The ratio of cups of orange juice concentrate to water in a punch recipe is 1 : 6. If Stefan used 18 cups of water, how many cups of orange juice concentrate did he use?

Answers

Answer 1

Answer:

Order your units;

Orange Juice           1                  x____________  _______ = ________, solve for x;       Water                   6               18

1/6 = x/18

×18    ×18

18/6 = x

3 = x

He will be using 3 cups of orange juice.


Related Questions

Shaniece was given a large box of 48 chocolates for her birthday. If she eats exactly 3 chocolates each day, how many chocolates would Shaniece have remaining 5 days after her birthday?

Answers

Answer:

33 chocolates

Step-by-step explanation:

3 chocolates times 5 days = 15 chocolates

48 chocolates minus 15 chocolates = 33 chocolates

Watch help video
Kaylee owns a small business selling clothing. She knows that in the
last week 3
customers paid cash, 21 customers used a debit card, and 46 customers used a credit
card.
Based on these results,
debit card as a
express the probability that the next customer will
pay with

Answers

The probability the next customer pays using a debit card based on the last three weeks is 30% or 0.3.

What is a probability?

This is the chance or likelood for an event to occur. For example, if in a city it has snowed every year on December 25th, there is a high probability it will snow this year and in the next years.

How to calcuate the probability?

Total of a specific outcome/ total of outcomes

Based on this, let's calculate the probability the next customer pays using the debit card:

Total that pay with debit card: 21 customersTotal of customers: 70 customers21/ 70 =0.3 or 30%

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help v qucik pleaseeeeee

Answers

[tex](x - 4) {}^{2} + (y - 1) {}^{2} = r {}^{2} [/tex]

passes through ( 4 , -4 )

[tex](4 - 4) {}^{2} + ( - 4 - 1) {}^{2} = r {}^{2} [/tex]

[tex]r {}^{2} = ( - 5) {}^{2} [/tex]

[tex]r {}^{2} = 25[/tex]

[tex]r = \sqrt{25} = 5[/tex]

Your radius is 5 units

[tex]c = 2\pi \: r \\ c = 2 \times 3.14 \times 5 \\ c = 31.4[/tex]

To Draw:

Place your center at the point x=4 and y=1

Then take your radius 5 units by going straight down left right or up by 5 units

AND DRAW

if x=15 degrees and the measure of Arc YZ is 3 centimeters, what is the circumference of the circle?

A- 24
B- 45
C- 60
D- 72

Answers

An arc length is just a fraction of the circumference of the entire circle. So we need to find the fraction of the circle made by the central angle we know, then find the circumference of the total circle made by the radius we know. Then we just multiply them together. Let’s try an example where our central angle is 72° and our radius is 3 meters.

First, let’s find the fraction of the circle’s circumference our arc length is. The whole circle is 360°. Let’s say our part is 72°. We make a fraction by placing the part over the whole and we get 72360, which reduces to 15. So, our arc length will be one fifth of the total circumference. Now we just need to find that circumference.

The circumference can be found by the formula C = πd when we know the diameter and C = 2πr when we know the radius, as we do here. Plugging our radius of 3 into the formula, we get C = 6π meters or approximately 18.8495559 m.

Now we multiply that by 15 (or its decimal equivalent 0.2) to find our arc length, which is 3.769911 meters. Note that our units will always be a length.

How to Find the Sector Area

Just as every arc length is a fraction of the circumference of the whole circle, the sector area is simply a fraction of the area of the circle. So to find the sector area, we need to find the fraction of the circle made by the central angle we know, then find the area of the total circle made by the radius we know. Then we just multiply them together. Let’s try an example where our central angle is 72° and our radius is 3 meters.

First, let’s find the fraction of the circle’s area our sector takes up. The whole circle is 360°. Our part is 72°. We make a fraction by placing the part over the whole and we get 72360, which reduces to 15. So, our sector area will be one fifth of the total area of the circle. Now we just need to find that area.

The area can be found by the formula A = πr2. Plugging our radius of 3 into the formula we get A = 9π meters squared or approximately 28.27433388 m2.

Now we multiply that by 15 (or its decimal equivalent 0.2) to find our sector area, which is 5.654867 meters squared. Note that our answer will always be an area so the units will always be squared.

The circumference of the circle is 72cm.

Arc length formula

[tex]Arc length = 2\pi r(\frac{x}{360} )[/tex]

where

r is the radius of the circle

x is the central angle of the arc

Circumference of the circle

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It is calculated as

circumference of the circle = 2πr

According to the given question we have

central angle of the arc, x = 15 degrees

Arc length = 3 cm

Let r be the radius of the given circle.

Then,

Arc length = 2πr[tex](\frac{15}{360} )[/tex]

⇒ 3 ×[tex]\frac{360}{15}[/tex]  = circumference of the circle   ( circumference or circle =2πr)

circumference of the circle = 72 cm

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-
(3/4)+1 7/8 divided by 1/2 =n

Answers

Answer:

n=1.3125/ if the (3/4) was negative the anwser would be -1.3125

Step-by-step explanation:

Answer:

n = [tex]5\frac{1}{4}[/tex]

----------------------------------------------------------------------------------------------------------

First, evaluate 3/4 + 1 7/8 without including whole numbers for now.[tex]3/4 + 7/8 =~?[/tex]

When dealing with unequal fraction denominators, find the greatest common factor of both numbers to make the denominators match.

[tex]GCF(3,4) = 2\\GCF(7, 8) = 1\\\\\frac{3 * 2}{4 * 2} = \frac{6}{8}\\\\\frac{7 * 1}{8 * 1} = \frac{7}{8}[/tex]

Next, add these two numbers together.

[tex]\frac{6}{8} + \frac{7}{8} = \frac{13}{8}[/tex]

Oh no! It looks like we have an improper fraction. To solve this, count each time the numerator passes the denominator and count that as a whole number. Like 9/8 is 1 1/8 because the numerator went over the denominator 1 time, counting the extra unit fraction.

[tex]\frac{13}{8} = 1\frac{5}{8}[/tex]

Now, add the whole numbers.

[tex]1 + 1 + \frac{5}{8} = 2\frac{5}{8}[/tex]

Last not not least, divide by one half. Since 2 5/8 is equal to 21/8, convert it to this fraction.

[tex]\frac{21}{8} / \frac{1}{2}[/tex]

Use the 2 in 1/2 and the 1 in 1/2, then multiply 2 by 21, and 8 by 1

[tex]\frac{21*2}{8*1} = \frac{42}{8}[/tex]

Finally, simplify 42/8

if 8 × 5 is 40 you can tell the number will be close to 40

[tex]\frac{42}{8} = 5\frac{1}{4}[/tex]

That said, the answer is [tex]\frac{42}{8}[/tex] and also [tex]5\frac{1}{4}[/tex]

Raina is mailing packages. Each small package costs her 2.30 to send. Each large package costs her 4.10 . How much will it cost her to send 7 small packages and 4 large packages?

Answers

Answer:

32.5

Step-by-step explanation:

Take the 2.30 and multiply it by 7. Then take 4.10 and multiply it by 4. From there you add the answers together.

In terms of π, what is the volume of the sphere?

Answers

[tex]v = \frac{4}{3} \pi \: {r}^{3} \\ [/tex]

[tex]v = \frac{4}{3} \times \pi \times ({ \frac{60}{2} })^{3} \\ [/tex]

[tex]v = \frac{4}{3} \times \pi \times {30}^{3} \\ [/tex]

[tex]v = \frac{27000 \times 4}{3} \pi \\ [/tex]

[tex]v = 900 \times 4\pi[/tex]

[tex]v = 3600\pi \: \: \: {ft}^{3} [/tex]

(t divide 3) + 1= 5 + 1

Answers

Answer:

t=15

Step-by-step explanation:

t/3 + 3/3 = 6

combine fractions w/ common denominator:

t+3/3 = 6

multiply both sides by denominator (3):

note: the two threes from 3 x t+3/3 cancel each other out

t+3=3x6

t+3=18

subtract 3 from both sides and you get 15

t=15

hope this helps :)

m∠A= 81∘; m∠B = 109∘ Are the two angles complementary, supplementary, or neither?

Answers

Answer:

neither

Step-by-step explanation:

complementary means the angles should add up to 90∘ but here in this case they add up to 190.

Supplementary means the angles add up to 180∘ but again in this case they don't.

which means the answer only has one choice.

Find the equation of
the line that cuts through (0, 5) and (1, 2)?
a. y=-3x+5
C.
y =-57+3
b. y = 3x+5
d.
Y=--X+3
Please select the best answer from the choices provided

Answers

a. y=-3x+5

Substitute your x value into the equation (found in your ordered pair).
-3(0)+5=5 ; if x = 0, y = 5
-3(1)+5=2 ; if x = 1, y = 2

need help please!!!!!!

Answers

I would go with letter A but I’m not a 100% sure

Solve for m. Please Help!

Answers

Answer:

m = 39°

Step-by-step explanation:

angles on the circumference of the circle subtended by the same arc are congruent.

∠ BDC = ∠ BAC = 33° ( both subtended by arc BC )

then ∠ ADC = 36° + 33° = 69°

Opposite angles of a cyclic quadrilateral sum to 180° , so

∠ ABC = 180° - 69° = 111°

then

m + 72° = 111° ( subtract 72° from both sides )

m = 39°

At Ashley Furniture Store, there is a marble table that you want to
purchase for your mother. The length of the table is (-8x+2) and the width
of your rug is (3x-4). What is the total area of the table? Solve the
problem using the best method. Write the answer as a trinomial.

Answers

Step-by-step explanation:

in my opinion

total area = the width × the length

= (3x-4)(-8x+2)

= -24x²+6x+32x -8

= -24x² + 38x -8

will give brainliest, thanks in advance!!

Answers

Answer:

-3+15i

Step-by-step explanation:

Apply complex arithmetic rule: [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]

[tex]\left(-3\cdot \:3-3\left(-2\right)\right)+\left(-3\left(-2\right)+3\cdot \:3\right)i[/tex]

-3 * 3 -3 (-2) = -3

[tex]-3+15i[/tex]

For f(x)= 2x + 1 and g(x) = x^2 - 7, find (f+g)(x).

Answers

Answer:

x^2+2x-6, or C

Step-by-step explanation:

We want to combine the values of both f(x) and g(x) into one equation.

We could write this as 2x+1+x^2-7

Simplified- x^2+2x-6, or C

Find the approximate volume of the cone.
o 1,017.4 cm
226.08 cm
o 324 cm

Answers

Answer:

~ 1017.4

Step-by-step explanation:

volume of a cone  1/3 pi r^2 h

1/3 pi * 9^2 * 12 = 1017.8

A circle with a radius of 6 m has an arc of 4 pi m. What is the measure of the centra angle?

Answers

Answer: Since the arc length is given (4 ) and the radius is given (6), the central angle  can be found

Arc Length = theta * r

4 pi = theta * 6 Divide by 6

4 pi / 6 = theta

theta = (2/3) pi

Step-by-step explanation:

Which set of coordinates represents the reflection of the following image over the y–axis?


A
(–6 , 2), (–4 , 8), (–2 , 2)

B
(6 , 2), (4 , 8), (2 , 2)

C
(–6 , –2), (–4 , –8), (–2 , –2)

D
(–2 , 2), (0 , 8), (2 , 2)

Answers

Answer:

B. (6,2), (4,8), (2,2)

Step-by-step explanation:

When it reflects over the y-axis (the vertical line) it is going to look the exact same just in the box on the top right. Instead of negatives in the coordinate points they are going to be positive. The only one that does this is B.

Ans: B. (6,2), (4,8), (2,2)

Multiply out and simplify (2x-3)(4-5x+x^2)

Answers

Step-by-step explanation:

reference attachment ..............

Need help with 7 and 8

Answers

Answer:

see explanation

Step-by-step explanation:

The tangent segments are equal so you set them equal to each other and solve.

7)    3x-6 = x + 10                                    8) 4x + 2 = 2x + 8

Complete part (a) and part(b) given the following system of equations. I really need help!!!
x-y=0
2x+3y=-5
a) Solve this system graphically.
b) Write your answer

Answers

Answer:

x=−1 and y=−1

Step-by-step explanation:

Solve by substitution

x−y=0;2x+3y=−5

Step: Solve x−y=0 for x:

x−y+y=0+y(Add y to both sides)

x=y

Step: Substitute yfor x in 2x+3y=−5:

2x+3y=−5

2y+3y=−5

5y=−5(Simplify both sides of the equation)

5y/5=−5/5 (Divide both sides by 5)

y=−1

Step: Substitute−1 for y in x=y:

x=y

x=−1

Answer:

x=−1 and y=−1

The solution to the system is x = -1.8 and y = -1.8.

What is a system of equations?

A group of two or more equations that must be solved simultaneously make up a system of equations. There are many unknown variables in a system of equations, and each equation in the system depicts the relationship between those variables.

A set of variable values that satisfy every equation in a system of equations is the solution to the system of equations.

To solve this system of equations graphically, we can plot the two equations on a coordinate plane and find the point where they intersect, which represents the solution to the system.

a) To plot the equation x - y = 0, we can rearrange it to y = x and plot the line passing through the origin and the point (1, 1), as shown below:

Graph of the line y = x passing through the origin and the point (1, 1).

To plot the equation 2x + 3y = -5, we can rearrange it to y = (-2/3)x - 5/3 and plot the line passing through the points (-2, 1) and (1/3, -5/3), as shown below:

Graph of the line y = (-2/3)x - 5/3 passing through the points (-2, 1) and (1/3, -5/3).

b) The point where the two lines intersect is the solution to the system. From the graph, we can see that this point is approximately (-1.8, -1.8).

Therefore, the solution to the system is x = -1.8 and y = -1.8.

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What is the value of the expression
below when a
8, b = 16, and c = -4 ?

Answers

Answer:

35

Step-by-step explanation:

5*³√8-(-4)*√16+9=5*2+4*4+9=35

Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine! Payton is overcome with emotion and needs your help to save her dog. You can repel down and successfully rescue Willow, but you must calculate how much rope is needed.

The ravine is 153 feet deep the repel line will be the diagonal distance from the top of the ravine to Willow The anchor and repel line form a 35 degree angle; this is angle A in the image below.

(a) Calculate the length of the repel line using one of the 3 trigonometry ratios taught (sin, cos, tan) Round your answer to the nearest whole number. Show all needed math for calculating this length.

Answers

The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.

How to calculate the length?

From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.

The length will be calculated thus:

Cos 35° = 153/AC.

AC = 153/cos 35°

AC = 153/0.819

AC = 186.78 feet.

Therefore, the length is 186.78 feet.

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A graph has the two points (2, 110) and (4, 220). What is the rate of change?​

Answers

Answer:

55

Step-by-step explanation:

220-110

110/2=55

Given that f(x) = 3x + 3 and g(x)=x2- 2x-5, find (g of)(4).

(gof)(4)=0

(Simplify your answer. )

Answers

Answer:

-5=0

Step-by-step explanation:

g(4)=8-8-5=-5 you substitute 4 into x

-5=0

Determine the equation of the circle graphed below.
10
8
-10 -8
8
-6
-2
F
4
2
N
T
-6.
2
10

Answers

Answer:

[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]

Step-by-step explanation:

From the graph we can see that

Diameter = 6 units

=> Radius = 3 units and centre is at (-3,7)

=> Equation is Circle with centre (-3,7) and radius of 3 units will be

[tex] = > {(x + 3)}^{2} + {(y - 7)}^{2} = {3}^{2} [/tex]

[tex] = > ( {x}^{2} + 6x + 9) + ( {y}^{2} - 14y + 49) = 9[/tex]

[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]

factor the following expression
[tex]16x^{2} - 25[/tex]

Answers

[tex]16x^2-25\\\\=(4x)^2-5^2\\\\=(4x+5)(4x-5)[/tex]

PLEASE ANSWER QUICKLY Which of the following is the correct graph of the compound inequality 4p + 1 > -15 and 6p + 3 < 45?
o
7
-7 -6 -5
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
O
-7 -6 -5 -4
O
7
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
-7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10 11
- 7 -6 -5 -4 -3 -2 -1
0 1 2
3
4
5
6
7
8
9 10 11

Answers

Answer:

abce

Step-by-step explanation

correct

write 1 1/3 as a percent

Answers

Answer:

1.3

Step-by-step explanation:

⅓ put into to decimal form is a repeating decimal

Answer:

133.3333333%

Step-by-step explanation:

1 = 1.00 = 100%

1/3 = 0.3333333 = 33.33333333%

Note that the extra 3s are for repeating decimals.

slove for x 10(2x-4)=100x A.x=7 B.x=3 C.x=1/2 D.x=-1/2

Answers

Answer:

The answer is D. x=-1/2

Step-by-step explanation:

multiply the parantheses by 10 that'll give us 20x-40=100x2. move terms, that'll give us 20x-100x=403. subtract 100x from 20x, that'll give us -80x=404. divide both sides by -80, which is x=-1/2

Answer:

D. x = -1/2

Step-by-step explanation:

10(2x - 4) = 100x

1. Divide both sides by 10.

10/10 (2x - 4) = 100x/102x - 4 = 10x

2. Add 4 to both sides.

2x - 4 +4 = 10x + 42x = 10x + 4

3. Subtract 10x from both sides.

2x - 10x = 10x + 4 - 10x-8x = 4

4. Divide both sides by -8.

-8x/-8 = 4/-8x = -1/2

The answer is D.

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