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Ray Of Light [21]
2 years ago
9

An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are s

hown below.
b=k+10
b=-k+8
Which is a correct step to find k and b?
O Write the points where the graphs of the equations intersect the x-axis.
O Write the points where the graphs of the equations intersect the y-axis.
O Add the equations to eliminate k.
O Multiply the equations to eliminate b.
Mathematics
1 answer:
anygoal [31]2 years ago
3 0

Answer: Add the equations to eliminate k

Step-by-step explanation:

Adding the equations, you get 2b=18, which you can solve for b. Afterward, you can substitute this value of b back into either equation to solve for k.

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Answer:

\dfrac{45}{4}\ \text{inches}^3\ \text{or }11\dfrac{1}{4}\ \text{inches}^3

Step-by-step explanation:

Dimensions of prism

1\dfrac{1}{2}=\dfrac{3}{2}\ \text{inches}

2\dfrac{1}{2}=\dfrac{5}{2}\ \text{inches}

3\ \text{inches}

Volume is given by

V=\dfrac{3}{2}\times \dfrac{5}{2}\times 3=\dfrac{45}{4}\ \text{inches}^3\\ \text{or }11\dfrac{1}{4}\ \text{inches}^3

The volume of the rectangular prism is \dfrac{45}{4}\ \text{inches}^3\ \text{or }11\dfrac{1}{4}\ \text{inches}^3.

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Step-by-step explanation:

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