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ololo11 [35]
2 years ago
10

A hibernating animal lost 5 pounds. Write a signed number to represent this weight change.

Mathematics
1 answer:
vampirchik [111]2 years ago
8 0

Answer:

-2

Step-by-step explanation:

The sign would be negative because the pounds were lost not gained

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Which ratio is also equal to StartFraction R T Over R X EndFraction and StartFraction R S Over R Y EndFraction? StartFraction X
jekas [21]

Answer:

△RST ~ △RYX by the SSS similarity theorem. Which ratio is also equal to RT/RX and RS/RY ?

A.XY/TS

B.SY/RY

C.RX/XT

D.ST/YX

Step-by-step explanation:

Check attachment for solution

5 0
2 years ago
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Diego's sister is twice his age minus 9 years. She is also as old as half the sum of the ages of Diego and both of his 12-year-o
slava [35]

Answer:

Diego is 14 years old.

Sister is 19

Step-by-step explanation:

x = Diego's age

<u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>4</u>

2x-9 = 2

First to get rid of the fraction we multiply each side by 2

2(2x-9) = 2((x+24)/2)

4x-18 = x+24

The we isolate x

4x-18 = x+24

<u>-x+18 -x+18</u>

<u>3x</u> = <u>42</u> Now we divide each side 3

3 3

x = 14

So Diego is 14

Now we can solve for his sister. We can use one of the two equations from earlier to do this.

Plug 14 in for x and then solve for his sister

2(14)-9

28-9

19

His sister is 19

5 0
2 years ago
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14. A $40,000 loan at 4% dated June 10 is due to be paid on October 11. Calculate the amount of interest (assume ordinary intere
Allisa [31]
D) $546.67

Hope this helped!
5 0
2 years ago
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Toy train A crosses a pole after every 24seconds. Toy train B crosses the pole after every 30 seconds and toy train C crosses th
gizmo_the_mogwai [7]

Answer: 6 minutes

Step-by-step explanation:

From the question, Toy train A crosses a pole after every 24seconds while Toy train B crosses the pole after every 30 seconds and then toy train C crosses the pole after every 36 seconds. We are going to solve this by finding their lowest common multiple (LCM).

24 = 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360.

30 = 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 360, 390

36 = 36, 72, 108, 144, 180, 216, 252, 288, 324, 360.

We can see that the lowest common multiple of 24, 30 and 36 is 360.

Since 60 seconds make 1 minute, this will be converted to minutes.

= 360/60

= 6 minutes.

They all cross the pole together after 6 minutes.

6 0
2 years ago
Fatima saved $15,000 toward a down payment on a house. She makes $5,375 a month. What is the maximum loan she can take on a hous
Fittoniya [83]

We will use \frac{28}{36} ratio to determine how much can Fatima afford as a loan for her house.

Let gross income of Fatima = $ x

Amount earned by Fatima monthly= $ 5,375

36 % of 5,375=

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Maximum amount that can be paid as a loan monthly = $ 1935

Total money that she can pay yearly for house loan if Fatima allowable money for paying loans is $ 1935=

       1935 \times 12=23220$

Money saved as a down payment = $ 15,000

So, maximum amount loan Fatima can take on a house= 23220 + 15000=$38,220

She is not allowed for loan for house if the cost of house is any of the four options.

(B) 28 % of $ 5375=

   \frac{28}{100}\times 5,375=1505$

Maximum amount that Fatima spend on her house monthly= $ 1505

Amount that fatima can spend yearly on her house = 1505× 12 =$18,060

For the four options given , none of the option matches Fatima's expectations.

7 0
2 years ago
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