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Vera_Pavlovna [14]
3 years ago
13

Which of the following number lines represents the solution for 3x + 12 ≤ 24 ?

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

Answer:

Option (2)

Step-by-step explanation:

Given inequality is,

3x + 12 ≤ 24

3x + 12 - 12 ≤ 24 - 12

3x ≤ 12

\frac{3x}{3}\leq \frac{12}{3}

x ≤ 4

Now we can plot this inequality on a number line.

An arrow starting with a solid point from x = 4 directing towards negative infinity will be the graph on a number line.

Therefore, Option (2) will be the correct option.

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Please I need help ASAP
Allisa [31]

Answer:

it's 4.5

Step-by-step explanation:

you have to find the difference between each number and the mean. then you find the mean of that sum

4 0
3 years ago
Read 2 more answers
15. Before oil is added to a certain road surface material, the other ingredients are mixed. The mixture contains
mojhsa [17]

Answer:

sand = 3450 pounds

3/4 inch stones =6750 pounds

1 inch stones =4800 pounds.

Step-by-step explanation:

The mixture composition is :

45% three-quarter inch stones

32% inch stones and

sand for balance

The percent here is by mass of material used.

Weight of mixture is 15,000 pounds before oil addition.

Use the percent by weight for the two types of stones and calculate real values in pounds

Formula to apply is:

Mass percent = (mass of a material/ total mass of mixture) * 100

For 3/4 inch stones it will be:

0.45= \frac{x}{15000} *100\\\\0.45=\frac{x}{150} \\0.45*150=x\\x=6750

The 3/4 inch stones weigh 6750 pounds

The 1 inch stones will be

32/100 * 15000 =4800

The 1 inch stones weigh = 4800 pounds

Total for the two items : 4800+6750 =11550 pounds

The sand used weighs : 15000 - 11550 = 3450 pounds

8 0
4 years ago
Solve for X.<br> X = [?]<br> 5x - 16 X + 10
Aleks [24]

\boxed{ \sf{  \color{purple}\huge Answer :}}

\:  \:

\large \tt \purple↪  \: \:  \:  \:  \:  5x - 16 = x + 10

\:  \:

\large \tt \purple↪  \: \:  \:  \:  \:5x - x = 10 + 16

\:

\large \tt \purple↪  \: \:  \:  \:  \: 4x = 26

\:

\large \tt \purple↪  \: \:  \:  \:  \: x =   \cancel\frac{26}{4}

\:  \:

\underline{ \boxed{\large  \tt  \purple↪  \red{ \:  \:  \:  \: x =  \frac{13}{2} }}}{ \large✓}

\:  \:

hope helps ~

4 0
2 years ago
Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?
sineoko [7]

Answer:

Perimeter =63 inches

Area = 243in²

Step-by-step explanation:

Given data

Length of computer = 18in

Width of computer = 13.5in

From the given data the computer has a rectangular shape

Perimeter of the computer = L+L+W+W= 2L+2W

Perimeter = 2(18)+ 2(13.5)

Perimeter = 36+27=63 inches

Area of rectangular shape = L*W

Area = 18 x 13.5= 243in²

3 0
3 years ago
Read 2 more answers
Please help i need answer and explanation.
allsm [11]

Answer:

m<TVZ = 95

Step-by-step explanation:

2x+15+2x+5= 180

4x+20 =180

     -20  -20

4x=160

x= 40

2x+15= m<TVZ

2(40)+15 = m<TVZ

80+15 = m<TVZ

95 = m<TVZ

To check:

2x+5= <WVZ

2(40)+5 = <WVZ

80+5 = <WZV

85+95 = 180

The two angles together should equal 180. Comment if you have any questions :)

6 0
3 years ago
Read 2 more answers
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