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alexandr1967 [171]
3 years ago
12

Solve for X. - 7X - 50 less than or equal to -1 and -6X +70 greater than -2

Mathematics
1 answer:
ololo11 [35]3 years ago
4 0

Answer: x ≤ 7

Step-by-step explanastion: 7x-50≤ -1 and -6x +70> -2

Solve separately and then put back together

7x-50≤ -1

Add 50 to each side

7x-50+50≤ -1+50

7x ≤ 49

Divide each side by 7

7x/7 ≤ 49/7

x ≤ 7

-6x +70> -2

Subtract 70 from each side

-6x +70-70> -2-70

-6x> -72

Divide by -6, remembering to flip the inequality

-6x/-6 < -72/-6

x < 12

The first is more restrictive, and since it is an and, we use the more restrictive answer

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What is expanded form of 605,970
Luba_88 [7]
605,970 is expanded in this form:

(6 x 100,000) + (0 x 10,000) + (5 x 1,000) + (9 x 100) + (7 x 10) + (0 x1)

each number is multiplied to the corresponding place value.
6 is on the one hundred thousand place value
0 is on the ten thousand place value
5 is on the one thousand place value
9 is on the hundreds place value
7 is on the tens place value
0 is on the ones place value

OR

600,000 + 5,000 + 900 + 70 = 605,970
4 0
3 years ago
Read 2 more answers
luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. what is the total cost of th
aivan3 [116]

<u>ANSWER: </u>

The total cost of the skate board is $74.61.

<u>SOLUTION: </u>

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.  

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}

Sales tax is $4.22 approximately

Now, final cost = 79.99 – 9.6 + 4.22

= 84.21 - 9.6

= 74.61

Hence, the total cost of the skate board is $74.61

6 0
3 years ago
I pay 25,000 for a car it depreciates at a rate of 10% what is the value of the car in 7 year
Murrr4er [49]

Answer:

2500

Step-by-step explanation:

7 0
3 years ago
Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilom
bezimeni [28]

Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

Speed = \dfrac{Distance}{Time}

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

(u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

(u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)

Adding (1) and (2) to solve for u and v:

2u = 2240\\\Rightarrow u = 1120\ km/h

Putting u in (1):

1120-u=940\\\Rightarrow u = 180\ km/h

So, the answers are:

<em>Rate of plane in still air = 1120 km/h</em>

<em>Rate of wind = 180 km/h</em>

<em></em>

6 0
2 years ago
Guys pls help me!!!!!!
kumpel [21]

Answer:

x=32

Step-by-step explanation:

7 0
2 years ago
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