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2 years ago

Explain why you can find 5÷1/3 by multiplying 5 by 3.

1 answer:

7 0

Dividing by a fraction is the same as multiplying the reciprocal of the fraction. What is the reciprocal of a fraction? It's essentially the same fraction, just the numerator and denominator switching places (flipping the fraction upside down). Knowing this, the following is true:

$5/\frac{1}{3} = 5*\frac{3}{1}$

We also need to know that whenever the denominator of a fraction is 1, the fraction is equal to the numerator itself. Knowing this, the following is also true:

$\frac{3}{1}=3$

Applying this to the first concept, we can say that:

$5*\frac{3}{1} = 5*3$

I hope this helps!

You might be interested in

How I solve 11−12y=3+6x for y.

Ganezh [65]

Answer: Y = -x/2+2/3

3 0

3 years ago

What is the distance from point (– 1, 3) to the line 3x – 4y = 10?

natta225 [31]

Answer:

5 units

Step-by-step explanation:

The distance from a point (m, n ) to the line Ax + By + C = 0 is given by

d = $\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }$

For the point (- 1, 3 ) , with m = - 1 and n = 3

3x - 4y = 10 ( subtract 10 from both sides )

3x - 4y - 10 = 0

with A = 3 , B = - 4 , C = - 10

d = $\frac{|3(-1)+(-4)3-10|}{\sqrt{3^2+(-4)^2} }$

= $\frac{|-3-12-10|}{9+16}$

= $\frac{|-25|}{\sqrt{25} }$

= $\frac{25}{5}$

= 5

5 0

2 years ago

Find the values of x, y, and z. The diagram is not to scale.

rosijanka [135]

Answer:

x= 81°, z= 99°, y°=68°

Step-by-step explanation:

considering the part of the triangle where 36° , 63° and x° is located as ΔABC.

to find the measure of x we use angle sum property.

We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.

so,

∠A + ∠B +∠C = 180°

36° + 63° + x° = 180°

99° + x° = 180°

x° = 180 - 99

x° = 81°

When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.

x° + z° = 180°

81° + z = 180°

z= 180 - 81

z= 99°

considering the next part of the triangle where 13° , z° and y° is located as ΔACD

to find the measure of y we use angle sum property.

∠A + ∠C + ∠D = 180°

13° + z° + y° = 180°

13°+99°+y°= 180°

112°+ y° = 180°

y°= 180- 112

y° = 68°

5 0

2 years ago

logan drov from new orland to nashvill to visit friends his speed limit is 60 miles per hour if logans driving for the trip was

Alina [70]

Answer:

540 miles

Step-by-step explanation:

60 times 9

4 0

2 years ago

Teddy was having trouble fitting into his clothes due to weight gain. In January, he weighed 180 lbs 6 oz. He gained 3 lbs 9 oz,

barxatty [35]

He weighs 196 lbs and 6 ounces. if you add the pounds (180 to 3, 5, 6)you get 194. then you add he ounces, and remember that there are 16 ounces in a pound and 8 ounces in a cup, (6 to 9, 12, 11) you get 2lbs and 6 ounces. then you add the 2 extra pounds to the 194 and you get, all together, 196 lbs and 6 ounces.

7 0

3 years ago