Answer:
27
Step-by-step explanation:
Of means multiply
60% * 45
Change to decimal form
.60* 45
27
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.
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The face that is shared with the rectangular prism is __.
The area of each base of the rectangular prism is __ square units.
The lateral area (excluding the shared face) for the rectangular prism is __ square units.
The total surface area of the composite figure will be __ square units.
The total surface area of the composite figure will be 134 square units.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
The dimensions of figure
Now,
The area of the shared face is already calculated as 20 square units. So, to find the total surface area, we subtract this from the sum of the surface areas:
TSA=(60+94)−20
TSA=154−20
TSA=134
Therefore, the area of the figure will be 134 square units.
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Answer: The face that is shared with the rectangular prism is
✔ 2(5)
.
The area of each base of the rectangular prism is
✔ 10
square units.
The lateral area (excluding the shared face) for the rectangular prism is
✔ 18
square units.
The total surface area of the composite figure will be
✔ 66
square units.
Step-by-step explanation:
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]
jeff rode his bike around the bike trail that was 1/2 of a mile long. he rode around the trail 9 times. how many miles did jeff ride?
Answer:
Jeff rode 4 1/2 miles
Step-by-step explanation:
a simple way to do this is divide 9 by 2 to get 4 1/2
Answer:
Step-by-step explanation:
If it is hard to multiply fractions, you can always convert it into decimal form.
1/2 is equivalent to 0.5
Since he went around the trail 9 times, you have to multiply 0.5 times 9 which equals 4.5.
That means Jeff rode 4 1/2 miles
Hope this helps!
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:
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
Two students are playing a game with a quarter and a spinner that is
divided into equal sixths, with the sections numbered 1 to 6. Each player
tosses the coin and spins the spinner. How many outcomes are possible
for the toss and spin? *
Answer:12
Step-by-step explanation:
Given
A quarter and a spinner is played simultaneously so
A quarter can show two outcomes i.e. head and tail
While spinner can show 6 outcomes from 1 to 6
So there can be [tex]2\times 6=12[/tex] possible outcomes
(H,1),(H,2) ,(H,3) ,(H,4) ,(H,5) ,(H,6) ,(T,1) ,(T,2) ,(T,3) ,(T,4) ,(T,5) ,(T,6)
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:
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%
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
Harry and Larry are having a barbecue dinner. The probability of Harry staining his shirt during the dinner is
1
5
5
1
start fraction, 1, divided by, 5, end fraction. The probability of Larry staining his shirt during the dinner is
1
5
%
15%15, percent.
Which of these events is more likely?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Harry stains his shirt during the dinner.
(Choice B)
B
Larry stains his shirt during the dinner.
(Choice C)
C
Neither. Both events are equally likely.
Answer:
A
Step-by-step explanation:
Answer:
Harry stains his shirt during the dinner.
Step-by-step explanation:
P (Harry stains his shirt during the dinner) [tex]=[/tex] [tex]\frac{1}{5}[/tex] [tex]= 0.2[/tex]
P (Larry stains his shirt during the dinner) [tex]= 15%[/tex]% [tex]= 0.15[/tex]
[tex]0.2 > 0.15[/tex]
It is more likely that Harry stains his shirt during the dinner.
Simplify the expression 3(x + 4)
What is the value of (5.3x10 to the power of 4)(4.2x10 to the power of 3) in scientific notation
Answer:
[tex] 2.226 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex](5.3 \times {10}^{4} )(4.2 \times {10}^{3} ) \\ = 5.3 \times 4.2 \times {10}^{4 + 3} \\ = 22.26 \times {10}^{7} \\ = 2.226 \times {10}^{8} [/tex]
Answer:C
Step-by-step explanation:
y=x^2-6x+7 from algebra nation
Answer:
Step-by-step explanation:
We
I had to give u a screenshot...here u go.
Find the solution to the system of equations: x + 3y = 7
and 2x + 4y = 8
Answer:
Point Form:
( − 2 , 3 )
Equation Form:
x = − 2 , y = 3
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Answer:
x = -2, y = 3
Step-by-step explanation:
x + 3y = 7
2x + 4y = 8
Make the x term the same for both equations by multiplying the first equation by 2.
Now you have two equations with the same x terms.
2x + 6y = 14
2x + 4y = 8
Take the larger equation from the smaller to remove the x terms from the equations.
2x + 6y = 14
-
2x + 4y = 8
2y = 6
y = 3
Put the known y term back into the equations to find the y term
3(3) + x = 7
9 + x = 7, x = -2
12 + 2x = 8
2x = -4, x = -2
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.
Which decimal is equivalent to 5/6 ?
A. 0.83
B. 0.83
C. 0.833
D. 0.56
Enter the next three terms in the geometric sequence. Round to the nearest tenth value.
36, 54, 81, 121.5, ...
Answer:
The next three terms of the sequence are 182.3, 273.5 and 410.3 respectively (all rounded to the nearest tenth value)
Step-by-step explanation:
A geometric sequence is one in which successive members are multiples of a constant common ratio.
From the sequence, we can identify that;
First term a = 36
common difference = 2nd term/first term = 3rd term/second term = 4th term/3rd term
Hence, common difference d = 54/36 = 81/54 = 1.5
The next three terms of the sequence are the 5th, 6th and 7th term respectively.
For the 5th term, we have 4th term × common ratio = 121.5 × 1.5 = 182.3
For the 6th term, we have 5th term × common ratio = 182.3 × 1.5 = 273.5
For the 7th term, we have 6th term × common ratio = 273.5 × 1.5 = 410.3
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
PLEASE HELP!!!!!!!!!!!! WILL GIVE CORRECT ANSWER BRAINLIEST!!!!!!!!!
the diagram below shows the rectangle LINT. Find the perimeter of the rectangle LINT. if entering your answer as a decimal, round your final answer to the nearest hundredth
(pls ignore the messy screen.)
Answer:Here
Step-by-step explanation:
Answer:
22.75
Step-by-step explanation:
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.
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
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
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
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
what 1256.64 rounded to the nearest tenth
Answer: The answer to this question is 1256.6
Answer:
1256.6
Step-by-step explanation:
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.
Graph the circle which is centered at (-5,1) and has a radius of 4 units
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.
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.
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