is 7m-2=8m+4-m an identity?
In last weekend's track meet, Lakeland High School had 30 individual-
event placers score a total of 111 points. First-place finishers score 7 points, second-place finishers score 4 points, and third-place finishers score
1 point. The number of first- and second-place finishers was twice the
number of third-place finishers. Find the number of runners that finished in
each place.
Answer:
The number of runners that finished in first place , second place and third place are 7 , 13 and 10 respectively.
Step-by-step explanation:
Let the no. of runners fished at first place be x
Let the no. of runners fished at second place be y
Let the no. of runners fished at third place be z
We are given that Lakeland High School had 30 individual- event placers
So, x+y+z=30 -----1
First-place finishers score 7 points
So, Total score of x runners = 7x
Second-place finishers score 4 points
So, total score of y runners = 4y
Third-place finishers score 1 point.
So, total score of z runners = z
We are given that 30 individual- event placers score a total of 111 points
So, 7x+4y+z=111 ----2
We are also given that The number of first- and second-place finishers was twice the number of third-place finishers.
x+y=2z ---3
Substitute the value from 3 in 1
x+y+z=30
2z+z=30
z=10
Substitute the value of z in 1 and 2
x+y=20 ----4 and 7x+4y=101 ---5
Substitute the value of x from 4 in 5
7(20-y)+4y=101
140-7y+4y=101
140-3y=101
39=3y
`13=y
Substitute the value of y and z in 1
x+13+10=30
x=7
Hence the number of runners that finished in first place , second place and third place are 7 , 13 and 10 respectively.
In trapezoid EFGH, EF¯¯¯¯¯ and HG¯¯¯¯¯¯ are the bases. Point J is the midpoint of EH¯¯¯¯¯¯ and point K is the midpoint of FG¯¯¯¯¯ . EF=3x+2 , HG=7x−2 , and JK=15 .
What is the value of x?
Answer:
6
Step-by-step explanation:
The required value of x is 3 for the given trapezoid.
What is a trapezoid?A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.
Given that EF and HG are the bases and J and K are the midpoints of the legs, we can use the midsegment theorem which states that:
The segment connecting the midpoints of the legs of a trapezoid is parallel to the bases and is equal to half the length of the bases.
We can use this theorem to write the equation:
JK = (EF+HG)/2
Now we are given that:
EF=3x+2 , HG=7x−2 , and JK=15
So we can substitute these values in the equation:
15 = (3x+2+7x-2)/2
15 = (10x)/2
15 = 5x
x = 3
Thus, the required value of x is 3.
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The twenty cards below are laying facedown on the table. One card is randomly picked.
Find P(pink or green).
Answer:
9/20 or 9:20 depending on how they want it written
Step-by-step explanation:
add pink and green cards [9] in relation to total cards [20]
List the first 15 perfect cubes:
23
33
43
53
63
83
93
103
11
12
13
14
153
13
1
1
73
1
1
1 l
Sign out
INTL
Answer:
1
1
1
11
11
235
5
6
65
6
444444444
4566
hi pls help! i'll give brainliest +30 points
Answer:
Option 3
Step-by-step explanation:
Because only the constant is changed.
Nilopal is 2 years older than Devjan who is 7 years older than Sucha. If their combined age is 61 years, find age of each person?
Answer:
23, 30, 8
Step-by-step explanation:
Chloe has 18inches of red licorice.Reid has 6inchex of red licorice. what fraction of a yard of red licorice do Chloe and Reid have together. use numbers pictures or Words to show your thinking
Answer:
2/3
Step-by-step explanation:
Chloe = 18inches of red licorice.
Reid = 6inches of red licorice
Total = 18 inches + 6 inches
= 24 inches
what fraction of a yard of red licorice do Chloe and Reid have together
Chloe and Reid have 24 inches altogether
1 yard = 36 inches
Fraction = 24 inches / 36 inches
= 2/3
A boat can travel 140 kilometers on 35
liters of gasoline. How much gasoline will
it need to go 432 kilometers?
Answer: 108 liters of gasoline is needed.
Hope this helps! :)
Given parameters:
Distance = 140km
Volume of gasoline = 35liters
Unknown:
Volume of gasoline needed for 432km = ?
Solution:
Let us first find the rate of gasoline consumption per mile. Using this value, we can then determine the volume of gasoline used for the distance given.
Rate of gasoline consumption by the boat = [tex]\frac{volume of gasoline}{distance}[/tex]
= [tex]\frac{35}{140}[/tex]
= 0.25liters/km
Now, the volume of gasoline needed for 432km;
Volume of gasoline needed = rate of gasoline consumption x distance
= 0.25 x 432
= 108liters of gasoline
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 40 pounds
and each large box of paper weighs 70 pounds. A total of 20 boxes of paper were
shipped weighing 1220 pounds altogether. Write a system of equations that could be
used to determine the number of small boxes shipped and the number of large boxes
shipped. Define the variables that you use to write the system.
HELP PLEASE (20 PTS)
What should be added to −5 to make the sum 0?
−5
0
5
6
Answer:
5
Step-by-step explanation:
0=x-5
solve for x
x=5
nnnnnnnnnn
You add positive 5.
-5+5=0
2. Find the value of p, if the mean of the following distribution is 20.
X
15
17
19
20+p
23
f 2,3, 4, 5, 6
Answer:
p = 6
Step-by-step explanation:
I'm omitting the x since you cannot have 2 unknowns.
(15 + 17 + 19 + 20 + p +23) /5 = 20 Combine the left
(94 + p) / 5 = 20 Multiply both sides by 5
94 + p = 20 * 5
94 + p = 100 Subtract 94
P = 100 - 94
P = 6
At a local pumpkin patch you can pick your own pumpkins. There is a $5 charge to enter the patch and then a $0.25 charge per pound of pumpkin. Let p
represent the weight of the pumpkin you choose and C(p)
represent the total cost of the pumpkin in terms of the weight of the pumpkin. Equation, in function notation:
Answer:
C(p) = 0.25p + 5
Step-by-step explanation:
$5 is the amount of money you have to pay when you don't get a pumpkin (a pumpkin that's 0 lbs), so the y-intercept is 5. 0.25 is the rate at which the price increases as the weight increases, so the slope is 0.25.
m = slope, b = y-intercept
C(p) = mp + b
C(p) = 0.25p + 5
Sohil has $18 in quarters and loonies. If there are 27 coins in total, how many loonies are there
Answer:
15 loonies = $15.00
12 quarters = $3.00
CHECK:
15+12=27
3+15=18
So there are 15 loonies :)
Which equation represents a line that passes through the two points in the table? x3,6 y 1,6
The lines is represented by (D)
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides.
As, the solution given:
put x=3
y-1 = 0
y=1
Similarly, x= 6
y-1= 5/3 * (3)
y-1 = 5
y=6
Hence, the lines represent y-1 = 5/3 ( x- 3)
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Answer:y-1 = 5/3 ( x- 3)
In the figure shown, t || X and k l w and m23 = 20° Choose the list which includes all of the other angles that measure 20°
1615
13 14
1\2
43
k
11 10
129
5 6
87
w
0 A 1
B. 1, 5, 7
C. 1. 14. 16
0 D. 1.5. 7. 9, 11, 14, 16
Answer:
D. 1, 5, 7, 9, 11, 14, 16
Step-by-step explanation:
The following angles has the same measure as <3 = 20°:
m<7 = m<3 (corresponding angles are congruent)
m<5 = m<3 (alternate interior angles are congruent)
m<1 = m<3 (vertical angles are congruent)
m<14 = m<3 (corresponding angles are congruent)
m<16 = m<3 (alternate exterior angles are congruent)
m<9 = m<14 = m<3 (corresponding angles are congruent)
m<11 = m<9 = m<3 (vertical angles theorem and corresponding angles theorem)
Therefore, angles labelled D. 1, 5, 7, 9, 11, 14, and 16 all have the measure of 20°.
Look at the words.
effect principle decent accept
What makes these words difficult to spell?
A. They all end in a silent -e.
B. They all have a silent consonant.
C. They all have doubled consonants.
D. They all are commonly confused words.
Answer:
Your answer is: I would say C) They all have doubled consonants.
Step-by-step explanation:
Hope this helped : )
They are all commonly confused words. Makes these words difficult to spell. The sentence "effect principle decent accept". Thus, option (d) is correct.
What are words?
The term words referred to the combination of the letters. The words are the always in to define the meaning. The letters are arranged in the proper manner of the spellings are in the correct format. The words are the arranged in proper manner in the creation of the sentence. The words are the noun and the pronoun.
According to the sentence, was the based on the commonly confused words. The words are the always commonly as the confused because each word is a different meaning as the similar spelling.
As a result, the commonly confused words are word difficult to spell. Therefore, option (d) is correct.
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HELPPPPPP
Question:
In pic
Answer:
68/12
Step-by-step explanation:
12x5 is 60 then add the 8
Answer:
5[tex]\frac{2}{3}[/tex] I believe
find the sum . red is negatives and yellow are positives
Answer:
-3
Step-by-step explanation:
-6+3
beucase they are opposite signs (negative and positive) you subtract to find the difference; 6 minus 3 and you keep the sign of the larger number
Answer:
-3
Step-by-step explanation:
There are 3 yellows and 6 reds
then
(-6) + 3 = (-3)
On leaving Trinidad, the time on a pilot's
watch was 23:00 h. When he arrived at his
destination in the same time zone on the
next day, his watch showed 03:00 h. Ilow
many hours did the flight take?
Answer:
4 hours
Step-by-step explanation:
(i assume that the 03:00 is a.m and not p.m)
23:00 is 11 pm, so 11 pm to 3 am would be 4 hours
Bethany is playing a game with her sister. Each player starts with 3 shuffled decks of cards turned upside down in 3 separate
piles so they don't know what order the cards are in. At each turn they draw 2 cards, 1 from the top of 2 piles of their
choosing
Bethany has the last play, and to win the game, she needs 2 face cards. She has paid attention to which cards have been
played from each pile, and she knows what cards are remaining in each pile. The cards remaining in each pile are shown
below.
Pile 1 = (10C, 5D, 9H, 9D, JD, 8D)
Pile 2 - (8D, QC, 45, 4D, AD, JS, 4H)
Pile 3 = {4C, KS, 6S, 10D, 4H}
Which 2 piles should Bethany draw from to have the best chance of winning the game?
Note: The last letter in the lists above gives the suit: Club, Diamond, Heart, or Spade. The first number or letter is the card
value. Jacks, Queens, and Kings are face cards.
Lo
Answer: its b
Step-by-step explanation:
The following two pile should Bethany draw to have the best chance of winning the game are;
Pile 1 = (10C, 5D, 9H, 9D, JD, 8D)
Pile 2 - (8D, QC, 45, 4D, AD, JS, 4H)
What is the combination?In mathematics, Combination is a term which tells us how many ways there are for the selection of a few things without considering their order.
Formula for selection of a objects from the n objects,
N = ⁿCₐ
Given that,
Bethany is playing a game with her sister,
Each player starts with 3 shuffled decks of cards turned upside down in 3 separate piles
At each turn they draw 2 cards, 1 from the top of 2 piles of their
choosing
Which 2 piles should Bethany draw from to have the best chance of winning the game = ?
Following combination of piles should be selected:-
Pile 1, has 2 face cards (Jack of Diamonds, Queen of Clubs) and pile 2 has 2 face cards (Jack of Spades, Ace of Diamonds), so by drawing from these two piles, Bethany has a total of 4 face cards to choose from.Pile 3 only has 1 face card (King of Spades), so drawing from this pile alone would give her a lower chance of winning the game.To have the best chance of winning the game, Bethany should draw from piles 1 and 2.
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3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32
What are the intercepts of the line -8y=8x-32 ?
x-value of x-intercept _____
y- value of y-intercept _____
10x-6y=-48
standard to slope intercept form
Answer:
[tex]y=\frac{5}{3}x+8[/tex]
Step-by-step explanation:
Remember, slope intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
To get the given equation into slope-intercept form, we would have to first solve for y in terms of x.
10x - 6y = -48
Subtract 10x from both sides.
-6y = -48 - 10x
Multiply both sides by -1.
6y = 10x + 48
Divide both sides by 6.
[tex]y=\frac{5}{3}x+8[/tex]
And now, looking at the equation that we found and the equation for slope-intercept form, we can see that we have found the equation for 10x - 6y = -48 in slope-intercept form.
I hope you find my answer to be helpful. Happy studying.
Write an equivalent expressions for (8a2 -15a + 9) - (6a2 - 9a - 20).
Answer:
2a2 - 6a + 29
Step-by-step explanation:
can someone please answer me this question ASAP!!!!
Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units
Question 7(Multiple Choice Worth 1 points)
3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance
Write an equation in slope-intercept form for the line that has a slope of 2/3 and passes through the point (2,9)
9514 1404 393
Answer:
y = 2/3x -23/3
Step-by-step explanation:
In a version of point-slope form this is ...
y = m(x -h) +k . . . . . line with slope m through point (h, k)
Expanding this, we have ...
y = mx +(k -mh) . . . . slope-intercept form
For the given point and slope, the equation is ...
y = 2/3x +9 -2/3(2)
y = 2/3x -23/3
Answer:
can you provide more information
Step-by-step explanation:
Solve for x : x/14-4=3
Answer:
98
Step-by-step explanation:
3+4 then times 14
solve this asap thanks !
10/3 divided by 2/3 show work pls
Answer: 1/5
Step-by-step explanation:
10. 3
3. 2
Three divided by three is one
Ten divided by two is five
Answer:
5
Step-by-step explanation:
10/3 divided by 2/3
Using the rule of dividing fractions, you flip one side and multiple.
10/3 multiplied by 3/2
Think: Can you simplify from across?
10 and 2, 3 and 3 can simplify from across
5/1 multiplied by 1/1 = 5
If you have any questions I would be glad to help.
Does anyone know what the answer is ???? PLEASE HELP
Answer:
they should meet at point (1, 1)