Given that,
Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.
For peanut, the cost is ratio is
For beef, the ratio is
If we take cross product of these items,
It implies, that the sale is in true proportion. From the cross product, we find that it is equal.
Answer:
1114$
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The sum of angles in a triangle is 180°. Therefore,
x - 11 + 48 + 90 = 180
x + 127 = 180
x = 53°
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.
We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II
We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)
We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III
Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml
Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml
Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
Answer:
<h3>The volume of the prism is cubic
centimeters.</h3><h3>
Step-by-step explanation:</h3><h3>Given that a rectangular prism has the following dimensions:</h3><h3>
</h3><h3>We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by</h3><h3>
</h3><h3>Therefore, the volume of the given prism will be</h3><h3>
</h3><h3>Thus, the volume of the prism is
cubic centimetres.</h3>
