The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at
the movie?

Answer:

[tex]h=40t+9700[/tex]

where the elevation, h, is in feet and time, t, is in minutes.

Step-by-step explanation:

At the time, [tex]t_1=15[/tex] min, the elevation, [tex]h_1= 10,300[/tex] feet and

at the time [tex]t_2= 30[/tex] min, the elevation, [tex]h_2=10,900[/tex] feet.

As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.

So, there will be a linear relationship between the elevation and the time.

Let [tex]h[/tex] be the elevation at any time instant [tex]t[/tex], so the linear relation among these quantities is

[tex]h=mt+C_0\;\cdots(i)[/tex]

where [tex]m[/tex] is the rate of change of elevation with respect to time and [tex]C_0[/tex] is constant.

The change in the elevation, [tex]\Delta h=h_2-h_1= 10,900-10,300=600[/tex] feet.

and the change in time, [tex]\Delta t=t_2-1_1=30-15=15[/tex] min.

So, change in the elevation in unit time,

[tex]m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40[/tex] feet/min.

Now, from equation (i)

[tex]h=40t+C_0[/tex]

As the elevation, [tex]h=h_1[/tex] at time [tex]t=t_1[/tex], so

[tex]10,300=40\times15+C_0[/tex]

[tex]\Rightarrow C_0=9700[/tex]

Hence, the required equation is

[tex]h=40t+9700[/tex]

where the elevation, [tex]h[/tex], is in feet and time, [tex]t[/tex], is in minutes.

Step-by-step explanation:

-126p + 72 - 4p

-130p + 72

Answer:

45

Step-by-step explanation:

Answer:

[tex]y=\frac{-4}{5}x-\frac{2}{5}[/tex]

Step-by-step explanation:

passes through (-3,2), parallel to y=-4/5x + 1

[tex]y-y_{1} =m(x-x_{1} )\\y-2 =\frac{-4}{5} (x+3)\\y-2=\frac{-4}{5}x-\frac{12}{5}\\y=\frac{-4}{5}x-\frac{2}{5}[/tex]

Answer: (k+2) (k+3)

Step-by-step explanation:

Factor 5^2 +5k+6 using the AC method.

Answer:

x = -3

Step-by-step explanation:

6x - 3 = -18 + x

Subtract x from each side

6x-x - 3 = -18 + x-x

5x -3 = -18

Add 3 to each side

5x-3+3 = -18+3

5x = -15

Divide each side by 5

5x/5 = -15/5

x = -3

Answer:

X=1/4

Step-by-step explanation:

(x+x)*8=4

(2x)*8=4

16x=4

X=4/16=1/4

Answer:

0.25

Step-by-step explanation:

First...

Assume that the number is x and make an equation.

(x + x) 8 = 4

Next...

Add.

(2x) 8 = 4

After that...

Divide.

2x = 4/8 so 2x = 1/2

Finally...

Divide more

x = 1/4 or 0.25

So your answer is 0.25.

I did double-check.

Answer: dang you live in moco too

Step-by-step explanation:

Answer:

Step-by-step explanation:

q log a is equivalent to log a^q.  Note:  This assumes that the base of your logarithmic system is 10.

-3 log b is equivalent to log b^(-3)

and so   q log a -3 log b  in condensed logarithm form is

log {a^q*b^(-3)}

                 a^q

or log  -----------------

                 b^3    

Angle 1 and 2 are supplementary angles.

This is ur answer....

Supplementary angle.....

Answer:

y=-2x+5

Step-by-step explanation:

the slope is m and the y-intercept is b in the form y=mx+b, and -2 is the slope and 5 is the y-intercept in this equation, so y=-2x+5

Answer:

y=-2x+5

Step-by-step explanation:

y=mx+b

m is the slope which is -2

b is the y intercept which is given in the problem, 5

Answer:

390

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

20*20=400

400-58=342

342/6=57

Answer:

The total would be $88

Step-by-step explanation:

First multiply $0.50 and 48 miles

$0.50x48=$24.00

Then add $24.00 and $64.00

$24.00+$64.00=$88.00

Hope this helps :)

Have a nice day :)

Can you give me brainliest plz :)

Answer:

b=18

Step-by-step explanation:

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

Answer:

-11

Step-by-step explanation:

Because you just carry the nine over which when you switch it sides it becomes negative so it's -9 + -2 which equals negative 11

Answer:

First Option.

Step-by-step explanation:

Answer:

c-c+a+|a|

5-5+4+|4|

8

Step-by-step explanation:

Answer:i can help with the first 3 #1 = 6, #2 = 13, and #3 = 7

Step-by-step explanation:

Answer:

A:5.91607978

b:13.0384048

c:2.11660105

I don't know D e or f(I dont know how to solve those......)

Step-by-step explanation:

Answer: Rachel's prediction is faster than the actual unit rate, and Theadore's prediction is slower.

Answer:

I'm pretty positive the answer is B

Step-by-step explanation:

Since it's been 7 1/2 weeks and they thought it would grow atleast 2/5 a foot a week that should mean it's growing faster than anticipated.

Answer:   $68.37

Hope this helps;)

Answer:

Cost before tip: $68.34

Cost after tip: $78.59

Step-by-step explanation:

Please see attached image. Calculations are executed in black. Answers are highlighted in blue. Solution explanation is provided in red. Implicit/'skip-over' steps are in green.

~~

Hope this helps.

Answer:

The correct answer is B

Step-by-step explanation:

its is B because when dividing fractions the division symbol changes into a multiplication sign and the fraction on the right flips

High Hopes^^

Barry-

Answer:

The line parallel to this equation would be y=3x+25

Step-by-step explanation:

A parallel line has the same slope but a different y-intercept (so just ignore the "-1" in the equation )  Our goal is to find the y-intercept ("b")

We will start with  

y=3x+b, plug in (-9,-2) for the x and y

-2=3(-9)+b

-2=-27+b,    add 27 to both sides

-2+27=-27+27+b    (the 27's on the right side cancel side)

b=25

our new equation is y=3x+25

Answer: If you mean a translation, it is How could I know the number of squares of the wiphala flag without counting.

The wiphala flag has 49 squares.

Step-by-step explanation: