While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear
relationship between Fahrenheit and Celsius, but you forget the formula. you remember the freezing point of water is 0°C
or 32°F and its boiling point is 100°C or 212°F
a Write an equation that represents degrees Fahrenheit in terms of degrees Celsius. Let x represent the temperature in degrees Celsius and
let y represent the temperature in degrees Fahrenheit

Answers

Answer 1

Since , the relation is linear .

Let equation is y = mx + c .

Putting , x = 0 and y = 32 .

32 = c  .......( 1 )

Also , putting x = 100 and y = 212 .

We get :

212 = 100m + c .......( 2 )

Comparing equation 1 and 2 .

100m = 212 - 32

x = 1.8

Therefore , y = 1.8x + 32 .

Hence , this is the required solution .

Answer 2

[tex]y=\dfrac{9}{5}x+32[/tex]  represents degrees Fahrenheit in terms of degrees Celsius. where  x represent the temperature in degrees Celsius and y represents the temperature in degrees Fahrenheit.

Temperature can be expressed in different units like degrees Celsius and degrees Fahrenheit.

Let us consider two variables x and y as following:

x represent the temperature in degrees Celsius

y represent the temperature in degrees Fahrenheit

Equation depicting relation between variable x and y is

[tex]y-y_1=m(x-x_1)[/tex]...........................1

where,  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the given conditions:

[tex](x_1,y_1)=(0,32) \text{\ and\ }(x_2,y_2)=(100,212)[/tex]

Substituting to calculate the value of m,

[tex]m=\dfrac{212-32}{100-0}\\\\m=\dfrac{180}{100}\\\\m=9/5[/tex]

From equation 1

[tex]y-32=\dfrac{9}{5}(x-0)\\y-32=\dfrac{9}{5}x\\y=\dfrac{9}{5}x+32[/tex]

Thus, an equation that representing degrees Fahrenheit in terms of degrees Celsius is  [tex]y=\dfrac{9}{5}x+32[/tex].

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Related Questions

5-3(5x+2)+15x
Show and explain work

Answers

Answer:

-1

Step-by-step explanation:

5-3(5x+2)+15x

Distribute

5 - 3*5x - 3*2 +15x

5 - 15x -6+15x

Combine like terms

5-6 -15x+15x

-1

Let's simplify step-by-step.
5−3(5x+2)+15x
Distribute:
=5+(−3)(5x)+(−3)(2)+15x
=5+−15x+−6+15x
Combine Like Terms:
=5+−15x+−6+15x
=(−15x+15x)+(5+−6)
=−1


Help me please thank you

Answers

it should be 10 1/2 sorry if i’m wrong
the quarter of trail mix is 5 3/4

Find all the zeros of the quadratic function.
y=x²-11x+18

Answers

Y= (X-9)(x+2)
X=9
X=-2

Given y2 + 5y - 6 = (y + p)(y +q) find the
values of p and q.

Answers

Answer:

p = 6, q = - 1

Step-by-step explanation:

Factor the left side and compare to right side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1, since

6 × - 1 = - 6 and 6 - 1 = + 5, thus

y² + 5y - 6 = (y + 6)(y - 1)

Compare with (y + p)(y + q) , then

p = 6 and q = - 1

1 less than the product of 2 and a number

Answers

2x-1 because the product of 2 and a number would be 2x and less than one; less than is subtract so in that case it would be 2x-1.

Product of 2 and a number less than 1 is 2a - 1

Given:

Product of 2 and a number less than 1

Find:

Expression

Computation:

Assume;

Another number is "a"

So,

According to question:

2(a) - 1

Product of 2 and a number less than 1 = 2a - 1

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What are the 2 steps that are wrong

Answers

Answer:

Step-by-step explanation:

Step 2 to Step 3.

This is a major error. Minus signs always create trouble.

4 - 21 = -17

To this you add 30

- 17 + 30 = 13

So the answer is sqrt(13)

Answer:

Step 3 to step 4

5.47 rounded to the nearest tenth

Answers

Answer:

5.5

Step-by-step explanation:

5.47 to the nearest tenth. Go to the next digit after tenths. It is greater than 5. So, the tenth digit is one greater. 5.5 is the answer.

The required, 5.47 rounded to the nearest tenth is 5.5.

What is rounding of values?

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
Rounding to the nearest tenth means finding the number that is closest to the original number but with one decimal place. In this case, the number 5.47 rounded to the nearest tenth would be 5.5.

The rounding rule is to look at the digit in the hundredth place (the digit to the right of the tenth place). If the digit is 5 or greater, we round up to the next whole number. If the digit is less than 5, we leave the number unchanged.

In this case, the digit in the hundredth place is 7, which is greater than 5. So, we round up the digit in the tenth place, making the number 5.5.

So, 5.47 rounded to the nearest tenth is 5.5.

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State the domain and range of the given relation

(-4,3), (-1,-4), (0, -4), (2, 3), (3, -3) (4, 7)

Answers

Answer:

work is shown and pictured

Alebra 1 - 10pts
Solve for x.

x/4 ≥−8

A. x≤−2

B. x≤−32

C. x≥−32

D. x≥−2

Answers

Answer:

C. x≥−32

Step-by-step explanation:

Multiply both sides by 4

Answer:

C, you have to multiple both sides. Let me know if you need it explained further.

Step-by-step explanation:

3x(x+30°) i really need help asap

Answers

A13x2+390x here is the answer

Answer:

x=15

Step-by-step explanation:

Simplifying

x + 30 = 3x

Reorder the terms:

30 + x = 3x

Solving

30 + x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

30 + x + -3x = 3x + -3x

Combine like terms: x + -3x = -2x

30 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0

30 + -2x = 0

Add '-30' to each side of the equation.

30 + -30 + -2x = 0 + -30

Combine like terms: 30 + -30 = 0

0 + -2x = 0 + -30

-2x = 0 + -30

Combine like terms: 0 + -30 = -30

-2x = -30

Divide each side by '-2'.

x = 15

Simplifying

x = 15


Find the slope of the line between the points (1, 4) and (-1,6)

Answers

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 1, 6)

m = [tex]\frac{6-4}{-1-1}[/tex] = [tex]\frac{2}{-2}[/tex] = - 1

When a number is divided by -4 the quotient is -224. Find the number.

Answers

Answer:

896

Step-by-step explanation:

Simply multiply -224 * -4.

Which of the following is equivalent to 125%


7\4

0.125

5/4

1.025

Answers

[tex]\huge\boxed{\boxed{\bold{\frac{5}{4}}}}[/tex]

[tex]\hrulefill[/tex]

Let's start by finding [tex]125\%[/tex] in decimal form. To do this, just divide the percentage by [tex]100[/tex]:

[tex]125\div100=1.25[/tex]

This doesn't match any of our choices, so we'll try fraction form.

A percentage in fraction form is just the percentage over a denominator of [tex]100[/tex].

[tex]\frac{125}{100}[/tex]

Now we divide both the numerator and denominator by their greatest common factor, which is [tex]25[/tex]:

[tex]\frac{125\div25}{100\div25}=\large\boxed{\frac{5}{4}}[/tex]

can u help me if u don't mind tbh tho

Answers

Answer:

Step-by-step explanation:

1. 13x + 2 = 4x + 38

   9x + 2 = 38

    9x = 36

     x = 4

2. 6(2/3 + q/6 = 5/6q + 1/3)

      4 + q = 5q + 2

    4 - 4q = 2

     -4q = -2

       q = 2/4= 1/2

3. 6n + 24 = -18

    6n = -42

     n = -7

4. -11 + 3b + 15 = 7

   3b + 4 = 7

    3b = 3

    b = 1

5. 5 + 2n + 2 = 2n

   2n + 7 = 2n

   0 ≠ 7

6. 7 - 3r = r - 8  - 4r

  7 -3r = -3r - 8

  0 ≠ -15

7. 14v + 6 = 10 + 14v - 4

  14v + 6 = 14v + 6

  0 = 0

  infinitely many solutions

8. 5h - 7 = 5h - 10 + 3

   5h - 7 = 5h - 7

    0 = 0

   infinitely many solutions

9. a. 10x + 10 (triangle)

    b. 4x + 2x + 26 = 6x + 26 (rectangle)

      10x + 10 = 6x + 26

     4x + 10 = 26

     4x = 16

      x = 4

answer is A

Step-by-step explanation:

The largest artery is the aorta, the main high-pressure pipeline connected to the heart's left ventricle. The aorta branches into a network of smaller arteries that extend throughout the body. The arteries' smaller branches are called arterioles and capillaries.

In a quiz show, I get 23 out of 50 questions right. What
percentage did I get right?

Answers

Answer:

46%

Step-by-step explanation:

percentage=23÷50×100%

=46%

Answer:

I'm not sure but i think it's 46% of questions

Use the distributive property to multiply -3(-2 3/10). A. (-3)(-2) + (-3) (-3/10) B. (-3)(-2) + (-3/10) C. (3)(3/10) + (-3/10) D. (3 + 3/10)(-3 + (-2))

Answers

Answer:

[tex]A.\ (-3)(-2) + (-3)(3/10)[/tex]

Step-by-step explanation:

Given

[tex]-3(-2 - 3/10)[/tex]

Required

Simplify

[tex]-3(-2 - 3/10)[/tex]

Apply Distributive Property;

This simply means that; we expand the bracket;

So, we have;

[tex]= (-3)(-2) + (-3)(3/10)[/tex]

From the list of given options, option A answers the question

Answer:

A

Step-by-step explanation:

I took the quiz

Write an algebraic expression that represents the following statement: “7 less than the quotient of 5 and n" *

Answers

[tex]\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}[/tex]

[tex]\hrulefill[/tex]

We'll start with the expression for the quotient of [tex]5[/tex] and [tex]n[/tex], which means we'll use division:

[tex]\frac{5}{n}[/tex]

Now we find [tex]7[/tex] less than that, meaning we'll use subtraction:

[tex]\frac{5}{n}\bold{-7}[/tex]

How many solutions does the following equation have?
14x + 12] = 0

Answers

Answer:

[tex]x=-\frac{6}{7}[/tex]

It has one solution

Step-by-step explanation:

[tex]14x + 12] = 0\\\\14x+12=0\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\14x+12-12=0-12\\\\Simplify\\14x=-12\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{-12}{14}\\\\Simplify\\x=-\frac{6}{7}[/tex]

Solve the formula for m.
e = MC^2
M=

Answers

Answer:

[tex] M = \frac{e}{C^2 } [/tex]

Step-by-step explanation:

[tex]e=MC^2 \\ \frac{e}{C^2 } = M \\ \huge \red{ \boxed{M = \frac{e}{C^2 } }}[/tex]

Each year, the science club puts on a science show for the students in the elementary school. Luis is planning demonstrations to show properties of metals. For one property, he decides to use a ball of pizza dough and a rolling pin.

Which property of metals is Luis most likely going to demonstrate using these materials

luster
opacity
conductivity
malleability

Answers

Answer:

D. Malleability because he is most likely going to show how you can easily roll pizza dough

Step-by-step explanation:

Answer:

malleability or D

Step-by-step explanation:

on a coordinate grid, line segment ab has midpoint p at (4,-3). if endpoint b has coordinates of (24,16), what is the x-coordinate of point a?

Answers

Answer:  

(-16,-22)

Step-by-step explanation:

B (24,16)

Mid point (4,-3)

24 is -20 away from 4

16 is -19 away from -3

4-20=  -16

-3-19= -22

The math club at Emily's middle school has 40 members. Only 85% of the members attend Saturday meetings. Use the number line below to determine the number of members who attend Saturday's mee

Answers

Answer: 34 members.

Step-by-step explanation:

We have 40 members.

Only 85% of them attend the Saturday meetings.

If we have a set of N objects, and the x% of them can be calculated as:

(x%/100%)*N

Now, if we want to know the exact amount that attends the Saturday meetings, then we must compute:

(85%/100%)*40 = 0.85*40 = 34.

Answer:

Please see attached number line

The 85% corresponds with having 34 members in attending Saturday meetings

Step-by-step explanation:

The number of members in the math club at Emily's middle school = 40

The percentage of members that attend Saturday meetings = 85%

Therefore, the number of members that attend Saturday meetings is given as follows;

85% of 40 = 0.85 × 40 = 34 members

Where we have a number line graduated in percentages, we get;

Percentage of members, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

Number of members, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

Therefore, the 85% corresponds with having 34 members in attending Saturday meetings

someone.. anyone ? and tell me if the answer is 7: 13 because I'm guessing it is either 7:13 or 7:20 ​

Answers

Answer:

The ratio is 7:13

Step-by-step explanation:

help me plz i will mark

Answers

Answer: I think it's the 2nd one

and I'm not guessing but yea it's probably the 2nd one

Step-by-step explanation:

find the value of each power 5^-2

Answers

Answer:

5⁻² = 1/25

3⁴ = 81

Step-by-step explanation:

  5⁻² = 1/5² = 1/25    3⁴ = 3² * 3² = 9*9 = 81

On a bookshelf there are 5 paperback books and 3 hardcover books. Is the ratio of books to hardcover books 5 : 3? Explain.

Answers

Answer:8:3

Step-by-step explanation:

there are 5 paper back and 3 hardcover

the first part of the ratio is 8 bc the TOTAL number of books is 8 then the second part (3) is the hardcover books making the ratio 8:3

Please help brainiest !!

Answers

Answer:

2760 ft^3

Step-by-step explanation:

volume of a cube formula:

Length * width* height

volume of the big cube

= 11*10*22

= 2420 ft^3

volume of the small cube

=7*4*10

=280 ft^3

now to find the total volume

= volume of the big cube + volume of the small cube

=2420 + 280

=2760 ft^3

To ensure profits, a store is going to sell a sweater for 115 percent of the production cost. It costs $10 to make the sweater. Below are the calculations for finding the selling price. What mistake did the store owner make? (Original Cost)(Percent) = New Cost ($10)(0.115) = $1.15 The new cost is correct. The owner should have divided by 0.115. The owner should have multiplied by 11.5. The owner should have multiplied by 1.15.

Answers

Answer:I did the test and the answer is The owner should have multiplied by 1.15.

Step-by-step explanation:

Sample text

To make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.

What is percentage?

" Percentage is defined as the hundredth part of any given number".

According to the question,

Production cost of a sweater = $10

To ensure profit , selling price = 115 percent of the production cost

(Original Cost)(Percentage)

[tex]= (10)(\frac{115}{100} )[/tex]

[tex]= $11.5[/tex]

Hence, to make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.

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Kelly can draw 15 shapes in 2 minutes how long does it take kelly to draw 120 shapes in the same rate

Answers

Answer:

16

Step-by-step explanation:

15/120

2/x     (cross multiplication

Answer:

Your answer is 16 Minutes

Step-by-step explanation:

Very Easy!

15 Shapes/ 2 minutes = 120 Shapes/ X Minutes

Rearrange that, you get 15X = 240 as you cross multiplied,

240/15 = 16!

X=16!

Solve for M
D=m/v
Show your work

Answers

Answer: m=vD

Step-by-step explanation:

To get m alone, you want to use algebraic properties.

[tex]D=\frac{m}{v}[/tex]                  [multiply both sides by v]

[tex]m=vD[/tex]    

Now that we have mass alone, we know that m=vD.

^ THEY ARE CORRECT ! you must multiply both sides
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