The owner of a lemonade stand mixes juice that costs 2 dollars per gallon with juice that costs 7 dollars per gallon. She gets 20 gallons of punch that costs 4 dollars per gallon. How much of each juice does she use?
Answer:
8 gallons at $7
12 gallons at $2
Step-by-step explanation:
x gallons at $7 with the remaining (20 - x) gallons at $2 to get 20 gallons at $4
x(7) + (20 - x)(2) = 20(4)
Distribute
7x + 40 - 2x = 80
Combine like terms
5x + 40 = 80
Subtract 40 from both sides
5x = 40
Divide both sides by 5
x = 8 gallons at $7
20 - x = 12 gallons at $2
To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with cups of water. Create a double number line or a table that shows different amounts of powder and water that taste the same as Noah’s mixture.
Answer:
This should help
Step-by-step explanation:
How do I do this pls help
Answer:
Might be wrong, but, Stephan bought the bike and helmet for 115.2$
Step-by-step explanation:
(might be wrong)
$307 and 2 cent i think
giving brainless out get it right
Answer:
97.5
Step-by-step explanation:
Supplementary angles always add up to 180.
180 - 82.5 = 97.5
Answer:
97.5
Step-by-step explanation:
180-82.5=97.5
Supplementary means they add up to 180 degrees.
So just subtract 82.5 from 180. You get 97.5
I want that brainliest O^O
Two school groups go to a roller skating rink. One group pays $243 for 36 admissions and 21 skate rentals. The other group pays $81 for 12 admissions and 7 skate rentals. Let x represent the cost of admission and let y represent the cost of a skate rental. Is there enough information to find values for x and y? Explain.
thxs
Answer:
No
There are infinitely many solutions to the system.
{36x+21y=24312x+7y=81
Multiply the second equation by 3.
3(12x+7y36x+21y=81)=243
Subtract this new equation from the first equation.
36x+21y−(36x+21y0+0=243=243)=0 true
There are infinitely many values of x and y are possible.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Two school groups go to a roller skating rink.
One group pays $243 for 36 admissions and 21 skate rentals.
The other group pays $81 for 12 admissions and 7 skate rentals.
Let x represent the cost of admission and let y represent the cost of a skate rental.
We have a system of equations,
36x + 21y = 243 {equation 1}
12x + 7y = 81 {equation 2}
Simplifying equation 1 we get,
36x + 21y = 243
Divide by 3,
12x + 7y = 81
That means, there are infinitely many solutions possible.
Therefore, there are infinitely many solutions possible.
To learn more about the system of equation;
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no links or i’ll report you.
Mr townsend needs to make 13 pairs of butterfly for customers for a play. Each pair of wings is made with 3/4 yard of fabric. The fabric costs $8 per yard.
You’ll apply properties of multiplication in the following steps to find the total cost of fabric.
1. Use multiplication to write an expression for the amount of fabric needed to make 13 pairs of wings.
2. Multiply the amount of fabric by the price per yard to find an expression for the total costs.
3. Use the associative and commutative properties to rearrange the terms in the expression to make it easier to calculate. Explain why the rearranged expression is easier to work with.
4. Simplify your expression to find the total costs. show your work
Answer:
1) 13*3/4
2) 9.75*8 which is $78.
3) which terms? (if you tell me i could do it?) (i dont get what 3 is asking)
4) (which expression...?)
circle terms and simplify each of the following expressions.
a. 3+1.4+(-7). b. 50+3(-10)+ 2(-20)
c. 4+(-50)+2 d. (4+(-170)) (5+4))
What does it mean by terms?
Answer:
a) 2.6 b) -20 c) -44 d) -1494
Step-by-step explanation:
Terms:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
a) 3+1.4+(-7)
3+1.4-7
Calculate.
-2.6
Terms: 3, 1.4, -7
b) 50+3(-10)+ 2(-20)
Multiply.
50-30-40
Calculate.
-20
Terms: 50, 3, -10, 2, -20
c) 4+(-50)+2
4-50+2
Calculate.
-44
Terms: 4, -50, 2
d) (4+(-170)) (5+4))
(4-170)+(5+4)
Add.
(4-170)x9
Calculate.
-166x9
Multiply.
-1494
Terms: 4, -170, 5, 4
Hope this helps :)
Answer:
b
Step-by-step explanation:
- 1/3 (4+z)=-5/6
plz will mark as brainlest
Answer: = − 3 /2
Precalculus, Matrix
Rearrange terms, Combine multiplied terms into a single fraction, distribute, Multiply all terms by the same value to eliminate fraction denominators, Multiply all terms by the same value to eliminate fraction denominators . Cancel multiplied terms that are in the denominator . Multiply the numbers . Add 4 to both sides of the equation . Simplify.
Divide both sides of the equation by the same term . Simplify
Answer:
z = -3/2
Step-by-step explanation:
Our goal here is to solve -1/3 (4+z)=-5/6 for z.
Begin by multiplying both sides by 6, to eliminate the fractions:
-2(4 + z) = -5
Isolate (4 + z) by dividing both sides by -2: 4 + z = 5/2
Finally, determine z by subtracting 4 from both sides: z = 5/2 - 8/2 = -3/2
z = -3/2
Sorry for the bad quality but Plsss help
Pls HELPPP IM CONFUSED ON THIS SINGLE QUESTIONNN PLS SHOW HOW TO SOLVE IT WITH UR ANSWER
Answer:
c it's only the closest/similar to the triangle
Answer:
Step-by-step explanation: C because it looks very similar
Hi friends! Could you help me?
"Use the least common denominator to write an equivalent fraction for each fraction."
5 4
__ __
9' 15
Answer:
1\5
Step-by-step explanation:
lcm of 9 and 15 = 45
5/45 + 4/45
= 9/45
= 1/5
evaluate 1/4 (15 + h) - g , when h=5 and g= 1
Answer:
4
Step-by-step explanation:
1/4(15+5)-1
1/4 x 20-1
1/4 x 20 = 5
5-1 = 4
Answer:
4
Step-by-step explanation:
Which equation has a solution of s = 3/4?
Answer:
the answer is that you have to follow these rules.
Step-by-step explanation:
1. Simplify each side of the equation by removing parentheses and combining like terms.
2. Use addition or subtraction to isolate the variable term on one side of the equation.
last but not least
3. Use multiplication or division to solve for the variable.
Describe the overall shape of the histogram.
Answer:How would you describe the shape of the histogram? Bell-shaped: A bell-shaped picture, shown below, usually presents a normal distribution. Bimodal: A bimodal shape, shown below, has two peaks. This shape may show that the data has come from two different systems.
Step-by-step explanation:i
Is it 1,2,6,10,14 Please explain
Answer:
Melinda adds $12 to her savings account each week and Marcus adds $14 each week
Melinda adds $2 less than Marcus
Step-by-step explanation:
Melinda:
135 - 75 = 60
60 ÷ 5 = 12
She saves $12 each week
Marcus:
y=14x+25
y=14x5+25
y= 70+25
y=95
95-25=70
70÷5= 14
Marcus saves $14 each week
Convert 45 dollars earned in 3 hours to a unit rate. Write your answer using the $ sign and the word "per".
Marcus has earned 353 out of 400 points (88% or B+) in Math class. He needs 90% to earn an A-. There is one test left worth 100 points. How many points does Marcus need on the test to raise his grade to an A-?
Answer:
97
Step-by-step explanation:
Marcus is aiming for an A- (90-94 percent). The question states that there is another test awaiting that is worth 100 points. In order to find the answer to the question, you need to:
1.) Add 400 + 100, to show how many points there are in total.
2.) Use the answer choices and add it to 353.
88 + 353 = 441
93 + 353 = 446
97 + 353 = 450
3.) Find the percentage of the sums.
441/500 = 88%
446/500 = 89%
450/500 = 90%
Since Marcus is aiming for an A-, we can conclude that obtaining 97 points will help Marcus achieve an A-.
Which value is FURTHEST from 0 on the number line?
20
-21
|20.5|
|-21.5|
|-21.5|
it doesn't matter which direction because its just furthest from 0 so you just need to find the highest number and you can ignore any negative signs
The area of the triangle is less than 18 square inches. Select an inequality that represents a
Answer:
(1/2)(6)(a) < 18
Step-by-step explanation:
We know the formula for the area of a triangle is 1/2 b x h
The base is 6in and the height is a, so the equation is 1/2 6 x a.
The area is less than 18 sq in, so 1/2 x 6 x a < 18
Now, let's solve the inequality.
1/2 6 x a < 18
3 x a < 18
a < 6
Hope this helps :)
Help Me Please With This
Answer:
Step-by-step explanation:
Answer:
The chart is adding by 3
Step-by-step explanation:
She is getting payed $21 for every 5 weeks
So every time she gets payed it adds 3
Haley and Sabrina are both training for a race. Haley runs 4.2 miles each day. Sabrina has been running 2/3 as many miles each day as Haley. Next week, Sabrina is going to increase the miles she runs each day by 25%. Haley and Sabrina both train by running 6 days each week. What is the total number of miles Sabrina will run next week to train for the race?
Answer:
Sabrina will train 21 miles next week for the race.
Step-by-step explanation:
2/3 of 4.2=2.8
%25 more of 2.8=3.5
3.5*6=21 miles
Answer:
3.5*6=21 miles
Step-by-step explanation:
please help. I'll give you extra points.
Answer:
See below
Step-by-step explanation:
Part A: For the current year, we notice that the price of corn is directly proportional to the number of bushels at a rate of $8 per bushel. We know this because 2 bushels * $8 = $16, 4 bushels * $8 = $32, and so on.
Part B: The rate for the previous year is $6 per bushel, so the current year rate is $2 more than the rate for the previous year
in real life how is slope-intercept form used
Real-life applications of slope inculde roofs, roads, handicap ramps, funiculars, cable cars, mountains for skiing, downhill cycling, and snowboarding/dirtboarding, roller coasters, skate ramps, and BMX jumps.
big ideas math homework
Answer:
126.5
Step-by-step explanation:
first, break the figure into a triangle and a square (do I have to tell u where)
the square: 11*8=88
the triangle: 11*7=77 77/2= 38.5
88+38.5= 126.5
The solution is, the area of the given figure is : 126.5cm^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
given that,
we need to find the area of the given figure.
so, we have ,
first, break the figure into a triangle and a square
now, we get,
the square:
area= 11*8
=88
and, we have,
the triangle:
area =1/2* 11*7
=1/2*77
= 77/2
= 38.5
so, we get,
the area of the given figure is:
88+38.5= 126.5
Hence, The solution is, the area of the given figure is : 126.5cm^2.
To learn more on Area click:
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Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet tall, but its length is unknown.
Each section will be a different color, so they need to know the area of each section.
so , i said 5/10x area = length * width A=10*x a= 10x
then i said you should divide , next i said 10x/5 10x in five sections is 2 in each q1 said area 10*x but x=2 so 10*2=20 is this correct?
HELPPPPPPPPPPPPPPPPPPPPPPPPP ASAPPPPPPPPPPPPP
Martha's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 55 3/4 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 364 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box.
Answer: 65 7/12
Step-by-step explanation: I took the test
Answer:
the answer is 65 7/12
Step-by-step explanation:
took the k12 quiz
hope this helps :D
quiz name: 5.18 Quiz: Model the Real World with Multistep Equations
Write the equation of the line in the graph in POINT-SLOPE form.
Answer: y= -8/4x+2
Step-by-step explanation:
find our y-intercept and slope
(rise over run to find your slope)
the two points it provides are what you will use to find the slope
see how for you run from point A to B then your rise as well
it should be rise=-8 run=4
0,2 is your y-intercept
now use your equation y= mx+b
b=your y-intercept and mx= your slope
plug the numbers in and you will get the answer
write a summary about what happened in chapter 6 in mayflower treasure hunt
Answer:
This is not math
Step-by-step explanation: well its kinda obvious...
While eating lunch, Vivian ate 65% of the carrots she had in her bag. There were 20 carrots in her bag before she ate any. How many carrots did Vivian have left in her bag after she ate?
Answer:
Vivian would have 7 carrots left to spare if she ate 65% of the carrots in the bag.
Step-by-step explanation: Since 65% of 20 carrots equals 13 carrots, we would do 20 - 13. In which equals 7 so she has 7 carrots left in fer bag
Equation: 20-x=?
Solution: 20 - 13=7
If I got it wrong, please let me know. And if I got it right, can you please mark me as Brainliest? I'm trying to get pass the "ambitious" rank. Hope this helps you out!
HELP PLS 10 POINTS + BRAINLIST~!
A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.
Where did Milo make his first error?
He assumed the pens are equally priced.
He wrote the unit rate incorrectly.
He made a place value error when dividing.
He multiplied instead of dividing.
