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Talja [164]
3 years ago
10

Eight less than three times a number is less than ten. Find all such numbers.

Mathematics
1 answer:
Sindrei [870]3 years ago
4 0

Answer:

1, 2, 3, 4 & 5

Step-by-step explanation:

3x - 8 < 10

=> 3x < 18

=> x < 6

=> x = 1, 2, 3, 4 & 5

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Savannah works as a sales rep and receives 4.5% for every $140 she sells. How much commission will she receive?
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How many kilometers did they drive per hour
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The distance from San Francisco to New York is 4140 km. Since the question asks how long it took the Humphrey family in km/hr (kilometers per hour), you would just divide 4140km by 6.
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3 years ago
Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the e
ASHA 777 [7]

Answer:

Each girl had $7.50 when they arrived.

Step-by-step explanation:

We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.

3x = x + 5

<em>First, subtract x from both sides. This cancels out the addition by x.</em>

3x - x = 5

<em>Now, subtract x from 3x. This equals 2x.</em>

2x = 5

<em>To cancel out the multiplication by 2, divide both sides by 2.</em>

x = 5/2

<em>Lastly, divide 5 by 2 to get 2.5.</em>

x = 2.5

<em>Substitute x for 2.5 in the earlier equation (3x = x + 5)</em>

3(2.5) = 2.5 + 5

<em>First, multiply 3 by 2.5 to get 7.5.</em>

7.5 = 2.5 + 5

<em>Add 2.5 to 5 to get 7.5.</em>

7.5 = 7.5

Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.

4 0
3 years ago
A line intersects the points (3,-4) and
MrRa [10]

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁  )

with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (1, 2)

m = \frac{2+4}{1-3} = \frac{6}{-2} = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2), then

2 = - 3 + c ⇒ c = 2 + 3 = 5

y = - 3x + 5 ← equation of line

5 0
3 years ago
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