All categories

3 years ago

1/3 (q + 3) = 5 What is Q? Explain why 1/3 is a fraction

Mathematics

2 answers:

Harrizon [31]3 years ago

7 0

Answer:

q=12.

Step-by-step explanation:

1/3(q+3)=5 can be translated to (q+3)/3=5.

Multiply each side by 3 to get q+3=15.

Subtract 3 from each side to get q=12.

Can you explain what you mean by "Explain why 1/3 is a fraction?"

Scilla [17]3 years ago

5 0

Answer:

Assuming Q is q, q = 12. 1/3 is a fraction since it is a ratio of two whole numbers.

Step-by-step explanation:

For this problem, we need to understand two things. (1) q is the unknown variable of this equation. (2) The definition of a fraction is a "numerical quantity that is not a whole number" -Oxford Dictionary which can also be stated mathematically as a ratio of two whole numbers.

First, let's explain why 1/3 is a fraction. In the numerator, we have the whole number 1, and in the denominator, we have the whole number 3. Mathematically, 1/3 is a fraction since it is a ratio of two whole numbers. Alternatively, we can say it's a non-whole numerical quantity. In this case, 0.33 repeating.

Second, let's solve for our unknown variable q:

1/3 ( q + 3 ) = 5

1/3 ( q + 3 ) * 3 = 5 * 3

q + 3 = 5 * 3

q + 3 = 15

q + 3 - 3 = 15 - 3

q = 15 - 3

q = 12

Hence, the value of q is 12.

Cheers.

You might be interested in

9.3.2 Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values of d

kotegsom [21]

Answer:

$\frac{}{d}$ = −0.26

$s_{d}$ = 0.4219

Step-by-step explanation:

Given:

Sample1: 98.1 98.8 97.3 97.5 97.9

Sample2: 98.7 99.4 97.7 97.1 98.0

Sample 1 Sample 2 Difference d

98.1 98.7 -0.6

98.8 99.4 -0.6

97.3 97.7 -0.4

97.5 97.1 0.4

97.9 98.0 -0.1

To find:

Find the values of $\frac{}{d}$ and $s_{d}$

d overbar ( $\frac{}{d}$ ) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5

$\frac{}{d}$ = ∑d/n

= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5

= −1.3 / 5

$\frac{}{d}$ = −0.26

s Subscript d is the sample standard deviation of the difference which is calculated as following:

$s_{d}$ = √∑( $d_{i}$ - $\frac{}{d}$ )²/ n-1

$s_{d}$ =

√ $(-0.6 - (-0.26))^{2} + (-0.6 - (-0.26))^{2} + (-0.4 - (-0.26))^{2} + (0.4-(-0.26))^{2} + (-0.1 - (-0.26))^{2} / 5-1$

= √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −

(−0.26))² + (−0.1 − (−0.26))² / 5−1

= $\sqrt{\frac{0.1156 + 0.1156 + 0.0196 + 0.4356 + 0.0256}{4} }$

= $\sqrt{\frac{0.712}{4} }$

= $\sqrt{0.178}$

= 0.4219

$s_{d}$ = 0.4219

Subscript d represent

μ $_{d}$ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.

3 0

3 years ago

Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants

lozanna [386]

Answer:

$y(x)=c_1e^{2ix}+c_2e^{-2ix}$

Step-by-step explanation:

You have the following differential equation:

$3y''+12y=0$ (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

$3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i$

The solution of the differential equation is:

$y(x)=c_1e^{m_1x}+c_2e^{m_2x}$ (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

$y(x)=c_1e^{2ix}+c_2e^{-2ix}$

4 0

3 years ago

PLEASE HELP ME!!<br><br> Find the measure of angle A:<br><br> Find the measure of angle B:

g100num [7]

Answer:

Measure of angle A is 65 degrees and measure of angle B is 37 degrees.

Step-by-step explanation: First add all of the degrees of excluding x (4+(-9)) which is -5. Then subtract that from 180 since that is the sum of all the angles in a triangle which gives you 185. Then divide it by the number of "x's" that there are which is 5 which gives you 37. So angle B is x which is 37 degrees and angle a is 2(37)-9 which is 65 degrees. Hope this helps.

3 0

3 years ago

A 100g apple is placed on a table. What is the force in newtons of the apple on the table?

abruzzese [7]

Answer:

Step-by-step explanation:

Assuming acceleration of gravity=10m/s²

Force=100/1000kg×10m/s²=1N

5 0

2 years ago

Read 2 more answers

Here are descriptions for how two dot patterns are growing,