Timmy uses 1 1/2 cups of sugar for every 2 gallons of lemonade he makes. How many cups of sugar would Timmy use if he makes 13 gallons of lemonade?cups of sugar

Answers

Answer 1

Answer:

Answer:

he would have to use 19.5 cups of sugar.

Step-by-step explanation:

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Express the exact value of csc 60 degrees with a rational denominator?

Answers

$csc60^o=(1)/(sin60^o)=(1)/((\sqrt3)/(2))=(2)/(\sqrt3)=(2)/(\sqrt3)\cdot(\sqrt3)/(\sqrt3)=(2\sqrt3)/(3)$

Note that the exact value of csc 60° with a rational denominator is (2√3)/3.

How to compute the above

The reciprocal identity states that csc(theta) = 1/sin(θ).

Since we know that sin 60 degrees = √3/2, we can substitute this value into the reciprocal identity -

csc 60° = 1/(√3/2).

To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator -

csc 60°= (1/(√3/2)) * (√3/√3).

csc 60° = √3/(√3 * (√3/2)).

= √3/(√3 * √3/2).

= √3/(√9/2).

= √3/(3/2).

To divide by a fraction, we multiply by its reciprocal -

csc 60° = √3 * (2/3).

csc 60° = (2√3)/3.

So it is correct to state that , the exact value of csc 60° with a rational denominator is (2√3)/3.

Learn more about rational denominator at:

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the price of n tickets to a play is 9n+ 6 dollars. What is the cost in dollars for 8 tickets to the play

Answers

9(8)+6

72+6

78

78$ is the cost of 8 tickets.

put n = 8 and solve it u will get answer

9 (8) + 6
72 + 6
$78

Please, show your work . Thanks

Answers

4.
seems to be a geometric sequence
common ratio is -4
first erm is -2
$a_(n)=-2(-4)^(n-1)$

5. x=-1
remember x^-1=1/x
f(-1)=4(7^-1)=4(1/7)=4/7
f(2)=4(7^2)=4(49)=196

6. remember
(ab)/(cd)=(a/c)(b/d)
also
(x^m)/(x^n)=x^(m-n)
and
(x^m)(x^n)=x^(m+n)

so
$(4.5*10^(3))/(9*10^(7))$ =
( $(4.5)/(9)$ )( $(10^(3))/(10^(7))$ )=
(0.5)( $10^(3-7)$ =
(0.5)(10^-4)=
(5)(10^-1)(10^-4)=
(5)(10^(-1-4)
5*10^-5

4. $a_(n)=-2(-4)^(n-1)$

5. f(-1)=4/7
f(2)196

6. 5 times 10^-5

A store buys shoes for $40, then sells them to customers for $160. What is the percent mark-up for the price of the shoes?

Answers

Answer:

its 120 your supposed to divide 120 ÷ 100% and ur answer will be 120

3-3*6+2=?
is it 0
or -13
or -17
i am confess

Answers

Hi

Multiply: -3×6 = -18

3 - 3×6 + 2 = 3 - 18 + 2

Now, add and subtract:

3 - 18 + 2 = 3 - 16 = -13

Answer: -13

Please help with number 24 !!

Answers

The answer is F. y=2.5x. This is because if you multiply each pound (x) from the table by 2.5, you will get the cost (y). Hope this helps!

If y varies directly with respect to x, then
y = k*x
Solving for k, we get
k = y/x

Pick any column of (x,y) values and plug it into the equation
I'm going to pick (x,y) = (4,10)
k = y/x
k = 10/4
k = 5/2
k = 2.5

So the equation is y = 2.5*x or simply y = 2.5x
Answer is choice F

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