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Ira Lisetskai [31]
3 years ago
12

Roger has 5,375 trading cards to give away.He gives each of his 4 riends an equal number of cards. If Roger gives each friends t

he greatest number of cards,how many cards does he have leftover?
a 0
b 1
c 2
d 3
Mathematics
2 answers:
Rashid [163]3 years ago
6 0
He has 3 cards left over.
myrzilka [38]3 years ago
5 0
He has 3 cards left over because if you divide 5375 by 4 you get 1343.75 so slowly take away one number each time you divide and when you take away three you get a whole number of 1343 that each of his friends get
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At the fair 4 employees were paid $8.75 an hour to work at a funnel cake stand. They worked 8 hours at regular pay then for 5 ho
nordsb [41]

Answer:

$125.25

Step-by-step explanation:

8.75*h+11.25*e

h is hours regular pay and e is extra pay for overtime. Since its an extra $2.50 for overtime, add that to the regular pay. Put in the hours:

8.75*8+11.25*5

Simplify by multiplying 8.75 by 8

70+11.25*5

Simplify by multiplying 11.25 by 5

70+56.25

Add

70+56.25=126.25

Since it says how much did each earn, as in individually, leave it as it is (unless regular pay was $2.18 an hour, which would be a rip-off). I'm pretty sure including the number of employees was meant to throw you off.

7 0
3 years ago
Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes e
Alex73 [517]

Answer:

Step-by-step explanation:

560=3s+b

b.

560=3×150+b

b=560-450=110

when s=149,b=560-3×149=560-447=113

s=2,b=560-3×2=560-6=554

s=1,b=560-3×1=557

s=0,b=560-3×o=560

so domain of b={110,113,116,...,554,557,560}

7 0
3 years ago
Why is it necessary to learn how to factor if you can just use the quadratic formula to solve quadratic equations?
xxTIMURxx [149]
Because u might need it in the real world.
4 0
3 years ago
Simplify the expression 2p + 3/4p + 6 - p - 3 1/2
lozanna [386]

<u>Answer:</u>

  • The simplified expression is "7p/4 + 2 1/2" or "1.75p + 2.5".

<u>Step-by-step explanation:</u>

  • 2p + 3/4p + 6 - p - 3 1/2
  • => (2p - p + 3/4p) + (6 - 3.5)
  • => 1.75p + 2.5

Hence, the simplified expression is "<u>7p/4 + 2 1/2</u>" or "<u>1.75p + 2.5</u>". Any of these would work.

Hoped this helped.

BrainiacUser1357

7 0
2 years ago
The question is below
Ad libitum [116K]

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

  1. Solve for the length of the fence (aka height)
  2. Find the area of the lawn (trapezoid)
  3. Find the number of cans needed
  4. Find the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

\frac{B_1 + B_2}{2}* h

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

  • 8² + fence² = 17²
  • 64 + fence² = 289
  • 225 = fence²
  • fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

  • A = \frac{B_1 + B_2}{2} * h
  • A = \frac{12 + 20}{2} * 15
  • A = \frac{32}{2} * 15
  • A = 16 * 15 = 240

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

  • 240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

  • 3 * 19.75
  • 59.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : a^2 + b^2 = c^2

  • a is a leg
  • b is a leg
  • c is the hypotenuse

Images attached for your reference

7 0
2 years ago
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