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2 years ago

11

The recreation department is creating teams for baseball. 295 people have signed up. How many teams of 24 people will they be ab

le to make? Will there be anyone left over?

1 answer:

RUDIKE [14]2 years ago

4 0

Answer:

There will be 12 full teams and 7 extra people.

Step-by-step explanation:

Please mark me Brainliest

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How do you find the x intercepts of 3x^(5/3) - 4x^(7/3)

kaheart [24]

Set the whole expression = to 0 and solve for x.

3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0

Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.

In the latter case, 4x^(2/3) = 3.

To solve this: mult. both sides by x^(-2/3). Then we have

4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as

4 3
--- = --------------------
1 x^(+2/3)

Then

4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)

Check this result! subst. 0.65 for x in the given equation. Is the equation then true?

My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?

7 0

3 years ago

Read 2 more answers

Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar

matrenka [14]

Answer:

The height of the tree is

18.67

feet

Step-by-step explanation:

Explanation:

The pole and the tree both cast shadows. The triangles which form are similar triangles, because the sun is shining from the same angle in the sky.

You can write this as a direct proportion. (height : shadow)

2 is to 1.5 as what is to 14?

2

1.5

=

x

14

←

cross multiply

x

=

2

×

14

1.5

x

=

18.67

feet

7 0

2 years ago

A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.

12345 [234]

Answer:

1) $G(t) = 75 + \frac{23}{4}t\\$

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

$\frac{150}{2} = 75 gallons$

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

$5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}$

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

$G(t) = 75 + \frac{23}{4}t\\$

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

$G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons$

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

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3 years ago

What is the value of the underlined digit? The number is 32 and the underlined digit is 2.

Lubov Fominskaja [6]

The value of the digit is 2 because the value of the 3 is 30 (tens) and if you go one place down you are in the ones

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3 years ago

Hurry which one <br> A.24<br> B.60<br> C.80<br> D.114

Stolb23 [73]

1/2 x base x height

1/2 x 6 x 8 = 24 (a)

3 0

3 years ago

Read 2 more answers