Answer:
The number of cartons of concentrated orange juice she needs in 4.5 gallons of orange juice is 12 cartons of orange juice
Step-by-step explanation:
The given parameters are;
The volume of the concentrated orange juice = 12 fluid ounce cartons
The ratio of orange juice concentrate to water = 12 fluid ounces to 36 fluid ounces
The amount of orange juice James need = 4.5 gallons = 576 fluid ounces
Therefore;
The ratio of orange juice concentrate to water is 12:36
Therefore;
Let 'x' represent the amount of concentrated orange juice in 4.5 gallons of orange juice, and let 'y' represent the amount of water in the 4.5 gallons of orange juice, we have;
x + y = 4.5 (gallons)...(1)
x:y = 12:36 = 1:3
∴ x/y = 1/3
3·x = y...(2)
From equation (1) and equation (2), we have;
x + y = 4.5
x + 3·x = 4.5
x = 4.5/4 = 1.125
x = 1.125
The amount of concentrated orange juice in 4.5 gallons of orange juice, x = 1.125 gallons
∴ y = 3 × x = 3 × 1.125 = 3.375
y = 3.375
The amount of water in the 4.5 gallons of orange juice, y = 3.375
Therefore, we have;
4.5 gallons = 576 fluid ounces
∴ 1.125 gallons = (576/4.5) × 1.125 = 144 fluid ounces
The amount of fluid ounces per carton = 12 fluidounces/carton
∴ The number of cartons in 144 fluid ounces = 144 fluidounces ÷ 12 fluidounces/carton = 12 cartons
The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons
The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice
The amount (number of cartons) of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice.
what is the slope pls help
Answer: 19,7
Step-by-step explanation:
please help
will mark brainlist
Answer:
(-2, 4)
Step-by-step explanation:
Reflection over the x-axis would mean the point would flip upwards, this would affect the y coordinate.
Find the circumference of the pizza. Round your answer to the nearest tenth.
diameter 12
in.
Answer:
Rounded=37.7
Step-by-step explanation:
C=2πr=2·π·6≈37.69911
A cat jumps off a three foot high kitchen counter at an initial upward velocity of 2 feet per second. The function h(t) = -16ť + vt + s models the cat's height (in feet) above the kitchen floor, where v is the initial upward velocity of the cat in feet per second. a. Write an equation to find the time when h(t) = 0. _16+ + tt =0 0 b. Solve the equation to find the two values for t. t= or t = C. Explain the two values for t in the context of the situation.
im highly confused .. please help .. i will mark brainliest!
Answer:
22/7*1.5 square
=7.1 meter square
Answer:
Don’t Be Worried!
the formula Is A=πr2
The answer will be last option
Step-by-step explanation:
I hope you are staying safe!
the other answers I already did I just need the division answers
Answer:
6÷41 equals 0.14634146341
6÷21 equals 0.28571428571
6÷43 equals 0.13953488372
6÷37 equals 0.16216216216
6÷20 equals 0.3
Step-by-step explanation:
Hope this helps
i need help with that please .
Answer:
3,3
Step-by-step explanation:
Which of the following words/phrases does not belong? rate of change, y-intercept,slope, change in y/change in x HURRY ILL GIVE BRAINLEST
Answer
rate of Change is the odd one I think
what percentage is $4 of $16?
PLSSS HELP QUICK!!
Find the area of the rectangular base
Answer:
77
Step-by-step explanation:
Area equals width times height, so 11 times 7 is 77
I NEED HELP RIGHT NOW ! PLEASE HURRY UP ASAP
Answer:
D.
Step-by-step explanation:
11. 12. and 13. Please no links
31. What is the surface area of the pyramid to the nearest whole number?
A 25 cm
B 60 cm
C 30 cm2
D 85 cm2
Answer:
D. 85 cm2
Step-by-step explanation:
Find the value of x.
Can someone help please?
Select the correct answer.
Consider this equation of a parabola.
- 2x2 - 4x + 2y + 8 = 0
What is the equation expressed in vertex form?
O A.
B.
л
y = (x – 4)2 – 20
y = (x + 1)2 – 5
C. y = (1 – 4)2 + 4
OD. y = (x + 1)2 - 1
Answer:
B
Step-by-step explanation:
The cost to mail a package varies directly to the weight of the package. If a 14- ounce package costs $4.48 to mail, find the weight of a package that cost $8 to mail.
Answer:
Step-by-step explanation:
Ok so first, we must figure out what 1 once costs. This can be done by divideing 4.48(cost) by 14(weight).
You should get 0.32.
Now just multiply by 8 and you should get your answer. This answer is 2.56.
Answer:
2.56
Another way this can be done is dividing 8(second weight) by 14(first weight) which will get you the difference. This is 0.5714 blah blah blah goes on for a long time. Now, take this number and multiply it by the 4.48(first cost). This should get you 2.56.
Answer:
2.56
Ti⊂k∫∈s ω∅∅p
A triangle has side lengths of
(x-8) (4x2 – 3) and (4x2 + 4).
If the perimeter is 650 units, what is the value of x?
Given:
The three sides of a triangle are:
[tex](x-8),(4x^2-3),(4x^2+4)[/tex]
The perimeter of the triangle 650 units.
To find:
The value of x.
Solution:
Perimeter of a triangle is the sum of all three sides of the triangle. So,
[tex]Perimeter=(x-8)+(4x^2-3)+(4x^2+4)[/tex]
[tex]Perimeter=8x^2+x-7[/tex]
The perimeter of the triangle 650 units.
[tex]8x^2+x-7=650[/tex]
[tex]8x^2+x-7-650=0[/tex]
[tex]8x^2+x-657=0[/tex]
Splitting the middle term, we get
[tex]8x^2+73x-72x-657=0[/tex]
[tex]x(8x+73)-9(8x+73)=0[/tex]
[tex](x-9)(8x+73)=0[/tex]
Using zero product property, we get
[tex](x-9)=0\text{ and }(8x+73)=0[/tex]
[tex]x=9\text{ and }x=-\dfrac{73}{8}[/tex]
For negative value of x, the side [tex](x-8)[/tex] will be negative, which is not possible because the side of a triangle cannot be negative.
Therefore, the only value of x is 9.
If interest is compounded twice a year, at what annual rate must you invest $2000 to have $3000 at the end of 6 years?
Step-by-step explaination
How to calculate interest compounded semiannually
Add the nominal interest rate in decimal form to 1. The first order of operations is parentheses, and you start with the innermost one. ...
Solve step one to the power of how many compounding periods. ...
Subtract from step two. ...
Multiply step three by the principal amount.
Red copper costs $0.90 for 7.6m and yellow copper costs $1.12 5.2m. Estimate how much each amount of copper costs.
Answer: Red copper = $0.12 per meter
Yellow copper = $0.22 per meter
Step-by-step explanation:
Since Red copper costs $0.90 for 7.6m, the cost of 1m of red copper will be:
= $0.90/7.6
= $0.12
Since yellow copper costs $1.12 5.2m, the cost of 1m of yellow copper will be:
= $1.12 / 5.2
= $0.22 per meter
a guidebook says this tower is 50m tall.Is that correct? given deegrees are 27° and 46°
9514 1404 393
Answer:
yes
Step-by-step explanation:
The tower is about 50.1 meters tall. The guidebook is correct.
__
The distance from the base of the tower to the angle vertex is ...
d1 = h/tan(46°)
d2 = d1 +50 = h/tan(27°)
Then the height of the tower is ...
h/tan(46°) +50 = h/tan(27°)
50 = h(cot(27°) - cot(46°))
h = 50/(cot(27°) -cot(46°)) ≈ 50/(1.96261 -0.96569) ≈ 50/0.99692
h ≈ 50.1544 . . . meters
The tower is more than 50 meters high.
Directions: Find the value of each variable.
HELPPPP
Answer:
wow I'll need time to figure this out
Charlotte has $37. She wants to buy a ski pass for $125. She can earn $8 per hour at her summer job.
- Enter an inequality that represents the number of hours (h) Charlotte could work to earn at least enough money to buy the ski pass.
Answer:
8h + 37 = 125
Step-by-step explanation:
if she already has 37, you can take 37 from 125. you should have 88 left.
if you do the math, 8 x 11 is 88. so she needs to work 11 hours to be able to pay for the ski pass.
Use the key features of the polynomial f(x) = −2x3 + 5x2 − 2x − 3 to describe its end behavior.
A. The left side continues down, and the right side continues up.
B. The left side continues down, and the right side continues down.
C. The left side continues up, and right side continues up.
D. The left side continues up, and the right side continues down.
Answer:
b
Step-by-step explanation:
The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.
Which measurement is closest to the number of miles between these two towns?
O 75 mi
O 3 mi
O 192 mi
117 mi
A city has a population of 2,549,786 people. Written as the product of a single digit and a power of ten, this number is 3 x 10 to what power? *
Answer:
3 x 10^6
Step-by-step explanation:
Answer:
3 x 10^6
Step-by-step explanation:
Choose the correct symbol
Answer:
[tex]2,000lb < 1 t[/tex]
Step-by-step explanation:
1 Ton = 2,240 lb
What is the volume of a hemisphere with a diameter of 5.5 cm, rounded to the
nearest tenth of a cubic centimeter?
Answer:
not very sure but V = 2094.3951 m3
Step-by-step explanation:
-44 +40−44+40minus, 44, plus, 40
Answer:
-12
Step-by-step explanation:
lol, hope this isn't a troll
Answer:
-12
Just combine the numbers
Don’t use a calculator
Show your work pls DONT USE ANY LINKS
Answer:
1.550
Step-by-step explanation:
PLLZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPP PLZZZZZZZZZZZZZZZZZZZZZ
Answer: your answer is C. there is no common factor between 6 and 15.
Answer:
the answer is D 9w=21
how
21/9 = 2.3333333333
Step-by-step explanation: