Verify that the figures are similar. Similar figures, or shapes, are ones in which the angles are congruent, and the side lengths are in proportion.
Find a corresponding side length on each figure. You may need to rotate or flip the figure so that the two shapes align and you can identify the ...
Set up a ratio. For each pair of similar figures, there are two scale factors: one you use when scaling up, and one you use when scaling down. If ...
Simplify the ratio. The simplified ratio, or fraction, will give you your scale factor. If you are scaling down, your scale factor will be a proper answer
An apartment building contains 100 units. The one-bedroom units rent for $600 per month. When all the units are rented out, the total monthy rent paid by the tenants is $55,275. How many two-bedroom apartments are there?
O 45
O 66
O 55
O 50
Answer:
55
Step-by-step explanation:
Let x represent the number of one bedroom units and y represent the number of two bedroom units.
Since the apartment building contains 100 units:
1) x + y = 100
The total monthly rent paid by the tenants is $55,275, so:
2) 495x + 600y = 55275
Solving equation 1 and 2 gives:
x = 45, y = 55
So, there are 55 two-bedroom units in the apartment.
Solve for x. -3+8x-5=-8 A. -2 B. -1 C. -3/4 D. 0
Answer:
0
Step-by-step explanation:
-3+8x-5=-8
8x-8=-8
8x=-8+8
x=0/8
x=0
Answer:
D. 0
Step-by-step explanation:
-3+8(0)-5 = -8
Mila invested $82,000 in an account paying an interest rate of 4 % compounded
annually. Chase invested $82,000 in an account paying an interest rate of 5%
Compounded quarterly. To the nearest dollar, how much money would Mila have in
her account when Chase's money has tripled in value?
Answer:
Step-by-step explanation:
A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating, a procedure used to determine the age of an object, the researcher discovers that the fossil is 3600 years old.
Find the percent error
What other estimate gives the same percent error
Answer:
11.1%
Step-by-step explanation:
% error = [(3600-3200)/3600] * 100
= 11.1%
The equation of line p is y+7= – 1/2 (x–5). Line q is parallel to line p and passes through (4,8). What is the equation of line q? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Answer:
y = -1/2 x + 10.
Step-by-step explanation:
The line q has the same slope (-1/2) as line p as the 2 lines are parallel.
Equation of the line q:
y - 8 = -1/2(x - 4)
y - 8 = -1/2x + 2
y = -1/2 x + 2 + 8
y = -1/2 x + 10.
What is the slope of the line below
Answer:
y=.5x+1.5
Step-by-step explanation:
The slope is .5
If the discriminant is negative, you will have....
1) two irrational solutions
2) no solution
3) two real solutions
4) one solution
Answer:
Hi mate I got you
Step-by-step explanation:
A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.
A negative discriminant indicates that neither of the solutions are real numbers.
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
please help im so confused
Answer:
X=35
Step-by-step explanation:
all angles on a straight line equal 180 degrees
there fore the equation for x will be,
180= 40+(2X+30)+40
180=40+ 2X +30+40
180 =2X+110
180-110=2X
70=2X
70/2=X
35=X
A farmer plants five apple trees in 25 minutes. If he continues to work at a constant rate, how long will it take him to plant 200 trees?
five apple trees in 25 mins.
to find:the duration he'll take to plant 200 trees.
solution:let the time taken to plant 1 tree be x.
5x=25
=>x=25/5-5 mins
time taken to plant 200 trees:
trees=200*5
=1000mins
=16.67 hours.
therefore, he'll take 16.67 hours to plant 200 trees.
trees=200*5
=1000 mins
=16.67 hours.
he will take 16.67hours to plant 200 trees.
17 The price of a game console that regularly
sells for $800 is
reduced to $616. By what
percentage is the price reduced?
A
23%
C
77%
B
30%
D
25%
Answer:
A
Step-by-step explanation:You can use a calculator also 1% of 800 is 8 .So multiply 20 by 8 which is 160 and 8 times 3 is 24 and 160 plus 24 is 184.
Answer: 223%
Step-by-step explanation:
Deduct 616 from 800 to get the amount reduced. 800-616=184
184/800=0.23
convert to a percentage by multiplying by 100
Which of the following would best be solved using completing the square?
A) 2x^3 - 12x^2 + 5x - 30 = 0
B)5x^2 + 7x = 12
C) x^2 = 81
D) x^2 + 4x - 21 = 0
You are analyzing the survey results tabulated below. The first survey question (yes/no) is whether the respondent is over 40, and the second survey question (low-cal, regular) is whether the respondent prefers your low-cal butter or the regular.
Answer:
Step-by-step explanation:
The area of the figure is
square units.? (HELP NOWWW) (PLS AND TY!!)
Answer:
I think it's 50....
Step-by-step explanation:
I added 21 for the base plus 9 for one side, 8 for the other side plus another 9 for the top and added 3
So 21 + 9 + 8 + 9 + 3 = 50
I hope it's right
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 12% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).
Answer:
572.1 gm will be left
Step-by-step explanation:
seven days of decay to find how much is still there on the 8th day
1400 ( 1 - .12)^7 =
Natalie just rented an apartment for $900 a month for the first year. She was told that the rent will increase by $50 each year. About how much will her rent be in the 7th year
Answer:
The correct answer is $75,900.
Step-by-step explanation:
find the rule
5. 11
6. 13
8. n
10. 21
Answer:
n = 17
Step-by-step explanation:
Method 1The difference between the 5th and 6th terms is 13 - 11 = 2
Therefore, the next term can be found by adding 2 each time.
If we continue with this sequence, we get:
5 = 11
6 = 13
7 = 13 + 2 = 15
8 = 15 + 2 = 17
9 = 17 + 2 = 19
10 = 19 + 2 = 21
So n = 17
-------------------------------------------------------------------------------------
Method 2Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven terms of the sequence:
[tex]a_5=11\\a_6=13\\a_8=n\\a_{10}=21[/tex]
The common difference can be found by subtracting one term from the next term:
[tex]d=13-11=2[/tex]
To find a, substitute the found value of d into the equation for one of the given terms:
[tex]\begin{aligned}a_5 =a+(5-1)2 & =11\\ a+8 & =11\\ a & = 3\end{aligned}[/tex]
Therefore, the formula to find the nth term is:
[tex]\implies a_n=3+(n-1)2[/tex]
[tex]\implies a_n=2n+1[/tex]
So, the 8th term is:
[tex]\implies a_8=2(8)+1=17[/tex]
Lets form a equation
(5,11)(6,13)Slope:-
m=13-11/6-5=2Equation:-
y-11=2(x-5)So
Put x=8
n-11=2(8-5)n-11=2(3)n-11=6n=17What is the answer
1^32
Answer:
1^32=1
Step-by-step explanation:
Ed buys a box of eggs costing £1.90, two packs of bacon for £3.10 each and two tins of baked
beans.
He pays with a £10 note and gets 50p change.
How much does a tin of beans cost in pounds
Answer:
tin of beans = .70 pound
Step-by-step explanation:
10 = 1.90 + 2 * 3.10 + .50 + 2b
b = .70
PLEASE CHOOSE CORRECT OPTION AND WITH EXPLANATION 25 POINTS
Answer:
B. (x, y) ⇒ (x, -y)
Step-by-step explanation:
When a point is reflected over the x-axis, it is moved along a vertical line to the same distance on the other side of the x-axis.
The x-coordinate of a point identifies its distance from the y-axis--the vertical line it is on. The y-coordinate identifies its distance from the x-axis. Changing the sign of the y-coordinate moves the point to the same distance on the other side of the x-axis--reflecting it over the x-axis.
__
The given points ABC and A'B'C' all match the pattern ...
(x, y) ⇒ (x, -y)
A(-1, 7) ⇒ A'(-1, -7)
B(6, 5) ⇒ B'(6, -5)
C(-2, 2) ⇒ C'(-2, -2)
so the image points represent a reflection over the x-axis of the original points.
Choose the factor pairs of 25.
1 and 25, 3 and 10, 5 and 6
1 and 25, 3 and 9
1 and 25, 2 and 11
1 and 25, 5 and 5
anyone also want to be friends?
Answer:
1 and 25, 5 and 5, and i'll be ur friend ^w^
Step-by-step explanation:
5 and 5 is the only mutiplication beside one to get to 25, and i can be ur friend ^w^
PLEASE HELP ME!!!!! GIVING (17 POINTS)
Answer:
61.) A, B, A
62.) 120 minutes
Step-by-step explanation:
61.) 48 is a multiple of 6. A multiple is a number which can be fully divided into another number (divded without remainder). Therefore, 48 is a multiple of 6 because 6 * 8 = 48 meaning that 48/6 would equal 8. Because there is no remainder, Carly can put the beads into 6 equal groups.
62.) This is a simple conversion problem. Since they are asking the amount of minutes, you need to convert 2 hours to minutes. You do not need to calculate it or set up a formula because there are 60 minutes in one hour, therore, in 2 hours there are 120 minutes (60 minutes + 60 minutes).
The average daily inchworm moves foot in 10 seconds. At this current rate, how long
will it take an earthworm to move 24 inches? Show your calculations. (Give your answer
in seconds)
ve won to anolleo I no slim as
os asb 'TOL
anonicolso to wore on Del 6
Answer:
20 seconds
Step-by-step explanation:
1ft in 10 seconds = 12 in / 10 sec
to get 24 inches, or 2 feet, we simply multiply that by 2:
(12 in /10 sec) * 2
24 in /20 sec
Answer:
20 seconds!
Step-by-step explanation:
A foot is equal to 12 inches meaning you take 12 and divide it by 24 to get 2 meaning its 2 feet. and if it took 10 seconds for one foot, then it will take 20 seconds for 2 feet
Are you getting enough sleep? Many kids aren’t getting enough sleep, and TV might be part of the problem. Among 2002 randomly selected 8- to 18-year-olds in the United States, 71% had a TV in their bedroom. What is the lower boundary of our confidence interval at the 99% level?
a. 6547
b. 6714
c. 6677
d. 6839
Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:
d. 68.39%.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The sample size and estimate are given by:
[tex]n = 2002, \pi = 0.71[/tex]
Hence, the lower bound is given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839[/tex]
Hence the lower bound is of 68.39%, which means that option D is correct.
More can be learned about the z-distribution at https://brainly.com/question/25890103
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Jack bought 5 pounds of halloween candy. he gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy . how many ounces of halloween candy does jack have left
Answer:
1 pound 6 ounces
Step-by-step explanation:
An object was launched from the ground. The graph below shows the path that the object took. Use the graph to answer questions 9-10.
What is the domain?
What is the range?
Answer:
See below ~
Step-by-step explanation:
Domain
Range of x values in the graphIt is from 0 to 4⇒ 0 ≤ x ≤ 4Range
Range of y values in the graphIt is from 0 to 64⇒ 0 ≤ y ≤ 64Answer:
range is 4 domain is 64 i think
Step-by-step explanation:
Select the place where the digit 6 sits in this number. 607,182
Answer:
Hundred Thousand
Step-by-step explanation:
Hundred Thousand
I hope it helped you
Answer:
Hundred thousand
Step-by-step explanation:
The digit 6 is in the hundred thousand place.
To understand place values, see the attached file.
[tex]\rule[225]{225}{2}[/tex]
which expression is equivalent to 35m2-63
An expression is formed of numbers, variables, and mathematical operations. The expression that is equivalent to 35m²-63 is 7(5m²-9).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the expression 35m²-63, which can be written as,
[tex]35m^2-63\\[/tex]
Taking 7 as common from both the terms,
[tex]= 7(5m^2-9)\\[/tex]
Hence, the expression that is equivalent to 35m²-63 is 7(5m²-9).
Learn more about Expression:
https://brainly.com/question/13947055
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A movie distributor found that the relationship between the amount it spends on advertisements for a particular movie and the amount of money the movie takes in can be modeled by the equation y = 1.2x + 24, where x is the amount spent on advertisements in millions of dollars and y is the amount taken in by the movie in millions of dollars. According to the model, how much should the movie distributor spend on advertisements if it wants the movie to take in $36,000,000?
A $10,000,000
B $20,000,000
C $30,000,000
D $50,000,000
Answer:
i believe the answer is B, im not 100% though
Step-by-step explanation:
From an electronic shop, 34 washing machines were sold on a particular day. The price of one washing machine was 8,400. Find the total amount collected by selling the washing machines on that day
Answer:
$201,600
Step-by-step explanation:
Multiply 34 and 84, which is 2016. Then add 2 zeros at the end because there are 2 zeros in 8400. So, the answer is 201,600 dollars.
Lisa makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend babysitting that weekend?
Answer:
11 Hours
Step-by-step explanation:
Let's say Lisa makes x hours babysitting and y hours giving music lessons.
Because she worked a total of 18 hours, we know that x + y = 18.
5 * x is how much money she earns babysitting for x hours, while 12 * y is how much money she earns giving music lessons for y hours. Adding them up gives her total revenue:
5x + 12y = 139
We now have a system of equations. Let's multiply both sides of x + y = 18 by 12:
12 * (x + y) = 18 * 12
12x + 12y = 216
Now, subtract 5x + 12y = 139 from 12x + 12y = 216:
12x + 12y = 216
- 5x + 12y = 139
_________________
7x + 0y = 77
Divide both sides by 7:
x = 11
Thus, Lisa spent 11 hours babysitting.
Answer:
11 hours baby sitting and 7 hours music lessons
Step-by-step explanation:
you have to solve:
x + y = 18
and
5x + 12y= 139
assuming that x is the total hours of baby sitting and y is the total hours of music lessons