All categories

3 years ago

Explain how you know whether to add or subtract when you use the Distributive Property to multiply.

1 answer:

4 0

Ex.

(4 x 4) + (4 x 2) = 24
16 + 8

So, how did I know how to add these two? Well, using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction) we know whatever's in the parenthesis is what we do first. Since we have to sets of multiplication problems in parenthesis, we can solve either one first, but still regarding the rule of PEMDAS. Make notice of the + sign (bold) in between the two parenthesis. This tell me I will add the two products and get my final answer. But let's say it were the be subtraction oppose to addition.

Ex.

(4 x 4) - (4 x 2) = 8
16 - 8

Using PEMDAS, I did the parenthesis first. I knew to subtract because of the - sign in the equation, leading to my difference.

You might be interested in

A scale model of a bus is 12 inches long<br> . How many inches long is the bus it represents

lions [1.4K]

Answer: 304.8 milimeter

Step-by-step explanation:

7 0

2 years ago

In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH

Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

$\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}$

Substituting the given expression for each segment in the first equation, we get:

$3x+6=2(2x-2).$

Solving the above equation for x, we get:

$\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}$

Substituting x=10 in the equation for segment EI, we get:

$EI=2*10-2=20-2=18.$

Therefore:

$GI=18.$

Now, to determine the measure of angle IEH, we notice that:

$\Delta HFG\cong\Delta GEH,$

therefore,

$\measuredangle GHF\cong\measuredangle HGE.$

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

$m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.$

<h2>Answer: </h2> $\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\ \end{gathered}$

4 0

1 year ago

What is the value of u and v?

Novay_Z [31]

Answer and Explanation:

Since this is an isosceles right triangle, you can use the ratio of side lengths specific to this type of triangle where both legs are the hypotenuse over root 2:

u = v = 164√2 / √2 = 164

so:

u = 164

v = 164

3 0

2 years ago

Read 2 more answers

Willie found shirts at a back-to-school sale for $15.25 each. He also found jeans on sale for $32.95 per pair. He purchased 3 sh

Brilliant_brown [7]

Answer:

111.65

Step-by-step explanation:

$15.25 x 3 = $45.75

$32.95 x 2 = $65.9

Total: $111.65

8 0

2 years ago

Read 2 more answers

A cup of raw Arborio rice weighs 7 ounces. One cup will serve 1 people. Arborio rice is purchased in 2-pound boxes for $1.99. Ho

kow [346]

The rice will cost $17.6 for serving 40 people

<h3><u>Solution:</u></h3>

We need to determine the cost of serving 40 people with rice

Arborio rice is purchased in 2-pound boxes for $1.99

The price of 1 pound box will be $\frac{\$ 1.99}{2}=\$ 0.995$

1 Pound (lb) is equal to 16 ounces (oz)

Therefore, the price of 16 ounces is $0.995

A cup of raw Arborio rice weighs 7 ounces and it serve 1 people

$\begin{array}{l}{\text { The cost per person is } \frac{\$ 0.995}{16} \times 7=\$ 0.44} \\\\ {\text { The cost for serving } 40 \text { people }=\$ 0.44 \times 40=\$ 17.6}\end{array}$

Therefore rice will cost $17.6 for serving 40 people

7 0

3 years ago