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timama [110]
2 years ago
10

If y varies directly as x and y=60 when x=12, find y if x=35

Mathematics
2 answers:
natita [175]2 years ago
5 0

Answer:

y = 175

Step-by-step explanation:

Case condition: y ∝ x

∴ y = 60  when x = 12

  y = ?     when x = 35

since the relationship is direct, then use cross multiplication method.

60 = 12

?  = 35

Therefore,

? x 12 = 35 x 60

? x 12 = 2100

divide through by 12 to make '?' the subject

? = 2100/12

? = 175

Therefore Y = 175 when x = 35

Drupady [299]2 years ago
3 0

Answer: y=175

Step-by-step explanation: y&x

y=kx

(Where k is a constant)

When y=60,x=12...we have

60=12k

Divide both side by 12

12k/12=60/12

k=5

Equation becomes y=5k

Finding y when x=35

y=5(35)

y=175

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Solve the following systems b elemination show work and explain each step 3x + y = 13 4x - 3y = 13
Alika [10]

Answer:

x = 4

y = 1

Step-by-step explanation:

Here, we want to solve the system of equation using elimination method

We have this as follows;

3x + y = 13

4x- 3y = 13

Multiply equation 1 by 3

9x + 3y = 39

4x-3y = 13

Add the two equations

13x = 52

x = 52/13

x = 4

From equation 1;

3x + y = 13

y = 13-3x

y = 13-3(4)

y = 13-12 = 1

5 0
2 years ago
In the last six months, Sonia's family used 529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan. To save money,
Tresset [83]

Answer:

They went over their goal for the last six months by 34 minutes per month.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the size of the data-set.

529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan.

The mean is:

M = \frac{529+499+651+652+1163+310}{6} = 634

By how many minutes did they go over their goal in the last six months?

The mean was of 634 minutes, and they wanted to keep it below 600. So

634 - 600 = 34

They went over their goal for the last six months by 34 minutes per month.

4 0
2 years ago
Brian rolls a fair dice 12 times. How many times would Brian expect to roll a number greater than 4?
igor_vitrenko [27]

Answer:

Numbers greater than 4 are 5 and 6

So we have 2 numbers out of 6 numbers so the probability is equal to 2/6 = 1/3

And 1/3 of 12 is equal to 4

So Brian expect to roll a number greater than 4,

Four times.

5 0
2 years ago
PLEASE HELP ITS DUE TODAY PLEASE HELP ASAP 15 POINTS PLEASE HELP​
ludmilkaskok [199]

Answer:

210 cm³

Step-by-step explanation:

volume = W x L x H

(where W = width, L = length and H = height)

By inspection of the diagram,

W = 6 cm

L = 7 cm

H = 5 cm

Therefore, volume = 6 x 7 x 5 = 210 cm³

6 0
2 years ago
Read 2 more answers
Determine the type and number of solutions of −4x^2 − 4x − 1 = 0
user100 [1]
The question is about types and number of soultions so you must use b^2-4ac which is the experssion under the root in the quadratic formula
so
if
b^2-4ac=0 then there is one real soultion
if
b^2-4ac<0 then there are two imaginary soultions that differ in the sign between them
if
b^2-4ac>0 then there are two real soultions
so a polynomial is written in the form
ax^2+bx+c=0
so a=-4
b=-4
c=-1
so b^2-4ac=16-16=0
so one real soultion is the answer you are looking
type:real
number:1
4 0
3 years ago
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