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Debora [2.8K]
2 years ago
8

the local volleyball team hosts a concession stand to raise money. They can spend $120 to purchase popcorn, candy, and drinks. t

hey purchase 95 bags of popcorn at $0.75 each and 35 bags of candy at $1.20 each. how much money does the volleyball team have left to spend on drinks?
Mathematics
1 answer:
Art [367]2 years ago
7 0
To solve this question, I did an equation:
0.75x + 1.20y = 120
0.75(95) + 1.20(35) = 120
Then multiply:
71.25 + 42 = 120
Now to check:
71.25 + 42 = 113.25
Answer: 120 - 113.25 = $6.75 Hope this helps

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Which of the following events are equal? (a) A = {1,3}; (b) B = {x | x is a number on a die }; (c) C = {x | x2 −4x +3=0 }; (d) D
rosijanka [135]

Answer:

A and C

Step-by-step explanation:

To determine which events are equal, we explicitly define the elements in each set builder.

For event A

A={1.3}

for event B

B={x|x is a number on a die}

The possible numbers on a die are 1,2,3,4,5 and 6. Hence event B is computed as

B={1,2,3,4,5,6}

for event C

C=[x|x^{2}-4x+3]\\solving  x^{2}-4x+3\\x^{2}-4x+3=0\\x^{2}-3x-x+3=0\\x(x-3)-1(x-3)=0\\x=3 or x=1

Hence the set c is C={1,3}

and for the set D {x| x is the number of heads when six coins re tossed }

In the tossing a six coins it is possible not to have any head and it is possible to have head ranging from 1 to 6

Hence the set D can be expressed as

D={0,1,2,3,4,5,6}

In conclusion, when all the set are compared only set A and set C are equal

5 0
2 years ago
Sheila has $47 to buy graphing pads for her math class. Each pad costs $8,
bija089 [108]

Answer:

5 tablets can be bought

Step-by-step explanation:

47/8= 5

8 0
2 years ago
Find a right triangle that has legs with your irrational Lengths and a hypotenuse with a rational Length
cluponka [151]

gg easy


the legs of a triangle are related as a^2+b^2=c^2 wehre a, b, and c are the legs and the hypotonuse of a triangle respectively


let's find some stuff

one easy way is to find a rational value for c find values of a and b

lets pick c=5

a^2+b^2=5^2

a^2+b^2=25

now split up 25 into 2 things that don't have rational square roots

if we say a^2=19 and b^2=6 then we get

a=\sqrt{19} and b=\sqrt{6} (which are both irrational)

4 0
1 year ago
If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this
otez555 [7]

Answer:

10

Step-by-step explanation:

If there is a direct relation between two variables x and y then it can be represented as

y = kx ,

where y is dependent variable

x is  independent variable

k is constant of variation

_____________________________

First condition

y = 400

x = r

using y = kx then relationship will be

400 = kr

finding k here

k = 400/r

Second condition

y = r

x = 4

using y = kx then relationship will be

r = 4k

finding k

k = r/4

since  in both condition equation is same

thus, value of k will also be same

thus,

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

\sqrt{r^{2} }  = \sqrt{1600} \\r = 40

Thus, 40 is the value of r

k = r/4 = 40/4 = 10

Thus, constant of variation is 10 which is correct choice.

To cross validate

k = 400/r = 400/40 = 10

7 0
1 year ago
Read 2 more answers
I have 30 ones, 2 thousands, 4 hundred thousands,60 tens and 100 hundreds. What number am I?
Pepsi [2]
Answer
The number is 412630
6 0
2 years ago
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