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3 years ago

What's the difference between 1 and 1 3/5

Mathematics

2 answers:

Dennis_Churaev [7]3 years ago

7 0

3/5 is the answer. Difference means to subtract

nevsk [136]3 years ago

5 0

Difference means to subtract. So, if you subtract 1 from 1 3/5. Your answer is 3/5

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Traveling with a speed of 70 mph, a car covered a distance D miles in T hours. Write an equation that relates the distance D thi

irina [24]

Answer:

Part A) $D=70T$

Part B) $D=105\ miles$

Step-by-step explanation:

Par A) Write an equation that relates the distance D this car travels in T hours

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

The speed is a proportional relationship between the distance and the time

Let

D ----> the distance in miles

T ----> the time in hours

$D=kT$

In this problem the constant of proportionality k represent the speed of the car in miles per hour

we have

$k=70\ mi/h$

substitute

$D=70T$

Part B) Use the equation to find the distance the car travels between 3:30 p.m. and 5:00 p.m

we know that

The time between 3:30 p.m. and 5:00 p.m is equal to

5:00 p.m-3:30 p.m=1.5 hours

For T=1.5 h

substitute in the equation and solve for D

$D=70(1.5)$

$D=105\ miles$

7 0

3 years ago

What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?

gogolik [260]

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

$y=2x+3$

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

$y-1=2\left(x-\left(-1\right)\right)$

$y-1=2\left(x+1\right)$

Add 1 to both sides

$y-1+1=2\left(x+1\right)+1$

Simplify

$y=2x+3$

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

$y=2x+3$

Hence, option D is true.

4 0

3 years ago

Last year a large trucking company delivered 9.0 × 105 tons of goods with an average value of $17,000 per ton. What was the tota

stealth61 [152]

I don't really understand the question but I'll answer how I'm reading it.

9 x 105 = 945
945 x 17000 = 16,0650,000

7 0

3 years ago

a mother otter is fed 7 fish for every 2 fish for its cub a) if a cub has eaten 14 fish , how many fish did the mother eat ? ple

jek_recluse [69]

Answer:

The mom ate 49 fish.

Step-by-step explanation:

This question can be solved by a rule of three.

a mother otter is fed 7 fish for every 2 fish for its cub

if a cub has eaten 14 fish , how many fish did the mother eat ?

For each 2 fish cub eats, the mon eats 7. How much has the mom eaten if the cub has eaten 14?

2 - 7

14 - x

2x = 14*7

Simplifying by 2

x = 7*7

x = 49

The mom ate 49 fish.

5 0

3 years ago

PLEASE HELP ASAP! I WILL GIVE BRAINLIEST!

olga_2 [115]

In 75 minutes you travelled 30 kilometers, so the rate is 30/75=0.4km/minute

another way is to use the two points to find the slope: m=(30-0)/(75-0)=0.4

6 0

3 years ago

Read 2 more answers