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Arturiano [62]
3 years ago
10

1. solve the inequality 8x ≤ 48

Mathematics
2 answers:
Korvikt [17]3 years ago
8 0

Answer:

Part 1: A. x ≤ 6

Part 2: B. x > 13

Part 3: C. x ≤ 42

Part 4: Option C and D

Step-by-step explanation:

Given the questions of inequality in parts we have to solve these inequality.

Part 1:  8x ≤ 48

Dividing by 8 on both sides, we get

\frac{8x}{8}\leq \frac{48}{8}

x\leq 6

Option A is correct.

Part 2:  10 + x > 23

Subtracting 10 from both sides, we get

10+x-10> 23-10

x> 13

Option B is correct.

Part 3: x - 14 ≤ 28

Adding 14 on both sides, we get

x-14+14\leq 28+14

x\leq 42

Option C is correct.

Part 4: x - 4 ≥ 0

we have to choose the values which can be submitted for x to make the inequality x - 4 ≥ 0 true

Adding 4 on both sides

x - 4+4 ≥ 0+4

x ≥ 4

Since 4 and 18 are only two numbers ≥ 4.

Hence, the correct option is C and D

bonufazy [111]3 years ago
5 0
1.8x≤48
x≤6 (A)
2.10+x>23
x>13(B)
3.x-14≤28
x≤42(C)
4.There are no y in the inequality
5.x-4≥0
4=4,18≥4
So C and D are the answer
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An old house has a basement stairway that has steps with 7.25 inch vertical risers and 10 inch horizontal treads. What is the sl
saul85 [17]

Answer:

Final answer is slope = 0.73

Step-by-step explanation:

Given that an old house has a basement stairway.

Stairway has steps with 7.25 inch vertical risers and 10 inch horizontal treads. Now we need to find about what is the slope of the stairway.  Also round the answer to two decimal places.

slope=\frac{rise}{run}=\frac{7.25}{10}=0.725

Now round that value to two decimal places gives 0.73

Hence final answer is slope = 0.73

6 0
3 years ago
if I bought a laundry basket at $7.50 and it was marked down 20% what would that be and the sales tax is 1% what is the total co
rodikova [14]

Answer:

  a) marked-down price = $6.00

  b) with-tax cost = $6.06

Step-by-step explanation:

a) The amount of the markdown is ...

  0.20 × $7.50 = $1.50

so the marked-down price is ...

  $7.50 - 1.50 = $6.00

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b) The sales tax is ...

  0.01 × $6.00 = $0.06

so the total cost with tax is ...

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Of course, you know that 20% = 20/100 = 0.20, and 1% = 1/100 = 0.01.

8 0
3 years ago
What is the value of the 3 in parenthases [3]45,423,912
oee [108]

Answer:

300,000,000

Step-by-step explanation:

change everything after the 3 to a zero, hope this is the answer you are looking for

7 0
2 years ago
YOU RRR MEH HEROOOZZ! PUHLEASZEEE ITS 10:30pm!!
avanturin [10]

Answer:

x(35)\approx 11.8

Step-by-step explanation:

<u>Modeling With Functions </u>

We have a table of values of speeds vs distance taken for a car to stop. We are required to find a model that uses the square root and fits the given data to predict other values of d as a function of v.

By the nature of the problem, we can know that for v=0, d must be 0 too. So our model won't include a vertical shift or independent term. Being v the speed of the car and x the distance it takes to stop, we use the following model

x(v)=A\sqrt{v}

We must find A to make the function fit the data. Let's use the first point (v,x); (20,9)

9=A\sqrt{20}

Solving for A

\displaystyle A=\frac{9}{\sqrt{20}}

A\approx 2

Then we have

x(v)=2\sqrt{v}

Evaluating for v=35

x(35)=2\sqrt{35}=11.83

\boxed{x(35)\approx 11.8}

Last option

8 0
3 years ago
Help, please! ASAP!!​
In-s [12.5K]

Answer:

a) one solution

b) no solution

Step-by-step explanation:

Systems of equations can be described as having one solution, no solution or infinite solutions:

One solution:  'x' and 'y' are equal to only one value

No solution:  'x' and 'y' can not be solved with the given equations

Infinite solutions:  values for 'x' and 'y' include all real numbers

In order to evaluate the systems, putting them in the same format is your first step:

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Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.

b) y + 3x = -1

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Solving for 'y' by adding the equations and eliminating 'x', gives us:

2y = -2 or y = -1

Using y = -1 to plug back into an equation and solve for 'x':  -1 + 3x = -1 or x = 0.  Since 'x' and 'y' can be solved for a value, the system has just one solution.

5 0
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