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pantera1 [17]
3 years ago
5

Need this turned in by tonight. Solving for x. My brain is fried, I have been doing math for the last 4 hour.Help!!!!!

Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer:

  • 18. x = 24.5
  • 19. x = 4
  • 21. x = 10

Step-by-step explanation:

Corresponding sides have same ratio

Q18

  • 7/6 = x / (27- 6)
  • 6x = 7*21
  • x = 147/6
  • x = 24.5

Q19

  • (x + 5)/15 = (5x + 1)/35
  • (x + 5)/3 = (5x + 1)/7
  • 7(x + 5) = 3(5x + 1)
  • 7x + 35 = 15x + 3
  • 15x - 7x = 35 - 3
  • 8x = 32
  • x = 4

Q21

  • (x + 6)/24 = (2x - 2)/27
  • (x + 6)/8 = (2x - 2)/9
  • 8(2x - 2) = 9(x + 6)
  • 16x - 16 = 9x + 54
  • 16x - 9x = 54 + 16
  • 7x = 70
  • x = 10
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The table represents an exponential function.
kkurt [141]

Answer:

b=2/3

Step-by-step explanation:

The table is given as:

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=1, y=9, we have:

9= a (b)^{1}

When  x=3, y=4, we have:

4= a (b)^{3}

Dividing the two equations:

\dfrac{a (b)^{3}}{a (b)^{1}} =\dfrac{4}{9} \\b^2=\dfrac{4}{9}\\b=\sqrt{\dfrac{4}{9}} \\b=\dfrac{2}{3}

The multiplicative rate of change, b is 2/3.

5 0
3 years ago
The three inside angles (A,B and C) of a right-angled triangle are in the ratio 7:18:11. Th smallest angle is 35. Work out angle
lions [1.4K]

Answer:

<A = 35degrees

<B =90degrees

<C = 55degrees

Step-by-step explanation:

Given the ratios of a triangle as 7:18:11

Total ratio = 7+18+11

Total ratio = 36

Since the smallest angle is 35degrees, hence <A = 35degrees

Get angle B;

<B = 18/36 * 180 (sum of angle in a triangle is 180degrees)

<B = 1/2 * 180

<B = 90degrees

Get angle C;

<C = 11/36 * 180

<C = 11 * 5

<C = 55degrees

Hence the value of A, B and C are 35, 90 and 55 degrees repectively

3 0
3 years ago
Solve for j.
gavmur [86]

Answer:

( J - 6 ) × (J + 6 )

Step-by-step explanation:

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( J - 6 ) × ( j + 6 )

5 0
3 years ago
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Kamila [148]

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5 units

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Step-by-step explanation:

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3 years ago
Joey made strawberry jam and raspberry jam. He made enough strawberry jam to fill 1/2 of a jar. If he made 2/5 as much raspberry
olga_2 [115]

Answer:  1/5 of a jar

Step-by-step explanation:

1/2 times 2/5= .2 = 1/5.

7 0
3 years ago
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