Question

1. evaluate if a = 4, b = 6, and c = 2.

2a + 2c
2.find the number.
30% of 150

1. find the area.

area of triangle =

1. solve.

\frac{12}{2} \cdot \frac{1}{3} =

1. theresas sugar cookie recipe uses 1 1/3 cup sugar. how much sugar would theresa need to make 2 4/5 batches of cookies?

Explanation:

Step1: Substitute values for 1.

Given $a = 4$ and $c=2$, substitute into $2a + 2c$.
$2\times4+2\times2$

Step2: Calculate multiplication in 1.

$8 + 4$

Step3: Calculate sum in 1.

$12$

Step4: Calculate 2.

To find 30% of 150, convert 30% to decimal 0.3 and multiply by 150.
$0.3\times150 = 45$

Step5: Calculate area for 3.

Use area formula for triangle $A=\frac{1}{2}\times base\times height$. Here base = 12.5 km and height = 15.4 km.
$A=\frac{1}{2}\times12.5\times15.4$
$A = 6.25\times15.4$
$A=96.25$ $km^{2}$

Step6: Calculate 4.

$\frac{12}{2}\times\frac{1}{3}=\frac{12\times1}{2\times3}=\frac{12}{6} = 2$

Step7: Calculate 5.

First convert mixed - numbers. $1\frac{1}{3}=\frac{4}{3}$ and $2\frac{4}{5}=\frac{14}{5}$.
Multiply the amount of sugar per batch by the number of batches: $\frac{4}{3}\times\frac{14}{5}=\frac{56}{15}=3\frac{11}{15}$ cups of sugar.

Answer:

1. 12
2. 45
3. $96.25$ $km^{2}$
4. 2
5. $3\frac{11}{15}$ cups of sugar