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Kazeer [188]
3 years ago
10

Katie bought five packages of stickers with 25 stickers in each package she also bought three boxes of markers with 12 markers i

n each box if she receives eight stickers from a friend how many stickers and markers does Katie have now
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
8 0

Answer:

  • 133 stickers
  • 36 markers

Step-by-step explanation:

  # stickers = (# stickers in each package) × (# of packages)

  = 25 × 5 = 125

The friend added 8 stickers, so the total is ...

  125 + 8 = 133 . . . number of stickers

__

  # of markers = (# markers in each box) × (# of boxes)

  = 12 × 3 = 36 . . . . number of markers

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Joaquin is constructing the perpendicular bisector of ab. What should be his first step?
natali 33 [55]

Answer:

D. Open the compass so that the distance from the two points of the compass is wider than half the length of \over{AB}.

Step-by-step explanation:

To construct a perpendicular for \over{AB}, we must first take a compass & take the distance of its arms wider than half the length of \over{AB}.

This is done in order to get two intersecting arcs in the top & bottom of \over{AB} so that a perpendicular bisector can be drawn through it.

After two intersecting lines are drawn below & above \over{AB}, draw a line joining these 2 points through their points of intersection. The point where it intersects \over{AB} is the middle-most point of \over{AB} & now a perpendicular bisector of \over{AB} is constructed.

\rule{150pt}{2pt}

3 0
2 years ago
An aeroplane X whose average speed is 50°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then
Zigmanuir [339]

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.

Distance = Speed X Time

Therefore: PQ =50km/hr X 2 hr =100 km

It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, QA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

\angle Q=110^\circ

(a)First, we calculate the distance traveled, PA by plane Y.

Using Cosine rule

q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)

(b)Flight Direction of Y

Using Law of Sines

\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)

The direction of flight Y to the nearest degree is 39 degrees.

7 0
3 years ago
Solve r/6=18<br><br> a 24<br><br> b 3<br><br> c 108 <br><br> d 12
Advocard [28]
Answer:
c 108

Explanation:
r/6=18
Multiply both sides by 6 to cancel it out on the left side
6r/6=18*6
r=18*6
r=108

I hope this helps!
6 0
3 years ago
Micaela is 2 years older than Sam. In 4 years, the sum of their ages will be 40. How old is Micaela now? Sam is 15.
Brut [27]
If Micael is 2 years older than sam and sam is 15 than than micael is 17
5 0
3 years ago
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1. Yvonne closes her eyes and picks a candy from the bag, hoping for a blueberry. What are the chances she will pick a blueberry
elixir [45]

how many candy in the bag

5 0
3 years ago
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