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Sonbull [250]
3 years ago
6

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

20 grams, and its density is 7.87 g/cm3. What's the larger cube's volume?
Mathematics
1 answer:
Lelu [443]3 years ago
6 0
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
let m2 be the mass of the larger cube

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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enton is shopping for clothes during a special event. He pays $24.99 for a pair of jeans and $5.25 for a clearance-priced shirt.
Marianna [84]

Answer$18.12

Step-by-step explanation:

24.99+5.25-12.12=$18.12

7 0
3 years ago
PLEASEEEE!!! What is the best first step for solving the equation -1.8 = 2z−185
Vsevolod [243]

The first step in this equation is to Subtract 18 from both sides of the equation.

5 0
3 years ago
You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial,
Alona [7]

Full question:

Linear Functions: Taking a Taxi

You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial, your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled. If you have $11 in your pocket, will you be able to take the cab 5 miles?

Answer:

Cannot go 5 miles having just $11

Step-by-step explanation:

Since the cost varies linearly with the distance that you traveled, to model the linear function for this problem we know that

1 mile = $4.75

And so to go x miles, we require $4.75x

Equation can therefore be modelled thus :

y=4.5x

Where y = total cost of transport in dollars

x= cost in dollars per mile

To find out if we can go 5 miles just having $11, we plug in 5 miles for x into the equation to find total cost of transport going 5 miles

y=4.5*5

y= $22.5

Therefore we cannot go 5 miles just having $11

3 0
3 years ago
Algebra 2 Math question Grade 11
Paha777 [63]

Answer:

\displaystyle y=\frac{4}{5}x+\frac{13}{5}

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

The points are (3,5) and (-2,1):

\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}

The equation is now:

\displaystyle y=\frac{4}{5}x+b

To calculate b, we use any of the given points and solve for b. Use (3,5):

\displaystyle 5=\frac{4}{5}3+b

Operate:

\displaystyle 5=\frac{12}{5}+b

Solve:

\displaystyle b=5-\frac{12}{5}=\frac{13}{5}

The required equation of the line is:

\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}

3 0
4 years ago
The sum of 5xy and (2xy + xy) is
AleksAgata [21]
8xy that is the answer
4 0
3 years ago
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