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3 years ago

How do I solve x + 8 < 10

2 answers:

6 0

Remember you can do anything to an equationas long as you do it to both sides
for inequalities, rember to flip sign when multiply or divide by negatie

x+8<10
add -8 to both sides (or minus 8 both sides)
x+8-8<10-8
x+0<2
x<2

DedPeter [7]3 years ago

4 0

So 8 <10 on each side do -8 then it will be X=2

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Tyler went to the super market to buy food for a pantry. He has $36, and can carry up to 20pounds of food in his backpack. One p

AleksAgata [21]

This question is incomplete

Complete Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.

Answer:

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Step-by-step explanation:

Let

x = the number of packages of pasta

y = the number of jars of pasta sauce.

He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

x + 1.5y ≤ 20....... Equation 1

x = 20 - 1.5y

x × $1 + y × $3 = $36

x + 3y ≤ 36..... Equation 2

20 - 1.5y + 3y = 36

-1.5y + 3y = 36 - 20

1.5y = 16

y = 16/1.5

y = 8

And x = 8

Therefore,

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

6 0

2 years ago

What is the power of 15<br> ------------------

miv72 [106K]

Answer:

If something is "to the power of 15" then it means it is multiplied by itself 14 times (one less than 15 as the original number is already to the power of 1).

An example:

So 2 to the power of 15, which we write as 215 = 2 * 2 * 2 * 2 etc... (so we have 15 written 2's in total meaning we will make 14 multiplications) is equal to 32,768.

4 0

3 years ago

Which sequences are arithmetic? Check all that apply.

spin [16.1K]

Answer:

3) 18, 5.5, –7, –19.5, –32, … sequence is in Arithmetic Progression.

5) 16, 32, 48, 64, 80 sequence is in Arithmetic Progression.

Step-by-step explanation:

If, a, b, c ,k, e ... is a given sequence.

Then the above sequence is in AP if b - a = c - b = k - c = ...

or, each term has same COMMON DIFFERENCE (d).

Here, take each sequence and check for the value of d.

1) –5, 5, –5, 5, –5, …

Here, 5 - (-5) = 10, -5 - 5 = -10

and 10 ≠ -10. So the sequence is NOT in Arithmetic Progression.

2)96, 48, 24, 12, 6

Here, 48 - 96 = -48, 24 - 48 = -24

and -48 ≠ -24. So the sequence is NOT in Arithmetic Progression.

3)18, 5.5, –7, –19.5, –32, …

Here, 5.5 - 18 = -12.5 , -7 - 5.5 = -12.5 ..

and -12.5 is the common difference.

So the sequence is in Arithmetic Progression.

4)–1, –3, –9, –27, –81, …

Here, -3-(-1) = - 2 -9 - (-3) = -6

and -2 ≠ -6. So the sequence is NOT in Arithmetic Progression.

5)16, 32, 48, 64, 80

Here, 32 - 16 = 16 , 48 - 32= 16 ..

and 16 is the common difference.

So the sequence is in Arithmetic Progression.

6 0

3 years ago

Read 2 more answers

Which expressions are equivalent to 9x(2+y) ?

OleMash [197]

9x(2+y)

18x+9xy

The answer is A B and C.

5 0

3 years ago

The product of a number and 48 is -18. Create an equation, solve it, and then tell, what that number is???

Sedbober [7]

The product is the result of multiplication.
the product of a number and 48 --- 48x ---is (means equals) - 18
so its gonna be:
48x = -18
x = -18/48
x = - 3/8 <== ur number

8 0

2 years ago

Read 2 more answers