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erastovalidia [21]
3 years ago
12

2:3 14:21are these ratios equivalent

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0
Yes. They are equivalent
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1. Scientists estimate the rate of the wildebeest running at full speed to be 66 feet per second. Write a function rule to descr
lorasvet [3.4K]

1. d. d = 66t

The maximum speed of the wildebeest is v=66 ft/s. Speed is defined as the ratio between the distance covered (d) and the time taken (t):

v=\frac{d}{t}

Re-arranging the formula, we get

d=vt

And substituting v=66 ft/s, we find

d=66t


2. c. y = 5 - n

In fact, we can check that this rule satisfies all the numbers of the sequence:

n=3 --> y = 5 - 3 = 2

n=4 --> y = 5 - 4 = 1

n=5 --> y = 5 - 5 = 0

n=6 --> y = 5 - 6 = -1


3. d. $5.50, $11.00, $16.50; E = 5.50h

In fact, if we use the rule E=5.50 h, we see that the table is completed as follows:

h=1 --> E=(5.50)(1 h)=5.50$

h=2 --> E=(5.50)(2 h)=11.00 $

h=3 --> E=(5.50)(3 h)=16.50$

h=4 --> E=(5.50)(4 h)=22.00$

h=5 --> E=(5.50)(5 h)=27.50$


4. c. if d ≥ 5 then C = 4.70d, if d < 5 then C = 4.70d - 1; $17.80, $32.90

If the number of days is more than 5, the cost is 4.70$ per day, therefore c=4.70d (where d is the number of days); if the number of days is less than 5, one dollar is returned, so the cost will be C=4.70d-1. By applying this rule, we can calculate the rental cost after d=4 days and d=7 days:

- d=4 --> c=4.70*4-1=17.80$

- d=7 --> c=4.70*7=32.90$


5. b. y = 3x + 3

In fact, we can check this is the correct rule by substituting the numbers:

x=0 --> y=3*0+3=3

x=1 --> y=3*1+3=6

x=2 --> y=3*2+3=9

x=3 --> y=3*3+3=12

x=4 --> y=3*4+3=15


7. x -2 -1 0 1 2

y (-16 ) (-6 ) (4 ) (14 ) (24 )

The rule we have to apply is:

-10x + y = 4

Re-arranging it, we can solve for y:

y = 10x + 4

So, let's substitute the different values of x:

x=-2 --> 10*(-2)+4=-20+4= -16

x=-1 --> 10*(-1)+4=-10+4= -6

x=0 --> 10*0+4= 4

x=1 --> 10*1+4=10+4= 14

x=2 --> 10*2 +4 =20+4 = 24


8. y = -5x - 1

In fact, if substitute the different values of x given by the problem, we find:

x = -2 --> y = -5*(-2) -1= 10 -1 = 9

x = -1 --> y = -5*(-1) -1 = 5 -1 = 4

x = 0 --> y = -5*0 -1 = -1

x = 1 --> y = -5*1 - 1 = -6

x = 2 --> y = -5*2 -1 = -11


5 0
3 years ago
Read 2 more answers
The range of y = - 32x ^ 2 + 90x + 3
motikmotik

Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9

y

=

3

2

x

2

+

4

x

−

9

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[

−

35

3

,

∞

)

Set-Builder Notation:

{

y

∣

∣

∣

y

≥

−

35

3

}

Determine the domain and range.

Domain:

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

Range:

[

−

35

3

,

∞

)

,

{

y

∣

∣

∣

y

≥

−

35

3

}

image of graph

5 0
2 years ago
Read 2 more answers
8 4/12 + 3 6/12 write the sum as a mixed number so the fractional part is less than 1
Novosadov [1.4K]
The answer would be 71/6 or 11 5/6.
3 0
3 years ago
Read 2 more answers
22) (2n-q)-56-2,4nt4)
Mumz [18]

Answer:

?

Step-by-step explanation:

I think some of the question is missing.

3 0
3 years ago
What is the surface area of the cylinder?
ruslelena [56]

A= 3631.68

Step-by-step explanation:

the formula to find the surface area is A=2πrh+2πr^2 so when you substitute all your radius values and height values, you get approximately 3631.68

7 0
3 years ago
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