Answer:
The corresponding side length is 8 inches
Step-by-step explanation:
Similar Shapes
Two shapes are similar if all of their side lengths are in the same proportion. For example, triangle 1 has sides of 3-4-5 and another similar triangle has sides of 15-20-25. Note all their lengths are proportional with a scale factor of 5.
We are given the perimeter of figure A Pa=24 inches and the perimeter of figure B Pb=36 inches. The scale factor can be obtained as 36/24=3/2.
If one of the lengths of figure B is 12 inches, then the corresponding length for figure A is 12/(3/2) = 8 in.
The corresponding side length is 8 inches
Round each number to the nearest hundred and then estimate the answer.
then
349 + 1,978
2,300
2,400
2,500
2,200
Answer:
300 + 2,000 = 2,300
Step-by-step explanation:
349 = 300
1,978 = 2,000
because the 4 is less than 5 and any number greater than 5 is rounded up and any number less than 5 is rounded down
The sum of two numbers is 8. The difference between the two numbers is 2. What are the numbers? x + y = 8 x - y = 2 *Use the tables to list the possibilities
Answer:
x=5 y=3
Step-by-step explanation:
x+y=8 1
x-y=2 2
x+y=8
y=8-x
substitute into 2
x-(8-x)=2
x-8+x=2
2x=10
x=5
substitute x into 1
5+y=8
y=3
5+3=8
5-3=2
let x=6 and z=2 write the ratio in simplest form
12. 2x=y/3
13.4z-3/x
Answer:
12. 10/3, which simplifies to 3 1/3
13. 5/6
Step-by-step explanation:
Complete the statement. Round to the nearest hundredth if necessary.
14 m= ft
A committee must be formed with 5 teachers and 4 students. If there are 6 teachers to choose from, and 15 students, how many different ways could the committee be mad?
Answer:
8190 ways
Step-by-step explanation:
Given
[tex]Teachers = 6[/tex]
[tex]Students = 15[/tex]
Selection
[tex]Students = 4[/tex]
[tex]Teachers = 5[/tex]
Required
Number of ways of selection
4 students can be selected from 15 students in:
[tex]Students= ^{15}C_4[/tex]
Similarly.
5 teachers can be selected from 6 teachers in:
[tex]Teachers= ^{6}C_5[/tex]
So, the required number of selection is:
[tex]Selection = ^{15}C_4 * ^6C_5[/tex]
Apply combination formula:
[tex]Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}[/tex]
[tex]Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}[/tex]
[tex]Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}[/tex]
[tex]Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}[/tex]
[tex]Selection = \frac{32760}{24} * 6[/tex]
[tex]Selection = 1365 * 6[/tex]
[tex]Selection = 8190[/tex]
Lean ground beef costs $7.25 per pound. Which equation best represents y, the total cost of x pounds of lean ground beef?
a
x = 7.25 + y
b
y = 7.25 + x
c
x = 7.25y
d
y = 7.25x
The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.
Given that,
Lean ground beef costs $7.25 per pound.
The total cost of x pounds of lean ground beef.
We have to determine,
The equation which represent y.
According to the question,
Lean ground beef costs $7.25 per pound.
The total cost of x pounds of lean ground beef.
The equation for representation the total cost y of x pounds is written as.
Total cost of pounds = Lean ground beef costs $7.25 per pound × cost of x pounds of lean ground beef.
The equation for total cost of y of x pounds,
y = (7.25).(x)
y = 7.25x
Hence, The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.
For more information about Linear equation click the link given below.
https://brainly.com/question/22272773
The original price of last year's gaming system was $699. It is now selling at a 19% discounted price. What is the sale price?
Answer:
$566.19
Step-by-step explanation:
If there is a 19% discount, the product is selling at 100-19=81% of the original price. Multiply and you get- 699*(81/100)=566.19 :)
Mrs. Femandez starts out with $255 in her checking account. She deposits $35 on Monday. Tuesday afternoon she
writes a check for $75
Which expression could be used to find Mrs. Femandez's new account balance?
Answer:
255+35-75
Step-by-step explanation:
Since we are trying to find the account balance, we consider anything in or going to the account to be positive.
255 is positive since it is in the account
35 is positive since it is going into the account
75 is negative because it is going out of the account
so the final expression to express the amount is the checking account would be 255+35-75
Please help with these questions there due today.
A telephone company charges its customers per minute to make long-distance calls. The cost, c, can be represented by c = .12m where m is the number of minutes. Which type of number is most reasonable for the domain of the situation?
Answer:
m ≥ 0
Step-by-step explanation:
Since the cost is represented by c = 0.12m, the domain should be a positive number, this is because number of minutes can't be written in negative. Therefore, the most reasonable number for the domain would be the set of positive whole numbers which means, m≥0.
Who can answer this ??
Answer:
I believe the answer is B. nonlinear
Step-by-step explanation:
A Cake mix contains sugar and flour. The mass of the sugar is 14 2/7% of the mass of the flour. What is the percent of flour in the cake mix ?
:D
Answer:
700/8% or 87.5%
Step-by-step explanation:
Answer:
700/8% or 87.5%
Step-by-step explanation:
Ur welcome
how to do area for this problem
the answer is 568 in in degrees tysm
1) Alex bought some chips and pop for his class party. He bought a total of
32 items. Each bag of chips cost $0.75 and each bottle of pop cost $2.19.
He spent a total of $39.84. How many bags of chips and how many bottles
of pop did he buy?
Answer:
21 bags of chips and 11 bottles of pop
Step-by-step explanation:
(0.75 × 21)+(2.19 × 11) = $39.84
Answer:
18
Step-by-step explanation:
Divide the 39.84 to 2.19 because the question was find how much pop bought
Yea I don't know this app But I heard people leaked my phone number and calling and someone saying I'm a actor yes... Please stop it it's annoying and I'm only 13
Answer: Hmm I don't know that you're an actor and hey u can report them if they leaked your phone number
Step-by-step explanation:
Answer:
Yes. I heard, but I don't know know who are you. Don't worry I will keep an eye out.
Step-by-step explanation:
The ratio of kids to adults at a school festival is 11 : 7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?
Answer:
315
Step-by-step explanation:
So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.
Since you want to find the number of adults, just multiply.
7/18 x 810
You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying
7 x 45
=315
So, 315 is your answer
Answer: 315 Adults.
Step-by-step explanation:
Let the number of adults is x.
Then the number of kids is (810-x).
The ratio of kids to adults is
810 - x/x = 11/7
It is your basic equation, which you get from the condition.
To solve it, cross multiply; then simplify
7*(810-x) = 11x
7*810 - 7x = 11x
7*810 = 11x + 7x
7*810 = 18x
x = 7 x 810/18 = 315.
find the greatest common factor of the following:
c) 2xy⁵, 6x³y³
d) 6x²y², 9xy³, 3x⁴y⁴
f) 10ab, 20bc, 30ca
Answer:
c
[tex]2x {y}^{3} [/tex]
d
[tex]3x {y}^{2} [/tex]
f.10
Step-by-step explanation:
C. first you have to find the HCF of 2 and 6 then the HCF of
x and
[tex] {x}^{3} [/tex]
and
[tex] {y}^{5} and \: {y}^{3} [/tex]
Then:
[tex]2x {y}^{3} [/tex]
D.first you have to find the HCF of 6 ,9 and 3 then the HCF of
[tex] {x}^{2} \: \: x \: and \: {x}^{4} [/tex]
then the HCF of
[tex] {y}^{2} \: \: {y}^{3} and \: {y}^{4} [/tex]
then:
[tex]3x {y}^{2} [/tex]
F. I'm not sure but 10
if its helpful ❤❤❤❤
THANK YOU.
What is the initial value of the function represented by this graph?
Answer:
We conclude that the initial value of the function is 6.
Hence, option D is correct.
Step-by-step explanation:
The initial value of the function can be determined by setting x = 0 and determining the corresponding y value.
In other words, the initial value is basically the y-intercept of the graph.
It is the output value when the input value x = 0.
Given the graph, it is clear that:
at x = 0, y = 6
Thus, at x = 0, the value of y is 6.
i.e. the y-intercept b = 6.
Therefore, we conclude that the initial value of the function is 6.
Hence, option D is correct.
Answer:
6
Step-by-step explanation:
The initial value is the y-intercept or where the line crosses the y axis.
✨1 kai 1 poso kanei✨
Answer:
i'M bOuTA.. DOIVE
Explanation:
Solve for X
[tex]lnx^{2} =-2[/tex]
please show steps
I have the answer,
I just want to know how to do this :)
Answer:
[tex]x = \pm e^{-1}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving quadraticsMultiple rootsAlgebra II
LogarithmsEuler's number eStep-by-step explanation:
Step 1: Define
[tex]\displaystyle ln(x^2) = -2[/tex]
Step 2: Solve for x
Raise both sides by e: [tex]e^{\displaystyle ln(x^2)} = e^{-2}[/tex]Simplify equation: [tex]x^2 = e^{-2}[/tex]Square root both sides: [tex]x = \pm e^{-1}[/tex]Answer:
Step-by-step explanation:
lnx^n=nlnx
[tex]\ln x^2=-2\\2\ln x=-2\\\\\ln x=-1\\\\x>0\\x=e^{-1}\\or~x=\frac{1}{e}[/tex]
Carlos drove to the train station and back. The trip there took five hours and the trip back took four hours. What was Carlos' average speed on the trip there if he averaged 68 mph on the return trip?
Answer: 54.4 mph
Step-by-step explanation:
First find the distance to the train station. If it took Carlos 4 hours to come back driving at 68 mph, the distance is:
= Speed * time
= 68 * 4
= 272 miles
This means that Carlos drove for 5 hours to cover 272 miles the first time. His average speed was therefore:
= Distance / time
= 272/5
= 54.4 mph
I need help ... please help
Answer:
the answer would be 35
Step-by-step explanation:
when u go up, you go up by 35 and run 1. therefore the answer is 35
Help meeeeee! plsssssssssssssssssssssssssssss
Step-by-step explanation:
Store a must offer 30%
write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)
Answer:
y = -2/3x + 4/3
Step-by-step explanation:
If two lines are perpendicular, the product of their slopes is -1
comparing what we have with the general form;
y = mx + b
The slope of the given equation is 3/2
To get the slope of other;
3/2 * m = -1
3m = -2
m = -2/3
So we want to write the point-slope equation
y-y1 = m(x-x1)
y-2 = -2/3(x + 1)
3y - 6 = -2x -2
3y = -2x -2 + 6
3y = -2x + 4
y = -2/3x + 4/3
All flour from five bags with 3/8
lbs of flour in each was divided
into equal parts to make 7 loaves of bread. How can you
calculate the amount of flour used for each loaf? Select all that
apply.
(A) 3/8·7/5 (B) 3/8·5/7(C) 3/8÷7· 5(D) 3/8· 7÷5 (E) 3/8÷5· 7 (F) 3/8· 5÷7
Answer:
B, C and F
Step-by-step explanation:
What is the y-intercept of the equation y=3/2x+6?
Answer:
(0, 6)
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 3/2x + 6
Step 2: Break Function
Identify Parts
Slope m = 3/2
y-intercept b = 6
Please help me on this and thank you!
Answer:
D
Step-by-step explanation:
We open it up, so 2/3x + -3 + -2 -1/3x, -3 + (-2) = -5.
2/3x - 1/3x - 5, 2/3x - 1/3x = 1/3x
Our final answer is 1/3x - 5
pls help I don't get this
Answer:
yeah same
Step-by-step explanation:
Answer:
The first and fourth answer.
Step-by-step explanation:
There are eight fluid ounces in one cup. One cup has eight fluid ounces.
4/-2 flipped over the x axis
Answer:
I suppose that here we have:
"(4, - 2) flipped over the x-axis"
Regardless of that, i will answer this in a kind of general way.
When we have a point (x, y) and we do a reflection over the x-axis (or the line y = 0, is the same) the reflected point will be (x, - y)
If we instead had a reflection over the y-axis (or the line x = 0) the reflected point will be (-x, y)
Then if we have the point (4, -2) and we have a reflection over the x-axis, the sign of the y-component needs to change.
Then the reflected point will be (4, -(-2)) = (4, 2)
In a group of 20 students, 8 have brown eyes. What percent of the students have brown eyes?
Answer:
40%
Step-by-step explanation: