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Ratling [72]
3 years ago
9

a bird of species a when diving can travel five times as fast as a bird of species b top speed if the total speeds for these two

birds is 216 miles per an hour find the fastest speed of the bird of species a and the fastest speed of the bird of species B
Mathematics
2 answers:
Veronika [31]3 years ago
8 0

Answer:

Speed of species A is 180 mph.

Speed of species B is 36 mph.

Step-by-step explanation:

Let the speed of species B be x

So, the speed of species A is 5x

Together they have a speed of 216 mph

This gives x+5x=216

=> 6x=216

x = 36 mph

So, speed of species B is 36 mph.

And speed of species A is5*36=180 mph.

jeka57 [31]3 years ago
4 0
216 = x + y 
y = 5x
216 = 6x 
36 = x 
y = 5(36)
y = 180
Species A can travel at a top speed of 180
Species B can travel at a top speed of 36

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Kia is saving money to buy a Six Flags ticket. She worked for 6 hours at the library and earns the same amount each hour. Her gr
Nesterboy [21]

Answer:

She earns 5.5 dollars per hour at the library

Step-by-step explanation:

I am going to assume that the questions is "how much she earns per hour at the library?"

Let's call x the amount of dollars earn by hour at the library. We know that she worked for 6 hours, thus she made 6x dollars.

Later her grandma gave her 20 dollars and she has now 53 dollars.

Let's write the equation and solve it

Amount earned + Amount given by her grandma = 53

6x+20=53\\6x=33\\x=\frac{33}{6}\\x=5.5

Thus, based on this information we would have that Kia earns 5.5 dollars per hour.

6 0
3 years ago
1. In a recent wind storm a large tree broke and made a 58° angle
yKpoI14uk [10]

*see attachement for diagram

Answer:

40.4 ft

Step-by-step explanation:

Let the part that broke away be represented as "x"

Thus, the digram makes a right triangle shape.

The closest total length of tree before the storm = x + 14 ft

Apply trigonometric function to find x.

Reference angle = 58°

Side adjacent to reference angle = 14 ft

Hypotenuse = x

Apply CAH, which is:

Cos 58 = adj/hyp

Cos 58 = 14/x

x * Cos 58 = 14

x = 14/Cos 58

x = 26.4191188 ≈ 26.4 ft

✔️closest total length of tree before the storm = x + 14 ft = 26.4 + 14 = 40.4 ft

6 0
3 years ago
2x+y=-6<br><br>what are the x and y intercepts​
Deffense [45]

Answer:

Step-by-step explanation:

y intercept

To find the y intercept, make x = 0

2(0) + y = - 6    zero times anything is 0

0 + y = -6        

The y intercept  is (0,-6)

x intercept

The x intercept happens when y = 0

2x + 0 = -6        zero added to anything = whatever you started with.

2x = - 6             Divide by 2

2x/2 = -6/2       Do the division

x = - 3

The x intercept = (-3,0)

5 0
4 years ago
For the function F defined by F(x)=x2−2x+4, find F(−2).
Kruka [31]

Answer:

12

Step-by-step explanation:

x^2-2x+4  replace -2 for x

-2^2-2(-2)+4

4+4+4

12

4 0
3 years ago
Read 2 more answers
In a particular region, for families with a combined income of $75,000 or more, 15% of these families have no children, 35% of t
SCORPION-xisa [38]

Answer:

The probability distribution for x:"number of children per family for this income group" is:

\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\

Step-by-step explanation:

With the information given we have the relative frequencies of each category.

We know:

\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\

7 0
3 years ago
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