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svetoff [14.1K]

3 years ago

15

The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool

at a rate of 150 gallons per minute. Use paper to show your work for the questions below

1 answer:

Oxana [17]3 years ago

3 0

Answer:

answer: 5

Step-by-step explanation:

this is simple soo yea

you divided 150 and 30 and it will give you 5

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John made this model to show \frac{4}{7}\times\frac{13}{9} 7 4 × 9 13 Using John's model, what is \frac{4}{7}\times\frac{13}

harkovskaia [24]

Answer:

$\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}$

Step-by-step explanation:

Given

See attachment for model

Required

Determine $\frac{4}{7}\times\frac{13}{9}$ from the model

The model is represented by:

$\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}$

To get: $\frac{4}{7}\times\frac{9}{9}$ , we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 36 ---- this represents the numerator

So, we have:

$\frac{4}{7}\times\frac{9}{9} = \frac{36}{63}$

To get: $\frac{4}{7}\times\frac{9}{9}$ , we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator

So, we have:

$\frac{4}{7}\times\frac{4}{9} =\frac{16}{63}$

The equation becomes:

$\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}$

$\frac{4}{7}\times\frac{13}{9} = \frac{36}{63} + \frac{16}{63}$

$\frac{4}{7}\times\frac{13}{9} = \frac{36+16}{63}$

$\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}$

5 0

3 years ago

Which ordered pairs are solutions to the inequality 2x+3y≥−1 ?

Pavlova-9 [17]

There are many pairs that are solutions to this inequality. You can find them all by graphic this on a coordinate plane and then shading the region.

You can also plug any of the ordered pairs that they give you into the equation and see if they produce a true statement.

7 0

4 years ago

This is 22 points

AURORKA [14]

Let the initial number of girls be x, this represents 40% of the dancers.
Total number of dancers will therefore be:
100/40*x=2.5x
When 15 more girls joined, the new number of girls was:
x+15 this represents the total percentage of 52%. The new number of dancers became:
2.5x+15:
therefore the new percentage of girls can be expressed as follows:
(new number of girls)/(new number of dancers)×100
(x+15)/(2.5x+15)×100=52
(x+15)/(2.5x+15)=0.52
x+15=0.52(2.5x+15)
x+15=1.3x+7.8
15-7.8=1.3x-x
7.2=0.3x
x=7.2/0.3=24
The number of students after additional number of girls will be:
2.5x+15
=2.5×24+15
=60+15
=75 students

4 0

3 years ago

Read 2 more answers

What is the volume of the given shape? Leave answer in terms of π.

kodGreya [7K]

Volume of a cone = (PI * radius^2 * height) / 3

Volume of a cone = (PI * 3^2 * 8) / 3

Volume of a cone = (PI * 24)

Cylinder Volume = PI • r² • height

Cylinder Volume = PI * 3^3 * 12

Cylinder Volume = PI * 108

TOTAL Volume = PI * 132

8 0

3 years ago

dusya [7]

I think the sum is supposed to be

$\displaystyle\sum_{n=1}^4\frac n{n!}=\sum_{n=1}^4\frac1{(n-1)!}$

since $n!=n\cdot(n-1)!$ . Then

$\displaystyle\sum_{n=1}^4\frac1{(n-1)!}=\frac1{0!}+\frac1{1!}+\frac1{2!}+\frac1{3!}$

and $0!=1$ by definition so that the sum has a value of $\dfrac83$ .

5 0

3 years ago