Answer:
a) 18 quarts of sparkling water
b) 1.875 quarts of grape
Step-by-step explanation:
Question 2 Fill in the blanks to complete the sentence.
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
a. How much sparkling water would you need to mix with 9 quarts of grape juice?
3/4 quarts of grape = 1 1/2 quarts sparkling water
9 quarts of grape = x
x = (9 × 1 1/2) ÷ 3/4
x = (9 × 3/2) × 4/3
x = 27/2 × 4/3
x = 18 quarts of sparking water
b. How much grape juice would you need to mix with 15/4 quarts of sparkling water?
1 1/2 quarts of sparkling water = 3/4 quarts of grape
1 5/4 quarts of sparkling water = x
x = (3/4 × 15/4 ) ÷ 1 1/2
x = (0.75 × 3.75 ) ÷ 1.5
x = 1.875 quarts of grape
c. How much of each ingredient would you need to make 100 quarts of punch?
Round your answer to the nearest whole quart. sparkling water: quarts grape juice: quarts
What is the solution to this system of equations? 2t + w = 10 4t = 20 − 2w A. It has no solution. B. It has infinite solutions. C. It has a single solution: t = 4, w = 2. D. It has a single solution: t = 2, w = 6. E. It has a single solution: t = 6, w = -2.
Answer:
B. It has infinite solutionsStep-by-step explanation:
Given the system of equations:
2t + w = 10 ..... 1
4t = 20 − 2w ... 2
From 1:
w = 10-2t ...3
Substitute 3 into 2 to have;
4t = 20 - 2(10-2t)
4t = 20-20+4t
4t = 4t
Let t = k
Substitute t = k into 1 and get w;
From 1: 2t + w = 10
2k + w =10
w = 10 - 2k
k can take any integers. This shows that the solution to the equation is infinite
Answer:
the answer is B jit
Step-by-step explanation:
swag style 5th form......................................................
SWAGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGgGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGY
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A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $3
Answer: $15
The original price of the mirror is unknown, so let's call it x.
The discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.
We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.
0.2x = 3
Divide both sides by 0.2.
x = 3/0.2
x = 15
The regular price is $15.
Step-by-step explanation:
Which equation can be used to find 150% of 500?
Pls ignore that I selected C.
Answer:
A?
Step-by-step explanation:
A is the only one that makes sense, becaues 150% of 500 is 750.
150/100 = 150%
5/5, I believe, just represents the 5 in 500.
help ahhhh
brainliest for 1st answer
Answer:
232.96
Step-by-step explanation:
18.2-12.8=5.4
12.8•12.8=163.84
5.4•12.8=69.12
163.84+69.12=232.96
Gil charges $5 per bracelet plus $2 for each string colour. If Gil makes 3 bracelets
with x colours, write an expression that represents how much money Gil makes.
Answer: 15 + 2x
Step-by-step explanation:
5b + 2x
5 (3) + 2x
15 + 2x
I think I'm right so I hope it helped!!
What is the equation of the line in point-slope form that has a slope of -3 and passes through the point (5, 9)?
Answer:
try = (-10/11)x - (49/11)
PLEASE HELP ME ITS DUE IN 30 MINS
Step-by-step explanation:
I honestly dont know. Maybe you could try to multiply the numbers on the chart? I hope this helped:)
Help ASAP please!!! The question is too match all these 5 definitions to the 5 math vocabulary words but I don’t know which one goes to which!!!! If you help I’ll mark you brainlist! Ps your supposed to match every vocabulary word to there definition or what they are known for!
Tara has ¾ cup of ice cream. How many ⅕ cup servings are in ¾ cup of ice cream?
Answer:
3 3/4
Step-by-step explanation:
3/4 * 1/5
First you would turn 1/5 into a reciprocal
Now your equation would be 3/4 *5/1
Now you multiply 3/4 * 5/1
15/4
Now find 15/4 as a mixed number
15/4 as a mixed number would be 3 3/4
Therefore there are 3 3/4 1/2 cup servings in a 3/4 cup of ice
You are Gina versus the 40% of the students to apply. All the students in the University at six, 35% actually enroll. It's 10,000 students apply, how many actually enroll?
Answer:
1,400 students
Step-by-step explanation:
Calculation for how many actually enroll
First step is to calculate the numbers of students that was accepted
Numbers of students accepted=10,000 students*40%
Numbers of students accepted=4,000 students
Now let calculate the numbers of students that was enrolled
Students enrolled=4,000 students*35%
Students enrolled=1,400 students
Therefore the numbers of students that actually enrolled is 1,400 students
Divide. Write the quotient in the lowest terms. 3/5 divided by 2 1/2
Answer:
6/25
Step-by-step explanation:
2 1/2 = 5/2
3/5 / 5/2 = 3/5 * 2/5 = 6/25
Evaluate h(x) = -2x + 9 when x = -2.0. and 5
Answer:
h(-2) = 13
h(5) = -1
Step-by-step explanation:
Given the function
h(x) = -2x + 9
Evaluating at x = -22
substitute x = -2
h(-2) = -2(-2) + 9
h(-2) = 4 + 9
h(-2) = 13
Therefore,
h(-2) = 13Evaluating at x = 5
Given the function
h(x) = -2x + 9
substitute x = 5
h(5) = -2(5) + 9
h(5) = -10 + 9
h(5) = -1
Therefore,
h(5) = -1Which equation is equivalent to 2x+ 1.5 = 4.5
•2x+3=0
•x=3
•2x=6
•2x-3=0
A mechanic makes $350 /week. If 20% of his income is deducted for taxes, how muchd id the mechanic bring home as pay?
Answer:
$280
Step-by-step explanation:
Step one
Given data
A mechanic makes $350 /week
20% of his income is deducted for taxes
Required
the mechanic's take-home pay for the week
Step two:
let us find 20% of $350
=20/100*350
= 0.2*350
=$70
Therefore the take-home pay is
= 350-70
= $280
find the slope of the line
Answer:
Undefined
Step-by-step explanation:
The graph shows a vertical line. All vertical lines have a undefined slope.
This is because that while using the slope formula you will end of with the denominator being 0. You cannot divide by zero.
Hope this helps!
Mariah025 answer here please
Answer:
wht
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1. Using the right triangle above, fill in the correct ratios for each trigonometric function. (do not simplify)
numbers on triangle:
77, 85, 36
(there is a right angle)
2. Decide which of the following statements are true based on the given triangle below. Assume the figure is drawn to scale such that angle A is greater than angle B
Helppp plssss It’s all in the photo
Answer:
90 (its a square no?)
Step-by-step explanation:
given f (x) = 3x+4, find f (2)
f(x) = 4x + 4 means that if we put an x into our function, a 3x + 4 come out.
So in this problem, we're putting a 2 into our function which
means that a 3(2) + 1 comes out which simplifies to 6 + 1 or 7.
So f(2) = 7 or the value of the function at 2 equals 7.
[tex]f(x) = 3x + 4[/tex]
Find f(2) by substituting x = 2 in the equation.[tex]f(2) = 3(2) + 4 \\ f(2) = 6 + 4 \\ f(2) = 10[/tex]
Therefore the value of f(2) is 10.
Meaning of f(a) and substitution in functionf(a) means the value of f(x) is ... at x = a. Same goes to the f(2) = 10. It means the value of f(x) = 10 at x = 2.
Answer[tex]f(2) = 10[/tex]
Solve for all values of x by factoring.
x^2+ 7x = 0
Answer:
x = 0, -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/Coefficients/DegreesFactoringSolving QuadraticsMultiple RootsStep-by-step explanation:
Step 1: Define
x² + 7x = 0
Step 2: Solve for x
Factor: x(x + 7) = 0Solve roots: x = 0, -7In this activity, you will draw a scatter plot and the line of best fit to analyze a situation.
Jeremy is on the planning committee for the rock climbing club. He is putting together a trip where members can go outdoor rock climbing. He is trying to determine how high the group should climb and how long the trip should last. He calls multiple parks in the area that offer rock climbing and collects data on the height of the rock formations and the average time it takes people to reach the top and come back down. The data he found is shown.
Time to Climb (min) Height (ft)
30 85
45 120
115 298
87 194
160 434
60 241
135 351
117 339
55 180
145 400
95 248
150 370
67 155
120 296
100 271
88 255
138 315
75 215
167 405
120 317
Part A
Question
Use the graphing tool to determine the line of best fit for the scatter plot.
Answer: Here’s the answer from Plato.
Step-by-step explanation:
I hope it right.
N Which system of linear inequalities has the point (3,-2) in its solution set?
Answer:
h
Step-by-step explanation:
Lin runs 2 3/4 miles in 2/5 of an hour. Tlyer runs 8 2/3 miles in 4/3 of an hour. How long does it take for each of them to run 10 miles
Answer:
Lin 1.454 h
Noah 1.54h
Step-by-step explanation:
From the above, we were given that;
Lin ran 2 3/4 miles in 2/5 an hour. Then, Noah ran 8 2/3 miles in 4/3 an hour
Speed of Lin
V = [(2 3/4)/(2/5)] mph
V = [(11/4)/(2/5)] mph
V = 6.875mph
Speed of Noah
V = [(8 2/3)/(4/3)] mph
V = [26/3)/(4/3))] mph
V = 6.5mph
The time taken by Lin to cover 10 miles
t = 10/6.875
t = 1.454h
The time taken by Noah to cover 10 miles
t = 10/6.5
t = 1.54h
Find the slope of the line graphed below.
Answer:
[tex]\frac{6}{5}[/tex]
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~
(3, 3)
( - 2, - 3)
m = [tex]\frac{-3-3}{-2-3}[/tex] = [tex]\frac{6}{5}[/tex]
Can someone help??? please
Answer:
third one is correct
Step-by-step explanation:
PQ=√13
PR=6
QR=√13
2 w = 2p - 3z
a Find w when p = 8 and z = -2
Answer:
11
Step-by-step explanation:
2w = 2×8 - (-2×3)
2w = 16 - (-6)
2w = 22
w = 11
Which of the following expressions is equivalent to 2x + y − 4y + 8?
Question 10 options:
A. 2x + 3y + 8
B. 3x − 4y + 8
C. 2x − 4y + 8
D. 2x − 3y + 8
Answer:
2x - 3y + 8
Step-by-step explanation:
If you combine like terms
(In this case "y" and "-4y")
You get "-3y"
The rest of the equation stays the same, as there are no more like terms.
Therefore the answer is the D.
HELP ASAP
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for
chocolate cake or cheesecake. Out of the total 50 people who liked chocolate cake, 15 also liked cheesecake. There were 25 people who liked
cheesecake
Part A: Summarize the data by writing the values that the letters A to l in the table below represent. (5 points)
Part B: What percentage of the survey respondents did not like either chocolate cake or cheesecake? (3 points)
Part C: Do the survey results reveal a greater dislike for chocolate cake or cheesecake? Justify your answer. (2 points)
A
Like choc cake and cheesecake- 15
Like choc cake no cheesecake- 35
Total- 50
No choc but cheesecake- 25
No choc no cheesecake- 25
Total- 50
Fraction or decimal form round all the way!
Answer:
Solving the given expression [tex]x+\frac{1}{2}-x=\frac{1}{2}[/tex] we get 0=0
Step-by-step explanation:
We need to solve the expression: [tex]x+\frac{1}{2}-x=\frac{1}{2}[/tex]
Solving the expression:
We will use simple maths rules to solve the expression
[tex]x+\frac{1}{2}-x=\frac{1}{2}[/tex]
Subtracting 1/2 on both sides and simplify
[tex]x+\frac{1}{2}-x-\frac{1}{2}=\frac{1}{2}-\frac{1}{2}\\x-x=0\\0=0[/tex]
Solving the given expression [tex]x+\frac{1}{2}-x=\frac{1}{2}[/tex] we get 0=0
So, the expression is true for all values of x. there will be infinite solutions to the system.
In Jonesville Louisiana 125 students attend last Friday high school football game. This about 25% of the students currently enrolled at the school. How many students are enrolled at the high school?
Answer:
500 students
Step-by-step explanation:
In Jonesville Louisiana 125 students attend last Friday high school football game. This about 25% of the students currently enrolled at the school. How many students are enrolled at the high school?
Let the number of students enrolled at the high school be represented as x
Hence:
25% of x = 125
25/100 × x = 125
25x /100 = 125
Cross Multiply
25x = 125 × 100
x = 125× 100/25
x = 500 students