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morpeh [17]
3 years ago
7

The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

d \propto  v^2

$\implies d=kv^2$

substitute the given values, $5=k(10)^2\implies k=\frac1{20}$

now, $d=\frac{1}{20}\times( 70)^2=\frac{70\times70}{20}=245$

A big blunder from my side, now fixed!

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Two cakes were cut into 8 slices iate 1/8 of the carrot cake . Iate 1/2 of the carrot cake .Me ate 1 slice of each. I ate three
FromTheMoon [43]

Answer:

There are 6 slices left.

Step-by-step explanation:

The remaining slices are:

Carrot Cake

x = \left(\frac{8}{8}  -\frac{1}{8} -\frac{4}{8} -\frac{1}{8}  \right)\cdot 8

x = 2

Chocolate Cake

y = \left(\frac{8}{8} - \frac{1}{8} - \frac{3}{8}  \right)\cdot 8

y = 4

There are 6 slices left.

7 0
3 years ago
At the county fair, Darius can purchase 3 candy apples and 4 bags of peanuts for $11.33. He can purchase 9 candy apples and 5 ba
Ksenya-84 [330]
Let c represents the cost of a candy apple and b represents the cost of a bag of peanuts.

Darius can purchase 3 candy apples and 4 bags of peanuts. So his total cost would be 3c + 4b. Darius can buy 3 candy apples and 4 bags of peanuts in $11.33,so we can write the equation as: 

3c + 4b = 11.33   (1)

Darius can purchase 9 candy apples and 5 bags of peanuts. So his total cost would be 9c + 5b. Darius can buy 9 candy apples and 5 bags of peanuts in $23.56,so we can write the equation as: 

9c + 5b = 23.56   (2)

<span>Darius decides to purchase 2 candy apples and 3 bags of peanuts. The total cost in this case will be 2c + 3b. To find this first we need to find the cost of each candy apple and bag of peanuts by solving the above two equations.

Multiplying equation 1 by three and subtracting equation 2 from it, we get:

3(3c + 4b) - (9c + 5b) = 3(11.33) - 23.56

9c + 12b - 9c - 5b = 10.43

7b = 10.43

b = $1.49

Using the value of b in equation 1, we get:

3c + 4(1.49) = 11.33

3c = 5.37

c = $ 1.79

Thus, cost of one candy apple is $1.79 and cost of one bag of peanuts is $1.49.

So, 2c + 3b = 2(1.79) + 3(1.49) = $ 8.05

Therefore, Darius can buy 2 candy apples and 3 bags of peanuts in $8.05</span>
3 0
3 years ago
I’m confused nd stuck
andreev551 [17]

Answer:

B. (4,2)

Step-by-step explanation:

The answer is where the lines intersect.

Hope this helps!

If not, I am sorry.

6 0
2 years ago
Read 2 more answers
PLS SOMEONE HELP ME
Anarel [89]
A and D are 85 degrees
4 0
3 years ago
How can you express 11 x 7 using the distributive property?
artcher [175]

Answer:

77 < answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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