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n200080 [17]
3 years ago
15

Help will be greatly appreciated!!! Write the system of equations for these two lines.

Mathematics
1 answer:
Darya [45]3 years ago
5 0

Answer:

See answer below:

Step-by-step explanation:

Blue: y=2x+1

Red: y=3x-2

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PLSSS SOMEONE HELP FAST PLS AND TY :) i only need #7
ankoles [38]
<h3>Answers:</h3>
  • a) HR = 24
  • b) AT = 32
  • c) MR = 29
  • d) R is the midpoint of <u>  MH  </u>  and <u>  AT  </u>

==========================================================

Explanation:

a)

MR = 24 is given. Note the single tickmark on this segment. The other segment HR has the same tickmark, so it is the same length as MR.

HR = MR = 24

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

b)

The double tickmarks tell us TR and RA are the same length. They combine to form segment AT. So this means segment AT is cut in half to get TR and RA.

TR = (1/2)*(AT)

2*TR = AT.... multiply both sides by 2

AT = 2*TR

AT = 2*16

AT = 32

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

c)

MH is cut in half at point R for similar reasoning as part b)

Put another way, MH is twice as long as MR.

MH = 2*MR

58 = 2*MR

2*MR = 58

MR = 58/2

MR = 29

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

d)

R is the midpoint of segment MH because R cuts MH in half. Point R bisects MH.

R is also the midpoint of AT for similar reasoning. It's all based on the tickmarks telling us which segments are congruent to one another.

5 0
3 years ago
Lenny bought a motorcycle . He paid 12.5% in tax . The tax added $1437.50 to the price of the motorcycle . What was the price of
vredina [299]

Answer:

$11500

Step-by-step explanation:

Given

Tax amount=$1437.50

Tax percentaege=12.5%

So, we have to find the price of motorcycle whose 12.5% is 1437.50

Mathematically writing,

Let  

x be the price of motorcycle without tax

then, the equation will be written as:

x*0.125=1437.50

x=  1437.50/0.125

x=11500

So the price of motorcycle without tax was $11500..

7 0
3 years ago
The population of a town increased by 15% in 2016, and decreased by 5% in 2017. If the population of the town was 60,000 in the
nikdorinn [45]

Answer:

The population of the town at the end of 2017 was 65,550.

Step-by-step explanation:

The population of the town was 60,000 in the beginning of 2016.

In 2016, the total population is increased by 15%.

60,000\times\frac{15}{100}=9000

Therefore the population is increased by 9000 and the population of the town at the end of 2016 was

60,000+9000=69,000

In 2017, the total population is decreased by 5%.

69,000\times\frac{5}{100}=3450

Therefore the population is decreased by 3450 and the population of the town at the end of 2017 was

69,000-3450=65,500

Therefore the population of the town at the end of 2017 was 65,550.

3 0
4 years ago
250 grams of sugar cost 150 dollars at Shop X. 100 grams of sugar cost 95 dollars at Shop Y. What is the difference in cost per
nata0808 [166]
<h2>Answer:</h2>

350 dollars

<h2>Step-by-step explanation:</h2>

<em>(step 1) Find the cost per kilogramme of sugar in shop X</em>

In shop X:

250 grams of sugar costs 150 dollars.

<em>Remember that;</em>

1000 grams = 1 kilogramme.

=> 250 grams will be equal to 0.25 kilogramme

Therefore (replacing 250 grams with 0.25 kilogramme) in shop X;

0.25 kilogramme of sugar costs 150 dollars

Now, if

0.25 kilogramme = 150 dollars,

=> 1 kilogramme =  150 dollars x 1 kilogramme / 0.25 kilogramme

=> 1 kilogramme = 600 dollars

Therefore, the cost per kilogramme of sugar in shop X is 600 dollars

<em>(step 2) Find the cost per kilogramme of sugar in shop Y</em>

In shop Y:

100 grams of sugar costs 95 dollars.

<em>Remember that;</em>

1000 grams = 1 kilogramme.

=> 100 grams will be equal to 0.1 kilogramme

Therefore (replacing 100 grams with 0.1 kilogramme) in shop Y;

0.1 kilogramme of sugar costs 95 dollars

Now, if

0.1 kilogramme = 95 dollars,

=> 1 kilogramme =  95 dollars x 1 kilogramme / 0.1 kilogramme

=> 1 kilogramme = 950 dollars

Therefore, the cost per kilogramme of sugar in shop Y is 950 dollars

<em>(step 3) Find the difference in cost per kilogramme of sugar between the two shops</em>

The difference is calculated by subtracting the cost per kilogramme of sugar in shop X from the cost per kilogramme of sugar in shop Y. i.e

=> cost per kilogramme of sugar in shop Y - cost per kilogramme of sugar in shop X

=> 950 dollars - 600 dollars

=> 350 dollars.

Therefore, the difference in cost per kilogramme is 350 dollars

3 0
3 years ago
The Rodriguez Family is starting to save 15% of their income per month for college savings for their children. They earn $8,540
Lunna [17]

Answer:

1,281

Step-by-step explanation:

6 0
3 years ago
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