Which size bag of cat food shown in table has the lowest unit price?

What fraction equal to 1/2 with a denominator of 6 and a fraction equal to 1/3 with a denominator of 6. Then add the fractions.

horrorfan [7]

Answer:

5/6

Step-by-step explanation:

1/2 + 1/3 need a common denominator to add them up.

1/2 is the same as 3/6.

1/3 is the sane as 2/6.

3/6 + 2/6

Add the tops, but keep the same denominator.

3/6 + 2/6 = 5/6

5/6 cannot be simplified, so that's the answer. That's how you do it! Hope this helps!

7 0

2 years ago

What is the diameter of circle C?

Ganezh [65]

Answer:

$d=2\sqrt{34}$

Step-by-step explanation:

Applying Pythagoras theorem on right angle triangle

$radius=r=\sqrt{(3)^2+(5)^2}$

$r=\sqrt{34}$

Diameter=2 x radius

$d=2r=2\sqrt{34}$

5 0

3 years ago

If Michael drove 135 miles on 6 gallons of gas, how far can he drive on 15 gallons of gas?

laiz [17]

Answer:337.5 miles

Step-by-step explanation:

Find the unit rate 135/6 = 22.5/1

He can drive 22.5 miles on 1 gallon of gas

Then multiply by 15

22.5x15= 337.5

6 0

3 years ago

When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is Sandy, to th

Makovka662 [10]

Answer:

The height of Sandy is 68.74 inches.

Step-by-step explanation:

It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.

Let the height of Sandy be x.

Sandy casts a shadow that is 9 feet 2 inches long.

We know that 1 feet = 12 inches

Using this conversion, we get

Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches

In a right angled triangle,

$\tan\theta =\frac{perpendicular}{base}$

In triangle ABC,

$\tan(\angle C)=\frac{AB}{BC}$

$\tan(32^{\circ})=\frac{x}{110}$

Multiply both sides by 110.

$110\tan(32^{\circ})=x$

$68.73562871=x$

$x\approx 68.74$

Therefore the height of Sandy is 68.74 inches.

8 0

3 years ago

Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is

igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

$x=0(mod5)$

$x=8(mod11)$

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

$x=5m$

$x=11n+8$

$5m\cong 11n+8$

Now, we can say that m>n because m and n are positive integers.

For n=1,

$5m=11(1)+8=19$

$5m=19$

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

$5m=11(2)+8$

$5m=30$

$m=6$

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

$x=5(6)=30$

Therefore the smallest positive integer solution to the given system of congruences is 30.

8 0

3 years ago