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strojnjashka [21]
3 years ago
5

The volume of liquid in a beaker decreases at a rate of 3.25 mL/h. What is the change in the volume of the liquid in the beaker

after 6 h?
The change in volume after 6 h is _____ mL.
Mathematics
2 answers:
luda_lava [24]3 years ago
8 0
The volume of the beaker after is 6 hours is 19.5
meriva3 years ago
3 0
You do 6 times 3.25= 19.5 mL
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Right triangle ABC and right triangle ACD overlap as shown below. Angle DAC measures 20 degrees and angel BCA measures 30 degree
alexdok [17]

The image of the question is attached below.

Given:

m∠DAC = 20° and m∠BCA = 30°

m∠ABC = 90° and m∠CDA = 90°

To find:

The value of x and y.

Solution:

In right triangle ABC,

m∠BAC = x° + 20°

Sum of the interior angles of a triangle = 180°

m∠BAC +m∠ABC + m∠BCA = 180°

x° + 20° + 90° + 30° = 180°

x° + 140° = 180°

Subtract 140° from both sides.

x° + 140° - 140° = 180° - 140°

x° = 40°

In right triangle ADC,

m∠ACD = y° + 30°

Sum of the interior angles of a triangle = 180°

m∠ACD +m∠CDA + m∠DAC = 180°

y° + 30° + 90° + 20° = 180°

y° + 140° = 180°

Subtract 140° from both sides.

y° + 140° - 140° = 180° - 140°

y° = 40°

The value of x is 40 and y is 40.

6 0
3 years ago
My pigg y bank has only pennies and nicklels in it , and 2/7 of the coins are nickel If i remove 84 pennies then 1/3 of the reme
zubka84 [21]

Answer:

There are 105 pennies in the piggy bank.

There are 42 nickels in the piggy bank.

Step-by-step explanation:

there are:

p pennies in the piggy bank

n nickels in the piggy bank

Then we can define T, the total number of coins, as:

T = p + n

We know that 2/7 of the total number of coins are nickels.

This can be written as:

n = (2/7)*T = (2/7)*(n + p)

And if we remove 84 pennies, 1/3 of the remaining coins are pennies.

This can be written as:

p - 84 = (1/3)*(n + p - 84)

Then we have a system of two equations:

n = (2/7)*(n + p)

p - 84 = (1/3)*(n + p - 84)

Let's solve the system, to do it, we first need to isolate one of the variables in one of the equations.

We can isolate n in the first one, to get:

n = (2/7)*(n + p) = (2/7)*n + (2/7)*p

n - (2/7)*n = (2/7)*p

n*(5/7) = (2/7)*p

n = (7/5)*(2/7)*p = (2/5)*p

n = (2/5)*p

Now we can replace this in the other equation:

p - 84 = (1/3)*(n + p - 84)

p - 84 = (1/3)*( (2/5)*p + p - 84)

Let's solve this for p

p - 84 = (1/3)*( (7/5)*p - 84)

3*(p - 84) = (7/5)*p - 84

3p - 252 = (7/5)*p - 84

3*p - (7/5)*p = 252 - 84

(15/5)*p - (7/5)*p = 168

(8/5)*p = 168

p = (5/8)*168 = 105

There are 105 pennies in the piggy bank.

And we know that:

n = (2/5)*p = (2/5)*105 = 42

There are 42 nickels in the piggy bank.

4 0
3 years ago
If a sprinkler waters 1 over 8 of a lawn in 1 over 4 hour, how much time will it take to water the entire lawn? (1 point)
gayaneshka [121]
It would take 2 hours. To complete the whole lawn you would need:
\frac{8}{8}
To make a whole, so to get that we multiply:
8 \times  \frac{1}{8}  =  \frac{8}{8}
So we use the same number required for the whole lawn, and multiply it times the hours
\frac{1}{4}   \times 8 = 2
7 0
3 years ago
Read 2 more answers
If m (AB = 120°, then which of the following have measures of 60°?
victus00 [196]
<span>∠BCA = 120 /2 = 60

answer
</span><span>∠BCA</span>
7 0
2 years ago
Read 2 more answers
PLZ HELP I GIVE BRAINLIEST!!! (Plz show work)
Triss [41]

Answer:

800 × ( 3.87 ÷ 100 ) × 1

= 30.96

3 0
3 years ago
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