Answer:
570 grams of water
Step-by-step explanation:
171 divided by 6 = 28.5
28.5 grams are in 1 ounce
so Multiply 28.5 by 20 to get the new amout which is 570
The amount of water present in 20 ounces of grapefruit juice will be 570 grams.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
A 6-ounce serving of grapefruit juice contains 171 grams of water.
The ratio of the amount of grapefruit and water present will remain constant.
Let 'x' be the amount of water present. Then the equation is given as,
x / 20 = 171 / 6
x = 20 · 171 / 6
x = 570 grams
The amount of water present in 20 ounces of grapefruit juice will be 570 grams.
More about the ratio and the proportion link is given below.
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I NEED HELP ASAP IT IS DUE TODAY!!,
Lori needs a length of twine 8.5 meters long to mark a row in her garden. Andrew needs a length of twine 7.28 meters long for his row. They have one length of twine that measures 16.29 meters.
After they each take the lengths they need, how much twine will be left?
Answer:
.51 meters of twine
Step-by-step explanation:
add the numbers of twine they each need which is 15.78 then subtract the 16.29 they have minus the 15.78 they need now you have a left over .51 meters
In which quadrant does the point S(-3, -4) lie?
quadrant I
quadrant II
quadrant III
quadrant IV
It would be quadrant III
Answer:
Quadrant 3
Step-by-step explanation:
Quadrant 3: (-, -)
Area model for division 427÷7
Find the area. Round to the nearest hundredth if necessary
Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 5–10.
-10
-5
0
5
10
+
5
O!
0
-10
5
10
-10
-5
0
5
10
DONE
Answer:
20
Step-by-step explanation:
good luck
The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$ is obtained by subtracting 9 from the largest number $y$. This number $n$ also results by adding 9 to the third number $z$. What is the product of the three numbers?
Just take the $ out
You're given
x + y + z = 165
7x = n
n = y - 9
n = 9 + z
and you want to find xyz.
Solve the last three equations for x, y, and z :
7x = n → x = n/7
n = y - 9 → y = n + 9
n = 9 + z → z = n - 9
Substitute x, y, and z into the first equation and solve for n :
n/7 + (n + 9) + (n - 9) = 165
n/7 + 2n = 165
n + 14n = 1155
15n = 1155
n = 77
Now solve for x, y, and z :
x = 77/7 = 11
y = 77 + 9 = 86
z = 77 - 9 = 68
Then the product is
xyz = 11 • 86 • 68 = 64,328
The product of the three numbers is 8,192,040. The sum of three numbers x, y, z is 165: x + y + z = 165
The problem states:
1. When the smallest number x is multiplied by 7, the result is n: 7x = n
2. The value n is obtained by subtracting 9 from the largest number y: n = y - 9
3. The value n is also obtained by adding 9 to the third number z: n = z + 9
Now, let's proceed to find the values of x, y, z, and n:
From equation (2), we can express x in terms of n:
x = n/7
Now, substitute the value of x in equation (1):
(n/7) + y + z = 165
From equation (3), we can express y in terms of n:
y = n + 9
Now, substitute the value of y in the equation above:
(n/7) + (n + 9) + z = 165
From equation (4), we can express z in terms of n:
z = n - 9
Now, substitute the value of z in the equation above:
(n/7) + (n + 9) + (n - 9) = 165
Combine the terms with n:
3n/7 = 165
To isolate n, multiply both sides by 7/3:
n = 165 * (7/3)
n = 385
Now, we have the value of n, which is 385. To find the values of x, y, and z, substitute n back into the respective equations:
x = n/7 = 385/7
≈ 55
y = n + 9 = 385 + 9
= 394
z = n - 9 = 385 - 9
= 376
Now, we have the values of x, y, z, and n:
x = 55,
y = 394,
z = 376,
n = 385
To find the product of the three numbers, simply multiply them:
Product = x * y * z
= 55 * 394 * 376
≈ 8,192,040
So, the product of the three numbers is 8,192,040.
To know more about three numbers:
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Please help me with 4-6 ASAP I will give 30 points
Answer:
i did that paper made 100 but i was looking for it to help u and when i got it i tripped with my enchaladas im tryna clean it to get the answers
Step-by-step explanation:
The data was modeled with a linear best-fit function. What was the initial
purchase price?
X Y
4. 5,000
7. 6,875
9. 8,125
12. 10,000
A. $625
B. $2,500
C. $5,000
D. $5,625
Answer:
c
Step-by-step explanation:
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
Answer: 20/3 * $10.50 = &73.5
.
HOPE THIS HELPS TOUCH THANKS PLEASEStep-by-step explanation:
Answer:
73.5$
Step-by-step explanation:
21/7=3 so 10.50*7 will give the budget
a size 8 kids shoe measures 9 2/3
Michael can mow 5 lawns in 36 minutes. At this rate, how long will it take him to mow 15 lawns?
Answer:
It would take him 108 minutes to mow the lawn.
Step-by-step explanation:
We can do proportion.
[tex] \frac{5 \: lawns}{36 \: minutes} = \: \frac{15 \: lawns}{x} [/tex]
[tex]36 \times 15 = 540 \\ 5 \times x = 5x[/tex]
[tex] \frac{540}{5} = \frac{5x}{5} [/tex]
[tex]108 = x[/tex]
Each day Louders reads 30 pages
Answer:
woww
Step-by-step explanation:
Can someone please help with writing this out as equation?
The student council has decided to sell t-shirts with a school logo to promote school spirit. Amanda investigated 1 company that would charge $75 to make the printing screen for the shirts, and then $5.50 per shirt. Adam checked out a 2nd company that would charge a straight $7 per shirt. Which company's option would respresent a proprtional relationship? You should support your answer with an equation, a table of values, or a graph.
Help how can I solve This
Answer:
1. 5\7.5 =2\3
2. 7\100=3.5\50
Step-by-step explanation:
what number line shows the solution of -5x + 10 > -15
Answer: x<5
Step-by-step explanation: Subtract 10 from both sides. Simplify -15-10 to -25. Divide both sides by -5. Two negatives make a positive. Simplify 25/5 to 5.
I NEED HELP STAT
=12×0.75
Answer:
9
Step-by-step explanation:
use a calculator of just think about it
Answer:
9.00
Step-by-step explanation:
What is the recursive formula for this sequence? 12, 16, 20, 24, 28, ...
Answer:
A
Step-by-step explanation:
first term is 12, and following terms are obtained adding 4 to previous term.
Find the sum. Write your answer as a decimal.
-5.74 + 5.5 =
Answer:
-0.24
Step-by-step explanation:
Math is math i just know it in my head i do nt know how tpo explain itA quiz consists of 920 true or false questions. If the student guesses on each question, what is the mean number of correct answers
Answer:
460
Step-by-step explanation:
This quiz is Said to consist of 920 questions. Each if these questions have 2 options of answering them only. Which is True or False.
True represents correct = 0.5
False represents wrong = 0.5
The probability of correct is = 0.5
With a sample size of 920
Mean = no
= 920x0.5
= 460
So the mean number of correct answer from this calculations I just did is equal to 460
The table shows values of n and f(n) for the equation f(n) =
n(n+3)
2.
f(n)
1
2
2
5
3
9
4
?
What is the value of f(n) when n =
= 42
A 12
B. 13
C. 14
D. 28
E
I looked at the the picture and the answer is A. 12
I guess the 2 was supposed to be a question mark judging by the picture...
Is 500% of 9 less than 10, greater than 10 but less than 100, or greater than 100?
What is the slope of a line parallel to the line whose equation is 2x+y=6.
Answer:
-2 is the slope...
So Basically -2/1
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
First, you solve for y by subtracting 2x from both sides of the equation and so now we have a y= -2x+6. The slope is going to be the number that is with x.
A triangle has side lengths of 21, 27, and 35 inches. Is it
right triangle?
3. Sam and Tim each have savings accounts. Every month they each put in some of their
earnings from mowing lawns. Use the tables to find the y-value of the solution to the
system shown.
х
1
2
3
4
f(x)
80
110
140
170
х
1
2
3
4
g(x)
100
120
140
160
Answer:
[tex]y = 30x +50[/tex] --- Sam
[tex]y = 20x +80[/tex] --- Tim
Step-by-step explanation:
Given
Sam Tim
х --- f(x) --------------- g(x)
1 --- 80 --------------- 100
2 --- 110 --------------- 120
3 --- 140 --------------- 140
4 --- 170 -------------- 160
Required
Determine the y value
y value implies the equation of the table
Calculating the equation of Sam
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,80)[/tex]
[tex](x_2,y_2) = (4,170)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{170 - 80}{4 - 1}[/tex]
[tex]m = \frac{90}{3}[/tex]
[tex]m = 30[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 80 = 30(x - 1)[/tex]
[tex]y - 80 = 30x - 30[/tex]
Make y the subject
[tex]y = 30x - 30 + 80[/tex]
[tex]y = 30x +50[/tex]
Calculating the equation of Tim
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,100)[/tex]
[tex](x_2,y_2) = (4,160)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{160 - 100}{4 - 1}[/tex]
[tex]m = \frac{60}{3}[/tex]
[tex]m = 20[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 100 = 20(x - 1)[/tex]
[tex]y - 100 = 20x - 20[/tex]
Make y the subject
[tex]y = 20x - 20+100[/tex]
[tex]y = 20x +80[/tex]
a number, a variable, or a product of a number and one or more variables
Answer:
Polynomials
Step-by-step explanation:
GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points represents the largest number?
P
M
J
H
5) Choose which postulate proves the triangles congruent.
Answer:
AAS
Step-by-step explanation:
HEHE
ΔBAC and ΔDAC are the congruent triangles by ASA postulate of the congruence of two triangles.
In ΔBAC and ΔDAC,
Given properties are,
AC bisects ∠BADAC bisects ∠BCDBy using these properties,
∠BAD ≅ ∠DAC (Given)
∠BCA ≅ ∠DCB (Given)
AC ≅ AC (Reflexive property)
ΔBAC ≅ ΔDAC (ASA postulate of congruence of two triangles)
Therefore, ΔBAC and ΔDAC will be congruent by ASA postulate for the congruence of two triangles.
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A test of a new car results in 300 miles on 10 gallons of gas. How far could you drive on 45 gallons of gas?
Question 5 options:
1350 miles
67 miles
670 miles
135,000 miles
Answer:
1350
Step-by-step explanation:
300x4=1200
300×.5=150
1200+150=1350
Lonnie bought 6 pieces of ribbon. Each
ribbon was 2 3/4
yards long. How much
ribbon did Lonnie buy in all?
OA) 12 1/2
)
OB) 14 1/2
yd
OC) 151/2
yd.
OD) 16 1/2
yd.
Answer:
D
Step-by-step explanation\Turn 6 into a fraction 6/1, and 2 2/3 into an improper fraction, 11/4 by multiplying two times the denominator and add the top number and keep the denominator from the begining. That will give you the 11/4. Then multiply across and you should be 16 1/2.
Need help with hw due in less than a hr!