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Aneli [31]
3 years ago
5

A red token is worth twice as much as an orange token. An orange token is worth 5 less a yellow token. A yellow token is worth 1

5 less than a green token. A green token is worth half ad much as a blue token, and a blue token is worth B. How much is a yellow token in terms of B
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
7 0

Answer:

Step-by-step explanation:

Let r represent red token,

Let o represent orange token,

Let y represent yellow token

Let g represent green token,

A red token is worth twice as much as an orange token. It means that

r = 2o

An orange token is worth 5 less a yellow token. It means that

o = y - 5

A yellow token is worth 15 less than a green token. It means that

y = g - 15

A green token is worth half as much as a blue token. It means that

g = b/2

a blue token is worth B. Therefore, the worth of a yellow token in terms of B would be

Substituting g = B/2 into y = g - 5, it becomes

y = B/2 - 15

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Solve x/10 = -7 A. x = 3 B. x = -0.7 C. x = -17 D. x = -70
timofeeve [1]

Answer:

x = -70

Step-by-step explanation:

x/10 = -7

Multiply each side by 10

x/10*10 = -7*10

x = -70

7 0
3 years ago
How many ways can a dance instructor send 4 of her 11 students to a summer dance program?
Sedaia [141]

Answer:

d) 330

Step-by-step explanation:

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is  C(11 , 4)

That is 11_{C_{4} } ways

by using formula n_{C_{r} } = \frac{n!}{(n-r)!r!}

now simplification

11_{C_{4} } = \frac{11!}{(11-4)!4!}

      = \frac{11X10X9X8X7!}{(7!)4X3X2X1}

after cancelling 7! and on simplification

   = \frac{11X10X9X8}{4X3X2X1}

after cancellation we get 330 ways

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330

   

8 0
3 years ago
Find the value of x shown below
irakobra [83]

Angles opposite to the equal sides of an isosceles triangle are equal, so the third angle in this triangle is also 61.  Now, you know all the angles in the triangle, you can use the Triangle Sum Theorem, which says that all the angles in a triangle add up to 180.

x + 61 + 61 = 180

x + 122 = 180

x = 58

Hope this helped!

7 0
3 years ago
Tom races his bicycle for 140 ft. A wheel of his bicycle turns 35 times as the bicycle travels this distance. What is the diamet
inna [77]

Answer:

1.3 ft

Step-by-step explanation:

perimeter = 140/35 = 4 ft

diameter = 4 ft/ 3.14 = 1.3 ft

6 0
3 years ago
Read 2 more answers
Algebra help. Zoom in if you can
Artist 52 [7]
Answers:

Pair-1: log_{2}x = 5 ↔ 32
Pair-2: log_{10}x = 3 ↔ 1000
Pair-3: log_{4}x = 2 ↔ 16
Pair-4: log_{5}x = 4 ↔ 625

Explanation:

Pair-1:
log_{2}x = 5 \\  \frac{ln(x)}{ln(2)} = 5 \\ ln(x) = 5 * ln(2) \\ x = e^{5*ln(2)} \\ x = 32

Pair-2:
log_{10}x = 3 \\ \frac{ln(x)}{ln(10)} = 3 \\ ln(x) = 3 * ln(10) \\ x = e^{3*ln(10)} \\ x = 1000

Pair-3:
log_{4}x = 2 \\ \frac{ln(x)}{ln(4)} = 2 \\ ln(x) = 2 * ln(4) \\ x = e^{2*ln(4)} \\ x = 16

Pair-4:
log_{5}x = 4 \\ \frac{ln(x)}{ln(5)} = 4 \\ ln(x) = 4 * ln(5) \\ x = e^{4*ln(5)} \\ x = 625
7 0
3 years ago
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