Answer:
He is incorrect
Step-by-step explanation:
Given
3(x + 1) - 5 = 3x - 2 ← simplify left side
3x + 3 - 5 = 3x - 2
3x - 2 = 3x - 2
Since both sides are equal, then this indicates that the equation has infinite solutions.
Answer:
the buses are at 50 mph and 60 mph
the distance = 210 miles
Step-by-step explanation:
r1 = rate of bus 1
r2 = rate of bus 2
r1 = r2+10 (The speed of one of the buses was 10 mph greater than the speed of the other bus.)
distance = rate * time
for bus 1
distance = r1 * (3.5)
bus 2 was 1/6 short of making it to town b
so it made it 5/6 of the way
5/6 distance = r2 * (3.5)
multiply by 6/5 on each side
distance = 6/5 * r2 * 3.5
set the distances equal
r1 * (3.5)=6/5 * r2 * 3.5
r1 = 6/5 * r2
now set rate 1 equal (r1 = r2+10)
6/5 * r2 = r2 + 10
solve for r2 by subtracting r2 on each side
6/5 r2 -r2 = 10
6/5 = 1.2
1.2 r2 - r2 =10
.2 r2 = 10
divide by .2 on each side
r2 = 10/.2
r2 = 50
r1 = 50 + 10
r1 =60
to find the distance
distance = r1 * (3.5)
distance = 60 * 3.5
distance = 210 miles
Answer:
6 5/8 - 4 = 21
8
= 25
8
= 2.625
Step-by-step explanation:
Conversion a mixed number 6 5
8
to a improper fraction: 6 5/8 = 6 5
8
= 6 · 8 + 5
8
= 48 + 5
8
= 53
8
To find new numerator:
a) Multiply the whole number 6 by the denominator 8. Whole number 6 equally 6 * 8
8
= 48
8
b) Add the answer from previous step 48 to the numerator 5. New numerator is 48 + 5 = 53
c) Write previous answer (new numerator 53) over the denominator 8.
Six and five eighths is fifty-three eighths
Subtract: 53
8
- 4 = 53
8
- 4
1
= 53
8
- 4 · 8
1 · 8
= 53
8
- 32
8
= 53 - 32
8
= 21
8
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 1) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 1 = 8. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - fifty-three eighths minus four = twenty-one eighths.
The answer is 70. hope this helped! ^^
<span>a right triangle the measure, so right angle = 90
let x = other acute angle
</span><span>one acute angle is 8 times the measure of another angle = 8x
</span>
x+8x+90=180
9x=90
x = 10
answer:
<span>measure in degrees of the smallest angle in the triangle = 10</span>
