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nika2105 [10]
4 years ago
15

Decrease 960 ML by 33 and one-third%

Mathematics
1 answer:
AnnZ [28]4 years ago
7 0
To do this, first, find the decimal of 1/3.  You will divide 1 by 3.  This equals .333333333(goes on forever).  Put a repeating bar over the first 3 to show that it goes on forever (put this: - over the .3) Now divide to find out how much you will need to subtract by. 960*33.3(with - over .3)=28.8.  Subtract 28.8 from 960 (960-28.8=931.2)  931.2 is the answer.
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Find all sides of a right triangle whose perimeter is equal to 60 cm and its area is equal to 150 square cm
miskamm [114]

Answer:

15cm by 20cm by 25cm

Step-by-step explanation:

Let the sides of the right angle be x, y and h

x is the breadth

y is the height

h is the hypotenuse

Perimeter = x + y + h

x + y +h  = 60

x+y = 60-h .... 1

If its area is equal to 150 square cm, then;

Area = 1/2 * base * height

Area = 1/2 *x * y

xy/2 = 150

xy = 300 ....2

According to pythagoras theorem;

x² + y² = h²

On expanding x² + y²

x² + y² = (x+y)² - 2xy

The equation becomes

(x+y)² - 2xy = h² ... 3

Substitute equation 1 and 2 into 3;

From 3;

(x+y)² - 2xy = h² ... 3

(60-h)² - 2(300) = h²

3600-120h + h² - 600 = h²

3600-120h - 600 = 0

-120h = 600-3600

-120h = -3000

h = 3000/120

h = 25cm

Recall that x+y+h = 60

x+y+25 = 60

x+y = 60 - 25

x+y = 35 ... 4

From equation 2;

xy = 300

x = 300/y ..... 5

Substitute 5 into 4;

300/y + y = 35

(300+y²)/y = 35

300+y² = 35y

y²-35y + 300 = 0

y²-20y-15y + 300 = 0

y(y-20)-15(y-20) = 0

y-20 = 0 and y - 15 =0

y = 20 and 15

since x+y = 35

x + 20 = 35

x = 35 - 20

x = 15

Hence the sides of the triangle are 15cm by 20cm by 25cm

8 0
3 years ago
The sum of two mixed numbers with unlike denominators is 5 3/5. What might the two mixed numbers be? Show as many different solu
Alika [10]

https://www.calculatorsoup.com/calculators/math/mixednumbers.php

this site is a fraction calculator, it what i use try it!

8 0
3 years ago
Hi I'm in 4th grade and I need help. Pls
BartSMP [9]

Answer:

D) x  = 13/7

Each platter will have 2 loaves.

Step-by-step explanation:

13 by 7 = 1.857...

Estimate 1.857 = 2

Hope it helps!

6 0
3 years ago
Read 2 more answers
Please help me on problem 5
kirill115 [55]
So,

The chart tells us that the people that registered for soccer is 45.
The chart also tells us that the people that registered for basketball is 35.

45 - 35 = 10

10 more people registered for soccer than for basketball.
6 0
4 years ago
Read 2 more answers
Help me pls need help​
frez [133]

Problem 1

w = width

w+36 = length, because it's 36 feet longer compared to the width

=======================================================

Problem 2

The area w(w+36) is less than 2040, and it's also larger than 0.

We can write that as 0 \le w(w+360) \le 2040 which is the same as 0 \le w^2+360w \le 2040

If you wanted to drop the first part, then you can say either w(w+360) \le 2040 or w^2+360w \le 2040

I used the formula area = length*width

=======================================================

Problem 3

There are many possibilities here. Let's say w = 10 feet. If so then the length would be w+36 = 10+36 = 46 feet. This 10 by 46 rectangle has an area of 10*46 = 460 square feet which is under the 2040 sq ft limit.

Another possibility is that w = 20 ft and w+36 = 56. This 20 by 56 rectangle has an area of 20*56 = 1120 sq ft.

It turns out you can pick any value of w between 1 and 30, assuming you only restrict yourself to integers. You can find the largest possible value of w by solving the equation w(w+36) = 2040. The positive solution to this equation is roughly w = 30.62

Side note: even though something like w = 1 is possible, it's not very realistic. A conference hall that's only 1 ft wide won't be able to fit a person comfortably unless they don't mind being sandwiched between two walls and have to walk sideways.

=======================================================

Problem 4

If you solved w(w+36) = 360 with a graphing calculator or the quadratic formula, then you would find the positive solution for w is roughly 8.15

If your teacher is considering positive real numbers, then this is realistic; however, if they are only considering positive integers, then something like w = 8.15 isn't possible.

5 0
3 years ago
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