MATHEMATICS HIGH SCHOOL

Jana uses 20 cards to play a memory game the cards are either animal cards or fruit cards. The ratio of animal cards to fruit cards is 2:3 How many if the 20 cards are animal cards? Of the fruit cards, 1/3 have bananas on them. How many cards have bananas on them. Show or explain your work.

Answers

Answer 1

Answer:

Given that,

Total no of cards = 20

The ratio of animal cards to fruit cards is 2:3

No of animal cards = 20

Solution,

Let there are 2x animal cards and 3x fruit cards. ATQ,

2x+3x = 20

5x = 20

x = 4

Animal cards = 2x

= 2(4)

= 8

Fruit cards = 3x

= 3(4)

= 12

It is also mentioned that, of the cards, 1/3 have bananas on them. It means,

$B=(1)/(3)* 12\n\n=4$

Hence, 4 cards have bananas on them.

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9.85 less than the product of 37 and t

Please help will marl brainliest

Answers

180-73-51=56 and so 180-56=124 ?=124

One positive number exceeds 4 times another positive number by 3. The product of the two numbers is 351. What are the two numbers? A) 6 and 9
B) 6 and 24
C) 9 and 39
D) 25 and 29

Answers

Hello,
Answer C 9 and 39.

Let a the first and b the second
a=4b+3
a*b=351

==>b*(4b+3)=351
==>4b²+3b-351=0
Δ=9+4*4*351=5625=75²
==>b=(-3-75)/8 =-9.75 ==>a=4*(-9.75)+3=-36 (excluded) a>0
or b=(-3+75)/8=9 and a=4*9+3=39

Which fractions are equivalent to 4/9?

Answers

Answer:

$(8)/(18)$

Step-by-step explanation:

$(4)/(9) = (4 * 2)/(9 * 2) = (8)/(18) \n$

Answer:

8/18, 12/27, 16/36, 20/45

Which of the following is equivalent to 1/3(6x-12y) ?A.2x - 4y

B.2x + 4y

C.2x - 12y

D.6x - 12y

Answers

1/3(6x-12y)
2x - 4y

the answer is A

The angle of elevation from L to K measures 55°. If JK = 26, find JL. Round your answer to the nearest tenth.A. 37.1
B. 21.3
C. 14.9
D. 26.8

Answers

the angle of elevation is the degree at which you need to look up, therefore the angle between the dotted line, let's call it LM, and line LK is 5 degrees

Angle JLK and Angle KLM are also complimentary angles, meaning that they both add up to 90 degrees, therefore angle JLK = 90-55=35degrees

Now, SOHCAHTOA comes in handy to find JL. Since we know JLK and JK, this is going to be a breeze.
Since the sides we are using are opposite and adjacent to JLK, we are going to use tan.
So: tan = o/a
however, as we don't know a, we need to rearrange the equation so a is on its own
tan=o/a (times both sides by a)
tan a = o (divide both sides by tan)
a = 0/tan

Now we can solve the equation with the information given
a = 26/tan35
a = 26/0.7
a=37.13184818
=> 37.1

So, you can put down A as your answer :D

Answer:

37.1

Step-by-step explanation:

On June 1, 2007, there were about 18.75 hours of daylight in Anchorage, Alaska. On November 1, 2007, there were about 8.5 hours of daylight. What was the percent decrease

Answers

Answer:

54.67%

Step-by-step explanation:

18.75 -8.75 x 100% = 54.67

18.75

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