Answer:
-5/3
Step-by-step explanation:
Let x be the unknown number
2-x = 1/3
Subtract 2 from each side
2-x-2 = 1/3 -2
x = 1/3 -2
Get a common denominator
x = 1/3 - 2 *3/3
x = 1/3 -6/3
x = -5/3
Answer:
5/3
Step-by-step explanation:
2 - n = ⅓
n = 2 - ⅓
n = (2×3 - 1)/3
n = 5/3
Bob works at a construction company. He has an equally likely chance to be assigned to work different crews every day. he can be a sign to work on cruise building apartments condominiums or houses. if he works 21 days a month about how many times should he except to be assigned to the apartment crew?
Bob can except to be assigned to the new house crew about _____ times out of 21 days
Answer:
i think it is 4? correct me if im wrong :(
Step-by-step explanation:
Which of the following are irrational numbers?
3.14
√ 5
0.3333
√ -4
1/9
Answer:
√ -4
Step-by-step explanation:
all square roots of negative numbers are irrational
From the given set of numbers, the only one that is irrational is:
√5
Which of the following are irrational numbers?
An irrational number is a number that can be written as the square root of a non-square number, and numbers that can't be written as the quotient of two integers.
For the given ones we have:
a) 3.14 = 314/100 this is a rational number.
b) √5, 5 is not a perfect square, so √5 is an irrational number.
c) 0.3333 = 3333/10,000 this is a rational number.
d) √-4 The square root of a negative number is a complex number.
e) 1/9 this is a rational number.
So, from the given numbers, the only irrational one is √5.
If you want to learn more about irrational numbers, you can read:
https://brainly.com/question/5342576
dress for $20, coupon for 40% off. After using the coupon, what is the sale price of the dress?
Answer:
$12
Step-by-step explanation:
If the dress is $20 and you are taking off 40%, then you are only paying for 60% of the original price.
20x0.6=12
PLZ HELP ME!!!!!!!
If a rectangular field has a length of x+7 and a width of 4x-2, write an expression for the length of fencing to go around the outer edges.
I WILL MARK YOU THE BRAINLIEST!!!
Answer:
(2x+14) + (8x-4) = P
Step-by-step explanation:
P stands for perimiter
The expression for the length of fencing to go around the outer edges is 10x+10.
What is the perimeter of a rectangle?The perimeter of a rectangle is the twice the sum of length and width.Perimeter of a rectangle = 2(l+b)Length of the rectangular field is given by x+7
and width is given by 4x-2
Length of fencing outer edges is equal to its perimeter.
Perimeter of a rectangle = 2(l+b)
=2(x+7+4x-2)
=2(5x+5)
=10x+10
Hence, the length of fencing outer edges is 10x+10
Learn more about perimeter of a rectangle here:
https://brainly.com/question/13723940
#SPJ2
I need help ASAP! Pease help me understand this
Answer:
25 meters
Step-by-step explanation:
Imagine a segment extending vertically down from the left tree to the right tree.
That would make the segment be 25-10, or 15.
Then, we have a right triangle and we can solve for the hypotenuse, which is the length of the rope. (The bottom of the triangle is 20, and the leg is 15.)
We can use the pythag theorem: 15^2+20^2=c^2
c^2=225+400
c^2=625
c=25
Therefore, 25 meters
I hope the helped! If you have any further questions or concerns, please feel free to comment them below!
The large sphere has a diameter of 20 feet.
Which expression represents the volume, in cubic units, of
the shaded part of the sphere?
-4ft
37(109) + 37(4)
7(109) – 2014)
1(209) + (4)
7(209) – 17(43)
Answer:
The volume of the sphere is 4187 cubic feet, approximately.Step-by-step explanation:
The volume of a spherer is defined as
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
Where [tex]r[/tex] is the radius and [tex]\pi \approx 3.14[/tex]
According to the proble, the diameter is 20 feet. By definition of radius,
[tex]r=\frac{d}{2}=\frac{20ft}{2} =10ft[/tex]
Replacing the radius in the volume formula
[tex]V=\frac{4}{3} \pi (10)^{3}[/tex]
[tex]V=4,187 \ ft^{3}[/tex]
Therefore, the volume of the sphere is 4187 cubic feet, approximately.
Joel spends 27 more minutes playing soccer after school on Tuesday than he did on Monday. He still exercises for a total of 60 minutes after school.
What percent of his time exercising after school did Joel spend playing soccer on Tuesday?
Answer:
60-27=33
33/2=16.5
16.5+27=43.5
43.5/60=0.725 or 72.5%
72.5%
Hope this helps
Step-by-step explanation:
Answer:
Joel spent 85, percent of his time exercises after school on Tuesday playing soccer.
Step-by-step explanation:
24+27=51
Joel spent 51 minutes playing soccer after school on Tuesday. He spent a total of 60 minutes exercising.
A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn
section of his field. This situation is shown in the model. What fraction of the
whole field is planted with white corn?
Answer:
[tex]\frac{3}{20}[/tex]
Step-by-step explanation:
Fraction of the total that is for corn (TC - Total corn):
[tex]TC=\frac{1}{4}[/tex]
fraction of the corn section that is for white corn (WC - white corn in the corn seccion):
[tex]WC=\frac{3}{5}[/tex]
we need to find the fraction of the whole field that is for the white corn.
For this we need to find how much is [tex]\frac{3}{5}[/tex] out of the [tex]\frac{1}{4}[/tex] destinated to corn, and this will be the fraction of the total that is for white corn. We find this fraction by multiplying the fraction of corn ([tex]\frac{1}{4}[/tex]) by the fraction of white corn in the corn section ([tex]\frac{3}{5}[/tex]).
I will call the total fraction of white corn TWC, thus:
[tex]TWC=WC*TC=\\=\frac{3}{5} *\frac{1}{4} \\\\=\frac{3*1}{5*4} \\\\=\frac{3}{20}[/tex]
the answer is: [tex]\frac{3}{20}[/tex] of the whole field is planted with white corn
I don’t know I need help
Answer:
x=34
Step-by-step explanation:
x+(x+12)+100=180
2x+12=80
2x=68
x=34
USE SUPPLEMENTARY!! STRAIGHT LINE= 180 degrees! :))
Answer:
[tex] \boxed{x \degree = 34\degree} [/tex]
Step-by-step explanation:
[tex] = > (x + 12) \degree + 100 \degree + x \degree = 180 \\ \\ = > x \degree + 12 \degree + 100 \degree + x \degree = 180 \degree \\ \\ = > 2x \degree + 112 \degree = 180 \degree \\ \\ = > 2x \degree = 180 \degree - 112 \degree \\ \\ = > 2x \degree = 68 \degree \\ \\ = > x \degree = \frac{68}{2} \degree \\ \\ = > x \degree = 34\degree[/tex]
Dori charges 60 customers £1 to play a game. The probability of a customer winning is 0.35 and the prize is £2. How many of the 60 customers can Dori expect to win and how much profit will Dori make?
Answer:
21 people will win, so the profit will be £18
Step-by-step explanation:
0.35 x 60 = 21
21 x 2 = 42 (the amount of money to give away to prize winners)
If 60 people enter, she has £60. Subtracting £42 in winning payouts from this leaves her with a £18 profit.
WILL GIVE BRAINLIEST The kilopascal is a unit of measure for atmospheric pressure. Suppose the atmospheric air pressure at sea level is about 101 kilopascals. For every 1000-m increase in altitude, the pressure decreases about 11.9%. What is the approximate pressure at an altitude of 2000 m?
Answer:
The formula to calculate pressure at an altitude in this case is:
P = original pressure x (1 + rate of change)^(number of changing)
in which,
original pressure = 101 kilopascals
rate of change = -11.9% = - 0.119
number of changing = 2000/1000 = 2
=> P = 101 x (1 - 0.119)^2 = 78.39 kilopascals
Hope this helps!
:)
The area of a rectangle is 54 ft?, and the length of the rectangle is 3 ft more than twice the width. Find the dimensions of the rectangle.
Answer:
prim
Step-by-step explanation:
which of these following equations solve for x in the two pictures
Answer:
X-14 / 2 = 24
Step-by-step explanation:
X-14 / 2 = 24
X-14 / 2 = 24
Find the midpoint of the line segment with end coordinates of:(−2,−4) and (2,−10)
Answer:
Step-by-step explanation:
By using mid point formula ,
(X,Y) =( X1+X2/2) , Y1 +Y2/2
(-2+2/2) , (-4-10/2)
or, (0/2), (-7)
A triangle has sides with lengths of 8 meters, 17 meters, and 20 meters. Is it a right triangle
Yes
No
Maybe
Answer:
yes coz in a right angled triangle all the sides are never equal
Step-by-step explanation:
yes coz in a right angled triangle all the sides are never equal
Answer:
No, they do not make a right triangle.
Step-by-step explanation:
Use the Pythagorean Theorem to see if the sides form a right triangle.
[tex]a^2+b^2=c^2[/tex]
'20' will be 'c'. It is the largest number in the sides given.
'8' will be 'a' and 17 will be 'b'.
[tex]8^2+17^2=20^2\\\rightarrow 8^2=64\\\rightarrow 17^2 = 289\\\rightarrow 20^2=400\\64+289=400\\\boxed{353\neq 400}[/tex]
The sides do not make a right triangle. They do not satisfy the theorem.
You are building a sand castle and want to use a bucket that holds a volume of 885 in.cubed and has height 11.7 in. What is the radius of the bucket? Use 3.14 for π.
Answer:
[tex]4.91 in[/tex]
Step-by-step explanation:
a bucket has the form of a cylinder, which has the following formula for its volume:
[tex]V=\pi r^2h[/tex]
where r is the radius and h is the height.
Since we need to find the radius, we solve for r:
[tex]r^2=\frac{V}{\pi h}\\ \\r=\sqrt{\frac{V}{\pi h} }[/tex]
and since we know according to the problem that:
[tex]V=885in^3[/tex]
and
[tex]h=11.7in[/tex]
substituing these values:
[tex]r=\sqrt{\frac{885in^3}{(3.14)(11.7in)}}\\ \\r=\sqrt{\frac{885in^3}{36.738in}}\\\\r=\sqrt{24.0895in^2}\\\\r=4.908in[/tex]
the radius is: [tex]4.908in[/tex] which can be rounded to [tex]4.91 in[/tex]
Evelyn borrowed $30 from her mother to buy a sweater. After 3 weeks of babysitting, she pays her mother back $24. What percent of the debt has Evelyn paid her mother back?
Answer:
80%
Step-by-step explanation:
We know that Evelyn paid off $24 of the $30. To find the percentage, we divide the part by the whole and then multiply by 100. The multiplying by 100 is optional, but it just makes the calculation easier. In this case, the part is 24 and the whole is 30, so our expression would be [tex]\frac{24}{30} * 100[/tex], or 80%. Hope this helps!
Unit 2 Cumulative Assessment
Enter your response in the box below.
Find the product of (7x - 3)(2x + 4). What is the coefficient of x when the product is written in simplest form?
Answer:
The coefficient of x is 22.
Lonnie works weekends at his uncle’s apple orchid. He has 47 baskets of apples to pack. Each basket holds 35 apples. How many apples in all will Lonnie pack?
Answer:
Step-by-step explanation:
baskets times apples
47 times 35
=1645
pls mark me brainliest
For Halloween, Gina received candies from her neighbor, aunt, and uncle. Her aunt gave four times as many candies as her uncle. Her uncle gave 10 less candies than her neighbor. Gina's aunt gave her 44 candies. How many candies did Gina's neighbor give her?
Answer:
21 candies.
Step-by-step explanation:
44÷4=Uncle
Uncle+10=Neighbor
Aunt: 44 candies
Uncle: 11 candies
Neighbor: 21 candies
Her neighbor gave here 21 candies.
pls explain what the answer is n how u got it pls????????????????????????????????????????????????????????????????????????????????????
Answer:
dependent
Step-by-step explanation:
The Anderson family has 3 kids 3 boys and 0 girls suppose that for each birth the probability of a boy birthday is 1/2 and the probability of a girl birth is also 1/2 what is the fractional probility of having 3 boys and 0 girls ina family first 3 births
Answer:
Fractional probability of having 3 boys and 0 girls in a family for first 3 births is [tex]\frac{1}{8}[/tex].
Step-by-step explanation:
Let A be the event of birth of a boy.
Let B be the event of birth of a girl.
Probability of birth of a boy, P(A) [tex]= \frac{1}{2}[/tex]
Probability of birth of a girl, P(B) [tex]= \frac{1}{2}[/tex]
We have to find the probability of birth of 3 boys i.e. event A occurring 3 times in a succession. It is independent events i.e. do not have any dependency on occurrence of any event.
So, Required probability can be calculated just by multiplying P(A) for 3 times.
i.e.
[tex]P(E) = P(A) \times P(A) \times P(A)\\\Rightarrow \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{2}\\\Rightarrow \dfrac{1}{8}[/tex]
So, the probability of having 3 boys and 0 girls in the family is [tex]\frac{1}{8}[/tex].
Someone please help me
Answer:
Slope = [tex]-\frac{1}{6}[/tex]
Step-by-step explanation:
Slope = [tex]\frac{Rise}{Run}[/tex]
Slope = [tex]\frac{6-10}{24-0}[/tex]
Slope = [tex]-\frac{1}{6}[/tex]
Answer:
-1/6
Step-by-step explanation:
Just use the formula Y2-Y1/X2-X1.
In this case if you substitute the coordinates of those numbers, then it would be 6-10/24-0 which is 24/-4 and if you simplify it, then you get the slope -1/6.
Which pair of angles is supplementary?
Answer:
asdvfbaddbdbdgbd d
Step-by-step explanation:
dbb v vbv v vsfggbbb
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
A. Y = 5/18(11)
B. Y = 18/5(11)
C. Y = (18)(5)/11
D. Y = 11/(18)(5)
Answer:
The answer is B! Trust
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
EDGE 23
12 is 3/4 of what number
Answer:
16
Step-by-step explanation:
4 x 4 =16
Answer:
16
Step-by-step explanation:
You need to divide by the top and multiply by the bottom.
12 divided by 3 is 4, and 4 times 4 is 16.
-30< x/-4
Solve for x.
Answer must be simplified.
Everything you need is attached below.
geometry help asap rocky
Answer:
A≈875.88
i think so at least :-)
Harshdeep was playing basketball with his friends with seconds left before the game ended he attempted a 3 point shot the following equation models the path of the basketball y=-x^2+4x+5 where x is the elapsed time in seconds
Answer:
After two seconds, the ball reached 9 units up.Step-by-step explanation:
The given function is
[tex]y=-x^{2} +4x+5[/tex]
The given function models the path of the ball.
The maxium height the ball reached is given by the vertex of this function, which has coordinates [tex]V(h,k)[/tex], where [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex].
From the equation, we know that [tex]a=-1[/tex], [tex]b=4[/tex] and [tex]c=5[/tex]. Replacing these values, we have
[tex]h=-\frac{4}{2(-1)}=2[/tex]
[tex]k=f(2)=-(2)^{2} +4(2)+5=-4+8+5=9[/tex]
Where [tex]k[/tex] determines the height and [tex]h[/tex] the time when the maximum height was reached by the ball.
The maximum height is 9 units.
Therefore, after two seconds, the ball reached 9 units up.
Determine whether the linear transformation is invertible. If it is, find its inverse. (If an answer does not exist, enter DNE.) T(x, y) = (-x + y, -x - y)
Answer:
[tex]((-\frac{1}{2}(x+y), -\frac{1}{2} (x-y) )[/tex]
Step-by-step explanation:
T(x , y) = (-x -y, -x +y)
T(1, 0) = (-1, -1) = -1(1 , 0) -1(0 , 1)
T(0, 1) = (-1, 1) = -1(1 , 0) +1(0 , 1)
Therefore,
[tex]T = \left[\begin{array}{ccc}-1&-1\\-1&1\end{array}\right][/tex]
|T| = [-1 -1] = -2
T is invertible
[tex]T^-^1 = -\frac{1}{2} \left[\begin{array}{ccc}1&+1\\+1&-1\end{array}\right] \\\\=\left[\begin{array}{ccc}-1/2&-1/2\\-1/2&1/2\end{array}\right][/tex]
Therefore,
[tex]T^-^1(x,y)=(-\frac{1}{2}x -\frac{1}{2} y,-\frac{1}{2} x+\frac{1}{2} y)[/tex]
[tex]((-\frac{1}{2}(x+y), -\frac{1}{2} (x-y) )[/tex]