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mylen [45]
2 years ago
10

Today Ian wants to run less than 7/12 mile. Write a fraction with a denominator of 4 to respresent a distance that is less than

7/12.
Mathematics
1 answer:
Mkey [24]2 years ago
5 0

Lan wants to run less than 7/12 miles. It says to find out a fraction with a denominator of 4 and which is less than 7/12.

Let's assume the required fraction to be x/4 such that x/4 is less than 7/12.

\frac{x}{4} < \frac{7}{12} \\\\ 3*\frac{x}{4} < \frac{7}{12}*3 \\\\ \frac{3x}{4} < \frac{21}{12} \\\\ \frac{3x}{4} < \frac{7}{4} \\\\ 3x < 7

So we must have multiples of 3's that should be less than 7, we have only two choices 3 < 7 or 6 < 7.

It means x = 1 or x = 2, and the required fraction would be 1/4 or 2/4.

2/4 is simplified to 1/2 and the question says to have denominator 4.

Hence, final answer is 1/4

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What is the answer for<br> -4x+4y=12<br> 3x-4y=-18
Liula [17]
Use elimination.

-x = -6
X = 6

-4 (6) + 4y = 12
Y = 9

(X,y)

(6,9) is the solution
6 0
3 years ago
Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in
Ronch [10]

The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces  of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

(50)^{2} = (14)^{2} + (48)^{2}

2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm  lateral height = 35cm

(37)^{2} = (35)^{2}+ (6)^{2}

1369 = 1225 +36

1369 \neq 1261

Model 3

Diagonal = 60cm, radius = 20cm  lateral height = 40cm

(60)^{2} = (20)^{2} + (40)^{2}

3600 = 400 + 1600

3600 \neq 2000

Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

(30)^{2} = (24)^{2} + (9)^{2}

900 = 576 + 81

900 \neq 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion,  the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

#SPJ1

5 0
1 year ago
Read 2 more answers
Find the measure of the missing angles.
tensa zangetsu [6.8K]
H = 68
g = 112
k = 82
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6 0
2 years ago
On a class trip to the museum,5/8 of the students saw the dinosaurs and 7/8 of the students saw either the jewelry collection or
inessss [21]

\frac{2}{8} of students only saw jewelry collection

<em><u>Solution:</u></em>

Given that, On a class trip to the museum,5/8 of the students saw the dinosaurs

7/8 of the students saw either the jewelry collection or the dinosaurs

<em><u>To find: Fraction of students only saw jewelry collection</u></em>

From given statement,

Fraction of students saw dinosaur = \frac{5}{8}

Fraction of students saw either the jewelry collection or the dinosaurs = \frac{7}{8}

Therefore,

Fraction of students only saw jewelry collection = Fraction of students saw either the jewelry collection or the dinosaurs - Fraction of students saw dinosaur

\rightarrow \frac{7}{8} - \frac{5}{8} = \frac{7-5}{8} = \frac{2}{8}

Thus \frac{2}{8} of students only saw jewelry collection

8 0
3 years ago
Ryan's dog weighs 55 pounds, and Mark's dog weighs p pounds. Which expression shows their combined weight?
atroni [7]
55 + p = Combined weight
8 0
2 years ago
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