Answers
Answer:
The answer for the x would be 20.25 ft.
Step-by-step explanation:
Check the underlined writing for the 2nd easier and more efficient method
The area is 9 ft.^2, and area means length*width=area. So, if you were to multiply 4.5*2 that would equal 9, which is the area of the smaller rectangle.
Now use scale factor. If the length of the smaller rectangle is 2, you need to see how many times 2 can fit into 9. 9/2 equals 4.5, then you would multiply 4.5 by 4.5 to get 20.5 to get the width of the rectangle.
If you want to check, put 2/4.5 and 9/20.25 and you both get 0.444....= 4/9
Which means that they both have the same scale
Okay, there is a much easier method I didn't realize, the butterfly method. After you find the length and width of the smaller rectange, you can cross multiply.
2/4.5 = 9/x. (keep the numbers in line, for example both of the lengths stay in the numerator) So 9*4.5 equals 40.5, and 2*x equals 2x. Use basic algebra (divide everything by 2) and you get x=20.25 as well. This solution is much more reliable.
Hope this helps!
Related Questions
If the nth term of an ap is n-12 find the sum of its first 25 terms
Answers
The nth term Tn = n - 12 illustrates an arithmetic progression
The sum of the first 25 terms is 25
How to determine the sum of the terms?The nth term is given as:
Tn = n - 12
Calculate the first term
a = 1 - 12
a = -11
Calculate the second term
T2 = 2 - 12
T2 = -10
Calculate the common difference (d)
d = T2 - a
d = -10 + 11
d = 1
The sum of n terms is then calculated as:
Sn = n/2(2a + (n - 1) * d)
So, we have:
S25 = 25/2(-2 * 11 + (25 - 1) * 1)
Evaluate
S25 = 25
Hence, the sum of the first 25 terms is 25
Read more about arithmetic progression at:
https://brainly.com/question/6561461
The sum of two numbers is 24. Two times the first number minus the second number is 21
Answers
Step-by-step explanation:
x + y = 24
2x - y=21
I'm guessing the question was find both numbers.
3x = 35
x=15
3y = 27
y=9
help help help help HELP
Answers
car is travelling faster
22 - 18 = 4 meter per second
hope it helps...!!!
Convert [tex]\frac{7\pi }{4}[/tex] to degrees.
Answers
To explain
7pi 180°
—— * ——-
4 pi
The pi cancels out because they are across from eachother
Which leaves
7/4 and 180
We divide 180 by 4=45°
And now 45° multiplied by 7 is equal to 315°
The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10 inches) and the standard deviation is 3 inches.
Use the table to estimate the probability that a randomly -selected male is between 67 and 45 inches tall. Express your answer as a decimal.
Answers
Using the normal distribution, it is found that the probability is 0.16.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively, [tex]\mu = 70, \sigma = 3[/tex].
The proportion of students between 45 and 67 inches is the p-value of Z when X = 67 subtracted by the p-value of Z when X = 45, hence:
X = 67:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{67 - 70}{3}[/tex]
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 70}{3}[/tex]
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Consider a rectangle with a side length of (2y + 6) and a perimeter of (10y + 4). What is the length of its base?
Select one:
A. 6y - 8
B. 3y - 4
C. 6y - 4
D. 8y - 2
Answers
Answer:
D Because other options do not have integration constants
Answer:
The answer is b) 3y-4
Step-by-step explanation:
HELP ASAP
10. A store is selling its display furniture at a discount of 35%. How much would be paid for
a chair regularly selling for $195.95 if sales tax is 8%?
Answers
complete the proof, word bank at bottom
Answers
Answer:
Step-by-step explanation:
2) definition of angle bisector
4) division property of equality
5) division property of equality
6) substitution property
7) SAS similarity
Analyze the diagram below and answer the question that follows.
In the triangle above, what is the measure of ∠A?
A. m∠A = 30°
B. m∠A = 45°
C. m∠A = 60°
D. cannot be determined
Answers
Answer:
B
Step-by-step explanation:
sames sides same angle
180=90+2x
180-90=2x
90=2x
x=45
A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 meters, how tall will the mountain be in 4 millennia?
if necessary, round your answer to the nearest whole number.
Answers
Answer: 1,393 meters tall
Step-by-step explanation:
Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.
y
= a(1–r)t
y
= 1,710(1–0.05)4 Plug in values
y
= 1,710(0.95)4 Subtract
y
= 1,710(0.81450…) Simplify
y
= 1,392.80568… Multiply
Round to the nearest whole number.
1,392.80568… → 1,393
To the nearest whole number, the mountain will be 1,393 meters tall.
A county fair charges $9.00 for admission and $2.50 per ride. If Latisha spent $49 on admission and rides, how many rides did Latisha ride?
Answers
Answer:
Latisha rode 16 rides
Step-by-step explanation:
Look at picture attached. Have a blessed night!
Just slope intercept formula (y=mx+b). X represents the number of rides so you will need to myltiply that by $2.50. $9 is a one time fee so that would be of the b of the equation. That all equals the total Latisha piaid, $49. Then solve like so.
simply 2x + x + x + 2y x 3y x y
Answers
Answer:
[tex]4x + 6y^{3} x^{2}[/tex]
Step-by-step explanation:
Simplify
Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?
6 units
12 units
14 units
4 units
Answers
Answer: 12 units
Step-by-step explanation:
If you graph them on a graph you count the units between them and that is your anwser.
Answer:
12 units
Step-by-step explanation:
calculate DG using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2[/tex]
with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )
DG = [tex]\sqrt{(-4-8)^2+(3-3))^2}[/tex]
= [tex]\sqrt{(-12)^2+0^2}[/tex]
= [tex]\sqrt{144+0}[/tex]
= [tex]\sqrt{144}[/tex]
= 12
Kim bought $100 worth of stock and gained $25 per year. Ari bought $400 worth of stock and lost $35 per year. Use x for time and y for stock value. Graph the equations that represent each situation. The first one is done for you. When did Kim and Ari have the same amount of stock value? After _____ years.
(I WILL MARK YOU AS BRAINLIEST! PLEASE PLEASE HELP! THANK YOU <3)
Answers
Answer:
5 years
Step-by-step explanation:
by year five they both had the same amount
400-35=365
do that 5 times
225
100+25=125
do that 5 times
225
Factor completely 2x2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5).
Answers
The factor the given polynomial are 2,(x+4),(x-5).
We have given that the equation,
[tex]2x^2 -2x -40[/tex]
What is the meaning factor?Factoring a polynomial is expressing the polynomial as a product of two or more factors.
We can factor out a 2.
[tex]2(x^2 - x - 20)[/tex]
Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].
[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]
[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]
Therefore, the factor the given polynomial are 2,(x+4),(x-5).
To learn more about the factor visit:
https://brainly.com/question/25829061
-x - 3y = 6, 2x + 3 = -8 equivalent equation and solution
Answers
Answer:
x = -11/2 , y = -1/6
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}-x-3y=6\\ 2x+3=-8\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=-\frac{11}{2}[/tex]
[tex]\begin{bmatrix}-\left(-\frac{11}{2}\right)-3y=6\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}\frac{11}{2}-3y=6\end{bmatrix}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-\frac{11}{2},\:y=-\frac{1}{6}[/tex]
Hence, x = -11/2 , y = 1/6
~Learn with Lenvy~
find the hcf of 6 and 8 by prime factorization method
pls help?
Answers
Answer:
2
Step-by-step explanation:
Factorization of the following.
6=3×2×1
8=2×2×8×1
Since, The common factor is 2.This implies that
H.C.F=2
The steps below show the incomplete solution to find the value of x for the equation 8x − 3x − 1 = −2 + 16:
Step 1: 8x − 3x − 1 = −2 + 16
Step 2: 8x − 3x − 1 = 14
Step 3: 5x − 1 = 14
Which of these is most likely the next step?
5x = 14
5x = 10
5x = 13
5x = 15
Answers
Answer:
5x=15. I hope it can help you a lots. thanks.
Step-by-step explanation:
5x=14+1
5×=14.
Variables A basic cheese pizza is $6.50 and each additional topping cost $1.50 write the right and paragraphs equation and two variables that represent a total of cost of a single pizza
Answers
Answer:
i don't really know but I love pizza
The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot n =
Answers
The distance between the two points pictured will be [tex]\sqrt{61}[/tex].
What is the distance between the two points?The length of the line segment connecting two places is the distance between them.
The distance between two places is always positive, and equal-length segments are referred to as congruent segments.
The given coordinate in the problem is;
(x₁,y₁)= (-3,-2)
(x₂,y₂)=(2,4)
The distance between the two points is found as;
[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]
Hence the distance between the two points pictured will be [tex]\sqrt{61}[/tex].
To learn more about the distance between the two points refer to;
https://brainly.com/question/16410393
Answer:
n=61
Step-by-step explanation:
What is the pattern: April 3, March 31, March 28, March 25?
A) 30 days earlier
B) 1 week earlier
C) 3 days earlier
D) 3 days later
Answers
can anyone help me with this question, i dont really understand how to do pls help me
Answers
there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7
If $1209 is deposited in an account that pays 8. 2% interest compounded monthly, what is the balance after 26 years? Use: A=P(1+r)t
Round to the nearest cent
Answers
Answer:
Step-by-step explanation:
We can use the interest equation (mind you it is the same thing as said in the problem) to solve this:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the resulting amount, r is the interest rate, n is the number of times compounded per year and t is the time.
[tex]A=1209(1+\frac{.082}{12} )^{12*26}[/tex]
A = $10,120.29
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! A local grocery store released the following statistics on the average volume of products sold per month in its two branches over the past six months.
Answers
Answer:
a. House hold laundry
b. Beverages
c. Snacks
Step-by-step explanation:
Do mark brainliest.
#a
For branch A
Household laundryFor branch B
Snacks#b
For branch A
snacksFor branch B
Canned goods#c
Branch A
20+25+15+28+20108Branch B
20+18+30+23+20111Branch B performed better
Choose 3 values that would make this inequality true. 8n + 4 ≤ 28
Choices:3,6,13,2,5,14,1
Answers
Answer:
1,2,3
Step-by-step explanation:
1*8=8+4+12<28
2*8=16+4=20<28
3*8=24+4=28=28
A bag contains 20 marbles: 5 blue, 8 green and 7 orange.Find the
probability of drawing a blue marble.
Answers
Answer: 25%
Step-by-step explanation: the probability of drawing blue=5/20
divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)
My Math Problem.
Please Answer This one
Answers
Step-by-step explanation:
class 6 to 8 students come here I will give you notes class is started come here fast I am waiting come with your name and class i am also girl come please please please please please please
Answer:
148°or 4x
Step-by-step explanation:
For a four sided Polygon (quatrilateral) the measure of four angles=360
Therefore,
2x+3x+4x +(x -10)=360
9x+x-10=360
10x-10=360
10x=360+10
10x=370
x=37
Therefore all angles are
74, 111, 148, 27
Therefore, largest angle = 148°
MARK ME AS BRAINLISTY=5x+6; x=-2 find the value of y for the given value of x
Answers
Answer:
-4
Step-by-step explanation:
5 * -2 = -10 + 6 = -4
Help due in an hour and I am confused
Answers
Answer:
48 degree
Step-by-step explanation:
Angle EFD=Angle EGD=42 degree
Angle EFG=90 degree
Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree
Answer:
m∠DFG = 48°
Step-by-step explanation:
Angles in a semicircle Theorem
The angle at the circumference in a semicircle is 90°
Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°
As the sum of the interior angles of a triangle is 180°
m∠EDG + m∠EGD + m∠DEG = 180°
⇒ 90° + 42° + m∠DEG = 180°
⇒ m∠DEG = 48°
As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°
Select all the expressions that are equivalent to 40% of 90.
Answers
Answer:
36
Step-by-step explanation: