Answer:
x = [tex]3\frac{3}{4}[/tex]
Step-by-step explanation:
First, you have to leave 2x by itself on the left side of the equation:
2x = 60/8
Then divide,
x = 15/4
Simplified fraction: x = [tex]3\frac{3}{4}[/tex]
Answer:
exact form: x=15/4
decimal form; 3.75
miced number: 3 3/4
Step-by-step explanation:
The top of the mountain is at an elevation of 800 feet. The floor of the cave is 200 feet below ground. What is the distance between the top of the mountain and the floor of the cave?
Answer:
1000
Step-by-step explanation:
17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 orange cost?
Answer:
0.48$
Step-by-step explanation:
Cost of 1 Apple = A
Cost of 1 Orange = O
Six apples and three oranges cost $3.36 equivalent to:
6A + 3O = 3.36 (1st equation).
Two apples and five oranges cost $3.04 equivalent to:
2A + 5O = 3.04 (2nd equation).
Now we have to solve the 2 equations with 2 uknowns (the cost of 1 Apple = A, and the cost of 1 Orange = O).
6A + 3O = 3.36 (Equation 1)
2A + 5O = 3.04 (Equation 2), multiplying this equation by 3 we get:
6A + 3O = 3.36 (Equation 1)
6A + 15O = 9.12 (Equation 2), Now equation 2 minus equation 1 we get:
6A-6A +15O -3O = 9.12-3.36 equivalent to:
12O = 5.76 => O = 5.76/12 = 0.48 ( the cost of one Orange is 0.48$)
Go back to equation 1 and solve for the cost of 1 apple:
6A + 3x0.48 = 3.36 =>
6A + 1.44 = 3.36 =>
6A = 1.92 =>
A = 1.92/6 = 0.32 ( the cost of one apple is 0.32$)
Summary: The cost of one apple is 0.32$ and the cost of one orange is 0.48$.
Ryan is building a treehouse it will take 13 1/4 hours to complete he can work on the treehouse 1 1/2 hours each day how many days will it take Complete up with the treehouse complete plzz help like now
Answer:
9 days
Step-by-step explanation:
13 1/4 / 1 1/2 = 8 5/6 so 9 days
i need help asap i’ll give
Answer:
32
Step-by-step explanation:
It is a 90º angle. Subtracting the 58º gives you 32.
Bethany can mow her lamily's lawn in 4 hours. Her brother coin can mow the lawn into hoursWhich equation can ve
used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together?
Answer:
1/x = 1/4 + 1/3
Step-by-step explanation:
In 4 hours Bethany did the whole fraction 1 of the house.
In 1 hour he would do 1/4 of it.
In 3 hours Colin did the whole fraction 1 of the house.
In 1 hour he would do 1/3 of it.
In 1 hour they would both do (1/4 + 1/3)
If it takes both of them x hours to finish 1 whole fraction of the house.
In 1 hour they will both do 1/x
That means that:
1/x = 1/4 + 1/3
That is the equation. x can be solved for.
help
pls
its
due
tmr
pls
pls
ill give 50 points
Answer:
A
Step-by-step explanation:
might be wrong
Write an equation of the line that passes through (1, 2) and is parallel to the line y = -52 +4.
y
5x + 7
Answer:
gfgdf
Step-by-step explanation:
dfhdf
You are trapped in a concrete room with no doors or escape methods of any kind. And a table and a mirror is all you have. How do you escape?
Answer:
Through the mirrror try breaking the mirror with the table, touch the mirror if u seen green people can see u through the other side but if it doesnt find a diff way.
Step-by-step explanation:
A salesperson earns $450 per week plus 15% of her weekly sales. The
expression representing her earnings is 450 +0.15x. Which of the following
describes the sales necessary for the salesperson to earn at least $600 in
one week?
Answer:
If a sales person wants to earn $600 in 1 week they have to make $1000 dollar sale or a bunch of sales that can make $1000
Step-by-step explanation:
Because $600 - $450 gives you $150, and $150 is 15% of her sales to if we were to divide $150 by 0.15 ( 15% in decimal for ) we would get $1000 meaning 15% of 1000 is 150.
Hope this helps :)
I really need help please!
if the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is
Answer:
10cm^2
Step-by-step explanation:
The parallel sides of a parallelogram is 2cm apart
Their sum is 10cm
Therefore the area can be calculated as follows
= 2 ×10/2
= 20/2
= 10 cm^2
Hence the area is 10cm^2
WORTH 25 POINTS!!!!! Three times as many adults as students attended a game. The total attendance was 480. If 3x + x = 480 models this situation,
which two statements are true?
A)
3x = number of students
B)
x = number of adults
480 - X= number of adults
D)
360 adults attended.
E)
200 children attended.
Answer:
B x= number of adults 480-x = number of adults
I need help plz! If anyone knows, I would truly appreciate it! Thank uuu!!!!^^
(5 screenshots included)
Answer:
pic1 a pic2 d
Step-by-step explanation:
i did this
if 72 is 40% what is 100%?
Answer:
180
Step-by-step explanation:
If 40% = 72, 100% can be found like so:
40% = 72
100% = [tex]\frac{100}{1}[/tex] * [tex]\frac{72}{40}[/tex]
You can reduce 40 and 100 by 20 (or probably more, but I'll use 20)
So now we have:
[tex]\frac{50}{1}[/tex] * [tex]\frac{72}{20}[/tex] = [tex]\frac{3600}{20}[/tex]Divide, and you get 180.
To check, we can find 40% of 180.
(I looked it up)
Hope this helps!
The library has 65400 art books and 9600 science books. What part of all the books are science books
Answer:
9,600/75,000, 16/125
Step-by-step explanation:
art+science=75000
9600
75000 =16/125
The part of all the books that are science books is 0.128 or 16/125.
Using this formula
Science books=Science books(Art books+Science books)
Where:
Science books=9600
Art books=65400
Let plug in the formula
Science books=9600/(65400+9600)
Science books=9600/75000
Science books=0.128 or 16/125
Inconclusion the part of all the books that are science books is 0.128 or 16/125.
Learn more about part of books that are science here:https://brainly.com/question/8513862
Paige has scored 12 soccer goals after playing 5 games. How many games will it take for her to score 72 soccer goals?
Answer:
30
Step-by-step explanation:
12 is one sixth of 72. Therefore, she will need to play 6 times the number of games in order to score 72 goals. 5x6=30, so that is the answer
Answer:
13 dollars
Step-by-step explanation:
Quantity of Notebooks Cost
5/$6.00
6/$5.82
7/$6.44
8/$6.80
9/$8.01
The table shows the cost for different quantities of notebooks offered online. Which is the BEST VALUE?
A) 5 notebooks
B) 6 notebooks
C) 7 notebooks
D) 8 notebooks
Answer: I think it might be A but then again I am only in 6th grade so, whatever!
Step-by-step explanation:
please help me on this!
Answer:
9*572=5148
Step-by-step explanation:
Anyone know??? thank you
Answer: nope
Step-by-step explanation:
What is the solution to the system of equations graphed below?
y--x+2
y= 5x+ 28
OA. (4, 8)
OB. (0, 2)
Answer:
4,8 :)
Step-by-step explanation:
Answer:
(-4, 8)
Step-by-step explanation:
other answer was close but wrong
Jack wants to lose some weight and is highly motivated to follow the orders of his doctor. His doctor has given him a goal that he is to decrease his weight by 2 3/8 pounds per week. If Jack weighs 250 pounds
when he starts the diet, how much will he weigh after five weeks on the
diet?
Answer:
The answer would be 11 7/8 pounds
Step-by-step explanation:
2 3/8 times 5 equals 11 7/8.
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainlist.
whats the area of 1.6m, 1.2m and 1.4m?
Answer:
= 2.1 meters
Step-by-step explanation:
I need help fast thank you!!
Answer: hypotenuse is 37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
Each bag of rice costs $60, and you have $180 to spend on
rice. Write an inequality for the possible number of bags of rice
you could buy, then find the maximum number of bags you can
buy.
SER
Answer:
$180/$60 per bag = 3 bags maximum
Step-by-step explanation:
Not sure I understand the question.
180/60=3 maximum
I don't understand where an inequality fits in
A $40,000 car depreciates in value about 18% per year for the life of the car. Determine the value of the car after 7,8, and 9 years. What is the rate of decay?
Answer:
Value after:
7 years = $9971.42
8 years = $8176.56
9 years = $6704.78
Rate of decay = 18%
Step-by-step explanation:
A $40,000 car depreciates in value about 18% per year for the life of the car.
Determine the value of the car after 7,8, and 9 years. What is the rate of decay?
The formula for Depreciation is
FV = PV( 1 - r)^t
Where
FV = Future value
PV = Present value = $40,000
r = Depreciation rate = 18% = 0.18
t = time in years
a) After 7 years
$40,000 (1 - 0.18)⁷
= $9971.4188227
= $9971.42
b) After 8 years
$40,000 (1 - 0.18)⁸
= $8176.5634346
= $8176.56
c) After 9 years
$40,000 (1 - 0.18)⁹
= $6704.7820164
≈ $6704.78
= $9971.42
The Rate of decay = 18%
PLEASE HELP! The vertices of square LMNO are L(0, 2), M(2, 0), N(0,−2), and O(−2, 0). Which of the following shows that its diagonals are congruent perpendicular bisectors of each other? I ATTACHED THE IMAGES.
Answer:
The fourth one is correct.
Step-by-step explanation:
To show the diagonals are congruent, calculate their lengths using the Distance Formula: d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√.
Find the length of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
LN=(0−0)2+(−2−2)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=02+(−4)2‾‾‾‾‾‾‾‾‾‾√
=8‾√
Find the length of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
MO=(−2−2)2+(0−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(−4)2+02‾‾‾‾‾‾‾‾‾‾√
=8‾√
Since LN=MO, by the definition of congruent line segments, LN=MO.
To show the diagonals are perpendicular, calculate their slopes using the Slope Formula: m=y2−y1x2−x1.
Find the slope of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
m1=−2−20−0=−40⇒m1 cannot be defined.
Find the slope of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
m2=0−0−2−2
=0−4
=0
The slope of LN cannot be defined, this means that LN is parallel to y-axis. The slope of MO is equal to 0, this means that MO is parallel to x-axis. x and y axis are perpendicular, therefore LN⊥MO.
The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. Diagonal L N is perpendicular to diagonal M O.
To show the diagonals bisect each other, calculate their midpoints using the Midpoint Formula: P(x1+x22,y1+y22).
Find the midpoint of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
P1(0+02,2+(−2)2)=(0, 0)
Find the midpoint of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
P2(2+(−2)2,0+02)=(0, 0)
Both midpoints are the same point on the coordinate plane. This means the two diagonals intersect at their midpoints, or bisect each other.
The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. The diagonals intersect at point P. Segments L P, P N, M P, and P O are congruent.
Therefore, the diagonals are congruent perpendicular bisectors of each other.
-6 x -1 x -2 x -3
Which of the following is the correct answer
-36
-12
12
36
so say if its 4:30 pm now for me, what time will it be in 4 and a half hours? im lazy lolz
Answer:
9:00
Step-by-step explanation:
What is the solution to this equation?
Answer:
x = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
4x - 6 = 10x - 3 ( subtract 10x from both sides )
- 6x - 6 = - 3 ( add 6 to both sides )
- 6x = 3 ( divide both sides by - 6 )
x = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex]
I don't get it, the concept is to make a proof, but I'm so confused!!!!
Answer:
Try Finding What A And B Is...
Step-by-step explanation: