-c = -16
Make the Equation Positive:
c = 16
Okay cool, now we know that they bought 16 pounds of chicken, to find out how much beef the bought, replace c by 16 in b + c = 18 to get b + 16 = 18
b + 16 = 18
Subtract 16 from both sides:
b = 2, they bought 2 pounds of beef
To check, replace c with 16 and b with 2 in 4b + 2c = 40 to get
4(2) + 2(16) = 40
Multiply:
8 + 32 = 40
40 = 40
The equation is true
Sam wants to predict who will be selected as the seventh-grade student council representative. Which of the following groups should Sam survey to make his prediction?
One hundred random students from the seventh grade
One hundred random students from the entire school
The first 100 students from an alphabetical list of seventh graders
The first 100 students from an alphabetical list of the entire school
Answer:
a
Step-by-step explanation:
Answer: A would be your best answer
Step-by-step explanation:
I CANT DO MATH HELPPPP-
\(25 \div 5 + 7 - (4 \times 3) = \)
\( = 25 \div 5 + 7 - 12\)
\( = 5 + 7 - 12\)
\(12 - 12 = 0 \: ans\)
I WILL GIVE THE BRAINLIEST!
pls, I am in such a hurry can you help me solve the sum below? Please could you show the method also so I can finish the other sums? THANK YOU!
50!!!
You must do
60/1.2=50
X*1.2=60
=60/1.2
=50
You are buying fruit to make fruit baskets. Apples come in bags of 20. Oranges come in bags of 16 and bananas come in bags of 32.
1. You have one bag of each fruit. Each fruit basket must be identical.
a. What is the greatest number of fruit baskets that you can make using all of the fruit?
b. How many of each type of fruit are in each fruit basket in part (a)?
2. You decide that not only must the fruit baskets be identical, but each one must have the same numbers of apples, oranges, and bananas.
a. What is the least number of bags of each fruit you need to have the same number of apples, oranges, and bananas? I
b. How many of each type of fruit do you have?
c. There must be at least 5 but no more than 10 of each type of fruit in each basket.
How many different ways can you arrange the fruit baskets when using all of the fruit? Explain your reasoning.
Answer:
4 fruit baskets.
Step-by-step explanation:
Use GCF to find the answer. 20 divided by 4 is 5, 16 divided by 4 is 4, and 32 divided by 4 is 8.
Mandissa and Katelynn each make a pitcher of strawberry lemonade. Mandissa wants her drink to be more strawberry flavored with less lemon. She uses 2 1/4 times as many strawberries as Katelynn uses, and 2/3 the amount of lemons. If Katelynn uses 1/3 cup of strawberries and 6 lemons to make her pitcher of lemonade, how many strawberries and lemons will Mandissa use?
A:) 3 cups of strawberries and 6 2/3 lemons
B:) 1 11/16 cups of strawberries and 4 lemons
C:) 3 cups of strawberries and 4 lemons
D:) 1 11/16 cups of strawberries and 6 2/3 lemons
Answer:
B:) 1 11/16 cups of strawberries and 4 lemons
Step-by-step explanation:
You want to know how many cups of strawberries and how many lemons Mandissa uses in her lemonade if she uses 2 1/4 times 3/4 cups of strawberries, and 2/3 times 6 lemons.
StrawberriesMandissa's recipe has strawberries in the amount of ...
(2 1/4) × (3/4 cup) = (9/4)(3/4) cups = 27/16 cups = 1 11/16 cups
LemonsMandissa's recipe has lemons in the amount of ...
(2/3) × (6 lemons) = (2/3)(6) lemons = 4 lemons
Mandissa uses 1 11/16 cups of strawberries, and 4 lemons, matching choice B.
<95141404393>
PLEASE ASAP Find the value of x
Answer: this is in a fraction: X = 16/5, decimal form: x = 3.2, and in a mix number: x = 3 1/5
Step-by-step explanation:
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
Please Hurry. I need this answer quickly please.
Answer:63
Step-by-step explanation:
multiply 72 by 7 then divide i by 8
(72×7)/8
=63
It's 63.
simplify the equation 7/8×72 multiple 7×9 solution is 63
Consider the standard form of an exponential function:
\(y=a(b)^x\)
How does changing the base number (inside the parentheses) change your graph?
Answer:
Step-by-step explanation:
Challenge 1
We have exponential decline if 0 b 1. As you move from left to right, the curve will get less steep.
If b is greater than 1, exponential growth is present, and the curve slopes upward from left to right.
Examples include exponential decline (y = 2(0.5)x) and exponential growth (y = 2(1.2)x).
Remember that b cannot be negative.
===========================================
Challenge 2
In the general template provided, enter x = 0.
y = a(b)^x
y = a(b)^0
y = a(1) (1)
y = a
When x = 0 is plugged in, the result is y = a.
The curve is therefore on the point (0,a). The y intercept appears here. It is the point when the curve veers off the y axis. The y intercept is altered if the value of "a" is altered.
Examples:
Yasin has tried to work the size of the angle marked g in the regular decagon below, using the fact that exterior angles sum to 360°. His workings are shown below.
a) Write a sentence to explain what Yasin has done wrong.
b) What is the size of angle g? Show all your workings.
well, Yasin is correct, the exterior angles are all 36° each, however "g" is including more than just that, Check the picture below.
Answer: 36 is wrong
Step-by-step explanation: 360 - 36 = 324 degrees
5. The cost of 3 burritos is $25.50. If the cost is proportional to number of
burritos ordered, which of the following prices is NOT an equivalent rate?
Answer:
its $26.75
Step-by-step explanation:
Answer:
26.75£ The answer .
what is 0.8 x 0.8? im very confused on this, and im not very good with decimals. could someone help me?
can someone help me Asap plss
Answer:6 7 3 4 6 8
Step-by-step explanation:
Seventh grade
S.6 Solve one-step equations
Solve for u.
u + 32 = 812
u =
Answer: 780
Step-by-step explanation:
812-32=780
so u = 780
Which of these situations can be represented by the opposit
of -5? Select all that apply.
You remove 5 rose bushes from your garden.
The temperature rises 5°F.
The temperature drops 5°F.
You save $5 on a book with a coupon.
You withdraw $5 from your savings account.
The opposite of -5 is +5
Answers:
The temperature rises 5°F
You save $5 on a book with a coupon
I need help with asap!! Please answer the question in the image below
Answer:
width: 2 : 15volume: 8 : 3375surface area: 4 : 225Step-by-step explanation:
Given a model has a scale factor of 2:15 with respect to the original car, you want to know the ratios of model : original for width, volume, and surface area.
RatiosThe scale factor is the ratio of linear dimensions, such as width. This means the ratio of widths will be 2:15, the same as the scale factor.
Areas have units of the square of a linear dimension. Hence the ratio of areas is the square of the ratio of linear dimensions, the square of the scale factor. The ratio of surface areas will be 2²:15² = 4:225.
Volumes have units of the cube of a linear dimension. Hence the ratio of volumes is the cube of the ratio of linear dimensions, the cube of the scale factor. The ratio of volumes will be 2³:15³ = 8:3375.
The model : original ratios are ...
width: 2 : 15volume: 8 : 3375surface area: 4 : 225<95141404393>
help me on this one please
Answer:
It is 8g = 22 + 26
Step-by-step explanation:
I've done this before, and got this answer right. (Looks like an i-Ready math diagnostic if I'm correct.)
The equation for the Denver to Chicago situation is:
d = t. 610
in your own words, describe the equation's meaning. What does each part of the equation represent?
It should be noted that the equation for the Denver to Chicago situation is d = t. 610. This implies that the distance is 610 miles multiplied by the time taken.
How to illustrate the information?It should be noted that an equation is used to show the relationship that can be found between the data or variable that are given.
Based on the information, should be noted that the equation for the Denver to Chicago situation is d = t. 610. This implies that the distance is 610 miles multiplied by the time taken.
It should be noted that d represent the distance and t represented the time.
Learn more about equations on:
brainly.com/question/13763238
#SPJ1
If a polyhedron has 12 faces, and 20 edges, how many vertices does it have?
Answer:
It has 30 vertices.
Step-by-step explanation:
brainliest lang masaya nako