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Inga [223]
2 years ago
15

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 ca

rds 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.
Mathematics
1 answer:
Verdich [7]2 years ago
5 0

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=\dfrac{1}{3}\times 12\\\\=4

Hence, 4 cards have bananas on them.

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Evaluate the function for an input value of 3. f (x) = -4x^2 – 3x – 5
Lina20 [59]

Answer:

  • -50

Step-by-step explanation:

<u>Function given:</u>

  • f(x) = -4x² – 3x – 5

Evaluate the function for an input value of 3

<u>Input value is x = 3, output value is:</u>

  • f(3) = -4(3²) – 3(3) – 5 = -4(9) - 9 - 5 = -36 - 14 = -50
  • f(3) = -50
3 0
2 years ago
if the product of 4 and a number is decreased by 12, the result is twice the opposite of the number. Find the number. EXPLAIN PL
ELEN [110]
Answer:  The number is:  "2 " .
__________________________________________
Explanation:
__________________________________________
Write the expression; which is an equation, as follows:
__________________________________________
     " 4x <span>− 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .
___________________________________________
Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;
</span>___________________________________________
Rewrite as:  " 4x <span>− 12 = -2x " ;
</span>_____________________________________________
     →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                      4x − 12 + 12 + 2x = -2x + 12 + 2x ;

           to get:    6x  = 12  ;
____________________________________________________
 Now, divide each side of the equation by "6" ; 
     to isolate "x" on one side of the equation; & to solve for "x" ;
____________________________________________________
                         6x / 6  =  12 / 6 ;

                    to get:    x = 2 .
____________________________________________________
Answer:  The number is:  "2 " .
____________________________________________________
Let us check our answer, by plugging in "2" for "x" in our original equation:
_____________________________________________________
        →   " 4x − 12 = 2(-x) " ;

  Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

        →   " 4(2) − 12 = ?  2(-2) ?? 

        →    8 − 12 = ?  -4 ? ;
 
        →    -4 = ? -4 ??  Yes!
 __________________________________________________    
6 0
3 years ago
If Kim has 45 stickers and her sister steals 20 of them how many stickers does Kim have left?
nirvana33 [79]

Answer:

No, Dolly won't have enough money to buy the bracelet.

Step-by-step explanation:

$30.00 - $25.00 = $5.00

$10.00 is more than $5.00

<em>hope this helps :)</em>

8 0
3 years ago
How many solutions are there in this equation 8 (x-3)=8x-24
kari74 [83]
Performing the indicated multiplication on the left side gives you:

8x-24=8x-24,

8x=8x

1=1 

These expressions are true for any real value of x and thus has infinitely many solutions...
3 0
3 years ago
Read 2 more answers
Please help ill give BRAINLIEST​
S_A_V [24]

Answer:

B and D

Step-by-step explanation:

6 0
2 years ago
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