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Molodets [167]
3 years ago
12

- 5x - 72 = -12x + 75

Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Answer:

x = 21

Step-by-step explanation:

Step 1: Write out equation

-5x - 72 = -12x + 75

Step 2: Add 5x to both sides

-72 = -7x + 75

Step 3: Subtract 75 on both sides

-147 = -7x

Step 4: Divide both sides by -7

21 = x

Step 5: Rewrite

x = 21

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A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Ever
hichkok12 [17]

Answer:

\dfrac{17}{72}

Step-by-step explanation:

From the given information:

Total number of students, n(U)=72

The choices were: Chess(C), Swimming(S), and Football(F).

Everyone liked at least one sport except 7 kids, n( C \cup F \cup S)'=7

Chess is not an active sport; and

10 children liked Chess only, n( C \cap F' \cap S')=10

The probability that a randomly-chosen child from this group does not like active kinds of sport is the Probability that a student plays chess only or like no kind of sport at all.

P( C \cup F \cup S)'+P(C \cap F' \cap S')=\dfrac{n( C \cup F \cup S)'+n(C \cap F' \cap S')}{n(U)} \\=\dfrac{10+7}{72} \\=\dfrac{17}{72}

8 0
3 years ago
A car traveling at a constant speed travels 1000 ft in 12 seconds. how long in hours will it take to travel 175 miles?
artcher [175]

9514 1404 393

Answer:

  3.08 hours

Step-by-step explanation:

We assume you're interested in the time in hours.

  175\text{ mi}\times\dfrac{12\text{ s}}{1000\text{ ft}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{175\times12\times5280}{1000\times3600}\text{ h}=\boxed{3.08\text{ h}}

It will take 3.08 hours to travel 175 miles at that speed.

7 0
3 years ago
Please answer which domain for the graph
uysha [10]

Answer:

all real numbers

5 0
3 years ago
Read 2 more answers
Joshua payed $1.99 for a pack of gum that contains 5 pieces of gum.Joshua has 110 pieces of gum. How much money did he pay for a
IgorLugansk [536]
Joshua pays 43.78 because he buys 22 packs. I found this by 110/5 . Then I multiplied 1.99 by 22 and got the final answer $43.78
8 0
4 years ago
What is the range of the function y= 5x + 4 with the domain of x = 0
OLga [1]
Y=5(0)+4
      \/
y= 0 + 4

y = 4
5 0
3 years ago
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