The amount of orange juice in a bottle is modeled by the equation y=128-8x, where y is the number of ounces of juice in the bottle, and x is the number of servings or juice poured from the bottle.

How many servings are in a bottle?

Answer:

Step-by-step explanation:

B

90/20=4.5

Answer:

41

Step-by-step explanation:

I am essentially going through every multiply of 12 and then adding 5 to it, because we are using the rule that it should have a remainder of 5. It should also be a remainder of 5 if divided by 6 and 9 as well.

12 + 5 = 17

17/6 = 2 R 5

17/9 = 1 R 8

24 + 5 = 29

29/6 = 4 R 5

29/ 9 = 3 R 2

36 + 9 = 41

41/6 = 6 R 5

41/9 = 4 R 5

Hence, the number is 41

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Answer:

Step-by-step explanation6:

Answer:

False i just did it

Step-by-step explanation:

Answer:

interest = $600

Step-by-step explanation:

for simple interest,

I = PTR/100

Principal (P) = $5000

Time (T) = 3 YEARS

Rate(R) = 4%

therefore, Interest (I) = $5000 × 3 × 4 / 100

                                  = $ 600

Answer:

Equations would be;

30 + 50 + y = 180

and

y = 180 - 80

Additional:

If you are looking for y and u value then here they are:

y = 100°

u = 25°

Hope this helps!

Step-by-step explanation:

To get the x-intercept, set y = 0. Then solve for x:

[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]

Therefore, the x-intercept is

[tex]( \sqrt{2} \: \: \: \: 0)[/tex]

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

Answer:

[tex]y - y' = m(x - x') \\ (x - x') = \frac{(y - y')}{m} \\ x = \frac{(y - y')}{m} + x'[/tex]

Answer:

9/38

Step-by-step explanation:

The odds of your drawing an even card from the deck are 10/20, or 1/2. The odds of your friend also taking an even card after (WITHOUT recplacing the card) is 9/19, which cannot be further simplified. You multiply the two -- 1/2 * 9/19 -- which results in your answer, 9/38. This is a dependent probability.

Answer:

a is 23 1/24 or 553/24 and b is 109 43/87

Step-by-step explanation:

Answer:

10, 50, 150

Step-by-step explanation:

i just did it lol.

Answer:

Gross margin= $50

Step-by-step explanation:

Giving the following information:

Selling price= $264

Unitary cost= $214

To calculate the gross margin, we need to deduct from the selling price the unitary cost:

Gross margin= selling price - unitary cost

Gross margin= 264 - 214

Gross margin= $50

The correct answer is 90

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

Answer: 30.9

Step-by-step explanation:

Delta math

The area of parallelogram is 30.9 ft²

The area of a parallelogram is defined as the region or space covered by a parallelogram in a two-dimensional plane. A parallelogram is a special kind of quadrilateral. If a quadrilateral has two pairs of parallel opposite sides, then it is called a parallelogram.

Let the sides of a parallelogram a, b and height h.

Now the area of parallelogram= a*h

given data are

angle between two sides =107°

and sides are a=8.5 feet and b=3.8 feet

The height of the parallelogram [tex]h= bsin\alpha[/tex]

now height [tex]h= 3.8*sin107\\h=3.634 feet[/tex]

Now the area of parallelogram = 8.5*3.634

Now the area of parallelogram=30.9 ft²

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Answer:

HL

Step-by-step explanation:

We are dealing with triangle DAB and CBA.

Angles DAB and CBA are right angles making the triangles right triangles.

Side AB is congruent to side BA. That is a leg of each of the two triangles.

Side DB is congruent to side CA. Tat is a leg of each triangle.

The triangles are congruent by HL.

Answer:

1. 15

2. 13

3. -9

4. 5

5. 31

just put the values in the given equation.

:)

Answer:

y = 3x + 1

Step-by-step explanation:

The way you find slope is change in y over change in x, (as a fraction).

So then your equation is y = 3x because the y value goes up 3 times and the x goes up once (3/1), and then you see what value y has when x = 0 to find the b value, which is one.

Answer:

5 inches

Step-by-step explanation:

add all them and divide by 5.

Answer:

0.4762 = 47.62% probability that this bulb was produced by factory A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Bulb is defective.

Event B: Produced by factory A.

Probability of a bulb being defective.

5% of 40%(factory A)

3% of 20%(factory B)

4% of 40%(factory C). So

[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]

Defective and from factory A:

5% of 40%. So

[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]

What is the probability that this bulb was produced by factory A?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]

0.4762 = 47.62% probability that this bulb was produced by factory A

x ^2 + y ^2 = 9   =>   y = y(x) = ± √(9 - x ^2)

Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is

√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)

The area of each square section is the square of this length,

(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2

We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of

[tex]\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}[/tex]

Answer:

1 is the answer

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

first, you divide 28 by 7 and get 4, then multiply 4 by 1 which is 4, finally divide 4 from 4 with is 1

((28/7)*1)/4=1

Answer:

A .part of a line that has two end points

Answer:

https://www.wolframalpha.com/widgets/view.jsp?id=ecc4c3ee7c6b1f12d078f6541a983c2d

use that it will give you a step by step answer.

" StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot "is

(X^7/2)(y^-3/5) which is expressed as Option A (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)

This is further explained below.

Generally, An expression, often known as a mathematical expression, is a finite collection of symbols that is well-formed according to principles that are dependent on the context in which the expression is being used.

In conclusion, The expression equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot is

(X^7/2)(y^-3/5) hence  (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) Option A.

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CQ

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot?

Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline).

Answer:

A

Step-by-step explanation:

Answer:

2 5/8 boxes of cereal in one week

Answer:

29, 35, 41

Step-by-step explanation:

The difference is always 6

Answer:

The integer can be -1 or 5.

Step-by-step explanation:

Let an integer is x.

ATQ,

The square of an integer is 5 more than 4 times the integer.

[tex]x^2=5+4x[/tex]

or

[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]

It is a quadratic equation. Using middle term splitting,

[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]

So, the integer can be -1 or 5.

If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5

Let the unkown integer be "x"

The square of an integer is expressed as x^2

5 more than 4 times the integer is expressed as [tex]4x +5[/tex]

Equate both expressions to have:

[tex]x^2 = 4x + 5\\[/tex]

Equate to zero and factorize:

x^2 - 4x - 5  = 0

x^2 - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1 and 5

Hence the integers are -1 and 5

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