Mathematics, 25.01.2020 06:31 chiquita77

3rectangular have a combined volume of 518 cubic feet. prism a has one- third thof prism b and c. what is the volume. what is the volume of each prism

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Answer from: phillipsalexis274

Question is Incomplete; Complete question is given below;

3 rectangular prisms have a combined volume of 518 cubic feet. Prism A has 1/3 the volume of Prism B. Prisms B and C have equal volume.What is the volume. What is the volume of each prism.

Volume of prism A is $74\ ft^3$ and Volume of Prism B and Volume of Prism C is $222\ ft^3$ .

Step-by-step explanation:

Let the Volume of 3 prism be A,B,C.

Now Given:

3 rectangular prisms have a combined volume of 518 cubic feet.

so we can say that;

$A+B+C=518 \ ft^3 \ \ \ \ equation \ 1$

Also Given:

Prisms B and C have equal volume.

B = C

Also given:

Prism A has 1/3 the volume of Prism B.

so we can say that;

$A=\frac{B}{3} = \frac{C}{3}\\\\B=C=3A$

Now Substituting the value of B and C in equation 1 we get;

$A+B+C=518\\\\A+3A+3A=518\\\\7A=518$

Dividing both side by 7 we get;

$\frac{7A}{7}=\frac{518}{7}\\\\A= 74 \ ft^3$

Now Substituting the value of A to find B and C we get;

$B=C=3A=3\times74=222\ ft^3$

Hence Volume of prism A is $74\ ft^3$ and Volume of Prism B and Volume of Prism C is $222\ ft^3$ .

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

$\dfrac{p}{4}$ or $\dfrac{1}{4}p$

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is $\dfrac{p}{4}$ or $\dfrac{1}{4}p$

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