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svp [43]
3 years ago
11

Samantha and Jerrod were at the park, sitting on a park bench together. They decided to look at a fountain on their way home. Je

rrod got distracted, and went to go look at a flower on the way from the park bench to the fountain. Samantha went directly to the fountain. How much further did Jerrod walk than Samantha did? (Assume the locations form a right triangle) 17 yards 7 yards 8 yards​

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0

Answer:

Step-by-step explanation:

hdhf

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Help PLEASE this is 99 points what is the prime factorization of 270?
serg [7]

270 = 27 * 10

 = 3*9     * 5*2

 = 3 *   3*3  * 5*2


in order from smallest to largest

2*3*3*3 *5

5 0
2 years ago
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List three ways to express 3^5 as a product of powers
adelina 88 [10]
3^5
3 x 3 x 3
3:5 <- I think
3 0
2 years ago
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Two cars leave town at the same time and travel in opposite directions. Speed of car A is 12 km/h more than car B. They are 312k
Zina [86]

Answer:

Speed of car B is 33 km/h and speed of car A is 45\,\,km/h

Step-by-step explanation:

Let speed of car B be x km/h

Speed of car A is 12 km/h more than car B.

Therefore,

Speed of car A = (12+x) km/h

Distance = Speed × Time

Distance travelled by car A in 4 hours = 4(12+x) km = (48+4x) km

Distance travelled by car B in 4 hours = 4x km

Also, cars A and B are 312km apart after 4 hours.

48+4x+4x=312\\48+8x=312\\8x=264\\\\x=\frac{264}{8}\\\\x=33\,\,km/h

Speed of car B is 33 km/h and speed of car A is 12+x=12+33=45\,\,km/h

5 0
2 years ago
Car lot one has a car to truck ratio of 3:4. Car lot two has a car to truck ratio of 2:3. Which car lot has more cars when both
Pani-rosa [81]

Answer:

this means that lot 1 would have more cars. there were 3 cars in lot 1 and 2 in lot 2

Step-by-step explanation:

lot 1-          lot 2-

3:4             2:3

if both have 12 trucks, you need to multiply the number of cars with the number you used to make the trucks 12

3:4 would turn into 9:12

2:3 would be 8:12

this means that lot 1 would have more cars. there were 3 cars in lot 1 and 2 in lot 2

4 0
3 years ago
According to DeMorgan 's theorem, the complement of W · X + Y · Z is W' + X' · Y' + Z'. Yet both functions are 1 for WXYZ = 1110
sergeinik [125]

Answer:

The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.

Step-by-step explanation:

According to DeMorgan's Theorem:

(W.X + Y.Z)'

(W.X)' . (Y.Z)'

(W'+X') . (Y' + Z')

Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.

For the original function:

(W . X + Y . Z)'

= (1 . 1 + 1 . 0)

= (1 + 0) = 1

For the compliment:

(W' + X') . (Y' + Z')

=(1' + 1') . (1' + 0')

=(0 + 0) . (0 + 1)

=0 . 1 = 0

Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.

Without the parenthesis the compliment equation looks like this:

W' + X' . Y' + Z'

1' + 1' . 1' + 0'

0 + 0 . 0 + 1

Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.

Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.

3 0
3 years ago
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