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atroni [7]
3 years ago
6

The ratio of minutes to gallons of water flowing through a garden hose is 2 to 12 carlota says that an equivalent ratio of minut

es to gallons is 6 to 1 is Carlota correct
Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

Carlota is not correct

Step-by-step explanation:

A ratio represents relationship between of two or more things.

Ratio of minutes to gallons of water flowing through a garden hose =2:12

Here,

2:12=1:6

Also,

It's given that an equivalent ratio of minutes to gallons is 6:1

Now,

1:6\neq 6:1

Therefore,

Carlota is not correct

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Find x when - 1/2 + x = - 21/4
lbvjy [14]

Step-by-step explanation:

-1 / 2 + x = -21 /4

x = -21/4 + 1/2

x = (-21 + 2)/4

x = -19/4

4 0
3 years ago
Solve for x and y<br><br> it says i need 20 characters so i’m writing more
fgiga [73]

Answer:

<u> </u><u>For</u><u> </u><u>y</u><u> </u><u>:</u>

From pythogras theorem:

{ \tt{ {(hypotenuse)}^{2} =  {(adjacent)}^{2}  +  {(opposite)}^{2}  }} \\ { \tt{ {(7 + 3)}^{2}  =  \{( {x}^{2} + 9) \} {}^{2} +  {y}^{2}   }} \\ { \tt{100 = ( {x}^{4}  + 18 {x}^{2} + 81) +  {y}^{2}  }} \\ { \tt{ {y}^{2}  = 100 -  {x}^{4} -  {18x}^{2}  - 81 -  -  -  - (a) }}

For the second largest inner triangle;

{ \tt{ {y}^{2} =  {7}^{2} +  {x}^{2}   }} \\ { \tt{ {y}^{2}  - = 49 +  {x}^{2}  -  -  -  - (b) }}

Equate (a) and (b):

{ \tt{100 -  {x}^{4}  - 18 {x}^{2} - 81 = 49 +  {x}^{2}  }} \\ { \tt{100 - 49 - 81 =  {x}^{4}  + 19 {x}^{2} }} \\ { \tt{ - 30 =  {x}^{2}( {x}^{2}   + 19x)}} \\ { \boxed{ \tt{for \:  \:  {x}^{2} =  - 30...imaginary \: value }}} \\ {\boxed{ \tt{for \:  \: ( {x}^{2} + 19x ) \:  =  - 30}}} \\ { \tt{ {x}^{2} + 19x + 30 = 0 }} \\ { \tt{}}

solve the equation to get values of x, which will give you y

7 0
1 year ago
Calculate.<br> 6P6<br> Note: Pr =<br> n!<br> (n-r)!<br> (Hint: 0!= 1)<br> Enter
kvasek [131]

The value of ^6P_6 is 720

<h3>How to solve the expression?</h3>

The expression is given as:

^6P_6

The permutation formula is:

^nP_r = \frac{n!}{(n - r)!}

So, we have:

^nP_r = \frac{6!}{(6 - 6)!}

Evaluate the difference

^nP_r = \frac{6!}{0!}

0! = 1.

So, we have:

^nP_r = 6!

Evaluate the factorial

^6P_6 = 720

Hence, the value of ^6P_6 is 720

Read more about permutation at:

brainly.com/question/11732255

#SPJ1

8 0
2 years ago
Write a quadratic equation in standard form with x-intercepts (-3, 0) and (4, 0) that passes through (2, -20).
jeka57 [31]

Answer:

The equation in standard form is: y=2x^2-2x-24

Step-by-step explanation:

Since they give you the x-intercepts (the zeros of the quadratic expression) one knows that the binomials: (x-(-3)) and (x-4) must be factors of the quadratic expression.

We can therefore write the equation as:

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using the binomial factors given above, and a numerical factor "k" that we can determine by using the information that the graph passes through the point (2,-20):

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Then,the equation can be written as:

y=2\,(x+3)(x-4)\\y=2(x^2-x-12)\\y=2x^2-2x-24

where we wrote the equation already in standard form

5 0
2 years ago
The pilot of a traffic helicopter sights an accident at an angle of depression of 18°. The helicopter’s altitude is 1560 ft. Wha
Fynjy0 [20]
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tangent 18 = opposite / adjacent
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Thus, the horizontal distance is 4,801.19 ft
3 0
2 years ago
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