Answer:
- 8 3/4
- 2, 3
- 4 1/2, 11 1/4
- 9 3/4, 16 1/4
- Y/B = 2/3
Step-by-step explanation:
<h3>a)</h3>
The first line is simply the sum of the two given numbers.
3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4
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To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...
Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3
Then ...
Y : B : total = 2 : 3 : 5
This tells you the numbers on the second line are ...
Y = 2; B = 3
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The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...
Y = 2(2 1/4) = 4 1/2
total = 5(2 1/4) = 11 1/4
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The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...
B = 3(3 1/4) = 9 3/4
total = 5(3 1/4) = 16 1/4
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<h3>b)</h3>
The equation is the one we used to find the values on the second line:
Y/B = 2/3
Answer:
<h2>A.Multiplication Property of Equality</h2>
Step-by-step explanation:
The time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
- A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph.
- how long will it take the boat to travel 36 miles downstream and 36 miles upstream?
The time taken by the boat upstream will be calculated as:-
( B + W ) Td = D
( 12 + 3 ) Td = 32
( 15 ) Td = 32
Td = 32 / 15 = 2.1 hours
The time taken by the boat downstream will be calculated as:-
( B - W ) Tu = D
( 12 - 3 ) Tu = 32
9 Tu = 32
Tu = 32 / 9 = 3.56 hours.
Therefore the time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.
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Answer:
Assuming that v0 represents the initial velocity, then v0 = 96 ft/s. Substitute this value into h(t) and set the equation equal to 48. Then, write this quadratic equation in standard form, which is ax² + bx+ c = 0, where a, b, and c are constants. Either use factoring or the Quadratic Function to solve the equation for t. Remember that t must be positive, because it represents a unit of time.
The answer is c. forgive me if i am wrong
