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Black_prince [1.1K]
3 years ago
5

Which equation can be used to find the number of wolves in the state on January 1? A zoologist is recording the loss of wolves i

n her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier. What is the number of wolves in the state on January 1? w−84=−23 w−23=84 23−w=84 w + 23 = 84
Mathematics
1 answer:
shusha [124]3 years ago
3 0
There were 23 fewer wolves, and there were 84 left after one year

w - 23 = 84

is your answer

because there were 107 wolves the previous year

hope this helps

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Which system of equations has the solution (4,−2)?
Marat540 [252]

Answer:

A)

Step-by-step explanation:

To find the answer we must solve each of the systems separately. Starting with the first one:

x + y = 2

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We must find what x or y is equal to and then replace it in the second equation. I'll go with y as it seems easier:

x + y = 2

y = 2 - x

Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:

2x - (2 - x) = 10

2x - 2 + x = 10

3x = 12

x = 12/3

x = 4

Now that we have x, we replace the variable with its value in one of the equations. Again, for simplicity I'll go with the one that seems easier.

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2 years ago
Holly wants to add an odd number to 659. Which number could possibly be the sum? Choose all answers that are correct. A. 677 B.
noname [10]
It is B and C because if you add an odd number to another odd number it becomes even.
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3 years ago
Find exact values for sin θ and tan θ if cos θ = -4/9 and tan θ > 0.
julsineya [31]

Answer:

Part 1) sin(\theta)=-\frac{\sqrt{65}}{9}

Part 2) tan(\theta)=\frac{\sqrt{65}}{4}

Step-by-step explanation:

we have that

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That means that the sine of angle theta is negative

step 1

Find sin(\theta)

we know that

sin^{2}(\theta) +cos^{2}(\theta)=1

we have

cos(\theta)=-\frac{4}{9}

substitute

sin^{2}(\theta) +(-\frac{4}{9})^{2}=1

sin^{2}(\theta) +\frac{16}{81}=1

sin^{2}(\theta)=1-\frac{16}{81}

sin^{2}(\theta)=\frac{65}{81}

square root both sides

sin(\theta)=\pm\frac{\sqrt{65}}{9}

Remember that

In this problem the sine of angle theta is negative

so

sin(\theta)=-\frac{\sqrt{65}}{9}

step 2

Find tan(\theta)

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=-\frac{\sqrt{65}}{9}

cos(\theta)=-\frac{4}{9}

substitute the given values

tan(\theta)=-\frac{\sqrt{65}}{9}:-\frac{4}{9}=\frac{\sqrt{65}}{4}

3 0
3 years ago
Help: 10 points!! 13=n+ 3/fourths
disa [49]

Answer:

n = 12 1/4

Step-by-step explanation:

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Question 6(Multiple Choice Worth 1 points)
Dafna11 [192]

Answer:

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f(1) = -5(1)^2 + 2(1) + 9 = 6
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