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Tresset [83]
2 years ago
15

Solve the inequality. Draw a number line representing the solution. 2x – 3 < 9

Mathematics
2 answers:
ValentinkaMS [17]2 years ago
6 0

Step-by-step explanation:

2x-3<9

2x<9+3

2x<12

2x/2<12/2

x<6

iVinArrow [24]2 years ago
5 0

Answer:

x<6

Step-by-step explanation:

2x-3<9

Add three to both sides

2x(-3+3)<9+3

2x<12

Divide two by both sides

(2/2)x<12/2

x<6

Number Line:

dot will be open on 6, arrow will point left to indicate that x is less than 6 but you don't know the value of x.

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.

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Please help me solve this problem
Stells [14]

Answer:

$180

Step-by-step explanation:

To solve, we can set up a proportion and solve.

You earn $45 for 7.5 hours of work, and you earn $ x for 30 hours of work

45/7.5=x/30

Cross multiply

45*30=7.5*x

1350=7.5x

To solve for x, we need to get x by itself. It is being multiplied by 7.5. To undo this, divide both sides by 7.5

1350/7.5=7.5x/7.5

180=x

So, for 30 hours of work, you would earn $180

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 72 while the difference between the numbers is 25. the larger of the numbers is
7nadin3 [17]
2 equations:  the first one is the sum of 2 unknown numbers x and y: x + y = 72. Now the difference is 25, so x - y = 25. Solve the first equation for y: y = 72 - x. Sub that into the second equation to solve for x: x - (72 - x) = 25. x - 72 + x = 25 and 2x - 72 = 25.  Therefore, 2x = 97 and x = 48.5  That's the larger of the 2 numbers; since we subtracted y from x we defined x as the larger of the 2.  Just for fun, plug x in to find that y = 23.5
7 0
2 years ago
Estimate the product or quotient. 91*17
Diano4ka-milaya [45]
The product is 1800
because 90x20
8 0
3 years ago
g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the len
vredina [299]

Answer:

-\frac{10}{3}ft/s

Step-by-step explanation:

We are given that

Height of man=5 foot

\frac{dy}{dt}=-10ft/s

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

\frac{20}{5}=\frac{x+y}{x}

4=\frac{x+y}{x}

4x=x+y

4x-x=y

3x=y

3\frac{dx}{dt}=\frac{dy}{dt}

\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=-\frac{10}{3}ft/s

7 0
2 years ago
4x\leq124x≤12<br> i need help plz help me
ELEN [110]

Answer:

hold up what....

Step-by-step explanation:

8 0
3 years ago
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