Tatia, Mary, and Erica were partners in business. Tatia received twice as much of the profit as Erica received. Mary received 2/3 of the amount Tatia received. If the total profit was $52,000, how much did Mary recieve
Answer:
$16000
Step-by-step explanation:
let Amount Erica received be 'x'
Tatia received = 2x
Mary received = 2/3(2x) = 4x/3
x + 2x + 4/3(x) = 52000
3x + 4x/3 = 52000
(9x+4x)/3 = 52000
13x/3 = 52000
x = (52000 x 3) / 13
x = 4000 x 3
x = 12000
Mary Received = 4x/3 = 4(12000)/3 = 16000
Answer:
$16000
Step-by-step explanation:
erica would get -n
tatia gets -2n
Mary gets -2/3 of 2n
2n +( 2/3 of 2 n ) + n =$52000
2n + 4/3n+ n=$52000
3 4/3 n=$52000
13/3 n= $52000
n= $16000
"The mean age of all students at the University has a 95% chance of falling between 21.3 and 24.6 years of age." This statement represents:
Answer:
Confidence interval of the population mean
Step-by-step explanation:
The statement above is a report of the estimated confidence interval value which is used to obtain the estimate if the population mean from a given sample.
The statement above gives the confidence interval at α = 95%
HELPPPPPPPPP !!!!!!!!! plzzzzz
Answer:
a) its root 2
b) 2
c) 3,4,5,6 (just all x numbers)
d) inverse is just reverse of points ex: (2,1) for the first set
also what is that equation up top am i suppose to use that for something
Step-by-step explanation:
Can someone please exlpain how to do this???
Answer:
40. A c=60
41 B z= 40
Step-by-step explanation:
The sum of the angles in a triangle is 180
40. 61+59+c = 180
Combine like terms
120+c = 180
c = 180-120
c =60
41. 90+50+z = 180
140 +z = 180
z = 180-140
z = 40
The lines shown below are perpendioular. If the green line has a slope of
-2/3 what is the slope of the red line PLEASE HELP ASAP
Answer:
C)3/2
Step-by-step explanation:
Perpendicular lines have a negative reciprocal slopes.
Therefore C)3/2
Becky bikes 6 miles in 24 minutes. At the same rate, how many miles would she bike in 60
minutes?
Answer:
10 miles
Step-by-step explanation:
6 in 24 min 6÷24=4
60÷6 =10
=======================================================
Here's one approach:
(6 miles)/(24 minutes) = (x miles)/(60 minutes)
6/24 = x/60
6*60 = 24*x
360 = 24x
24x = 360
x = 360/24
x = 15
She travels 15 miles in 60 minutes (aka 1 hour). So we can say her speed is 15 mph.
-----------------------------
Here's another approach:
If she travels 6 miles in 24 minutes, then her unit rate is distance/time = 6/24 = 1/4 = 0.25 miles per minute.
So if she travels for 60 minutes, then she'll cover a distance of 60*0.25 = 15 miles
Craig wants to prove that if quadrilateral ABCD has diagnols that biscet each other then it is a parallelogram
Solution :
Consider quadrilateral ABCD is a parallelogram. The parallelogram have diagonals AC and DB.
So in the given quadrilateral ABCD, let the diagonal AC and diagonal DB intersects at a point E.
Thus in the quadrilateral ABCD we see that :
1. AC and DB are the diagonals of quadrilateral ABCD.
2. Angle DCE is congruent to angle BAE and angle CDE is congruent to angle ABE. (they are alternate interior angles)
3. Line DC is congruent to line AB. (opposites sides are congruent in a parallelogram )
4. Angle ABE is congruent to angle CDE. (Angle side angle)
5. Line AE is congruent to line EC. And line DE is congruent to line EB. (CPCTC)
Thus we see that if the diagonals of a [tex]\text{quadrilateral bisects each other}[/tex], then the quadrilateral is a parallelogram.
Answer:
△ABE and△CDE by side-angle-side
Please help me ASAP!! Please write answer in inequalities form! Thanks so much! :)
Answer:
.5 < 2 - sqrt(2) < .6
Step-by-step explanation:
sqrt() is larger than 1.4 and less than 1.5
2 - sqrt(2) 2 -1.4 = .6
2 - sqrt (2) 2 - 1.5 = .5
.5 < 2 - sqrt(2) < .6
[tex]1.4 < \sqrt{2} <1.5 \\ - 1.5 < - \sqrt{2} < - 1.4 \\ 2 - 1.5 < 2 - \sqrt{2} < 2 - 1.4 \\ 0.5 < 2 - \sqrt{2 } < 0.6[/tex]
In the picture below, which lines are lines of symmetry for the figure?
A. 1 and 3
B. 2 and 4
C. 1, 2, and 3
D. none
Answer:
None
Step-by-step explanation:
No lines can be folded over to match up with the opposite side
Need help asap please thank you
Answer:
Option d, ln 54.6 = 4
Step-by-step explanation:
54.6 = e⁴
taking log both side (where base of log is e)
ln 54.6 = log e⁴
or, ln 54.6
or, ln 54.6 = 4×ln e
or, ln 54.6 = 4 (ln e = 1)
Answered by GAUTHMATH
please help me in this questions....
Part (i)
I'm going to use the notation T(n) instead of [tex]T_n[/tex]
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
Answers: -1, -4==============================================
Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
Answer: 21st term===============================================
Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
Answer: 8căn bậc 2 của 5 là bao nhiêu
Answer:5
Step-by-step explanat[tex]\sqrt{5} = 5[/tex]
[tex]\sqrt{5}[/tex] = 2.23
Find the length of BW
A.132.59
B.134.24
C.21.26
D.3.33
Answer:
BW = 132.59
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 9 = 21 / BW
BW tan 9 = 21
BW = 21/ tan 9
BW = 132.5887818
BW = 132.59
Answer:
Step-by-step explanation:
Side BW is the height, aka as the side adjacent to the reference angle of 9 degrees. We have the side opposite the reference angle (21) and we are looking for the side adjacent to the reference angle. The trig ratio that we use for this, the one that relates the sides opposite and adjacent, is the tangent ratio, namely:
[tex]tan(9)=\frac{21}{BW}[/tex] and solving for BW:
[tex]BW=\frac{21}{tan(9)}[/tex] so
BW = 132.59
If 12 out of 30 fruits are oranges, how many oranges fruits will there be per 100 fruits total?
Answer:
40 oranges are there in 100 fruites.
A water bottling company has purchased the rights to bottle 960 liters of spring water a month from the local spring.
How many 4-liter bottles can they produce a month?
Answer:
becouse 4×960 will give you
3840
Ive never really understood 8th-9th grade volume, could use some help
The answer is B
Eplanation:
V = pi * r² * (h/3)
Then from here you just make h the subject of the formula:
h = (V * 3)/(pi * r²)
h = (393*3)/[3.14* (10/2)²]
h = 15.01910828 ft
which is rounded to 15 ft...B
:)
Solve the compound inequality 7x > –35 and 3x ≤ 30.
Answer:
x>-5 x ≤10
Step-by-step explanation:
-35/7=-5
7x/7=x
3x/3=x
30/3=10
Answer: -5 < x _< 10
Step-by-step explanation:
The tangent ration! helpp!!
Answer:
13.5
Step-by-step explanation:
Given
tan34° = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )
20 × tan34° = x , then
x ≈ 13.5 ( to the nearest tenth )
I really really need help with this
Answer:
c) 21
Step-by-step explanation:
[tex] \sqrt{169} + \sqrt{64} [/tex]
13+8
answer is 21
please help geometry!!
Answer:
A' (-5, 5)
B' (20, 0)
C' (5, -15)
Step-by-step explanation:
Multiply each coordinate by 5, and your result is given above.
Answer:
Step-by-step explanation:
13. The Cyclone Coaster has 16
cars. Some of them hold 2
passengers and some hold 3
passengers. If there is room for
36 people altogether, how many
cars hold 3 passengers?
Answer:
Four cars that can hold 3 passengers
Step-by-step explanation:
The number of cars on the Cyclone Coaster = 16 cars
The number of passengers some cars hold = 2 passengers
The number of passengers the other cars hold = 3 passengers
The number of people altogether the Cyclone Coaster has room for = 36 people
Let x represent the number of cars that can hold 3 passengers, and let y represent the number of cars that can hold 2 passengers, we have;
3·x + 2·y = 36...(1)
x + y = 16...(2)
The value of x can be found by making y the subject of equation (1) and equation (2) and equating both values of y given in x as follows;
The value of y from equation (1) is, y₁ = (36 - 3·x)/2 = 18 - 3·x/2
∴ y₁ = 18 - 3·x/2
The value of y from equation (2) is, y₂ = 16 - x
Equating both y values, to find the coordinates of the common point to both equations, gives;
At the common point y₁ = y₂
By the substitution property of equality
∴ 18 - 3·x/2 = 16 - x
3·x/2 - x = 18 - 16 = 2
x/2 = 2
∴ x = 4
The number of cars that can hold 3 passengers, x = 4
(From y₂ = 16 - x, we have
y₁ = y₂ = 16 - 4 = 12
y = 1
The number of cars that can hold 2 passengers, y = 12).
Use the figure to find the Total Area.
Answer:
60
Step-by-step explanation:
Multiply length times width times height
Answer:
C or 104
Step-by-step explanation:
I assume this is surface area, and I don't know what kinda sadist person would make everyone learn in "Total Area," but it is what it is.
So, to find total area, we need to literally multiply every different number with the other.
(You should not do it the way I did, as I did it in the easiest and simpliest way to understand possible.)
Actually, you get the length, width, and height of a figure and do what is below pretty much.
You multiply the length by the width, the length by the height, and the width by the height (doesn't have to be in this order, this is just to make it easy to remember which ones you did.)
We multiply the
5 * 6
5 * 2
and then the
6 * 2
This accounts for every possible case, as multiplying 2 * 5 gives the same thing as the second expression anyways.
So we then solve these three expressions.
5 * 6 = 30
5 * 2 = 10
and then the
6 * 2 = 12
And we add them to get
30 + 10 + 12
= 52.
Then we multiply by 2, because there are two cases of each face of the shape.
You need to remember that there is 3 other faces on the shape you are looking at, it's just that the shape/figure is facing you in a way that you can't see them.
After multiplying by 2, we get
52 * 2
= 104, which is C.
TAKE A SCREENSHOT NOT A PICTURE AS WE DON'T NEED TO SEE SOME 420P MONITOR FROM 1987 THAT SHOWS EVERY PIXEL PLEASE AND THANK YOU :D
Exercise A Rewrite each of the following expressions. Use the
words divided by. Then set up the division problem. Look at the
examples on the top of this page.
Miles per hour
Answer:
gansjehensjhebebsbbvevbeb
Step-by-step explanation:
bebbdnxnbahwv sbbhw €6%×:nbbe
I need help to find m =
Answer:
hlo buddy
are u free now.. nhjm....
find the inequality represented by the graph
Answer:
y < 5/2x + 5
Step-by-step explanation:
slope goes up 5, then over 2 ( 5 on top, 2 on bottom --> 5/2)
y intercept is +5
Answer:
Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y = x/2
9. Find the zero of the polynomial in each of the following
i)f(x) = 3x- 5
Answer:
[tex]f(x) = 3x - 5[/tex]
For a zero, f(x) = 0:
[tex]{ \tt{0 = 3x - 5}} \\ { \tt{x = \frac{5}{3} }}[/tex]
14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks. (3 marks) REPOST
Answer:
Step-by-step explanation:
peter can buy pack of nine pencils
6 divided by 1.68 =3.5
9 divided by 2.34=3.8
package 2 is just 0.3 more
it give 3 more pencils for 0.3
Find the value of y.
Defenation of time, distance and speed
v2 = u2 + 2as
u = 12
a = -3
s = 18
work out v
[tex] {v}^{2} = {u}^{2} + 2as \\ {v}^{2} = 144 - 108 \\ {v}^{2} = 36 \\ v = 6 , -6 \: [/tex]