Answer:
length / width = 80/20 = 32/8 =4
so scale factor is 4
Step-by-step explanation:
Look at this formula showing the relationship between temperature degrees Celsius and temperature in degrees Fahrenheit C = 5/9 * (P - 32) Which of these equations represents the given formula written in terms of H = 9/5 * (C + 32) H = 9/5 * (C - 32) P = 9/5 * C + 32 F = 9/5 * C = 32
Answer:
The equation which represents the given formula written in terms of P is
P = 9/5 * C + 32
Step-by-step explanation:
Seems the question is: Which of these equations represents the given formula written in terms of P. If so, we will make P the subject of the given formula.
C = 5/9 * (P - 32)
This can be written as
[tex]C = \frac{5}{9} \times (P-32)[/tex]
Multiplying both sides by 9, we get
[tex]9 \times C = 9 \times \frac{5}{9} \times (P-32)[/tex]
[tex]9C = 5 \times (P - 32)\\[/tex]
Now, divide both sides by 5, we get
[tex]\frac{9C}{5} = \frac{5 \times (P - 32)}{5}[/tex]
This gives
[tex]\frac{9}{5} \times C = P - 32[/tex]
Now, Add 32 to both sides of the equation
[tex]\frac{9}{5} \times C + 32 = P - 32 + 32[/tex]
This becomes
[tex]\frac{9}{5} \times C + 32 = P[/tex]
Hence
[tex]P = \frac{9}{5} \times C + 32[/tex]
That is, P = 9/5 * C + 32
Hence, the equation which represents the given formula written in terms of P is P = 9/5 * C + 32.
A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles l, as shown in the diagram
Real quick please. At a carnival it costs $6.54 for 3 tickets. Write an equation that can be used to express the relationship between the total cost (t) and the number of tickets(n) you buy.
Answer:
t=2.18n
Step-by-step explanation:
Total cost is 6.54 for 3 tickets so divide 6.54 by 3 and you get price per ticket which is 2.18. Multiply that by how many tickets you want and you get your final price.
The drama club is printing t-shirts for its members. The printing company charges $6.50
per shirt plus a setup fee of $40.
2. Which of the following are solutions for this problem? Hint: There are TWO correct
answers.
t = 25 C = 202.50
Ot= 35 C = 205
O t = 50 C = 365
Given:
Setup fee = $40
Additional charges = $6.50 per t-shirt
To find:
The solutions for this problem.
Solution:
Let C be the total cost for t t-shirt.
Additional cost of 1 t-shirt = $6.50
Additional cost of t t-shirt = $6.50t
Setup fee = $40
Then, Total cost = setup fee + Additional charges
[tex]C=40+6.50t[/tex]
For t=25,
[tex]C=40+6.50(25)[/tex]
[tex]C=40+162.5[/tex]
[tex]C=202.5[/tex]
So, t = 25, C = 202.50 is a solution.
Similarly,
For t=35,
[tex]C=40+6.50(35)[/tex]
[tex]C=40+227.5[/tex]
[tex]C=267.5\neq 205[/tex]
So, t = 35, C = 205 is not a solution.
For t=50,
[tex]C=40+6.50(50)[/tex]
[tex]C=40+325[/tex]
[tex]C=365[/tex]
So, t = 50, C = 365 is a solution.
Therefore, the correct options are A and C.
If you can do this then pls do it correctly my report card is coming on Friday I want good grades :))
Answer:
32.4
Step-by-step explanation:
So if we divide 54 by 5 we get 10.8 ( her height
then we multiply 2 by her height which is 10.8 and that will give us 21.6 .
the last step is subtracting, So we get Sharon's height which is 54 and subtract that by 21.6 and that will gives us 32.4! :D
After 2 hours, Ernie had travelled 192 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?
Answer:
the answer is "480"
Step-by-step explanation:
so 192 divided by 2 hours is 96 so thats 96 miles per hour then I simply do 96 x 5 hours
Answer: 480
Step-by-step explanation:
Since we know that after two hours Ernie travelled 192 miles, we need to find the miles for one hour. We can find this by dividing the miles by the number of hours travelled so far. 192/2 = 96. We now know that Ernie travels 96 miles an hour. In order to calculate it for 5 hours, we need to times the 96 by 5. 96 * 5 = 480. Ernie travelled 480 miles in 5 hours.
One number is six more than another number. The sum of their squares is 90.
need help help me guys,
Hello!
[tex]\large\boxed{x + 2}[/tex]
[tex]\frac{2x^{2} +x}{2x-2} + \frac{x-4}{2x-2}[/tex]
The denominators are equal, so we can simply combine the numerator:
[tex]\frac{2x^{2} +x+ x - 4}{2x-2}[/tex]
Combine like terms in the numerator:
[tex]\frac{2x^{2} +2x - 4}{2x-2}[/tex]
Factor out 2 from the entire fraction:
[tex]\frac{2(x^{2} +x - 2)}{2(x-1)}[/tex]
Cancel out 2 from both the numerator and denominator:
[tex]\frac{x^{2} +x - 2}{x-1}[/tex]
Factor the numerator to simplify further:
[tex]\frac{(x + 2)(x - 1)}{x-1}[/tex]
Cancel out x - 1:
[tex]x + 2[/tex]
please answer right.
Answer:
C) 8x-4
Step-by-step explanation:
Ultimately you want the two problems to be equal. It is not 6x because if you distribute 3 in this case, you will get 18x so it is 8x, it is also not -12 because it will be -36 as a result, so your answer is 8x-4.
At a bakery, two workers earn the same amount of money in one afternoon, working the same number of hours. Rheehan is a manager and makes $16 an hour. He also receives $4 in tips. John makes $11 an hour and receives $29 in tips. How many hours did each worker work at the bakery that afternoon?
Answer:
5 hours
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Property
Step-by-step explanation:
Step 1: Set up Equations
h is the amount of hours. Both workers make the same amount of money (l).
Rheehan: l = 16h + 4
John: l = 11h + 29
16h + 4 = 11h + 29
Step 2: Solve for h
Subtract 11h on both sides: 5h + 4 = 29Subtract 4 on both sides: 5h = 25Divide 5 on both sides: h = 5simplify: 11(4u + 6)
Answer:
44u+66
Step-by-step explanation:
11(4u+6)=44u+66
If-1 is a root of f), which of the following must be true?
O A factor of fx) is (x- 1).
O A factor of f(x) is (x + 1).
O Both (x- 1) and (x + 1) are factors of f(x).
Neither (x- 1) nor (x + 1) is a factor of f(x).
Answer:
A factor of f(x) is (x + 1).
Step-by-step explanation:
When we put x+1= 0 then we get the value x= -1
This value is then put into the function to find out whether it is a root or not. For a root to exist it must not have a remainder or the remainder must be zero.
Suppose the function is
F(x)= 2x³ - 42x - 40
f(-1)= 2(-1)³ - 42(-1) - 40
f(-1)= -2 + 42- 40
f(-1)= 0
This gives -1 as the root of the function.
The amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y = 22x + 42.
From the function, identify all the phrases that hold true for the situation.
Answer:
Only two are correct;
a) The electrician charges an initial fee of $42
b) The electrician charges $22 for every hour worked
Step-by-step explanation:
Here, we want to select all possible correct options;
Kindly understand that the equation of a straight line can be represented in the form;
y = mx + c
where m is the slope and c is the y-intercept (where x = 0)
1. The electrician charges an initial fee of $22
This is wrong. $22 represents the slope and it indicates a rate of change and not an initial fee
2. The y-variable represents the number of hours
This is wrong. What the y-variable represents is the amount charged in US dollars
3. The electrician charges an initial fee of $42
This is correct. The y-intercept value is the value when x is zero
4. The electrician charges $22 for every hour worked
This is correct. From the equation, 22 represents the change which is the slope
It is the amount charged per hour
5. The x-variable represents the electrician’s charges in dollars
This is wrong. As we can see from the question, the x-variable represents the number of hours
6. The electrician charges $42 for every hour worked
This is wrong. What $42 represents is the charge at 0 hour which means the charge at x = 0
What percent of 90 is 45?
Answer:
Hi, I'm getting confused as what you're trying to imply here. But I'll assume that it's 90% of 45. In this case.
Step-by-step explanation:
90% * 45 = 40.5
Therefore: 40.5 (final answer)
Cheers! :)
The area of a rectangle is 54x y9 3 6x y4 yards, 8 square yards. If the length of the rectangle is which expression represents the width of the rectangle in yards?
Answer:
[tex]b=9x^6y^4[/tex]
Step-by-step explanation:
Area of a rectangle, [tex]A=54x^9y^8[/tex]
Let us assume, the length of the rectangle, [tex]l=6x^3y^4[/tex]
We need to find the expression for the width of the rectangle.
The formula for the area of a rectangle is given by :
[tex]A=lb[/tex]
b is width
Put the values of A and l in the above formula and solve for b.
[tex]b=\dfrac{A}{l}\\\\b=\dfrac{54x^9y^8}{6x^3y^4}\\\\=9x^{9-3}y^{8-4}\\\\=9x^6y^4[/tex]
So, the width of the rectangle is [tex]9x^6y^4[/tex].
Given 2 points how would you write an algebraic representation
Answer:
Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
( 5) + ( 1 ) = (5)(1)
6 7 (6)(7)
Answer:
57
Step-by-step explanation:
I don't know that Ise ay but I think it's 57 haha if it's not after i'm sorry
Stuart planted a shrub that was 64 centimeters tall. He measured the shrub regularly and found that it grew 1.8 centimeters each week. How many weeks after Stuart planted the shrub was its height 76.6 centimeters?
Answer:
C. 7 weeks.
Step-by-step explanation:
Since the shrub was 64 cm tall at first, take away 64 from 76.6. Now we are left with 12.6. Let's divide 12.6 by 1.8 (that's how many cm it grows per week). When we do this, we are left with 7. This means it took 7 weeks for the shrub to reach 76.6 cm. I hope this helps!
What is -5(2x + y - 4)
Answer: [tex]-10x-5y+20[/tex]
Step-by-step explanation:
Multiply each term in the parenthesis by -5:
[tex]-10x-5y+20[/tex]
[tex]-5*2x-5y-5*(-4)[/tex]
Calculate the Product:
[tex]-5*2x-5y-5*(-4)[/tex]
[tex]-10x-5y-5*(-4)[/tex]
Solution:
[tex]-10x-5y+20[/tex]
Please mark brainliest if this helped you :)
what is the slope of the line that includes points (36,-30) and (39,27)
Answer:
The slope of the line is 19
Step-by-step explanation:
slope=(y2-y1)/(x2-x1)=(27-(-30))/(39-36)=57/3=19
Therefore, the slope of the line is 19
Use the coordinates J(7, 8), K(1, 2) and L(5, 2) for △JKL.
The centroid for △JKL is at point M. What is JM rounded to the nearest tenth?
Group of answer choices
4.3
4.8
7.2
2.4
Answer:
The answer is the second option 4.8
Step-by-step explanation:
I just did the test.
The distance between the point JM will be; 4.81 units.
What is the centroid of the triangle?The centroid of a planar figure or firm figure, also known as the point of intersection or center of the figure, is the mean absolute position of all of the other points on the subject's surface.
The centroid of the triangle is given by;
(x, y) = [(x₁ + x₂ + x₃) / 3, (y₁ + y₂ + y₃) / 3]
Given that the coordinates J(7, 8), K(1, 2) and L(5, 2) for △JKL. Then the centroid for △JKL is at point M is given;
(x, y) = [(7 + 1 + 5) / 3, (8 + 2 + 2) / 3]
(x, y) = (13/3, 12/3)
(x, y) = (13/3, 4)
Therefore, the distance between the point JM is calculated as given;
D² = (13/3 - 7)² + (4 - 8)²
D² = 7.1111 + 16
D² = 23.11
D = √23.11
D = 4.81 units
The distance between the point JM will be; 4.81 units.
More about the centroid of the triangle link is given below.
brainly.com/question/10708357
#SPJ2
You plant flowers in your garden and only 75% of them sprout how many can you predict to sprout if you plant 20 seeds?
SOMEONE PLEASE HELP WITH THIS KHAN ACADEMY QUESTION ONLY DO IT IF YK WHAT U DOING DONT GUESS
Answer:
A. 32.5
Step-by-step explanation:
1st, HELLO! Sorry I took a while to answer. You are probably already done but...
You need to find the distance for each line segment. So, since AB is flat, we know it is equal to 4. If you form a triangle on BC, the legs would be 8 and 5. So, 8^2+5^2=89=c^2 so c=sqrt89 or about 9.4. Now, CD has legs of 4, so (4^2)*2=32=c^2. C~5.656~5.7. DE has legs of 8 and 5 so 8^2+5^2=64+25=89. Sqrt89 is about 9.4. EA is 4. So, combine them all and you get
4+9.4+5.7+9.4+4=32.5
:)
Jewel brought home four gallons of milk. How many quarts is four gallons?
Answer:
16
Step-by-step explanation:
there are four gallons
1=4 quartz
so u multiply
4 x 4 = 16
4=16
Let f be defined as shown. What is f^-1(-4)?
Answer:
maybe -4/f if your just evaluating
Step-by-step explanation:
Answer:
It's 9
Step-by-step explanation:
I just got it right.
Question 2
Create an angle adjacent to ZBAC using point A as its vertex and AB as one of its sides. Set the measure of the new angle equal to mZBAC
from question 1. Extend a ray from point A beyond BC. Label the intersection of the ray and BC as point D. Paste a screenshot of your work
below.
Answer:
Step-by-step explanion
PLATO answer
Answer:
Plato and Edmentum sample answer
There is also question 3 in case you can't find it
Like and Rate! Brainly!
in scientific
notation
(3.46% 10%) + (3.2 x 106)
Answer:
339.26
Step-by-step explanation:
Please help me asap!!!
Step-by-step explanation:
Angle y measures 90 degrees.
The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
Answer:
[tex]\boxed{\frac{23}{3} ~in}[/tex] or [tex]\boxed{7,7~in}[/tex]
.
Step-by-step explanation:
Suppose, the first side is a, the second side is b, and the third side is c. So:
→ a = s - 4
→ b = s
→ c = (s - 4) + 3
→ a + b + c = 15
First step, find the value of s
a + b + c = 15
(s - 4) + s + (s - 4) + 3 = 15
3s - 5 = 15
3s = 15 + 5
3s = 20
[tex]s = \frac{20}{3}[/tex]
So, the third side is
c = (s - 3) + 4
c = s + 1
c = [tex]\frac{20}{3} + 1[/tex]
[tex]c = \frac{23}{3}[/tex]
.
Happy to help :)
Answer:
the answers is 7,7 in
Step-by-step explanation:
hope this help
The square has sides of length 3 cm and the arcs
have centres at the corners. Find the shaded area.
Answer:
Shaded area= 5.14 cm² (3 s.f.)
Step-by-step explanation:
Please see the attached picture for the full solution.
