Answer:
x=13
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
9x+17 + 3x+7 = 180
Combine like terms
12x +24 =180
Subtract 12 from each side
12x+24-24 =180-24
12x =156
Divide each side by 12
12x/12 =156/12
x=13
For this question, if the answer is not a whole number, enter it as a fraction using / as the fraction bar.
Rajek, a truck driver, hauls containers for his customers. One customer wants to know the total amount of cardboard that can fit in a container at one time. The truck Rajek uses is shown below.
The base of the container has an area of 50 1/4 square feet.
Answer:
226 1/8
Step-by-step explanation:
Substitute the measurements of the container into the formula.
The amount of cardboard Rajek can fit in the container at one time is cubic feet.
The total surface area of the container is 9L + 9W + 50 1/4
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
To find the total amount of cardboard that can fit in the container at one time, we need to find the surface area of the container.
The container has a rectangular base with an area of 50 1/4 square feet.
Let's assume the length of the base is L and the width is W.
We know that:
L x W = 50 1/4
We also know that the height of the container is 4(1/2) feet, which is equivalent to 9/2 feet.
The container has two identical sides, which are rectangles with a length of L and a height of 9/2 feet.
The surface area of one side is:
L x (9/2) = (9/2)L
The container also has two identical ends, which are rectangles with a width of W and a height of 9/2 feet.
The surface area of one end is:
W x (9/2) = (9/2)W
Finally, the container has a top, which is a rectangle with a length of L and a width of W.
The surface area of the top is:
L x W
To find the total surface area of the container, we add up the surface area of each of these parts:
Total surface area = 2(L x (9/2)) + 2(W x (9/2)) + (L x W)
Simplifying this expression, we get:
Total surface area = 9L + 9W + LW
We know that L x W = 50 1/4, so we can substitute this into the equation:
Thus,
The total surface area of the container is 9L + 9W + 50 1/4
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what is 261.8 rounded to the nearest tenth
is it 261.80?
What is the slope of line m?
On a coordinate plane, a straight line goes through (negative 2, 1), (0, 0), and (2, negative 1).
Given:
A straight line goes through (-2,1), (0,0), and (2,-1).
To find:
The slope of the given line.
Solution:
Slope formula
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points from the given points.
The line goes through (-2,1) and (0,0). So, the slope of the line is
[tex]m=\dfrac{0-1}{0-(-2)}[/tex]
[tex]m=\dfrac{-1}{2}[/tex]
Therefore, the slope of the line is [tex]m=-\dfrac{1}{2}[/tex].
Answer:
its 2/3
Step-by-step explanation:
Six more than five times a number
Answer:
? = 5n + 6
Explanation:
Answer:
5x + 6
Step-by-step explanation:
Let the number = x. 5 times x = 5x. So, the equation 5x + 6.
how many 5 digits numbers can be created using digits 1,2,3,7, and 6 without repeating any digits within that 5-digit number?
There are 5 numbers that can be used.
The first digit can be 1 of 5
The second digit can be 1 of 4
The third digit is 1 of 3
The fourth digit is 1 of 2
The fifth digit is 1 of 1
Total digits that can be created = 5 x 4 x 3 x 2 x1 = 120
Consider the figure shown below. What is the value of the angle x?
x = _______ degree.
WILL GIVE BRAINLIEST
If there are 2 boys and 3 girls in a group. What is the ratio of girls to boys? Express the ratio in 3 different ways. ( Place commas in between each way )
Answer:
2 to 3, 4 to 6, 8 to twelve
Step-by-step explanation:
the boys are first, girls second
Answer: 3:2 ... 9:6... 27:18 you can put 81:54 too
Step-by-step explanation:
I have a cage with cats and birds. there are 12 heads and 32 feet. how many
birds are there
12x4=48
48-32=16
4-2=2
16 divided by 2=8 birds
Answer:
4 cats, 8 birds
Step-by-step explanation:
make a system of equations and solve.
a) One of two boxes contain 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball is selected at random from it. a) Given that the ball selected is red, what is the probability it was selected from the first box? b) Given that the ball selected is red, what is the probability it was selected from the second box? c) Compare the results in parts a) and b) and explain the answer.
Answer:
The answer is below
Step-by-step explanation:
Let B₁ represent box 1, B₂ represent box 2, E₁ represent the event of selecting box 1, E₂ represent the event of selecting box 2 and R represent the event of selecting a red ball.
Given that:
Probability of selecting box 2 P(E₂) = 2/3, Probability of selecting box 1 = P(E₁) = 1/3
Probability of selecting red ball from box 1 = P(R | E₁) = 4/6 [4 red balls out of 4 red, 2 green]
Probability of selecting red ball from box 2 = P(R | E₂) = 2/6 [2 red balls out of 2 red, 4 green]
a)
Given the ball is red, the probability it was selected from the first box is:
[tex]P(E_1|R)=\frac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)} =\frac{2/3*1/3}{(2/3*1/3)+(1/3*2/3))} =\frac{1}{2}[/tex]
b)
Given the ball is red, the probability it was selected from the second box is:
[tex]P(E_2|R)=\frac{P(R|E_2)P(E_1)}{P(R|E_2)P(E_2)+P(R|E_1)P(E_1)} =\frac{1/3*2/3}{(1/3*2/3)+(2/3*1/3))} =\frac{1}{2}[/tex]
c)
We can see that both probabilities are equal. Although we have more red balls in box 1 (twice as much) than in box 2 but the probability of selecting from box 2 (is twice as much) than from selecting from box 1.
The probability that the ball selected is red and it is selected from the first box is 1/2 and the probability that the ball selected is red and it is selected from the second box is 1/2.
Given :
One of the two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2.a) The probability that the ball selected is red and it is selected from the first box is:
[tex]P(E_1|R)=\dfrac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]
[tex]P(E_1|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]
[tex]P(E_1|R)=\dfrac{1}{2}[/tex]
b) The probability that the ball selected is red and it is selected from the second box is:
[tex]P(E_2|R)=\dfrac{P(R|E_2)P(E_2)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]
[tex]P(E_2|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]
[tex]P(E_2|R)=\dfrac{1}{2}[/tex]
c) The probability that the ball selected is red and it is selected from the first box and the probability that the ball selected is red and it is selected from the second box is the same.
For more information, refer to the link given below:
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There are less 32 students in Mr. B’s math class
Answer:
-32????
Step-by-step explanation:
I don't see an actual question here, so my three answers that I got from this post are:
-32
<32
>-32
pls help asap
AABC ~ ADEF B. Х 8 А 'C E 3 6. D ' x = [?] Enter
Answer:
[tex] \boxed{ \tt{x = 4}}[/tex]
Step-by-step explanation:
[tex] \frac{3}{x} = \frac{6}{8} \\ 6x = 24 \\ x = 4[/tex]
provided
What is the value of 2 in the equation 60x = 360x
The data in the line plot show how many pages each student read last night. Which is the best measure of variability?
A. interquartile range
B. mean
C. median
D. range
Please help! :( If AJKL = ARST, which congruences are true by CPCTC? Check all that apply.
A. ZL ZR
B. KL: ST
C. KZS
D. JK = RS
E. JL - RS
F. LJ2S
Step-by-step explanation:
I just got it on a pex. JK=RS. KL=ST. K=S. those are the answers
The congruences that are true by CPCTC are:
∠L = ∠R
KL ≅ ST
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
If ΔJKL = ΔRST, then the corresponding parts of the triangles are congruent.
CPCTC stands for "corresponding parts of congruent triangles are congruent,"
So we can use this property to determine which congruences are true.
∠L = ∠R:
This is true by CPCTC because they are corresponding angles in congruent triangles.
JK ≅ RS:
This is not true by CPCTC because they are not corresponding sides in congruent triangles.
KL ≅ ST:
This is true by CPCTC because they are corresponding sides in congruent triangles.
JL ≅ RS:
This is not true by CPCTC because they are not corresponding sides in congruent triangles.
∠L = ∠S:
This is not necessarily true just by the fact that ΔJKL = ΔRST.
It could be true in some cases, but it is not guaranteed by CPCTC.
Therefore,
The congruences that are true by CPCTC are:
∠L = ∠R
KL ≅ ST
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John ran 1 of a mile in 8 minutes. If he continues running 2 at that speed, how long will it take him to run one mile? A) 4 minutes B) 8 minutes C) 12minutes D) 16 minutes
Answer:
d 16 minutes
Step-by-step explanation:
1 mile equals 8 minutes
2 miles equals 16 minutes
How many samples of size 2 can be formed from population of size 5
Answer:
2
Step-by-step explanation:
city workers recorded the number of squirrels in a park over a period of time. At the first count, there were
30 total squirrels. After 1 year, the city workers recorded a total of 60 squirrels, and after 2 years there were
120
a. Write a function that represents the population of squirrels recorded over x number of years,
b. Assuming the same growth rate and no squirrel dies, what will the squirrel population be in 6 years?
Justify your answer mathematically
Function:
A. x times 60 = the amount of squirrels in that year
Answer
B. 6 X 60 = 360
Step-by-step explanation
Years | Squirrels
______________
1 | 60
---------------------------
2 | 120
-------------------------
3 | 180
-------------------------
4 | 240
-------------------------
5 | 300
-----------------------
6 | 360
Penzance, Edinburg and Aberdeen all lie in a straight line.
The distance from Penzance to Aberdeen is 660 miles.
The distance from Penzance to Edenburg is 542 miles.
Work out the distance from Edinburgh to Aberdeen.
Answer: 505
Step-by-step explanation:
I searched it up
Find the area of the figure. Use 3.14 for A. N 8 m 12 m
Answer: 105m²
Formula for Area of Circle: A = π r²
so, A = 3.14 (6)² (I got 6 because radius is half the diameter)
Don't forget to divide the final area of the circle in half, because It's only a semicircle.
Formula for Triangle: A = [tex]\frac{bh}{2\\}[/tex]
so, A = [tex]\frac{6(8)}{2}[/tex] (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)
You need to multiply the final area of the triangle by 2 since there are 2 triangles.
Step-by-step explanation:
Cos Milky said it. Trust Milky. Milky smart.
Answer:
deez nù Tx. . .
Step-by-step explanation:
source:trust me bro
help please. pleasee i will mark brain please
Answer:
A=3
B=3
C=2.5
D=5
E=1
F=2
G=4
Here you go! Happy to help!
Step-by-step explanation:
need help on geometry question :)
Answer:
the answer is 9√3
sin60°= p/h
√3/2 = x/18
by cross multiplication we get
18√3=2x
therefore: x=9√3
Answer:
I think it's 12√3
I don't know if I'm correct
Find the slope of the line containing the given pair of points. If the slope is undefined, state this. (-8,0) and (4,0)
Answer:
The slope is 0
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-8,0)[/tex]
[tex](x_2,y_2) = (4,0)[/tex]
Required
The slope (m)
This is calculated as"
[tex]m=\frac{y_2-y_1}{x_2 - x_1}[/tex]
[tex]m=\frac{0-0}{4 -(-8)}[/tex]
[tex]m=0[/tex]
The slope is 0
what is the measure of angle k?
9514 1404 393
Answer:
59°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
∠N +∠L = 180°
(a +16) +(a -18) = 180
2a = 182 . . . . . . . . . . add 2
a = 91 . . . . . . . . . . . . divide by 2
Then the measure of angle M is ...
∠M = (a+30)° = (91 +30)° = 121°
and angle K is its supplement.
∠K = 180° -121°
∠K = 59°
Please help me with this and explain how you got the answer thank you
A teacher is making 7 identical supply boxes
for each table in her classroom. Each box
contains some pencils and 11 pens. The
teacher uses a total of 182 pencils and pens.
Determine the number of pencils that are in
each box.
Answer:
26
Step-by-step explanation:
182 pencils devided by 7 identical boxes
182÷7
=26 pencils are in each box
Answer:
15 pencils in each box
Step-by-step explanation:
If each box has 11 pens,then there are 77 pens
In total 182 pencils and pens
182-77 = 105 (105 pencils)
105/7 = 15
15x7 = 105
11x7 = 77
105 +77 = 182
Please guys, can someone help me out?
Please help
look at picture
Any answers not related to the question above will be reported
Answer:
5206 cm^2
Step-by-step explanation:
2(31×23 + 31×35 + 23×35)
2(713 + 1085 + 805)
2(2603)
5206
Answer all of these please
1.The product of a number and seven more than the number
2.The product of a number and seven less than the number
3.Eight less than twice a number is fourteen.
4.One less than three times a number is seven.
5. Four more than five times a number is two less than the number.
6.Ten less than a number is three more than six times the number.
7.Twice the sum of a number and 3 is 20.
Answer: 3. 22-8 / 4. 2x3.5 / 5.
Step-by-step explanation:
Step-by-step explanation:
1. 1×8=8
2. 9×2=18
3. 8+14=22÷2=11
4. 2.7
5. -1.5
6. closest -2.5
7.÷2=10-3=7
Please help it’s for homework
Story Problem:
Avery purchased 4 tacos and 2 burritos and her total cost was $21. Sasha purchased 4 tacos and 3 burritos
and her total cost was $26.50. What is the price of one burrito?
Answer:
Step-by-step explanation:
Let tacos be x and burritos be y
So, Avery purchased 4x+2y = 21
Sasha purchased 4x+3y = 26.5
Solving the 2 eqns:
4x+2y=21
-4x-3y=-26.5
-y=-5.5
The cost of one burrito is $5.5