A rescue helicopter is used to help victims who fell in a ditch. The helicopter begins at sea level, which is an elevation of 0 feet. It then travels down for 100 seconds at a speed of 10.5 feet per second. It then travels directly up for 150 seconds at a speed of 5.2 feet per second. After this 250 second period, how much time, in seconds, will it take for the rescue helicopter to travel back to sea level at the helicopter's maximum speed of 15.8 feet per second?

A) B=3V/h

Multiply both sides by 3 to get 3V=Bh. Divide both sides by h, and you get 3V/h=B

Answer:

A) B = 3V/h

Step-by-step explanation:

Given: The formula for the volume of a pyramid is V=1/3Bh.

From the above equation, we have to solve for B.

We use inverse operation to find B.

Multiply by reciprocal of 1/3 on both sides. the reciprocal of 1/3 is 3.

So, multiply by 3 on both sides, we get

3V = 3*1/3*B*h

3V = B*h

Now divide both sides by h, we get

3V/h = Bh/h

3V/h = B

Therefore, the answer is A) B = 3V/h

Answer:

sales tax = 2.25

Step-by-step explanation:

To find the sales tax, we multiply the list price by the tax rate

We need to convert the tax rate of 5% to decimal form 5% = .05

sales tax = 45 * .05

sales tax = 2.25

Answer: P(G even and W>2) = 1/3 or 0.333 or 33.3%

Step-by-step explanation:

Independent events multiply probabilities,

P(G even)=1/2, P(W>2)=2/3, P(G even and W>2)= 1/2 × 2/3 = 1/3.

Without using definition of "independent events", or rules referring to them, I use sample space S of 36 points, and P(event) = #(event)/#(sample space).

Points are labeled with two digits, left is green die, right is white die. S = {11,12,13,14,15,16,21,...26,...,61,...,66}, and #(S)=36.

An event E is a subset of S, and

0 <= #(E) <= #(S) = 36.

Event G even is GE={21,22,23...,41,42,...,61,...,66},

#(G even)=18

Event "W>2" = W2 ={13,14,15,16,23,24...,63,64,65,66},

#(W>2)=24.

Event G even and W>2 GEW2={23,24,25,26,43,44,45,46,63,64,65,66),

#(GEW2)=12

P(GEW2)=#(GEW2)/#(S)=12/36=1/3=33.3%

To find the probability of the green cube landing with an even number face up and the white cube landing with a number greater than 2 face up, multiply the probabilities of each event happening. The probability is 1/3.

To find the probability that the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The green cube has 3 even numbers (2, 4, and 6) out of 6 faces, so the probability of the green cube landing with an even number face up is 3/6 or 1/2.

The white cube has 4 numbers greater than 2 (3, 4, 5, and 6) out of 6 faces, so the probability of the white cube landing with a number greater than 2 face up is 4/6 or 2/3.

To find the probability of both events happening, we multiply the probabilities: (1/2) * (2/3) = 1/3.

Therefore, the probability that the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up is 1/3. Option C, 1/3, is the correct answer.

Hey there!

You could solve those equations many ways but, here's a more "Easier way" to  solve that

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

The department store's percent markup on the shirts is 25%. This was determined by dividing the markup price by the cost price and then multiplying by 100.

The question asks to find the percent markup of shirts by a department store. First, we need to determine the cost per shirt, which we do by dividing the total cost by the number of shirts. In this case, $6,400 divided by 400 gives us a cost of $16 per shirt.

Next, we subtract the cost from the selling price to find out the markup per shirt. So, $20 (selling price) minus $16 (cost price) gives us a markup of $4 per shirt.

To find the percent markup, we divide the markup by the cost price and multiply by 100. Hence, $4 (markup price) divided by $16 (cost price), and then multiplied by 100, results in a 25% markup.

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Answer:

2.5 hours

Step-by-step explanation:

25 miles/10 mph= 2.5 hours

Answer:

The awnser is 2.5 because,

Step-by-step explanation:

.25 divided by 10 = 2.5

The decimal moves one time to the left because there is ONE zero (0) in 10.

Answer:

He can feed 5 people

Step-by-step explanation:

divide pizzas in the number of people to how much people will eat.

divide 5 by invisible number, x. getting the answer of 5/6

x=6

Answer:6

Step-by-step explanation:

Answer:

The answer is C. 0.60b + 0.30w = 150; 60 + 0.30w = 150

Step-by-step explanation:

[tex]l-length\\w-width\\\\\text{The formula of an area of a rectangle:}\ V=lw\\\\\text{We have the area}\ 540\ m^2\to lw=540\\\\\text{New rectangle}\\\\l-5-length\\w+5-width\\\\\text{We have the area}\ 540\ m^2+35\ m^2=575\ m^2\to (l-5)(w+5)=575\\\\\text{Therefore we have the system of equation:}\\\\\left\{\begin{array}{ccc}lw=540&\to w=\dfrac{540}{l}&(*)\\(l-5)(w+5)=575&&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**)[/tex]

[tex](l-5)\left(\dfrac{540}{l}+5\right)=575\qquad\text{use distributive property}\\\\(l)\left(\dfrac{540}{l}\right)+(5)(l)-(5)\left(\dfrac{540}{l}\right)-(5)(5)=575\\\\540+5l-\dfrac{2700}{l}-25=575\\\\515+5l-\dfrac{2700}{l}=575\qquad\text{subtract 575 from both sides}\\\\-60+5l-\dfrac{2700}{l}=0\qquad\text{multiply both sides by }\ l\neq0\\\\-60l+5l^2-2700=0\\\\5l^2-60l-2700=0\qquad\text{divide both sides by 5}\\\\l^2-12l-540=0\\\\l^2+30l-18l-540=0\\\\l(l+30)-18(l+30)=0\\\\(l+30)(l-18)=0\iff l+30=0\ \vee\ l-18=0\\\\l=-30<0\ \vee\ \boxed{l=18\ cm}[/tex]

[tex]\text{Substitute the value of}\ l\ \text{to}\ (*):\\\\w=\dfrac{540}{18}\\\\\boxed{w=30\ cm}[/tex]

[tex]Answer:\ \boxed{length=18\ cm,\ width=30\ cm}[/tex]

The original dimensions of the rectangle are 30 meters in length and 18 meters in width.

We need to find the dimensions of the original rectangle given an area of 540 sq m and the changes in area after altering the dimensions. Let's represent the length of the rectangle as L meters and the width as W meters.

From the information provided:
Original Area: L * W = 540
New Area: (L - 5) * (W + 5) = 540 + 35

By solving these equations step-by-step:

L  * W = 540

(L - 5)(W + 5) = 575
LW + 5L - 5W - 25 = 575
LW - 5(W - L) - 25 = 575
Substitute the original area (LW = 540):
540 - 5(W - L) - 25 = 575
-5(W - L) = 60
W - L = -12

Now we have two simultaneous equations:
L * W = 540
W - L = -12

We can solve these equations for L and W.

Solving the system of equations, we get:

L = 30 meters
W = 18 meters

Therefore, the original dimensions of the rectangle are 30 meters in length and 18 meters in width.

Answer:

The Answer is 2.25

Answer:

2.375    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

2  3/8 = 2.375

divide 3 by 8 and you will get the .375

The whole number of 2 will be to the left of the decimal to represent a whole number.

Answer:

A.) 10c≤50

Step-by-step explanation:

This inequality shows less than or equal to 10 chairs can be bought with $50

Answer: A.) 10c≤50

Step-by-step explanation:

Hi, to answer this question we have to write an inequality using the information given:

So, if the number of chairs is "c", we can multiply "c" by $10 to obtain the cost of buying "c" number of chairs.

She only has $50, so, the cost of the chairs must be less or equal to 50.

Mathematically speaking:

10c≤50  (option A)

Feel free to ask for more if needed or if you did not understand something.  

Answer:

C

Step-by-step explanation:

the legs of a 30-60-90 triangle are 1 and [tex]\sqrt{3}[/tex], while the hypotenuse is 2.

the ratio of the legs is therefore 1 : [tex]\sqrt{3}[/tex] → C

Answer:

First solve for x or y in the first equation. Then substitute that number in the second equation for its same variable. Solve the second equation for that variable. Now you have your first number. Now you want to take that number and substitute it back into the first equation to find your second value. Put your two values in an ordered pair (x, y)

Step-by-step explanation:

Based on the given table,  the cost for 11 parts would be approximately $4.95.

How to determine the cost for 11 parts

To determine the cost for 11 parts,  find the corresponding cost per part from the given table.

Let's analyze the given data:

Number of parts: 2, 7, 12, 15

Cost ($): 0.90, 3.15, 5.40, 6.75

We can observe that the cost per part increases as the number of parts increases.

To calculate the cost for 11 parts, interpolate between the quantities given in the table.

Using linear interpolation, find the cost for 11 parts as follows:

First,  determine the cost per part for 7 parts and 12 parts:

Cost for 7 parts = $3.15

Cost for 12 parts = $5.40

To find the cost for 11 parts, interpolate between these two values:

Cost for 11 parts ≈ Cost for 7 parts + [11 - 7] / [12 - 7] * (Cost for 12 parts - Cost for 7 parts)

Cost for 11 parts ≈ $3.15 + [11 - 7] / [12 - 7] * ($5.40 - $3.15)

Calculating this expression:

Cost for 11 parts ≈ $3.15 + 4/5 * ($5.40 - $3.15)

Cost for 11 parts ≈ $3.15 + 4/5 * $2.25

Cost for 11 parts ≈ $3.15 + $1.80

Cost for 11 parts ≈ $4.95

Therefore, the cost for 11 parts would be approximately $4.95.

A factory makes parts for toys in different quantities, as shown in the table. how much would 11 parts costs

number of parts: 2, 7, 12, 15

cost($): 0.90, 3.15, 5.40, 6.75

Answer:

70

Step-by-step explanation:

The simplest way to find the number is work backwards. If you know the final answer is 10, start with 10 and make the number x. Then set up the original equation.

0.5x-25=10

Then start working backwards(isolate).

0.5x-25=10

      +25  +25

in other words, 10+25=0.5x. (the 25 cancels out because -25+25=0)

10+25=35, so 35=0.5x.

Now, instead of dividing by 2, multiply by 2(opposite again).

35=0.5x

/0.5(aka *2)     /0.5(cancels out)

now you are left with 70=x, so the number is 70.

Answer:     9.6

Step-by-step explanation: A percent is like a decimal so 15% would be 0.15 so if you use that for this you must multiply 32 hours by the 30%/0.30 to find the answer

Answer: -12 < x < [tex]-\frac{9}{2}[/tex]

Step-by-step explanation:

2x + 9 < 0    and      x > -12

2x       < -9

 x        < [tex]-\frac{9}{2}[/tex]

Since it is an "and" statement, x is between -12 and [tex]-\frac{9}{2}[/tex], so -12 < x < [tex]-\frac{9}{2}[/tex]

Graph: -12 o-----------------o [tex]-\frac{9}{2}[/tex]

Interval Notation: (-12, [tex]-\frac{9}{2}[/tex])

The integers that satisfy the inequalities 2x + 9 < 0 and x > -12 are -11, -10, -9, -8, -7, -6, and -5.

To find integers that satisfy both inequalities 2x + 9 < 0 and x > -12, we first solve each inequality separately.

For the inequality 2x + 9 < 0, we subtract 9 from each side to get 2x < -9. Then we divide each side by 2 to find x < -4.5. Since we are looking for integers, x must be less than or equal to -5.

For the inequality x > -12, since x must be greater than -12 and is an integer, the least integer x can be is -11.

Putting these together, the integers that satisfy both inequalities are the set of all integers from -11 through -5. Therefore, we list the integers on one line as: -11, -10, -9, -8, -7, -6, -5.

Answer:

Given the system of equation:

[tex]y = -x + 2[/tex] and

[tex]y =4x+7[/tex]

Table for the equation [tex]y = -x + 2[/tex] ;

x                y

-1               -3

0              2

1                1

2               0

Then, the points for this equations are: (-1, -3), (0, 2) , (1, 1 ) and (2, 0)

Also, table for the equation: [tex]y =4x+7[/tex]

x               y

-1.75         0  

-1              3

0              7

1               11

Then, the points for this equations are: (-1.75, 0) , (-1, 3) , (0, 7) and ( 1, 11)

Using Point tool , we plot these points of the given system of equation on the Cartesian plane.

You can see the graph as shown below in the attachment.

Also, the two lines intersects at (-1, 3)      

Therefore, the apparent solution for the given system of equation is; (-1, 3)

Final answer:

To find the apparent solution to the system of equations, you need to solve the equations simultaneously. The apparent solution to the given system of equations is (-1, 3).

Explanation:

To find the apparent solution to the system of equations, we need to solve the equations simultaneously. The given equations are:

y = -x + 2

y = 4x + 7

We can solve these equations by setting them equal to each other:

-x + 2 = 4x + 7

Now, we can solve for x:

-x - 4x = 7 - 2

-5x = 5

x = -1

Substituting this value of x back into either of the original equations, we can find the corresponding value of y:

y = -(-1) + 2

y = 3

Therefore, the apparent solution to the system of equations is (-1, 3).

Hi There!

Answer:

30 quaters.

15 dimes.

Step-by-step explanation:

Quarter = $0.25

Dime = $0.10

Quarters: 0.25 * 30 = $7.50

Dimes: 0.10 * 15 = $1.50

Check: 7.50 + 1.50 = $9

Hope This Helps :)

Answer:

64 plants/32 seed packets =

2 plants/seed packet

90 plants ÷ 2 plants/seed packet =

45 seed packets

Answer:

-3 <= x <=8

Step-by-step explanation:

-16 -3|2x-5| >= -49

The first step is to get the absolute value alone.   We need to add 16 to each side.

-16+16 -3|2x-5| >= -49+16

-3|2x-5| >= -33

Now divide each side by -3.  This will flip the inequality.

(-3/-3)|2x-5| =< -33/-3

|2x-5| =< 11

This is where we can separate the absolute value inequality into 2 pieces, one positive and one negative.  Remember to flip the inequality symbol when we take the negative inequality.

2x-5 <=11    and 2x-5>=-11

Add 5 to each side.

2x-5+5 <=11+5    and 2x-5+5>=-11+5

2x<=16                 and  2x>=-6

Divide by 2 on each side.

2x/2<=16/2                 and  2x/2>=-6/2

x <=8        and   x >=-3

Rewrite as a compound inequality

-3 <= x <=8

[tex]21a^2b^5+49a^4b^3=(7a^2b^3)(3b^2)+(7a^2b^3)(7a^2)=7a^2b^3(3b^2+7a^2)[/tex]

[tex]-6x+12y=24\\\\x-intercept\ for\ y=0:\\\\-6x+12(0)=24\\-6x=24\qquad\text{divide both sides by (-6)}\\\boxed{x=-4}\to(-4,\ 0)\\\\y-intercept\ for\ x=0:\\\\-6(0)+12y=24\\12y=24\qquad\text{divide both sides by 12}\\\boxed{y=2}\to(0;\ 2)[/tex]

Answer:

avg speed is 3.5 miles per hour

Step-by-step explanation:

1.75 x 2 = 3.5 miles per hour

Answer:

3 and 1/2

Step-by-step explanation:

hope this helps

Answer:

12) tax rate is 8%

13) convert percent to decimal format

Step-by-step explanation:

12)   4.32/4.00 = 1.08

1.08 - 1 = 0.08

0.08 * 100 = 8%

13) Convert all % to decimal format.

Do this by dividing the percent by 100

e.g. 10% = 10/100 = 0.10

Answer:

B is the answer

Step-by-step explanation: B is the answer because 10^4 is 10*10*10*10 which is 10000 so 10000 times 1.67 is 16700

Answer:

1. Use this form V = πr²h to obtain around π(4)² * 5 ≈ 251.3 m³  

2. Multiply all the lengths of the sides to obtain this volume 42 in³  

3. Multiply all the lengths of the sides and divide that by 2 to obtain 154 cm³  

Try the rest of the problems by yourself... Remember that:  

V = Ah where A is the area of the base.  

Step-by-step explanation:

Question :-

Answer :-

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4 \: m)^2(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(16 \:m^2)(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (50.24 \:m^2)(5 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 251.2 \: m^3}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

Answer:

-3

Step-by-step explanation:

hm this is a  little tricky!

so on a number line, -3 will be behind -2 because it is less than the two since it is negative. If we have 4/5 and 1/5 we will need to think what comes between them.

5/5 and 0/5  

which means that -3 comes between them both

First and foremost, notice that because the two integers are negative,  [tex]- 2\frac{4}{5}[/tex] is greater than the other number [tex]-3 \frac{1}{5}[/tex] .  As just a result, a number less than  [tex]- 2\frac{4}{5}= -\frac{14}{5}[/tex] and greater than [tex]- 3 \frac{1}{5}= -\frac{16}{5}[/tex]  means a value between such two integers.

Learn more:

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