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Luden [163]
2 years ago
6

Anil has 2/3 of cake. He ate 4/7 of it. What part of cake has he eaten?

Mathematics
2 answers:
Pani-rosa [81]2 years ago
4 0
2/21 so B is the answer
Jlenok [28]2 years ago
4 0
The answer is B, 2/21. To find the answer for this, you first have to find a common denominator between 2/3 and 4/7. Typically, multiplying each fraction by the denominator of the other fraction will help find the number. In this case, for example, I took 2/3 and multiplied it by 7. As well as taking 4/7 and multiplying it by 3. The answers of this two multiplications are 14/21 and 12/21. By subtracting the 12/21 and the 14/21, you get the final answer of 2/21.
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A rectangular floor tile is shown it dimensions are given to the nearest 0.1 metres the tile is only able to sustain maximum pre
egoroff_w [7]

Answer:

736 N

Step-by-step explanation:

The dimensions of the rectangular tile are:

Length = 2.3m

Width = 1.6m

The pressure exerted on a surface is given by the formula

p=\frac{F}{A}

where

p is the pressure

F is the force exerted

A is the area on which the force is exerted

In this problem, we have:

p=200 N/m^2 is the maximum pressure that the tile is able to sustain

A is the area of the tile, which can be calculated as the product between length and width, so:

A=L\cdot w =(2.3)(1.6)=3.68 m^2

Re-arranging the formula for F, we can find the maximum force that can be safely applied to the tile:

F=pA=(200)(3.68)=736 N

4 0
2 years ago
You are at the bottom of a mountain where the temperature is 74°F. The top of the mountain is 5500 feet above you. What is the t
mamaluj [8]

For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F

 

Given:

Temperature at the bottom of the mountain is 74°F

The top of the mountain is 5500 feet above you

 

Change (reduction) in temperature is 3.3 X 5500 / 1000

= 18.15°F

 

Temperature at the top of the mountain is 74°F – 18.15°F

= 55.85°F

3 0
2 years ago
What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
skelet666 [1.2K]

Answer:  f(x) = (x + 3)(x – 7)

Step-by-step explanation:  Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)

f(x) = a(x-h)² + k   from vertex, h is 2   y is -25   from intercept,  x is 7  f(x) is 0

to find a,  0 = a(7-2)² +(-25)   0 = a(7-2)² -25  add 25 to both sides

25 = a(5)²  25 = 25a  25/25 = a  1=a  (seems useless but verifies implied "a"coefficient is 1)

f(x) = a(x-h)² + k solve to get the quadratic form

f(x) = (x-2)² -25     (x - 2)² is x² -4x +4

f(x) = x² -4x +4 -25  simplify

f(x) = x² -4x - 21   then factor

f(x) = (x + 3)(x - 7)

8 0
2 years ago
Andrew has a new job at the local pizza store as a delivery boy. The following graph shows one of his deliveries he made. Analyz
iren [92.7K]
B. 10 blocks
C. i’m not sure for this one but i’m guessing for directions
D. coming back
4 0
2 years ago
As part of Kayla's exercise program,she either runs 6miles/day or rides her bike 10 miles/day.Her new goal is to cover a minimum
poizon [28]
6(15) + 10b > = 200
90 + 10b > = 200
10b > = 200 - 90
10b > = 110
b > = 110/10
b > = 11

so she can do 15 days of running plus 11 days of biking....which totals 26 days

8 0
2 years ago
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