Answer: 13,12,5
Step-by-step explanation:
According to the triangles inequality : The sum of any two sides of a triangle must be greater than the third.
since [tex]6+5 =11 \ngtr 15[/tex]
[tex]20+10=30\ngtr40\\\\ 16+2=18\ngtr19[/tex]
Only pipe lengths with measure 13,12,5 can form triangle as
13+12 >5
12+5>13
13+5>12
Hence, the correct option is 13,12,5.
There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club. How many students are in the drama club? The yearbook club?
Answer: There are 37 students in the drama club and 27 students in the drama club.
Step-by-step explanation:
Let x= number of students in the drama club.
y= number of students in the yearbook club.
As per given, we have
x+y=64
x=10+y
A system of linear equations that represents this situation:
x+y=64 (i)
x=10+y (ii)
Put value of x from (ii) in (i)
10+y+y=64
⇒ 2y= 54
⇒ y = 27 [Divide both sides by 2]
Put value of y in (ii) , we get
x= 10+27 = 37
Hence, there are 37 students in the drama club and 27 students in the drama club.
There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club. How many students are in the drama club? The yearbook club?
74
The sum of the ages of Alice, Barbie & Cindy is 44. Alice is three times older than Cindy. Barbie is 5 years younger than Alice. How old is Cindy?
Answer: Cindy is 7
Step-by-step explanation:
Alice is 21
Barbie is 16
A hot air balloon ascends at a rate of 5 meters per minute. If it ascends for 10 minutes, what is the total amount of meters the hot air ballon ascended?
Answer:
The hot balloon ascended by 50 meters.
Step-by-step explanation:
If the balloon ascends at 5 meters per minute, for 10 minutes, then we just need to multiply 5 by 10.
5 x 10 = 50.
Therefore, the hot air balloon ascended by 50 meters.
Hope this helps! :)
Find the missing values.
Answer:
Below in bold.
Step-by-step explanation:
The 2 triangles are congruent and they are both isosceles.
So m < 3 = 54 degrees. (isosceles triangle)
m < 2 = 54 degrees. (congruent triangles)
m < 1 = 180 - 2(54)
= 180 - 108
= 72 degrees. (angles in a triangle sum to 180).
m < 4 = 72 degrees. (congruent triangles),
3x + 9= 5x +21 solve for x plz do fast
Answer:
8x+30
Step-by-step explanation:
Solve for x:
4(x + 4) = 6(x - 2)
O A. x = 9
B. x = 14
O C. x = 8
D. x = 1
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
4(x + 4) = 6(x - 2)
Step 2: Solve for x
Distribute: 4x + 16 = 6x - 12Subtract 4x on both sides: 16 = 2x - 12Add 12 on both sides: 28 = 2xDivide 2 on both sides: 14 = xRewrite: x = 14Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(14 + 4) = 6(14 - 2)Add/Subtract: 4(18) = 6(12)Multiply: 72 = 72And we have our final answer!
Answer: 14 = x
Step-by-step explanation: Start by distributing through the parenthses
on each side of the equation to get 4x + 16 = 6x - 12.
Now move your x's to the right and numbers
to the left and you get 28 = 2x.
Divide both sides by 2 and 14 = x.
evaluate x^2+9/v^2 for each of the given values. what is the value of the expression when x=-3
Answer:
2
10
Undefined
Step-by-step explanation:
Answer:
2
10
undefined
Step-by-step explanation:
did it and got it right
At an average rate of 12 miles per hour, how far could a person ride a bike in three hours?
Answer:
36
Step-by-step explanation:
it would be 36 because 12 multiplied by 3 equals 36.
12 going being the rate and the 3 being what you would mulitply! hope this helps!
Answer:
36 miles
Step-by-step explanation: 12 miles per hour and he rode 3 hours. multiply 12 times 3 hours
the side length of a square can be expressed as 2x+3. If the area of the square is 121 square meters, what is the value of x?
Answer:
x=4
Step-by-step explanation:
(2x+3)^2=121
2x+3=square root of 121
2x+3=11
2x=11-3
2x=8
x=4
(in a square all sides are equal therefore area =length ×width where length and width=2x+3)
3/4+2/3−1/8 as a mixed number in its simplest form.
Answer:
Exact Form:
31/24
Decimal Form:
1.291¯6
Mixed Number Form:
1 7/24
Step-by-step explanation:
Answer:
1 1/3
Step-by-step explanation:
3/4+2÷3-1/8
3/6÷2/8
1/3÷1/4
1/3×4/1
=4/3
we an improper fraction,
1 1/3
The circumference C of a circle with radius r can be calculated using the formula C=2pir. Which formula represents r in terms of C
Answer:
Step-by-step explanation:
If C=2πr
r=C/2π (change of sbject)
9.
A tree casts a shadow 36 feet long at
the same time a boy 5 feet tall casts a
shadow 4 feet long. Find, in feet, the
height of the tree.
The town of Paxton has a population of 4.81 × 104 residents. The town of Oakville has twice the number of residents than Paxton. Which values represent the number of residents for the town of Oakville? Select all the values that apply
.A.9.62 × 10^8
B.4.81 × 10^6
C.9.62 × 10 ^4
D.4.81 × 10^8
E.4,810,000
F.96,200
plz help
Answer: A,F
Step-by-step explanation:
3. Charlie needs to hire a plumber to fix his kitchen sink. ABC Plumbing charges a flat
fee of $50 plus 535 per hour, Pipes R Us charges a flat fee of $75 and $25 per hour.
How many hours will the two companies charge for the total cost to be equal?
Answer:
2 hoursStep-by-step explanation:
step one:
given
ABC Plumbing charges
flat fee=$50
charge per hour= $35------------------i want to assume you meant $35 and not $535
Pipes R Us charges
flat fee=$75
charge per hour= $25
Let the number of hours be x
the equation for the charges is given bellow
y=35x+50----------1
y=25x+75-----------2
equating 1 and 2
35x+50=25x+75
35x-25x=75-50
10x=20
divide both sides by 10
x=20/10
x=2 hours
2 hours
In the equation 15y - 3 = 25 what vocabulary word can be best used to describe 15y - 3in the context?
Answer:
3 less than the product of a number and 15
Step-by-step explanation:
Given the expression
15y - 3 = 25
The unknown variable is y. Rewriting 15y - 3 as a statement
15y means the product of a number and 15
15y - 3 means 3 less than the product of a number and 15
Hence vocabulary word that can be best used to describe 15y - 3 is 3 less than the product of a number and 15
PLSS HELLLPPP!!!!!!!!!!!!!!!!!!!!
Answer:
I'M HONESTLY NOT SURE. SORRY
Step-by-step explanation:
i need help right now!!!!
Choose Yes or No to tell whether each statement is correct.
Coordinate plane showing triangle A B C with coordinates A 4, 1; B negative 1, 4; and C negative 1, 1.
BC is 2 units long.
Choose...
CA is 5 units long.
Choose...
BC is shorter than BA.
Choose...
AC is 2 units longer than BC.
Choose...
Answer:
no, yes, yes, no
Step-by-step explanation:
BC is 3 units long, CA is 5 units long, BC is shorter than BA by a little over 3 units (use pythagorean theorem), and AC is longer than BC by 3 units not 2.
i need help with this one Eight cookies cost $12. At this rate, how much will 10 cookies cost? soory i didnt see the answer
Answer: $15
Step-by-step explanation:
8 cookies cost $12 you divide 12 by 8 and then you get 1.5 which equals 1.50 so each cookie is 1.50. So for 10 cookies you multiply 10 times 1.50 and you get your answer $15. 10 cookies cost $15
Which of these changes in a pond environment is observable
1. the algae content increases in the summer.
2. the water level is lower
when there is little rain.
3. the water temperature at the surface increases when the sun is out.
4. all of these are observable.
ignore what subject i put this in pls i’m just rushing rn
Answer:
all of these are observable.
Step-by-step explanation:
you can look into how algae increase in the summer. You can visually see the water level is lower and you can feel the temperature of the water
hector surveyed 500 people and asked them how far they drive to work and what is the last digit of their phone number. He used the results to make a scatter plot.
what association is this l?
positive
negative
none
Answer:postive
Step-by-step explanation:
Julio solved the equation as show below. He made a mistake and incorrectly concluded that the equation has no solution. What was Julio's mistake? What is the correct answer to the equation?
9514 1404 393
Answer:
incorrect use of the distributive property in line 2
infinite solutions
Step-by-step explanation:
The second line of Julio's work should read ...
-x +5x +30 = 4x +30
Julio incorrectly distributed the 5 over the contents of parentheses.
__
Then the equation simplifies to ...
4x +30 = 4x +30
0 = 0 . . . . true for all x, infinite solutions
Find the slope of the line without graphing using the 2 points below.
(-2, -1) & (-8 , 11)
m = _______
Answer:
m = -2
Step-by-step explanation:
1. use the slope formula --> (y2-y1)/(x2-x1)
2. (11 -(-1))/(-8 -(-2))
3. 12/-6
4. m = -2
Answer:
The slope is -2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 11- -1)/( -8 - -2)
( 11+1)/( -8+2)
12/-6
-2
The plot shown below describes the relationship between the age of drivers and the number of car accidents per
100 drivers in the year 2009.
Which of the following is the best estimate of the average change in the number of accidents associated with a
1 year increase in age?
Answer:
-3/2
Step-by-step explanation:
If you have an integer on a number line, that we’ll refer to as ‘x’, what would you call the next consecutive number on the number line?
Answer:
that is x+ 1
Step-by-step explanation:
that's it easy peasy
4. Transversal E F intersects AB and CD, as shown in
the diagram below.
E
1/2
4/3
A
B
5/6
8/7
D
F
Which statement could always be used to prove
AB || CD?
1
2224
2) 27 228
3) Z3 and Z6 are supplementary
4) Z1 and 25 are supplementary
Answer: D, m<5=55.1 and m<7=124.9
Step-by-step explanation: 5 is the opposite of 4 in this diagram becuase of the bisector so that would make it the same 55.1, while 7 is an obtuse angle so it's clearly more than 90°, leaving 124.9 the most logical explanation.
Statement, ∠3 and ∠6 are supplementary will always be used if lines AB and CD are parallel.
What is a traversal line?When a line passes through two lines on the same plane, is called traversal line.
Given that,
Two lines are AB and CD,
Also, a transversal line EF intersect line AB and CD.
According to traversal line property,
If two lines are parallel and a traversal line intersect two lines, then each pair of interior angles on the same side of the transversal is supplementary.
In the given figure, Angle 3 and 6 are interior angles
Implies that,
Angle 3 and angle 6 will be supplementary if line AB and CD are parallel.
Hence, statement ∠3 and ∠6 are supplementary shows that lines AB and CD are parallel.
To learn ore about Traversal line on:
https://brainly.com/question/9895415
#SPJ2
(2.4x10^4) im very confused
Answer:
24,000
Step-by-step explanation:
I believe the answer is 24,000 because 10^4 is 10,000 and then you multiply 2.4 times 10,000 which is 24,000!! Your welcome
50 lbs of tomatoes cost $275. How many lbs of tomatoes can you get
with $225.50 ?
The students in Eddie's grade voted to select a guest speaker, 20% of the students voted
for a famous athlete. If there are 75 students in Eddie's grade, how many students voted for
the athlete?
Answer:15
Step-by-step explanation:
0.2*75=15 students
PLEASE HELP ASAP EASY WILL GIVE BRAINLIEST
Which of Earth’s spheres encompasses all of
Earth’s water?
a. the hydrosphere
b. the atmosphere
c. the asthenosphere
d. the geosphere
Answer:
The answer is A.
Step-by-step explanation:
All of earths bodies of water including groundwater. the hydrosphere also includes the cryosphere, which is made up of the worlds ice sheets and sea ice.
Answer:
a. the hydrosphere
Step-by-step explanation:
hydro means water