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Bezzdna [24]
3 years ago
6

A high-protein diet supplement that costs $7.00 per pound is mixed with a vitamin supplement that costs $3.50 per pound. How man

y pounds of each should be used to make 5 lb of a mixture that costs $4.20 per pound?
Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0
The answer would be 47.5
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A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t
Andre45 [30]

Answer:   Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

Step-by-step explanation:

Given: Width of pencil box = 5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}

Width of seven pencils = 2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}

Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil = (Width of seven pencils ) ÷ 7

=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

3 0
3 years ago
Read 2 more answers
Please help! <br><br> 6.2 divided by (2x + 1)= 2 1/3 divided by 4
guajiro [1.7K]

Answer:

x=2/3

Step-by-step explanation:

(2x+1)/2 = 2 1/3/4

Multiply 4 on both sides:

2x+1=2 1/3

Rewrite:

2x+1=7/3

Subtract 1 on both sides:

2x=4/3

Divide 2 on both sides:

x=2/3

Thus x=2/3

Hope this helps!

7 0
3 years ago
Read 2 more answers
What is the answer for this problem?
Y_Kistochka [10]
This is a problem involving the subtraction of two functions f(x) and g(x):

<span>if f(x)=3x-1 and g(x)=x+2, find (f-g)(x).  In other words, find:

</span><span>  f(x)  = 3x-1 
-{g(x) -(x+2)
-----------------
f(x) - g(x) = 3x - 1 - x - 2 = 2x - 3  (answer)</span>
4 0
3 years ago
Ryan isn’t riding his bike he bikes a distance of12 miles at a rate of4 miles per hour rearrange the distance formula d=rt to ao
Dmitriy789 [7]

Answer:

 180 minutes

Step-by-step explanation:

Starting with the distance formula ...

 d = rt

dividing by the coefficient of t will give an equation for t:

 t = d/r

Ryan's rate of 4 miles per hour can be expressed in minutes as 4 miles per 60 minutes. The Ryan's time is ...

 t = (12 mi)/(4 mi/60 min) = 12·60/4 min = 180 min

Ryan's time is 180 minutes.

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
If 3x + 5x = -8, then x + 1 = -2 -1 0 1 2
Contact [7]
Here you can find x by solving 8x=-8 so x=-1. Then plug it in and you get 0
7 0
4 years ago
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