Let the smaller piece be x .
Then the larger angle will be = 3x
An equation to find the length of each of the two pieces :-
[tex]x + 3x = 112[/tex]
[tex]4x = 112[/tex]
[tex]x = \frac{112}{4} [/tex]
[tex]x = 28[/tex]
Which means :-
Length of the shorter piece = 28 inches
Length of the larger piece = 28 × 3 = 84 inches
Therefore , the length of the shorter piece = 28 inches .
9(m +5) - 3(m - 2) = 8m + 31
Answer:
m=10
Step-by-step explanation:
Answer:
m=10
Step-by-step explanation:
9(m+5)−3(m−2)=8m+31
Step 1: Simplify both sides of the equation.
9(m+5)−3(m−2)=8m+31
9m+45+−3m+6=8m+31
(9m+−3m)+(45+6)=8m+31(Combine Like Terms)
6m+51=8m+31
Step 2: Subtract 8m from both sides.
6m+51−8m=8m+31−8m
−2m+51=31
Step 3: Subtract 51 from both sides.
−2m+51−51=31−51
−2m=−20
Step 4: Divide both sides by -2.
m=10
Hope this helps girly!!
Answer ASAP please ?
Answer:
f(x)= (x+2)²
= x²+4+2x
then f(3) = 3²+4+2*3
= 9+4+6
add up the sum and here's your ans
The Hoffman family has bought one pizza on Friday night every week for the last 10 years.
How many pizzas have they bought on Friday nights?
Answer:
520
Step-by-step explanation:
Figure ABCDE was reflected across the line y = x to create figure A'B'C'D'E'. What are the coordinates of the pre-image of E'?
Answer:
-2, 6
Step-by-step explanation:
if Figure ABCDE was reflected across the line y = x to create figure A'B'C'D'E' then (6, -2) are the coordinates of the pre-image of E'.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
It's a common type of problem in algebra, specifically the modification of algebraic equations.
ABCDE was reflected across the line y = x to create figure A'B'C'D'E'.
The coordinates of the pre-image of E' are (6, -2)
Hence, coordinates of the pre-image of E' are (6, -2)
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In 2011 the population in the United States was 3.1 x 108 . The population in Canada was 3.38 x 107 . Find the total population of these countries. Write your answer in scientific notation.
Answer:
3.348 × 10^2 US
3.6166 × 10^2 CA
Step-by-step explanation:
3.1 x 108= 3.348 × 10^2 US
3.38 x 107= 3.6166 × 10^2 CA
The Hansons are having a well built in their backyard. On Monday, 175 feet of the well was dug, and another 165 feet was dug on Tuesday. How many feet below ground was the well dug, expressed as an integer The Answer would be 10.35
Answer:
340 feet
Step-by-step explanation:
To get the number of feet, we simply make an addition of the number of feet dug on both days
The total will be 175 feet + 165 feet = 340 feet
Susan made 168 cupcakes and gave some to her 21 students.
She then had 1/2 of her cupcakes left. On average, how many
cupcakes did she give to each of the 21 students?
Answer:
4
Step-by-step explanation:
Rubi works at a party-planing company and makes $7.50 per hour. Her weekly paycheck also inclides a $5 bonus for every party she schedules. Her $265 paycheck last week was for 30 hours. How many parties did she schedule? Explain how you found you're answer.
Answer:
8 parties
Step-by-step explanation:
First, find how much of her paycheck was from working 30 hours:
7.50(30)
= 225
Then, subtract this from 265, to find how much money was from bonuses:
265 - 225
= 40
To find how many parties she scheduled, divide 40 by 5, since each party she schedules gives her a $5 bonus:
40/5
= 8
So, she scheduled 8 parties
Use single digits times a power of 10 to estimate the number 0.00005423
Answer: 5.423 × 10^-5
(pls i need help fast i know nothing about football )The Red team score the following number of points in their last 5 games, 36 points, 30 points, 24 points, 12 points, and 18 points.
What is the mean (average) number of points they scored each game.
a
32 points
b
30 points
c
24 points
d
18 points
Answer:
c
Step-by-step explanation:
You add up all of the points and divide by 5.
Suppose a basketball player has made 291 out of 389 free throws. If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50. Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
The expected value of the proposition is -$0.76.
Step-by-step explanation:
It is provided that a basketball player has made 291 out of 389 free throws.
Then rate of him making a free throw is,
[tex]P(\text{free throw})=\frac{291}{389}=0.7481[/tex]
The probability that he makes the next 2 free throws is:
[tex]P(\text{Next 2 free throws})=(0.7481)^{2}=0.5596[/tex]
The payout rules are:
If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50.Compute the expected value of the proposition as follows:
Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)
[tex]=($38\times 0.5596)+(-$50\times (1-0.5596))\\=21.2648-22.02\\=-0.7552\\\approx -$0.76[/tex]
Thus, the expected value of the proposition is -$0.76.
When a number is doubled and then increased by 20, the result is 5 less than 3 times the number. What is the number?
Answer:
2x+20=3x-5 (x=25)
Step-by-step explanation:
2x+20=3x-5
-2x+5
25=x
hope this helps ( a brainliest would be nice too)
The number is equal to 25.
Let the number be n.To write the word problem as an algebraic equation:
In this exercise, we are required to translate the word problem into a mathematical (algebraic) expression and solve for the unknown variable (number):
Translating the word problem into an algebraic expression, we have;
A number is doubled and then increased by 20:
[tex]2n + 20[/tex] ...equation 1.
The result is 5 less than 3 times the number:
[tex]3n -5[/tex] ...equation 2
Equating the two equations, we have:
[tex]2n+20=3n-5\\\\3n-2n=20+5\\\\n=25[/tex]
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the population of China is about 1.4 x 10 to the power of 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julie's hometown? Please answer this in scientific notation.
Answer:
2 x 10⁵ is the answer I believe.
Answer:
2 x 10^5Step-by-step explanation:
Given
Population of China = 1.4 x 10^9Population of town = 7000 = 7 x 10^3The difference in population
1.4 x 10^9 / 7 x 10^3 = 14 x 10^8 / 7 x 10^3 =2 x 10^5A product 3z squared, increased by 10
Answer:
(3z)^2 +10
Step-by-step explanation:
Solve x2 = −169. Thank youuuuuuuuuuu
Answer:
x=-84.5
Step-by-step explanation:
Why is it better to use the metric system, rather than the English system, in scientific measurement?
The English system uses one unit for each category of measurement.
The metric system uses one unit for each category of measurement.
The English system uses consistent fractions that are multiples of 10.
The metric system utilizes a variety of number conversions.
Answer:
b
Step-by-step explanation:
It is better to use the metric system, rather than the English system, in scientific measurement because,
The metric system uses one unit for each category of measurement.
What is a metric system?A system of measurements is called the metric system. It is employed in calculations and research across the globe.
Measurements for length include millimeters (mm), decimeters (dm), centimeters (cm), meters (m), and kilometers (km).
A foot equals 30.48 cm, however, a popular 30 cm rule measures every 1 cm, therefore the metric system also provides more exact measurements.
The English system is in fact based on the metric system because they look for reference materials to get the measurements.
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When the transformation (x,y) → (x + 10, y + 5) is
performed on point A, its image, point A', is on the origin
What are the coordinates of A? Justify your answer.
Answer:
its 3.05
Step-by-step explanation:
The coordinates of A will be at (-10, -5) when the transformation (x,y) → (x + 10, y + 5) is performed on point A.
Given the coordinate of the resulting image after the transformation is A'(0, 0). We need to get the coordinate of the original image A.
Since the transformation (x,y) → (x + 10, y + 5) is performed on A.
A = (0 - 10, 0 - 5)
If we are going from the pre-image to the image, we will translate to the left and downwards
A = (-10, -5)
Hence the coordinates of A will be at (-10, -5)
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__ = 4
22 8
Anybody know???
A student pushes a the same cart with the same 50N of Force over the same distance of 10m, but on this occasion was timed in 5s by their parents who were in a hurry to get home. What was their power? *
Answer:
100W
Step-by-step explanation:
Power = Work done / time
Work done = force × distance
given,
force = 50Ndistance = 10mtime = 5sWork = 50 × 10
Work = 500J
Power = 500 / 5
Power = 100W
I need help with this please
Answer:
the bottom answer choice : segment TD
Step-by-step explanation:
Hello.
We know that ΔSJL ≅ ΔDMT
∠S ≅ ∠D
∠J ≅ ∠M
∠L ≅ ∠T
__ __
So the segment LS corresponds to segment TD
Help me please! I’ve been stuck on this forever:(
Positive
( -1/6 ) ( -2 ) ( -3/5 ) ( -9 )
( 3 ) ( -3 ) ( -3 ) ( -3 ) ( -3 )
( -2 3/4 ) ( -1 1/5 )
----------------------------------------------------------------------------------------------------------------
Negative
( -4/9 ) ( 7/4 )
( -4/7 ) ( -3/5 ) ( -9 )
( -10/7 ) ( 8/3 )
----------------------------------------------------------------------------------------------------------------
Hope this helps! <3
Figure A h Figure B What is the scale factor from Figure A to Figure B?
Answer:
figure a?
Step-by-step explanation:
I really don't know the answer to this i would need more information
Which of the following is a line perpendicular
to y = 3x-7?
Answer:
y=-1/3x-7
Step-by-step explanation:
Change the sign of x and flip the slope. 3/1 equals -1/3.
Jessica bought 4 packages of birthday invitations for 16.95 per package including tax each package contained 12 birthday invitations one stamp coast 0.44 she plans to split the cost evenly with her mother how much money will Jessica mother need to give to Jessica
Answer:
Jessica's mum will give her 44.46
Step-by-step explanation:
To solve this, we will first of all need to get the total cost of sending the birthday invitations across. After that, we can now split the cost into two.
Cost of sending birthday invitations:
Package cost = 16.95
Number of packages bought = 4
total sum spent on packages = 4 X 16.95 = 67.8
Each package contains 12 invitations.
There are 4 packages.
Total number of invitations = 12 X 4 = 48 invitations
One stamp cost 0.44.
Putting stamps on all 48 invitations will cost 0.44 X 48 = 21.12
Therefore the total cost will be the total sum spent on packages +the total sum spent on stamps = 67.8 + 21.12 = 88.92
Her mum has agreed to pay half of this cost which is 88.92 / 2 = 44.46
A basketball team played six games. In those games, the team won by 8 points, lost by 11, won by 7, won by 11, lost by 4, and won by 13. What was the mean difference in game scores over the six games?
Mean =sum of observations/ no.of observations
Mean=8+11+7+11+4+13/6
=54/6
mean=9
The mean difference in the game scores over six games is 2.5
What is mean difference?The mean difference measures the absolute difference between the mean value in two different groups.
Given is a basketball team which played six games such that in those games, the team won by 8 points, lost by 11, won by 7, won by 11, lost by 4, and won by 13 respectively.
The mean difference of the given data can be calculated using the following formula -
Mean Difference = (∑W / n) - (∑L / n)
Where -
(∑W / n) is the mean of games won.
and
(∑L / n) is the mean of games lost.
(∑W / n) = (8 + 7 + 11 + 13)/4 = 9.75
and
(∑L / n) = (11 + 4)/2 = 15/2 = 7.5
Mean difference = (∑W / n) - (∑L / n) = 9.75 - 7.5 = 2.5
Therefore, the mean difference in the game scores over six games is 2.5
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There are 4 white and 8 red roses in a bouquet. Find the ratios.
1b). The ratio of the numbers of red roses to the number of all roses
Answer:
1a) 1:2
1b) 2:3
Step-by-step explanation:
1a) 4:8 = 1:2
1b) 4 white and 8 red means 12 total so ratio for red would be 2:3
Answer:
1 ÷ 22 ÷ 3Step-by-step explanation:
Given4 white and 8 red rosesTo findRatios of rosesSolutionRatio of white roses to red roses
4 ÷ 8 = 1 ÷ 2Ratio of red to all
Sum of roses
4 + 8 = 12Ratio
8 ÷ 12 =2 ÷ 3UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound.
How many pounds, p, will it take for UPS and FedEx to cost the same? What is the cost? Write and solve an equation to show your work.
Answer:19.5
Step-by-step explanation:
7+7=14
14+0.20=14.2
14.2+5=19.2
19.2+0.30=19.5
Your answer is:19.5
How much simple interest would $940 earn in 15 months at an interest rate of 2.99%?
Answer:
$975.13
Step-by-step explanation:
tias age is d years while dias age is (d-6) . in ten years dias age will be two-thirds tias age.find dias present age?
Answer:
Dia's age is 6.
Step-by-step explanation:
Tia's age= d
Dia's age= d-6
Therefore, after 10 years,
Dia's age= 2/3 Tia's age
Hence,
d-6+10=2/3(d+10)
d+4=2/3(d+10)
3/2(d)+4=d+10
3/2(d)-d=10-4
3d/2-2d/2=6
d/2=6
1/2(d)=6
d=6×2
d=12
Therefore,
Dia's age=d-6
=12-6
=6 yrs old
Answer:
6 years old
Step-by-step explanation:
How do you write 3/7 in the lowest terms (please Help)
3/7 is the lowest term, you cannot simplify anymore!!
Fraction: 3/7