Answer: y = 8x
Step-by-step explanation:
Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which of these equations represents the amount of time t (in minutes) that it takes him to ride a distance of d miles?
t = 5d
t = 1/5d
t = d + 4
t = d - 4
Answer:
the first one
Step-by-step explanation:
Answer:
A) t=5d
Step-by-step explanation:
Since the problem states "He rode 1 mile in 5 minutes", that means for every mile Andre travels, it will take him 5 minutes for each mile.
Therefore, the equation that best works is t=5d because the coefficient is 5 where it's the slope representing 5 minutes per mile.
4) A TV is on sale. The TV has been reduced by 20%. The sale price is £540. What was the
original price of the TV?
Answer:
675
Step-by-step explanation:
If the price is 20 % off, then we will pay 100-20 = 80 percent of the original price
Let x be the original price
x* 80% = 540
Change to decimal form
x * .80 = 540
Divide each side by .80
.80x / .80 = 540/.80
x =675
The original price is 675
What is (-∞ , -1) ∪ [ 2 , +∞)
9514 1404 393
Answer:
interval notation for all numbers except those that are at least -1 and less than 2.
Step-by-step explanation:
The ∪ between the two sets of brackets indicates the "union" of two sets. The brackets on the left indicate the interval ...
-∞ < x < -1 . . . . . for a value represented by x
The curved brackets ( ) indicate the end values of the interval are not included, which is why the < symbol is used, and not the ≤ symbol.
The brackets on the right indicate the interval ...
2 ≤ x < +∞ . . . . . for a value represented by x
The square bracket [ ] is used to indicate the end value is included, which is why the ≤ symbol is used in relation to the end-value 2.
By convention, the interval notation lists the left end of the interval first, and always uses curved brackets for infinity.
Helps me solve this problem please
Answer:
0,2
Step-by-step explanation:
Which equation represents a line which is parallel to the line 5x-4y=-12?
Answer:
Attached image
write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers
Given:
The line passes through (-3,-6) and (2,-2).
To find:
The equation of line.
Solution:
If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through (-3,-6) and (2,-2). So, the equation of line is
[tex]y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))[/tex]
[tex]y+6=\dfrac{-2+6}{2+3}(x+3)[/tex]
[tex]y+6=\dfrac{4}{5}(x+3)[/tex]
[tex]y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)[/tex]
Subtract 6 from both sides.
[tex]y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6[/tex]
[tex]y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}[/tex]
[tex]y=\dfrac{4}{5}(x)+\dfrac{-18}{5}[/tex]
[tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex]
Therefore, the equation of line is [tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex].
At that rate, how many minutes will it
take for the plane's altitude to change
by -5,400 meters?
Please answer I need to finish this now it’s already past due
Answer:
It would require 12 minutes for the plane's attitude to change by -5,400 meters.
Step-by-step explanation:
As the altitude (or height) of a plane landing at an airport-changes at a rate of -450 meters per minute.
∴ unit rate = -450 meters/per minute
We have to determine how many will it take for the plane's altitude to change by -5,400 meters.
Altitude change per minute = -450 metersi.e.
-450 × 1 = -450 meters (altitude change in 1 minute)
so
-450 × 12 = - 5400 meters (∴ unit rate = -450 meters/per minute)
At this rate, it would require 12 minutes for the plane's attitude to change by -5,400 meters.
Because -450 × 12 = - 5400 meters
Therefore, it would require 12 minutes for the plane's attitude to change by -5,400 meters.
Simplify the expression.
4 (-y + 2) – 3y
A. y – 8
B. -7y + 2
C. -7y + 8
D. y + 8
SHOW YOUR WORK PLZSSSSSS
Answer:
B
Step-by-step explanation:
Expand to get -4y+2-3y. Combine like terms to get -7y+2.
The measures of the angles of the triangle solve for x
Answer:
x = 8
Step-by-step explanation:
if the angle is equal to 36º that means (3x+12)º = 36º so simplify the equation and solve for x
3x+12 = 36
3x = 24
x = 8
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
3x + 12 + 54 + 90 = 180, simplify
3x + 156 = 180 ( subtract 156 from both sides )
3x = 24 ( divide both sides by 3 )
x = 8
if sec(∞) < 0 and the sin(∞) = 15/17 what is the exact value of cot (∞)
simplify the following expression
(16a10)(-3a) =
Answer: Answer= 480a^2
Step-by-step explanation
1. remove the parentheses =-16a*10*3a
2. Multiply the numbers 16*10*3= 480
3. Apply exponent rule =aa=a^1+^1 = -480a^1+^1
Answer= 480a^2
50 POINTS IF YOU CAN ANSWER IT!
(Click the photo to see the math problem)
Suppose your community has 3580 people this year. the population is growing 2.5% each year.
Write an exponential function to model the population. what will the population be in 3 years? Graph the function and give the domain and the range.
Step-by-step explanation:
a could be 3580 X 1.25^n
b could be 6992.19
dk c
Triangle ABC was transformed to be triangle FED using
one transformation.
What transformation was performed?
A)translation
B)dilation
C)reflection
D)rotation
Answer:
the triangle was rotated about 90 degrees i think
Answer:
The answer is D. Rotation
Step-by-step explanation:
Took the test lol
When you can.. please answer these! THANK YOU SO MUCH WAHHH
Match the corresponding rational expressions with the letter of the correct answer.
Answer:
1-C
2-F
3-A
4-D
5-B
6-E
Step-by-step explanation:
Show the work! Ill mark Brainliest!
2x - 3y = 12
Answer:
here is explanation by graph
Help me please I’ll mark brainliest.
Answer:
40x
400
Step-by-step explanation:
you can find the pattern by dividing the output by the input
80/2 =40
240/60 =40
therefore, whatever number you have it will be muiltiplied by 40.
Write the equation of the line that goes through the point (1,3) & is
PARALLEL to the line y=2x+8 *
Answer:
y = 2x + 1
Step-by-step explanation:
Let the equation of the line be y = mx + c
since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)
sub (1, 3):
3 = 2(1) + c
c = 1
therefore, the equation is y = 2x + 1
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
If Marie were to paint her living room alone, it would take 3 hours. Her sister Patricia could do the job in 6 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Answer: 2
Step-by-step explanation:
the rate Marie paints the room= 1/3
The rate her sister paints the room= 1/6
working together their combined rate is 1/3+1/6 =9/18
the time for then to work together= 9/18
= 2 hours.
Jessica started the school year when she was 64.15 inches tall. She grew 2.87 inches during the school year. How tall, in inches, was Jessica at the end of the year? Show your work.
Answer:
67.02 inches
Step-by-step explanation:
If Jessica started out 64.15 inches and grew 2.87 inches then you know that you must add these together.
64.15 + 2.87 = 67.02
Jessica is 67.07 inches at the end of the school year.
Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to no more than $10.00. Which graph represents the number of whole pounds of peaches Albert can buy?
Answer:
He can buy 5 pounds of peaches.
Step-by-step explanation:
2 pomegranates cost $3.18 so, subtract that from $10.00 and you get $6.82. Multiply the different number of pounds with the cost per pound until you go over $6.82. Then go back a pound and multiply. 5 pounds times $1.19 equals $5.95.
Helpp me plzzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Answer:
side angle side. Seems contrary
Answer:
side angle side. Seems contrary
Step-by-step explanation:
Solve (x-4)^2 = 5
A. x= 4 +- square of 5
B. x= 9 and x= -1
C. x= 5 +- square of 4
D. x= -4 +- square of 5
Answer:
A
Step-by-step explanation:
Assuming you mean the square root of five, then the answer is A.
You start by taking the square root of both sides.
√(x - 4)^2 = ±√5
x - 4 = ±5
x = 4 ±5
Find the area of a square with a side that measures 2.2 centimeters.
Answer:
4.84cm squared
Step-by-step explanation:
square has 4 equal sides area = l x w l and w are 2.2*2.2
2.2*2
4.84cm squared
Hope this helps :D
Answer:4.84 cm^2
Step-by-step explanation:
Area = Length x Width
Area = 2.2 x 2.2
Area = 4.84 cm^2 (centimeters squared)
I need help finding the value of x please.
Answer:
X = 12
Measure of exterior angle = 80
Step-by-step explanation:
Angles P and Q are equal to the right side of R ( solve for x )
please solve both questions, i'm very confused! thank you
Answer:
Step-by-step explanation:
These types of problems can be solved with substitution.
We just have to translate the word problem into math.
#1:
F = family, I = individual
[tex]F + I = 188\\95F + 42I = 12,507[/tex]
[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]
87 Families, 101 individuals
#2:
The perimeter is 899 meters. The perimeter can be defined as:
[tex]2L + 2W = P\\2L + 2W = 899[/tex]
We are also given that
[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]
W = 333 meters, L = 233/2 meters
PH is the midsegment of Triangle KLM. Find the value of x.
Answer:
x = 26
Step-by-step explanation:
The midsegment is parallel to the side KM and half its length, thus
KM = x = 2 × 13 = 26
Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping
station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, and
advertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.)
Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%
Answer:
Amount to be repaid is $335798.833
Step-by-step explanation:
Amount of loan = $332,200
Rate of interest = 6.5%
time = 2months = 2/12 = 1/6 years
The amount of interest is simple interest
SI = [tex]\frac{P * R * T}{100}[/tex]
=[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]
= $3598.833
Final amount to be repaid = 332200+ 3598.833
= $335798.833
-8 - x = x - 4x
how does x equal to 4 and how do u do this
Answer:
x=4
Step-by-step explanation:
-x=-3x+8
-x+3x=-3x+8+3x
2x=8
2x/2 = 8/2
x = 4
i'll mark you as brainliest
Answer:
the answer is 6
Step-by-step explanation:
Find X please
36/x=8/7
Answer:
i think x=31.5
Step-by-step explanation:
the answer is x = 31.5