<h3>
Answer:</h3>
- Option A
- Option D
<h3>
Solution:</h3>
- In order to multiply fractions, we should multiply the numerator of the first fraction times the numerator of the second fraction, like so:
- 3•5=15
- Do the same with the denominator:
- 10•7=70
- 15/70 is the answer.
- Same with the other fractions:
- 7•2=14
- 10•4=40
- Hence, 14/40 is the answer.
Hope it helps.
Do comment if you have any query.
Answer:
38.(D)
Step-by-step explanation:
Diameter=2R
Which gives u 19+19= 38
Answer: Downhill:10mph Uphill:5mph
Step-by-step explanation:
We are looking for Dennis’s downhill speed.
Let
r=
Dennis’s downhill speed.
His uphill speed is
5
miles per hour slower.
Let
r−5=
Dennis’s uphill speed.
Enter the rates into the chart. The distance is the same in both directions,
20
miles.
Since
D=rt
, we solve for
t
and get
t=
D
r
.
We divide the distance by the rate in each row and place the expression in the time column.
Rate
×
Time
=
Distance
Downhill
r
20
r
20
Uphill
r−5
20
r−5
20
Write a word sentence about the time.
The total time traveled was
6
hours.
Translate the sentence to get the equation.
20
r
+
20
r−5
=6
Solve.
20(r−5)+20(r)
40r−100
0
0
0
=
=
=
=
=
6(r)(r−5)
6
r
2
−30r
6
r
2
−70r+100
2(3
r
2
−35r+50)
2(3r−5)(r−10)
Use the Zero Product Property.
(r−10)=0
r=10
(3r−5)=0
r=
5
3
The solution
5
3
is unreasonable because
5
3
−5=−
10
3
and his uphill speed cannot be negative. So, Dennis's downhill speed is
10
mph and his uphill speed is
10−5=5
mph.
Check. Is
10
mph a reasonable speed for biking downhill? Yes.
Downhill:
10 mph
5 mph⋅
20 miles
5 mph
=20 miles
Uphill:
10−5=5 mph
(10−5) mph⋅
20 miles
10−5 mph
=20 miles
The total time traveled was
6
hours.
Dennis’ downhill speed was
10
mph and his uphill speed was
5
mph.
Answer:
208 
Step-by-step explanation:
We can find the area of the net by adding up the area of each of the 6 rectangles that make up the net. Since two of each rectangle are the same, we only have to find the area of the 3 different sized rectangles and multiply each by 2.
Rectangle pairs are:
- Left rectangle and right rectangle
- Top rectangle and the rectangle above the bottom rectangle
- Bottom rectangle and the rectangle surrounded by all for sides
Now, let's solve the question.
Left rectangle:
6 x 4 = 24, rectangle has area of 24 squared cm
Top rectangle:
6 x 8 = 48, rectangle has area of 48 squared cm
Bottom rectangle:
4 x 8 = 32, rectangle has area of 32 squared cm
Add up the areas:
(24 x 2) + (48 x 2) + (32 x 2) = 208
The rectangle has a surface area of 208 squared cm
Answer:
x=14.5
PLEASE MARK BRAINLIST!!
Step-by-step explanation:
2x=29
Divide by 2 on both sides:
x=14.5
