What is the solution to the equation below?
square root + 9 = 11

1/8 x 5 = 5/8

5/8 of the passengers were adults :)

࿐αɴѕωєя࿐

m = 93 - h / b

Step-by-step explanation:

bm + h = 93

bm = 93 - h

m = 93 - h / b

Hope it helps ⚜

Answer:

sodas sold = 138

hot dogs sold = 79

Step-by-step explanation:

let s = number of sodas sold

let h = number of hot dogs sold

equation 1:    h + s = 217

equation 2:    h + 59 = s

Substitute equation 2 into equation 1 and solve for h:

⇒ h + (h + 59) = 217

⇒ 2h + 59= 217

⇒ 2h =158

⇒ h = 79

Substitute found value of h into equation 2 and solve for s:

⇒ 79 + 59 = s

⇒ s = 138

answer:

number of hot dogs is 79

number of sodas is 138

explanation:

solve:

Therefore:

x + x + 59 = 217

2x = 158

x = 79

79 hot dogs

79 + 59

138 sodas

Answer:

Subtracting 1 from each side length of GHIJKL

Adding 15 degrees to angles G, H, and I, and subtracting 15 degrees from angles J, K, and L  

adding 3 to each side length in GHIJKL

Step-by-step explanation: Plato

Answer: 2&3 are the answers .

Step-by-step explanation: I got the answer right on my test .

Answer:

Yes

Step-by-step explanation:

Non members - 8*6 = $48

Members - 20+(4*6) = $46

She should become a member of the gym because she will pay $2 less overall.

Answer:

Sarah should become a member. She would be paying a lot less money and be able to take more classes for cheaper

Step-by-step explanation:

Non member amount for 6 classes-   $8*6= $48

Member amount for 6 classes-  $4*6= 24  ($20 fee) = $44

As you can see above, the cost for 6 classes with a membership is cheaper than without a membership

Answer:

[tex]f(x)=x(x-9)(x-6)(x+8)(x-7)[/tex]

Step-by-step explanation:

If [tex]9=x[/tex]  then [tex]x-9=0[/tex]

If [tex]6=x[/tex]  then [tex]x-6=0[/tex]

etc.

So  [tex]f(x)=x(x-9)(x-6)(x+8)(x-7)[/tex]

Divide the shape into a square and a rectangle, multiply 7 by 10, and subtract 10 from 21 to get 11. then multiply 11 by 24. Lastly, add the products together and you get 334 feet squared. Have a good day my friend!

The area of the polygon is: 334 ft²

To find the area of a polygon, decompose the polygon into known shapes and find the area of each shape, then add all.

Thus:

Decomposing the polygon given, we would have rectangle 1 and rectangle 2.

Area of rectangle 1 = length × width = 7 × 10 = 70 ft²

Area of rectangle 2 = length × width = 24 × (21 - 10) = 264 ft²

Area of the polygon = 264 + 70 = 334 ft²

Learn more about area of polygon on:

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Answer:

-5w - 5/2

Step-by-step explanation:

hope it helps

Answer:

18, 12

Step-by-step explanation:

x+y=30

x-y=6

2x=36 (add the equations before this together)

x=18

y=12

Answer:

The numbers are x = 18 and y = 12.

Step-by-step explanation:

Answer: 2 2/5

Step-by-step explanation:

Denominator stays the same, divide 12 and 5, remainder at the top

Answer:

The slope intercept form is used to find the y-intercept and the slope of a straight line. If you look closely, it is a linear function too; meaning the function can tell you its domain and range.

Answer:

It's not possible to determine the perimeter of a rectangle given only the area. The area of a rectangle depends on two unknowns, the length and the width, so you must be given at least one side of the rectangle along with the area to determine the other side and, thus, the perimeter

Step-by-step explanation:

Answer:

It is not possible to determine the perimeter of a figure given its area.

Answer:

add 200 for each of the In

Step-by-step explanation:

10 plus 200 is 210

211 = 411

536 = 736

1406 = 1606

Answer: for the 211 input the output is 411 and the 536 input has a 736 input

Step-by-step explanation:

It’s adding 200 each time

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7300\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &5 \end{cases} \\\\\\ A=7300\left(1+\frac{0.042}{4}\right)^{4\cdot 5}\implies A=7300(1.0105)^{20}\implies A\approx 8996[/tex]

Answer:

Step-by-step explanation:

Perimeter of a rectangle  =  52 cm

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length

width  =  (x/3) + 2

x + (x/3) + 2  =  26

[(3x + x)/3]  + 2 =  26

4x / 3  =  24

4x  =  24 (3)

x  =  6(3) ==>  18 cm

Width  =  (18/3) + 2

=  6 + 2  =  8 cm

So, the required dimension is 18 cm x 8 cm.

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Thank You!

Answered by: ms115

Answer:

Step-by-step explanation:

Let the perimeter be:

Find the numbers for the perimeter:

For A:

That means A is incorrect.

For B:

That means B is correct.

For C:

That means C is incorrect.

Correct choice is B.

So in fig 1 :

In fig 2 :

The area of the composite figure is,

A = 175 m²

We have to given that,

A composite figure is shown.

In first part,

Lenght (L) = 14m

Width (W) = 9m

Hence, We get;

Area = L × W

Area = 9 × 14

Area = 126 m²

For second part,

Lenght (L) = 7m

Width (w) = 16 - 9 = 7m

Hence, We get;

Area= L × W

Area = 7 × 7

Area =49m²

So, We can formulate;

The area of the composite figure is,

A = 126 + 49

A = 175 m²

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Answer:

7 movie tickets 59.5

Step-by-step explanation:

divide 34 by 4 and then you get 8.5 then multiply that by 7

Answer:

Ask yourself what a percentage means. It means out of a hundred.

20 percent is basicallly 20/100
20/100 is 0.2

So 20 percent of 58 is asking-

0.2*58 = ?

Solve and you’ll get

$11.60

Answer:

Step-by-step explanation:

We are looking for 100% interest amount.

Since the yearly interest rate is 13%, time required to double the amount is:

Step-by-step explanation:

Slope formula:

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

Substitute the points into the formula format:

[tex] \frac{4}{ - 5} - \frac{8}{ - 5} = m[/tex]

Solve:

[tex] \frac{ - 4}{0} = m[/tex]

When a slope has a run (x) of 0, the slope is undefined.

Answer:

-4 / 0

Step-by-step explanation:

Given the following question:

(-5, 8), (-5, 4)

In order to find the answer to this question we will use rise over run, substitute the values, and then solve.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
(-5, 8), (x1, y1)
(-5, 4), (x2, y2)
4 - 8 = -4
-5 - -5 = 0
m = -4 / 0

Hope this helps.

Answer:

D

or the bottom answer

Step-by-step explanation:

3x ≥ 3 and 9x < 54

÷3    ÷3      ÷9    ÷9

x ≥ 1             x < 6

"and" means joined together

"≥" means filled in

"<" means not filled in

I hope this helps!

Answer:

b) local minimum at [tex]x=\frac{1}{e}[/tex]

c) Graph of the function is convex

Step-by-step explanation:

We are told that [tex]f'(\frac{1}{e})=0[/tex], which implies there is a turning/stationary point at [tex]x=\frac{1}{e}[/tex].

Substituting [tex]x=\frac{1}{e}[/tex] into [tex]f''(x)[/tex] will tell us if the turning point is a minimum or a maximum:

[tex]f''(\frac{1}{e})=\frac{1}{\frac{1}{e} } =e>0 \implies \textsf{local minimum}[/tex]

Therefore, statement a) is false and statement b) is true.

If the function has a minimum turning point, then this implies that the curve is convex.  Therefore, statement c) is true.

Extremum = local min and max points.

We have already established that there is a local minimum at [tex]x=\frac{1}{e}[/tex], therefore statement d) is false.

I know this is not needed for this question, but here are the workings to detemine the equation of the function (I've also attached a graph).  This supports the answers above.

[tex]\textsf{if} \ f''(x)=\frac{1}{x}\\\\\implies f'(x)=\int f''(x) \ dx \\\\\implies f'(x)=ln|x|+C\\[/tex]

[tex]\textsf{if} \ f'(\frac{1}{e})=0\\\\\implies ln|\frac{1}{e}|+C=0\\\\\implies -1+C=0\\\\\implies C=1\\\\[/tex]

[tex]\implies f'(x)=ln|x|+1\\[/tex]

[tex]\textsf{if} \ f'(x)=ln|x|+1\\\\\implies f(x)=\int f'(x) \ dx\\\\\implies f(x)=xln(x)-x+x+C\\\\\implies f(x)=xln(x)+C[/tex]

Answer:

A and B both equal -6c - 2c

Step-by-step explanation:

Hope it will helps you..

Your photo is so unclear ..but i try my best to understand...

Answer:

3; 5; 35

Step-by-step explanation:

Sorry can’t help