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2 years ago

17. Distance to Work Johnny gets to work in 20 minutes

Mathematics

1 answer:

Marrrta [24]2 years ago

6 0

Answer:

2.25 miles

Step-by-step explanation:

When driving a car time taken is 20 minutes. This is equal to 20/60 hours , 1/3 hours / 0.3 hours

When riding a bike , time taken is 45 minutes. This is 45/60 hours , 3/5 hours/ 0.75 hours

The formula for speed is : Speed = Distance covered / time taken

The statement is that the driving speed is greater than biking speed by 4.5 mph

Assuming the distance to work is x miles then;

x/ 0.3 - x/0.75 = 4.5 ------eliminate 0.3 by multiplying each term by 0.3 to get

x- 0.3/0.75 x = 1.35 -------eliminate 0.75 by multiplying each term by 0.75 to get

0.75 x - 0.3 x = 1.0125

0.45 x = 1.0125

x= 1.0125 / 0.45

x = 2.25

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Every prime number greater than 10 has a digit in the ones place that is include in wich set of numbers A- 1,3,7,9 B-1,3,5,9 D-1

marta [7]

That's very interesting. I had never thought about it before.
Let's look through all of the ten possible digits in that place,
and see what we can tell:

-- 0:
   A number greater than 10 with a 0 in the units place is a multiple of
   either 5 or 10, so it's not a prime number.

-- 1:
    A number greater than 10 with a 1 in the units place could be
    a prime (11, 31 etc.) but it doesn't have to be (21, 51).

-- 2:
   A number greater than 10 with a 2 in the units place has 2 as a factor
   (it's an even number), so it's not a prime number.

-- 3:
   A number greater than 10 with a 3 in the units place could be
   a prime (13, 23 etc.) but it doesn't have to be (33, 63) .

-- 4:
   A number greater than 10 with a 4 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 5:
   A number greater than 10 with a 5 in the units place is a multiple
   of either 5 or 10, so it's not a prime number.

-- 6:
   A number greater than 10 with a 6 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 7:
   A number greater than 10 with a 7 in the units place could be
   a prime (17, 37 etc.) but it doesn't have to be (27, 57) .

-- 8:
   A number greater than 10 with a 8 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 9:
   A number greater than 10 with a 9 in the units place could be
   a prime (19, 29 etc.) but it doesn't have to be (39, 69) .

So a number greater than 10 that IS a prime number COULD have
any of the digits 1, 3, 7, or 9 in its units place.

It CAN't have a 0, 2, 4, 5, 6, or 8 .

The only choice that includes all of the possibilities is 'A' .

4 0

2 years ago

2×3 squared<br><img src="https://tex.z-dn.net/?f=2%20%5Ctimes%203%20%7B%3F%7D%5E%7B2%7D%20" id="TexFormula1" title="2 \times 3 {

morpeh [17]

2 x 3^2
2 x 9
18

18 is the answer

3 0

2 years ago

Read 2 more answers

How many litres of fuel will a car use to travel 450 km if its fuel consumption is 6,8 km/l?

valentina_108 [34]

Step-by-step explanation:

are you sure the fuel consumption is given by 6,8 km/l ?

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but ok, let's assume this is correct.

it would mean the car can drive 6,8 km with every liter of fuel in the tank.

how many liters will the car need to go 450 km ?

well, as many liters as 6,8 fits into 450 :

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7 0

2 years ago

Please help me. Solve by using substitution.

juin [17]

Answer:

y=-3x+3..........(1)

6x+2y=6

putting value of y

6x+2(-3x+3)=6

6x-6x+6=6

o=0

sorry I do not get answer

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2 years ago

Read 2 more answers

Write the point-slope form, then use that to write the slope-intercept form of the equation

Mashcka [7]

For a line with slope m that passes through a point $(x_1, y_1)$ , the point-slope form equation is the following.

$y-y_1=m(x-x_1)$

We have a given slope of 4 and a given point of (7,5). Now, plug in the values.

$\boxed{y-5=4(x-7)}$

That is the point-slope form of the line. Now, let's change this into slope-intercept form. Slope-intercept form looks like the following:

$y=mx+b$

Where m is the slope and b is the y-intercept. Let's do some algebra on our point-slop form equation to change it into slope-intercept form.

$y-5=4(x-7)$

This was our equation. Let's use the distributive property on 4(x-7).

$y-5=4x-28$

Now, add 5 to both sides of the equation

$\boxed{y=4x-23}$

This the slope-intercept form of the line. Thus, we have solved for both the point-slope form and the slope-intercept form. Hope this helps! :)

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2 years ago