Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (5, 9)
d = [tex]\sqrt{(5-2)^2+(9-5)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
George has two different savings accounts. Savings Account A currently has $140 after one year. It earned 12% interest during that year. Savings Account B currently has $160 after one year. It earned 20% interest during that year. How much money in total did George have in the accounts at the beginning of the year?
Answer:
A= 125$ B=134
Step-by-step explanation:
Marble Slab Creamery is creating a cone-shaped paper wrapper for its new green Baby Yoda waffle cone. The wrapper should have a radius of 5 cm and a slant height of 10 cm. One location wants to offer the cones a weekend earlier, so they plan to make the cone-shaped wrappers for first 25 waffle cones sold that Saturday. About how many square cm of wrapper paper will they need? (Round up to the nearest cm.)
Answer:
3927 cm² wrapping paper will be required.
Step-by-step explanation:
Lateral surface area of a cone shaped wrapper = πrl
where, r = radius of the waffle cone
and l = slant height of the cone
It has been given in the question, radius 'r' = 5cm
and lateral height 'l' = 10 cm
Lateral surface area of the cone = π(5)(10)
= 50π
= 157.08 cm²
If they plan to make 25 waffles then wrapper paper required
= 25×157.08
= 3927 cm²
Therefore, 3927 cm² wrapping paper will be required.
What is the radius and diameter of the following circle?
14 cm
Radius
cm
Diameter
cm
Answer:
Radius = 7cm
Diameter = 14cm
Step-by-step explanation:
Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).
Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).
The line shown goes across the entire circle, so it is the diameter
Diameter = 14 m
The radius of a circle is half the length of the diameter.
r = [tex]\frac{d}{2}[/tex]
r = [tex]\frac{14}{2}[/tex]
r = 7 cm
This is why the radius is 7cm, and the diameter is 14cm.
Hope this helped!
A student has a container with a volume of 2.5 liters. He estimates the volume to be 2.6 liters. By what percent is the student's estimate off?
Answer: The student's estimate is off by
4%
Work out the area of a rectangle with base=32mm and perimeter=78mm
Answer:
224
Step-by-step explanation:
[tex]A = P[/tex] [tex]\frac{l}{2}[/tex]﹣[tex]l^{2}[/tex] = [tex]78[/tex] · [tex]\frac{32}{2}[/tex]﹣[tex]32^{2}[/tex] [tex]= 224[/tex]
A laptop is in the shape of a rectangular prism. The laptop has a length of 14 inches, a width of 10 inches, and a height of 1 inch. What is the volume of the laptop?
Answer:
140 inches
Step-by-step explanation:
The formula for volume or a rectangular prism is v=lwh
Length = 14
Width= 10
Height= 1
Multiplying them together gives you the volume which is 140
what 1256.64 rounded to the nearest tenth
Answer: The answer to this question is 1256.6
Answer:
1256.6
Step-by-step explanation:
Please help me with this ASAP
Answer:
1/5
Step-by-step explanation:
We need to fill in the circles; on the left, we need to put the number of students who play an instrument. That information is given: it's 25.
In the middle, we need the number of students who both play an instrument and speak a foreign language: again, we know that's 16.
On the right, we need the number of students who speak a foreign language; that's 30.
Finally, there are 9 students who participate in neither of these activities, so place "9" outside the circles but still in the rectangle.
See the attachment.
Probability is basically (# times specific event can occur) / (# times general event will occur). Here, the specific event is getting a student who plays an instrument and speaks a foreign language, which is 16. The general event is just selecting a student; since there are 80 total students, that number would be 80.
Our probability is thus:
16 / 80 = 1/5
Answer:
16/41
Step-by-step explanation:
Outside both: 9
Intersection (both): 16
0nly "Play instrument": 25
Only "Speak Foreign language": 30
Total: 80
P(Language/Instrument)
= n(both)/n(Instrument)
= 16/(25+16)
= 16/41
What does x equal ? Please help meeeeee
Answer:
19.66 or 19.7 units
Step-by-step explanation:
[tex]sin \: 24 \degree = \frac{8}{x} \\ \\ 0.4067366431 = \frac{8}{x} \\ \\ x = \frac{8}{0.4067366431} \\ x = 19.6687467 \\ x \approx 19.7 \: units \\ [/tex]
y=x^2-6x+7 from algebra nation
Answer:
Step-by-step explanation:
We
I had to give u a screenshot...here u go.
Suppose wellington pours 1/8 gallons from the remaining juice into a glass. He pours the same amount into more glasses until the pitcher is empty. How many glasses of juice will Wellington pour?
Answer: 7 glasses
Step-by-step explanation:
Hi, to answer this question, first, we have to subtract the amount of juice poured (1/8) to the amount of remaining juice before he poured some (1).
1-1/8 = 7/8 remaining juice
Since he pours the same amount into more glasses until the pitcher is empty, we have to divide the remaining juice (7/8) by the amount poured in each glass (1/8).
7/8 ÷ 1/8 = 7 glasses
Feel free to ask for more if needed or if you did not understand something.
Two candy stores are offering free same-sized candy bars to groups of friends. A group of six friends went to Sweet Dreams and received four candy bars to share. A group of seven friends went to Sugar Shack and received five candy bars to share. Both groups shared the candy bars equally among their members.
Each member in the group that went to the candy store named
received a larger portion of a candy bar because each member in the group got
of a candy bar.
Answer:
Each member in the group that went to the candy store named Sugar Shack
received a larger portion of a candy bar because each member in the group got 5/7 of a candy bar.
Step-by-step explanation:
Okay so first I am a visual learner so I drew a picture! I started with Sweet Dreams. I drew 4 candy bars and split each candy bar in 6 pieces. Each friend got 1/6 of each candy bar. This means if someone went to Sweet Dreams they got a total of 4/6 of a candy bar. Which is equivalent to 2/3. I then converted that into a decimal which is about .66 and then I went on to Sugar Shack. I then drew 5 candy bars split in 7ths. Each person got a seventh out of each candy bar. This means they got a total of 5/7. I then converted that into a decimal which is about .714. Since .71 is greater than .66 that means people at Sugar Shack got a larger portion. Hope this helps!!! Good luck on the assignment!
Each member in the group that went to the candy store named Sugar Shack received a larger portion of a candy bar because each member in the group got 0.71 of a candy bar.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given:
Two candy stores are offering free same-sized candy bars to groups of friends.
Both groups shared the candy bars equally among their members.
A group of six friends went to Sweet Dreams and received four candy bars to share.
That means,
the share of one member = 4/6 = 2/3 or 0.67
A group of seven friends went to Sugar Shack and received five candy bars to share.
That means,
the share of one member = 5/7 = 0.71.
Therefore, each member in the group got 0.71 of a candy bar.
To learn more about the fractions;
https://brainly.com/question/10354322
#SPJ2
PLEASE ANSWER ASAP!
Five tickets to a carnival cost $45. How much would seven tickets cost?
Answer: it will cost 63
Step-by-step explanation:
Since 5 times 9 is 45, I’ve assumed that the tickets cost 9 dollars, hence 7 times 9 equals 63
Which decimal is equivalent to 5/6 ?
A. 0.83
B. 0.83
C. 0.833
D. 0.56
Graph the circle which is centered at (-5,1) and has a radius of 4 units
The table shows the scores for three teams over five games.
Team A
Team B
Team C
56
65
45
48
32
30
29
60
45
48
32
45
59
28
82
Which team has the mode with the highest score?
Select from the drop-down menu to correctly complete the statement.
has the mode with the highest score.
PLEASE HELP!
Answer:
Team A-
Modes are alike numbers.
Team A had two 48s
Team B had two 32s
and Team C had three 45s
48 is the highest number
Step-by-step explanation:
i answerd it right on e d g e n u i t y
round 462 to the nearest 100.
Answer:
462 to the nearest hundred is 500
So your answer is 500
Step-by-step explanation:
Mark as brainliest please
Answer:
500
Step-by-step explanation:
the mean of 8 numbers is 12. Five of the numbers are 6, 8, 5, 10 and 28. The remaining 3 numbers are each equal to k. Find
(i) The sum of the 8 numbers
(ii) The value of k
Answer:
(i) 96
(ii) k = 13
Step-by-step explanation:
(i)
numbers averaged x Average of the numbers = Total of all of the numbers
8 x 12 = 96
(ii)
6 + 8 + 5 + 10 + 28 + 3k = 8 x 12
57 + 3k = 96
3k = 39
k = 13
Please help!!!
find the median, first quartile, third quartile, and interquartile range of the data.
12, 31, 9, 20, 36, 5, 22
and
63, 68, 58, 77, 50, 49, 63, 73
Answer:
Part 1) 12, 31, 9, 20, 36, 5, 22
Sort the data:
5, 9, 12, 20, 22, 31, 36
Median: 20
First Quartile: 9
Third Quartile: 31
IQR: 31 - 9 = 22
and
Part 2) 63, 68, 58, 77, 50, 49, 63, 73
Sort the data:
49, 50, 58, 63, 63, 68, 73, 77
Median: (63÷63)/2 = 63
First Quartile: (50+58)/2 = 54
Third Quartile: (68+73)/2 = 70.5
IQR: 70.5 - 54 = 16.5
Penelope invested $6650 into theee investment accounts, earning 8%, 12.5%, and 7.5% simple interest per year. If the annual interest earned totaled $671.25 and the amount invested at 12.5% was $300 more than twice the amount invested at 8%, find the amount invested into each account.
Answer: $1500 was invested in the account earning 8%.
$3300 was invested in the account earning 12.5%.
$1850 was was invested in the account earning 7.5%.
Step-by-step explanation:
Let x represent the amount invested in the account earning 8%.
Let y represent the amount invested in the account earning 12.5%.
Let z represent the amount invested in the account earning 7.5%.
Penelope invested $6650 into theee investment accounts, earning 8%, 12.5%, and 7.5% simple interest per year. It means that
x + y + z = 6650- - - - - - - - - - -1
Interest earned from the $x investment is
8/100 × x = 0.08x
Interest earned from the $y investment is
12.5/100 × x = 0.125y
Interest earned from the $z investment is
7.5/100 × x = 0.075z
If the annual interest earned totaled $671.25, it means that
0.08x + 0.125y + 0.075z = 671.25- - - - - - - 2
The amount invested at 12.5% was $300 more than twice the amount invested at 8%. It means that
y = 2x + 300
Substituting y = 2x + 300 into equation 1 and equation 2, it becomes
x + 2x + 300 + z = 6650
3x + z = 6650 - 300
3x + z = 6350- - - - - - - - - 4
0.08x + 0.125(2x + 300) + 0.075z = 671.25
0.08x + 0.25x + 37.5 + 0.075z = 671.25
0.33x + 0.075z = 671.25 - 37.5
0.33x + 0.075z = 633.75- - - - - - - 5
From equation 4, z = 6350 - 3x
Substituting z = 6350 - 3x into equation 5, it becomes
0.33x + 0.075(6350 - 3x) = 633.75
0.33x + 476.25 - 0.225x = 633.75
0.33x - 0.225x = 633.75 - 476.25
0.105x = 157.5
x = 157.5/0.105
x = 1500
y = 2x + 300
y = 2(1500) + 300
y = 3300
Substituting x = 1500 and y = 3300 into equation 1, it becomes
1500 + 3300 + z = 6650
z = 6650 - 4800
z = 1850
One month Jane rented 5 movies and video games for a total of .$34 The next month she rented 2 movies and video games for a total of .$73 Find the rental cost for each movie and each video game.
Answer: each movie costs $6.80, each game costs $29.7
Step-by-step explanation:
First to find the movie cost i divided 34/5, and it gave me an answer of 6.80, then i multiplied 6.80 by 2 because it said you bought 2 movies along with 2 video games, 6.80 times 2 is 13.6. afterwards i subtracted, 73-13.6, my answer was 59.4, later i divided that by 2, and each game is $29.7, and each movie is $6.80
01) Solve for x the equation 5x - 3=12*
O
x=1
O
x=3
O x=5
O x=7
x=3
Step-by-step explanation:
five time three is fifteen minus three is twelve.
x=3 is the solution to the equation 5x - 3 = 12.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
To solve for x in equation 5x - 3 = 12, we need to isolate x on one side of the equation.
First, we can add 3 to both sides of the equation:
5x - 3 + 3 = 12 + 3
Simplifying the left-hand side:
5x = 15
Next, we can divide both sides of the equation by 5:
5x/5 = 15/5
Simplifying the left-hand side:
x = 3
Therefore, the solution to the equation 5x - 3 = 12 is x = 3.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
#SPJ7
if point a is located at -8 on a number line and point b is located at 3 on the same number line, what is the distance between a and b?
Answer:
11
Step-by-step explanation:
-8 is 8 spaces away from 0 and 3 is 3 spaces away from zero so you add 8 and 3 and get 11.
Which expression is equivalent to (8k - 6) - (5k + 4)
Answer:
3k -10
Step-by-step explanation:
8k - 6 -5k -4 = (8-5)k -(6+4) = 3k -10
The expression (8k - 6) - (5k + 4) is equivalent to the expression 3k - 10.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ (8k - 6) - (5k + 4)
Simplify the expression, then the value of the expression will be
⇒ (8k - 6) - (5k + 4)
⇒ 8k - 6 - 5k - 4
⇒ 3k - 10
Then the expression (8k - 6) - (5k + 4) is equivalent to the expression 3k - 10.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ2
Question 7
4 pts
Assuming that the Earth is a sphere of radius 4000 miles, find the
distance between the following two cities whose latitudes are given.
You may assume that these cities are on the same basic longitude.
Cincinnati, Ohio (39° 8' 46" N) and Huntsville, Alabama (34° 43'41"N)
Next >
Answer:
308.4miles
Step-by-step explanation:
Given that radius of earth= 4000miles
Change in latitude = 39° 8' 46" - 34° 43'41"
= 4° 25' 5"
= 4+25/60+5/3600
4+0.4166+0.00138
θ = 4.417°
Converting to radian = 4.417°×π÷180
= 4.417×0.0174
= 0.07710
Distance between the cities = rθ
S = 4000×0.07710
S= 308.4miles
Final answer:
The distance between Cincinnati, Ohio and Huntsville, Alabama is calculated by first converting their latitudes to radians, finding the difference, and then using the arc length formula on a sphere (assuming both cities are on the same longitude). The estimated distance is approximately 308 miles.
Explanation:
The question is asking to calculate the distance between Cincinnati, Ohio and Huntsville, Alabama, assuming the Earth is a sphere with a radius of 4000 miles and that both cities are on the same longitude. To calculate the distance, we first convert the latitudinal degrees to radians and then use the formula for arc length on a sphere, which is:
Arc Length = radius times (latitude1 - latitude2)
Firstly, convert the latitudes from degrees, minutes, and seconds to decimal degrees:
Cincinnati, Ohio: 39 degrees, 8 minutes, 46 seconds N = 39 + (8/60) + (46/3600) = 39.1461° NHuntsville, Alabama: 34 degrees, 43 minutes, 41 seconds N = 34 + (43/60) + (41/3600) = 34.7281° NThen, convert the decimal degrees to radians:
Cincinnati: 39.1461° times (π/180) = 0.6832 radHuntsville: 34.7281° times (π/180) = 0.6062 radCalculate the difference in latitude in radians:
Difference in latitude = 0.6832 rad - 0.6062 rad = 0.077 rad
Finally, use the arc length formula:
Arc length = 4000 miles times 0.077 rad = 308 miles
Therefore, the distance between Cincinnati, Ohio, and Huntsville, Alabama, is approximately 308 miles.
Brahm has $250 in his bank account. This is $75 more than his brother, basil has in his bank account. Find the amount of money in basil’s account with an addition problem.
Answer:175
Step-by-step explanation:
250-75 is 75 I believe this is correct
A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the exact probability that all three marbles drawn
will be red?
Answer:
The exact probability that all three marbles drawn will be red is [tex]\frac{1}{56}[/tex]
Step-by-step explanation:
Number of red marbles = 5
Number of blue marbles = 4
Number of Green marbles = 7
Total Number of marbles = 5+4+7=16
We are given that three marbles are drawn out of the bag
Probability of getting 1 red marble on first draw=[tex]\frac{5}{16}[/tex]
Probability of getting 1 red marble on second draw= [tex]\frac{4}{15}[/tex]
Probability of getting 1 red marble on third draw=[tex]\frac{3}{14}[/tex]
So,the exact probability that all three marbles drawn will be red=[tex]\frac{5}{16} \times \frac{4}{15} \times \frac{3}{14}=\frac{1}{56}[/tex]
Hence The exact probability that all three marbles drawn will be red is [tex]\frac{1}{56}[/tex]
Final answer:
The exact probability of drawing three red marbles consecutively from a bag containing a mix of 16 marbles is 1 in 56, calculated by multiplying the probabilities of each draw without replacement.
Explanation:
The question asks for the exact probability that all three marbles drawn from a bag containing 5 red marbles, 4 blue marbles, and 7 green marbles will be red. To find this probability, we use the formula for conditional probability without replacement.
First, calculate the total number of marbles, which is 5 + 4 + 7 = 16 marbles. The probability of drawing a red marble first is 5 out of 16. Once a red marble is drawn, there are now 15 marbles left, and 4 of them are red. So, the probability of drawing a second red marble is 4 out of 15. Further, if a second red marble is drawn, there are now 14 marbles left, and 3 of them are red, making the probability of drawing a third red marble 3 out of 14.
The combined probability of all three events (drawing three red marbles in a row) happening is the product of their individual probabilities:
P(3 red marbles) = (5/16) * (4/15) * (3/14) = 60 / 3360 = 1/56
Therefore, the exact probability of drawing three red marbles in a row from the bag is 1 in 56.
if the points are connected what polygon is formed
In ΔRST, the measure of ∠T=90°, the measure of ∠R=64°, and RS = 5.8 feet. Find the length of ST to the nearest tenth of a foot.
Answer:
The length of ST to the nearest tenth of a foot is 5.2 ft
Step-by-step explanation:
Here we have
∡T = 90°
∡R = 64°
RS = 5.8 ft
To answer the question, we have apply sine rule as follows;
[tex]\frac{a}{Sin\alpha } = \frac{b}{sin\beta } = \frac{c}{sin\gamma}[/tex]
Therefore, for triangle RST, we will have;
[tex]\frac{RS}{SinT } = \frac{ST}{sinR } = \frac{RT}{sinS}[/tex]
Therefore;
[tex]\frac{5.8}{Sin90 } = \frac{ST}{sin64 }[/tex] from which
[tex]{ST}{ } = \frac{5.8 \times sin64}{Sin90 } = 5.213 \, ft[/tex]
Therefore, the length of ST to the nearest tenth of a foot = 5.2 ft.
Answer: 53 degrees
Step-by-step explanation:
Suppose triangle ABC is dilated with center (0,0) and scale factor 0.25, and the resulting image is then reflected in the x-axis to make triangle PQR. What are the coordinates of point P?
Coordinate of P, after the sequence of transformation is
(-1.25, -1)
How to find the coordinate of P
To find the coordinate of P we first establish that P is in corresponding position with A
Coordinate of A is (-5, 4)
Dilation by 0.25 will result to (-5 * 0.25, 4 * 0.25) → (-1.25, 1)
Reflection over the x-axis is done as follows
(-1.25, 1) → (-1.25, -1)