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iogann1982 [59]

3 years ago

13

Bella weighs 3 pounds. When she is an adult cat, she will weigh about 435% as much as her current weight. Write 435% as a fra

ction and as a decimal.

1 answer:

german3 years ago

7 0

<h2>The answer is </h2><h2>435% = 87/20</h2>

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During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equa

Aleonysh [2.5K]

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

7 0

3 years ago

Read 2 more answers

At a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progr

dmitriy555 [2]

X = number of singles matches
y = number of doubles mnathes

so we have the equation x + y = 13.......(1)

also

2x + 4y = 38 ...........(2)

(1) and (2) are the required equations

b) Find how many maches are in progress by solivng the above equations:-

x + y = 13 multiply this by -2:-
-2x - 2y = -26
2x + 4y = 38 Adding to removes the terms in x:-

2y = 12

y = 6

so x = 13-6 = 7

So the answer is 6 double matches and 7 singles are in progress.

5 0

3 years ago

An expression is given

vovangra [49]

Step-by-step explanation:

The coefficients are 4, 5 and 7

There is no constant

The second one is right

8 0

3 years ago

Read 2 more answers

The Students' Union needs to order some pens and notebooks. How much does it cost to order 1000 pens and 2000 notebooks? $ Cost

NeX [460]

Answer:

Then, it costs $2120 to order 1000 pens and 2000 notebooks.

Step-by-step explanation:

The Students' Union needs to order 1000 pens and 2000 notebooks. The price per pen when buying 1000 of them is 60c. The price per notebook when buying 2000 of them is 76c.

Then the total of money needed to order 1000 pens and 2000 notebooks is:

Total Money = 1000 × 0.60 + 2000 × 0.76 = $2120

Then, it costs $2120 to order 1000 pens and 2000 notebooks.

6 0

4 years ago

A train travels from Tutuban to Calamba station. The distance between Tutuban and Calamba is defined by the function d(x) = x4 +

svlad2 [7]

given :

d(x) = x^4 + x^3 + 3x^2 + 4x - x kilometers.

t(x) = x

presumably the same value of x is used in both equations.

distance traveled is a function of time traveled, and that this relationship is preserved for any given speed.

Formula

r × t = d

r is the rate in kilometers per hour.

t is the time in hours.

d is the distance in hours.

based on the formulas you are given, this becomes:

r * t(x) = d(x)

if the train travels for 2 hours, then:

t(x) = t(2) = 2

d(x) = x^4 + x^3 + 3x^2 + 4x - x

d(2) = 2^4 + 2^3 + 3*2^2 + 4*2 - 2

d(2) = 42.

hence, t(2) = 2 and d(2) = 42

if the trip takes 2 hours, then the distance traveled is 42 kilometers based on the value of x = 2 in both equations.

the rate * time = distance equation of r * t(x) = d(x)

r × 2 = 42

r = 42/2

= 21.

this says the train will travel 42 kilometers in 2 hours if the train travels at 21 kilometers per hour.

4 0

3 years ago