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2 years ago

What is 14/48 in lowest terms

Mathematics

2 answers:

Marianna [84]2 years ago

3 0

Answer:

7/24

Step-by-step explanation:

14 ÷2 7

------------- = -------------

48 ÷2 24

enot [183]2 years ago

3 0

Answer:

7/24

Step-by-step explanation:

Divide both numbers by 2.

14/2=7

48=24

Lowest term, booooooooom

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The ages of three children in a family can be expressed as consecutive integers. The square of the age of the youngest child is

tensa zangetsu [6.8K]

Answer: 10, 11, & 12

Step-by-step explanation:

Let x represent the age of the youngest child.

Their ages are consecutive so,

Youngest: x

Middle: x + 1

Oldest: x + 2

The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.

x² = 8(x + 2) + 4

x² = 8x + 16 + 4

x² = 8x + 20

x² - 8x - 20 = 0

(x - 10)(x + 2) = 0

x - 10 = 0 or x + 2 = 0

x = 10 or x = -2

Since age cannot be negative, x = -2 is not valid

So, the Youngest (x) is 10

the Middle (x + 1) is 11

and the Oldest (x + 2) is 12

4 0

3 years ago

Tara has two standard, six-sided dice. If she rolls them 36 times, how many times should she expect a sum less than 5 to show up

andreyandreev [35.5K]

There are six sides on each die. For each possible score on Die 1, there are six possible scores on Die 2. So the number of possible combinations is 6*6 = 36.
It follows that if the dice are thrown 36 times, you would expect each combination to come up once. 

We therefore simply need to know how many combinations add up to less than 5. (I've interpreted this as not including a total of 5 itself). 
These combinations are: 1 and 1, 2 and 1, 1 and 2, 2 and 2, 3 and 1, and 1 and 3 ---> six combinations out of 36. 

So you'd expect a sum less than 5 six times.

8 0

3 years ago

An individual is planning a trip to a baseball game for 15 people. Of the people planning to go to the baseball game, 10 can go

wariber [46]

3 people go on Sunday then duh

5 0

1 year ago

Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree which was in the middle of the p

padilas [110]

Answer: $10.2\ yards$

Step-by-step explanation:

<h3> "Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree, which was in the middle of the park, at the origin. She plotted a maple tree, which was 10 yards away from the oak tree, at the point (10,0) . Then she plotted a pine tree at the point (-2.4, 5) and an apple tree at the point (7.8, 5) What is the distance, in yards, between the pine tree and the apple tree in the</h3><h3>park?"</h3>

For this exercise you need to use the following formula, which can be used for calculate the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this case, you need to find distance, in yards, between the pine tree and the apple tree in the park.

You know that pine tree is located at the point (-2.4, 5) and the apple tree is located at the point (7.8, 5).

So, you can say that:

$x_2=-2.4\\x_1=7.8\\\\y_2=5\\y_1=5$

Knowing these values, you can substitute them into the formula and then evaluate, in order to find the distance, in yards, between the pine tree and the apple tree in the park.

This is:

$d=\sqrt{(-2.4-7.8)^2+(5-5)^2}=10.2\ yards$

8 0

3 years ago

Starlight tree farms sells douglas firs and noble first one December they sold 139 more douglas first than noble firs the total

Aloiza [94]

Part A:

Given that Starlight tree farms sells Douglas Firs and Noble First.

Let n be the number of Noble Fir trees sold, then if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.

Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377

Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.

Part B:

Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.

Subtracting 275 from both sides of the equation gives:

 $55h+275-275=440-275 \\ \\ \Rightarrow55h=165$

Dividing both sides by 55 gives:

 $\frac{55h}{55} = \frac{165}{55} \\ \\ \Rightarrow h=3$

Therefore, the time it will take you to reach your destination is 3 hours.

6 0

2 years ago