6/10 = 3/5
Simply divide the numerator and denominator of 6/10 by 2. 6/10 is the same as 3/5.
Answer:
The second one, third one and the fifth one should be correct. (7 to the 18th power divided 7 to the 9th power, 7 to the 3rd power to the 3rd power, and 7 to the 4th power times 7 to the 5th power)
Step-by-step explanation:
7 to the 8th power times 7 equal 40353607 so if you do all the equations shown you can rule out which ones equal 40353607 and which ones don't. Have a nice sleep!
Answer:
36 passengers
Step-by-step explanation:
Maria averages 20 passengers every 20 minutes, so she places 1 passenger per minute.
Sal averages 20 passengers every 25 minutes, so he places 0.8 passenger per minute.
If they work together, they can place (1 + 0.8) passengers = 1.8 passengers per minute.
In 20 minutes, they can load
1.8 passengers/minute * 20 minutes = 36 passengers
Answer:
The length of the third side is between 16 inches and 64 inches.
Step-by-step explanation:
The length of a side of a triangle is between the sum and the difference of the lengths of the other two sides.
First, we need both sides in the same units. Let's convert feet to inches.
2 ft * (12 in.)/(ft) = 24 in.
The sides measure 24 inches and 40 inches.
Now we add and subtract the two lengths.
40 in. + 24 in. = 64 in.
40 in. - 24 in. = 16 in.
The length of the third side is between 16 inches and 64 inches.
Let's solve this problem step-by-step.
First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:
Equation No. 1 -
x + y = 180°
After reading the problem, we can convert it into an equation as displayed as the following:
Equation No. 2 -
3x - 8 + x = 180°
Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:
Equation No. 1 -
x + y = 180°
y = 180 - x
Then, let's make (x) the subject in the second equation & solve as displayed below:
Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°
After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:
y = 180 - x
y = 180 - ( 47 )
y = 133°
We are now able to establish that the value of the two angles are as follows:
x = 47°
y = 133°
In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.
133 is greater than 47 as displayed below:
133 > 47
Therefore, the measure of the larger angle is 133°.
