All categories

3 years ago

A number is divided by 3. That quotient is increased by 12. The result is 46. Find the number.

Mathematics

1 answer:

anzhelika [568]3 years ago

3 0

Let the number be x.

x/3 + 12 = 46

Subtract 12 from both sides and you will get:

x/3 = 34

Multiply both sides by 3:

x = 102

You might be interested in

11) If A = {19, 20, 21, 24} and B = {17, 19, 20, 22), list the elements of A U B.

Elodia [21]

Answer:

A U B = {17, 19, 20, 21, 22, 24}

Step-by-step explanation:

The symbol U is the union symbol, which denotes the union of two sets.

This means that given two sets A and B, the expression

A U B

indicates all the elements that belong to either set A or set B.

In this problem, we have the following two sets:

A = {19, 20, 21, 24}

B = {17, 19, 20, 22}

We can therefore list all the elements belonging to either set A or set B, they are:

17, 19, 20, 21, 22, 24

So, the expression A U B indicates the set:

A U B = {17, 19, 20, 21, 22, 24}

3 0

2 years ago

melisa1 [442]

Answer:

209 inches

Step-by-step explanation:

95% of 220 is 209 inches so therefor it would be 209 inches.

6 0

3 years ago

Umbers to complete the problems below. 14. Marcy lives 1.15 miles away from her grandmother. What fraction represents the distan

joja [24]

Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.

<h3>How to convert decimal to fractions.</h3>

From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.

Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:

= 1 + 15/100

= 1 + 3/20

= 1 3/20

Therefore, the fraction is 1 3/20.

Learn more about fractions on:

brainly.com/question/17220365

5 0

2 years ago

Liam is making barbecue ribs over a fire. The internal temperature of the ribs when he starts cooking is 40°F. During each hour

Soloha48 [4]

Answer: You need to wait at least 6.4 hours to eat the ribs.

t ≥ 6.4 hours.

Step-by-step explanation:

The initial temperature is 40°F, and it increases by 25% each hour.

This means that during hour 0 the temperature is 40° F

after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:

T = 40° F + 0.25*40° F = 1.25*40° F

after another hour we have another increase of 25%, the temperature now is:

T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2

Now, we can model the temperature at the hour h as:

T(h) = (40°f)*1.25^h

now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.

So we have:

(40°f)*1.25^h = 165° F

1.25^h = 165/40 = 4.125

h = ln(4.125)/ln(1.25) = 6.4 hours.

then the inequality is:

t ≥ 6.4 hours.

4 0

2 years ago

What's the domain and range for (×+4)-1

Sonja [21]

$\bf a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad

\cfrac{1}{a^{ n}}\implies a^{-{ n}}\\
---------------\\
thus\\
(x+4)^{-1}\implies \cfrac{1}{x+4}
\\\\
$
$\bf if\qquad \cfrac{1}{0} \implies$ undefined

so.. what value of "x" makes x+4 to 0?

the domain will be, all real numbers, except that value

about the range, "y" will take, whateve "x" can provide.. in this case... I think is all real numbers, except 0, because, if you give a few big values to "x", the fraction will simply have a bigger and bigger denominator, making the fraction smaller and smaller, ever approaching 0, but never getting there

7 0

3 years ago