Answer:
1875 cm3
Step-by-step explanation:
20 * 20 * 5 - (5 * 5 * 5) = 1875 cm3
Answer:
1,875
Step-by-step explanation:
A grocery store recently sold a bag of peanuts for $0.76 and a bag of Pikachu's for $3.68 at the end of the day 50 bags of peanuts and Pikachu's were sold for a total of 128 point 52 how many bags of each were sold
Answer:
31 Pikachu bags were sold.
19 peanut bags were sold.
Step-by-step explanation:
Let's set up an equation of the total revenue of the day, where x is the number of Pikachu's sold.
We know that the number of Peanuts sold is 50-x (as the total needs to be 50)
We know that the total revenue is:
Number of Pikachus * Cost per Pikachus + Number of Peanuts * Cost per Peanuts
Using our definitions above:
Total Revenue = x * $3.68 + (50-x) * $0.76
We know that the revenue needs to be $128.52.
$128.52 = x * $3.68 + (50-x) * $0.76
Let's remove the $ signs.
128.52 = x * 3.68 + (50-x) * 0.76
Multiplying both 50 and -x with 0.76, "expanding" the parenthesis.
128.52 = x*3.68 + 50*0.76 - x*0.76
128.52 = x*3.68 + 38 - 0.76*x
Subtracting 38 from both sides
90.52 = 3.68*x - 0.76*x
We can simplify the right side.
90.52 = 2.92*x
We can divide both sides by 2.92:
31 = x
And flip it:
x = 31
So 31 Pikachus were sold (remember we claled that x), and as we know, the number of peanut bags sold is
50-x = 50-31 = 19
31 Pikachu bags were sold.
19 peanut bags were sold.
[tex] \LARGE{ \boxed{ \rm{ \pink{Solution:}}}}[/tex]
Let the number of peanut bags be x
Then, Number of pikachu bags = 50 - x
Given,
Cost of each peanut bag = $0.76Cost of each pikachu bag = $3.68Then,
⇛ Total cost he gets from peanut bag = $0.76 × x
⇛ Total cost he gets from pikachu bag = $3.68(50 - x)
According to question,
⇛ $0.76x+ $3.68(50 - x) = $128.52
Solving this equation,
⇛ 0.76x + 184 - 3.68x = 128.52 (Removed $ symbol)
⇛ 184 - 2.92x = 128.52
⇛ 184 - 128.52 = 2.92x
⇛ 55.48 = 2.92x
Flipping the equation,
⇛ 2.92x = 55.48
⇛ x = 55.48 / 2.92
⇛ x = 19
Then,
⇛ 50 - x = 50 - 19 = 31
[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: peanut \: bags = 19}}}}}[/tex]
[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: pikachu \: bags = 31}}}}}[/tex]
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I don't understand this question, somebody help
Answer:
H. 50 sq cm
Step-by-step explanation:
Triangle PSU is an equilateral triangle because each side of it is a radius of semicircle TRP. Also, the radius of semicircle TRP is the short side of the rectangle. So, if the total perimeter of the triangle is 15, each side is 5 cm. So, the short side of the rectangle is 5cm and the long side is 5*2 = 10 cm.
5 * 10 = 50 sq cm
An architect maps two buildings, which are located on a piece of land, onto a coordinate plane. He wants to build a wall at the diagonal AC to divide the piece of land into two parts. What will be the length of the wall? A. 65–√ units B. 6 units C. 237−−√ units D. 2 units
Answer:
[tex] 6\sqrt{5} units [/tex]
Step-by-step Explanation:
The length of the wall = diagonal AC = distance between point A (-6, -2) and point C (6, 4).
Distance formula between two points on a graph (d) = [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] A(-6, -2) = (x_1, y_1) [/tex]
[tex] C(6, 4) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(6 - (-6))^2 + (4 -(-2))^2} [/tex]
[tex] d = \sqrt{(6 + 6)^2 + (4 + 2)^2} [/tex]
[tex] d = \sqrt{(12)^2 + (6)^2} [/tex]
[tex] d = \sqrt{144 + 36} [/tex]
[tex] d = \sqrt{180} [/tex]
[tex] d = \sqrt{36*5} [/tex]
[tex] d = 6\sqrt{5} [/tex]
The length of the wall = [tex] 6\sqrt{5} units [/tex]
What is the distance between points A and B on the grid? (the grid is shown in the image). A. 3 units B. 4.5 units C. 5 units D. 5.5 units
=================================================
Explanation:
Since the x coordinates are the same, we can subtract the y coordinates to get
1.5 - (-3.5) = 1.5 + 3.5 = 5
Note how subtracting a negative is the same as adding.
-------
We can subtract in the other order
-3.5 - 1.5 = -5
but we need to make this result positive. A negative distance is not allowed. Absolute value is applied to make the result positive
|-5| = 5
Jerome currently has an account balance of $1,859.55. His initial deposit on the account was $825 and it earned 5.7% simple interest. How long has Jerome held the
account?
Answer:
22 years
Step-by-step explanation:
Well we know the formula for simple interest is
I = PRT
I = interest earned
P = initial balance
R = rate
T = time
We want to solve for time here....so rearrange for T
T= I/(PR )
We have
P = 825
R = .057
And I = current balance - initial balance = 1859.55 - 825 = 1034.55
So plugging all those in we have
T = 1034.55/(825×.057 )
T = 1034.55/47.025
T = 22
It was held for 22 years.
- The water rate for Columbus Ohio
is $1.98 per 750 gallons of water.
What is the water bill for a resident
who used 27,000 gallons?
Divide total amount used by the amount in the rate:
27,000 / 750 = 36
Multiply that number by the rate:
36 x 1.98 = 71.28
The bill is $71.28
find the x value for this problem
Answer:
x = 80
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
25+x = 105
Subtract 25 from each side
25+x-25 = 105-25
x = 80
Mathematics, probability and chance Can somebody help me, I always thank and vote
Answer:
A. 0
Step-by-step explanation:
In order for there to be a 1 in 3 chance, there would have to be an equal number of the three chalices. Since four is the smallest number, the other two must have four left as well. That means Donavan drank 1 spoiled milk and 2 flat sodas. Therefore, he drank 0 purified water.
asap please x÷7=11÷15help
Answer:
x = 77/15 or 5 2/15
Step-by-step explanation:
x/7 = 11/15
Multiply each side by 7
x/7 *7 = 11/15 *7
x = 77/15
We can leave as an improper fraction or change to a mixed number
15 goes into 77 5 times with 2 left over
5 2/15
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 77/15, 5 2/15, or 5.13
▹ Step-by-Step Explanation
x ÷ 7 = 11 ÷ 15
15x = 77
Divide both sides by 15:
x = 77/15, 5 2/15, or 5.13
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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Need help and show work please.
Answer:
B) 30
Step-by-step explanation:
Since ABCD is a parallelogram the diagonals bisect each others in their midpoint.
Wich means that BE = ED
● BE = ED
● (2/3)x = x-10
Substract x from both sides
● (2/3)x -x = x-10 - x
● (2/3) x - x = -10
Multiply x by 3 then ubstracr it from 2x
● (2x-3x)/3 = -10
● -x/3 = -10
Multiply both sides by -3
● (-x/3)×(-3) = -10 ×(-3)
● x = 30
*PLEASE ANSWER TY* A scale factor of 2 is applied to the dimensions of the prism. What effect will this have on the volume?
Answer:
The volume will be 8 times larger.
Step-by-step explanation:
Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8
The volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have a three-dimensional figure shown in the picture.
The scale factor = 3
As we know, the volume can be found:
Volume = length×width×height
Let the volume of the figure is A
Volume = A cubic in
If the scale factor is applied to the dimensions of the prism:
The volume:
Volume = (2)length×(2)width×(2)height
Volume = 2³(length×width×height)
Volume = 8A
Thus, the volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.
Learn more about the volume here:
https://brainly.com/question/16788902
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Randomly pick 5 points from a sphere. Show that you can always find a closed semi-sphere (half a sphere and boundary) that contains 4 points.
help me find VW and YZ
Answer:
VW=35
YZ=50
Step-by-step explanation:
As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:
2(4y+7)=12y-14
8y+14=12y-14
4y=28
y=7
So, VW=4(7)+7=35.
Similarly, you can find YZ through VT:
2(7x-17)=8x+2
14x-34=8x+2
6x=36
x=6
Therefore, YZ=8(6)+2=50.
5.4(m-2)= -2(3m+3) please help asap
Answer:
m = 0.421
Step-by-step explanation:
5.4(m-2)= -2(3m+3) (expand parentheses by distributive property)
m(5.4) -2(5.4) = 3m(-2) + 3(-2)
5.4m - 10.8 = -6m - 6 (add 6m to both sides)
5.4m - 10.8 + 6m = - 6
11.4m - 10.8 = - 6 (add 10.8 to both sides)
11.4m = -6 + 10.8
11.4m = 4.8 (divide both sides by 11.4)
m = 4.8 / 11.4
m = 0.421
Answer:
m = 8/19
Step-by-step explanation :
5.4 (m-2) = -2 (3m +3)
54/10 (m-2) = (3m +3) as n = 1
2.3^3 / 2.5 (m-2) = (3m + 3)
4.868 (m-2) = (3m +3)
4.868 + 3 = (3m^2 * m-2)
8 / 9.5 * 2
m = 8 / 19
The Greenbaum family agreed to pay for 3 months of an online TV service in exchange for a $5 credit on the bill each month. If the Greenbaums spend a total of $11.85 on the service over the 3 months, what is the normal price of one month of online TV service?
$5.00
$6.85
$8.95
$30.55
Plz help I’ll mark brainliest
Answer:
Step-by-step explanation:
Using Pythagoras Theorem, hypotenuse = 5
[tex]h = \sqrt{a^{2}+ b^{2}[/tex]
[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]
sin x = height / hypotenuse = 3 / 5
cos y = base / hypotenuse = 3 / 5
sin x = cos y = 3 / 5
Vertex Form y=a(x-h)^2+k what does each variable represent if they were in a problem.
can somewon help me plz i want help
Answer:
5 * 10^10.
Step-by-step explanation:
(9 * 10^10) - (4 * 10^10) = (9 - 4) * 10^10 = 5 * 10^10.
Hope this helps!
Answer:
5*10^10
Step-by-step explanation:
9 times ten is 9^10, and 4 Times 10^10 is 4^10 so 9^10 minus 4^10 is 50000000000 which is also called 5^10 which is also 5 x 10^10 I think. pls correct me if im wrong
Find the volume. Show work plz
Answer:
196π or 615.75 m^3 to the nearest hundredth.
Step-by-step explanation:
This is a cone, so:
Volume = 1/3 π r^2 h
= 1/3 * π * 14^2 * 3
= 196π m^3.
Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths
Answer: The answer is c
Step-by-step explanation:
What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers Interval:
Answer:
Step-by-step explanation:
There is a graph from minus infinity to y = -6.
The range is (-infinity, -6).
The domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The function is shown.
The domain of the graphed function will be given by observing the graph.
Then the domain will be (-∞, 8].
And the range of the graphed function will be given by observing the graph.
Then the range of the graphed function will be (-∞, -6].
Thus, the domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].
More about the domain and range link is given below.
https://brainly.com/question/12208715
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Which statements could he include in his explanation? Select two options.
The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0.
Answer:
The domain of fx is x>5
The domain of gx is x>5
The statements could he include in his explanation are
a. The domain of fx is x>5.
b. The domain of gx is x>5.
What is the function?A function is defined as a relationship between a set of inputs and a single output. A function is an input-output relationship in which each input corresponds to exactly one output.
A function is a sort of rule that generates a single output for a single input. The image was given by Alex Federspiel. A good example is y=x2. You will only get one output for y if you enter anything for x. We can say that y is a function of x because x represents the input value.
Both functions are real numbers, so, f(x) is x > 5 and g(x) is x > 5 will be correct.
Therefore, the correct options are, a. The domain of fx is x>5 and b. The domain of gx is x>5.
To learn more about the function, refer to the link:
https://brainly.com/question/28269290
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PLEASE HELP!!!!! I BEG OF EVERYONE. FIRST CORRECT WILL GET BRALIEST!!!!!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?
Answer:
32 miles/4 hours.
Step-by-step explanation:
Please answer and show steps. Will mark brainliest.
Answer:
13.4 meters
Step-by-step explanation:
About the diagram
Attached is a diagram of the problem. The directions North and East are shown so that the usual clockwise from +x measurement of angles will correspond to the bearing angles given in the problem. That is, the bearing of 120° is an angle of 120° measured from North toward East. (The mirroring across the line y=x can be a little mind-bending, but it is isomorphic, so all angles and lengths remain unchanged.)
The other feature of this diagram is the projection of the 3-D problem into two dimensions. Effectively, the center angle rabbit-O-coyote represents a plan view (in the plane of the ground), and the triangles coyote-O-C1 and rabbit-O-R1 represent side views (views in the vertical plane).
The side views let us work out the ground distances O-rabbit and O-coyote, so that we can find the ground distance rabbit-coyote as the problem requests.
__
Problem solution
The distance from the tree (O) to the rabbit is the "adjacent" leg of the 30° angle of elevation from the rabbit to the tree top. The 10 m tree height is the "opposite" leg of that rabbit-O-R1 right triangle. We know the ratio of opposite to adjacent sides gives the tangent of the angle, so we have ...
tan(30°) = 10/(rabbit distance from tree)
Solving for the rabbit distance, we get
rabbit distance = 10/tan(30°) ≈ 17.3205 m
Similarly, the coyote distance from the tree will be ...
coyote distance = 10/tan(20°) ≈ 27.4748 m
__
These are two legs of the rabbit-O-coyote triangle. The angle at O between the rabbit and coyote is 120° -97° = 23°. These values are sufficient to let us use the Law of Cosines to find the distance d from rabbit to coyote:
d² = r² +c² -2rc·cos(23°)
d² = 17.3205² +27.4748² -2·17.3205·27.4748·cos(23°) ≈ 178.769
d ≈ √178.769 ≈ 13.37 . . . . meters
The distance from the rabbit to the coyote is about 13.4 meters.
_____
Additional comment
Note that the angle of depression to the rabbit from the horizontal is the same as the angle of elevation from the rabbit. This lets us draw the diagram without a bunch of extra lines.
According to Newton's Second Law of Motion, the sum of the forces that act on an object with a mass m
that moves in an acceleration a is equal to m . a
An object whose mass in 80 grams has an acceleration of 20 meters per seconds square.
What calculation will give us the sum of the forces that act on the object, in Newtons (which are
kg.m/s2)?
Choose 1 answer.
A 80 . 20
B 80 . 1000 . 20
C 80/1000 . 20
D 80/602. 20
Answer: 80/1000 • 20
Answer:
Screenshots attached! Hope it helps :)
în 2017, the Pew Research Center published the results of a survey on gun ownership. A random sample of 3930 American
adults aged 18 years and older participated in this survey. Of these 3930 individuals, 1269 individuals reported that they
owned at least one gun. Of these self-reported gun owners, 850 said the reason they owned a gun was for protection. Based on
this information, determine the sample proportion, p, of gun owners from this survey who own a gun for protection.
(Use decimal notation. Give your answer to three decimal places.)
Answer:
The sample proportion, p, of gun owners who own gun for protection is 0.67
Step-by-step explanation:
The information given are;
The sample size = 3930
The number of individuals who reported that they owned guns at least on gun = 1269
The number of the self reported gun owners that said the reason they owned gun for protection = 850
The sample proportion, p, of gun owners who own gun for protection is given as follows;
p = (The number of the self reported gun owners that said the reason they owned gun for protection )/(The number of individuals who reported that they owned guns at least on gun)
p = 850/1269 = 0.6698 ≈ 0.670 (to three decimal places)
Therefore, the sample proportion, p, of gun owners who own gun for protection = 0.67.
What is the Mean Absolute Deviation?
Mean Absolute Deviation (MAD) is found through the following steps
1) Find the mean. We add up the values and divide by the number of items.
2) Subtract each value from the mean and apply absolute value to ensure the result is not negative. This tells us how far each value is from the mean. Call these sets of distances set D.
3) Find the mean of set D, using the idea talked about in step 1. This will produce the MAD.
PLEASE HELP PLEASE WILL MARK BRAINLY
Answer:
15, 5, 45, 10
Step-by-step explanation:
2 minutes for 10 photos
1 minute for 5 photos
now:
2×5=10
3×5=15
25÷5=5
9×5=45
50÷5=10
pls help this is from khan academy
Answer:
[tex]y=-3x+7[/tex]
Step-by-step explanation:
This is asking you to provide the equation is slope-intercept form:
[tex]y=mx+b[/tex]
In this equation, m is the slope of the line and b is the y-intercept (where the x value is 0).
By looking at the graph, we can find the y-intercept:
[tex]y-intercept=7\\\\m=7[/tex]
To find the slope of the line, you can count how many spaces it takes to go from one point to another. To do this, it's best to find an even point (1,4) and make your way to (0,7).
The slope is represented by [tex]\frac{rise}{run}[/tex] , where the rise is the change in the y-axis and the run is the change in the x-axis.
From (1,4) , move up (rise) as many spaces as it takes to get to the y-axis level of "7", which is 3 spaces. From here, move to the left (run) as many spaces as it takes to get to the x-axis level of "0", which is 1 space. Since you moved to the left, however, this means that the number will be a negative:
[tex]\frac{rise}{run}=\frac{3}{-1}=-\frac{3}{1}=-3[/tex]
The slope is -3.
Insert the information into the equation:
[tex]y=-3x+7[/tex]
:Done
Answer:
the desired equation is y = -3x + 7
Step-by-step explanation:
The y-intercept can be read directly from the graph: (0, 7).
Another point on the graph is (2, 1).
As we move from (0, 7) to (2, 1), we see x (the run) increasing by 2 and y (the rise) decreasing by 6. Thus the slope of this line is m = rise/run = -6/2, or -3.
Start with the slope-intercept form of the equation of a straight line, which is y = mx + b.
Then 1 = (-3)(2) + b; find b:
1 = -6 + b, or b = 7
Then the desired equation is y = -3x + 7.
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.
Answer:
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
Step-by-step explanation:
Required
[tex]2x - 6 \geq 6(x - 2) + 8[/tex]
Required
Determine the number line
[tex]2x - 6 \geq 6(x - 2) + 8[/tex]
Open the bracket
[tex]2x - 6 \geq 6*x - 6*2 + 8[/tex]
[tex]2x - 6 \geq 6x - 12 + 8[/tex]
[tex]2x - 6 \geq 6x - 4[/tex]
Collect Like Terms
[tex]2x - 6x \geq 6 - 4[/tex]
[tex]- 4x \geq 2[/tex]
Divide both sides by -4
[tex]\frac{- 4x}{-4} \geq \frac{2}{-4}[/tex]
[tex]x \leq -0.5[/tex]
From the list of given options, the correct answer is option C
Answer:
b
Step-by-step explanation: