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3 years ago

8/f = 56/105 what is f?

2 answers:

6 0

8/15 = 56/105

This may be solved using proportion.
a/b = c/d
ad = bc where cross products are equal.

a = 8
b = f
c = 56
d = 105

ad = bc
8*105 = f*56
840 = 56f
840/56 = 56f/56
f = 15

56 ÷ 7 = 8
105 ÷ 7 = 15

Drupady [299]3 years ago

4 0

8/f= 56/105

Cross multiply:
56* f= 8*105
⇒ f= 8*105/56= 15

Final answer: f=15~

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The 10th term of an a.p is -27 and the 5th term is -12 .find the first term?

horsena [70]

Step-by-step explanation:

$a_{10} = - 27... (Given) \\\\\therefore a + 9d = - 27...... (1)\\\\a_{5} = - 12... (Given) \\\\\therefore a + 4d = - 12.......(2)\\\\$

Subtracting equation (2) from equation (1)

$a + 9d-( a + 4d )= - 27-(-12)\\\\\therefore a +9d - a-4d = - 27+12\\\\\therefore 5d = - 15\\\\\therefore d = \frac {- 15}{5}\\\\\huge \orange {\boxed {\therefore d = -3}} \\\\$

Substituting d = - 3 in equation (1), we find:

$a + 9\times (-3)= - 27\\\\\therefore a - 27 = - 27\\\\\therefore a = 27- 27\\\\\huge \red {\boxed {\therefore a = 0}}\\\\$

Hence, first term is zero.

3 0

3 years ago

A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions ar

34kurt

Answer:

The probability it will land on green every time is $\frac{1}{27}$ .

Step-by-step explanation:

We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.

The pointer is spun three times.

<u>As we know that the probability of an event is described as;</u>

Probability of an event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

Here, the favorable outcome is that the spinner will land on green every time.

So, the number of green regions = 2

Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions

<em>Now, the probability it will land on green every time is given by;</em>

Probability = $\frac{2}{6}\times \frac{2}{6}\times \frac{2}{6}$

= $\frac{1}{3}\times \frac{1}{3}\times \frac{1}{3}$

= $\frac{1}{27}$

Hence, the probability it will land on green every time is $\frac{1}{27}$ .

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3 years ago

At Silver Gym, membership is $45 per month, and personal training sessions are $25 each. At Fit Factor, membership is $75 per mo

Elza [17]

Ok she would have to buy 5 personal trainers to be equal the same with the other gym.

Gym 1 is $25 ( $25, $50, $75, $100)
Gym 2 is $15 ( $15, $30, $45,$60, $75)

$75 is are match

5 0

2 years ago

Read 2 more answers

Plz help!!! It's on elimination its Algebra 1

koban [17]

2x-y=0 Y=x-1 2x-x-1=0 x-1=0

7 0

3 years ago

18 Geometry question: Use an algebraic equation to find the measure of each angle that is representative in terms of X

Dmitrij [34]

Answer:

12x - 28° = 116°

7x + 32° = 116°

Step-by-step explanation:

12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.

Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:

12x - 28° = 7x + 32°

Collect like terms

12x - 7x = 28 + 32

5x = 60

Divide both sides by 5

5x/5 = 60/5

x = 12

✔️12x - 28°

Plug in the value of x

12(12) - 28

= 144 - 28

= 116°

✔️7x + 32°

7(12) + 32

= 84 + 32

= 116°

4 0

3 years ago