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vovangra [49]
2 years ago
10

The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two

numbers
Mathematics
1 answer:
Savatey [412]2 years ago
5 0

Answer:

The two numbers are:

30 and 18

Step-by-step explanation:

a + b = 48

a - b = 12

From the first eq.

a = 48 - b

Replacing this last value in the second eq.

(48 - b) - b = 12

48 - 2b = 12

48 - 12 = 2b

36 = 2b

36/2 = b

18 = b

from the first eq.

a + 18 = 48

a = 48 - 18

a = 30

Check:

from the second eq.

a - b = 12

30 - 18 = 12  

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Find the number of tiles required to be put in a floor with dimensions 25 m x 20 m. Each tile is a rhombus with side 25 cm altit
Romashka-Z-Leto [24]

Answer:

8000

Step-by-step explanation:

Area of floor=25×20m

=500²

Area of each tile=area if each rhombus

=25×25=625cm²

No. of tiles required= area of floor/ area of each tile

=500×104⁴/ 625

=4/5 ×10×1000

=8000

hope it helps!

6 0
2 years ago
Which statement(s) is (are) correct?
Anna71 [15]

Answer:

<em>statements 3 and 4 are correct.</em>

Step-by-step explanation:

(1)

The probability of choosing cured pasta and bear= probability that the card is king.

Hence, The probability of choosing cured pasta and bear=\dfrac{4}{52}=\dfrac{1}{13}

Probability of choosing baked cucumber and lime mutton=probability that the card is 3.

as there are 4 cards that are '3'.

Hence Probability of choosing baked cucumber and lime mutton=\dfrac{4}{52}=\dfrac{1}{13}

as both the probabilities are equal.

Hence statement 1 is incorrect.

(2)

The probability of choosing gooseberry & passion fruit cheesecake= Probability taht the card is ace.

as there are 4 cards which are ace out of 52 cards.

Hence, The probability of choosing gooseberry & passion fruit cheesecake=\dfrac{4}{52}=\dfrac{1}{13}

probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.

As there are 12 face cards out of 52 cards.

Hence, probability of choosing poached fennel & lemon alligator=\dfrac{12}{52}=\dfrac{3}{13}

Hence, the probability of choosing gooseberry and passion fruit cheesecake is smaller than the probability of choosing poached fennel & lemon alligator.

Hence statement 2 is false.

(3)

The probability of choosing a praline wafer=probability that the card is a diamond.

as there are 13 diamond cards out of 52 cards.

The probability of choosing a praline wafer=\dfrac{13}{52}=\dfrac{1}{4}

the probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.

As there are 12 face cards out of 52 cards.

Hence, probability of choosing poached fennel & lemon alligator=\dfrac{12}{52}=\dfrac{3}{13}

Hence, The probability of choosing a praline wafer is greater than the probability of choosing poached fennel & lemon alligator.

Hence statement 3 is correct.

(4)

The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.

As there are 26 red cards out of 52 cards.

Hence,  

The probability of choosing pressure-cooked mushroom & garlic chicken =\dfrac{26}{52}=\dfrac{1}{2}

probability of choosing an oven-baked apple & lavender calzone =probability that the card is black.

As there are 26 red cards out of 52 cards.

Hence,  probability of choosing an oven-baked apple & lavender calzone=\dfrac{26}{52}=\dfrac{1}{2}

Hence, The probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing an oven-baked apple & lavender calzone are the same.

Hence statement 4 is true.

(5)

The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.

As there are 26 red cards out of 52 cards.

Hence,  

The probability of choosing pressure-cooked mushroom & garlic chicken =\dfrac{26}{52}=\dfrac{1}{2}

the probability of choosing a praline wafer=probability that the card is a diamond.

as there are 13 diamond cards out of 52 cards.

The probability of choosing a praline wafer=\dfrac{13}{52}=\dfrac{1}{4}

Hence, the probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing a praline wafer are not same.

Hence, statement 5 is not correct.


6 0
3 years ago
A cylinder shaped container has a radius of 30 cm and a height of 100 cm. A glass sphere with a redius of 12 cm is placed inside
Artemon [7]
Vcylinder-Vsphere=water


Vcylinder=hpir^2
Vsphere=(4/3)pir^3


given

cylinderradius=30 and h=100
Vcylinder=100pi30^2=100pi900=90000pi
let's leave it in terms of pi for more exactness

sphereradius=12
Vsphere=(4/3)pi12^3=2304pi


cylinder-sphere=90000pi-2304pi=87696pi
using pi=3.14
water=275365.44 cubic cm

last option is corrrect
4 0
3 years ago
Perform the operation. (-2x^2-4x+2)-(-6x+2) (−2x 2 −4x+2)−(−6x+2)
AleksandrR [38]

Answer:

-50x^2+30x-4

Step-by-step explanation:

4 0
3 years ago
40 is what percent of 160?
mash [69]

Answer:

25

Step-by-step explanation:

percentage calculator 40 is what percent of 160=25;)

4 0
3 years ago
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