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KATRIN_1 [288]
3 years ago
10

Solve the inequality -5(x-7)<15 algebraically for x.

Mathematics
2 answers:
Serggg [28]3 years ago
6 0
X > 4
Hope this helps
Romashka [77]3 years ago
4 0

Answer:

4

Step-by-step explanation:

1. Divide both sides by -5

2. add 7 to both sides

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Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4
crimeas [40]

We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

\left( 4^{-2+(-3)} \right)^{3}

\left( 4^{-5} \right)^{3}

Now we will use exponent property (a^m)^n=a^{m\cdot n}to further simplify our expression.

\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}

\left( 4^{-5} \right)^{3}= 4^{-15}

Therefore, Chris made mistake in step 2.

8 0
3 years ago
A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second.
Ad libitum [116K]

Let d_m,\ d_e represent the depth of the miner and equipments elevator, respectively. We know that equipment elevator descends with a velocity of v_e = 4 feet per second, and the miners one descends with a velocity of v_m = 15 feet per second.

If we start counting time (t=0) when the equipment elevator begins to descend, after t seconds its depth will be

d_e(t) = v_et = 4t

On the other hand, the miner elevator follows the same rule, but we have to use its velocity, and remember that it starts with a delay of thirty seconds:

d_m(t) = v_m(t-30) = 15(t - 30)

Now, we have to wait the 30 seconds of delay, and then another 14 seconds. This means that we want to know the positions of both elevators when t = 44. Let's plug this value into the two equations:

d_e(44) = 4\cdot 44 = 176

d_m(44) = 15(44-30) = 15\cdot 14 = 210

So, the equipment elevator is 176 feet deep, and the miner elevator is 210 feet deep, and thus this is the deeper one.

7 0
3 years ago
Chris bought six pounds of apples for 10.80. How much would 15 pounds of apples cost at the same price per pound?
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Answer: $27

Step-by-step explanation: First we would like to know how much it costs per pound of apples. To find that out simply divide 10.80 by 6 to find the price for one pound. 10.80/6 = $1.80 per pound of apples.

Now, we want to find out how much 15 pounds of apples cost. Simply multiply 1.80 x 15 to find the price of 15 pounds of apples. 1.80 x 15 = $27 for 15 pounds of apples.

5 0
2 years ago
Find the sum of the geometric sequence. (7 points) 4/3, 8/3, 16/3, 32/3, 64/3
Arisa [49]
The sum is 41.22 because first you turn all of the fractions into decimals and then it’s easier to add them all together all at once.
7 0
3 years ago
4,11,6,9,23,34,6,9
ludmilkaskok [199]

Answer: 9

Step-by-step explanation:

If you put all the numbers in order from least to greatest 9 is in the middle.

4 0
3 years ago
Read 2 more answers
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