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babunello [35]
3 years ago
5

This is 7th grde homework and i need help!!

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0

6 and 15 have 3 as a common factor. Thus 6:15 is 2:5. The other ratios are also the same as given in the question. Since the numbers in the second column increase in 15s, the numbers in the first row should increase in sixes (12:30 is the same as 6:15 and 2:5). Thus the answers are:

  1. 6:15
  2. 12:30
  3. 18:45
  4. 24:60
  5. 30:75
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MakcuM [25]
4 out of ten im for sure
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Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.
swat32

Answer:

We conclude that:

  • The number of people who ordered the chicken dinner = 1
  • The number of people who ordered the steak dinner = 5

Step-by-step explanation:

Given that

  • Some order the chicken dinner for $14
  • some order the steak dinner for $17.
  • Total bill = $99

  • Let 'n' be the number of people who ordered the chicken dinner.
  • Let '6-n' be the number of people who ordered the steak dinner.

Thus, the equation becomes

14n + 17(6-n) = 99

14n + 102 - 17n = 99

-3n = 99 - 102

-3n = -3

Divide both sides by -3

n = 1

and

6-n = 6-1 = 5

Therefore, we conclude that:

  • The number of people who ordered the chicken dinner = 1
  • The number of people who ordered the steak dinner = 5
7 0
3 years ago
Please someone help me. It's about proving related to transformation of trigonometric ratios. Thank you!!​
kvasek [131]

Answer:

see explanation

Step-by-step explanation:

Using sum to product identities

cos x - cos y = - 2sin(\frac{x+y}{2} )sin(\frac{x-y}{2} ) = 2sin(\frac{x+y}{2} )sin(\frac{y-x}{2} )

cos x + cos y = 2cos(\frac{x+y}{2} )cos(\frac{x-y}{2} )

Note that

sin10° = sin(90 - 10)° = cos80°

Thus

\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2})  }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2})  } ← cancel 2 from numerator/ denominator

= \frac{sin45}{cos45} × \frac{sin35}{cos35}

= tan45° × tan35° { tan45° = 1 ]

= 1 × tan35°

= tan35° ← as required

5 0
3 years ago
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The distance between points A and B is?
AVprozaik [17]

Answer:

√85

Step-by-step explanation:

A (-3 , 4)    B (4 , -2)

AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85

AB = √85

5 0
2 years ago
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IrinaK [193]

Oh!!

You'll surely get it if you give best answers..

5 0
2 years ago
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