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Murrr4er [49]
4 years ago
6

Which is the solution set of the compound inequality 3.5x-10>-3and 8x-9<39

Mathematics
1 answer:
dimulka [17.4K]4 years ago
8 0

So to solve for an inequality, you must isolate the variable, in this case x, to one side.

Starting with 3.5x - 10 > -3, firstly add both sides by 10:

3.5x > 7

Next, divide both sides by 3.5 and your first half is:

x > 2

Next with 8x - 9 < 39, firstly add both sides by 9:

8x < 48

Next, divide both sides by 8 and your second half is:

x < 6

<u>Putting it together, your final answer is x > 2 and x < 6 or 2 < x < 6.</u>

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Given that 6 x − 7 y = 22 Find y when x = − 1
kykrilka [37]

Answer

y= 4

Step-by-step explanation:

6x-7y=22

6x(-1)-7y=22

-6-7y=22

-7y=22+6

-7y=28

y=-4

7 0
3 years ago
Alex and payton each have a favorite pancake recipe. Alexs recipe uses 7 1/2 cups of flour for 5 batches, paytons recipe uses 3/
Elina [12.6K]

Answer:

9/4z cups

Step-by-step explanation:

Alex recipe uses 7 1/2 cups of flour for 5 batches

Cups of flour per batch = 7 1/2 cups ÷ 5 batches

= 15/2 ÷ 5

= 15/2 × 1/5

= (15*1)/(2*5)

= 15/10

Alex recipe per batch= 3/2 cups of flour per batch

paytons recipe uses 3/4 cup of flour more per batch than alexs recipe

Payton's recipe per batch = Alex recipe per batch + 3/4 cups

= 3/2 + 3/4

= (6+3)/4

= 9/4 cups of flour

Payton's recipe per batch = 9/4 cups of flour

What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe

Payton's recipe for z batches = Payton's recipe per batch * number of batches

= 9/4 cups * z batches

= 9/4z cups

Payton's recipe for z batches = 9/4z cups

3 0
3 years ago
One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein an
nikitadnepr [17]

Answer:

1.5 grams of protein.

Step-by-step explanation:

The equation that represents the relationship between protein and fat is as follows :

4p + 9f = 60 ....(1)

We need to find the grams of protein are there if there are 6 grams of fat in the snack.

Put f = 6 in the above equation (1).

4p + 9(6)= 60

4p + 54 = 60

Subtract 54 to the both sides,

4p + 54-54 = 60-54

4p = 6

⇒ p = 1.5 grams

It means the snack contains 1.5 grams of protein.

4 0
4 years ago
Which on is the correct answer
Xelga [282]

Answer:

y=-x-5

Step-by-step explanation:

Slope is the x, since slope is equal to -1, x=-1. For the y intercept you simply add or subtract the number given to you, since it is -5 you would add a -5 to the end of the equation

4 0
3 years ago
Read 2 more answers
What is the answer to 6+h&gt;12​
UNO [17]

Answer:

h > 6

Step-by-step explanation:

6 + h > 12 (subtract 6 to both sides)

h > 12 - 6

h > 6

5 0
3 years ago
Read 2 more answers
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