All categories

3 years ago

If 1/4 of a number is 5 less than 2/3 of the same number, what is the number?

Mathematics

2 answers:

NikAS [45]3 years ago

7 0

Answer:

Step-by-step explanation:

x/4 = (2x/3) - 5. Solve for x

-5x/12 = -5

-5x = -60

x = 12

Svetllana [295]3 years ago

5 0

X/4=(2x/3)-5. Solve for x -5x/12= -5 -5= -60 x=12

You might be interested in

F(x)=-2x-1 and g(x)=x^2-1. Find (fog)(-5).

serg [7]

Answer: - 49

Step-by-step explanation:

f(x) = -2x - 1

g(x) = $x^{2}$ - 1

fg(x) = f ( $x^{2}$ - 1) , we just put in the value of g(x) , the next thing is to substitute $x^{2}$ - 1 for the value of x in f(x) , that is

fg(x) = -2( $x^{2}$ - 1) - 1

fg(x) = -2 $x^{2}$ + 2 - 1

fg(x) = -2 $x^{2}$ + 1

Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is

fg(-5) = -2 ( $(-5)^{2}$ + 1

fg(-5) = -2(25) + 1

fg(-5) = -50 + 1

fg(-5) = -49

7 0

4 years ago

calculate the means and the standard deviation of the following set of data 4.578g, 4.581g, 4.572g, 4.573g, 4.601g, 4.577g. stat

AfilCa [17]

Answer:

68% Confidence interval = [4.5752, 4.5848]

95% Confidence interval = [4.5688, 4.5918]

Step-by-step explanation:

Sample mean (X) = 4.580

Sample Standard Deviation (S) = 0.01065

Sample size (n) = 6

$T_{(5)}$ for alpha/2 0.84 = 1.1037

$T_{(5)}$ for alpha/2 0.975 = 2.5706

68% Confidence interval = $[x-T_{(5)}\frac{S}{\sqrt{n}}, x+T_{(5)]\frac{S}{\sqrt{n}}]$ = [4.5752, 4.5848]

95% Confidence interval = $[x-T_{(5)}\frac{S}{\sqrt{n}}, x+T_{(5)}\frac{S}{\sqrt{n}}]$ = [4.5688, 4.5918]

7 0

3 years ago

Given that the points (-1, 5) and (2, 1) are vertices of a rectangle with sides parallel to the axes, how much longer is the len

Norma-Jean [14]

Answer:

Correct choice is A

Step-by-step explanation:

Two vertices of the rectangle have coordinates A(-1, 5) and B(2, 1). If rectangle sides are parallel to the axes, then two remaining vertices have coordinates C(-1,1) and D(2,5) (see attached diagram for details).

Find the length and the width:

$AC=\sqrt{(-1-(-1))^2+(5-1)^2}=4\ units,\\ \\AD=\sqrt{(2-(-1))^2+(5-5)^2}=3\ units.$

Then the length is 1 unit longer than the width.

7 0

3 years ago

What's the answer to the picture attached?

lukranit [14]

The answer is choice C. The reason why is because f(2010) = t(2010). The outputs of the f(x) and t(x) functions are the same when the input is x = 2010. In this case, the output is 740.

6 0

3 years ago

Y - 4 = -3 ( x - 3 )<br> rewrite in y = mx+b

evablogger [386]

Answer: $y = -3x + 13$