Answer: The perimeter of rectangle M'N'O'P' =54 cm
Step-by-step explanation:
When we dilated a figure , then the image is the similar figure them the original.
For similar figures,
[tex]\dfrac{\text{Area of original figure}}{\text{Area of image}}=\dfrac{(\text{perimeter of original figure})^2}{(\text{perimeter of image})^2}[/tex]
As per given, Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm².
Area of M'N'O'P' = 126 cm²
then,
[tex]\dfrac{14}{126}=\dfrac{18^2}{(\text{(perimeter of M'N'O'P'})^2}\\\\\Rightarrow\ \text{(perimeter of M'N'O'P'})^2=\dfrac{324}{14}\times126\\\\\Rightarrow\ \text{(perimeter of M'N'O'P'})^2=2916\\\\\Rightarrow\ \text{perimeter of M'N'O'P'}=\sqrt{2916}=54[/tex]
Hence, the perimeter of rectangle M'N'O'P' =54 cm
Identify the vertex of the quadratic function:
f(x) = -(x - 2)2 – 3
Answer:
(2, -3)Step-by-step explanation:
[tex]f(x)=a(x-h)^2+k[/tex] vertex form of equation with vertex (h, k)
[tex]\left \big{f(x)=a(x-h)^2+k}\atop \big{f(x)=-(x-2)^2-3}\right\}\implies a=-1\,,\ h=2\,,\ k=-3[/tex]
So vertex of f(x) = - (x - 2)² - 3 is (2, -3)
help!!
Your vacation costs you $500 for the airline ticket plus $100 per day, d. How much would it cost for a 7-day vacation?
Answer:
1,200$
Step-by-step explanation:
500+700 = 1.200$
700 = 100 per day for 7 day vacation
Answer:
$1200
Step-by-step explanation:
So the equation will look like this if d is days and c is cost: c=100d+500 this is it because the $500 is only a one-time fee while $100 is the rate of change so it depends on the number of days you are on vacation. Now since we know how many days we have to go we can just plug it in d: c=100(7)+500
Simplify: c=700+500
Add: c=1200
Answer: $1200
Hope this helps!
Change these decimals to percents. .52, .08, 2.5, .004
Answer:
52%, 8%, 250% 0.4%
Step-by-step explanation:
When changing a decimal to a percent you move the decimal two spots to the right.
Si a2 - b2 = 7 (a + b), entonces a - b =
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[tex](a + b)(a - b) = 7(a + b)[/tex]
Divide sides by ( a + b )
[tex] \frac{(a + b)(a - b)}{(a + b)} = \frac{7(a + b)}{(a + b)} \\ [/tex]
[tex](a - b) = 7[/tex]
[tex]a - b = 7[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 0 < x < 3.
Note: in decimal form, this fraction converts to roughly 34.67
=========================================================
Explanation:
Highlight the rows that have x = 0 and x = 3. Cross out or cover the other two rows up.
The two rows that have x = 0 and x = 3 show y = f(x) = 4 and y = 108 respectively.
So we have the two points (0,4) and (3,108). We need to find the slope of the line through these points to find the average rate of change from x = 0 to x = 3.
Turn to the slope formula
m = (y2-y1)/(x2-x1)
m = (108-4)/(3-0)
m = 104/3
We cannot reduce the fraction further.
Using a calculator,
104/3 = 34.67 approximately
-1/4 - 1/2 divided by -4/7
Answer:
21/16 is 1.3125
Step-by-step explanation:
-1-4-1/2
-1/4-2/4
-1-2 is -3/4
-3/4 / -4/7
-3/4 *-7/4
--21/16 which is +21/16
A shoppers discount club charges a monthly fee of $15 and sells gasoline for $3.55 per gallon. The gas station across the street sells gasoline for $3.85 per gallon in charge is no fee. How many gallons of gasoline would you have to buy in one month to spend the same amount at either store? Write an equation to model the situation. Then solve.
Answer:
a. 15 + 3.55x = 3.85x b. 50 gallons
Step-by-step explanation:
a. Let x be the number of gallons of gasoline bought in the one month which makes the amount the same in either store.
The amount it costs to buy x gallons of gasoline in the shoppers discount club is 15 + 3.55x and the amount it costs to buy x gallons of gasoline in the gas station is 3.85x.
Since the amount is supposed to be the same after x gallons, we have that
15 + 3.55x = 3.85x
b. Solving this equation for the gallons of gasoline, x we find that
15 + 3.55x = 3.85x
collecting like terms, we have
15 = 3.85x - 3.55x
15 = 0.30x
x = 15/0.30
x = 50 gallons
So, they must buy 50 gallons of gasoline to spend the same amount in one month.
A page in Johanie’s workbook is torn, and one of the questions is cut off. She can read only the first part of the question:
“In which quadrant would you find point P if the coordinates of P are (–5, ...”
Assuming that P is not on an axis, what are the possible answers to this question?
quadrant I or quadrant II
quadrant II or quadrant III
quadrant II or quadrant IV
quadrant III or quadrant IV
Answer:
quadrant II or quadrant III
Step-by-step explanation:
Answer:
its quadrant II or quadrant III
Step-by-step explanation:
Please help please.
Answer:
It will be the 4th one because that is what a function is
Can you guys tell me what is 5/6 - 2/15=
Answer:
7/10
Step-by-step explanation:
Answer:
answer is 7/10 and as a decimal 0.7
Step-by-step explanation:
9 is the diameter for circle j with a center at the origin and a diameter of 18
true or false
Answer:
Step-by-step explanation:
True
A gear is rotated 6.5 times. How many radians has it been rotated?
Answer:
6
Step-by-step explanation:
help!!
A car travels 50 miles per hour, h. What expression represents the total distance you’ve traveled?
Answer:
d = 50h
Step-by-step explanation:
d = distance , h = hours , 50 miles an hour , so 50h
The expression that represents the total distance traveled is 50h .
What is the meaning of Distance ?Distance is the measure of total movement from one place to another , It is a scalar quantity and can be expressed as m and is not dependent upon the direction of the motion.
It is given that
A car travels 50 miles per hour
expression that represents the total distance traveled = ?
Speed = Distance / Time
Given speed = 50 miles/hour
Let h represents the total time
50 = Distance traveled/h
Distance Traveled = 50 h
Therefore the expression that represents the total distance traveled is 50h .
To know more about Distance
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Ms. Field counts chapter tests as 40% of a student’s grade, homework as
20%, quizzes, and classwork as 20%, and final exams at 20%. Lydia has an
average of 89 before the final. What score must she get correct on the
final to bring her grade up to 90?
Answer:
The answer is 94%
Ethan got some money for his birthday. He spent 15of it on dog treats. Then, he divided the remainder equally among his 3 favorite charities. What fraction of his money did each charity receive? If he donated $60 to each charity, how much money did he receive for his birthday?
Multiply. Use the greatest common factor to write each answer in simplest form. 21 * 3/7
Answer:
9
Step-by-step explanation:
21*3/7
3*3 which is 9 so 9 is the answer
Answer:
9
Step-by-step explanation:
mark above answer brillinty
thanks for points ...♡
4500 people attended a football game. If 25% of the people who attended were teenagers, how many teenagers attended the game?
Answer: 1,125
Step-by-step explanation:
We have to find out what is 25% of 4,500.
Let's subtract by thousands first. We have to subtract 75% of the thousands.
4,000 - 3,000 = 1,000
Now, we have to subtract 75% of 500.
500 - 400 = 100
Now, we have to subtract 75% of 100. We currently have 1,100.
100 - 75 = 25
Add 1,100 and 25.
1,100 + 25 = 1,125
Hope this helps!
While visiting Crimson Lake, Sally decided to go kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to rent the kayak. If she rented the kayak from 11:30 am to 2:30 pm, find the total cost to rent the kayak.
plz help asap
this is linear equation
Answer:
50.50
Step-by-step explanation:
Question; 8.50x+25
x=number of hours rented
answer: 50.50
Use front-end estimation to estimate the difference.
92.1 - 18.56
70
50
60
80
Answer:
70 is the answer.....Thank you ☺️
9-3 divided by 1/3 + 1 is?
Answer:3
PLEASE GIVE BRAINLIEST IT HELPS ALOT. THANKYOU.
Which of the following opitions have the same value as 5 percent of 35?
Answer:
1.75 is the same value as 5 percent of 35.Step-by-step explanation:
Even though there aren't any
options for what 5 percent of 35
is, I can find it out without multiple choice.
Answer = 1.75
Hope this helps! <3
is 6 the answer or no?
Answer:
You are right
Find the slope of the line that passes through (5, 6) and (1,9).
Answer:
m = -3/4
Step-by-step explanation:
random characters ahagauabaklZo
Answer:
The slope is -3/4 or -.75.
Step-by-step explanation:
y1-y2 over x1-x2
Plug it in
9-6 over 1-5.
9-6=3
1-5=-4
Which equals -3/4 or -.75.
I need someone to match these please
Answer:
Details below
Step-by-step explanation:
Equivalent Ratios
Two ratios are equivalent if they have the same value. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.
We are given 8 ratios. We'll simplify them to match the blue ratios shown in the image.
[tex]\displaystyle \frac{30}{54}=\frac{30/6}{54/6}=\frac{5}{9}=5:9[/tex]
[tex]\displaystyle \frac{27}{45}=\frac{27/9}{45/9}=\frac{3}{5}=3:5[/tex]
[tex]\displaystyle \frac{64}{16}=\frac{64/16}{16/16}=\frac{4}{1}=4:1[/tex]
[tex]\displaystyle \frac{33}{55}=\frac{33/11}{55/11}=\frac{3}{5}=3:5[/tex]
[tex]\displaystyle \frac{56}{64}=\frac{56/8}{64/8}=\frac{7}{8}=7:8[/tex]
[tex]\displaystyle \frac{28}{32}=\frac{28/4}{32/4}=\frac{7}{8}=7:8[/tex]
[tex]\displaystyle \frac{52}{13}=\frac{52/13}{13/13}=\frac{4}{1}=4:1[/tex]
[tex]\displaystyle \frac{45}{81}=\frac{45/9}{81/9}=\frac{5}{9}=5:9[/tex]
The ratio 3:5 must be dragged with the ratios
[tex]\displaystyle \frac{27}{45}, \frac{33}{55}[/tex]
The ratio 5:9 must be dragged with the ratios
[tex]\displaystyle \frac{30}{54}, \frac{45}{81}[/tex]
The ratio 7:8 must be dragged with the ratios
[tex]\displaystyle \frac{56}{64}, \frac{28}{32}[/tex]
The ratio 4:1 must be dragged with the ratios
[tex]\displaystyle \frac{64}{16}, \frac{52}{13}[/tex]
please help me solve this question ✋. a scientist used 3 gallons of liquid for every 7 hours he works. he uses ___ of a gallon each hour he works
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction
Answer: 3/2*4/15
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
in a group of 50 people, 11 can not swim. what percent of people can not swim?
Answer: 22%
Step-by-step explanation:
If 22 + 5 = 8x, then 12x =?
Answer:
Well x=3.375
Step-by-step explanation:
That's all I got.... sorry......
Xian and his cousin Kai both collect stamps. Xian has 56 stamps and Kai has 72. The boys recently joined different stamp collecting clubs. Xian's club will send him 12 stamps per month. Kai's club will send him 8 stamps per month. After how many moths will Xian and Kai have the same number of stamps? How many will each have?
Answer:
After how many moths will Xian and Kai have the same number of stamps?
4 months
How many will each have?
104 stamps
Step-by-step explanation:
Let the number of stamps that they collect be represented by x
Xian and his cousin Kai both collect stamps.
Xian has 56 stamps . Xian's club will send him 12 stamps per month.
= 56 + 12× x
= 56 + 12x
Kai has 72 stamps. Kai's club will send him 8 stamps per month.
= 72 + 8 × x
= 72 + 8x
After how many moths will Xian and Kai have the same number of stamps?
56 + 12x = 72 + 8x
Collect like terms
12x - 8x = 72 - 56
4x = 16
x = 16/4
x = 4
Therefore, after 4 months, Xian and Kai would have the same number of stamps.
How many will each have?
x = 4
56 + 12x = 72 + 8x
56 + 12 × 4 = 72 + 8 × 4
56 + 48 = 72 + 32
104 = 104
Each of them will have 104 stamps.
The library surveyed a total of 180 people about their favorite type of movie. If 40% of the people chose action movies, what part of the people chose action movies?
