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Mekhanik [1.2K]
4 years ago
9

Jeff has a density of 1000 g/mL and a volume of 25-mL. What is Jeff’s mass?

Mathematics
1 answer:
zlopas [31]4 years ago
6 0

Answer:

25,000 grams

Step-by-step explanation:

Density can be found using the following formula:

d=\frac{m}{v}

If we rearrange the formula for m, mass, we will multiply both sides of the equation by v.

d*v=\frac{m}{v}*v

d*v=m

The mass can be found by multiplying the density by the volume.

Jeff's density is 1000 grams per milliliter and his volume is 25 milliliters.

d= 1000 g/mL\\v=25 mL

Substitute the values into the formula.

m=d*v

m= 1000 g/mL * 25 mL

Multiply. When you multiply, the "mL" or milliliters will cancel out.

m= 1000 g * 25

m= 25000 g

Jeff's mass is 25,000 grams.

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a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12
TiliK225 [7]

Answer:

The water level is dropping at a rate of 0.24 ft/s

Step-by-step explanation:

Here, we simply want to calculate the change in depth (height of the cone) , given the volume change

Mathematically, we have the volume of a cone as;

V = 1/3 * π * r^2 * h

we are given dv/dt as 12 ft^3/m

dv/dh = 1/3 * π * r^2

Substituting the value for the radius, we have

dv/dh = 1/3 * 22/7 * 4^2 = 50.29

dh/dt = dh/dv * dv/dt

dh/dv = 1/(dv/dh) = 1/50.29

Thus,

dh/dt = 1/50.29 * 12

dh/dt = 0.24 ft/s

3 0
3 years ago
Solve for x.<br><br> 4x + 6 = 38<br><br> What is the answer?
sertanlavr [38]

Answer:

x = 8

Step-by-step explanation:

We solve the equation:

4x + 6 = 38

4x = 38 - 6

4x = 32

x = 32 ÷ 4

x = 8

3 0
3 years ago
Read 2 more answers
The student body of 135 students wants to elect two representatives combination or permutation
fgiga [73]

The method to use is Combination

<h3>What is combination?</h3>

Combination is a way or method of selecting items from a collection without a defined order or manner.

The formula for finding Combination is given as;

Combination = n!/ r!(n -r)!

n = 135

r = 2

Combination = 135!/ 2!(135 - 2)!

Thus, the method to use is Combination

Learn more about combination here:

brainly.com/question/11732255

#SPJ1

5 0
2 years ago
3.4(x+1.58)=-11.288 value of x.
Alexeev081 [22]

3.4(x+1.58)= - 11.288

Step 1: Distribute 3.4 to the numbers inside the parentheses (x+1.58)

3.4x + (3.4×1.58)= - 11.288

3.4x + 5.372 = -11.288

Step 2: Bring 5.372 to the right side by subtracting it to both sides

3.4x + (5.372 - 5.372 ) = (-11.288 - 5.372)

3.4x + (0) = (-16.66)

3.4x = -16.66

Step 3: Isolate x by dividing 3.4 to both sides

\frac{3.4x}{3.4}  = \frac{-16.66}{3.4}

x = -4.9

Hope this helped!

6 0
3 years ago
A cyclist averages 18.5 miles per hour. how many minutes will it take for him to complete a 125 kilometer race?
rjkz [21]
step 1
convert miles to km
1 mile is-----> 1.60934 km
18.5 miles/hour-----> 18.5*1.60934=29.77 km/hour

step 2
convert km/hour to km/minutes
29.77 km/hour--------> 29.77/60----> 0.4962 km/minutes

step 3
by proportion
0.4962 km/1 minutes=125 km/x minutes
0.4962 km----------> 1 minute
125 km-------------> x

x=125/0.4962----> x=251.91 minutes---------> x=251.9 minutes

the answer is
251.9 minutes

Alternative Method

step 1
convert km to miles
1 km is-----> 0.621371 miles
125 km-----> 125*0.621371--->77.67 miles

step 2
convert miles/hour to miles/minutes
18.5 km/hour--------> 18.5/60----> 0.3083 miles/minutes

step 3
by proportion
0.3083 miles/1 minutes=77.67 miles/x minutes
0.3083 miles----------> 1 minute
77.67 miles-------------> x

x=77.67/0.3083----> x=251.9 minutes

6 0
3 years ago
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