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kirza4 [7]
2 years ago
13

Yuuma applied the steps below to find the product of (–10.2)(–16.4). Step 1: (–10.2)(–16.4) = (–16.4)(–10.2) Step 2: = (–16.4)(–

10) + (–16.4)(–0.2) Step 3: = ____________ Step 4: = 167.28 Which expression correctly fills in the blank in Step 3?
Mathematics
2 answers:
Nat2105 [25]2 years ago
8 0

The answer you want is going to be 164+3.28

san4es73 [151]2 years ago
4 0

Answer:

Step 3 is =164 + 3.28            

Step-by-step explanation:

Given : Yuuma applied the steps below to find the product of (–10.2)(–16.4).

To find : Which expression correctly fills in the blank in Step 3?

Solution :

The given expression is  (-10.2)(-16.4)

Step 1 : Write the expression,

(-10.2)(-16.4) = (-16.4)(-10.2)

Step 2: Distribute 10.2 into two parts 10+0.2

=(-16.4)(-10) + (-16.4)(-0.2)

Step 3: Simplify the multiplication,

=164 + 3.28

Step 4: Add the terms

=167.28

Therefore, Step 3 is =164 + 3.28

You might be interested in
Which ordered pairs are solutions to the inequality 2y−x≤−6 ?
Vinil7 [7]
Given inequality: 2y−x ≤ −6

Option-1 : (-3,0)
2×0 - (-3) = 0 + 3 = 3 > -6
Not satisfied

Option-2 : (6,1)
2×1 - 6 = 2 - 6 = -4 > -6
Not satisfied

Option-3 : (1, -4)
2×(-4) - 1 = -8 - 1 = -9 < -6
Satisfied.
Thus, (1, -4) is a solution.

Option-4 : (0, -3)
2×(-3) - 0 = -6 - 0 = -6 = -6
Satisfied.
Thus, (0, -3) is a solution.

Option-5 : (2, -2)
2×(-2) - 2 = -4 - 2 = -6 = -6
Satisfied.
Thus, (2, -2) is a solution.

Solutions are: (1, -4), (0, -3) , (2, -2)

4 0
2 years ago
3/4 of a piece of metal has a mass of 15kg.what is the mass of 2/5 of the piece of metal
olga2289 [7]
3/4=15
let,
total mass is x
x=4×15/3
=20 kg
so, total mass = 20 kg

=2×20/5
=2×4
=8 kg

Hope this helps!
8 0
2 years ago
Which choice gives a valid first step to solve 2(w − 3) = 5? Exclude any choice where the explanation for the step is false.
UNO [17]

Answer:

D. Use the Distributive Property. You clear the parentheses and then solve the two-step equation.

Step-by-step explanation:

Given problem;

         2(w − 3) = 5

To solve this problem:

   Use the distributive property to clear the parentheses;

     2w - 6 = 5

 Then, collect like terms, add 6 to both sides;

    2w  = 5 + 6

    2w  = 11

  Now divide both terms by 2

     w = \frac{11}{2}  

7 0
2 years ago
A circular region has a population of about 15,500 people and a population density of about 775 people per square kilometer. Fin
Reil [10]

Answer:

2.5 km

Step-by-step explanation:

First, find the area of the region:

  • A circular region has a population of about 15,500 people;
  • A population density of about 775 people per square kilometer.

So, there are 15,500 :775=20 square kilometers.

Now, let x kilometers be the radius of the circular region, then

A_{\text{circilar region}}=\pi r^2\\ \\20=\pi r^2\\ \\r^2=\dfrac{20}{\pi}\approx 6.366198\\ \\r=\sqrt{3.366198}\approx 2.523

To the nearest tenth this is 2.5 km.

6 0
2 years ago
Use the graph representing bacteria decay to estimate the domain of the function and solve for the average rate of change across
nasty-shy [4]

Answer:

Domain is [0,18]

Average rate of change of bacteria per minute is -3333.33.

Step-by-step explanation:

Domain is the possible values of x.

From the graph, it's clear that the x values ranges from 0 to 18 as the end points of the graph are (0,60) and (18,0)

So, domain of the function is [0,18].

Now, average rate of change is negative as there is bacteria decay.

Average rate of change is given as the negative ratio of y intercept to the x intercept.

Here, x-intercept is 18 and y-intercept is 60000.

So, average rate of change is given as,

R_{avg}=-\frac{60000}{18}=-3333.33

Therefore, average rate of change of bacteria per minute is -3333.33.

5 0
2 years ago
Read 2 more answers
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