One of the zookeepers solved to find Bernard's speed
when he is, healthy using the equation:
x - 41.5 = 13.5.
The other Zookeeper said that to solve for Bernard's
speed when he is healthy, they must use the equation:
41.5 + 13.5 = x.
Which zookeeper is correct? Explain.

Answers

Answer 1
The second zookeeper is correct you need two answers together to get x
Answer 2

Answer:

Well both zookeepers are correct but the second zookeepers answer was more accurate.

Step-by-step explanation:

The first zookeeper gave the equation :

[tex]x - 41.5 = 13.5[/tex]

So , In order to find Benards speed which is denoted as x , we would still have to collect like terms to isolate x.

The second zookeeper gave the equation :

[tex]41.5 + 13.5 = x[/tex]

In this equation the zookeeper had already isolated x so, only simple addition was needed to find Bernard's speed.

This equation is easier to solve.


Related Questions

In ΔIJK, ∠K ≅∠J, IJ = 9 and JK = 10. Find the length of KI.

Answers

Answer:

KI = 9

Step-by-step explanation:

In ΔIJK,

∠K ≅∠J (given)

Therefore,

IJ ≅ KI (sides opposite to equal angles are equal)

Since,

IJ = 9

So,

KI = 9

amanda had to pay sales tax on a new iphone case she purchased last week. The iphone case was 35.00 and she pid 2.45 in taxes, what percent of the original price did she pay in taxes?

HELP

Answers

Answer:

7%

Step-by-step explanation:

[tex]\frac{2.45}{35} = \frac{x}{100}[/tex]

[tex]2.45*100[/tex] and [tex]35x[/tex]

[tex]\frac{245}{35} = \frac{35x}{35}[/tex]

[tex]245/35=7[/tex]

What is the equation of the line that passes through the point (-4,-6)(−4,−6) and has an undefined slope?

Answers

Answer:

x = -4

Step-by-step explanation:

there is no y-intercept when slope is undefined

Undefined slope indicates a vertical line passing through the x-axis at the x-coordinate of any known point

You have 33 math and science problems for homework. You have 7 more math problems than science problems. How many problems do you have in each subject?

For this question type the two equations that you are using and your solution to the system.

Answers

Answer:

x=33/7         m=7+x

Step-by-step explanation:

33 divided by 7 is 5 (when rounded) then you add 5 to 7 and get 12. Hope this helped yu!! Give brainliest.

Answer:

x=33/7         m=7+x

Step-by-step explanation:

so if you divide 33 by 7 you get 4.71428571429 which would be 5 when rounded and then you add 5 to 7 to get 12 I HOPE THIS HELLPEEDD

Mr Sanchez brought in 2 magazines for 9.95

Answers

Answer:

good for Mr. Sanchezbut thats a bit expensive ya know?????/

Step-by-step explanation:

Is there anymore info??

Please help me solve these problems! I'll give you all my brain points. IM DESPERATE!!!
:-;

Answers

Answer: kg

Step-by-step explanation:

Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings

Answers

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

if there are 250 fish in the lake and 50 more are added each year, write a linear equation

Answers

linear equation: y = 50x + 250

Find the equation of a line that passes through the points (-1,3) and (3,5). Leave your answer in the form y = m x + c

Answers

Answer:

y

=

2

x

+

13

Explanation:

You can use point-slope form to determine the slope

m

:

y

2

y

1

=

m

(

x

2

x

1

)

Given:

p

1

=

(

x

1

,

y

1

)

=

(

3

,

7

)

p

2

=

(

x

2

,

y

2

)

=

5,3)

Finding the slope:

3−7=m(5−3)−4=2m⇒m=−2

Step-by-step explanation:

If a quadratic equation has no real solutions, is it still a function? I don't seem to know why

Answers

Answer:

That’s interesting I would figure isn’t a function because the point of a function is to find the solution but if there is no solu then it has lost its purpose.

Please help 10 pts!!

Answers

Answer: Any positive number less than 16

The diagram shows AD = 16. Applying a dilation with positive scale factor less than 1, will make the figure shrink. Segment AD becomes smaller, so the new AD will be some length less than 16.

For instance, if you use a scale factor 1/2 = 0.5, then AD = 16 turns into A'D' = 16*0.5 = 8

Expand the expression 2(y + 5x)

Answers

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

How much is 2% of 3.50

Answers

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

what is the greatest common factor between 20 and 25

Answers

Answer:

5

Step-by-step explanation:

Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get through 3 shirts per hour. In addition, the tailors had previously finished some shirts. Valentina has already completed 15 shirts, and Laura has completed 11 shirts. Valentina and Laura decide to take a break when they have finished the same total number of shirts. How many shirts, in total, will each tailor have finished? How long will that take?

Answers

Answer:

Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.

Total number of shirts finished by Valentina [tex]=23[/tex]

Total number of shirts finished by Laura [tex]=23[/tex]

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in [tex]t[/tex] hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina [tex]=2t+15[/tex]

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura [tex]=3t+11[/tex]

Therefore,

[tex]2t+15=3t+11\\3t-2t=15-11\\t=4[/tex]

So,

Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.

Total number of shirts finished by Valentina [tex]=2(4)+15=8+15=23[/tex]

Total number of shirts finished by Laura [tex]=3(4)+11=12+11=23[/tex]

I need help with number 21 please help!!!

Answers

Answer:

This is not a direct variation.

Step-by-step explanation:

Direct variation:

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

(y varies directly with x with a constant variation of k)

[tex]y=kx;\ k\neq0[/tex]

[tex]y=kx\qquad|\text{divide both sides by}\ x\\\\\dfrac{y}{x}=k\Rightarrow \dfrac{y}{x}=constant[/tex]

[tex]21.\\\\x=y+2\qquad|\text{subtract 2 from both sides}\\\\x-2=y\qquad|\text{divide both sides by}\ x\\\\1-\dfrac{2}{x}=\dfrac{y}{x}\ro\dfrac{y}{x}=1-\dfrac{2}{x}\neq constant[/tex]

:P HELLLP what is (13x20)5+6 = ___ - 1/3.

Answers

Answer: 1304.7

Step-by-step explanation: just took test

13x20. 5 + 6 = 11?
^. ^
260 11

3x −4 = 11 what is the answer

Answers

Answer:

x=5

Step-by-step explanation:

Answer:

the answer is x=5                              

Express 0.495 in standard form

Answers

Answer:

4.95 x 10^-1

Step-by-step explanation:

4.95 x 10^-1

4.95 x 10^-1 is your answer.

how do u do this im confused

Answers

Answer:

Line one answers: -x^2.  2x^2.  0.  5x^2

Line two answers: -x^2.  12x^2.   -2x^2.   8x^2

Line three answers: 4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

Answer:

-x^2.  2x^2.  0.  5x^2

-x^2.  12x^2.   -2x^2.   8x^2

4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

what is the quotient of -0.05 ÷ -5/16​

Answers

Answer:

Step-by-step explanation:

-0.05 you will multiply with reversal of -5/16

-0.05 x (-16/5)= 0.01x16=0.16

fill in the blank to show an example of the symmetric property:
If JK = ST, then _ = __ ​

Answers

The answer would be ST=JK

The body mass of a bird?
A) categorical
B)Discrete
C)continuous

Answers

Answer:

Categorical

Step-by-step explanation:

If Tamair has $100 & gives $40 to her best friend Tsion, but Tsion gives $20 to Tamair, how much money does Tamair have left?

A) 90
B) 80
C) Tamair is broke
D) Tsion is broke

Answers

Answer:

B) 80

Step-by-step explanation:

Thats my bestie so dont mess with her or its gonna be a problem

What is the total including sales tax for an item that cost 75.25 at a tax rate of 8%

Answers

Answer:

$81.27

Step-by-step explanation:

75.25 X 8% = $6.02 + 75.25 = $81.27

what two numbers' sum=-4 and product=-2

Answers

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

For nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F. Which equation can be used to find the maximum and minimum temperatures at which nitrogen is a liquid, x?



The equation that can be used to find the maximum and minimum temperatures is

Answers

Answer:

For nitrogen to be a liquid, its temperature must be within 12.78 °F of -333.22 °F. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid.

Hope this helps! :D

8a x 2b ÷ 4c =
(I don't get it) ​

Answers

Answer:

The solution of the given equation is not possible. Because different variables never multiply or divide

A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.

Answers

Answer:

y=3x-1

Step-by-step explanation:

29 of the first 42 presidents of the United States were lawyers. What percentage of these presidents were lawyers? (Give answer to nearest 1%) Show work

Answers

Answer:

62

Step-by-step explanation:

divide 29 by 42 and multiply the answer by 100

Answer: 69.05%

Step-by-step explanation:

21=50%

10.5=25%

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