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Mnenie [13.5K]
3 years ago
15

Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus

3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication
Mathematics
2 answers:
-BARSIC- [3]3 years ago
6 0

Answer:

Answer:

Identity property of multiplication

Step-by-step explanation:

Given

Step 5: 1x = 20

Step 6: x = 20

Required

Property that justifies step 6

Annette [7]3 years ago
5 0

Answer:

Identity property of multiplication

Step-by-step explanation:

Given

Step 5: 1x = 20

Step 6: x = 20

Required

Property that justifies step 6

It should be noted that step 6 is a result of step 5.

So, basically the question is asking for the property applied on step 5.

Given that step 5 is: 1x = 20

The property applied is the identity property of multiplication.

This is so because this property states that when 1 is multiplied to an equation, the result remains the same.

Hence;

When 1 is multiplied to x (i.e. 1x), the result is still x.

So, 1x = 20 at step 5 gives x = 20 at step 6

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What is the equation of the line that passes through the point (5,3) and has a slope of -1/5 ?
deff fn [24]

Answer: y=-1/5x+4

Step-by-step explanation: use the equation y=mx+b (x,y)->(5,3) 5 is an x value and 3 is a y value so you want to plug in these values into the equation. 3=-1/5(5)+b. We already know our slope so just plug it into m. Now multiply -1/5 and 5 which is -1. 3=-1+b you want to isolate b so you can find the intercept. Add one to both sides so it cancels out. 4=b we found our y-intercept so we can write the equation now. y=-1/5x+4

6 0
2 years ago
Sebastian has $3.75 worth of dimes and quarters. He has a total of 21 dimes and quarters altogether. Determine the number of dim
Nostrana [21]

Answer:

Sebastian cold have 10 dimes and 11 quarters.

Step-by-step explanation:

11 quarters = $2.75

10 dimes = $1.00

6 0
3 years ago
At a sale on winter clothing,Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two h
lara31 [8.8K]
First do 43 - 30= $13 for two hats
so for one hat you do 13 divided by 2 which equals= <u>$6.50</u> for one hat

then you do 30 - 13= $17 for two pairs of gloves
so for one pair of gloves you do 17 divided by 2=<u> $8.50</u> for one pair of gloves
8 0
3 years ago
Does the value of x make the equation to 0. Why?
natka813 [3]

Answer:

Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”. Be careful that you do not confuse the solution x = 0 with “no solution”. The solution x = 0 means that the value 0 satisfies the equation, so there is a solution.

Step-by-step explanation:

3 0
3 years ago
A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of th
saul85 [17]
The length of the island will be given as follows:
tan θ=opposite/adjacent
thus:
tan75.8= 3000/a1
a1=3000tan75.8
a1=11855.885 ft

also:
tan15.6=3000/a2
a2=3000tan15.6
a2=837.62 ft
Thus the length of the island will be:
11855.885-837.615
=11,018.24 ft
3 0
3 years ago
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