The water level at Lake Livingston last week was 3.45 inches below sea level. After a heavy rain, the lake measured 2.9 inches above sea level. What was the change in the water level?
(Segment Proofs)
Given: K is the midpoint of JL, M is the midpoint of LN
JK = MN
Prove: KL LM
Answer:
It's proved below
Step-by-step explanation:
We are given;
- K is the midpoint of JL
- M is the midpoint of LN
By definition of mid points, we can say that;
JK = KL and LM = MN
Now, we are given that JK = MN.
Thus, by substitution, we can deduce that; KL = LM
Thus is because JK can be replaced with KL and MN can be replaced with LM.
Thus, it is proved that KL = LM
Car Y travels 105 miles on 3 gallons of petrol. Car Z travels 80 miles on 9 litres of petrol.
Which car has better petrol consumption ( more miles per gallon)?
You may use the fact that 1 gallon =4.5 litres
Options are
A. None
B. Y
C. Z
Answer:
Car Z has better petrol consumption. Choice C. Z
Step-by-step explanation:
Petrol Consumption
Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon
Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.
This means that car Z has better petrol consumption. Choice C. Z
Answer the following questions based on this word problem:
The Beck family is planning on renting a car for their vacation. The two rental car companies have
different pricing plans.
Company A is $0.10 per mile and $25 a day.
Company B is $0.05 per mile and $40 a day.
Let x represent the number of miles and y represents the cost. They are only renting the van for 1 day.
Answer:
Step-by-step explanation:
A: $0.1(x) + 25(y) = x + 25
B: $0.05(x) + $40(y) = x + 40
Because they didn't give a certain amount of miles traveled, we have to go with we do know.
**this is probably wrong.
Can someone help please?
Answer:
Can i be brainlest i neeed it
Are any of these numbers an Integer?
15
20/5
44
13/19
-35.47
;w; help
Answer: 15, and 44 are integers.
Step-by-step explanation: For 15 to be an integer, 15 has to be a whole number. Furthermore, for 15 to be an integer, you should be able to write 15 without a fractional or decimal component. 15 is a whole number that can be written without a fractional component, thus 15 is an integer, as well as 44.
Identify whether the function f(x)= -3.2^1/6 is a monomial function, power function, both, or neither?
A.) Both
B.) Monomial
C.) Power
D.) Neither
Answer:
both
Step-by-step explanation:
both plus power = neither
14:6 divided by 5 ( the 14:6 is a ration )
-1/2 + 3/4 - 3/8 what is it?
Answer:
-1/8
Step-by-step explanation:
-1/2 + 3/4 - 3/8 = -1/8
Can I have Brainliest please?
Answer:
[tex]\frac{-1}{8}[/tex]
Step-by-step explanation:
So first find the greatest common factor of the denominators
GCF of 2 , 4 and 8 is 8
Then :
[tex]\frac{-4 + 6 - 3}{8}[/tex]
So you do this to get the above answer:
8 divided by the denominator times the numerator.
You still need to work it out
-4 + 6 = 2
[tex]\frac{2- 3}{8}[/tex]
2 - 3 is -1
Thus the answer is [tex]\frac{-1}{8}[/tex]
HOPE THIS HELPED
Subtract the expression :
- 5x + 3x - 24
Plzz ....answer....plzzz
Answer:
-2x-24
Step-by-step explanation:
-5x+3x-24 = - 2x-24
Answer:
-2x-24 hope dis helped
Patulong naman sa business math HAHHA
How many solutions does the following equation have? -6(x + 7) = -42 - 2
Answer:
x = 1/3 or .333
Step-by-step explanation:
A survey found that women's heights are normally distributed with mean 62.6 in. And standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 68.3 in. And standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. And a maximum of 64 in. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?
Answer:
The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches
Step-by-step explanation:
To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.
For significance value of 0.5, z = 0
We are given;
μ = 68.3 in
σ = 2.5 in
Thus from z = (x - μ)/σ, we have;
0 =(x - 68. 3)/2.5
0 = x - 68. 3
x = 68.3 inches for men max
Similarly, for significance value of 0.05, z = -1.645
Thus to find x;
-1.645 = (x - 68. 3)/2.5
-4.1125 = x - 68.3
x = 68.3 - 4.1125
x = 64.1875 inches for men min
Can someone please help me on 7
Answer:
B
Step-by-step explanation:
plug in 5
5^2-5(4)+7=12
===========================================
Work Shown:
A.
f(x) = 3x-8
f(5) = 3*5-8 ... replace every x with 5; simplify with PEMDAS
f(5) = 15-8
f(5) = 7
We can cross choice A off the list since we got 7 as an output, instead of 12.
---------------
B.
f(x) = x^2-4x+7
f(5) = (5)^2-4(5)+7
f(5) = 25-4(5)+7
f(5) = 25-20+7
f(5) = 5+7
f(5) = 12
We got the output we wanted. So we can stop here.
---------------
If you're curious about the others, then,
C.
f(x) = -x+14
f(5) = -5+14
f(5) = 9
That doesn't work, so we cross choice C off the list.
---------------
D.
f(x) = |x-7|
f(5) = |5-7|
f(5) = |-2|
f(5) = 2
Choice D is crossed out as well.
So only choice B works.
Both questions in picture! Will give brainliest!!
Answer:
See belolw
Step-by-step explanation:
[tex]P=53\text{ft}[/tex]
[tex]P = a+b+c[/tex]
[tex]53=2x-15+x+1+3x-29[/tex]
[tex]53=6x-43[/tex]
[tex]96=6x[/tex]
[tex]x=16[/tex]
[tex]a=2x-15[/tex]
[tex]a=2(16)-15[/tex]
[tex]\boxed{a=17}[/tex]
[tex]b=x+1[/tex]
[tex]b=16+1[/tex]
[tex]\boxed{b=17}[/tex]
[tex]c=3x-29[/tex]
[tex]c=3(16)-29[/tex]
[tex]\boxed{c=19}[/tex]
Answer:
1. x=16, a=17, b=17, c=19
2. k=-2
Step-by-step explanation:
1.
We can set up an equation where all the labeled sides add up to 53, and then find x:
(2x-15)+(x+1)+(3x-29)=53
6x-43=53
6x=96
x=16
Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:
a=2(16)-15=17
b=16+1=17
c=3(16)-29=19
2.
Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:
[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]
answerrrr plssssssssssssssssssssssssssssssssssss
Answer:
c
Step-by-step explanation:
because like it would happen in real life yk and the others dong make sense at all
tell me if its right
Answer:
c)scene
according to me
How many pages do you read in a hour if it takes you 8 hours and 25 minutes to read 500 pages?
PLZZ ANSWER ASAP!!!
Step-by-step explanation:
165 bc all you had to do was 825 divided by 500.
Solve for x in the equation x squared + 10 x + 12 = 36.
x = –12 or x = 2
x = –11 or x = 1
x = –2 or x = 12
Answer:
x= -12 x=2
Step-by-step explanation:
A family budgeted 28% of their monthly income to take a family vacation.
What fraction of the family's budget was spent on the vacation?
7/250
1/28
7/25
2/8
Answer:
7/25
Step-by-step explanation:
The answer is simple. It's a simplified fraction of 28%, or 28/100.
60 ft/s = ? Km/h
Please show me how to solve this.
Answer: 65.88 km/h
Step-by-step explanation:
When multiplying conversion factors, make sure the only remaining units are the desired units.
James has $40 to spend. He wants to buy 2 tickets to a show. He has to spend $7 to get where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2x+7 less than or equal to 40.
A.) x less than or equal to 23.5
B.) x less than or equal to 16.5
C.) x greater than or equal to 23.5
D.) x greater than or equal to 16.5
Answer:
B.) X less than or equal to 16.5
Step-by-step explanation:
If you take his limit, 40 and subtract the 7 dollars you will get 33. Then, divide that by two because he will need two tickets and you will get 16.5. It can't be greater than 16.5 because he will go over his budget.
Answer:
x ≤ 16.5
Step-by-step explanation:
40 ≤ 2t + 7 Subtract 7 from both sides.
40 - 7 ≤ 2t + 7 - 7
33 ≤ 2t Divide both sides by 2.
[tex]\frac{33}{2}[/tex] ≤ [tex]\frac{2t}{2}[/tex]
16.5 ≤ t or t ≥ 16.5
What are the equivalent forms of the number shown in the model?
Word: _____
Fraction: _____
Decimal: _____
Answer:
word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
Step-by-step explanation:
i got it right
word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator.
As, per the diagram there are total of 10 columns out of which 8 are shaded blue.
So, if we write the fraction of shaded part it will be 8/10.
So, in word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
Learn more about fraction here:
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ASAP WILL GOVE BRAINLIEST FO YOU EXPLAIN AND GIVE ME ANSWER ASAP
Answer:
[tex]105 \frac{3}{10}[/tex], so most likely G
Step-by-step explanation:
[tex]105.3=105.30=105 \frac{30}{100} =105\frac{3}{10}[/tex]
First, we convert to a fraction. Then, we simplify.
When you are trying to find the endpoint when given the midpoint and one point, what would the new formula be? Manipulate the formula using skills for solving literal equations. How would you find LaTeX: x_2\:\:\:or\:\:\:y_2x 2 o r y 2? Use LaTeX: x_m\:\:and\:\:\:\:y_mx m a n d y mto notate the midpoints. Remember the original midpoint formula is LaTeX: \left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)
Answer:
[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]
Step-by-step explanation:
Given
[tex]\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)[/tex]
Required
Determine x2, y2
Start by splitting the expression
[tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex] and [tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]
Solving for x2 in [tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex]
Multiply through by 2
[tex]2 * x_m = \frac{x_1 + x_2}{2} * 2[/tex]
[tex]2x_m = x_1 + x_2[/tex]
Make x2 the subject;
[tex]x_2 = 2x_m - x_1[/tex]
Similarly:
[tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]
Multiply through by 2
[tex]2 * y_m = \frac{y_1 + y_2}{2} * 2[/tex]
[tex]2y_m = y_1 + y_2[/tex]
Make y2 the subject;
[tex]y_2 = 2y_m - y_1[/tex]
Hence:
[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]
PLEAse i need help brainlist if u get it right
Answer:
C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.
Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.
Solve the quadratic
9x2 + 25 = 0
Answer:
9x^2=-25
X^2=-25/9
X^2=-2. 77
X= root - 2.77
=-1. 664Hope this helps you Stay happy and safe Do mark as brainliest ✌️8. Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders
smaller than a dozen pies, there is a $5 delivery charge. Is the cost proporti
to the number of pies ordered? Use a table of values to explain your reason
Answer:
Yes, because the more pies ordered the more money it will cost to buy them all
Step-by-step explanation:
total cost is not proportional to the number of pies.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
given Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.
Fred is ordering pies for a family reunion. Each pie cost $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.
Let us draw a table for the number of pies and the total cost
Number of pie Total Cost
1 $4.50+5=$9.50
2 $9+5=$14
3 $13.50+5=$18.50
4 $18+5=$230
5 $22.50+5=$26.50
now Total cost/number pies = 9.50/1 is not equals to 14/2
Therefore the total cost is not proportional to the number of pieces
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plz help important!!!!!!!!!!!!!!!!!!!!!!
Answer:
the cost of gas i think
Step-by-step explanation:
i dont really know
Answer:
I think it is, B( The length of the route
Step-by-step explanation:
Andre is buying snacks for the track and field team. He buys a pound's of apricots for $6 per pound and b pounds of dried bananas for $4 per pound he buys a total of 5 pounds of apricots and dried bananas and spends a total of $24.50 Which system of equations represents the constraints in the situation?
Answer:
a + b = 5 ...........1
6a + 4b = 24.50 ......... 2
Step-by-step explanation:
Let a be the amount of pounds of apricot bought
Let b be the amount of pounds of banana bought
If he buys a total pounds of 5 pounds then;
a + b = 5 ...........1
Also if a pound's of apricots for $6 per pound, total amount of aprciots bought will be $6a
Also if b pound's of banana is for $4 per pound, total amount of banana bought will be $4b
If he spends a total of $24.50 on both banana and apricots, then:
6a + 4b = 24.50 ......... 2
The system of equations that represents the constraints in the situation is:
a + b = 5 ...........1
6a + 4b = 24.50 ......... 2
Answer: C
Step-by-step explanation:
What is the y-intercept of the function f(x) = -2/9x + 1/3
-2/9
-1/3
1/3
2/9
Answer:
Step-by-step explanation:
-1/3