Answer:
8 cm and 10 cm
Step-by-step explanation:
Hello, I can help you with this.
Step 1
According to the question there are two rectangles A and B,
Rectangle A is a scale drawing of Rectangle B and has 25% of its area
in other words
[tex]Area_{A}=0.25*Area_{B} (Equation\ 1)\\[/tex]
Step 2
Let
Rectangle A
length (1)= 4 cm
length (2)= 5 cm
[tex]Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}[/tex]
put this value into equation 1
[tex]Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\ Area_{B}=80\ cm^{2}[/tex]
Now, we know the area of rectangle B, to know its length we need to formule other equation
Step 3
[tex]Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\[/tex]
the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then
[tex]\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)} \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)[/tex]
Step three
using Eq 1 and Eq 2 find the lengths
put the value of length(1B) into equation (2)
[tex]length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm[/tex]
Now, put the value of length(2B) into equation 3 to know length (1B)
[tex]length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm[/tex]
I really hope this helps you, have a great day.
Stephanie is comparing web sites for downloading music. One charges a $5 membership fee plus $0.50 per song. Another charges $1.00 per song but no membership fee. Write and solve an equation to find how many songs Stephanie would have to buy to spend the same amount on both web sites. Which of the following shows the correct number of songs?
Answer: She would need to listen to 6 songs. 5+0.50*2=1*6
Step-by-step explanation: The first website has a $5 mebership fee plus 0.50 cents per song which means 5 + 0.50 *2 equals $6. The other website is $1 per song no membership fee.
Question 9 (3 points)
Greg buys a home for $328,500. His home is predicted to increase in value 4% each year.
What is the predicted value of his home in 25 years?
A) $875,727
B) $1,065,456
C) $1.158.324
solve for K
k/2+1/2=3
Answer:k=5
Step-by-step explanation:
K/2+1/2=3
K/2=3-1/2
K/2=5/2
K=10/2
K=5
If (− 1 3 ) + 7 = 4, then what is the value for ( 1 3 ) + 6?
Answer:
I'm not sure this is an IQ question or not, but logically:
If (− 1 3 ) + 7 = 4, then (− 1 3 ) = 4 - 7 = -3
=> ( 1 3) = 3
=> (1 3) + 6 = 3 + 6 = 9
Hope this helps!
:)
Which describes Myra's distance as time increases?
The table shows the total distance that Myra runs over
different time periods.
Time and Distance Ran by Myra
increasing
decreasing
zero
constant
Time
(minutes)
0
2
4
6
8
Distance
(miles)
0.0
0.4
0.8
1.2
1.6
Answer:
(A)increasing
Step-by-step explanation:
Given the time and total distance ran by Myra in the table below.
[tex]\left|\begin{array}{c|c}Time(minutes)&Distance(miles)\\--&--\\0&0.0\\2&0.4\\4&0.8\\6&1.2\\8&1.6\end{array}\right|[/tex]
We observe that as time increases, Myra's distance also increases. It is the speed(0.2 miles per minute) which is constant.
Therefore Option A is the correct option.
Answer:
its a
Step-by-step explanation:
One of your friends eats lunch in the cafeteria sometime between 12:00 P.M. And 12:30 P.M. Another friend eats lunch in the cafeteria sometime between 12:15 P.M. And 12:45 P.M. Today you get to the cafeteria at 12:20 P.M. What is the probability that you have missed both friends in the cafeteria?.
Answer:
11.11% probability that you have missed both friends in the cafeteria
Step-by-step explanation:
We use the uniform probability distribution to solve this question, since each lunch duration is equally as likely.
Uniform distribution:
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]
Probability that you miss the first friend:
Somewhere between 12 and 12:30 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex]
You arrive at 12:20. So if his lunch is 20 or less minutes, you miss him.
[tex]P_{1} = P(X \leq 20) = \frac{20 - 0}{30 - 0} = 0.6667[/tex]
Probability that you miss the second friend:
Somewhere between 12:15 and 12:45 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex].
You arrive at 12:20. So if his lunch is 5 or less minutes, you miss him.
[tex]P_{2} = P(X \leq 20) = \frac{5 - 0}{30 - 0} = 0.1667[/tex]
Probability that you miss both friends:
Missing the first friend and the second friend are independent events. So we multiply these probabilities.
[tex]p = P_{1}*P_{2} = 0.6667*0.1667 = 0.1111[/tex]
11.11% probability that you have missed both friends in the cafeteria
x(a-b)=b(c-x)
make x the subject of the formular
pls help meee
Answer:
[tex]X(a - b) = b (c - x) : x = - -\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]
Step-by-step explanation:
[tex]X\left(a-b\right)=b\left(c-x\right)[/tex]
Switch sides:
[tex]b\left(c-x\right)=X\left(a-b\right)[/tex]
Divide both sides by; [tex]\:b\ne \:0[/tex]
[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]
Simplify:
[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]
Subtract [tex]c[/tex] from both sides:
[tex]c-x-c=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]
Simplify:
[tex]-x=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]
Divide both sides by [tex]-1;\quad \:b\ne \:0[/tex]:
[tex]\frac{-x}{-1}=\frac{\frac{X\left(a-b\right)}{b}}{-1}-\frac{c}{-1};\quad \:b\ne \:0[/tex]
Simplify:
[tex]x=-\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you. Have a good day! =)
What’s the BLM hashtag and why does it affect our society
Answer:
The BLM or Black lifes matter is a movements that started with the murther or death of a African american person some days ago
Step-by-step explanation:
Simplify the expression –3 2 . A. 9 B. 6 C. –6 D. –9
Answer:
see below
Step-by-step explanation:
(-3) ^2
(-3)*(-3)
A negative times a negative
9
If the problem is
- (3) ^2
- (3*3)
- 9
$2,000,000 is what percent of $10,000,000?
Answer:
20 percent
Step-by-step explanation:
Answer:Now I'm not that smart but it should be 20%
Step-by-step explanation:if you take the 10 and the the 2, since 10 is acting as the 100% the 2 will be the 20%
Hope that helped
write an expression,using an exponent,that is equivalent to 6×6×6×6×6
The answer is [tex]6^{5}[/tex].
Happy to help!
The Torrid Zone on Earth is the area between the Tropic of Cancer and the Tropic of Capricorn. The distance between these two tropics is about 3250 miles. You can estimate the distance as the height of a cylindrical belt around the Earth at the equator.
A) Estimate the surface area of the Torrid Zone. Round your answer to the nearest tenth of a million. (The radius of Earth is about 3960 miles.)
Answer:
The surface area of the Torrid zone is 179,418,254.4 miles^2
Step-by-step explanation:
In this question, we are to estimate the surface area of the Torrid zone
From the question, we can deduce that the Torrid zone is like a cylindrical belt with a height of 3250 miles while the radius of the earth is 3960 miles
Thus, to calculate the surface area of the Torrid zone, we use the formula for the surface area of a cylinder
Mathematically, this is
A = 2πr ( r + h)
In this case, r = 3960 miles and h = 3250 miles
Substituting these values into the equation, we have
A = 2 * 3.142 * 3960(3960 + 3250)
A = 6.284 * 3960(7210) miles^2
A = 179,418,254.4 miles^2
The sum of two numbers is 39. Their difference is 21. What are the two numbers?
Answer:
30 and 9
Step-by-step explanation:
x+y=39 , x-y=21
Solve for x:
x+y=39 , x-y=21
x= 30
Substitute x with 30:
(30)+y=39 , (30)-y=21
Solve for y:
y=9
Answer:
30 and 9
Eeexplination;
A building is 24 feet tall and 40 feet wide. If a scale model of this building is 10 inches wide, how tall is the model?
Answer:
The model is 6 inches tall.
Step-by-step explanation:
Write and solve an equation of ratios:
10 in. x
--------- = ----------
40 ft. 24 ft.
Cross-multiplication yields:
240 in = 40x, so x = 6 inches.
The model is 6 inches tall.
The scale model is 6 inches.
Important information:
A building is 24 feet tall and 40 feet wide. The scale model of this building is 10 inches wide.Scale model:Let the scale model is [tex]x[/tex] inches tall.
The height and width of the building and the scale model are proportional.
[tex]\dfrac{x}{10}=\dfrac{24}{40}[/tex]
[tex]x=\dfrac{24}{40}\times 10[/tex]
[tex]x=6[/tex]
Therefore, the scale model is 6 inches.
Find out more about 'Scale model' here:
https://brainly.com/question/1664216
The population p(in thousands) of colorado springs, colorado is given by p(t)=36e^kt where t represent the year, with t=0 corresponding to the year 2000. In 1980, the population was 215,000. Find the value of k
Correction
The function is [tex]p(t)=361e^{kt[/tex]
Answer:
k=0.0259
Step-by-step explanation:
The population function is given as: [tex]p(t)=361e^{kt}[/tex]
Where t=0 corresponds to the year 2000.
In 1980, 1980-2000=-20, p(-20)=215
Therefore:
[tex]215=361e^{k*-20}\\$Divide both sides by 361$\\\frac{215}{361}= e^{-20k}\\$Take the natural logarithm of both sides$\\ln(\frac{215}{361})=-20k\\k=ln(\frac{215}{361})\div (-20)\\k=0.0259[/tex]
Answer:
k ≈ 0.44
Step-by-step explanation:
Given the equation
p(t) = 36e^(kt)
In the year 2000, when t = 0, the population
p(0) = 36e^k............(1)
In 1980, when t = -20, the population was 215000
This implies that
215000 = 36e^(-20k)
e^(-20k) = 215000/36
e^(-20k) = 5972.222
Taking natural logarithm of both sides
ln(e^(-20k)) = ln(5972.222)
-20k = 8.695
k = -8.695/20 = 0.435
k ≈ 0.44
PLEASE HELP WILL MARK BRAINLIEST
8 > 7- yes
7 = 7- no
12 > 7- yes
2 < 7- no
What is the distance between (–13, 9) and (11, 2) on a coordinate grid?
Answer:
(13,6)
Step-by-step explanation:
Answer:
(13,6)
Step-by-step explanation:
Plzz help me with thsi quistion
Answer:
98 ft
Step-by-step explanation:
14x7
=98 ft
Answer:
98 ft
Step-by-step explanation:
A rectangular painting has a length of 8 inches and an unknown width, w. The area of the painting is less than 64 square inches. Which inequality represents the possible values of w? w less-than 8 w greater-than 8 w greater-than 56 w less-than 56
Answer:
i think is b
Step-by-step explanation:
Answer:
i think its B
Step-by-step explanation:
i dont know sorry:(
Lucy have $6400 if she invests
$1200 at 15% interest
compounded quarterly?
Answer:
11.4 years
Step-by-step explanation:
We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.
FV = P(1 +r/n)^(nt)
for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...
6400 = 1200(1 +0.15/4)^(4t)
16/3 = 1.0375^(4t) . . . . divide by 1200
log(16/3) = 4t·log(1.0375) . . . . take logarithms
t = log(16/3)/(4·log(1.0375)) ≈ 11.4
It will take about 11.4 years for Lucy's investment value to be $6400.
a fair coin is tossed five times. Calculate the probability of obtaining
at least one head.
Answer:
Step-by-step explanation:
dont know sorry
Answer:
1/5
Step-by-step explanation:
There are 5 heads so the provability of having one head is 1/5
Alice is building a fenced-in pen in her backyard for her dog, as shown. Write an expression that represents the total amount of fencing she will need, in feet. If the longer dimension of the rectangle is 27 feet, how many feet of fencing does Alice need? x plus 13 x Write an expression that represents the total amount of fencing, in feet. Choose the correct answer below. A. 4xplus26 Your answer is correct.B. 4xplus52 C. 2xplus26 D. 2xplus13 Alice needs nothing feet of fencing. Enter your answer in the answer box and then click
Answer: 4x + 52
Step-by-step explanation:
Dimension of pen:
The question seems incomplete or incoherent
However, to find the number of feet of fencing required, we calculate the perimeter of the rectangle, which is given by:
The perimeter of rectangle = [2 × ( length + width)]
If longer dimension = 26 feets and width = 2x
Perimeter = 2(2x + 26)
Perimeter = 4x + 52
Therefore, expression for fencing required = (4x + 52)
In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains 336 grams of copper. How many grams of zinc does it contain? HELP PLSSSS
ERRE
Which point-slope equation represents a line that passes through (3, -2) with a slope of ?
y-3=-(x + 2)
y-2 = (x-3)
y+2=-(x - 3)
y+3 = (x + 2)
Answer:
the answer is y+2=(x-3). It wasn't clear what the slope was supposed to be but if it is -1 then the third option is correct. Hope this helps :)
Answer:
aaku is right its the 3rd option why are you people rating his answer 2 stars it caused me to get the answer wrong
Step-by-step explanation:
PLZ PLZ HELP ASAP WILL GIVE BRAINLEIST
Answer:
Sure thing! Volume is length times width times height. It does not matter what order you put the numbers in, though
Step-by-step explanation:
1 is 0.6666666666666666666666666666 infinity
2 is 0.421875
4 is 0.3
5 is 1.3125.
please mark brainliest!!
Answer:
Step-by-step explanation:
1. 1/6 feet
2. 27/64 yards
4. 3/10 inches
5. 21/16 cm
hope this helped you!!
Meg saved coins she found for a year. She found a total of 95 pennies, 13 nickels, 41 dimes, and 11 quarters. She would like to evenly divide the coins into 4 piggy banks. How many coins will go in each piggy bank?
Answer:
40 coins in each piggy bank
Step-by-step explanation:
Add all the coins together.
95 pennies+ 13 nickels+ 41 dimes+ 11 quarters=160 coins
Divide the number of coins by 4.
160 coins divided by 4 piggy banks= 40 coins in each piggy bank
I hope this helps ;)
Let m = 6x + 5.
Which equation is equivalent to (6x + 5)2 – 10 = -18x – 15 in terms of m?
Answer:
m² + 3m - 10 = 0
Step-by-step explanation:
Given
(6x + 5)² - 10 = - 18x - 15 ← factor out - 3 from each term
(6x + 5)² - 10 = - 3(6x + 5)
Now let m = 6x + 5 in the equation, that is
m² - 10 = - 3m ( add 3m to both sides )
m² + 3m - 10 = 0
Answer:
m = 2
Step-by-step explanation:
(6x + 5)2 – 10 = -18x – 15
12x + 10 - 10 = -18x - 15
12x + 18x = -15
30x = -15
x = -15/30
x = -1/2
m = 6x + 5
m = 6(-1/2) + 5
m = -3 + 5
m = 2
Can you make 142? Numbers given: 2,9,1,7,2,7,5 Using any combination the numbers above and any operations, get the total to be 142. You need to give me at least 4 different ways. You also need to show me how you know your answer is correct. Only one answer can only use two steps, all the rest must have at least three steps. You have to attempt more than just one operation.
Answer:
1) 2 × 2 × 5 × 7 + 9 -7×1 = 142
2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142
3) 2 × 9² - 7 - 7 - 5 - 1 = 142
4) 2 × 7² + 9 + 7 × 5 × 1 = 142
Step-by-step explanation:
1) 2 × 2 × 5 × 7 + 9 -7×1 = 142
Multiply 2 by 2 by 5 by 7 add to 9 then subtract 7 multiplied by 1
2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142
Multiply 9 by 7 by 2 by 7 add to 5 multiplied by 2 then add to 7 and subtract 1
3) 2 × 9² - 7 - 7 - 5 - 1 = 2 × 9² - (7 + 7 + 5 + 1) = 142
Multiply 2 by 9 raised to the power of 2 then subtract the sum of 7, 7, 5 and 1
4) 2 × 7² + 9 + 7 × 5 × 1 = 142
Multiply 2 by 7 raised to the power of 2 then add 9 and add 7 multiplied by 5 multiplied by 1.
Katie wants to collect over 100100100 seashells. She already has 343434 seashells in her collection. Each day, she finds 121212 more seashells on the beach. Katie can use fractions of days to find seashells.
Write an inequality to determine the number of days, ddd, it will take Katie to collect over 100100100 seashells.
Graph the solution set to this inequality.
Answer:
34+12d>100
Step-by-step explanation:
there u go
write a function in the form y=mx+b for the line that contains the points (-8.3, -5.2) and (6.4,9.5)
Answer:
y = x + 3.1
Step-by-step explanation:
As we move from (-8.3, -5.2) to (6.4,9.5), the horizontal change ("run") is 14.7 and the vertical change is 14.7. Thus, the slope is m = rise / run = 14.7 / 14.7 = 1.
Write out y = mx + b. Because m = 1, we have
9.5 = 1(6.4) + b, or 9.5 = 6.4 + b, with the result that b = 3.1
and so the desired equation is y = x + 3.1