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n200080 [17]
3 years ago
5

The freight is traveling at a constant speed the table below shows how far the train travels after different amounts of time com

plete the table below.
Write an equation for “d” , the distance traveled by the train after “h” hours

Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0
Using  the 2nd row it traveled 120 miles in 3 hours
 so 120/3 = 40 miles per hour

so distance (d) = 40h
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Write the equation of each line using the given information. Show all work.
siniylev [52]

Answer:

y=2x

Step-by-step explanation:

y2-y1/x2-x1

-7-5/-2-4

-12/-6

simplified to = 2

so y=2x

6 0
3 years ago
I'm going to test you (deff not for my hw)
Alja [10]

The first sequence, it is increase +1 for every number, because 2-3 is 1, 3 - 5 is 2, and 5 - 8 is 3. So, lets add 4 to 8, and we will know the next number of the sequence.

4 + 8 = 12

So, the next number in the first sequence is:

1, 1, 2, 3, 5, 8, 12

Second Sequence:

The second equation is doing exactly the same thing (it increases by 1 every number it goes) just this one is decreasing.

Proof: 26 - 24 is 2, 24 - 21 is 3, and 21 - 17 is 4.

Lets subtract 5 to 17 to know the next number.

17 - 5 = 12

So our next number is:

26, 24, 21, 17, 12

4 0
3 years ago
In a football tournament, the Bees scored 9 less than three times as many points as the Hornets. The Wasps scored 28 more points
Alinara [238K]

Answer:

  • <u>The Bees scored 90 points.</u>

Explanation:

First, let's prove that the equation is correct.

To create the equation, you translate the verbal statements into algebraic expressions.

Since, it is said that x respresents the number of points scored by the Hornets, that is your variable and all the verbal statements will be translated using x:

a) NUmber of points scored by the Hornets: x

b) The Bees scored 9 less than three times as many points as the Hornets ⇒v3x - 9

c) The Wasps scored 28 more points than the Hornets ⇒ x + 8

d) Together the three teams scored 184 points ⇒

 

  • x + (3x - 9) + (x + 28) = 184

Which indeed is the given equation: (3x – 9) + x + (x + 28) = 184

Now, complete the steps to show it, in the same order given:

<u>1. Combine like terms. </u>

  • Remove the parenthesis: x + 3x - 9 + x + 28 = 184

  • Combine the terms on x on the left: x + 3x + x = 5x

  • Combine the constants on the left: - 9 + 28 = 19

  • Write the result: 5x + 19 = 184

<u>2. Use the subtraction property of equality. </u>

  • Subtract 19 from both sides: 5x + 19 - 19 = 184 - 19

  • Due the operations: 5x = 165

<u>3. Use the division property of equality. 4. </u>

  • Divide both sides by 5: (5x / 5) = 165 / 5

  • Due the operations: x = 33

<u>4. Use the variable to answer the question. How many points did the Bees score?</u>

  • The expression for the points scored by the Bees is 3x - 9, so substitute x in that expression: 3 (33) - 9 = 99 - 9 = 90.

  • Answer: the Bees scored 90 points.
4 0
3 years ago
Read 2 more answers
PLS HELP ME ASAP FOR QUESTION 4!!! (MUST SHOW WORK!!) + LOTS OF POINTS!! *branliest*
algol13
No solution because if you distribute -4 to both 2.5y and -3.25 your equation becomes -10y+13-15 1/4=-10y. Then you subtract both 13 and 15 1/4 and get -2.25 so your equation becomes -10y-2.25=-10y. After that you add 10y to both side so your equation becomes -2.25=0 which has no solution.
4 0
3 years ago
Jon buys staplers and three hole punches. He spends $112 on them in total. Each stapler is $7 and each three hole punch is $12.
stiv31 [10]

Answer: Jon purchased 4 staplers and 7 three hole punchers.


Step-by-step explanation:

Let x be the number of staplers and y be the number of three hole punches purchased by Jon.

Then the equation for total items will be

x+y=11............(1)

And the equation for the total cost will be

7x+12y=112........................(2)

Multiply eq(1) by 7 and then subtract from eq (2), we get

7x+12y-(7x+7y)=112-7(11)\\\Rightarrow5y=112-77\\\Rightarrow\ 5=35\\\Rightarrow\ y=7

Put y=7 in eq(1), we get x= 4.

Hence, Jon purchased 4 staplers and 7 three hole punchers.


8 0
3 years ago
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