-23, -36, 23, 10
This is because when you subtract a positive number it is the same as adding a negative number, and when you subtract a negative number, it iss the same as adding a positive number.
First take the fractions and find their common denominator:
x 4 =
Now you can add the fractions:
Now add your whole numbers and the fraction:
1+1= 2 >> 2+
= 2
yards
Now subract 2
from 5:
5-2
=
2
yards
Answer:
80
Step-by-step explanation:
every triangle adds up to 180 sort of, in this case, turn 4 into 40. 40+20=60 so add 80 to be 180!!!
Answer:
The measure of the angle ABD is:
m∠ABD = 122°
Step-by-step explanation:
Given
m∠ABC = 84°
m∠CBD = 38°
To determine
Find m∠ABD
The given diagram shows that m∠ABD is the sum of m∠ABC and m∠CBD.
In other words,
m∠ABD = m∠ABC + m∠CBD
substituting m∠ABC = 84° and m∠CBD = 38°
m∠ABD = 84° + 38°
m∠ABD = 122°
Therefore, the measure of the angle ABD is:
m∠ABD = 122°
Answer:
400 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x
Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x
The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:
1500 = 1000 + 5x
5x = 1500 - 1000
5x = 500
x = 100 minutes.
1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb
Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt
