All categories

4 years ago

Which values from the given replacement set make up the solution set of the inequality? m+7 < 18 ; {8,9,10,11}

Mathematics

2 answers:

NNADVOKAT [17]4 years ago

7 0

A because if you simplify the inequality you get m<11 The only answer which has values under 11 is A

bekas [8.4K]4 years ago

4 0

The correct answer is C.

8 + 7 = 15 < 18

9 + 7 = 16 < 18

10 + 7 = 17 < 18

So the correct answer is C.

Brainliest Please!

You might be interested in

PLEASE HELP!! 8th grade

schepotkina [342]

-1.5 !! this is easy hope this helps

4 0

3 years ago

What is the solution for x in the given equation? The square root of 9x +7 + the square root of 2x = 7

cestrela7 [59]

Answer:

The solution is x =2 for the given equation $\sqrt{9x+7} +\sqrt{2x}=7$

Step-by-step explanation:

We need to find the solution for x in the given equation.

$\sqrt{9x+7} +\sqrt{2x}=7$

Solving:

Subtract $\sqrt{2x}$ from both sides

$\sqrt{9x+7} =7-\sqrt{2x}$

Taking square on both sides

$(\sqrt{9x+7})^2 =(7-\sqrt{2x})^2\\Using\,\, (a-b)^2 = a^2-2ab-b^2\\9x+7=(7)^2-2(7)(\sqrt{2x})+(\sqrt{2x})^2\\9x+7=49-14\sqrt{2x}+2x\\9x-2x+7-49=-14\sqrt{2x}\\7x-42=-14\sqrt{2x}\\Taking\,\,square\,\,on\,\,both\,\,sides\\(7x-42)^2=(-14\sqrt{2x})^2\\49x^2-2(7x)(42)+(42)^2= 196(2x)\\49x^2-588x+1764=392x\\49x^2-588x+1764-392x=0\\49x^2-980x+1764=0\\Using \,\,quadratic \,\, equation \,\,to \,\, find \,\, value \,\, of \,\, x \\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\a= 49, \, b= -980 \,\,and\,\, c = 1764$

Putting values and solving

$x=\frac{-(-980)\pm\sqrt{(-980)^2-4(49)(1760)}}{2(49)}\\x=\frac{980\pm\sqrt{614656}}{98}\\Solving\\x=18 \,\, and x =2$

Verifying the solution by putting values of x in given equation

Putting x=18

$\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(18)+7} +\sqrt{2(18)}=7\\\sqrt{169} +\sqrt{36}=7\\13+6=7\\19\neq 7$

So, x=18 is not solution o given equation.

Putting x = 2

$\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(2)+7} +\sqrt{2(2)}=7\\\sqrt{25} +\sqrt{4}=7\\5+2=7\\7=7$

So, x=2 satisfies the equation

The solution is x =2 for the given equation $\sqrt{9x+7} +\sqrt{2x}=7$

7 0

3 years ago

Jessie has 160 rubber bracelets. She arranges the bracelets in piles of 40. Which model shows 160 ÷ 40?

Sergio [31]

Answer:

I am not sure what model you are talking about, no options to choose from

Step-by-step explanation:

You can divide both by 10, making the problem 16 / 4, which would look like 4 piles of four.

This means that the model that looks like 4 groups of 40

5 0

3 years ago

Which equation demonstrates the distributive property? A) 36 + 8 = 44 B)36 x 8 = 8 x 36 C) (9 + 2)4 = 4(9 + 2) D) 36 + 8 = 4(9 +

pashok25 [27]

D. Distributive property is when you multiply the number in the outside of the parentheses into every number inside the parentheses
4(9+2)
You multiply 4x9 and 4x2

8 0

4 years ago

Read 2 more answers

A carton measuring 72 cm by 48 cm by 75 cm was packed with cyndrical tins of radius 6 cm and height 15 cm standing upright.How m

Ierofanga [76]

Answer:

milk

Step-by-step explanation:

7 0

3 years ago