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Elodia [21]
3 years ago
6

One-third of a number added to itself equals 3 times the difference of the number and seven.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

Step-by-step explanation:

Do this step by step.

Let the number = x

1/3 of a number = 1/3 x

Added to itself 1/3x + x

=

3*(x - 7)

So the equation is

1/3x  + x = 3(x - 7)            Remove the brackets. Collect 1/3x and x

4/3 x = 3x - 21                 Multiply both sides by 3.

4x = 3*(3x - 21)                Remove the brackets again

4x = 9x - 63                    Subtract 9x from both sides

-5x = -63                         Divide by -5

x = -63/-5

x = 12.6

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A line passes through the points (1, 8) and (0, 3). What is its equation in slope-intercept form?
Sphinxa [80]

Answer:

Step-by-step explanation:

The equation is y=mx+b.

In this case, you plug in 3 for b, because b represents the y-intercept and the y-intercept is (0,3).

To figure out the slope, the equation is y-y/x-x, so it would be 8-3/1-0, which leves us with 5.

M represents the slope so your answer is:

Y=5x+3

Hope this helps!

3 0
3 years ago
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
neonofarm [45]

Answer:

Step-by-step explanation:

c2+2c+4

(c+2)^2

^ is the exponent

5 0
2 years ago
Find how long it takes to drive 134 miles on a highway at 9 pm going 40 mph
Amanda [17]
It will take 3.35........
4 0
3 years ago
What is equivalent ratio of 5:8:4 and explain how u got it
igor_vitrenko [27]

this is example

So, first we need to write the given ratio as fraction,

= 8/18

= (8 × 2)/(18 × 2)

= 16/36

= 16 : 36 (one equivalent ratio),

So, 16 : 36 is an equivalent ratio of 8 : 18.

Now we will find another equivalent ratio of 8 : 18 by using division.

Similarly, first we need to write the given ratio as fraction,

= 8/18

= (8 ÷ 2)/(18 ÷ 2)

= 4/9

= 4 : 9 (another equivalent ratio)

So, 4 : 9 is an equivalent ratio of 8 : 18.

Therefore, the two equivalent ratios of 8 : 18 are 16 : 36 and 4 : 9.

2. Frame two equivalent ratios of 4 : 5.

Solution:

To find two equivalent ratios of 4 : 5 we need to apply multiplication method only to get the answer in integer form.

First we need to write the given ratio as fraction,

= 4/5

= (4 × 2)/(5 × 2)

= 8/10

= 8 : 10 is one equivalent ratio,

Similarly again, we need to write the given ratio 4 : 5 as fraction to get another equivalent ratio;

= 4/5

= (4 × 3)/(5 × 3)

= 12/15 is another equivalent ratio

Therefore, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Note: In this question we can’t apply division method to get the answer in integer form because the G.C.F. of 4 and 5 is 1. That means, 4 and 5 cannot be divisible by any other number except 1.

6 0
2 years ago
Can somebody solve this please?
11111nata11111 [884]

Answer:

220

Step-by-step explanation:

Now, I'm not sure if 220 is correct, but I'll explain my reasoning.

We know three angles of a triangle add up to 180 degrees.

So, the smaller triangle has 70 degrees and <em>a</em><em> </em>and <em>b</em><em> </em>variables. By virtue, <em>a</em><em> </em>+ <em>b</em><em> </em>+ 70 = 180.

So, <em>a</em><em> </em><em>+</em> <em>b</em><em> </em>= 110.

Likewise, when you look at the whole triangle, 70 degrees is also one of the angles while <em>c</em><em> </em>and <em>d</em><em> </em>are unknown.

So, <em>c</em><em> </em>+ <em>d</em> + 70 = 180.

This means <em>c</em><em> </em>+ <em>d</em><em> </em>= 110.

So, <em>(</em><em>a</em><em> </em>+<em> </em><em>b</em><em> </em>) +<em> </em><em>(</em><em>c</em><em> </em>+<em> </em><em>d</em><em> </em><em>)</em><em> </em><em>=</em><em> </em>

110 + 110 =

220 degrees.

I hope this helps!

4 0
1 year ago
Read 2 more answers
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