The trainers at Atlantis Aquarium perform shows about sea life. Yesterday, they performed 4 shows in 2 hours. Today, they will perform 6 shows. If they perform shows at the same rate, how many hours will the trainers spend performing shows today?

Answers

Answer 1

Answer:

3 hours

Step-by-step explanation:

Number of shows : Time taken

= 4 : 2

Today, they will perform 6 shows.

Number of shows : Time taken

= 6 : x

Equate both ratios to find x

4 : 2 = 6 : x

4/2 = 6/x

Cross product

4 * x = 2 * 6

4x = 12

x = 12/4

x = 3 hours

The trainers will spend 3 hours performing shows today

Answer 2

Answer:

3 hours

Step-by-step explanation:


Related Questions

which expressions are equal ?

Answers

Answer:

Step-by-step explanation:

Options B and D are correct as they are equal to 1728

B and D is the answer

The extended ratio of the sides of a triangle is 7:8:10. The perimeter of the triangle is 275 cm. How many centimeters is the LONGEST side of the triangle?

Answers

Answer:

Longest side = 110 cm

Step-by-step explanation:

The extended ratio of the sides of a triangle is 7:8:10

Let sides are 7x, 8x and 10x.

The perimeter of the triangle is 275 cm.

Perimeter of a triangle = sum of all sides

7x+8x+10x = 275

25x = 275

x = 11

Longest sides of the triangle = 10x

= 10 (11)

= 110 cm

So, the longest side of the triangle is 110 cm.

280000000 in standard form

Answers

Answer:

two hundred eighty million

Step-by-step explanation:

Answer:

stranded form=2.8×10^8

HELP NOW PLEASEEEEEEEEEEEE ANSWER NEEDS TO B POSITIVE

Answers

Answer:

1

Step-by-step explanation:

So first we do (x^5)^2 which we know is just x^10 because of exponents of powers I believe it's called, basically you just multiply the two powers.

Then you do the bottom half which is x^3 * x^7 and that equals x^10 because of the product of exponent rule,

Then we do x^10/x^10 which = 1 because the same number over the same number is always 1.

Let me know if you have any questions

Answer:

Solving the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex] the answer is 1

Step-by-step explanation:

We need to solve the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex]

We know that exponent rule: [tex](a^m)^n=a^{m*n}[/tex]

Applying this rule in numerator

[tex]\frac{(x^5)^2}{(x^7)(x^3)}\\=\frac{(x^{5*2})}{(x^7)(x^3)}\\=\frac{(x^{10})}{(x^7)(x^3)}[/tex]

We know the exponent rule: [tex](a^m).(a^n)=a^{m+n}[/tex]

[tex]=\frac{(x^{10})}{x^{7+3}}\\=\frac{(x^{10})}{x^{10}}[/tex]

Now, using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]=x^{10-10}\\=x^0[/tex]

We know that [tex]a^0=1[/tex]

So, [tex]x^0=1[/tex]

Solving the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex] the answer is 1

4x+1=2x-5 show all steps and solve for x

Answers

Answer:

x = -3

Step-by-step explanation:

4x + 1 = 2x - 5

~Subtract 1 to both sides

4x = 2x - 6

~Subtract 2 to both sides

2x = -6

~Divide 2 to both sides

x = -3

Best of Luck!

Final Answer: [tex]x = -3[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]4x + 1 = 2x - 5[/tex].

Step 1: Subtract [tex]2x[/tex] from both sides.

[tex]4x + 1 -2x = -5[/tex]

Step 2: Simplify [tex]4x + 1 - 2x[/tex] to [tex]2x + 1[/tex].

[tex]2x + 1 = -5[/tex]

Step 3: Subtract [tex]1[/tex] from both sides.

[tex]2x = -5 - 1[/tex]

Step 4: Simplify [tex]-5 - 1[/tex] to [tex]-6[/tex].

[tex]2x = -6[/tex]

Step 5: Divide both sides by [tex]2[/tex].

[tex]x = -\frac{6}{2}[/tex]

Step 6: Simplify [tex]-\frac{6}{2}[/tex] to [tex]-3[/tex].

[tex]x = -3[/tex]

~I hope I helped you! :)~

Please Answer the 3 questions in the picture

Answers

1.Proportional reasoning compares ratios to answer questions. We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.

3.The question is how many ways

There are as a many ways to solve a math problem as you can think of.(Some are shorter or easier than others.)

Essentially, an innfinite number.

sorry I have no idea other questions

40 ft converted into yards

Answers

Answer:

13.33 yards

Step-by-step explanation:

Answer:13.33

Step-by-step explanation:

btw..Milk is gross

Colin buys a car for £42800.
It depreciates at a rate of 5% per year.
How much will it be worth in 2 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£38,6267

Step-by-step explanation:

First year depreciation will be:

42800 * 0.(100-5) = £40,660

Second year worth after depreciation:

40660 * 0.(100-5) = £38,627

I hope I answered your question well.

Listen
How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?
Enter a number in the box.

Answers

Answer:

2 unique triangles

Step-by-step explanation:

We can only form two triangles

Since two of the sides are equal, we can form two isosceles triangles

The first one will have 10, 10 , the last side, then 40, 70 , 70 as the internal angles

Just note that the angles must add up to be 180 and that there are two equal angles as we are dealing with an isosceles triangle

The second form is 10, 10 , 40 , 40 and 100

Here, we have the 40 on the sides of the base of the isosceles triangle with the measure 100 being the last angle

The number of unique triangles that can be formed with he given parameters are; 2

We are told that;

Two side lengths of the triangle = 10 cm

One angle = 40°

This means the that the triangle can be an isosceles triangle.

Now, the two equal angles could be 40° each.

Sum of angles in a triangle = 180°

Thus;

Third angle of the triangle = 180 - 2(40) = 100°

Now,if we assume that the 40° is not the equal angle, then it means that the equal angle will be;

(180 - 40)/2 = 140/2

>> 70°

Thus, we can make 2 unique isosceles triangles.

Read more about Isosceles triangle at; https://brainly.com/question/24371813

An online file storage site offers a payment plan where users
can pay for a year membership in twelve equal payments.
If Manny paid $7.95 per month, how much did he pay in full
for the year?

Answers

Answer:   95.40

Step-by-step explanation:

7.95*12=95.40

PLZ HELP (20 points)

Which of the sets of ordered pairs represents a function? (4 points)

A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}

Group of answer choices

Only A

Only B

Both A and B

Neither A nor B

Answers

Answer:Neither A nor B

Answer: neither A nor B

The product of -3 and a number a is at least -24

Answers

Answer:

wouldn't it be -3 * 8 = -24

Step-by-step explanation:

also I love your pfp

Answer:

8

Step-by-step explanation:

-24/-3 = 8

Lin went 7/15 of a mile in 1/15 of an hour on her hoverboard. What was her speed on the hoverboard?

Answers

7 miles!! I took the test so it could help

**CAN ANYONE PLEASE HELP ME ON THIS? IF YOU ARE AN EXPERT AT MATHEMATICS, PLEASE HELP.**

I’m a bit stuck on this question and i do need help. Could you perhaps show me a step-by-step answer and how to check your answer by it?

Answers

y = -5
I think so ....
first subtract 2 on both sides then multiply both sides by 5/4

Question 7 of 10
What is the solution to this equation

Answers

Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

x + 4x + 20 = 40 (Distribute the 4 into the x and 5)

5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)

Carly has already written 35 pages of a novel she plans to write 12 additional pages per month until she finished right and solve line or question then to find the total number of pages written at five months

Answers

Answer:

95 !

Step-by-step explanation:

12(5)+35 =95

Answer:

95 pages

Step-by-step explanation:

math

a One-Step Equation- x + 6 = -10

Answers

Answer:

-x + 6 = -10

-x = -10 - 6

- x = -16

x = 16

Answer:

-16

Step-by-step explanation:

x = -16

-10 - 6 = -16

-16 + 6 = -10

Find the value of x

Answers

Answer:

see explanation

Step-by-step explanation:

here,3x=6(being X and 3 are intersected by 6)

or x=6/3

or x=2

Answer: 12

Step-by-step explanation:

3 x 12= 36 and the square root of 36 is 6

Joe spent half of his weekly allowance at the movies. To earn more money his parents let him wash the dog for $4. What was his weekly allowance if he ended with $12​

Answers

Answer:

take away the extra earning

12-4= 8

multiply what is left by 2

8 * 2 = 16

$16

Gabby needed to type up 12 documents during the week. By Wednesday, she only finished 3 1/5 documents. On Thursday, she finished another 5 3/4 documents. If she finished writing all documents by Friday, how much did she write on Friday?

Answers

Answer: She wrote [tex]3\dfrac{1}{20}[/tex] documents on Friday.

Step-by-step explanation:

GIven: Total documents needed to be done = 12

If she finished writing all documents by Friday, then the number of documents written on Friday = 12-(work done by Wednesday) - (work done on Thursday)

[tex]= 12 -(3\dfrac15)-(5\dfrac34)\\\\=12-\dfrac{16}{5}-\dfrac{23}{4}\\\\=\dfrac{12\times20-16\times4-23\times5}{20}\\\\=\dfrac{240-64-115}{20}\\\\=\dfrac{61}{20}\\\\=3\dfrac{1}{20}[/tex]

Hence, She wrote [tex]3\dfrac{1}{20}[/tex] documents on Friday.

Please help this is due tomorrow help

Answers

Answer: $4.50

Step-by-step explanation:

6+6+3.5= 15.5 paid with a 20 so 4 dollars and 50 cents change

Answer:

Step-by-step explanation:

Since Aiden paid only the admission price not the skate rental price soo..

3.50 for himself and 6*2 =12 for his friends

3.50+12=15.50

20-15.50 = 4.50  in change  :)

Help me solve this problem please

Answers

Answer:

C

Step-by-step explanation:

It goes up as it goes right so not A or B. Not D as it is a straight line.

Suppose you want to use elimination to solve this system.
3x +11y = -1
(4x + 8y
= 6
By what numbers would you need to multiply the two equations in order to eliminate y? By what
numbers would you need to multiply the two equations in order to eliminate x instead? Drag and drop
the correct numbers and words into the boxes to complete the explanation.
You could multiply the first equation by
and the second equation by
and
then
the resulting equations to eliminate y. You might choose to eliminate x instead. To
do this, you would multiply the first equation by and the second equation by
and then
the equations.
4
-8
-4
add
11
-11
3
subtract
-3
8

Answers

If you want to eliminate x than multiply equation 1 by 4 and equation 2 by 3 and subtract them or,

If you want to eliminate y than mutiply equation 1 by 8 and equation 2 by 11 and subtract them.

I need help in this can someone help me . On this math problem ?

Answers

Answer:the second one

Step-by-step explanation:i Hope you get it right

Answer:

A. is the function

Step-by-step explanation:

B. couldn't be the function bc all the y-values are the same and C. isn't it bc the number one was repeated and had another answer.

Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST? 2 centimeters 4 centimeters 6 centimeters 8 centimeters

Answers

Answer:

6 cm

Step-by-step explanation:

Given that:

A line that contains the points R, S and T.

Distance between R and S = [tex]2x[/tex]

Distance between S and T = [tex]3x[/tex]

To find:

The distance between S and T = ?

Solution:

The given situation and dimensions can be represented in the form of a diagram as shown in the attached diagram.

As per given statement and in the diagram, we can deduce that the sum of distance between R and S, S and T is equal to distance between R and T.

i.e. RS + ST = RT

[tex]2x + 3x = 10\\\Rightarrow 5x=10\\\Rightarrow x = 2[/tex]

ST = 3[tex]x[/tex] = 3 [tex]\times[/tex] 2 = 6 cm

Therefore, the answer is:

Distance between S and T is 6 cm.

If the space between R and S is 2x, the space between S and T is 3x, and RT is 10 centimeters long, then ST is 6 centimeters

Point S lies between points R and T on Line segment RT

RT   =  RS   +  ST

The space between R and S is 2x

That is, RS  =  2x

The space between S and T is 3x

That is, ST  =  3x

RT is 10 centimeters long

RT  =  10cm

Substitute RT = 10, ST = 3x and RS = 2x into the equation RT = RS + ST

10  =  2x  +  3x

10   =  5x

x  =  10/5

x   =  2

If x = 2, then

ST  =  3x

ST = 3(2)

ST =  6 centimeters

Learn more here: https://brainly.com/question/20418953

In the accompanying diagram, parallel lines ĀB and CD are cut by transversal EF. If
mZ2 = 72, what is mZ 1?

someone help?!

Answers

Answer:

They are co interior angle . so mZ 1 is 72 itself

Natalie can paint 40 square feet in 9 minutes. Assuming she paints at a constant rate, write the linear equation that represents the situation.

Answers

Answer: 360  your multiplying 40x9=360.

Step-by-step explanation:

Answer:

x=4.4t

Step-by-step explanation:

you have to divide to find a constant rate

so  40/99 equals 4.4

natalie can paint 4.4 square feet every minute

x being constant and 4.4 equals that times time and thats the equation

Quick! Please help me

Answers

Answer:

yay lol

Step-by-step explanation:

Answer:

(-3, -2) and (-3, 4). Hope that helped!

Step-by-step explanation:

Which expression is a way to represent the ratio of a to b?
B:a
b to a
a/b
b/a

Pls help

Answers

It’s 35 and 23 and also it can be mans at the the cakes

if MNP = 107, what is NMQ ​

Answers

NMQ is 123°. Set it equal to 360° and use congruence

The measure of angle NMQ is 73 degrees

The given parameter is:

[tex]\angle MNP = 107[/tex]

From the given figure, angles MNP and NMQ are adjacent angles.

Given that the adjacent angles of a trapezoid add up to 180 degrees.

We have the following equation

[tex]\angle MNP + \angle NMQ = 180[/tex]

Make NMQ the subject

[tex]\angle NMQ = 180 -\angle MNP[/tex]

Substitute 107 for MNP

[tex]\angle NMQ = 180 -107[/tex]

[tex]\angle NMQ = 73[/tex]

Hence, the measure of angle NMQ is 73 degrees

Read more about adjacent angles at:

https://brainly.com/question/1149840

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