Answer:
Part A = 4 cups of water
Part B = 5 Fluid ounces of vinegar
Part C = 17 quarts of cleaning solution
Part D = 1/17
Step-by-step explanation:
We have the following conversion rates
1 cup = 8 fluid ounces
1 gallon = 128 fluid ounces
1 gallon = 16 cups
To make cleaning solution
1 cup of vinegar + 1 gallon of water to make a cleaning solution
1 cup of vinegar + 16 cups of water = cleaning solution
The ratio of vinegar to water
8 fluid ounces of vinegar : 128 fluid ounces of water.
1 cup: 16 cups
Part A: How many cups of water should be mixed with 1/4 cup of vinegar to make the cleaning solution?
1 cup of vinegar + 1 gallon of water to make a cleaning solution
1 cup of vinegar = 16 cups of water
1/4 cup of vinegar =
= 1/4 cups of vinegar × 16 cups of water/ 1 cup of vinegar
= 4 cups
Part B. How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution?
128 fluid ounces of water = 8 fluid ounces of vinegar
80 fluid ounces of water =
Cross Multiply
= 80 fluid ounces of water × 8 fluid ounces of vinegar/ 128 fluid ounces of water
= 640/128
= 5 fluid ounces of vinegar
Part C: The bottle of vinegar contains 1 quart. What is the total number of quarts of cleaning solution that can be made using the entire bottle of vinegar? You may consider how many cups and fluid ounces are in a quart.
1 bottle of vinegar = 1 quart vinegar = 4 cups vinegar
1 cup of vinegar = 16 cups of water
4 cups of vinegar =
4 × 16 = 64 cups of vinegar
Convert 64 cups of vinegar to quart
= 1 cup = 1/4 quart
64 cups = 64 × 1/4 = 16 quarts
Hence, the number of quarts of cleaning solution that can be made with 1 quart of vinegar
= 1 quart of vinegar + 16 quarts of vinegar = 17 quarts of cleaning solution
Part D: A spray bottle holds up to 1 cup (8 fluid ounces) of the cleaning solution. When the spray bottle is full, what fraction of the cleaning solution is vinegar?
8 fluid ounces of vinegar + 128 fluid ounces of water = 136 ounces of cleaning solution
136 ounces of cleaning solution = 8 fluid ounces of vinegar
8 fluid ounces of cleaning solution =
8 × 8 /136 = 64/136
= 8/17 ounces of vinegar is contained is 8 fluid ounces of cleaning solution
The fraction of vinegar in one cup of cleaning solution
= 8/17 ounces of vinegar ÷ 8 fluid ounces
= 8/17 ÷ 8
= 8/17 × 1/8
= 1/17
Therefore, when the spray bottle is full(1 cup = 8 fluid ounces, )the fraction of vinegar in the cleaning solution = 1/17
PLEASE HELP Solve this equation show your work and choose the best answer: 5X +8 = 18
Naheem is thinking of going canoeing with some of his pals this weekend. It costs $35 to rent the canoe and $3 per hour its rented. If Naheem has $50 total, how many hours can he afford?
Hello! My name is Chris and I’ll be helping you with this problem.
Date: 9/28/20 Time: 9:51 am CST
Answer:
5 hours
Explanation:
Step 1: Set up an equation:
35 + 3x = 50
Step 2: Solve:
35 + 3x = 50 Subtract 35 from both sides
3x = 15 Divide 3 from both sides
x = 5
I hope this helped answer your question! Have a great rest of your day!
Furthermore,
Chris
One day 28 small and 12 large merchant spaces were rented. Another day, 30 small and 15 large spaces were rented. Write and evaluate an expression to show the total rent collected
Answer:
The expression which shows the total rent collected is S + L
The total rent collected is 85 of different size
Step-by-step explanation:
Let us list the given information
→ On one day: 28 small and 12 large merchant spaces were rented
→ Another day: 30 small and 15 large spaces were rented
Let S represents the small spaces and L represents the large spaces
∴ The total rent collected = S + L
∵ S in the two days = 28 + 30
∴ S = 58
∵ L in the two days = 12 + 15
∴ L = 27
Substitute The values of S and L in the expression of the total above
∴ The total rent collected = 58 small spaces + 27 large spaces
∴ The total rent collected = 85 of different size
The expression which shows the total rent collected is S + L
The total rent collected is 85 of different size
Verify whether 2 and 0 are zeroes of the polynomial x2 – 2x
Answer:
Yes, 2 and 0 are the zeroes.
Step-by-step explanation:
Given polynomial: x²-2x
p(2)= 2²-2(2)
= 4-4
= 0
p(0)= 0² -2(0)
= 0-0
= 0
What are the rate of change and the intercepts of the graph?
Answer:
rate of change is a #
Step-by-step explanation:
I need help with this someone!!
Answer:
Do u have answer choices?
Answer:
Your proportional constant would be 3 in this case.
Step-by-step explanation:
To find it yourself, try and find what number the y-axis equals when x=1. Hope this helps!
Evaluate each function.
h(x) = 2x + 2; Find h(10)
O 22
O 18
O 8
O -8
Answer:22
Step-by-step explanation:
Substitute and solve
I need help please, 20 points
Answer:
3/16
Step-by-step explanation:
Help me I suck at math
Answer:
1
Step-by-step explanation:
................................
Answer:
1
Step-by-step explanation:
.................................
Rewrite in simplest terms: (3x + 2) + (-10x-3)
Answer:
Step-by-step explanation:
Remove the brackets
3x + 2 - 10x - 3
-7x - 1
Answer: - 7x - 1
Step-by-step explanation:
Combine Like Terms
3x - 10x = - 7x
2 - 3 = - 1
Then write them together
- 7x - 1
An adult ticket to a football game was $1.75. A student ticket was $1.25. The number of student tickets sold was twice the number of adult tickets. The total from the ticket sales was $850. If a represents the number of adult tickets, which linear equation can be used to determine how many adult tickets were sold?
Answer:
1.75/1.25=1.4
Step-by-step explanation:
2000×40 with step by step explaination
Answer:
80000
Step-by-step explanation:
you multiply 2000x40 and get 80000 or you can do 8x10^4
11×11-6×17+45
do the work please?
Answer:
33
Step-by-step explanation:
11 * 11 - 6 * 17 + 14
121 - 102 + 14
19 + 14
33
Best of Luck!
Hey there!☺
[tex]Answer:\boxed{64}[/tex]
[tex]Explanation:[/tex]
[tex]11*11-6\times17+45[/tex]
In order to solve, we will need to use the order of operations(PEMDAS). Start from left side multiplication.
[tex]11*11=121[/tex]
Now move to the right side multiplication.
[tex]6*17=102[/tex]
Now subtract the two products.
[tex]121-102=19[/tex]
Now add what is left over.
[tex]19+45=64[/tex]
[tex]64[/tex] is your answer.
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Classify each inequality by the graph of its solution.
Answer:
Step-by-step explanation:
1). |10 - 3x| < 12
⇒ -12 < (10 - 3x) < 12
⇒ -12 -10 < -3x < 12 - 10
⇒ -22 < -3x < 2
⇒ [tex]-\frac{2}{3}<x<\frac{22}{3}[/tex]
[Intersection]
2). |8x| ≥ 0 ⇒ -∞ < x < ∞
[All real numbers]
3). -2|x - 9| > 6
⇒ |x - 9| < -3
[No solution]
4). |2x + 9| + 7 ≥ 6
⇒|2x + 9| ≥ -1
⇒ (2x + 9) ≥ -1
⇒ x > -5
Or (2x + 9) ≤ -1 ⇒ x < -5
-∞ < x < ∞
[All real numbers]
5). |-3 - x| ≥ 5
⇒(-3 - x) ≥ 5
⇒-x ≥ 8
⇒ x ≤ -8
Or -(3 + x) ≤ -5
⇒ x + 3 ≥ 5
⇒ x ≥ -2
[Union]
6). -18 + |x + 9| ≤ -5
⇒ |x + 9| ≤ 13
⇒ -13 ≤ (x - 9) ≤ 13
⇒ -4 ≤ x ≤ 22
[Intersection}
A car is 12 feet long. Levi makes a scale model of the car at 1:8 of its actual model .how long is the model?
The sequence 2,6,10,14 has a constant of
Answer:
4
Step-by-step explanation:
It is a constant growth of 4.
Find m2ABC if m2ABC = 4x + 9 and m2 EBD = 7x– 9.
A6
B 33
C 45
D 73
Answer:
A
Step-by-step explanation:
Answer: A6
Step-by-step explanation:
Ronald drives his car down a road for 4 miles then turns around and drives back towards his starting point for 1 mile. what
is his distance traveled?
Answer:
5 miles
Step-by-step explanation:
4+1 =5
Answer:
5 miles
Step-by-step explanation:
Ronald's total distance traveled would be 5 miles because he travels 4 miles in one direction and 1 mile in another. 4+1= 5
His displacement would be 3 miles because he went, let's say, right 4 miles and then turned around and went left for 1 mile. This puts Ronald at 3 miles from his starting point.
Write words to match the expression 3 + (4 × 12)
Answer:
4 times 12 plus 3
Step-by-step explanation:
Answer:
cccc
Step-by-step explanation:
cccccc
The length of shoes is 25 centimeters. how long is the shoe meters?
Answer:
The shoe is 0.25 or 1/4 meters long.
Step-by-step explanation:
if a=-1,b=-6 and c=2 then what is the value of b2-4ac?
Answer:
-4
Step-by-step explanation:
(-6)(2)-4(-1)(2)
(-12)-(-8)
-12+8=-4
The figure shown is often used to prove the Pythagorean theorem. Part of the proof is
showing that QRST is a square. The four sides of QRST are the same length. Which
explanation best completes the proof that QRST is a square?
Answer: D
Step-by-step explanation:
Heather invested $8,000 in a 4-year Certi!cate of Deposit (CD) that pays 4.1% interest COMPOUNDED QUARTERLY. What is the value of the CD at the end of the 4 years? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
THE ANSWER IS 10
An astronomer estimated the distance from Earth to Mercury to be 5.7 × 107 miles, and the distance from Earth to Neptune to be 2.7 × 109 miles. He wanted to know how many times farther it is from Earth to Neptune than from Earth to Mercury. Consider his work. 1. (2.7 × 109) (5.9 × 107) 2. ( 3.0 6.0 ) ( 109 107 ) 3. 0.5 × 102 The astronomer concluded that the distance in miles from Earth to Neptune is 50 times the distance from Earth to Mercury. Is he correct? If not, what was his mistake? Yes, he is correct. No, the numerator and denominator need to be switched in the expression. No, he needed to round down in his estimation of the coefficients. No, he needed to multiply the coefficients.
Answer:
Yes, he is correct.
Step-by-step explanation:
Took the test
The astronomer is wrong, the numerator and denominator need to be switched in the expression.
How to solve exponential expressionDistance from Earth to Mercury = 5.7 × 10^7 milesDistance from Earth to Neptune = 2.7 × 10^9 milesDifference in distance = Distance from Earth to Neptune ÷ Distance from Earth to Mercury
= 2.7 × 10^9 ÷ 5.7 × 10^7
= 2.7 × 10^9 × 1 / 5.7 × 10^7
= 2.7 × 10^9 / 5.7 × 10^7
= (2.7 - 5.7) × 10^9-7
= -3 × 10² miles
Therefore, the astronomer is wrong,the numerator and denominator need to be switched in the expression.
Learn more about division of exponential:
https://brainly.com/question/25289437
Graph the solution to this inequality on the number line.
−6x+8<−40
il mark brainliest
What is 38,050,000 expressed in scientific notation?
Answer:
8.05 x 10³³ (the ³³ means 6)
Step-by-step explanation: a x 10b
Answer:
idek
Step-by-step explanation:
Dave took a math test. The test started at 9:21, and was 29 minutes long. What time was it when Dave's test ended
Answer:
9:50
Step-by-step explanation:
Answer:
9:50
Step-by-step explanation:
9:21 + 29 mins = 9:50
The formula for finding the area of a circle is A=pi r 2.Solve the formula for r
Answer:
See Explanation
Step-by-step explanation:
[tex]A = \pi {r}^{2} \\ \\ \frac{A}{\pi} = {r}^{2} \\ \\ \huge \red{ \boxed{ r = \sqrt{\frac{A}{\pi} } }}[/tex]
Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the sampling distribution of sample mean are
Select one:
a. 200 and 18
b. 9 and 2
c. 81 and 18
d. 200 and 2 Correct
Answer:
D 200 and 2
Step-by-step explanation:
standard error of the sampling distribution of sample mean is expressed using the formula;
Standard error of the mean = S/√n where;
S is the standard deviation
n is the sample size
Given
S = 18
n = 81
SEM = 18/√81
SEM = 18/9
SEM = 2
The mean of the distribution according to the question is 200.
Hence the mean and the standard error of the sampling distribution of sample mean are 200 and 2 respectively.
if r and s are two solutions of the equations above r > s which of the following is the value of r-s
Answer:
= r
Step-by-step explanation:
as r is greater than s the possibel outcome would be r in the value r-s
