Answers
Related Questions
Amanda, Ben, and Carlos share a sum of money. Their portions are in the ratio of 1:2:7, respectively. If Amanda's portion is $20, what is the total amount of money shared
Answers
Answer:
200
Step-by-step explanation:
If Amanda, Ben and Carlos share a sum of money in the portions of 1:2:7, that means that the minimum value is $20. So times 20 by the other probabilities and add them together.
Answer:$200
Step-by-step explanation:
20÷1=20
20×2=40
20×7=140
140+40+20=200.
Maria and Jeff collect data on the number of cars that pass through an intersection every Monday morning for 2 months. They record the findings as 78, 158, 63, 71, 56, 67, 75, and 64. They each use different methods to summarize the typical number of cars that pass through the intersection at the specified time and compare their findings. Jeff says that, on average, 79 cars pass through the intersection each Monday morning. Maria disagrees and says that the mean should not be used and uses the median instead to describe the typical number of cars that passes through the intersection on any given Monday morning.
A) What is the median value of the data?
Answers
Therefore the answer should be 71
Final answer:
The median value of the car counts recorded by Maria and Jeff is calculated by first ordering the data and then finding the average of the two middle numbers, leading to a median of 69 cars passing through the intersection.
Explanation:
The median is a measure of central tendency which is used when the data set has outliers or is not symmetrically distributed. To calculate the median of Maria and Jeff's data which includes the number of cars that pass through an intersection, we first need to arrange the data set in ascending order: 56, 63, 64, 67, 71, 75, 78, and 158. Since there are eight numbers, we take the average of the two middle numbers (67 and 71).
To find the median, we add 67 and 71 to get 138 and then divide by 2, which results in a median of 69 cars. Thus, according to Maria's method, on average, a typical number of cars that would pass through the intersection on a Monday morning would be 69.
Which choices are equivalent to the expression below? Check all that apply
Answers
Answer:
d
Step-by-step explanation:
Plot the image of point Q under the translation (x,y) (x+1,y+2).
Answers
Answer : Point “ Q “ should be on (-4,4) so go over 1 unit to the RIGHT & two units UP so your new points would be ( -3 , 6 ) hope this helps yw / btw .
Step-by-step explanation:
The image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)
How to plot the image of point Q under the translation?The translation is given as:
(x,y) -> (x+1,y+2)
The point Q is located at
(-4,4)
So, the image would be:
(x,y) -> (-4+1,4+2)
Evaluate
(x,y) -> (-3,6)
Hence, the image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)
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HELP PLEASE
Lee's living room is 7 yards wide and 7 yards long. He wants to install teal carpet that costs $2.00 per square yard. How much will it cost to buy enough carpet for the living room?
Answers
Answer:
98.00 Dollars
Step-by-step explanation:
7 x 7=49 square yards
49 x 2.00 = 98.00
Answer:
First find the area
7 x 7 = 49
every yard is $2
49 x 2 = 98
$98
Step-by-step explanation:
A box is 12 in, high, 24 in. long, and 8 in. wide. What is the longest poster you could fit in
the box? Use pencil and paper. Explain why you can only fit one maximum-length poster in the box
but you can fit multiple 26-in, posters in the same box.
Answers
The maximum length of the poster that can be put in the box is [tex]28in[/tex].
CuboidIn a cuboid, the longest dimension is the diagonal of the cuboid.
Diagonal = [tex]\sqrt{(length)^{2}+(width)^{2}+(height)^{2} }[/tex]
How to calculate the diagonal of a cuboid?Let, [tex]l=[/tex] the length of the cuboid
[tex]b=[/tex] the width of the cuboid
[tex]h=[/tex] the height of the cuboid
And [tex]d=[/tex] the diagonal of the cuboid
So, as per the formulae [tex]d=\sqrt{l^{2}+b^{2}+h^{2} }[/tex]
Assigning the given values,
[tex]l=24[/tex]
[tex]b=8[/tex]
[tex]h=12[/tex]
Now, calculate [tex]d[/tex] using the formulae,
[tex]d=\sqrt{24^{2}+8^{2}+12^{2}}=\sqrt{576+64+144}=\sqrt{784}=28[/tex]
Hence, the maximum length of the poster that can be put in the box is [tex]28in[/tex].
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The longest poster that fits in the box is 28 inches, matching the diagonal length. Multiple 26-inch posters fit due to the box's length of 24 inches.
To determine the longest poster that can fit inside the box, we need to find the length of the diagonal of the box, as this represents the maximum length a poster can have and still fit within the box.
Given dimensions of the box:
- Height (h) = 12 inches
- Length (l) = 24 inches
- Width (w) = 8 inches
We will use the formula for the diagonal ( d ) of a rectangular box:
[tex]\[ d = \sqrt{h^2 + l^2 + w^2} \][/tex]
Substitute the given values:
[tex]\[ d = \sqrt{12^2 + 24^2 + 8^2} \][/tex]
[tex]\[ d = \sqrt{144 + 576 + 64} \][/tex]
[tex]\[ d = \sqrt{784} \][/tex]
[tex]\[ d = 28 \text{ inches} \][/tex]
Therefore, the diagonal ( d ) of the box is 28 inches.
Now, the longest poster that can fit inside the box cannot exceed this diagonal length of 28 inches. Hence, the longest poster that can fit in the box is 28 inches in length.
Regarding why you can fit multiple 26-inch posters but only one 28-inch poster:
- The box is 24 inches long, so a 26-inch poster can fit along the length of the box without exceeding it.
- However, a 28-inch poster matches the diagonal length exactly, meaning it stretches from one corner of the box to the opposite corner, utilizing the maximum space available inside the box. Trying to fit more than one 28-inch poster would require overlapping or exceeding the box's dimensions, which is not possible.
In conclusion:
- The longest poster that can fit in the box is **28 inches** in length, corresponding to the length of the diagonal of the box.
- You can fit multiple 26-inch posters in the box because each poster fits within the length of the box without overlapping or exceeding the dimensions.
If P = (6,5) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x – 4)2 + (y - 3)2 = [?]
Answers
Answer:
(x – 4)^2 + (y – 3)^2 = 8
Step-by-step explanation:
The square of the diameter will be 4 times the square of the radius. The square of the diameter is the sum of squares of differences of coordinates of P and Q:
d^2 = |PQ|^2 = (2 -6)^2 +(1 -5)^2 = 16 +16
d^2 = 32
4r^2 = 32 . . . . . substitute 4r^2 for d^2
r^2 = 8 . . . . . . . divide by 4 to find r^2
The equation of a circle centered on (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The given equation tells us the center is (h, k) = (4, 3), so we need only fill in the value of r^2.
(x -4)^2 +(y -3)^2 = 8
A trapezoid was broken into a rectangle and two
triangles
The base of each triangle bis
The area of the rectangle is
The area of each triangle is
The area of the trapezoid is
LIT
Answers
Answer:
The base of each triangle B is: 2 ✓
The area of the rectangle is: 4 ✓
The area of each triangle is: 4 ✓
The area of the trapezoid is: 12 ✓
Step-by-step explanation:
Hope I helped, btw I'm following everyone who follows me! :)
What is the common ratio of the geometric sequence below?
625, 125, 25, 5, 1, ...
Answers
The common ratio of the geometric sequence 625, 125, 25, 5, 1, ... is 0.2, determined by dividing any term by the preceding term.
The common ratio of a geometric sequence is found by dividing any term by the previous term. In the given sequence 625, 125, 25, 5, 1, ..., to find the common ratio, we can divide the second term (125) by the first term (625), which gives us
[tex]= \frac{125}{625} \\=\frac{1}{5}[/tex].
This ratio is consistent throughout the sequence as each subsequent term is rac{1}{5} of the previous term. Hence, the common ratio for this geometric sequence is 1/5 or 0.2.
PLEASE HELP I DONT UNDERSTAND I WILL MARK BRAINLIEST 5STARS AND HEART
Answers
Answer:
TestTest
Test
Test
Test
Test
Test
Test
Test
Test
Test
Test
Test
Step-by-step explanation:
Test
Test
Test
Test
Test
Test
Which statement is true about the audience for On
Women's Right to Vote?
Anthony is trying to appeal to women, men, and
lawmakers
Anthony is trying to appeal to women only
Anthony is trying to appeal only to men who vote.
Anthony is trying to appeal to judges.
Answers
Answer:
The First option) Anthony is trying to appeal to women, men, and lawmakers.
Step-by-step explanation:
Just took the assignment.
Good luck with the rest!
Albert is building a table and 4 chairs. He will use 18 nails to build each chair and 42 nails to
build the table. He estimates that he will need roughly 180 nails. Does that sound about
right?
Yes.
No, it is much too high,
No it is much to low
Answers
Albert's estimate of 180 nails is much too high since the actual calculation shows that he only needs 114 nails for the table and four chairs.
Explanation:To determine if Albert's estimate of needing roughly 180 nails for building a table and 4 chairs is correct, we should calculate the total number of nails required for this project. For each chair, he will need 18 nails, and for the table, he will need 42 nails.
Therefore, the total number of nails needed for the chairs is:
18 nails/chair × 4 chairs = 72 nailsAnd the number of nails needed for the table is:
42 nailsAdding these together gives us:
72 nails + 42 nails = 114 nailsComparing this with Albert's estimate of 180 nails, we can see that his estimate is much too high.
What are the domain and range of f(x)=(1/6)x+2
Answers
Answer:
That should be right
Step-by-step explanation:
The domain of f(x) = (1/6)x + 2 is all real numbers, and the range is also all real numbers.
Explanation:The given function is f(x) = (1/6)x + 2.
The domain of a function is the set of all possible input values. In this case, since there are no restrictions on x, the domain is all real numbers.
The range of a function is the set of all possible output values. The function is a linear function with a positive slope, which means as x increases, f(x) also increases. Therefore, the range is also all real numbers.
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A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem is 4.83 inches. The height of the prism is 12 inches. What is the volume of the prism? Round your answer to the nearest whole number.
___cubic inches
Answers
Answer:
your fricked I don't even know this lolll
Answer:
927 Cubic inches
Step-by-step explanation:
Area of Octagon, using the formula for finding the area of regular polygons (A = 1/2 x apothem x perimeter): A= 1/2 x 4.83 x 4(8) -> A = 77.28
Then using the Area of the base , you then multiply it with the height, and you get your volume: 77.28 x 12 = 927 cubic inches
Solve the following equation algebraically
x^2=192
Answers
Answer:
13.8564
Step-by-step explanation:
The square root of 192 is about 13.8564 meaning that 13.8564^2≈192
Answer:
B -13.86, 13.86
Step-by-step explanation:
Edge
In isosceles △ABC with AC = AB, points D ∈ AB and E ∈ AC so that DB = EC. Point P is the intersection point of DC and EB, m∠ADC = 107°, m∠ABE = 45°. Find m∠BAP.
Please show work.
Answers
9514 1404 393
Answer:
14°
Step-by-step explanation:
∠ADP is an external angle to ΔDBP, so ...
∠ADP = ∠DBP + ∠DPB
107° = 45° + ∠DPB
∠DPB = 107° -45° = 62°
∠DPB is an external angle to isosceles triangle PBC, so ...
∠DPB = 2×∠PBC
62° = 2×∠PBC
∠PBC = 62°/2 = 31°
Of course, the angle sum theorem applies at vertex B, so ...
∠ABC = ∠ABP +∠PBC
∠ABC = 45° +31° = 76°
AP is the angle bisector of angle A, so, if extended to BC would be perpendicular to BC. Then ∠BAP is complementary to ∠ABC:
∠BAP = 90° -∠ABC
∠BAP = 90° -76°
∠BAP = 14°
Final answer:
m∠BAP = 124°
Explanation:
Given that △ABC is an isosceles triangle with AC = AB and DB = EC, we can conclude that △ADC and △AEB are congruent triangles by the Side-Angle-Side (SAS) congruence theorem. Therefore, m∠ADC = m∠AEB. Since m∠ADC = 107° and m∠AEB = 45°, we can write:
m∠ADC = m∠AEB
107° = 45° + m∠ABD
m∠ABD = 107° - 45°
m∠ABD = 62°
Since △ABD is isosceles with AB = AD, we have m∠ABD = m∠ADB. Therefore, m∠ADB = 62°. Since m∠BAP is an exterior angle of △ABD, we can apply the Exterior Angle Theorem to find:
m∠BAP = m∠ADB + m∠ABD
m∠BAP = 62° + 62°
m∠BAP = 124°
Solve the inequality 2(4x + 1) < 3(2x - 3)
Answers
Answer:
x<-11/2
Step-by-step explanation
Try to isolate the variable by dividing it.
2x < -17
x < - 8,5
Three solutions of the equation Ax + By = Cz - 14 are
(-3,- 3, 2), (4, 1, -13), and (6.-2, -9). Find A, B, and C.
Answers
for extra space
Represent the espression “A number, x, decreased by the sum of 2x and 5” algebraically.
Answers
HELP PLEASE!
Which shows a correct way to determine the volume of the right rectangular prism?
4 cm
6 cm
13 cm
O 3+6 + 4 = 13 cm
2(3 + 6 + 4) = 26 cm
4(3) + 6 = 18 cm
3(6)(4) = 72 cm
Answers
Answer:
3(6)(4) = 72 cm
Step-by-step explanation:
The volume of a rectangular prism = Length * Width * Height
Substitute your values into the equation and solve for V
V = 3 * 6 * 4
V = 72 [tex]cm^{2}[/tex]
Answer:
d.72
Step-by-step explanation:
volume = area of base *height = 4*3 * 6
Evaluate the expression. 5^0*5^3
Answers
Answer:
125
Step-by-step explanation:
i had this question and it said it was right so..
An astronomer knows the distances from herself to stars A and B as well as the distance between them.
The distances are 450, 400, and 90 light years (1.y.) respectively.
If the astronomer's telescope is currently pointed at star A. how many degrees must she rotate her
telescope to see star B?
Do not round during your calculations. Round your final answer to the nearest degree,
B
90
400 l.y.
Astronomer
450 l.y.
Answers
Answer:
see attachement
Step-by-step explanation:
what is the probability of flipping two coins and both landing on heads
Answers
Answer:
The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25. The second useful rule is the Sum Rule.
Which question is statistical?
What number of feet is equivalent to three miles?
How many miles did your family drive last week?
How many miles are between the library and the post off
How many miles does each member of the biking club ri
Answers
Answer:
How many miles does each member of the biking club ri de>
Step-by-step explanation:
This question is statistical, because 1) it provides a thing for you to study (how many miles does each member ride, as well as 2) provides (hopefully) enough respondents (the members of the biking club) that it will not skew the statistics.
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For which equation is (4, 3) a solution?
O y=2x-1
Oy=3x-4
Oy=2x-5
Oy= x + 3
Answers
Answer:
Given question is incomplete; here is the complete question.
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?
y = –1/3x + 5
y = –1/3x + 3
y = 3x + 2
y = 3x − 5
Line given in the graph passes through the points (-3, 2) and (0, 1).
Slope of the given line =
m =
m =
Let the equation of a line perpendicular to this line is,
y - y' = m'(x - x') [Given line passes through (x', y')]
By the property of perpendicular lines,
m × m' = -1
() × m' = -1
m' = 3
Equation of the perpendicular line will be,
y - 4 = 3(x - 3)
y - 4 = 3x - 9
y = 3x - 5
Option (4) will be the answer.
Step-by-step explanation:
The Equation whose solution is (4, 3) is y = 2x - 5
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
we have to put x= 4 and y= 3 in each equation.
1. y= 2x- 1
2x- 1 = 2(4)- 1 = 8- 1 = 7
y = 3
2. y = 3x - 4
3x - 4= 3(4) - 4 = 8
y= 3
3. y = 2x - 5
2x- 5 = 2(4) - 5 = 3
y= 3
4. y = x+ 3
x+ 3 = 4 + 3 = 7
y= 3
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Place the circles in order from the circle with the largest area to the circle with the smallest area.
a circle with a
diameter of
8 meters
a circle with a
radius of
7 meters
a circle with a
circumference
of 37.68 meters
a circle with a
diameter
of 16 meters
Answers
Answer:
a circle with a diameter of 16 meters largest
a circle with a circumference of 37.68 meters
a circle with a radius of 7 meters
a circle with a diameter of 8 meters
Step-by-step explanation:
a circle with a diameter of 8 meters
The radius is 8/2 = 4
A = pi r^2 = 3.14 * 4^2 = 50.24 m^2
a circle with a radius of 7 meters
A = pi r^2 = 3.14 * 7^2 = 153.86 m^2
a circle with a circumference of 37.68 meters
C = 2*pi*r
37.68 = 6.28r r =6
A = 3.14 (6)^2 =113.04
a circle with a diameter of 16 meters
r = d/2 = 8m
A = pi r^2 = 3.14 (8)^2 = 200.96 m^2
Answer:
a circle with a diameter of 16 meters
a circle with a radius of 7 meters
a circle with a circumference of 37.68 meters
a circle with a diameter of 8 meters
Step-by-step explanation:
a circle with a
diameter of
8 meters
A = pi × (8/2)² = 16pi
a circle with a
radius of
7 meters
A = pi × 7² = 49pi
a circle with a
circumference
of 37.68 meters
C = 2pi × r
37.68 = 2pi × r
r = 18.84/3.14 = 6
A = pi × 6² = 36pi
a circle with a
diameter
of 16 meters
A = pi × (16/2)² = 64pi
Please help me I don’t understand
Answers
Answer:
I think it's a or d I think
A kangaroo hop 3520 yards to the lake with her baby in her pouch shop the remaining 5280 hours without her baby in her pouch how many miles did the kangaroo hop to the lake
Answers
Answer:
The kangaroo hopped a total of 5 miles to the lake.
Explanation:
To convert yards to miles, we can use the conversion factor that 1 mile is equal to 1760 yards.
So, to find out how many miles the kangaroo hopped to the lake, we first sum the distance with and without the baby in her pouch:
Total distance = Distance with baby + Distance without baby
Total distance = 3520 yards + 5280 yards
Total distance = 8800 yards
Now, we convert this total distance to miles:
Total distance in miles = Total distance in yards / 1760 yards/mile
Total distance in miles = 8800 yards / 1760 yards/mile
Total distance in miles = 5 miles
Therefore, the kangaroo hopped a total of 5 miles to the lake.
A cheetah can run 56 miles per hour. At that rate, a cheetah can run 27 miles in 15 minutes.
True
False
Answers
Answer:
false, they can run 14 miles in 15 minutes
Step-by-step explanation:
56 divide by 4 = 14
60 divided by 15 = 4
evaluate the expression for s=9
72/s
Answers
Answer:
8
Step-by-step explanation:
72/s
Let s=9
72/9 = 8