Let x = pounds of $12 per pound coffee
then
20-x = pounds of $9 per pound coffee
.
12x + 9(20-x) = 10(20)
12x + 180 - 9x = 200
3x + 180 = 200
3x = 20
x = 20/3
x = 6 and 2/3 pounds of $12 per pound coffee
.
Amount of $9 per pound coffee:
20-x = 20-20/3 = 60/3 - 20/3 = 40/3
or
13 and 1/3 pounds of $9 per pound coffee
an alligator can run 17.5 miles in 30 minutes. at this rate, how far could they go in 2 hours.
Please help asap! I'll give brainly!
Answer:
for the first one the answer is 75, for the second one its they are not proportional,
Step-by-step explanation:
IM not sure if its correct sorry:)
Mindy planted 32 bulbs in her garden for a spring project. Each bulb cost $2.30. She used x bags
of potting soil while planting the bulbs. Each bag of potting soil cost $5.45. Write an expression to
show how much money Mindy spent on her spring project.
Compare the dimensions of the prisms. How many times greater is the surface area of the green prism than the surface area of the blue prism?
the green prism has a height of 25 cm, a depth of 5 cm, and a length of 10 cm
the blue prism has a height of 10 cm, a depth of 2 cm, and a length of 3 cm
PLEASE HELP!!
Comparing the dimensions of the prisms, the number of times in which the surface area of the green prism is greater than the surface area of the blue prism is 7.59
Surface area of a prismThe formula for the surface area of a prism is SA=2B+ph, where B, again, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.
Area of the base of prism = lw
Perimeter of the base of a prism = 2(l+w)
Surface area of the green prism
height of 25 cm, a depth of 5 cm, and a length of 10 cm
Area of the base of prism = lw = 10cm × 5cm = 50cm²
Perimeter of the base of a prism = 2(l+w) = 2(10+5) = 30cm².
SA=2B+ph
= 2 ( 50) + 30 × 25 = 100+750= 850cm²
Surface area of the blue prism
height of 10 cm, a depth of 2cm, and a length of 3cm
Area of the base of prism = lw = 3cm × 2cm = 6cm²
Perimeter of the base of a prism = 2(l+w) = 2(3+2) = 10cm².
SA=2B+ph = 2(6) + 10 × 10 = 112cm²
The number of times green prism is greater than blue prism = 850cm²/112cm² = 7.59
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The cost of every college is expected to increase 3.5% next year. Write an equation that will help calculate the cost of other colleges next year. Use t to represent this year's cost and n
to represent next year's cost.
Answer:
n=t+t0.035
Step-by-step explanation:
If this year's cost is t, and next year's is n, and the difference between them is 3.5/100, so it is t, this year's cost, plus 0.035 of t, that is next years cost, n.
Answer: n=103.5t
Step-by-step explanation:
I don't have a step-by-step explanation but I hope this helps! :)
Consider the situations in the table below
Situation A: A hang glider descended 33.57 feet, and then ascended 14.98 feet.
Situation B: A football team gained 7 2/5 yards in one play, and then lost 3/5 of a yard in the next play.
Situation C: A hiker walked 3 1/6 miles yesterday and 2 1/2 miles today.
Situation D: A worker earned $23.66 Monday and spent $15.84 Tuesday.
Calculate the sum of each situation. Order the situations from least to greatest based on the numeric value of the sums.
Answer:
Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet
Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.
7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.
Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.
Situation D: Total amount earned is $23.66 + $15.84 = $39.5.
Answer:
Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet
Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.
7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.
Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.
Situation D: Total amount earned is $23.66 + $15.84 = $39.5.
Step-by-step explanation:
A bus travels one and one half miles to a bus stop 4 times. How many miles in all has the bus traveled?
Group of answer choices
4 mi
5 mi
6 mi
7 mi
Please help!!! I'm stuck on this :(
Find 3 consecutive integers such that if you subtracted twice the smallest from 212 more than the largest you get 147.
I figured out an equation for this and simplified it (z + 212 - 2x = 147 to z = -65 + 2x), but I can't figure out what to do next. Help would be SO appreciated! Thanks!
P.S. I realized I put it as a middle school problem but I'm actually taking a freshman-level class (Algebra 1). I'm in 8th grade. Sorry!
Answer: Im not completely sure this is going to help but this is what ive got from the information you gave
Step-by-step explanation;
Answer: The three consecutive numbers are; 14,15,and16.
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
WILL MARK BIANLEAST PLZ PLZ PLZ I REALLIY NEED THIS ASAP
Paula keeps track of her heart rate after her workout and graphs her heart rate each week. According to the scatter plot, which number is an estimate of her heart rate after her workout in week 5?
120 beats per minute
110 beats per minute
130 beats per minute
100 beats per minute
Answer: 120 beats per minute
Step-by-step explanation:
If you look at the plotted points on the graph, you can see that the rate is decreasing at a constant rate. As each week passes, the beats per minute rate drops by 10 beats. Therefore on Week 5, the heart rate will be 120 beats per minute.
Can someone help me and tell me what this is I dont get it
Answer:
of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one
so:
a greater
b greater
c less
D greater
e equal
f less
g equal
Answers in bold:
P to Q: greater than 1P to R: greater than 1Q to S: less than 1Q to R: greater than 1S to P: equal to 1R to P: less than 1P to S: equal to 1========================================================
Explanation:
We have these three rules for scale factors
scale factor > 1, enlarge the image0 < scale factor < 1, shrink the imagescale factor = 1, the preimage and image are identicalWith those rules in mind, we have enlargements for these transformations.
P to QP to RQ to RAll of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.
In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.
----------------
We also have these reductions
Q to SR to PThis is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.
----------------
And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.
P to SS to PThe order doesn't matter for this subset, but the order will matter for the other batches of transformations.
Whats the Length of XY
A. 5 units
B. 4 units
C. 3 units
D. 2 units
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plsssssssssssssssss
Someone answer these
Answer: I’ll ask my sis because she is in 10th
Step-by-step explanation:
What is the reciprocal of 1 2/7 ?
Answer:
7/9
Step-by-step explanation:
Change it to an improper fraction. So 7 times 1 plus 2. Which would be 9/7. The reciprocal is just flipping the numerator and denominator.
Answer:
7/9
Step-by-step explanation:
improper fraction of 1 2/7 is 9/7 . reciprocal is when flip both numbers so it would now be 7/9.
A cul-de-sac in town has four houses. Each house has four sides. Each side has four windows. Each window has four sections. Each section has four raindrops on it. Use the power to represent the total number of raindrops.
Lexxi Williams buys cat food for her cat, Miles, each week. It cost $5.27 per bag. How much would it cost her to buy cat food for a year? (Hint: there are 52 weeks in a year).
Step-by-step explanation: 52x5.27 = 274.04
BYEEEEEEEEEE
Which graph shows the image being rotated 90°?
Answer:
its A
Step-by-step
C is just a trick one
b can be cancelled cuz it does tot go in the ll quadrant
and D can be cancelled cuz its like a 20 degree turn
Question 2(Multiple Choice Worth 2 points)
(Experimental Probability MC)
In a repeated experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 10 is 3 over 36. Predict how many times the rolls will result in a sum greater than 10 if the experiment is repeated 108 times.
3
9
10
18
9 the rolls will result in a sum greater than 10 if the experiment is repeated 108 times.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
The theoretical probability of both rolls equaling a sum greater than 10 is 3 over 36.
As, Expected number of outcomes = theoretical probability * number of trials
Expected number of outcomes = 3/36 x 108
= 9
Thus, the required value is 9.
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i need help with these two questions..:) please help!
15 points!!!!!!
Answer:
For the first one it would be E.
Step-by-step explanation:
Answer:
7: A, B, E
8: D
Step-by-step explanation:
for 7:
all i did was make a mental picture and solve after that
for 8:
this is simple. make a circle graph, with radii 6, and plot the points. If they are on the edges of the circle, they are 6 units away from origin. ive attached an image of this lol
In a garden, 2/3 of the flowers are roses. Of the roses in the garden, 5/12 are yellow and the rest are red. What fraction of the flowers are red roses?
PLEASE HELP, WILL GIVE BRAINLIEST!!
The table shows the location of different animals compared to sea level. Determine if each statement is True or False.
The distance between the fish and
the dolphin is |–3812 – (–8414)| = 4534 feet.
True or False?
The distance between the shark
and the dolphin is |–145 – 8414| = 22934 feet.
True or False?
The distance between the fish and
the bird is |1834 – (–3812)| = 5714 feet.
True or False?
The distance between the shark
and the bird is |1834 – 145| = 12634 feet.
True or False?
Answer:
Fish and Dolphin: False 4602 ft
Shark and dolphin: false 8559 ft
Fish and bird: false 1689 ft
Shark and bird: false 1689 ft
Step-by-step explanation:
just did this question on a quiz .
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
QUICK! Find the area of the smallest square in the diagram.
A) 25 square feet
B) 5 square feet
C) 313 square feet
D) 13 square feet
Answer:
313 square feet
Step-by-step explanation:
313 square feet
Answer:
A) 25
Step-by-step explanation:
sides of top square are all 13 and sides of bottom square are all 12
we now have the hypotenuse (13) and another side length of the triangle (12) using a^2+b^2=c^2 we can find the side of the square then its area.
144+b^2=169
b^2=25
b=5, which means the smallest square's sides are all 5 making it have an area of 25
The graphs show the distances traveled by two cars moving at constant rates.
Drag to the table the unit rate that matches each graph.
Answer:
doodey
Step-by-step explanation:
Simplify each expression involving signed numbers.
-7 – 2 =
12 + (-4) =
-8(-6) =
18/-3=
Answer:
-5 , 8 , 48 , -6
Step-by-step explanation:
-7- -2 = -5
This complies with the rule that 2 negatives make a positive.
12 + (-4) = 8
You just ignore the brackets.
-8(-6) = 48
The -8 next to the bracket with no symbol means you need to multiply, and again 2 negatives make a positive.
18/-3 = -6
As the 18 is not negative, but -3 is, the answer is also a negative because one negative and one positive make a negative!
Hope this helps and have a good day!
-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)
Answer:
Option #4
Step-by-step explanation:
Expand option #4
=-3(1-2x)
=-3 -2x*-3
=-3+6x which is what your original equation was.
4 painters can paint a room in 6 hours how long will it take 3 painters to paint the same room
Answer:
the answer is that it will take 3 panters 3.5 hours to pant that room
Step-by-step explanation:
The number of hours taken by the painter to paint the room will be 4.5 hours .
Given,
4 painters can paint a room in 6 hours .
Now according to the method of unitary,
If 4 painters can paint the room in 6 hours ,
Then
1 painter will paint the room in
6/4 hours
= 3/2 hours .
Now the number of painters are 3
So if 1 painter paints the room in 3/2 hours then,
3 painters will paint the room in
3*3/2
= 4.5 hours
Thus the number of hours required are 4.5 hours .
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What is the value of
Answer: option 1
Step-by-step explanation:
Answer:
1. Is the correct one.
Step-by-step explanation:
Pls help! Will give brainliest!!
Considering area (A) of garden as 30 square feet:
30 = x(2x+7)
Now we need to expand it:
x(2x+7) = 2x^2 + 7x
2x^2 + 7x = 30
Adding this into an Algebra calculator gives us 5/2 or 2.5
So x = 2.5
To prove this:
2(2.5) + 7 = 12
14 * 2.5 = 30