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BigorU [14]
3 years ago
6

you have a 20 ounce bottle of juice. you pour out 1/4 of the bottle to share with a friend. if your our out 3 ounces for yoursel

f, what fraction of the 20 ounces will be left in the bottle?
Mathematics
1 answer:
seropon [69]3 years ago
5 0
12 ounces will be left in the bottle

Turn the 1/4 into a decimal which is 0.25 and times that by 20 and you’ll get 5, 5 is the amount of ounces you poured for your friend. Subtract 20 ounces by 5 ounces and you’ll get 15 ounces, then subtract 15 by 3 which is the amount of juice you poured for yourself and you’ll be left with 12 ounces in the bottle.
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Help me please!!!
34kurt

Step-by-step explanation:

sin(2x) + cos(3x)

Use double angle formula sin(2x) = 2 sin x cos x.

Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.

Substitute:

2 sin x cos x + 4 cos³x − 3 cos x

3 0
3 years ago
A gardener is planting two types of trees: Type A is 8 feet tall and grows at a rate of 3 inches per year. Type B is 7 feet tall
777dan777 [17]

Answer:

Exactly 12 years it will take for these trees to be the same height

Step-by-step explanation:

Slope intercept form: An equation of line is in the form of y = mx+b where m is the slope or unit rate and b is the y-intercepts.

Let x represents the time in years and y represents the height of the tree.

Use conversion:

1 ft = 12 inches

As per the given statement:

Type A is 8 feet tall and grows at a rate of 3 inches per year.

⇒unit rate per year = 3 inches = \frac{1}{4} ft

Then, we have;

y =\frac{1}{4}x + 8                      ......[1]

Similarly for;

Type B  is 7 feet tall and grows at a rate of 4 inches per year.

⇒unit rate per year = 4 inches = \frac{1}{3} ft

then;

y =\frac{1}{3}x + 7                   .....[2]

To find after how many years it will take for these trees to be the same height.

Since, trees to be the same height;

⇒equate [1] and [2], to solve for x;

\frac{1}{4}x + 8 = \frac{1}{3}x +7

Subtract 7 from both sides we get;

\frac{1}{4}x + 8-7= \frac{1}{3}x +7-7

Simplify:

\frac{1}{4}x + 1= \frac{1}{3}x

Subtract \frac{1}{4}x from both sides we get;

1= \frac{1}{3}x-\frac{1}{4}x

Simplify:

1 = \frac{x}{12}

Multiply both sides by 12 we get;

x = 12

Therefore, exactly it will take for these trees to be the same height is, 12 years

8 0
3 years ago
Can someone please help me(20 points will give brainliest!!!)
erica [24]
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3 0
2 years ago
If something is plentiful, possession of it will not increase your power. A resource need to be perceived as _____ to create dep
Molodets [167]

Step-by-step explanation:

if something is plentiful, possession of it will not increase your power. A resource need to be perceived as scarce to create dependency.

7 0
3 years ago
The following is an arithmetic sequence that has 10 numbers LaTeX: 1,\ a_2, \ a_3, \ a_4, \ \cdots,\ a_{10}.1 , a 2 , a 3 , a 4
Naddika [18.5K]

Answer:

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Step-by-step explanation:

The arithmetic sequence is given as: 1,\ a_2, \ a_3, \ a_4, \ \cdots,\ a_{10}

We are told that the 10 numbers add up to 100.

S_n=\frac{n}{2}(a_1+l)\\ $Where: \\n=number of terms\\l=last term\\a_1$=first term

S_{10}=100\\100=\dfrac{10}{2}(1+l)\\100=5(1+l)\\$Divide both sides by 5$\\20=1+l\\$Last term, $l=20-1=19

We know that the nth term of an arithmetic sequence

l=a_1+(n-1)d\\19=1+(10-1)d\\19=1+9d\\9d=19-1\\9d=18\\d=2

Therefore, the second number

a_2=a_1+2\\=1+2\\a_2=3

3 0
4 years ago
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