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Dafna11 [192]
3 years ago
5

For every 6kg of a child's weight, pediatricians prescribe 7mg of fever reducer. If Greg weighs 42kg, how many milligrams of the

fever reducer will the pediatrician prescribe?
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0

Answer:

49mg

Step-by-step explanation:

lets consider 6kg as x for a second. First we need to find how many x's are in 42kg. 6kg=1x so to find the correct amount of x's we need to divide 42 by 6. You would get 7. Multiply 7 by the 7mg and yo would get 49. This is what it would look like with working:

6kg=x or 1x

42/6=7

Now we have 7x's

7x7=49                    

49mg

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How many tons of cheese will 20,850,000 Texans consume this year?
Allushta [10]

Answer:

60,000 tons

Step-by-step explanation:

3 0
3 years ago
Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water. PART A: Write an equati
Lelechka [254]
Part A:
there is 60% of lemon juice in a 1 liter of water
so 60% *OF* the 1 liter
( of technically means * in mathematics)
so 
60% * 1 liter
or 0.6 * 1 liter
Now to find the total number of liters of lemon juice and water in the bottle
(0.6*1)+x= 1
(x being the amount of water)

Part B: We can calculate the number of liters of lemon juice that are present in the bottle
60% * 1
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that is 0.6
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Hope this helps :)
6 0
3 years ago
The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.
Goryan [66]

<u>Given</u>:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

<u>Length of AD:</u>

The length of AD is given by

cos 60^{\circ}=\frac{FD}{8}

       4=FD

Length of AD = 8 cm

<u>Slant height:</u>

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

     sin \ 60^{\circ}=\frac{EF}{8}

sin \ 60^{\circ} \times 8=EF

      \frac{\sqrt{3}}{2} \times 8=EF

          4\sqrt{3}=EF

Thus, the slant height EF is 4√3

<u>Surface area of the square pyramid:</u>

The surface area of the square pyramid can be determined using the formula,

SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)

Substituting the values, we have;

SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})

SA=64+\frac{1}{2}(32)(4 \sqrt{3})

SA=64+(16)(4 \sqrt{3})

SA=64+64 \sqrt{3}

The exact form of the area of the square pyramid is 64+64 \sqrt{3}

Substituting √3 = 1.732 in the above expression, we have;

SA = 64 + 110.848

SA = 174.848

Rounding off to one decimal place, we get;

SA = 174.8

Thus, the area of the square pyramid is 174.8 cm²

7 0
3 years ago
Read 2 more answers
Simplify the expressions by combining like terms<br><br> 10r - 5r + 3r - 8r
Yuri [45]

Answer:

0

Step-by-step explanation:

Combine like terms, perform the operations with the coefficients of the variable, then write the variable.

10r - 5r + 3r - 8r

= 5r + 3r - 8r

= 8r - 8r

= 0

7 0
3 years ago
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The boeing 747 airplane is 250 feet in length. If a model of this plane is 8 inches long , what scale was used to create this mo
cluponka [151]

Answer: The wingspan is 36 m.

Using a proportion to solve this, we write the scale factor as a ratio first:  19/38, since 19 is the size of the model's length and 38 is the real length.  For the second ratio, we have 18 for the size of the model wingspan and x for the real wingspan:

19/38 = 18/x

Cross multiply:

19*x = 38*18

19x = 684

8 0
3 years ago
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