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laila [671]
2 years ago
8

If you diluted 300 mL of 8% benzocaine lotion to 5% how much could you produce

Mathematics
1 answer:
Nataliya [291]2 years ago
4 0

Answer:

you are diluting it 8/5 times, or 1.6 times.

You could make 230*1.6 ml of 5 percent lotion.

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Ms.graves gave her class 12 minutes to read. Carrie read 5 1/2 pages in that time. At what rate, in oages per hour, did Carrie r
Mila [183]

Answer:

C

Step-by-step explanation:

5 1/2 pages in 12 minutes

There are 5 sets of 12 minutes in 1 hour

5 1/2 x 5 = 27 1/2

Therefore she would read 27 1/2 pages in 1 hour

Thats essentially how i did it - sorry if its not a very good explanation.

4 0
2 years ago
A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must ho
photoshop1234 [79]

Answer:

The dimensions that minimize the surface are:

Wide: 1.65 yd

Long: 3.30 yd

Height: 2.20 yd

Step-by-step explanation:

We have a rectangular base, that its twice as long as it is wide.

It must hold 12 yd^3 of debris.

We have to minimize the surface area, subjet to the restriction of volume (12 yd^3).

The surface is equal to:

S=2(w*h+w*2w+2wh)=2(3wh+2w^2)

The volume restriction is:

V=w*2w*h=2w^2h=12\\\\h=\frac{6}{w^2}

If we replace h in the surface equation, we have:

S=2(3wh+2w^2)=6w(\frac{6}{w^2})+4w^2=36w^{-1}+4w^2

To optimize, we derive and equal to zero:

dS/dw=36(-1)w^{-2} + 8w=0\\\\36w^{-2}=8w\\\\w^3=36/8=4.5\\\\w=\sqrt[3]{4.5} =1.65

Then, the height h is:

h=6/w^2=6/(1.65^2)=6/2.7225=2.2

The dimensions that minimize the surface are:

Wide: 1.65 yd

Long: 3.30 yd

Height: 2.20 yd

8 0
2 years ago
How many leap years occur between the<br> years 1700 and 1875?
Zina [86]

Step-by-step explanation:

A leap year occurs every 4th year.

So, 1875 - 1700 = 175

Now let us divide 175 by 4

175 \div 4 = 43.75 \\  here \: 43 \: represents \: the \: number \: of \:  \\ leap \: years.

So, 43 leap years occur between the years 1700 and 1875.

6 0
2 years ago
Jacqueline earned a commission of $200 for one week at work. her commission rate is 12% of the merchandise she sells. how much m
guajiro [1.7K]

For this case, the first thing we must do is define variables.

We have then:

m: original quantity of merchandise sold (in $)

We then have the following idea:

(original amount) (percent) = new amount

The new amount is the amount that Jacqueline earns for 12% of the commission on sales.

We have then:

m (0.12) = 200

Clearing m we have:

m =\frac{200}{0.12}\\m = 1666.7

  Answer:

The equation that solves the problem is:

m (0.12) = 200

The amount she sold is:

m = 1666.7

3 0
2 years ago
Read 2 more answers
O is the centre of the circle, EF is a tangent, angle BCE=28 degrees, angle ACD=31 degrees.
Yuki888 [10]

Answer:

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

a. because angle between tangent and chord is equal to the angle(s) in alternate segment.

b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚

c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚

d. 28*2=56˚ because angles at circumference are half angles at centre

4 0
2 years ago
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