Answer: Length is 16 ft. Width is 5 feet.
Step-by-step explanation: Take the information given and write an equation. "Length decreased by 3 is 1" becomes L - 3w = 1 .
"Solve" for L. L= 3w +1
Write another equation for the formula of a perimeter. P=2L + 2w.
Substitute the values for L (from the first "solution" you wrote) and P (42 ft, given).
42 = 2(3w +1) + 2w. Solve this.
42= 6w +2 + 2w
42= 8w +2. Subtract 2 from both sides then divide both sides by 8.
W = 5
Substitute that into the first equation you wrote to get the Length.
L - 3(5) = 1
L -15 = 1. L = 1+15
L = 16
−7×8=?????????????????????????
Answer
the answer is -56
Step-by-step explanation:
3.6 x 0.025 is my question to be answered
Answer:
0.09
because I multiplied...
Answer:
0.09
Step-by-step explanation:
36/ 10 x 25/ 1000 = 18/ 5 x 1/40 = 9/100 = 0.09
Write the fraction from least to greatest: 1/8, 1/3, 1/8
Answer:
Start with making them equal.
1/8 --> 3/24
1/8 --> 3/24
1/3 --> 8/24
Now order them.
1/8, 1/8, 1/3.
Hope this helps ;)
Choose the equation that best fits the following graph.
Answer:
c. y = 3.25^x
Step-by-step explanation:
At x=1, the value of y is slightly more than 3, so the base must be more than 3. The appropriate choice is ...
y = 3.25^x
The senior classes at Snellville High and General High planned separate trips to the water park. The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?
Answer:
133 Students
Step-by-step explanation:
Let the number of student in a van=v
Let the number of student in a bus=b
The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.
Therefore: 12v+14b=796
General High rented and filled 14 vans and 12 buses with 738 students.
Therefore: 14v+12b=738
We solve the two resulting equations simultaneously
12v+14b=796
14v+12b=738
Multiply equation 1 by 12 and equation 2 by 14 to eliminate b
144v+168b=9552
196v+168b=10332
Subtract
-52v=-780
Divide both sides by -52
v=15
We substitute v=15 to obtain b in any of the equations
12v+14b=796
12(15)+14b=796
14b=796-180
14b=616
Divide both sides by 14
b=44
Therefore a bus contains 44 Students and a Van contains 15 students.
Number of Students who would fill 2 buses and 3 vans
=2b+3v
=2(44)+3(15)
=133 Students
Write the fraction in lowest terms.
28
32
Answer:
7/8
Step-by-step explanation:
28/32
Divide the top and bottom by 4
28/4 = 7
32/4 = 8
28/32 = 7/8
Show steps how to solve for y!!!!!
2y+2=3y/2
Please help me
[tex]\text{Solve for y:}\\\\2y+2=\frac{3y}{2}\\\\\text{Multiply both sides by 2 to cancel the denominator}\\\\4y+4=3y\\\\\text{Subtract 3y from both sides}\\\\y+4=0\\\\\text{Subtract 4 from both sides}\\\\\boxed{y=-4}[/tex]
Answer:-4
Step-by-step explanation:
2y+2=3y/2
Cross multiply
2(2y+2)=3y
Open bracket
4y+4=3y
Collect like terms
4y-3y=-4
y=-4
Graph the equation y=x²-8x+7 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Answer:
vertex is: (4,-9)
y intercept= (0,7)
roots= (1,0) and (7,0)
Step-by-step explanation:
so we can use factoring to solve this quadratic equation real quick:
x^2-7x-1x+7
x(x-7)
-1(x-7)
(x-1)(x-7)=0
x-1=0
x=1
x-7=0
x=7
(1,0) and (7,0) are the roots
axis of symmetry: 8/2=4
substitute axsis of symmetry in equation to get vertex:
4^2-8(4)+7
16-32+7
-16+7=-9
vertex is: (4,-9)
y intercept= (0,7)
roots= (1,0) and (7,0)
Hope this helps
Which category is not one of the major responsibilities of state government?
A. Economic development
B. Corrections
C. Electrical power
D. Law enforcement
Answer: C electricity
Step-by-step explanation:
It is
Sheila earns $8 per hour at her afterschool job. After working one week, she received a paycheck for $104. Write and solve an equation to find the number of hours Sheila worked. Fill in the blank with the solution only.
Answer:
13
Step-by-step explanation:
It should just be 104 divided by 8 which equals=13
A bag contains 1 yellow, 2 blue, 4 green, and 3 red marbles. A marble is drawn and replaced. Then a
second marble is drawn.
Part A
What is P (blue, then blue)?
Part B
What is P (green, then red)?
Answer:
Step-by-step explanation:
total = 1 + 2 + 4 + 3 = 10
blue then blue = 2/10 * 2/10 = 1/5 * 1/5 = 1/25
green then red = 4/10 * 3/10 = 12/100 = 3/25
Measuring Circles:Question 1
A bicycle wheel has a circumference of 66 inches. What is the
approximate radius of the wheel?
Round to the nearest hundredth, and use
7 ~ 3.14
Select one:
0
4.58 inches
0
10.51 inches
0
21.02 inches
O
103.62 inches
We have been given that a bicycle wheel has a circumference of 66 inches. We are asked to find the radius of the wheel.
We will use circumference of circle formula to solve our given problem.
[tex]\text{Circumference of circle}=2\pi r[/tex], where r represents radius if circle.
Upon substituting our given values, we will get:
[tex]66=2\cdot 3.14\cdot r[/tex]
[tex]66=6.28\cdot r[/tex]
[tex]6.28\cdot r=66[/tex]
[tex]\frac{6.28\cdot r}{6.28}=\frac{66}{6.28}[/tex]
[tex]r=10.509554[/tex]
Upon rounding to nearest hundredths, we will get:
[tex]r\approx 10.51[/tex]
Therefore, the radius of the wheel is approximately 10.51 inches.
There were 3,342 students enrolled at a university of those students 587 graduated in may over the sumer 32 students left the university and 645 new students enrolled in the fall how many students were enrolled in the fall
Answer:
645
Step-by-step explanation:
it says 645 were inrolled in the fall
Which of the following is not a binorrial experiment?
a Asking 100 people whether or not the like pizza.
b. Measuring the height of 100 people to see if they are over 61.
Asking 100 people what their favorite color is.
d. Asking 100 people if their favorite color is red.
Answer:
You don't need experiments to ask people questions
Ming throws a stone off a bridge into a river below.
The stone's height (in meters above the water), xxx seconds after Ming threw it, is modeled by:
h(x)=-5(x-1)^2+45h(x)=−5(x−1)
2
+45h, left parenthesis, x, right parenthesis, equals, minus, 5, left parenthesis, x, minus, 1, right parenthesis, squared, plus, 45
How many seconds after being thrown will the stone reach its maximum height?
Answer:
1 seconds after being thrown, the stone reaches its max height
Step-by-step explanation:
Answer:1 Seconds Is wrong the correct answer is 2
Step-by-step explanation:
Khan said so
PLEASE LIKE AND RATE IF YOU GOT YOUR QUESTION RIGHT!!!
The MIT soccer team has 2 games scheduled for one weekend. It has a 0.4 probability of not losing the first game. and a 0.7 probability of not losing the second game, independent of the first. If it does not lose a particular game, the team is equally likely to win or tie. independent of what happens in the other game. The MIT team will receive 2 points for a win, 1 for a tie. and 0 for a loss. Find the PMF of the number of points that the team earns over the weekend.
Answer:
Step-by-step explanation:
To determine the PMF of the points that the team receive, we must determine the probabilities of winning each of the games.
Consider the firt game. We know that the probability of not losing is 0.4. Since the team can either lose the game or not, we have that the probability of losing it is 0.6. We are told that given that the team does not lose, the probability of winning or having a tie is the same. Recall that, given events A, B, the conditional probability P(A|B) (which means probability of A given B) is given as
[tex]P(A|B) = \frac{P(A\cap B)}{P(B)}[/tex]
in our case, we have that B:= not losing the game. Consider A:= To win the game, C:= To tie the game. We know that P(A|B)=P(C|B). When the team doesn't lose, then the team either ties or wins, this means that
[tex]P(A|B)+P(C|B) = 1[/tex]
So we get that P(A|B) = P(C|B) = 1/2. Let us find P(A)
[tex]P(A|B) = \frac{P(A\cap B)}{P(B)} = \frac{P(A)}{P(B)}=\frac{1}{2}[/tex]
Then [tex]P(A) = \frac{P(B)}{2} = 0.2[/tex]. By an analogous calculation we have that P(A) = P(C) = 0.2.
We will define the following events: [tex]W_i[/tex] is the event that the team wins the game i, [tex]T_i[/tex] is the event that the team ties the game i and [tex]L_i[/tex] is the event that the team loses the game i. In this notation, we have that
[tex]P(W_1) = P(T_1) = 0.2, P(L_1) = 0.6[/tex]
By reasoning the same way for the second game, we can calculate that
[tex]P(W_2)=P(T_2)=0.35, P(L_2) = 0.3[/tex]
To calculate the PMF we must check all the possible outcomes of the results of both games. Since we can either win (W), tie(T) or lose(L) a game, we will express the outcome as follows TW(3) means that the team ties the first game and wins the second one, for a total of points. In this way, the possible outcomes are
WW(4), WT(3), WL(2), TW(3), TT(2), TL(1), LW(2), LT(1), LL(0)
We see that the number of possible points are 0,1,2,3,4. Let X be the number of points, to get the pmf of X is to give the probability P(X=k) for k=0,1,2,3,4 explicitly. Note that since each game is independent of each other, to get the probability of one of the outcomes it suffices to multiply the probability of each event. For example we have that [tex]P(WW) = P(W_1)\cdotP(W_2) = 0.07[/tex]
Then, the pmf is given by
[tex]P(X=0) = P(LL) = 0.18[/tex]
[tex]P(X=1)=P(LT)+P(TL) = 0.27[/tex]
[tex]P(X=2)=P(LW)+P(TT)+P(WL) = 0.34[/tex]
[tex]P(X=3)=P(WT)+P(TW) = 0.14[/tex]
[tex]P(X=4)=P(WW)= 0.07[/tex]
S. Solve the following system of equations algebraically.
3x-y = 0
5x + 2y = 22
Part II: Combine the two equations to eliminate one of the variables. Show the result of this
combination below. (2 points)
Answer:
11x = 22(x, y) = (2, 6)Step-by-step explanation:
Twice the first equation can be added to the second to eliminate the variable y.
2(3x -y) +(5x +2y) = 2(0) +(22)
11x = 22 . . . . . . . the result of the combination
__
Solving this gives ...
x = 2
Substituting into the first equation gives ...
3(2) -y = 0
y = 6
The solution is (x, y) = (2, 6).
Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5
Answer:
y = 3x-6
Step-by-step explanation:
y = 3x−5
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
m =3
Parallel lines have the same slope
We have the slope m=3 and a point (2,0)
y = mx+b
y = 3x+b
Substituting the point into the equation to solve for b
0 = 3(2)+b
0 = 6+b
b = -6
y = 3x-6
Answer:
y = 3x - 6
Step-by-step explanation:
Parallel lines have the same slope,
So m = 3
y - 0 = 3(x - 2)
y = 3x - 6
profit 75% retail $350. what is cost at wholesale
Answer:
Step-by-step explanation:
350-75%=87.5\\so 350-87.5\\=262.5\\$262.5 dolla profit\\
Which of the following values of n will result in a true statement when substituted into the given equation? 4n + 9 = 1 A. n = -2 B. n = 2 C. n = 3 D. n = 4
Answer:
A. n = -2
Step-by-step explanation:
A. n = -2
4(-2) + 9 = 1
-8 + 9 = 1
1 = 1
The value of n for which the statement of equation 4n + 9 = 1 holds true is n = -2.
Given an equation:
4n + 9 = 1
There are some given options for the value of n.
It is required to find the value of n, where the statement is true.
A) When n = -2:
4n + 9 = 4(-2) + 9
= 1
B) When n = 2:
4n + 9 = 4(2) + 9
= 17
C) When n = 3:
4n + 9 = 4(3) + 9
= 21
D) When n = 4:
4n + 9 = 4(4) + 9
= 25
Hence the true statement is when n = -2.
Learn more about Equations here :
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what is 7 divided by 1/3 in multiplication is it A.1/3 multiplied by 7 =k B. 1/3 multiplied by k=7 or C. 1/3=k multiplied by 7. Please Try to give the correct answer!
Answer:
B. 1/3 multiplied by k=7
Step-by-step explanation:
7 ÷ ⅓ = k
Multiply both sides by ⅓
7 ÷ ⅓ × ⅓ = k × ⅓
7 = k × ⅓
Choose the property of addition. ( 5 + 3 ) + 8 = 5 + ( 3 + ? )
A. associate property of addition
B. Commutative property of addition
C. Distributive property
D. Identity property of addition
Answer:
A. associative property of addition
Step-by-step explanation:
Associative because you can add or multiply those regardless of how the numbers are grouped.
I hope this helped and have a good rest of your day!
Answer:
Associative Property of Addition
Step-by-step explanation:
This property states that the sum of 3 or more numbers stays the same, no matter how they are grouped.
Hope this helped. Have an awesome day!
What is the image of (1,0) after a counterclockwise rotation of 60 degrees?
Answer:
[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]
Step-by-step explanation:
The coordinate has the following polar form:
[tex]\vec r = (1, 0^{\circ})[/tex]
The image of the coordinate rotated counterclockwise 60° is:
[tex]\vec s = (1, 60^{\circ})[/tex]
Its equivalent form in rectangular coordinates is:
[tex]\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})[/tex]
[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing.
Answer:
27
Step-by-step explanation:
Input 5 for all x-values.
If that is an equal sign...
1/9*(3^5)
With PEMDAS, exponents are done before multiplication.
1/9*243
= 27
3A wholesaler buys baseball gloves for $15 each. He then marks up the price to $20. By what percentage was the price of the baseball glove increased
Answer:
25%
Step-by-step explanation:
if 8% is deducted from the bill,$384 bill remains to be paid. How much is the original bill?
Answer:
$353.28
Step-by-step explanation:
Subtract fifteen and eighty-eight ten-thousandths from thirty-six. Express your answer in numerical and word form.
Answer:
20 and nine thousand nine hundred and twelve ten thousandth
Step-by-step explanation:
fifteen and eighty-eight ten thousandth =15 88/10000
Thirty six=36
36 - 15 88/10000
36 - 150088/10000
(36x10000 - 150088)/10000
(360000 - 150088)/10000
209912/10000=20 9912/10000
20 and nine thousand,nine hundred and twelve ten thousandth
The value of the expression [36 - (15 + 88 / 10,000)] is 20.9912.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Subtract fifteen and eighty-eight ten-thousandths from thirty-six. Then the expression is given as,
⇒ 36 - (15 + 88 / 10,000)
The value of the expression is calculated as,
⇒ 36 - (15 + 88 / 10,000)
⇒ 36 - (150,088/10,000)
⇒ (360,000 - 150,088) / 10,000
⇒ 209,912 / 10,000
⇒ 20.9912
More about the Algebra link is given below.
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If three points of a parallelogram are A (-5, -2), B (1,5), C (7.1). Which of the
following is the fourth point D of parallelogram ABCD?
(13,8)
(13.-6)
(1. -2)
(1,-6)
Hi guys, Can anyone help me with this tripple integral? Thank you:)
I don't usually do calculus on Brainly and I'm pretty rusty but this looked interesting.
We have to turn K into the limits of integration on our integrals.
Clearly 0 is the lower limit for all three of x, y and z.
Now we have to incorporate
x+y+z ≤ 1
Let's do the outer integral over x. It can go the full range from 0 to 1 without violating the constraint. So the upper limit on the outer integral is 1.
Next integral is over y. y ≤ 1-x-z. We haven't worried about z yet; we have to conservatively consider it zero here for the full range of y. So the upper limit on the middle integration is 1-x, the maximum possible value of y given x.
Similarly the inner integral goes from z=0 to z=1-x-y
We've transformed our integral into the more tractable
[tex]\displaystyle \int_0^1 \int_0^{1-x} \int _0^{1-x-y} (x^2-z^2)dz \; dy \; dx[/tex]
For the inner integral we get to treat x like a constant.
[tex]\displaystyle \int _0^{1-x-y} (x^2-z^2)dz = (x^2z - z^3/3)\bigg|_{z=0}^{z= 1-x-y}=x^2(1-x-y) - (1-x-y)^3/3[/tex]
Let's expand that as a polynomial in y for the next integration,
[tex]= y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3[/tex]
The middle integration is
[tex]\displaystyle \int_0^{1-x} ( y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3)dy[/tex]
[tex]= y^4/12 + (x-1)y^3/3+ (2x+1)y^2/2- (2x^3+1)y/3 \bigg|_{y=0}^{y=1-x} [/tex]
[tex]= (1-x)^4/12 + (x-1)(1-x)^3/3+ (2x+1)(1-x)^2/2- (2x^3+1)(1-x)/3[/tex]
Expanding, that's
[tex]=\frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1)[/tex]
so our outer integral is
[tex]\displaystyle \int_0^1 \frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1) dx[/tex]
That one's easy enough that we can skip some steps; we'll integrate and plug in x=1 at the same time for our answer (the x=0 part doesn't contribute).
[tex]= (5/5 + 16/4 - 36/3 + 16/2 - 1)/12[/tex]
[tex]=0[/tex]
That's a surprise. You might want to check it.
Answer: 0
Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the approximate distances and angles, as shown. A triangle is labeled with Jo apostrophe s House, Boris apostrophe s House, and Carrie apostrophe s house on the points. The length from Jo to Boris is 0.5 miles, the length from Boris to Carrie is 0.4 miles, and the length from Carrie to Jo is 0.6 miles. The angle at Jo is 38 degrees. The angle at Boris is 88 degrees. The angle at Carrie is 54 degrees. Which step should they take next to find a meeting place that is the same distance from each person’s house?
Answer:
Draw perpendicular bisectors of two the sides
Step-by-step explanation:
The point that is the same distance from each of their houses is the point called the "circumcenter." It is the center of the circle that passes through the vertices of the triangle. Then each of the vertices is the same distance from the center.
The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle. To find it, the group needs to draw perpendicular bisectors of two of the sides.
Answer:
The answer is C
Step-by-step explanation:
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