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3 years ago

Write five fractions that each simplify to one-ninth

1 answer:

3 0

2/18
3/27
4/36
5/45
6/54

Take any number let's say 9
Then 9/9 = 1
Or 9/9 = 1/1
Then if you multiply the bottom half of those by 9, you get
9/9 becomes 9/81
and
1/1 becomes 1/9

So to generate any fraction equivalent to 1/9
take any number and write it as one, i.e. 5/5 = 1 (or 1/1)
and then multiply the bottom part by 9 = 5/45

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Lizette wanted to see if it would be possible to use a little less materials in a tea infuser but still not be required to be at

Oksi-84 [34.3K]

Considering the volume of a rectangular prism, since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

<h3>What is the volume of a rectangular prism?</h3>

The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

The original dimensions are:

h = 7.9 cm, l = 3 cm, w = 1.5.

Hence the volume in cm³ was:

V = 7.9 x 3 x 1.5 = 35.55 cm³.

The infuser was filled to 80% capacity, hence:

Vf = 0.8 x 35.55 = 28.44 cm³.

For the new dimensions, we have that h = 7 cm, hence the volume is:

Vn = 7 x 3 x 1.5 = 31.5 cm³.

28.44/31.5 x 100% = 90.29%.

Since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

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2 years ago

Which measurement would Jordan need to know when ordering bricks for her patio?

ozzi

C. The total area of the patio.
If you don't know the area you can't know how many bricks you need.

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3 years ago

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20 POINTS WILL GIVE BRAINLIEST HELP QUICKLY!!

SVETLANKA909090 [29]

Answer:

1.function 1 has a greater rate of change than function 2

3. Function 1 has a greater y-intercept than function 2

Step-by-step explanation:

Using the table we can find the slope using

m = (y2-y1)/ (x2-x1)

m = (29-5)/ (8-0)

= 24/8

= 3

The rate of change for the table is 3

The y intercept is (0,5)

Using the graph (0,-1) and (2,0)

m = (y2-y1)/ (x2-x1)

m = (0--1)/ (2-0)

= (0+1)/2

= 1/2

The y intercept is (0,-1)

Since 3>1/2 , function 1 has a greater rate of change than function 2

Since 5>-1, function 1 has a greater y-intercept than function 2

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3 years ago

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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.

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3 years ago

Find the vertex of the given function. f(x) = |x – 5| + 10

Afina-wow [57]

The vertex is 10

Basically, 10 is the lowest value for any given set of values for x

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