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sertanlavr [38]
3 years ago
5

Can someone please help me with these last 3 questions? Offering 30 points (10 per question)

Mathematics
1 answer:
suter [353]3 years ago
3 0
10. 4:5....added = 9
     4/9 (1800) = 7200/9 = 800 (red)
     5/9 (1800) = 9000/9 = 1000 (green)
     there were (1000 - 800) = 200 less red ones then green ones.

11. 7/4 = 21/r
      cross multiply
      (7)(r) = (4)(21)
      7r = 84
       r = 84/7
       r = 12....Rod has 12 stickers

12. 14/4 = 3.5 eggs per cup
      for 16 cups...16 * 3.5 = 56 eggs
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a person runs at a constant speed of 9.2 miles per hour for 6 minutes and 30 seconds. How far did they travel in yards.
ipn [44]

Given:

Speed= \bold{9.2 \ \frac{miles}{hour}}  

\therefore \\\\

1-hour= 60 minutes

1-minutes=60 second

So

1-hour= 3600 second

Converting the given time into seconds:

Time= 6 minutes and 30 second

       =\bold{6\times 60 \ second + 30 \ second }\\\\=\bold{360\ second+30\ second}\\\\=\bold{390\ second}\\\\

When 3600 seconds covers=9.2 miles

Then equation:

=\bold{\frac{9.2}{3600}}\\\\

390 seconds covers:

=\bold{\frac{9.2}{3600}\times 390 \ miles} \\\\  

Let

\bold{1 \ miles= 1760\ yard}\\\\

Convert the traveling value into yards:

=\bold{ \frac{9.2}{3600}\times 390\times 1760}\\\\=\bold{ \frac{9.2}{36}\times 39\times 176}\\\\=\bold{ \frac{9.2}{12}\times 13\times 176}\\\\=\bold{ \frac{9.2}{12}\times 2288}\\\\=\bold{ 9.2\times 190.66}\\\\=\bold{ 1754.072\ yards}\\\\

Therefore, total traveling yards are"1754.072".  

Learn more:

brainly.com/question/20282942

7 0
2 years ago
Read 2 more answers
Solve for x<br><br><br> 6x−2(x+4)=12
aev [14]
To solve for x, we will begin by using the distributive property

6x - 2(x + 4) = 12

6x - 2x - 8 = 12

(always remember to sort your negatives!)

Add like terms 

4x - 8 = 12

Add 8 to both sides

4x = 20

Divide both sides by 4

x = 5
3 0
3 years ago
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Please help lolllllllllllll
Goshia [24]
Answer: (look at paper)

3 0
3 years ago
Football is selling boxes of candy as a fundraiser.Ms. South ordered three small boxes and two large box fora total of $36. Chri
JulsSmile [24]

Answer: The price of each small box is $4.8  and the price of each large box is $10.8.

Step-by-step explanation:

Let x = Price of each small box, y= price of each large box.

As per given,

3x+2y= 36  ...(i)

4x+y= 30  ...(ii)

Multiplying 2 to (ii), we get

8x+2y =60...(iii)

Subtract (i) from (iii), we get

5x= 24

x= 4.8

From (ii)

4(4.8)+y= 30

19.2+y=30

y= 10.8

Hence, the price of each small box is $4.8  and the price of each large box is $10.8.

5 0
3 years ago
Based on the information given say whether or not △ABC∼△FED. Explain your reasoning.
GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = x

m∠D = 2x-20°.

Now, let m∠A = m∠B = y

So, m∠C = m∠A + 30° = y+30

Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B +  m∠C = 180

y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50

Therefore, m∠A = 50°, m∠B = 50° and m∠C =  m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50

Therefore,  m∠F = 50°  

m∠E = 50° and  

m∠D =  2x-20=2(50)-20=100-20=80\°

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

5 0
3 years ago
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