If you have 3 cups of pineapple juice, how many total cups of lunch can you make?

Step-by-step explanation:

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?

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You have two points relating fuel and weight.

(15,2187) and (35,2303)

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slope = (2303-2187)/(35-15) = 5.8

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intercept = ?

2187 = 5.8*15 + b

b = 2100

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Equation:

f(x) = 5.8x + 2100

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f(50) = 2390 lbs.

====================

Answer:

A8 = 66 [8th term]

Step-by-step explanation:

Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)

To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.

So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.

The eighth term of the arithmetic sequence is 66.

Given that,

Based on the above information, the calculation is as follows:

An = 10n - 14

= 10(8) - 14

= 80 - 14

= 66

Therefore we can conclude that the eighth term of the arithmetic sequence is 66.

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Answer:

a) The number is:

0.73652913

There are 8 digits after the decimal point, then we need to multiply and divide by: 100,000,000 (8 zeros at the right of the 1)

0.73652913 =  0.73652913*(100,000,000)/(100,000,000) = 73,652,913/100,000,000

So we wrote this as a fraction of two integers.

b) The number is:

0.746746...

Where the periodic part is 746.

the periodic part has 3 digits, then we can do:

0.746746...*1000 = 746.746746....

Now we can subtract the number itself to get:

746.746746... - 0.746746... = 746

And what we did is:

N*1000 - N = N*999

Then to transform the number into a quotient of integers, we can multiply and divide by 999.

0.746746... = 0.746746...*(999)/(999) = 746/999

That is a quotient of two integers, so 0.746746... is a rational number.

Answer:

the first one

Step-by-step explanation:

Answer:

18,675,630

Step-by-step explanation:

1.take 789^6 and multiply to get 4,734

2.take 789^5 and multiply to get 3,945

3.take the 2 products (4,734 and 3,945)and multiply to get 18,675,630

if this is not the right answer i'm sorry

9514 1404 393

Answer:

  A, D, E

Step-by-step explanation:

When the graph of a relation is a straight line, the relation is said to be "linear." When the graph of the line goes through the origin (x, y) = (0, 0), then the relation is both "linear" and "proportional."

The "rate of change" of a line is the ratio of "rise" to "run". On a graph of a line, it is convenient to determine "rise" and "run" using points where the line crosses grid intersections. Of course, there is a crossing here at (0, 0). We notice another grid intersection crossing at the point corresponding to x=2 and y = -6. Then the "rise" (y-change) divided by the "run" (x-change) is ...

  rate of change = rise/run = -6/2 = -3

__

The equation of a line representing a proportion is of the form ...

  y = kx

for some constant k. That constant is the "rate of change" of the proportion. Here, we found that rate of change to be -3, so the equation of the line is ...

  y = -3x

Answer:

67

Step-by-step explanation:

m<1 and m<3 are the same so subtract 113x2, or 226

subtract 360 from 226

m<2+m<4=134

divide by 2 coz m<2 and m<4 are the same as well

m<4= 67

Answer:

1. 0

3. 17/20

5. 1/21

7 1 7/20

9. 1 7/30

11. 29/40

17. 1/6

13. 4/35

15. 1 1/3

Step-by-step explanation:good luck I hope I didn’t get any wrong

Answer:

the cosine expressions are reversed

Step-by-step explanation:

edge 2020

Answer:

Mr. Alcazar baked 810 cookies.

Step-by-step explanation:

Given that Mr. Alcazar bakes 6 batches of 60 cookies and five batches of 90 cookies, to determine the amount of cookies that he cook, the following calculation must be performed:

(6 x 60) + (5 x 90) = X

360 + 450 = X

810 = X

Therefore, according to the calculation that has been made, Mr. Alcazar baked 810 cookies.

Answer:

Step-by-step explanation:

In math some strengths are strong number sense, like being able to quickly compare groups of items and know which is larger and which is smaller. Weakness in math are incomplete mastery of number facts and difficulty transferring knowledge along with making connections.

Answer: C.5.60 miles

Step-by-step explanation:

I don’t know the explanation but I got it correct on a test that I was taking...

Rick ran 5.60 miles on Thursday at the speed of 5.60 miles per hour.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

Distance covered by Rick in 3/4 hour on Wednesday = 4.2 miles,

Also, Rick ran for 1 hour on Thursday at the same speed as Wednesday.

The speed on Wednesday = 4.2 / (3/4) = 5.6 miles / hour

Since, the speed is same on Thursday,

So the speed on Thursday = 5.6 miles per hour

The distance covered in 1 hour = 5.60 miles.

Hence, option (C) is correct.

The image of complete question is shown below.

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The length of the kites longer diagonal will be 40 units. Option C is correct.

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.

The digrame attached shows the length of all the sides as;

AB=37 units

BE = 12 units

BD = 13 units

BE = 12 units

To find:

The length of the kite’s longer diagonal, AD

From the figure it is observed the longest diagonal is the addition of  the sides from the top of the triangle as;

From the triangle, AEB, according to Pythagoras theorem,

h²=p²+b²

AE² = AB²-BE²

AE²=37²-12²

AE=35 units

From the triangle according to Pythagoras theorem,

h²=p²+b²

DE²=BD²-BE²

DE²=13²-12²

DE = 5 unit

The length of the kites longer diagonal will be the sum of the two sides;

AD = AE+ED

AD= 35 + 5

AD = 40 units

The length of the kites longer diagonal will be 40 units.

Hence option C is correct.

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Answer:

y=2/3x+8/3

Step-by-step explanation:

Here ya go!!

Answer:

105 students

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Answer:

C.3(x + 2) can be rewritten as 3x + 6

Step-by-step explanation:

Given 3(x+2)

Evaluating the expression by opening the parenthesis;

3(x+2) = 3(x) + 3(2) Distributive law

3(x+2) =3x + 6

Hence 3(x+2) is equivalent to 3x+6

Hence the correct answer is C.3(x + 2) can be rewritten as 3x + 6

Answer:

y = 3/5x - 4.4

Step-by-step explanation:

let equation if the line be y = 3/5x + b

sub (-6, -8):

-8 = 3/5(-6) + b

b = -4.4

therefore, equation of the line: y = 3/5x - 4.4

Topic: Coordinate Geometry

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

38 inches.

(3 x 12) + 2 = 38 inches.

Answer:

20 degrees

Step-by-step explanation:

If ZWV = 115 then ZYX = 115.

115 + 45 = 160, 180 - 160 = 20

Answer:

Please check the explanation.

Step-by-step explanation:

'3 meals a day' is a unit rate because there is a 1 in the denominator.

A unit ratio is a fraction between two dissimilar units with a denominator 1.

'3 meals a day' indicate that someone is eating 3 meals in one day.

i.e. unit rate = 3 meals / per day

Therefore, we conclude that '3 meals a day' is a unit rate because there is a 1 in the denominator.

The unchanging value of the ratio between the two proportional quantities is called a constant of proportionality.

For example,

we know that the equation

[tex]y=kx[/tex]

where [tex]k[/tex] is the constant of proportionality and '[tex]y[/tex]' and '[tex]x[/tex]' are two proportional quantities, directly proportional to each other.

Thus, The unchanging value of the ratio between two proportional quantities is called the constant of proportionality.

Answer:

Label theta as the missing length. You are solving circle segment so use the formula

Area of Segment =  θ − sin(θ)2 × r2   (when θ is in radians)

Area of Segment = (  θ × π360 −  sin(θ)2  ) × r2   (when θ is in degrees)

So the answer would be 7.68

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

19.20 = 320x (suppose x = tax rate)

Divide both sides by 320

x = .06 or 6%

The slope is -1/6.

Using the slope formula m = (y₂-y₁)/(x₂-x₁),

m = (6-7)/(9-3) = -1/6

Because the slope is negative, the line is decreasing.

Answer:

If each book cost $20.45 then you times it by 21 and the answer you would get is 429.45

Step-by-step explanation:

im 99% that its correct

Answer:

He should expect to spend as much as 429.45 (to be exact)

Step-by-step explanation:

It's really just simple math $20.45 multiplied by 21 is 429.45 (:

I'm sorry if I'm wrong. Have a great day and good luck!