Answer:
67
Step-by-step explanation:
Use the average formula: average = sum of elements / number of elements
Let x represent the score of their last game, and plug in the average, other scores, and number of elements into the equation:
56 = (48 + 57 + 52 + x) / 4
Simplify:
56 = (157 + x) / 4
Solve for x, by first multiplying each side by 4:
224 = 157 + x
Subtract 157 from both sides:
67 = x
So, the score of their last game was 67.
Identify the matrix transformation of ΔMNO, which has coordinates M(1, 3),N(5, 2), and O(3, −3), for a translation 2 units left and 4 units up. Then identify the correct vertices of the image
Answer:
M(-1,7), N(3,6), O(1,1)
Step-by-step explanation:
The coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that the coordinates are M(1, 3),N(5, 2), and O(3, −3).
We have to translate 2 units left and 4 units up.
The coordinates obtained after applying the given geometric transformation are M'(-1,7), N'(3,6), O'(1,1)
Thus, the coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).
Learn more about the geometric transformation here:
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How many moles are in the 500.0g lump of coal (which is made of carbon) that you received in your Christmas stocking last year?
How many carbon atoms are in this 500.0g lump of coal?
Answer:
Number of moles = 41.67 (Approx)
Number of carbon atom = 250.97 x 10²³ (Approx)
Step-by-step explanation:
Given:
Amount of carbon = 500 g
Find:
Number of moles
Number of carbon atom
Computation:
Number of moles = 500 / Atomic number of weight
Number of moles = 500 / 12
Number of moles = 41.67 (Approx)
Number of carbon atom = Number of moles x Avogadro number
Number of carbon atom = 41.67 x 6.023 x 10²³
Number of carbon atom = 250.97 x 10²³ (Approx)
Mealworms are a healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for 8.75. Marco buys a 3.75 oz container of mealworms for 9.75. Which container is the better deal (Connect Ratios, Rates, and Unit Rates)
Answer:
Adam's container
Step-by-step explanation:
Adam's: 8.75/ 3.5 = 2.5
Marco's: 9.75/ 3.75 = 2.6
= 2.5
Domain is the set of all input values, while range is the set of all: a. independent variables c. relations b. output values d. functions Please select the best answer from the choices provided A B C D
Answer:
b
Step-by-step explanation:
cellus
Find the standard deviation of
the given data rounded to the
nearest hundredth.
147, 141, 120, 124, 128
Answer:10.3
Step-by-step explanation:
Triangle GHJ with vertices G(-1, 3), H(4, -12), and J(3, -1) is dilated by a factor of 1/3 centered at the origin. What are the coordinates of G' after the dilation?
Answer:
The coordinates of Good after dilation will be (-1/3,1)
Step-by-step explanation:
Here, we want to get the coordinates of the point G after dilation
Mathematically, that would be having 1/3 multiply the coordinates of G
G’ = 1/3 (-1,3)
G’ = (-1/3 , 1)
Norma's retirement party will cost $24 if she invites 12 guests. If there are 13 guests, how much will Norma's retirement party cost? Solve using unit rates.
Answer:
If there are 13 guests, it would cost Norma $26
Step-by-step explanation:
Since 12 guest equals 24 dollars all you have to do is divide 24/12 which would give you 2dollars. this means that she has to pay 2 dollars per guest. Multiply 13 becuase you want to know how much money it would cost with 13 guests and you get 26 dollars. Hope this helps.
Answer:
It'll cost $26 !
Step-by-step explanation:
if you set it up like this;
[tex]\frac{13}{x}= \frac{12}{24}[/tex]
you can see a few ways of solving this !
one way is cross multiplication .
13 x 24 = 312
312 / 12 = 26
A company is considering purchasing mineral rights to two different mountains. The probability that it will purchase the mineral rights to the mountain is 0.55. The probability that will purchase the mineral second mountains 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, the probability that it will purchase the mineral rights to exactly one of the two mountains?
Answer:
.51
Step-by-step explanation:
P(F)=.55, P(S)= .4
P(F ∩ not S)= .55×.6=.33
P(S ∩ not F)= .4×.45=.18
.33+.18=.51
Answer:
The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
Step-by-step explanation:
Given information:
A company is considering purchasing materials:
The probability of purchasing mineral rights
Form the first mountain [tex]p_1=0.55\\[/tex]
From the second mountain [tex]p_2=0.4[/tex]
As the decision is made independently
So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]
P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]
Similarly, the value of
P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]
P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]
Hence , [tex]P=0.33+0.18[/tex]
[tex]P=0.51[/tex]
Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
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-12n + 3(n +
36)
Please helppp
Answer:
-9n+108
Step-by-step explanation:
-12n+3(n+36)
-12n+3n+108
-9n+108
Answer:
-9n+108
Step-by-step explanation:
distribute then combine like terms
this is due today pls help
Answer: the answer is linear
Step-by-step explanation: (not sure what functions it’s talkin about but it is linear)
A rectangular is completety filled with dice.Each dice has volume of 2cm³.The length of the box is 5cm grater than its width and its height is 5cm.Suppose the box holds at most 150dice.What are the posibble dimensions of the box
Answer:
length = 10.64 cm, width = 5.64 cm, and height = 5 cm.
Step-by-step explanation:
Total volume of dice that filled the box = (150 x 2) cm³
= 300 cm³
Let the length, width and height of the box be represented by l, w and h respectively.
So that;
l = (w + 5) cm
w = w
h = 5 cm
volume of the box = length x width x height
= (w + 5) x w x 5
= (w + 5) x 5w
= 5[tex]w^{2}[/tex] + 25w
volume of the box = 5[tex]w^{2}[/tex] + 25w
Since the box was completely filled by 150 dice, then;
total volume of dice = volume of the box
300 = 5[tex]w^{2}[/tex] + 25w
5[tex]w^{2}[/tex] + 25w - 300 = 0
Divide through by 5 to have;
[tex]w^{2}[/tex] + 5w - 60 = 0
Applying the quadratic expression,
w = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a
where: a = 1, b = 5 and c = -60
(-5 ± [tex]\sqrt{5^{2} - 4(1*-60)}[/tex] ) ÷ 2
(-5 ± [tex]\sqrt{265}[/tex]) ÷ 2
(-5 ± 16.28) ÷ 2
(-5 + 16.28) ÷ 2 OR (-5 - 16.28) ÷ 2
5.64 OR -10.64
Thus, w = 5.64 cm
So that, l = (w + 5) = 10.64 cm
The possible dimensions of the box are: length = 10.64 cm, width = 5.64 cm and height = 5 cm.
What is the answer???
Answer:
3, 11, and 14
Step-by-step explanation:
One side length of a triangle that is selected at random must be smaller than the sum of the other two side lengths and bigger than their difference
one side of this triangle is 4 and the other is 7 so if we call the third side length x
7-3 < x < 7+3 ➡ 4 < x < 11
Brody earns $11 for each hour of babysitting. How many hours in all will it take Brody to
earn a total of $33?
Answer:
3 hours
Step-by-step explanation:
11 / 33 =3
11 x 3 = $33
Answer:
3
Step-by-step explanation:
If brody earns $11 for each hour, and ends up with a total of $33 dollars, use the 11x=33. x= the amount of hours he worked. Move the 11 over to the other side by dividing each side by 11. Then 33 divided by 11 is 3 so x=3.
Which of the following is the value of expression 3y+5(x-8) when x=11 and y=2
Answer:
y=2
Step-by-step explanation:
that is it!!! I hope I'm correct..
Answer:
21
Step-by-step explanation:
Given
3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression
= 3(2) + 5(11 - 8) ← evaluate parenthesis
= 6 + 5 × 3
= 6 + 15
= 21
A side of the triangle below has been extended to form an exterior angle of 112°. Find
the value of x.
PLEASE HELP!!! SHOW WORK PLEASE!! LAST QUESTION!!!!! PLEASE
Answer:
133
Step-by-step explanation:
its an obtuse angle
What is the m for this slope?
Answer:
-3/4x
Step-by-step explanation:
Down 3, right 4. We know it's negative because it's declining, and going down till you reach the x-coordinate of the point gives us -3, and going right 4 units to the location of the point.
What is (5/4)³ ? Just asking-
Answer: 1.953... or 125/64
Step-by-step explanation:
The breadth and length of a rectangle are in the ratio 4:5 and its area is
32 sqm. What are the length and breadth?
Answer:
[tex]length=(\sqrt{40} )m,breadth=\frac{4\sqrt{40} }{5} m[/tex]
Step-by-step explanation:
So the ratio 4:5 relates the length and breadthNow the length is always longer that the breadth so 5 represents the length and 4 the breadthA ratio can be written as a fraction so [tex]4:5=\frac{4}{5}[/tex] Let [tex]l[/tex] mean length and [tex]b[/tex] breadth, so the ratio [tex]b:l=4:5,so,b:l=\frac{b}{l}=\frac{4}{5}[/tex] So if [tex]\frac{b}{l}=\frac{4}{5}[/tex] then multiply both sides by [tex]l[/tex] and you get [tex]b=\frac{4}{5} l[/tex] Now the equation for area is [tex]area=length*breadth[/tex] or [tex]A=l*b[/tex]Since our breadth [tex]b[/tex] equals [tex]\frac{4}{5} l[/tex] then we substitute for the breadthSo [tex]A=l*(\frac{4}{5}*l)=\frac{4}{5}*l*l=\frac{4}{5} l^2[/tex] so [tex]A=\frac{4l^{2}}{5}[/tex] We know the Area is [tex]32m^2[/tex] so [tex]32m^2=\frac{4l^{2}}{5}[/tex] so we simplify [tex]5*(32m^2)=5*(\frac{4*l^{2}}{5})\\ 160m^2=4*l^2\\ \frac{160m^{2}}{4}=\frac{4*l^{2}}{4} \\ 40m^2=l^2\\ l^2=40m^2\\ \sqrt{l^{2}} =\sqrt{40m^{2}} \\ l=(\sqrt{40})m[/tex] Now we find the breadth, since [tex]b=\frac{4}{5}*l \\ b=\frac{4}{5}*(\sqrt{40} )m\\ b=\frac{4\sqrt{40} }{5} m[/tex]A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Based on these results, express the probability that the next spin will land on blue as a decimal to the nearest hundredth.
Answer:
The probability that the next spin will land on blue is 0.12.
Step-by-step explanation:
The result of the several spins are as follows:
Color Frequency
Red 18
Blue 9
Green 18
Yellow 19
Purple 12
TOTAL 76
Compute the probability that the next spin will land on blue as follows:
[tex]P(Blue)=\frac{n(Blue)}{N}\\\\=\frac{9}{76}\\\\=0.1184211\\\\\approx 0.12[/tex]
Thus, the probability that the next spin will land on blue is 0.12.
The probability that the next spin will land on blue as a decimal to the nearest hundredth is 0.12 and this can be determined by using the given data.
Given :
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple.
The spinner is spun several times, and the results are recorded below:
Colour Frequency
Red 18
Blue 9
Green 18
Yellow 19
Purple 12
So, the total frequency is = 18 + 9 + 18 + 19 + 12
= 76
Based on the above given results, the probability that the next spin will land on blue is given by:
[tex]\rm P = \dfrac{n}{N}[/tex]
[tex]\rm P = \dfrac{9}{76}[/tex]
P = 0.1184
P [tex]\approx[/tex] 0.12
So, the probability that the next spin will land on blue as a decimal to the nearest hundredth is 0.12.
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Ingrid types 3 pages in the same amount of time that Tanya types 4.5 pages. Write a proportion that could be used to find the number of pages Tanya will have typed when Ingrid has typed 11 pages, if they start typing at the same time. Use x to represent the number of pages Tanya has typed.
Answer:
16.5 pages
Step-by-step explanation:
Number of pages Ingrid types = 3
Number of pages Tanya types = 4.5
The proportion to find how many pages Tanya would have typed (x), if Ingrid typed 11 pages would be as follows:
3 : 4.5 = 11 : x
Thus:
[tex] \frac{3}{4.5} = \frac{11}{x} [/tex]
Cross multiply
[tex] 3*x = 11*4.5 [/tex]
[tex] 3x = 49.5 [/tex]
Divide both sides by 3
x = 16.5 pages
Helpppp me plz thanks
Answer:
It’s 55
Step-by-step explanation:
180- 125=55
Answer:
This is a same side interior angle. I just learned this in class so don't blame me if your wrong, ur taking advice from a 4th grader dude.
Answer is: x
read the explanation lol
Step-by-step explanation:
So we know angle 3 and 4 is=180
7 and 8 =180
but 4 and 7 ALSO add up to 180, I think you can do this now. It's mental math.
Hint: 125+x=180
8lb ham for $9.60 or 6lb ham for $7.50
Answer:
if ur asking which is a better deal, then it's the 8 lb ham for 9.60
Step-by-step explanation:
Answer:
8lb ham for $9.60
Step-by-step explanation:
What is the slope of the line that contains these points?
x 9 13 17 21
y -24 -21 -18 -15
Answer: m=3/4
Step-by-step explanation:
Looking at the table given, we can assume two of the points are (9,-24) and (13,-21). To find the slope with given points, we use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We can plug the two points in and solve.
[tex]m=\frac{-21-(-24)}{13-9} =\frac{3}{4}[/tex]
Now, we know that the slope is 3/4.
Answer:
slope = 3/4
Step-by-step explanation:
Can y’all help give me the answer
what is the equation of the graph below?
Answer:
y = 3x + b
3x is the slope
y = 3x + 1 because 1 is the y intercept
Step-by-step explanation:
Answer:
y = 3x + 1
Step-by-step explanation:
You know the y intercept by looking where the line hits the y axis, which is at (0,1), so you know the "b" of the equation is 1. Then, you do rise over run. If you rise 3 and run 1, you get to another point, so I know the slope is 3/1 or 3.
The Quotient of 5 times a number and 7 is no more than 10.
Please help I have no idea what the answer is
Answer:
x = 25
Step-by-step explanation:
Answer:
x= 25
Step-by-step explanation:
Add 2 given sides then subtract 180
There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?
Answer:
0.06
Step-by-step explanation:
probability of multiple of 6= 0.2
probability of multiple of 4= 0.3
0.2 * 0.3 = 0.06
A car can travel 252 miles on 9 gallons of gasoline. How many gallons of gas
will it need to go 140 miles?
1
Answer:
5
Step-by-step explanation:
252/140=9/X
252x=1260
x=5