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2 years ago

12

Carlita saw 5 times as many robins as cardinals while bird watching. She saw a total of 48 birds.

1 answer:

zhannawk [14.2K]2 years ago

4 0

Answer:

42 more

Step-by-step explanation:

Let carlita saw x and cardinals saw y robins.

According to question,

x=5y....(1)

and

x+y=48...(2)

Put the value of x from equation (1) in equation (2)

So,

5y+y=48

6y=48

y=8

Put y = 8 in equation (1).

x=5(8) = 40

Hence, Carlita see 42 more robins than Cardinals.

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7. Are the ordered pairs below an arithmetic sequence or geometric

DochEvi [55]

Answer:

8. Arithmetic Progression

9. $f(9) = 300$

Step-by-step explanation:

Given

$\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}$

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

$d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3$

This gives:

$d = 45 - 55 = 35 - 45 = 25 - 35$

$d = -10 = -10 = -10$

$d=-10$

<em>Because the common difference is equal, then it is an arithmetic progression</em>

<em></em>

Solving (8):

$f(n) = f(1) + f(n-1)$

To find f(9), we substitute 9 for n

$f(9) = f(1) + f(9-1)$

$f(9) = f(1) + f(8)$

We need to solve for f(8); substitute 8 for n

$f(8) = f(1) + f(8 - 1)$

$f(8) = f(1) + f(7)$

We need to solve for f(7); substitute 7 for n

$f(7) = f(1) + f(7 - 1)$

$f(7) = f(1) + f(6)$

We need to solve for f(6); substitute 6 for n

$f(6) = f(1) + f(6 - 1)$

$f(6) = f(1) + f(5)$

We need to solve for f(5); substitute 6 for n

$f(5) = f(1) + f(5 - 1)$

$f(5) = f(1) + f(4)$

From the function, f(4) = 25 and f(1) = 55.

So:

$f(5)=55 + 25$

$f(5)=80$

$f(6) = f(1) + f(5)$

$f(6) = 55 + 80$

$f(6) = 135$

$f(7) = f(1) + f(6)$

$f(7) = 55 + 135$

$f(7) = 190$

$f(8) = f(1) + f(7)$

$f(8) = 55 + 190$

$f(8) = 245$

$f(9) = f(1) + f(8)$

$f(9) = 55 + 245$

$f(9) = 300$

8 0

3 years ago

.At a certain animal shelter, the ratio of puppies to adult dogs is 7 to 4. This week there are a total of55 dogs in the shelter

Advocard [28]

Answer:

There are 35 adult dogs and 20 puppies

<em></em>

Step-by-step explanation:

<em>Represent the puppies with P and the Adult dogs with A</em>

Given

$A : P = 7 : 4$

Dogs = 55

Required

Determine A and P

First, we need to sum the ratios;

$Total = A + P$

$Total = 7 + 4$

$Total = 11$

Adult Dogs is then calculated as follows;

$A = \frac{A\ Ratio}{Total} * Dogs$

$A = \frac{7}{11} * 55$

$A = \frac{385}{11}$

$A = 35$

Puppies is calculated by subtracting the number of adult dogs from the total

$P = Dogs - Adult\ Dogs$

$P = 55 - 35$

$P = 20$

<em>Hence;</em>

<em>There are 35 adult dogs and 20 puppies</em>

3 0

3 years ago

If y = x^2 and dx/dt = 3, what is dy/dt when x = -1

nadezda [96]

<span>If x = y^3 - y and dy/dt = 5, then what is dx/dt when y = 2? 10. A balloon is rising vertically above a level, straight ...

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5 0

2 years ago

The parabola x = y² - 9 opens: <br> a.)up <br> b.)down<br> c.) right <br> d.)left

Zolol [24]

Answer:

Right side towards positive x axis

Step-by-step explanation:

Let us see the basic rule to find the orientation of parabolas.

1. If power if x is 2 and y is 1 , the parabola opens up or down.

2. If the power of y is 2 and that of x is 1 , the parabola opens right or left.

3. If the coefficient of $x^{2}$ in case 1 is negative it opens downward

4. If the coefficient of $y^{2}$ in case 2 is negative , it opens left towards negative x axis.

Hence our equation is

$x=y^2-9$

here is satisfies the case 2. hence it opens right or left . Also the coefficient of

$y^{2}$ is positive so it opens up to the right side , that is towards positive x axis.

7 0

2 years ago

Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 50% syrup?

zalisa [80]

He needs 2.5 lbs of sugar and 2.5 lbs of water

since 2.5 if 50% of 5 then thats how much sugar he needs.

6 0

3 years ago