Answer:
The dimensions of the vegetable patch is 8 m by 7 m.
Step-by-step explanation:
Area of a vegetable patch is 56 square meters and the perimeter is 30 m.
If l is length and b is breadth, then area and perimeter of a rectangle is given by :
[tex]A=l\times b[/tex]
[tex]P=2(l+b)[/tex]
Substituting the values in the above formulas as :
[tex]l\times b=56\ ....(1)[/tex]
and
[tex]2(l+b)=30\\\\l+b=15\ .....(2)[/tex]
We need to solve equation (1) and (2) to find the values of l and b such that :
Equation (2), l = 15 - b
Equation (1) becomes,
[tex](15-b)b=56\\\\b=7\ m, 8\ m[/tex]
If b = 7 m, so, l = 8 m
If b = 8 m, l = 7 m
So, the dimensions of the vegetable patch is 8 m by 7 m.
Write an expression using numbers and variables for each expression below.
Example: 10 less than the product of 15 and c 150 - 10
A number d is decreased by 5 and then doubled.
Answer:
a number x is multiplied by 4 then increased by 2
Step-by-step explanation:
4x+2
What’s the correct answer for this?
Answer:
a) the co-ordinates of the center are (-3,4) and the length of the radius is 10 units
Center (h,k) = (-3 ,4) and radius 'r' = 10
Step-by-step explanation:
Step(i):-
Given circle equation is
[tex]2 x^{2} +12 x+2 y^{2} -16 y-150 =0[/tex]
Dividing "2' on both sides, we get
[tex]x^{2} +6 x+ y^{2} -8 y-75 =0[/tex]
Step(ii):-
now
[tex]x^{2} +2(3x) + (3)^{2}-(3)^{2} +y^{2} -2 (4 y)+(4)^{2}-(4)^2 -75 =0[/tex]
by using (a+b)² =a²+2 a b+b²
(a-b)² =a²-2 a b+b²
[tex](x+3)^{2}-(3)^{2} +(y-4)^{2}-(4)^2 -75 =0[/tex]
[tex](x+3)^{2}-9 +(y-4)^{2}-16 -75 =0[/tex]
[tex](x+3)^{2} +(y-4)^{2}-100 =0[/tex]
[tex](x+3)^{2} +(y-4)^{2}=100[/tex]
[tex](x+3)^{2} +(y-4)^{2}=(10^2)[/tex]
by comparing
[tex](x-h)^{2} +(y-k)^{2}=(r^2)[/tex]
Final answer:-
Center (h,k) = (-3 ,4) and radius 'r' = 10
a marble is drawn at random from a bag which contains nine yellow marbles and six white marbles . Find the probability of white marble?
Answer:
2/5
Step-by-step explanation:
Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) affected the heart rate of overweight and non-overweight adolescents differently. A group of 22 adolescents, 10 classified as overweight and 12 as not overweight played DDR for 12 minutes, during which time the researchers measured each participant's heart rate. Which statistical test should the researchers use to analyze their data?A) independent-samples t testB) dependent-samples t testC) z testD) single-sample t test
Answer:
dependent-samples t test
Step-by-step explanation:
Here we want to test the effect of game Dance Dance Revolution (DDR) on heart rate.
The hypothesis is
[tex]H_0:\mu_d=0 vs H_a:\mu_d\neq 0[/tex]
where,
[tex]\mu_d=\frac{\sum di}{n} di = Xi-Yi[/tex]
Where Xi = heart rate before playing the game Dance Dance Revolution (DDR)
Yi = heart rate after playing the game Dance Dance Revolution (DDR)
This test is paired t-test( dependent sample t test).
To measure the effect of experiment. (before - after condition)
it took 4 hours to clean 10 houses, how many houses could be cleaned in 8 hours?
Answer:
3 1/2 houses
Step-by-step explanation:
To find the unit rate we must divide 4 by 10
4 hours divided by 10 house = 1/4
1/4 houses per hour
8 hours times 0.4= 3.2 houses
Answer:
20 houses
Step-by-step explanation:
Let’s make a proportion using this setup:
houses/hours=houses/hour
We know that 10 houses can be cleaned in 4 hours. We don’t know how many houses can be cleaned in 8 hours, so we can say x houses can be cleaned in 8 hours.
10 houses/4 hours= x houses/8 hours
10/4=x/8
Now we have to solve for x, by getting x by itself. Perform the opposite of what is being done to both sides.
x is being divided by 8. The opposite of division is multiplication, so multiply both sides by 8
8(10/4)=(x/8)8
8(10/4)=x
8(2.5)=x
20=x
20 houses can be cleaned in 8 hours.
For Zoey's lemonade recipe, 7 lemons are required to make 14 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade
Answer:
1 lemon = 2 cups of lemonade
Step-by-step explanation:
Which inequality has -25 in its solution set?
A. y + 11 > -9
B. y - 17 Less-than-or-equal-to -46
C. 30 Less-than-or-equal-to y + 5
D. y + 20 > -30
Answer: The answer is D: y + 20 > -30
Step-by-step explanation:
I got this right on edgen.
Have a good day!! #BLM <3
Susan paid $240 to have her house decorated. The materials used to decorate the house coast $115, and service was charged at $5 an hour. How many hours was the house worked on?
Answer:
[tex] 240 =5x +115[/tex]
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
[tex] 240-115= 5x[/tex]
[tex] 125 = 5x[/tex]
And now we can divide both sides by 5 and we got:
[tex] x= 25[/tex]
So then the number of hours spent to decorate the house are 25
Step-by-step explanation:
Based on the information given we can model this function with this formula:
[tex] y = mx+b[/tex]
Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:
[tex] 240 =5x +115[/tex]
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
[tex] 240-115= 5x[/tex]
[tex] 125 = 5x[/tex]
And now we can divide both sides by 5 and we got:
[tex] x= 25[/tex]
So then the number of hours spent to decorate the house are 25
A quadrilateral has 4right angles and 2 pair of opposite sizes that are parallel. What quadrilateral could be
Answer:
parllelogram
Step-by-step explanation:
............
Looking at Morningstar’s Financial Health ratios, what has happened to HP’s liquidity position over the past 10 years?
Liquidity/Financial Health
2010-10
2011-10
2012-10
2013-10
2014-10
2015-10
2016-10
2017-10
2018-10
2019-10
Latest Qtr
Current Ratio
1.10
1.01
1.09
1.11
1.15
1.23
0.98
1.00
0.85
0.80
0.73
Quick Ratio
0.78
0.58
0.79
0.80
0.83
0.92
0.69
0.68
0.55
0.53
0.48
Financial Leverage
3.07
3.35
4.85
3.88
3.86
3.85
—
—
—
—
—
Debt/Equity
0.38
0.58
0.97
0.60
0.60
0.78
—
—
—
—
—
Answer:
Step-by-step explanation:
Huh lol ok
help fast timed plss!!
Answer:
Top to Bottom:
2nd Parallelogram
2nd Trapezoid
Triangle
1st Parallelogram
1st Trapezoid
Step-by-step explanation:
1. Trapezoid: 40
2. Triangle: 30
3. Parallelogram: 32
4. Trapezoid: 28
5. Parallelogram: 24
P.S. Sorry I took to Long
Based on the two articles you have read, how might Google's mission to give
everyone access to as much information as possible make it easier to violate
a person's Fourth Amendment rights?
A. A person's personal information would be almost impossible to
find
B. People would be able to find information faster
C. The government might have access to a person's private
information making it easier to conduct warrantless searches and
seizures
O D. Business would be able to place ads relevant to what person typed
in a search engine,
The article shows that it may make it easier for the government to have access to a person's private information and to conduct unwarranted searches and seizures.
What are a person's Fourth Amendment rights?A person's Fourth Amendment rights is related to the right of an individual to be protected from unwarranted searches and seizures by the government.
According to the articles, Goo_gle's mission is to give
everyone access to as much information as possible.
This however would make it easier for a person's personal belongings or private information to be a target of government officials.
Therefore, Goo_gle's mission may make it easier for the government to have access to a person's private information making it easier to conduct unwarranted searches and seizures.
Learn more about Fourth Amendment rights at: https://brainly.com/question/17104412
In a right triangle, the measure of theta = 43 degrees and the side opposite to the measure of theta is 6.5 cm long. The length of the side adjacent to the measure of theta is approximately
We have been given that in a right triangle, the measure of [tex]\theta = 43^{\circ}[/tex] and the side opposite to the measure of theta is 6.5 cm long. We are asked to find the length of adjacent side to the angle theta.
We know that tangent relates opposite side of right triangle adjacent side.
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{tan}(43^{\circ})=\frac{6.5}{\text{Adjacent}}[/tex]
[tex]\text{Adjacent}=\frac{6.5}{\text{tan}(43^{\circ})}[/tex]
[tex]\text{Adjacent}=\frac{6.5}{0.932515086138}[/tex]
[tex]\text{Adjacent}=6.9703966[/tex]
[tex]\text{Adjacent}\approx 6.97[/tex]
Therefore, the length of adjacent side to angle theta is approximately 6.97 units.
Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below. In January she used 3/5 of the amount of oil that she used in February Fill in the amount of oil that Jackie used in January in the table below
Answer: 2/5
Step-by-step explanation:
The graph for the equation y = negative x + 2
On a coordinate plane, a line with positive slope goes through (0, 2) and (2, 0).
If another equation is graphed so that the system has an infinite number of solutions, which equation could that be?
A) y = negative 2 (x minus 1)
B) y = negative (x + 2)
C) y = negative one-fourth (4 x minus 8)
D) y = negative one-half (x + 4)
Answer:
It Is The 3rd Choice, Y = -1/4( 4x - 8)
Step-by-step explanation:
This Is Becuase -1/4 times 4x is -1x which is negative x. Then -1/4 times -8 is 2.
Do not listen to the answer below it is wrong.
Answer:
C
Step-by-step explanation:
I got it right on edge
How much is 3 times 4
Answer:
3×4 = 12!
TWO WAYS TO LOOK AT IT:
(A) 3 groups of 4!
(B) 4 groups of 3 apples!
In triangle ABC angle a equals 72° side C equals 61 and angle B equals 16° find side a to the nearest 10th
Answer:
58.0 units
Step-by-step explanation:
In order to use the law of sines, we need to know angle C. It will be the angle that brings the total of all angles to 180°.
C = 180° -A -B = 180° -72° -16°
C = 92°
The law of sines tells us ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 61·sin(72°)/sin(92°)
a ≈ 58.0 . . . . units
Excuse me can you help me to resolve this (×+5) (4x-3)=0
Answer: x = 3/4 x = -5
Step-by-step explanation:
x+5=0
x=-5
4x-3=0
Add three to both sides
4x = 3
x=3/4
PLEASE HELP?
Which of the following inequalities is true according to the number line?
Answer:
a
Step-by-step explanation:
The fraction, in hundredths,that is equivalent to 9/10
Answer:
9/10 is equivilent to 0.900
Step-by-step explanation:
Can someone help me with is
Answer:
It is not equivalent
Step-by-step explanation:
Because the first expression simplified is 3x with the power of 9, and the first expression simplifies to x with a power of 9.
Answer:
No, they are not equivalent.
Step-by-step explanation:
In the case of the first expression: x³ * x³ * x³, you will solve the power first, before multiplying the whole numbers.
However, in terms of the second one, you are multiplying the powers first, and then solving for the power.
Take for example, x = 2. Plug in 2 for x in the expressions given:
x³ * x³ * x³ = 2³ * 2³ * 2³ = 8 * 8 * 8 = 64 * 6 = 512
However,
2^(3 * 3 * 3) = 2^(27) = 134,217,728
~
ill used 5⁄6 cup of flour and 1⁄3 cup of sugar. How much more flour than sugar did Jill use in her recipe?
Answer:
5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2 more cups of flour. Hope this helps!
Answer:
1/3 x 2/2 = 2/6
5/6 - 2/6 = 3/6
3/6 / 3/3 = 1/2
1/2 more flour than sugar
Hope this helps. If you have any questions you can ask.
Step-by-step explanation:
Estimate the product :23. 8 × 349
Answer:
8400
Step-by-step explanation:
Round them to their nearest whole:
23.8 x 349
24 x 350
We then use what we rounded and answer...
24 x 350 estimated to 8400
Answer:
6000
Step-by-step explanation:
23.8 - 20
349 - 300
20 times 300 = 6000
What is the quotient of 38 and 23?
Answer:
im not sure if your doing it by 38 dividend by 23 but i got 1.652174.......idk really im doing the same question lol.
Step-by-step explanation:
PLEASE HELP
( velocity - on a graph )
Answer:
a) v_avg = k
b) 0.034 km/h
Step-by-step explanation:
a) The average velocity is given by the displacement over the time:
[tex]v_{avg}=\frac{\Delta x}{\Delta t}[/tex] (1)
Δx is the area under the line. In this case you can consider two areas. Firs, from t=0 t0 t=30 and from t=30 to t=50:
S1 = 30k
S2 = 20k/2 = 10k
Then, the total surface is:
S = S1+S2 = 50k
The average speed is:
v_avg = (50k)/(50s)= k
b) The value of k can be determined by using the expression for the total area under the line, which is the total displacement of the car S=1.7 km:
S=50k=1.7km
k=(1.7km)/(50k)=0.034km/h = 34 m/h
Written expression for the sum of d and 9
Hey!!
Here's your answer:
Answer:d+9
Hope it will help you....
Good luck on your assignment
can you put this in order 2, 10, 9, -10, -9, -8, -7, -6, -5 -4, 0,
ORDER FROM LEAST TO GREATEST:
-10, -9, -8, -7,-6, -5, -4, 0, 2, 9, 10.
Hey there!
When we have negative numbers, we might count like this: ....-5,-4,-3,-2,-1,0,1,2,3....
As you can see, the negative number is known as greater if it is closer to zero, so -1 is greater than -100.
With this information, let's order these numbers! :)
-10,-9,-8,-7,-6,-5,-4,0,2,9,10
I hope that this helps!
Please help quickly !!!!!!
Answer:
You should be able to figure this out from the explanation below.
Step-by-step explanation:
When two lines cuts across each other they form.what we call.vertically opposite angles so from the figure above, we can say:
Look at the diagram below for more understanding of the concept.
Answer: 77 degrees
Step-by-step explanation:
Use Theorem "measure of the angle is the average of the measures of the arc
(a=b+c/2)
a=x
b=76
c=78
Set up your equation, X=76+78/2
=77
Hope this heeelps~!!
-Michiko
The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?
Answer:
The half life of the car is 3.98 years.
Step-by-step explanation:
The value of the car after t years is given by the following equation:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
In which V(0) is the initial value and r is the constant decay rate, as a decimal.
The value of a certain car decreases by 16% each year.
This means that [tex]r = 0.16[/tex]
So
[tex]V(t) = V(0)(1-r)^{t}[/tex]
[tex]V(t) = V(0)(1-0.16)^{t}[/tex]
[tex]V(t) = V(0)(0.84)^{t}[/tex]
What is the 1⁄2-life of the car?
This is t for which V(t) = 0.5V(0). So
[tex]V(t) = V(0)(0.84)^{t}[/tex]
[tex]0.5V(0) = V(0)(0.84)^{t}[/tex]
[tex](0.84)^{t} = 0.5[/tex]
[tex]\log{(0.84)^{t}} = \log{0.5}[/tex]
[tex]t\log{0.84} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.84}}[/tex]
[tex]t = 3.98[/tex]
The half life of the car is 3.98 years.
represents the
Which equation best
relationship between x and y shown in
the table?
Answer:
Step-by-step explanation: It’s C, So you just plug it in basically. y = 4x + 1, for example let’s use the third column y = 4(2) + 1, equals 9. You just repeat it in all the other columns and you equal y. So it’s C, y = 4x + 1