Answer:
x=7/13, y=19/13, z=74/13
Step-by-step explanation:
Add or subtract multiples of equations to eliminate one variable. I picked z to eliminate.
Subtract the 1st equation from the 2nd equation.
2x + 2Y = 4 or x + y = 2 or y = -x + 2, then
Multiple the 2nd equation by 2 and subtract the 3rd equation.
9x - 4y = 5 then sub (-x + 2) for y from previous step.
9x - 4(-x +2) = 5
13x -2 = 5
13x = 7
x = 7/13
plug that into either of the step 1 equations to gey y.
y = -x + 2
y = -7/13 + 2
y = 19/13
then plug the found x and y into any one of the original equations to get z.
-x + 2y - 2z = -9
-7/13 + 2(19/13) - 2z = -9
31/13 - 2z = -9
-2z = -9 - 31/13
-2z = -117/13 - 31/13 = -148/13
z = 74/13
harry is a shopkeeper, every month he spends $2000 for running the shop. he sells all the goods at 25% more than its. purchase price. what should be the total sales made by him in a month so that hè can earn a profit of $3000 every month.
A. $12000
B. $15000
C. $20000
D. $25000
Answer:
D i think
Step-by-step explanation:
its just a guess
Find the surface area of the cone in terms of pi
17 cm height
3 cm radius
Not drawn to scale
Answer:
[tex]60\pi\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The total surface area of a cone with radius [tex]r[/tex] and slant height [tex]\ell[/tex] is equal to [tex]SA=\pi r\ell+r^2\pi[/tex].
What we're given:
[tex]r[/tex] of 3 cm[tex]\ell[/tex] of 17 cmSubstituting given values, we get:
[tex]SA=3\cdot 17\cdot \pi+3^2\pi,\\SA=51\pi+9\pi,\\SA=\boxed{60\pi\:\mathrm{cm^2}}[/tex]
List all the even numbers less than 50,
then find the probability that a number
selected at random:
a) is a multiple of 5.
b) is between 10 and 30.
c) is the number 12.
d) has its square less than 40.
Step-by-step explanation:
Even numbers less than 50={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48}
Total=24
Multiples of 5={10,20,30,40}
Probability (multiple of 5)=4/24
=1/6
P(between 10 and 30)=12,14,16, 18, 20, 22, 24, 26, 28
Total=9
Probability=9/24
=3/8
Probability is number 12
=1/24
Probability it has square less than 40
=(4,36)
Two numbers
Probability=2/24
=1/12
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: 46º
Step-by-step explanation:
The Triangle Sum Theorem states that all triangles’ angles add up to a total of 180º. Therefore, to find X, just set up an equation.
70+64+X=180
134+X=180
-134 -134
X=46
Hope this helps!
Alaina has $28 in her account .she wants to purchase a pair of shoes that costs $45 .if alaina makes the purchase which integer will represent the amount of money in alaina account?
--Answer--
negative integer
--Explanation--
28 - 45 = -17; the number subtracting is greater than the original number.
what is the cost for 23 yards of cloth at 85.62 per yard
Answer:
1,969.26
Step-by-step explanation:
If a yard costs 85.62, we can present this as;
y = 85.62
Therefore, to find the cost of 23 yards, we can represent the above equation as;
23y = x
since we already know the value of y, we can say that
x = 23(85.62)
so,
x = 1,969.26
What is the equation of the line that passes through the points
(-3, 6) and (-3, 8)?
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).
Typically, we would start with finding the slope of the line. However, notice how the two x-coordinates in the given points are both -3. This means that this is a vertical line, with an undefined slope.
Vertical lines have their equations organized differently: [tex]x=d[/tex] where d is the x-intercept, or the value of x when y is 0.
Because the x-coordinates in all the points a vertical lines passes through are the same, the x-intercept would therefore be -3. Plug this into the equation [tex]x=d[/tex]:
[tex]x=-3[/tex]
I hope this helps!
PLEASE HELP DONT SKIP I NEED YOU
Find the number of different outfits that can be made from 3 sweaters, 4 shirts, and 6 pants. Then find the probability of selecting a particular sweater, shirt, and pants outfit.
outcome -
Probability (as a fraction) -
Answer:
72 outfits possible,
1/72 chance of selecting a particular outfit
Step-by-step explanation:
For each of the 3 sweaters, there are 4 shirts to choose from, and for each of those 4 shirts, there are 6 pants to choose from. Therefore, there are totally [tex]3\cdot 4\cdot 6=72[/tex] outfits to choose from (order is fixed and therefore negligible). A specific outfit would represent 1 of these 72 outfits. Therefore, the probability of selecting a particular outfit is [tex]\boxed{\frac{1}{72}}[/tex]
Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?
Answer:
The answer is "[tex]125 \ in^2[/tex]"
Step-by-step explanation:
There is a base of five on every triangular face and a height of ten in. The field of the formulation
[tex]A = (\frac{1}{2})bh \\\\A = (\frac{1}{2} \times 5\ in \times 10\ in)[/tex]
[tex]= \frac{50 }{2} \ in^2\\\\=25 \ in^2\\\\[/tex]
The base of the square has a formula area
[tex]A = s^2 = (5\ in)^2 = 25 \ in^2[/tex]
The total area consists of the sum of the four-face area and the base: [tex]total \ \ area = 4 \times \text{(area of 1 face) + (area of base)}[/tex]
[tex]= 4 \times (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2[/tex]
change for the interval from x = 8 to x = 9.
A. 19,683
B. 13,122 O
C. 3
D. 6561
Answer:
its b
Step-by-step explanation:
nahazbzbzhzhzhzhshhs
====================================================
Explanation:
We keep multiplying each rate of change by 3
The rate of change from 6 to 7 is 486*3 = 1,458The rate of change from 7 to 8 is 1,458*3 = 4,374The rate of change from 8 to 9 is 4,374*3 = 13,122 which points us to choice B-----------------
Another way to find the answer is to notice we have a geometric sequence going on here. The first term is a = 2 and the common ratio is r = 3.
The nth term is a(r)^(n-1) which becomes 2(3)^(n-1)
Plugging in n = 1 leads to the result 2. If you plug in n = 2, then you should get 6, and so on.
Plug in n = 9 and we get 2(3)^(9-1) = 13,122
Write a real-life word problem that can be solved using the system of equations below. Include a definition of the variables. x + y = 325 y = x + 27
Answer:
The sum of Ade and Shola is 325. Shola is 25 years older than Ade. Find their present ages.
Step-by-step explanation:
Let x be the present age of Ade
Let y be present age of Shola
x + y = 325 means that the sum of their age is 325
y = x + 25 means that the Shola is 25 years older than Ade
Problem statement
The sum of Ade and Shola is 325. Shola is 25 years older than Ade. Find their present ages.
Solve the absolute value inequalty ⎜3x + 5⎟≤ - 2 a No Solution b - 2 ≤ x ≤ - 7 c All real numbers d -7/3 ≤ x ≤ -3/7
Answer:
Step-by-step explanation:
First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!
Just to show you how to solve this kind of problems:
1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2
3x ≤ - 5 - 2
3x ≤ - 7
x ≤ - [tex]\frac{7}{3}[/tex]
2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2
3x + 5 ≥ 2
3x ≥ - 3
x ≥ - 1
x ∈ ∅
if i have £100000 what is 47.6% OF THE MONEY
Answer:
Step-by-step explanation:
it maybe 11,000 i am not sure but i hope this helped
Answer:
47,600.00
Step-by-step explanation:
I just did a math test with that exact same Question.
9. A skydiver jumps from a plane at
12,500 ft. She free falls for 30 sec. and
drops to 4,608 ft. After the parachute
is pulled, the skydiver descends at a
rate of 960 ft./min. What is the total
time of the jump?
(A) 4.8 min
B 5.1 min
5.3 min
0 16 min
Step-by-step explanation:
write the one digit in the square of each of the following numbers
a.13
Which equation represents the graphed function?
y = –2x + 3
y = 2x + 3
y = x + 3
y = –x + 3
Answer B
What expression represents the profit, and what is the profit if 240 cell phones are sold? 40x-30; $ 2,400 40x-30; $ 9,570 70+50; $ 16,850 70+50; $ 28,800
Answer:
C: 70 x + 50 = $ 16, 850
Step-by-step explanation:
The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is
Answer:
The other rational number in the operation given is:
6/5Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
r * 15/14 = 9/7Where:
r = the other rational number.Now we are going to solve r to identify its value in numbers:
r * 15/14 = 9/7[tex]r = \frac{\frac{9}{7} }{\frac{15}{14}}[/tex] (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)[tex]r = \frac{6}{5}[/tex]As you can see, when we operate, the result is 6/5, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
r * 15/14 = 9/76/5 * 15/14 = 9/79/7 = 9/7In this form, we know the result is correct.
I NEED HELPPP is it 112 or 56 ?????
Sina + sin2a + sin3a + ... + Sinna
Answer:
sinasinasinasinaStep-by-step explanation:
this ia my answer pag pinagsama lahat ng sina
Solve the following system graphically.
y < - x
y =< x - 2
Upload one solution of the system and your graph
Answer:
a solution of the system is the point that satisfies both the equations
(1, -1) is a solution of the system
Which of the following is the best use for the sign chart when graphing
rational functions?
O A. To determine if the graph of F(x) is straight or curved
O B. To determine the slope for the graph of F(x)
O C. To determine where the vertical asymptotes are for the graph of
F(x)
O
D. To determine where the maximum is for the graph of F(x)
SUBMIT
To determine where the maximum is for the graph of F(x)
hahaha help:)))))))))
Answer:
1332 i think is how it will be writen
Step-by-step explanation:
Answer:
121,212
Step-by-step explanation:
im not 100% sure
Help plz
Character limit = EEEEEEEEEEEEEEEEE
Answer:
160 [tex]cm^{3}[/tex]
Step-by-step explanation:
We know it is square based, so we know that the sides are the same.
Therefore the length is also 4.
4 * 4 * 10
=160
solve the system of equations:
2x+y=12
3x-y=3
show work pls
Answer:
x = 3; y = 6
Step-by-step explanation:
Using elimination method:
2x + y = 12
+. (the y will cancel out)
3x - y = 3
5x = 15
therefore, x = 15
5
x = 3
substitute x in one of the equations
2(3) + y = 12
6 + y = 12
y = 12 - 6
y = 6
therefore y = 6
jose bought "n" packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils "p" that josé bought.
Answer:
nx12=p
Step-by-step explanation:
So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.
need help!! question is on the picture.
Answer:
√d=4×5
√d=20
square both sides
√d²=20²
the square cancels the square root
d=400
Name the quadrilateral ?
Answer:
Rectancle
Step-by-step explanation:
Has four sides and four edges
Answer:
A rectangle
Step-by-step explanation:
A rectangle has 4 sides, in which the opposite angles are equal.
In here, AD = BC & AB = CD
Hope u understood
Please mark as brainliest
Thank You
Helpppppp y’alllllllllll
Answer:
[tex]V=83.73\ in^3[/tex]
Step-by-step explanation:
The capsule is in the shape of two hemispheres and cylinder.
The volume of the container = volume of two hemispheres + volume of cylinder
The radius of the container, r = 2 in
Height of the cylindrical part, h = 8 in - 4 in = 4 in
So,
[tex]V=2\times \dfrac{2}{3}\pi r^3+\pi r^2 h\\\\=\dfrac{4}{3}\pi r^3+\pi r^2 h\\\\V=\pi r^2 (\dfrac{4}{3}r+h)[/tex]
Put all the values,
[tex]V=3.14\times 2^2 (\dfrac{4}{3}\times 2+4)\\\\V=83.73\ in^3[/tex]
So, the volume of the container is equal to [tex]83.73\ in^3[/tex].
Alex's dog weighs 5 pounds. About how
many grams does Alex's dog weigh since
1 pound is equivalent to about 454 grams?
Answer:
2270 grams
Step-by-step explanation:
If the dog is 5 pounds and 1 pound=454 grams, do 454x5=2270
Find the missing length indicated.
Answer:
x= 108
Step-by-step explanation:
use the altitude theorem:
altitude ² = projection of side 1* projection of side 2
x² = 144* (225-144)
x² = 144*81
x= √144*81
x= 108