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Igoryamba
2 years ago
9

A truck covers a particular distance in 3 hours with the speed of 60 miles per hour. If the speed is increased by 30 miles per h

our, find the time taken by the truck to cover the same distance.
using y=kx​
Mathematics
1 answer:
Scorpion4ik [409]2 years ago
5 0

9514 1404 393

Answer:

  2 hours

Step-by-step explanation:

Time, speed, and distance are related by ...

  d = st

The distance covered is ...

  d = (60 mi/h)(3 h) = 180 mi

Then the time taken at the higher speed is ...

  180 mi = (60 mi/h +30 mi/h)(t)

  t = (180 mi)/(90 mi/h) = 2 h

The time taken at the higher speed is 2 hours.

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3) John has decided to invest his $20,000 in two saving accounts. He decides to invest some of it at 4.5% annual interest and th
Elza [17]

The amount he invested in the account that yields 4.5% interest is $7,500.

The amount he invested in the account that yields 2.5% interest is $12,500.

<h3>What is the system of equations that represent the question?</h3>

a + b = $20,000 equation 1

0.045a + 0.025b = $750 equation 2

Where:

a = amount he invested in the account that yields 4.5% interest

b = amount he invested in the account that yields 2.5% interest

<h3>How much was invested in the account that yields 4.5% interest?</h3>

Multiply equation 1 by 0.025

0.025a + 0.025b = 500 equation 3

Subtract equation 3 from 2

250 = 0.02a

a = 12,500

<h3>How much was invested in the account that yields 4.5% interest?</h3>

Subtract 12,500 from 20,000

20,000 - 12,500 = $7,500

To learn more about simultaneous equations, please check: brainly.com/question/25875552

7 0
2 years ago
A box contains 4 bags of sugar. the total mass of all 4 bags is 6 kilograms. what is the mass of each bag in grams?
OLga [1]
6 kilograms is 6000g (I think haha) so that divided by 4 would be 1500g.
8 0
2 years ago
Solve the equation for y (picture below)<br> Please show work and solve as much as you can
Alina [70]
2)
4x-10y=12

Subtract 4x from each side.
-10y=-4x+12

Divide both sides by -10
y=2/5x-6/5

3)
13=1/6y+2x

Subtract 2x from each side.
-2x+13=1/6y

Multiply both sides by 6.
-12x+78=y

Flip it around.
y=-12x+78

Hope this helps!
5 0
3 years ago
Solve the system of linear equations by graphing.<br> y = x +2<br> y = -x -4<br> The solution is
Mnenie [13.5K]

Answer:

Solution: (-3,-1)

8 0
3 years ago
Read 2 more answers
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Ira Lisetskai [31]
The zero for -2x+10x-16 is positive 2

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2 years ago
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