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Allushta [10]
3 years ago
6

Express the fact that X differs from 2 by more than 3 as an inequality involving an absolute value. Solve for x

Mathematics
1 answer:
defon3 years ago
5 0
An inequality is also an algebraic equation. However, instead of '=' sign, it uses either of these: <, >, ≤, ≥. To translate: <span>X differs from 2 by more than 3, that would be:

2 - x > 3 
We use the '>' equation because the open area should face the larger value. Solving the equation:
-x > 3 - 2
-x > 1
x > -1</span>
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A unit rate is a ratio that compares an amount of one quantity to _______________ unit of another quantity.
masya89 [10]

Answer:

one

Step-by-step explanation:

A unit rate compares a quantity to one unit of measure.

6 0
2 years ago
Find the first term of a sequence x+1,2x-18,2x-1,if this sequence is an arithmetic progression​
PIT_PIT [208]

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37

6 0
3 years ago
Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $1.25, and t
GrogVix [38]

Answer:

The price of one hot dog is $1.65

Step-by-step explanation:

8h+4c= x

c= 1.25

x= 18.20

8h + 4(1.25)= 18.20

8h + 5 = 18.20

( subtract 5 from both sides of the equation)

8h = 13.20

( divide both sides by 8 to isolate the variable)

h = 1.65

so each hot dog is 1.65

3 0
3 years ago
Read 2 more answers
Jaida was grocery shopping for easter dinner, she got 7 lb Spanish serano ham for $50, 5 lbs of russet potatoes for $5 and a bag
Marrrta [24]

Answer: $61.48

Step-by-step explanation:

First, let’s find her cost before tax by adding everything she bought together.

50+5+3=58

Then, find the cost of sales tax.

Convert 6% to a decimal

6/100=0.06

Multiply the total cost by the decimal

58*0.06=3.48

Add the tax and total cost together

58+3.48=61.48

So the total cost with tax is $61.48

Hope this helped!

8 0
3 years ago
Please solve both questions.
Juliette [100K]
Salad and pbj: 24 students
Turkey sandwich and school lunch: 30 students
30
-
24
---------
6
4 0
3 years ago
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