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viva [34]
3 years ago
9

A train travels at 100 miles per hour. Write an equation that compares the time (t) with the distance (d).

Mathematics
2 answers:
SVEN [57.7K]3 years ago
7 0

Answer:

d = 100 * t

Step-by-step explanation:

    d

------------

S    l    t

distance = d

time = t

speed = 100miles/h

d = 100 * t

Marysya12 [62]3 years ago
4 0

Answer: d = 100t

Hope this helps!

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Complete the page for 15 points.
sergey [27]

Answer:

1. 15, 16, 17

2. 21, 23, 25

3. 44, 46, 48

4. -4, -3, -2

Step-by-step explanation:

1)

Step 1. Writing an equation

Let's set x as the second number in the equation.

This means that the first number is x-1, and the third number is x+1.

We know that the sum of the three numbers is 48, so:

(x-1)+x+(x+1)=48

Step 2. Solving the equation

x-1+x+x+1=48

x+x+x-1+1=48

3x=48

x=16

<em>So the answer is 15, 16, 17</em>

2)

Again, let's set x as the middle number.

Odd numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that the equation must be:

(x-2)+x+(x+2)=69

x+x+x=69

3x=69

x=23

<em>The numbers are 21, 23, and 25</em>

3)

x will be the middle number

Even numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that:

x-2+x+x+2=138

x+x+x=138

3x=138

x=46

<em>The numbers are 44, 46, and 48.</em>

4)

x will be the middle number.

x-1=first number, x+1=third number

x-1+x+x+1=-9

3x=-9

x=-3

<em>The numbers are -4, -3, and -2.</em>

3 0
3 years ago
What is the solution to the expression 12÷4+(1/3)²⋅9⋅3 ?
krok68 [10]

Answer:

6

Step-by-step explanation:

STEP

1

:

           1

Simplify   —

           3

The equation at the end of step

1

:

 12       1

 —— +  (((—)2) • 9) • 3)

 4        3

STEP

2

:

Equation at the end of step

2

:

 12       1

 —— +  ((—— • 9) • 3)

 4       32

STEP

3

:

Canceling Out:

3.1      Canceling out  32 as it appears on both sides of the fraction line

Equation at the end of step

3

:

 12    

 —— +  (1 • 3)

 4    

STEP

4

:

           3

Simplify   —

           1

Equation at the end of step

4

:

 3 +  3

STEP

5

:

Pulling out like terms

5.1      Pull out     3

After pulling out, we are left with :

     3 • ( 1 - (-1) ))

Final result :

 6

5 0
2 years ago
Read 2 more answers
True or False: Exponential growth and exponential decay graphs are always<br> functions
adell [148]

Answer:

true

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time
hoa [83]

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

0.05x + 0.1y + 0.25z = 3.65

Dimes: 3 times greater than nickels:

This means that:

y = 3x

Quarters: One greater than double the number of nickels:

This means that:

z = 2x + 1

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

0.05x + 0.1y + 0.25z = 3.65

0.05x + 0.1(3x) + 0.25(2x+1) = 3.65

0.05x + 0.3x + 0.5x + 0.25 = 3.65

0.85x = 3.4

x = \frac{3.4}{0.85}

x = 4

y and z:

y = 3x = 3(4) = 12

z = 2x + 1 = 2(4) + 1 = 9

There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at brainly.com/question/17096268

4 0
3 years ago
What’s different about solving inequalities when you have to multiply or divide by a negative number? Can you explain why a spec
Sergeu [11.5K]
Alright, let's take an example. 1 is less than 2, so we can write it as 1<2. However, if we multiplied both sides by -1 without changing anything else, we get -1<-2, but -1 is greater than -2 because it is less negative, so the correct way of writing it would be -1>-2. Therefore, since a number that is less positive than another becomes less negative (and therefore higher) when both are multiplied by -1, we have to change the side of the inequality
3 0
3 years ago
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