Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^\circ∘ Fahrenheit. If the weather forecaster says it will be 30LaTeX: ^\circ∘ Celsius today, write and solve a linear equation to find what Fahrenheit temperature this is.

Answers

Answer 1

Answer:

[tex]F = 1.8C +32[/tex]

[tex]F = 86^{\circ}F[/tex]

Step-by-step explanation:

Represent Celsius with C and Fahrenheit with F.

So, we have:

[tex](C_1,F_1) = (100,212)[/tex]

[tex](C_2,F_2) = (0,32)[/tex]

Solving (a): Represent as a linear equation

First, we calculate the slope:

[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]

This gives:

[tex]m = \frac{32 - 212}{0 - 100}[/tex]

[tex]m = \frac{-180}{- 100}[/tex]

[tex]m = 1.8[/tex]

The linear equation is then calculated using:

[tex]F - F_1 = m(C -C_1)[/tex]

Where

[tex](C_1,F_1) = (100,212)[/tex]

[tex]m = 1.8[/tex]

[tex]F - 212 = 1.8(C -100)[/tex]

[tex]F - 212 = 1.8C -180[/tex]

Make F the subject

[tex]F = 1.8C -180+212[/tex]

[tex]F = 1.8C +32[/tex]

Solving (b): The value of F when C = 30

Substitute 30 for C in [tex]F = 1.8C +32[/tex]

[tex]F = 1.8 * 30 + 32[/tex]

[tex]F = 54 + 32[/tex]

[tex]F = 86[/tex]

Answer 2

Answer:

person above me is wrong


Related Questions

Does anyone get this?

Answers

noo i don’t get it lol

An aquarium costs $85
plus $2 per fish. Write an equation to
find the cost c of an aquarium plus
any number of fish f. Make a table to
find the cost of an aquarium plus 3, 4,
5, or 6 fish.

Answers

Answer:

C=85+2x

Step-by-step explanation:

c=85+2(3)     --   $91

c=85+2(4)     --   $93

c=85+2(5)     --   $95

c=85+2(6)     --   $97

If Sheila drove 152 km at an average speed of 95 km/h, how much time did her trip take?

(NEED TO SHOW YOUR WORK)

Answers

1.6 hours

152 km total divided by her speed, 95 km/h =1.6

1.6 hrs

152 divided by 95 equals 1.6 hrs

Hope this helps learned in math class and that is the answer

Pls give me BRAINLIEST

?????????????????????????????

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

∠ABC = 60° , ∠BAC = 60° & ∠ACD = x °

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Value of x

[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }

[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]

[tex] \sf{x \degree = 120 \degree}[/tex]

[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

can you guys please help i would appreciate it , 15 points ! please, i’ll mark you brainliest!

answer the 2 questions

Answers

the first one is 12% and the second one is 32.30

sorry that's all I know

But I think is 12%

that is my answer#carry on learning

Part ?? of i need these

Answers

the answer is
R = 74
Q = 32
:)

Answer:

You already have the answer so ima just get the points

Have a good night

Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?

Answers

Answer:

stage 1 -280

stage 2 -220

stage 3 -160

stage 4 - 100

it takes 6 stages to return to the surface.

Step-by-step explanation:

What is the range of the function graphed below?

Answers

Answer:

The range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

Step-by-step explanation:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

From the given graph, we can easily observe the vertical extent of the graph is all range values  between -∞ and 2.

In other words,

The range of the function lies in the interval: ( -∞, 2)

Therefore, the range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

can someone please help me ​

Answers

Try and use Desmos if you still need help comments

PLEASE ANSWER I WILL MARK AS BRAINLIESTTTTTT
Simplify the expression by combining like terms.

43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53

Answers

Answer:

56a + 40b

Step-by-step explanation:

hope this helps!

Answer: 56a + 40b

Step-by-step explanation:

43a - 12b + 13a + 52b

Bring like terms together

43a + 13a - 12b + 52b

Combine like terms

56a + 40b

Hope that helped!

Macy Chapman - Answers to lea

1 invest £4600 in a bank account
paying
2.1%
compound interest. How much do I have in the account
after 5 years?

Answers

Answer:

£5083

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.1%/100 = 0.021 per year,

then, solving our equation

I = 4600 × 0.021 × 5 = 483

I = £ 483.00

The simple interest accumulated

on a principal of £ 4,600.00

at a rate of 2.1% per year

for 5 years is £ 483.00.

Factor the polynomial using the pattern
X^2+9x+18

Answers

Answer:

(x+6)(x+3)

Step-by-step explanation

What adds to 9 and mutiplies to 18 6 and 3 so then you split 9 into 3x and 6x then take parts x^2+3x    6x+18  

                       x(x+3)          6(x+3)

                                 x+6 x+3

Felix spent $12 on a movie ticket and x amount of money on snacks. He spent no more than a total of $22 dollars. Which inequality could be used to find the amount of money Felix could have spent on snacks?

Answers

$12+X is less than or equal to $22

NERDS HELP ME !!!!!!!!

Answers

Answer:

63 it's the closest

Step-by-step explanation:

Answer:

the answer is 21 π

Step-by-step explanation:

[tex]V= \pi r^{2} \frac{h}{3}[/tex]

r=3

h=7

7/3 x 3^2 = 21

=21π

x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)

Answers

Answer:

x= -74 or -84

Step-by-step explanation:

x^2+3x+37=-7x

x^2+3x+7x+37=0

x^2+10x+37=0

this convert to following

[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]

-b= -(10), a= 1, c =37

according to that

x= -74 or x= -84

Work out these approximate conversions. 8 miles=..... km​

Answers

Answer:

12.87 km

Step-by-step explanation:

searched it up

HELP!!!

Solve for the value of x
-3x - 8 = -20
A. 4
B. 28/3
C. -28/3
D.-4|

Answers

The answer to the question is: A.4 x=4

Answer:

A. 4,  X = 4

Step-by-step explanation:

-3x - 8 = -20

Move the constant to the right-hand side and change its sign

-3x = -20 + 8

Calculate the sum

-3x + -12

Divide both sides of the equation by -3

x = 4

Solution

x = 4

Heyy please answer pleaseeeeee help me

Answers

Answer:

no solution

Step-by-step explanation:

Your favorite shoes were on sale for 35% off. The shoes have a regular price of $160. Sales tax was 4%. What is the total price paid for the shoes including the discount and tax?

Answers

Answer:

108.16

Step-by-step explanation:

Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)

Answers

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Which of the following is the solution set of the given equation?
(x-3)-2(x+6)=5

Answers

Answer:

the answer is x=-20 there you go

Answer: x = - 20 Hope I Helped!!

Step-by-step explanation:

Distribute

Eliminate Redundant Parentheses

Subtract The Numbers

Combine Like Terms

Add 15 to both sides of the equation!!!

I need some help ? Does anyone know this:)I’m new too this thats why im asking loll

Answers

Answer:

C≈31.42

Step-by-step explanation:

Radius=5 (10 divided by 2)

C=2πr

Brainly plss

PLEASE ANSWER QUICKLY!

Answers

Answer:

x = -9 Its B

Step-by-step explanation:

Because it can go both ways either + or -

Answer:

d

Step-by-step explanation:

b/c |-9|+10=19  |9|+10=19   |0|+10=10

8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?

Answers

Answer:

15 people voted yes and 3 people voted no.

Step-by-step explanation:

Given that:

Ratio of yes to no = 5 : 1

Total number of board members who voted = 18

Let,

x be the number of times.

5x+x = 18

6x = 18

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]

People who voted yes = 5(3) = 15

People who voted no = 3

Hence,

15 people voted yes and 3 people voted no.

Which inequality is graphed on the coordinate plane?

Answers

Answer:

B

Step-by-step explanation:

The slope is 4/1 which equals 4

the y int is 2

this gives us 4x+2

the line is dotted which mean there is no equal sign with the inequality

The shaded area is above the line, meaning y is greater

Help ASAP!!!! I DONT GET IT

Answers

pie x r^2
3.14x 4^2 = 50.24 cm^2 (area of circle)

basexheight divided by 2
8x4 divided by 2 = 16 cm^2 (area of triangle)

50.24-16= 32.24 cm^2

why i chose 8=
the radius is 4 so base (diameter) = 8

If y = 4x + 3 is changed to y = 7x-1, how would the graph of the new function compare with the first
one? Describe its steepness and how it might shift.

Answers

The line is going to be steeper because the slope is bigger. The line shifts 4 units down.

2 questions for math?

Answers

Answer:

True

True

I am a Jedi

true and false is your answer

Help please and thank you!

Answers

17.5, i’m pretty sure :)

a small auditorium can seat 320 people which inequality best represents the number of people who can sit in the auditorium pls help I am in 5th grade I have been stuck on this for a week and two days now I have to finish this this is due tomorrow sorry if I spelled wrong!:)

Answers

Answer:

Step-by-step explanation:

Answer is p/320

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