Gabrielle needs 12 cups of pineapple
juice for the fruit punch she is
making. The pineapple juice costs
$2.50 per quart. How much will
Gabrielle pay for the pineapple juice?

I’m really struggling can I have some explanations on this please?

Answer:

Maggie is 13years old

Step-by-step explanation:

Let the age of Maggie be = x

Let her brothers age be = y

Given:

Brother is 7 years younger than twice her age , y = 2x - 7  --------- ( 1 )

[ Twice her age = 2x

7 years younger than twice her age = 2x - 7 ]

Sum of their ages , x + y = 32 -------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

x + ( 2x - 7 ) = 32

x + 2x - 7 = 32

3x = 32 + 7

3x = 39

x = 13

Maggie's age  = 13 years

Substitute x in ( 1 ) :

y = 2x - 7

  = 2 ( 13 ) - 7

  = 26 - 7

  = 19

Brother's age = 19 years

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

Explanation:

For now, let's consider we can only select 2 classes instead of 4. Let's say we only had to worry about PE and history.

Let A,B,C,D,E represent the five PE classes.

Let F,G,H,I,J,K represent the six history classes.

If you arrange the letters in a table, you should get 5*6 = 30 different inner boxes of the table. Refer to the diagram below.

Each two letter code in the table represents the 2 class combo. For example, BG means you picked PE class B and history class G.

This idea can be extend to selecting 3 classes. Imagine that each of the codes in the table are laid along the side of a new table. So we'd have a table of 30 rows. Then lay out 5 columns (say with letters L,M,N,O,P) to represent the 5 English classes. You would get a table of 30*5 = 150 different combos here. Of course you shouldn't actually make such a table since it's so large, but I'm simply just saying for you to imagine one. All of the tables mentioned are completely optional. A tree diagram is another way to organize things, though tree diagrams tend to get cumbersome.

Anyway, we would have 5*6*5 = 30*5 = 150 different ways to pick the PE, history and English classes. We can extend this out to include the math classes as well.

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

In short, all we do is multiply the given values together:

5*6*5*3 = 30*15 = 450

This idea is known as the counting principle.

Answer:

(CH2)n(OH)3

hope it helps

Thank you

Step-by-step explanation:

Step-by-step explanation:

length of arc=2πr(340/360)

= 2x3.14x3(0.944)

=17.78 approximately 17.8

Answer:

[tex]54000 \times 1200 = 64800000 = 6.48 \times 10^{7}[/tex]

The result of 54,000 × 1,200 in scientific notation is written as [tex]6.48[/tex] ×[tex]10^{7}[/tex].

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

According to the question

We have , 54,000×1,200

Therefore,

The the result 54,000× 1,200 in scientific notation is given by

54,000 × 1,200

= 64,800,000

= [tex]648[/tex] × [tex]10^{5}[/tex]

= [tex]6.48[/tex] × [tex]10^{7}[/tex]

Hence, the result of 54,000×1,200 in scientific notation is written as [tex]6.48[/tex]×[tex]10^{7}[/tex].

Learn more about scientific notation here:

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Answer:

[tex]x=-1+\sqrt{6 }[/tex]

[tex]x=-1-\sqrt{6 }[/tex]

Step-by-step explanation:

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

x² + 2x - 5 = 0

a = 1

b = 2

c = - 5

[tex]x=\frac{-2±\sqrt{2^{2}-4((1)(-5)) } }{2(1)}[/tex]

[tex]x=\frac{-2±\sqrt{4-4((1)(-5)) } }{2(1)}[/tex]

[tex]x=\frac{-2±\sqrt{4+20 } }{2(1)}[/tex]

[tex]x=\frac{-2±\sqrt{24 } }{2}[/tex]

[tex]x=\frac{-2±\sqrt{(2)(12) } }{2}[/tex]

[tex]x=\frac{-2±\sqrt{(2)(2)(6) } }{2}[/tex]

[tex]x=\frac{-2±\sqrt{(2)(2)(2)(3) } }{2}[/tex]

[tex]x=\frac{-2±(\sqrt{2} )(\sqrt{2})(\sqrt{(2)(3) )} }{2}[/tex]

[tex]x=\frac{-2±2\sqrt{6 } }{2}[/tex]

Two separate equations

[tex]x=\frac{-2+2\sqrt{6 } }{2}[/tex]

[tex]x=\frac{-2-2\sqrt{6 } }{2}[/tex]

[tex]x=-1+\sqrt{6 }[/tex]

[tex]x=-1-\sqrt{6 }[/tex]

9514 1404 393

Answer:

  781.4 cm²

Step-by-step explanation:

The shaded region consists of four (4) 30° sectors and eight (8) 60° segments. The formulas for the areas of these figures can be used.

  area of sector = (1/2)r²θ

  area of segment = (1/2)r²(θ -sin(θ))

For radius r, the area of the 4 sectors is ...

  sector area = 4(1/2)(r²)(π/6) = (π/3)r²

and the area of the 8 segments is ...

  segment area = 8(1/2)(r²)(π/3 -sin(π/3)) = 4r²(π/3 -√3/2) = (4/3)πr² -r²(2√3)

So, the total shaded area is ...

  shaded area = r²(π/3 +4π/3 -2√3)

The radius of the circle is 21 cm, so the shaded area is ...

  (21 cm)²(5π/3 -2√3) ≈ 781.4 cm²

Refer to the attachment for answer...

Answer:

d = 67.5

e = 22.5

Step-by-step explanation:

d + e = 90

d = 3e

Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.

Hope that this helps!

Answer:my guess would be A because B and D there was already a start-up salary of 110$, but it could be c, i just wanted to choose the simplest answer choice.

Step-by-step explanation: it just makes sense that it is not B or D

The recursive formula that could be used for measuring the total amount of money is f(n+1) = f(n)+20.

A recursive is a type of function or expression stating some concept or property of one or more variables, which is specified by a procedure that yields values or instances of that function by repeatedly applying a given relation or routine operation to known values of the function.

Given that,

The electrician earns $110.

And the sequence should be 110, 130, 150, 170, and so on.

Here we assume that f(x) represent pay.

And x be the number of hours worked.

Based on the above information, we can see that there are 20 increments in every next number.

So, the equation should be f(n+1) = f(n)+20

hence, the recursive formula that could be used for measuring the total amount of money is f(n+1) = f(n)+20.

Learn more about recursive formula click;

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Answer:

14

Step-by-step explanation:

24/16 = 21/x

(24/16) • 21 = 14

Answer: I’m pretty sure it’s 14

Step-by-step explanation:

Answer:

x = 4ft

Step-by-step explanation:

[tex]by \ Pythagoras \ theorem : \\x^2 = 3^2 + 3^2 \\\\x^2 = 9 + 9 = 18\\x = \sqrt{18} = \sqrt{2 \times 3 \times 3} = 3\sqrt{2}\ = 4.24 = 4ft[/tex]

Step-by-step explanation:

simple

multiples of 6= 1, 2, 3, 6

multiples of 12= 1, 2, 3, 4, 6, 12

.L.C.M of 12 and 6= 12

Answer:

a and b bc that are in the negative-positive quad

Answer:

n=35

Step-by-step explanation:

2n=70

n=70/2

n=35

Answer:

The first part is B= -2t + 95.

Step-by-step explanation:

Every hour the battery drops by 2 so the equation is

current battery charge= (time)(-2)+(starting battery charge)

Answer:

x = 7

Step-by-step explanation:

2x - 3 = x +4

x = 7

Answer:

First multiply the first two terms so (-0.5)(-1.2) = 0.6 as product of two negative numbers is positive number.

Step-by-step explanation:

Im BIg BrAiN :D

Answer:

$156

Step-by-step explanation:

(9600 + 5376 )/ (8 * 12) = 156

Answer:

$156

Step-by-step explanation:

interest for 8 years = $5376

convert 8 years to months

1 year = 12 month

8 years = 8*12

=96 months

monthly

now monthly interest = $5376/96

=$56

now find amount that he has to pay monthly

=$9600/96

=$100

monthly payment with interest = $100 + $56

=$156

Answer:

the value of x is 11 as per my calculation

Answer:

7/4 inches

Step-by-step explanation:

Longest bean sprout = 8/8 + 8/8

Longest bean sprout = 1 + 1

Longest bean sprout = 2

Shortest bean sprout = 2/8

Difference = 2 - 2/8

Difference  = (16-2)/8

Difference  = 14/8

Difference = 7/4

Hence the distance is 7/4 inches

Answer:

Step-by-step explanation:

f(9)=5(9-3)(9-2)

=5*6*7

=210

Answer:

f(9) = 210

Step-by-step explanation:

In f(x) = 5(x-3)(x-2), replace each instance of x with 9:

f(9) = 5(9-3)(9-2), or:

       =5(6)(7) = 210

Answer:

B is the answer to this question