Answer:
Velocity=Speed/Time
s = 150/2.5 = 60 miles per hour
To cover 270 miles, it will take
270/60 = 4.5 hours
Let:
x= quarters
y= dimes
x+y=67
and
.25x+.10y=12.40
x=67-y
.25(67-y)+.10y=12.40
16.75-.25y+10y=12.40
16.75-.15y=12.40
Lets rearrange this:
-.15y+16.75=12.40
-16.75 -16.75
-.15y=-4.35
the negatives cancel out
.<u>15y</u>=<u>4.35
</u>.15<em /><em> <u /></em>.15
y=29
Back to the original x=67-y
x=67-29
x=38
So,
x=38
y=29
<em />
3d + 4 = 2 + 3d - 1/2
3d + 4 = 1 1/2 + 3d |subtract 3d from both sides
4 = 1 1/2 FALSE
Answer: No solution ( x ∈ ∅ )
Answer:
Step-by-step explanation:
In representing mixed numbers on a number line, we need first to pay attention to the denominators. Here, denominators are 8 and 5, their least common multiple is 40, so, we will need to cut up space between two numbers on the number line on 40 pieces. Also, we have 5 and 3 wholes at these mixed numbers, so, our answer is going to be greater than 8.
We will cut the space between 8 and 9 on a number line on 40 pieces, and we will add 
and 
and get :
So, on a number line between 8 and 9 we need to count 31 out of 40 pieces and that is the result, 8 wholes and 
.
Answer:
m∠A = 139°
Step-by-step explanation:
First we must know that
Supplementary angles equal to 180 degree.
Since we know that supplementary angles equal to 180 degree we can solve now:
Putting m ∠A and m ∠ B together and put the = 180
( 7x - 15 ) + ( 2x - 3 ) = 180
Now solving for x:
( 7x - 15 ) + ( 2x - 3 ) = 180
9x - 18 = 180
9x - 18 + 18 = 180 + 18
9x = 198
9x/9 = 198/9
x = 22
Hence, Angle A will have a measure of 7x - 15 which means 7 × 22 -15 = 154 - 15 = 139°
m∠A = 139°
The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°
m∠ B = 41°
139 + 31= 180
<u><em>[RevyBreeze]</em></u>
