At 5 p.M., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes at the same constant rate, x degrees per hour, throughout the night at both locations. The temperature at the first station 3 hours after this recording is the same as the temperature at the second station 4 hours after this recording.

Answers

Answer 1

Answer:

- 8° per hour

Step-by-step explanation:

Given that:

Station A = - 6°

Station B = 2°

Rate of temperature change = x° / hour ; which is the same at both stations

Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;

Temperature change in Station A:

-6 + 3x

Temperature change in station B:

2 + 4x

Temperature change in A = temperature change in B

-6 + 3x = 2 + 4x

Collect like terms

3x - 4x = 2 + 6

- x = 8

x = - 8

Hence, the rate of temperature change x in both stations is - 8° per hour


Related Questions

You are making a salad. The ratio of olives to croutons is 5 : 3. You put 12 croutons in your salad. How many olives do you put in your salad?

Answers

Answer:

20

Step-by-step explanation:

12/3 (the number of croutons) = 4

Since 4 is your base number, you would multiply 4 x 5.

20 olives

Answer:

20

Step-by-step explanation:

Ratio of olives : croutons is 5 : 3.

If you put 12 croutons, you put 4 times the amount of croutons in the ratio since 12/3 = 4.

That means you must also put 4 times the number of olives.

4 * 5 = 20

Answer: 20

how many times does 70 go into 2,800

Answers

Answer:

40

Step-by-step explanation:

Answer:

40

here is the awnser buddy I hope it's right

Shayla has 6— pounds of potato salad into containers each of which holds 1— pounds. How many containers does she need?

Answers

Answer:

she needs 6 containers.

Step-by-step explanation:

1 pound goes into each container. 6/1=6 so she needs 6 containers.


Write in y=mx+b form

Answers

Answer:

y = -2/3x

Step-by-step explanation:

To write in y=mx+b form, you need the y-intercept (b) and the slope (m).

The y-intercept is the point the line crosses the y-axis.  This line crosses the y-axis of (0, 0).  This makes the y-intercept equal to 0.

The slope is the rise of the line over the run of the line.  Pick two points from the line.  It doesn't matter which ones, you will get the right answer regardless.  

I picked (0, 0) and (-3, 2).  Subtract the x-values from each other, and subtract the y-values from each other.

-3 - 0 = -3  (x)

2 - 0 = 2  (y)

Divide the y by the x to find the slope.

2/-3 = -2/3

Plug in the slope and y-intercept into the equation.

y = mx + b

y = -2/3x + 0

y = -2/3x

what is the sum of ​

Answers

Answer:

C

Step-by-step explanation:

Ms. Sanchez bought 3 pounds of turkey to make sandwiches for her family. She uses 1/3 of a pound for each sandwich. How many sandwiches can she make?

Answers

Answer:

the  total number of sandwich required is 9

Step-by-step explanation:

The computation of the number of sandwiches made is as follows:

She bought 3 pounds

And one third of pound she required for each sandwhich

So, the total number of sandwich required is

= 3 ÷ 1 ÷ 3

= 3 × 3

= 9

Hence, the  total number of sandwich required is 9

The same is to be considered

hudson went into a restaurant and bought 8 hamburgers and 4 drinks, costing a total of $52. Levi went into the same restaurant and bought 5 hamburgers and 7 drinks costing a total of $46.

Answers

Answer:

The price of each hamburger is $5 and the price of each drink is $3.

Step-by-step explanation:

x --> the price of each hamburgery --> the price of each drink8x+4y=525x+7y=46Solve system of equationsThe intersection is (3,5)

Write an inequality for the graph below

Answers

Answer:

y > -1/4x + 4

Step-by-step explanation:

First find the equation of the line itself, which is y = -1/4x + 4, then determine if graph shades above the line or below the line. If it shades above which is true in this case, it will be greater than. If it shades below which does not occur in this case, it will be less than. Because the line is dashed and not solid, it will just be greater than or less than.

Therefore y = -1/4x + 4 → y > -1/4x + 4 [Shades above the line, line is dashed].

determine weather the line is parallel perpendicular or neither

x = 6 and 6 — x = 8

Answers

Answer:

neither

Step-by-step explanation:

got it right 2020

Gabriel lives in a state where the sales tax rate is 6.25%. If Gabriel purchase an item for $60.00, how much sales tax does he need to pay for his purchase?

Answers

Answer:

Gabriel needs to have $3.75 for sales tax.

Step-by-step explanation:

A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)

If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).

And 375 cents equals $3.75.

Use the figure to the right. Find x

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]\textsf{Mean basis Theorem;}[/tex]

        [tex]\overline{JK}=2.\overline{NO}[/tex]

  [tex]3x+26=2\times19[/tex]

          [tex]3x=38-26[/tex]

           [tex]3x=12[/tex]

             [tex]x=12/3[/tex]

            [tex]\boxed{x=4}[/tex]

Which shows the correct expanded form and product of 35 x 3?
O (30 x 3) = (5 x 3) = 6
(30 x 3) - (5 x 3) = 75
(30 x 3) + (5 x 3) = 105
(30 x 3) x (5 x 3) = 1,350

Answers

Yt. W at we see f. Mmm

Answer:

(30 x 3) + (5 x 3) = 105

Step-by-step explanation:

Factor with the distributive property (no variables)
90+27=

Answers

Your answer is 9(10 + 3)

Tell me if you need an explanation

it said in the question how do we solve of the side b​

Answers

Is this your final are you taking a test

What is the correct answer?

Answers

Answer:46

Step-by-step explanation:

The correct answer is 46

6th grade math i mark as brainliest​

Answers

Answer:

the answer is 8 bro

Step-by-step explanation:

4 to the power of 2 = 4 x 2 = 8

Answer

that is a  hard one

Step-by-step explanation:

[205.8-[4^(2)]+5]*4= 779.2

for the first one

Original price: $10 New price: $7
Is it a discount,
Or a mark up.

Answers

Answer:

discount

Step-by-step explanation:

goes under og price

Answer: 17

Step-by-step explanation:

9 3/5 as a improper fraction

Answers

Answer:

48/5

Step-by-step explanation:

hope it helps!

......

write in standard form (×+4)(×-5)=4 find the value of a,b,c​

Answers

Answer:

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

(x + 4)(x - 5) = 4

x(x - 5) = [tex]x^{2}[/tex] - 5x

4(x - 5) = 4x - 20

[tex]x^{2}[/tex] - 5x + 4x - 20 = 4

[tex]x^{2}[/tex] - x - 20 = 4

[tex]x^{2}[/tex] - x - 20 - 4 = 0

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

whoever answers the question first and right will get brainly

Answers

Answer:

b

Step-by-step explanation:

Reduce to simplest form.
-5/8+(-8/5)=?

Answers

Answer:

[tex]-2\frac{9}{40}[/tex]

Step-by-step explanation:

[tex]-\frac{5}{8}+(-\frac{8}{5}) = -\frac{25}{40}-\frac{64}{40}[/tex] (find common denominator)

[tex]=-\frac{89}{40}[/tex]

[tex]=-2\frac{9}{40}[/tex] (reduce to simplest form)

Hope this helps :)

Fine the UNIT RATE: 8 apples for $3
You can't do that, it doesn't divide out evenly
A..38
B..375
C.2.6666.......
D.2.67

Answers

Answer:

d

Step-by-step explanation:

8/3

The answer is d because 2.67

2. A pizza restaurant charges y amount for a pizza based on the x number of toppings you select. What
does the slope and the y-intercept tell you about the price of the pizzas using this equation: y = 1.50x +
7.50
Write answer here
3. A linear model is given by y = 1.3x + 15, where x is the number of seconds that a person is riding a

Answers

Answer:

slope should be 1.50x and your y-intercept should be 7.50

Step-by-step explanation:

Which of the following represents a function

Answers

Answer:

D represents a function pretty sure I had a problem like this as well

Step-by-step explanation:

C is the answer because the same input (x) number can not be matched twice with and output (y). The numbers in the input(x), or domain, constantly goes up by one, and the output(y), or range, constantly goes down by one.

I hope this helped!! Please correct me if I was wrong :)

The circumference of the base of a right circular cylinder is 252 cm. Find the lateral surface area if the height is 3 m.​

Answers

Answer:

The lateral surface area is  [tex]80,638.4 \ cm^2[/tex]

Step-by-step explanation:

Lateral Surface Area of a Cylinder

It can be computed with the formula:

[tex]\displaystyle A=\pi r^2+2\pi rh[/tex]

Where:

r = radius of the circular base

h = height

The circumference of the base can be calculated as:

[tex]C = 2\pi r[/tex]

We are given the circumference C=252 cm, let's find the radius solving for r:

[tex]\displaystyle r=\frac{C}{2\pi}[/tex]

[tex]\displaystyle r=\frac{252\ cm}{2\pi}[/tex]

r = 40.1 cm

Now we calculate the lateral surface area knowing h=3 m=300 cm:

[tex]\displaystyle A=\pi 40.1^2+2\pi 40.1*300[/tex]

[tex]\boxed{A = 80,638.4 \ cm^2}[/tex]

The lateral surface area is [tex]80,638.4 \ cm^2[/tex]

6 x - 2 (x - 5) = 22

Answers

Answer:

x = 2.75

Step-by-step explanation:

6x - 2 (x - 5) = 22

6x -2x + 10 = 22

4x + 10 = 22

     - 10    - 10

4x = 11

11/4 = 2.75

x = 2.75

Let me know if you need any more help!

The graph below shows a system of equations:
5
y = -x + 5
.
4
3
2
K
+
+0
-1
2
6
y = x - 1
-2
-3
+
-57
The x-coordinate of the solution to the system of equations is
(5 points)

Answers

Answer:

x=2

Step-by-step explanation:

  y=-x+5

-1(y)=(x+1)-1   = -y=-x-1

   y=-x+5

+ -y=-x-1

  0=-2x-4

0=-2x-4

+4     +4

4=2x

1/2(4)=(2x)1/2

2=x

The x-coordinate of the solution to the system of equations is 3.

What is a system of equations?

A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations. The number of equations and unknowns affects the existence and uniqueness of the solution. A system of equations can be classified similarly to single equations.

Given that, the graph given shows a system of equations,

We know that, the solution of the system of equations, is given by the point where the lines intersect,

So, here the lines intersect, at (3, 2)

Therefore, the x-coordinate is 3

Hence, the x-coordinate of the solution to the system of equations is 3.

Learn more about system of equations click;

https://brainly.com/question/12895249

#SPJ7

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

what is 5x - 8= x
[tex]5x - 8 = x[/tex]

Answers

Answer:

..........................2

What is the absolute value of -7? 7 - 1/7 1/7

Answers

Answer:

7

Step-by-step explanation:

First ones 7 second ones 7 third ones 1/7 forth ones 1/7

Step-by-step explanation:

Because absolute value basically means the distance from zero so the  distance from zero from -7 is 7 the same with 7 and the distance from zero with -1/7 is you guested it 1/7 and follow suit for 1/7 and you got your answers

Hope this helps ;)

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