MATHEMATICS MIDDLE SCHOOL

Which statement is true for the equation 4x - 4x - 5= -5No solution
One solution
Two solutions
Infinitely many solutions

Answers

Answer 1

Answer:

Answer: Infinitely many solutions

Step-by-step explanation:

1. Cancel −5 on both sides.

4x−4x=0

2. Simplify 4x−4x to 0.

0=0

3. Since both sides equal, there are infinitely many solutions.

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A boat travels 3,600 in 12 minutes.what is the boat speed

Answers

Divide each by 12 to get its speed for one minute. 3,600/12=300 12/12=1. It is going 300?? in 1 minute. Hope this helped!

How do you solve this problem? 6 x 2/5 =

Answers

You have to make 2/5 into a whole number , in this case a decimal
2/5 in decimal form = 0.4
To make it easier for you 0.4 by 10 and then it will become 4
So 6x4=24
Then divide by 10 which will become 2.4
The answer is 2.4

Think! Why do I think this is an easy question? - What is the y-intercept (b) of a line passing through the points (-7.59, 4.3) and (0, -17.37)?

Answers

The answer is
b=−17.37

Let h(x) = -2x - 5. If h(x) = -25, find x

Answers

Answer:

10 =x

Step-by-step explanation:

Let h(x) = -2x - 5. If h(x) = -25

-25 = -2x-5

Solve for x

Add 5 to each side.

-25+5 = -2x-5+5

-20 = -2x

Divide by -2

-20/-2 = -2x/-2

10 =x

a charter bus travels 210 miles in 3 1/2 hours. assume the distance traveled is directly proportional to the time traveled. write and solve a direct variation equation to find how far the bus travel in 6 hours.

Answers

The constant of variation is 60 miles.

Direct variation formula: y = kx

y = 210
x = 3 1/2 miles
k = ?

k = y/x
k = 210 / 3 1/2 miles

*convert mixed fraction into a simple fraction
3 1/2 = (3*2+1)/2 = 7/2
k = 210 ÷ 7/2

Remember the rule of dividing fractions: multiply the 1st fraction by the reciprocal of the 2nd fraction.
1st fraction = 210 ⇒ 210/1
2nd fraction = 7/2 ⇒ reciprocal = 2/7

k = 210/1 * 2/7 = (210*2)/(1*7) = 420/7 = 60

The constant of variation is 60 miles.

To check:
y = kx
y = 60 (3.5)
y = 210 miles

We set up an equation: 210 miles/ (3 1/2 hours)= ? miles/ 6 hours

Cross multiply:
? miles* 3 1/2 hours= 210 miles* 6 hours
⇒ ? miles= 210 miles* 6 hours/ (3 1/2 hours)= 360 miles.

The bus would travel 360 miles in 6 hours~

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