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2 years ago

4. In the evenings, Jake and his friends would cook out and make smores for dessert. The ratio

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

3 0

Answer:

A. y = 3/2x

B. you need 3 chocolate squares and 2 graham crackers to make 1 smore

C. 0, 0 chocolate squares and 0 graham crackers make 0 smores

Step-by-step explanation:

A. rise/run = 3/2

B. slope = 3/2

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The second graph or the letter B

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2 years ago

Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.

bekas [8.4K]

Answer: option a.

Step-by-step explanation:

By definition, we know that:

$cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Substitute $sin(\theta)=\frac{6}{11}$ into the first equation, solve for the cosine and simplify. Then, you obtain:

$cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}$

As $sec\theta$ then $cos\theta$ :

$cos(\theta)=-\frac{\sqrt{85}}{11}$

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4 0

3 years ago

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A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The tot

arlik [135]

-------------------------------------------------------------------------
Given Information
-------------------------------------------------------------------------
Total number of people = 165
Adult = $6
Child = $2
Total collected = $618

-------------------------------------------------------------------------
Assumptions
-------------------------------------------------------------------------
Let x be the number of adults and y be the number of children

-------------------------------------------------------------------------
Form equations
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Total number of people
x + y = 165
Total amount collected
6x + 2y = 618

-------------------------------------------------------------------------
Ans: The two equations are x + y = 165 and 6x + 2y = 618
-------------------------------------------------------------------------

The question is not asking for it but if you need to solve the equation to find the answer to x and y

-------------------------------------------------------------------------
Present the two equations and solve for x and y
-------------------------------------------------------------------------
x + y = 165 ------------------------- (eqn 1)
6x + 2y = 618 ------------------------- (eqn 2)

(eqn 1) :
x + y = 165
x = 165 - y ------------------------- substitute into (eqn 2)

6(165 - y) + 2y = 618
990 - 6y + 2y = 618
4y = 990 - 618
4y = 372
y = 93 ------------------------- substitute into (eqn 1)

x + y = 165
x + 93 = 165
x = 165 - 93
x = 72

x = 72 and y = 93

-------------------------------------------------------------------------
Ans: 72 adults and 93 children
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