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Phantasy [73]
2 years ago
6

Skylar and Wyatt both play soccer. Wyatt scored 2 times as many goals as Skylar. Together they scored 15 goals. Could Skyler hav

e scored 3 goals? Why or why not?
A: No, because 3(2) + 3 ≠ 15.
B: No, because 3(2) ≠ 15.
C: Yes, because 3 goals is less than the total number of goals scored.
D: Yes, because 3 goals is less than the number of goals Wyatt scored.
Mathematics
1 answer:
Airida [17]2 years ago
5 0

Answer:

A: No, because 3(2) + 3 ≠ 15.

Step-by-step explanation:

S= skylar     2S=wyatt

S+ 2S=15

3S=15

S=5

Skylar 5 goals     Wyatt 10 goals

5  +(2*5)  =  5+10 = 15

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alex41 [277]

Answer:

8 15/16 inches

Step-by-step explanation:

just multiply 2 3/4 by 3 1/4

5 0
2 years ago
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Avon Edwards worked 45.5 hours at $5 per hour. He made $100 in tips but no bonuses. Anything over 40 hours is paid time-and-a-ha
posledela

Answer:

1. D

2. B


Step-by-step explanation:

<u>Question 1:</u>

We can get Avon's earnings using the equation  W=HR+1.5VR+B+T

Where W is his earnings

HR is the regular hours (40 hours in this case)

V is overtime hours (hours over 40, 45.5 - 40 = 5.5 hours)

B is bonus (no bonus)

T is tips ( $100 tips, given)

and R is the rate (which is $5 per hour)


<em>Substituting the given info into the equation, we get:</em>

<em>W=HR+1.5VR+B+T\\W=(40)(5)+1.5(5.5)(5)+0+100\\W=341.25</em>


<em>So avon's earnings are $341.25</em>

<em>Answer choice D is right.</em>


<u>Question 2:</u>

The other employee needs to work x hours @ $15 per hour to equate or surpass $428. So we can set up the equation shown below and solve for x:

(15)(x)=428\\x=\frac{428}{15}\\x=28.53

Rounded to 1 decimal place, this is about 28.5 hours

Answer choice B is right.


6 0
2 years ago
Read 2 more answers
Identify two numbers less than 20 with the most factors
Anastaziya [24]

<u>Answer</u>

18 and 12


<u>Explanation</u>

Factor is a number or algebraic expression that divides another number or expression evenly that is with no remainder.

Odd number have few factors so the can't be the answer.

WE are going to try the even numbers.

18 ⇒ 18, 9, 6, 3, 2, 1

16 ⇒ 16, 8, 4, 2, 1

12 ⇒ 12, 6, 4, 3, 2, 1

10 ⇒ 10, 5, 2, 1

Other number less than 10 has factors less than 5.

It can be seen from above that 18 and 12 have the most factors.

3 0
2 years ago
Read 2 more answers
Please help, I am having some difficulty with this problem! The Varners live on a corner lot.​ Often, children cut across their
Kipish [7]

Answer:

17.262 feet

Step-by-step explanation:

Assuming they are cutting through using the hypotenuse, the distance they save is x+4+x-42, and is thus 2x-38.

The triangle can be solved using pythag to find the exact distance.

17.262 feet

7 0
2 years ago
To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical
denis23 [38]

Answer:

A)196J

B)-208J

C)3467J

Step-by-step explanation:

We are given that a 20 kg cylindrical  mass is dropped onto the mat from a height of 1 m above the mat. During the impact,  the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to  only 4 cm thick.

So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m

a)

Using Conservations of energy

Potential energy at the top = Kinetic energy at the point before touching the surface

Kinetic energy = mgh= 20 \times 9.8 \times 1 = 196 J

b)

Work done  by the mat do to stop the fall of the cylinder =-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J

C)

Work done=\text{Average force} \times \text{ Compression of mat}

208=F \times 0.06

F=3467J

8 0
2 years ago
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