Given that :
Area of a rectangle is : A = l×b
For smaller garden,
Length, l = [tex]\dfrac{1}{2}\ \text{foot}[/tex]
Width, [tex]b=\dfrac{2}{3}\ \text{foot}[/tex]
Area of a smaller garden is :
[tex]A=\dfrac{1}{2}\times \dfrac{2}{3}\\\\A=0.34\ \text{foot}^2[/tex]
For larger garden,
length, l' = 4 feet
Width, b' = 5 feet
Area of a larger garden is :
[tex]A'=l'\times b'\\\\A'=4\times 5\\\\A'=20\ \text{feet}^2[/tex]
So, the area of a smaller garden is 0.34 sq ft and that of a larger garden is 20 sq ft.
It takes Sally 15 min to pick the apples from the tree in her backyard. Lisa
can do it in 25 min. How long will it take them working together?
The answer for this problem is that the number is 31p
y=mx+b
solve for x
please it is due today if right ill give brain list
Answer:x=y-bm
Step-by-step explanation:
Answer:
x = y-b/m
Step-by-step explanation:
Step 1: y = mx + b
Step 2: Bring b to the left side of the equation
Step 3: y - b = mx
Step 4: To isolate for x, we must get rid of m. Therefore, divide m on both sides of the equation
Step 5: y-b/m = mx/m
Step 6: On the right side of the equation, m and m crosses out.
Step 7: All we have left is: y-b/m = x
(Or you can write it as x = y-b/m)
Hope this helps.
Stella has x in her checking account. She goes to the Dollar Store and spends $23.75. Now she has $9.30 left in the account. How much did Stella have in her account before she went to the store?
Answer:
$33.05
Step-by-step explanation:
Add 23.75 + 9.30
If DF=7x-3 and EG=5x+9, find the value of X
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
Using the given measurements of the angles and the lengths of the sides, we can determine that this figure must be a rectangle.
Diagonals of a rectangle are always equivalent/congruent.
We can use this information to set up an equation:
[tex]DF=EG\\7x-3=5x+9[/tex]
Add 3 to both sides:
[tex]7x-3+3=5x+9+3\\7x=5x+12[/tex]
Subtract 5x from both sides:
[tex]7x-5x=5x-5x+12\\2x=12[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{12}{2}\\x=6[/tex]
Answer:
6[tex] \: [/tex]
Step-by-step explanation:
A rectangle is a parallelogram with equal angles and the diagonals of a rectangle are of equal length.
[tex] \: [/tex]
Therefore,
[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {DF = EG}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \pmb {7x - 3 = 5x + 9}}}} \: \: \\ \\[/tex]
Subtracting 5x from both sides we get :
[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {7x - 5x - 3 = 5x - 5x + 9}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \pmb {2x - 3 = 9}}}} \: \: \\ \\[/tex]
Adding 3 to both sides we get :
[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {2x - 3 + 3 = 9 + 3}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \pmb {2x = 12}}}} \: \: \\ \\[/tex]
Dividing 2 from both sides we get :
[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb { \frac{2x}{2} = \frac{12}{2} }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \frak{ \pmb {x = 6}}}} \: \: \\ \\[/tex]
Therefore,
The value of x is 6Whats the domain and range?
HELPP! The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find the
width of the rectangle.Show each step and explain what was performed for each step.
Answer:
Length of the rectangle = 14.5 inches
Width of the rectangle = 37.5 inches
Step-by-step explanation:
Let the length of a rectangle = a inches
Since, width of the rectangle is 6 inches less than 3 times the length,
w = 3a - 6
Perimeter of the rectangle = 104 inches
Formula to calculate the perimeter of a rectangle = 2(length + width)
104 = 2[a + (3a - 6)]
2a + 2(3a - 6) = 104 → [Starting equation]
8a - 12 = 104 → [Distributive property]
8a - 12 + 12 = 104 + 12 → [Addition property of equality]
a = [tex]\frac{116}{8}=14.5[/tex] → [Division property of equality]
a). width of the rectangle = (3a - 6) = 37.5 inches
b). length of the rectangle = 14.5 inches
The width of the rectangle is 37.5 inches and the length of the rectangle is 14.5 inches.
The perimeter of a rectangle is represented as follows:
perimeter = 2l + 2w
where
w = width
l = length
Therefore,
perimeter = 104 inches
let
the length = a
Therefore,
width = 3a - 6
Therefore,
104 = 2a + 2(3a - 6)
104 = 2a + 6a - 12
116 = 8a
a = 116 / 8
a = 14.5 inches
width = 3(14.5 ) - 6 = 37.5 inches
Therefore, the width of the rectangle is 37.5 inches and the length of the rectangle is 14.5 inches.
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what is the median score on the exam ?
a) 70
b) 75
c) 77.5
d) 85
Answer:
b) 75
Step-by-step explanation:
The median (middle quartile) marks the mid-point of the data and is shown by the line that divides the box into two parts.
Therefore, from inspection of the box plot diagram, the median is 75
Additional information
Lower quartile (Q1) = 70
Median (Q2) = 75
Upper quartile (Q3) = 85
IQR = Q3 - Q1 = 85 - 70 = 15
Minimum value = 55
Maximum value = 100
Range = Max - Min = 100 - 55 = 45
A densidade demográfica ou densidade populacional de uma região é dada pela razão entre o número de habitantes e a área. No último senso do IBGE, o número de habitantes no estado de São Paulo foi de 45 milhões. A área do estado de São Paulo é de 248 210 km2. Dessa forma, a densidade demográfica de São Paulo é de, aproximadamente,
Responda:
181 pessoas / km²
Explicação passo a passo:
Dado que:
Densidade populacional = razão entre o número de habitantes e a área
Número de habitantes em São Paulo = 45 milhões
Área do estado de São Paulo = 248210 km²
Portanto, a densidade populacional de São Paulo:
Número de habitantes / área
45.000.000 pessoas / 2.48210 km²
181,29809 pessoas / km²
= 181 pessoas / km² (aproximadamente
Someone please help
Answer:
63%
Step-by-step explanation:
Volume=(l)(w)(h)
V= (12.9)(5.5)(4.7)
V= 333.465 cubic feet
The tank contains: 210 cubic feet of water
To find percentage: current amount / maximum capacity (this would be our volume) multiplied by 100% =
210/333.465 = .6297
.6297 x 100% = 62.97%
Round to a whole number:
63%
Someone pls help???????????????????????
Answer: the answer is:
(9,0)
(11,2)
(15,6)
(18,9)
Marco runs 22 miles in four hours. What is his unit rate?
Answer:
5.5 maybe..
Step-by-step explanation:
Belmont is a growing industrial town. Every year, the level of CO2 emissions from the town increases by 10%. If the town produced 330,000 metric tons of CO2 this year, how much will be produced 6 years in the future? If necessary, round your answer to the nearest whole number
Answer:
584,615
Step-by-step explanation:
its rounded by the whole number
Belmont will produce 584,615 metric tons of CO₂ after 6 years, growing at the rate of 10% every year, currently emitting 330,000 metric tons of CO₂.
What do we mean by growth?The value of most things is not constant in this world. If we observe correctly, the value of some of the things rises, while others fall. If there is a rise, we call it growth.
Growth can be determined by the formula,
V = V₀(1+r)ⁿ, where V is the final value, V₀ is the initial value, r is the rate and n is the time.
How do we solve the given question?In the question, we are given that Belmont is a growing industrial town. Every year, the level of CO2 emissions from the town increases by 10%.
We are asked that if the town produced 330,000 metric tons of CO2 this year, how much will be produced 6 years in the future.
As we see that the amount of CO₂ emission is growing, to find the amount of CO₂ emitted in the 6th year, we use the growth formula,
V = V₀(1+r)ⁿ, where V is the final value, V₀ is initial value, r is rate, and n is the time period.
Here, V₀ = 330,000 metric tons, r = 10%, n = 6 years.
∴ V = 330,000(1 + 10%)⁶
or, V = 330,000(1.1)⁶ = 330,000*1.771561 = 548615.13
or, V = 548615 metric tons (rounded to nearest whole number).
∴ Belmont will produce 584,615 metric tons of CO₂ after 6 years, growing at the rate of 10% every year, currently emitting 330,000 metric tons of CO₂.
Learn more about Growth at
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Ian earns x dollars a month. He received a 10% raise in his paycheck. Which expression represents Ian’s new monthly paycheck?
x + 0.10x
x + 1.10
x + 1.10x
I need this fast, please with the work
The expression is
[tex]\\ \rm\Rrightarrow x+(1+0.10)x[/tex]
[tex]\\ \rm\Rrightarrow x+1.10x[/tex]
can someone help me asap
Answer:
I think it's 31
Step-by-step explanation:
Answer:
x = 31°
Step-by-step explanation:
The two triangles seem to be identical.
All angles of a triangle must add up to 180° to make a triangle.
So, 53° + 96° = 149°
Subtract 149° from 180°
180° - 149° = 31°
So x = 31°
Hope I helped :)
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find 3 different ratios that are equivalent 7:3 explain why these ratios are equivalent
Answer:
7:3, 14:6, 28:12
multiples.. hope that helps.
give a step by step explanation of how to find the standard form of an ellipse with foci of (-6, 0) and (6, 0), and vertices of (0,8) and (0,-8)
best answer deemed by me gets brainliest
Answer:
Step-by-step explanation:
You need to construct the ellipse then you would be able to find the standard form
22
Annual salary: $24,400
Single
24 pay periods
Answer:
What's the question very confused on how to answer...
Step-by-step explanation:
Does this graph represent a function?
Answer: The answer is C. Yes, because it passes the vertical line test.
Hope this helps.
Answer:
C. Yes, becuase it passes the vertical line test.
Step-by-step explanation:
Using the vertical line test, you can clearly see the function has one input for exactly each output.
Translate this sentence into an equation,
42 is the difference of Julie’s age and 14. Use the variable j to represent Julie’s age
Answer:
x-14=42
Step-by-step explanation:
let x be Julies age x= the difference between julies unknown age and 14
Which temperature is colder? -10 degrees or -13 degrees
Answer:
-13
Step-by-step explanation:
The more negative the number, the colder it is
-13 is more negative than -10
-13 < -10
-13 is colder
Find the distance between Point A (9, -3) and Point B (16,
7), correct to 2 decimal places.
Answer:
8.06
Step-by-step explanation:
use distance formula
A researcher administers a treatment to a sample of participants selected from a population with µ = 80. If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis?
a. a sample mean near 80 with a=.05b. a sample mean much different than 80 with a=.05c. a sample mean much different than 80 with a=.01d. a sample mean near 80 with a=.01
Answer:
The answer is "Option c"
Step-by-step explanation:
In the given question, in choice c the numerice value is missing, that is "0.05".
The null hypothesis can only be rejected whether there is enough statistical data than that of the critical values.
The options A and B are not accurate, because the mean test of around 80 means that now the check-in and check number is lower, giving small statistics of the experiment and resulting in the null hypothesis is not rejected. In the C or D is true, however, the importance or alpha level need to be tested Alpha level 0.05 is 5% likely to reject an absolute zero hypothesis so, although 0.01 alpha level is 1% more likely to oppose an absolute zero hypothesis, Therefore, the alpha 0.05 rating is stronger.Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:
Year Lawn Care Fee
2000 $750
2010 $1350
A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
Answer:
y=mx+b
Step-by-step explanation:
2000x+750y=c
multiply by the reciprocle
awnser....
Answer:
m= 60. y= 60x + 750
Step-by-step explanation:
He increased his rate $60/yr shown over a 10 yr span.
what is the value of the digit 3 in 17039 in words?
Answer:
30
Step-by-step explanation:
Since the 3 is in the tenths column, it therefore equals 30.
Answer:
thirty
Step-by-step explanation:
the value of the 3 in 17039 is 30
HELPPP FOR BRAINLEST!!! RIGHT NOW PLEASE
Answer:
1st is correct
Step-by-step explanation:
Like charges repel each other.
HOPE THIS HELP YOU ,FOR ANY QUESTION PLEASE ASK ME
Playing cards numbered from 1 to 20 are mixed thoroughly and kept it in a box. One card is taken at random from the box. What is the probability of the selected/drawn playing cards?1. Is a Prime number.2. A factor of 20.3. A composite number.4. A multiple of 3.5. A perfect square.
Step-by-step explanation:
Probability is the ratio of the expected outcome (event) to the total outcome (sample space)
Probability = expected outcome/total outcome
If Playing cards numbered from 1 to 20 are mixed thoroughly and kept it in a box, the total number of sample space is 20
1) To calculate of getting a prima number.
Events = {2, 3, 5, 7,11,13,17,19}
n(events) = 8 elements
Pr(selecting a prime) = 8/20 = 2/5
2) If a factor of 20 is selected
Factor of 20 F = {2, 4, 5, 10, 20}
n(F) = 5
Pr(factor of 20) = 5/20 = 1/4
3) A composite number are 2 digits numbers.
Composite number C = {10,11,12,13,14,15,16,17,18,19,20}
n(C) = 11
Pr(a composite number) = 11/20
4) For multiple of 3.5
Multiple of 3.5 M = {3.5, 7.0, 10.5, 14.0, 17.5}
n(M) = 5
Pr(multiple of 3.5) = 5/20 = 1/4
5) For perfect squares
Perfect squares P = {1, 4, 9, 16}
n(P) = 4
Pr(perfect squares) = 4/20 = 1/5
Consider the figure. Determine the value of z.
Answer:
z=90
Step-by-step explanation:
Answer:
12x+11 = 47 (reason: vertical angles)
12x = 36
x = 3
12(3)+11 + w = 90 (reason: right angles)
36+ 11 + w = 90
47+w = 90
w = 43
43+z+47 = 180 (reason: linear pair)
90+z = 180
z = 90
PLEASE HURRY!! Find the slope-intercept equation for (-2, -2) and (2, 1)
Answer:
y=3/4 x- 1/2
Step-by-step explanation:
Write a system & solve: A farm has only chickens & cows. In total, there are 145 animals. However, there are only 324 animal legs. How many cows are there?
Answer:
x=17 y=128
Step-by-step explanation:
x-cows
y=chicken
x+y=145
4x+2y=324
x=145-y
4(145-y)+2y=324
580-4y+2y=324
580-2y=324
580-324=2y
256=2y
y=128
x=145-128
x=17
fractorise 6x - 10 pls
Answer:
[tex]6 x - 10 \\ \\ = 2(3x - 5)[/tex]
# Bora 7#
factorise 6x - 10
Answer:-2(3x - 5)
Explanation:-=> 6x - 10
Find a common factor,
=> 2(3x - 5)
This equation cannot be factored further.
So, 2(3x - 5) is the answer.