Please answer this! Im desperate UvU,

Mathematics

1 answer:

Ratling [72]3 years ago

6 0

Part A:

x=5
4x-1 ≤19
4(5)-1 ≤19
20-1 ≤19
19 ≤19

x=5
4x-1<19
4(5)-1<19
19<19

Explanation:
In problem one the greater then symbol has a line under it, this means that the symbol now means greater then or equal to. Since 19 is equal to 19 it is correct. In problem to the greater then symbol has no line under it meaning it only means greater then. Since 19 is not greater then 19 it is false.
So basically the difference is:
≤ = greater then or equal to
< = greater then

Part B:
5x+2=47
-2 -2
5x=45
/5 /5
x=9

Explanation:
Since when you solve the equation x=9 the value 9 from the set makes the equation.

Hope this helped :)

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The Children’s Hospital sponsors a 10K race to raise money. It receives $75 per race entry and $10,000 in donations, but it must

svetlana [45]

THE ANSWER:

There would need to be at least 1,800 entries in order for them to meet their goal.

Step-by-step explanation:

To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.

75x - 25x

Then we can add the number of donations.

75x - 25x + 10,000

Then we can set it as greater than or equal to the goal number.

75x - 25x + 10,000 ≥ 100,000

Now we solve this using the order of operations.

75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms

50x + 10,000 ≥ 100,000 ------> Subtract 10,000

50x ≥ 90,000 -----> Divide by 50

~~~~~~~~~x ≥ 1,800~~~~~

4 0

3 years ago