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Agata [3.3K]
3 years ago
8

If a is directly proportional to b/2 and a=1 when b=10, what is the value of a when b=35

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0
The value of a would be 3.5, as a=1 when b=10 means that a is worth 1/10 of b's value. 
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Can someone please help me with this ASAP‼️ Thank You
AVprozaik [17]

Let x = cost of the dishwasher.

The amounts the children are paying are:

Mark =20% = 1/5, so  1/5x

Sorin = 75

Raymond = 1/4x

Stephanie = 75

Kristin = 1/3x

Add them together:

x = 1/5x + 1/4x + 1/3x + 75 + 75

x - ( 1/5x + 1/4x + 1/3x ) = 150

Rewrite fractions with common denominator:

x - ( 12/60x + 15/60x + 20/60x ) = 150

60/60x - 47/60x = 150

13/60x = 150

x = 150/1 • 60/13

x = 9000/13

x = 692.31

The total cost of the dishwasher is $692.31

Now calculate the amount each child pays:

Mark = 1/5 x = 692.31/ 5 = $138.46

Sorin = $75.00

Raymond = 1/4 x = 692.31 / 4 = $173.08

Stephanie = $75.00

Kristin =  1/3 x = 692.31 / 3 = $230.77

5 0
3 years ago
Help with number 2 please
lord [1]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP ASAP!!
BabaBlast [244]

Answer:

The first term of the sequence is -120.

Step-by-step explanation:

The formula for the "nth" term of a geometric sequence is shown below:

an = a0*r^(n-1)

Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:

a0*r^(n-1) = an

a0 = an/[r^(n-1)]

We then apply the data given to us

a0 = 31.45728/[-0.8^(7-1)]

a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120

The first term of the sequence is -120.

4 0
3 years ago
What is the answer for x+b over 4
Lady_Fox [76]
X/4 + b/4
i need some values tho
8 0
3 years ago
An angle inscribed in the same os equal arc are equal?
Vadim26 [7]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
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