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2 years ago

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Jo is on the phone with a gardener who asks about the square feet of Jo's backyard. Jo counts 20 steps long and 40 steps wide (w

ith
each step being about 3 feet). About how many square feet is the backyard?

1 answer:

Sever21 [200]2 years ago

4 0

Hey there!

Each step is three feet. This can be represented by 3s= feet. We can plug that in to figure out our side lengths.

20(3)=60

40(3)=120

Now we can multiply these two together to get the area.

120(60)= 7,200

Therefore, his backyard is about 7,200 square feet.

I hope this helps!

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Dylan has two cubes of iron. The larger cube has twice the mass of the smaller cube. He measures the smaller cube. It's mass is

Lelu [443]

Density $\rho$
is given by $\rho = frac{m}{V}$
where m is the mass of the object
V is the Volume of the object

let m1 be the mass of the smaller cube
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you know that the larger cube has twice the mass of the smaller cube
or m2=2*m1

so apply this information into the density equation and you can determine the volume of the larger cube

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1 year ago

Andrew has a fish tank in the shape of a rectangular prism, and he needs to know the volume of water necessary to fill the tank.

Alex

Answer:

The correct option is D.

Step-by-step explanation:

Domain is the set of all posible

The volume of a rectangular prism is

$V=\text{Base area}\times height$

where,

$\text{Base area}=length\times width$

Dimensions can not be negative. So, the width and volume are always positive.

From the graph it is noticed that

In interval $(-\infty, -5)$ , width and volume is negative, so $(-\infty, -5)$ interval is not the domain.

In interval (-5,0), width is negative, so (-5,0) interval is not the domain.

In interval (0,3), volume is negative, so (0,3) interval is not the domain.

In interval $(3,\infty)$ , width and volume is negative, so $(3,\infty)$ interval is not the domain.

Therefore the correct option is D.

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2 years ago

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Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data

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2 years ago

A theatre has the capacity to seat people across two levels, the Circle and

andriy [413]

Answer: $76.19\%$

Step-by-step explanation:

<h3> The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and $\frac{2}{3}$ of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>

Let be "s" the total number of seats in the Stalls.

The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is $2:5$ .

Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

$\frac{2}{5}=\frac{528}{s}$

Solving for "s", we get:

$s*\frac{2}{5}=528\\\\s=528*\frac{5}{2}\\\\s=1,320$

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:

$Total=1,320\ seats+528\ seats=1,848\ seats$

We know that $\frac{2}{3}$ of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

$(1,320)(\frac{2}{3})=880$

Therefore, the total number of seats that were occupied las Friday is:

$Total\ occupied=880\ seats+528\ seats=1,408\ seats$

Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:

$\frac{100}{1,848}=\frac{p}{1,408}$

Solving for "p", we get:

$(1,408)(\frac{100}{1,848})=p\\\\p=76.19\%$

8 0

1 year ago

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mash [69]

Answer:

Part a) $y=-2x+4$

Part b) The coordinates of the point are $(\frac{4}{3},\frac{4}{3})$

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

$m=(0-4)/(2-0)=-2$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-2\\b=4$

substitute

$y=-2x+4$

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

$y=-2x+4$

substitute

$x=-2x+4\\3x=4\\x=\frac{4}{3}$

$y=x=\frac{4}{3}$

therefore

The coordinates of the point are $(\frac{4}{3},\frac{4}{3})$

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1 year ago