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:
person above me is wrong
Which type of function is shown in the table below?
Answer:
Linear function
Step-by-step explanation:
None of the X values repeat so its Linear
HEEEEEEEEEEELPPPPPPPPP PLEASEEEEEEE URGENT 15 POINTS+ MORE
Answer:
y - 70, x - 73 should be the answer
Step-by-step explanation:
please help me it's in like 10 minutes..................
Answer:
The annual interest rate is 12.05%
Step-by-step explanation:
PLEASE HELP URGENT!!
An irregular polygon is shown below:
A: 21 Square Inches
B: 22 Square Inches
C: 26 Square Inches
D: 29 Square Inches
Answer:
[tex]26\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The irregular polygon is made of a large rectangle with two smaller rectangles cut out of it. Therefore, we can find the area of the large rectangle and subtract these two smaller rectangles:
[tex]10\cdot 5-2\cdot3\cdot4=50-24=\fbox{$26\:\mathrm{in^2}$}[/tex].
Solve: 8x+14y=4 6x+7y=10
Answer:
Therefore, x = 4 and y = -2.
Step-by-step explanation:
The steps are ;
[tex]8x + 14y = 4[/tex]
[tex]2(4x + 7y) = 4[/tex]
[tex]4x + 7y = 2 - - - (1)[/tex]
[tex]6x + 7y = 10 - - - (2)[/tex]
[tex](2) - (1)[/tex]
[tex]6x - 4x = 10 - 2[/tex]
[tex]2x = 8[/tex]
[tex]x = 4[/tex]
[tex]sub \: x = 4 \: into \: (1)[/tex]
[tex](1)⇒[/tex]
[tex]4(4) + 7y = 2[/tex]
[tex]16 + 7y = 2[/tex]
[tex]7y = - 14[/tex]
[tex]y = - 2[/tex]
Best buy is having 20 percent off deals on TVs. if the TV cost $415 in total, how much would you pay with the discount?
Answer:
$332.00
Step-by-step explanation:
In five games of bowling. Gabes combined score was 380. Find his score per game. Round to the nearest tenth of a cent when necessary
HELP PLEASE
need help ASAP
Write an equation in whatever form you choose with the given characteristics Perpendicular to y= -1/2x - 8 and passes through: (7. -6)
Answer:
[tex]y+ 6 = 2 (x-7)[/tex]
Step-by-step explanation:
1) Lines that are perpendicular have slopes that are opposite reciprocals of each other. y = -1/2x - 8 is in y = mx + b form, in which the number in place of m represents the slope. So, the slope of y = -1/2x - 8 is -1/2. The opposite reciprocal of it would be (remember to flip the fraction and reverse the sign) 2. So, 2 is the slope we need for the answer.
2) When you know a point that the line must pass through and its slope, you can use point-slope form ([tex]y-y_1 = m (x - x_1)[/tex]) to write an equation. [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of the point the line intersects, and m represents the slope. So, substitute 2 for m, 7 for [tex]x_1[/tex], and -6 for [tex]y_1[/tex].
[tex]y-(-6) = 2 (x- 7)\\y + 6 = 2 (x-7)[/tex]
The hypotenuse of a triangle is 37 millimeters long. One of the legs is 24.5 millimeters long. What is the measure of the missing leg? Round to the nearest tenth, if necessary.
Answer: 27.7 millimeters
Step-by-step explanation:
Let the missing leg be represented by x.
We will use Pythagoras formula to solve this. The measure of the missing leg will be:
x² = 37² - 24.5²
x² = 1369 - 600.25
x² = 768.75
x = ✓768.75
x = 27.7
The missing leg is 27.7 millimeter
Help pleasee!!!!!!!!
Answer:
5
Step-by-step explanation:
40/8 is 5 and that is my explanation
If x = 3 and y = 8 , evaluate the following expression: y − x
Answer:
5
Step-by-step explanation:
y-x
8-5 = 5
The value of the expression y - x is 5.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
y - x
The value of y - x when x = 3 and y = 8.
= y - x
= 8 - 3
= 5
Thus,
The value of the expression is 5.
Learn more about expressions here:
https://brainly.com/question/3118662
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A wind blowing in the direction 0o causes an airplane to drift up 15o from its' original heading of 90o. The ground speed is 336km/hr. Find the airspeed of the plane
Answer:
324.6 km/hr
Step-by-step explanation:
Since the plane drifts up 15° from its original heading of 90°, it is at a bearing of 90° - 15° = 75°.
Now, since its ground speed is 336 km/hr, its air speed, v is the horizontal component of its ground speed since the wind is blowing in the 0° direction. So, v = (336 km/hr)sin75°
= 324.55 km/hr
≅ 324.6 km/hr
4x^2 - 12x - 3
what would the answer be if x = 7
Answer:
4(7)^2-12(7)-3
4×49-84-3
112-3
109
Answer: Your correct and final answer should be 109.
Step-by-step explanation:
All you need to do solve this problem is substitute for X using 7. {After you you plug just use PEMDAS and solve from left to right or use a calculator}
4(7)^2 -12(7) -3
4×49 -84 -3
112-3 = 109
if you have to do 198 assignments in 27 days how many assignments should you do daily?
Answer:
8 assignments a day
Step-by-step explanation:
Super store buys a basketball for $8.00 and marks it up by 40% . Find the markup amount and the selling price .
PLEASE HELP ITS DUE IN 20 MIN !
If your cost is $8.00 and you wish to markup that price by 40%, 80% + 40% = 120%. Divide the $8.00 cost by 120% and get the retail price of $15.00. Therefore, the markup amount is $7.00 ($15.00 - $8.00 = $7.00) and the selling price is $15.
Answer:
please give the other person brainliest
Step-by-step explanation:
what is 1+(-5) find the solution
Answer:
kanye west x jeffree star
Step-by-step explanation:
helpp!!! very easy question
Answer:
The answer is D, E, F or it is also D to F
Step-by-step explanation:
9514 1404 393
Answer:
A and B
Step-by-step explanation:
Speed is the change in distance divided by the change in time. That is, it is the slope of the distance vs. time curve. A steeper slope corresponds to a greater speed.
Between A and B, the slope is (30-0)/(1-0) meters/time-unit = 30 m/u.
Between B and C, the slope is (30-10)/(4-1) = 20/3 = 6 2/3 m/u.
Between C and D, the slope is 0.
Between D and F, the slope is (50-10)/(10-6) = 40/4 = 10 m/u.
The greatest slope is between A and B.
The object has the greatest speed between points A and B.
I NEED HELP REALLY BAD
I found the answer on multiple sites but can somebody please help me with the explanation as I did not find that anywhere.
Answer:
Explanation thing
Step-by-step explanation:
The larger the angle, the farther the opposite side is . (For example, the angle representing Dallas shows the rank of distance from Abilene and Austin)
Step by step explanation
Answer:
[tex]\huge\boxed{\sf x =\frac{7}{2} , y = -3}[/tex]
Step-by-step explanation:
2x + 4y = -4 ------------------------(1)
3x + 5y = -3 ------------------------(2)
Multiply Eq. (1) by 3
3(2x + 4y) = -4 * 3
6x + 12y = -12 ---------------------(3)
Multiply Eq. (2) by 2
2(3x + 5y) = -3 * 2
6x + 10y = -6 ---------------------(4)
Subtract Eq. (4) from (3)
6x + 12y - ( 6x + 10y ) = -12 - (-6)
6x + 12y - 6x - 10y = -12 + 6
12y - 10y = -6
2y = -6
Divide 2 to both sides
y = -6 / 2
y = -3
Put y = -3 in Eq. (1)
2x + 4(-3) = -5
2x - 12 = -5
Add 12 to both sides
2x = -5 + 12
2x = 7
Divide 2 to both sides
x = 7 / 2
So,
x = 7 / 2 , y = -3
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH180755) A shirt that usually costs $30 is on sale for $20. Find the percent of
the discount.
Find the amount of the discount and divide by the original price:
30-20 = 10
10/30 = 0. 333
Multiply by 100 for percent:
0.333 x 100 = 33.3333%
Round the answer as needed.
Answer:
Percentage of Discount :---
[tex] \frac{(30 - 20)}{30} \times 100 = \frac{10}{30} \times 100=\boxed{33.33\%}[/tex]
can someone please help!!! pls do not comment to get points, i will report
Answer:
25) A 26) B 27) y=-3/5-6 28) y=-15/18+4 29) y=5/4+12 30) y=-4x+3
Step-by-step explanation:
25) the line perpendicular would have the equation of y=-1/4x+b. In A, I plug in those to coordinated and they both have b as equal to -2 so they are both in the same line.
26) Find the slope of those two points (-1). Parallel lines means same slope but different y-intercepts and only B has a slope of -1.
27) Substitute those two points into the formula equation y=mx+b and solve for b
28) Solve for the slope and then solve for b by substituting
29) Write that equation into slope intercept form (y=5/4x-1). Parallel lines has the same slope but different y-intercepts. Use that slope of 5/4 and substitute those coordinates
30) Write the equation into slope intercept form (y=1/4x-5). Perpendicular lines have opposite reciprocal slopes. Find the opposite reciprocal of that slope and then substitute those coordinates
Hopefully I was able to help
You want to estimate how many fish there are in a pond. Suppose you cature 140 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 420 fish, of which 28 are tagged.
Answer:
2,100
Step-by-step explanation:
Calculation to Estimate the number of fish in the pond.
Estimated Number of fish=420 fish*140 fish/28
Estimated Number of fish=58,800/28
Estimated Number of fish=2,100
Therefore the Estimated number of fish in the pond will be 2,100
The total number of fish in the pond is 2100
Let y represent the total fish in the pond.
Data obtained from the question Tagged fish in pond = 140Captured fish = 420Captured tagged fish = 28Total fish = y =?The estimated fish in pond can be obtained as follow:
Tagged in pond / Total in pond = captured tagged fish / Captured fish
140 / y = 28 / 420
Cross multiply
y × 28 = 140 × 420
y × 28 = 58800
Divide both side by 28
y = 58800 / 28
y = 2100
Thus, the estimated fish in the pond is 2100
Learn more about estimation:
https://brainly.com/question/9583992
at the neighborhood block party, k'neisha noticed that every 5 minutes, the shadow of a nearby pine tree got six inches longer. at 4:00 pm, the shadow was 12 feet long. How long was the shadow at 5:00 pm
Answer:
18 feet
Step-by-step explanation:
60 mins an hour
5 mins + 6 inches
60/5=12
12*6 = 72
12 feet +72 inches
72 inches = 6 feet
18 feet
What is the value of x?
Answer: 10^2 = x^2 plus 6^2
100= x^2 + 36
64=x^2
8
Step-by-step explanation:
\dfrac{23}{50} 50 23 start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights? \%%
Answer:
46%
Step-by-step explanation:
Given that:
23/ 50 of Xander's friend prefer to stay at home;
Total number of friend's = 50
Number who prefer to stay home = 23
Hence, percentage who prefer to stay at home :
(23 /50) * 100%
0.46 * 100%
= 46%
answer this. please.
Answer:
D
Step-by-step explanation:
I would say D because youre trying to find red and blue so green and brown dont matter to the problem. If 12÷6= 2 then. do 60÷2=30 so they can be drawn about 30 times
HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ
hope it will help you.........
Answer:
UV=UZ+ZV
Step-by-step explanation:
UV=3y-5+2z+2
=3y+2y-3
but UV =27=3y+2y-3
30 =3y+2y
bisect means cut in to two equal parts so
3x+3=3y+6
3x-3y=6-3
3x-3y=3
then combine the two equation
30 =3y+2y this is 30=5y which is y=6
3 = 3x-3y so enter y=6 into this equation
3=3x-3*6
3=3x-18
3x=21
x=7
What is the smallest degree of rotation that will map a regular 15-gon onto itself
Answer:
13
Step-by-step explanation:
10y + x = -100
can someone help me get Y by it self
Step-by-step explanation:
10y+x=-100
10y= -100 - x
y= -100 - x/ 10
y= -10 - x/10