Answer:
x = 10
y = -2
Step-by-step explanation:
Elimination method:
6x - 5y = 70 -----------------(I)
7x + 2y = 66 -----------------(II)
Multiply equation (I) by 2 and equation (II) by 5 and add. So, y will be eliminated and you can now find the value of x
(I)*2 12x - 10y = 140
(II)*5 35x + 10y = 330 {Now add}
47x = 470
x = 470/47
x = 10
Plugin x = 10 in equation (II)
7*10 + 2y = 66
70 + 2y = 66
Subtract 70 from both sides
2y = 66 - 70
2y = -4
Divide both sides by 2
y = -4/2
y = - 2
the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)
Answer:
$469.80
Step-by-step explanation:
First, let's find out how many fees would be paid exclusively for renting it out for 14 days.
29.00 * 14 = $406
They have to pay 406 dollars just for having the car for 14 days.
Now let's find out how much will need to paid for driving for 320 km.
We can first take away 100 km because the fee only starts afterwards.
320 - 100 = 220
220 * 0.29 = 63.8
63.80 + 406 = 469.80
which equation has the steepest graph?
A. y=7x+3
B. y=8x-1
C. y=-10x-4
D. y=-2x+6
!$P¡D£R €ŁÆŃ!!$P¡D£R €ŁÆŃ!
Answer:
A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.
Answer:
I would go with D
Step-by-step explanation:
Because there are 4 possibilities.
1) they both land heads up
2) they both land tails up
3) one lands heads up and the other tails up
4) one lands tails up and the other heads up
Hope this helps!
I need help again plz
Find the solution to the equation 4r + 2(r - 8) = 4(3 + r).
Answer:
r = 14
Step-by-step explanation:
Use distributive property:
4r + 2r - 16 = 12 + 4r
Combine like terms:
6r - 16 = 12 + 4r
Isolate the variable:
6r = 28 + 4r
2r = 28
r = 14
Answer:
r = 14
Step-by-step explanation:
4r + 2(r - 8) = 4(3 + r)
4r + 2r - 16 = 12 + 4r
6r - 16 = 12 + 4r
6r - 4r - 16 = 12 + 4r - 4r
2r - 16 = 12
2r - 16 + 16 = 12 + 16
2r = 28
2r ÷ 2 = 28 ÷ 2
r = 14
A set of composite numbers less than 12 .express it in listing and set builder methods
Given:
A set of composite numbers less than 12.
To find:
The set by listing and set builder methods.
Solution:
Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.
Composite numbers less than 12 are 4, 6, 8, 9, 10.
By using the listing method , the given set can be expression as:
Set = {4, 6, 8, 9, 10}
The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.
By using set builder method, the given set can be expression as:
Set = [tex]\{x|x\neq P,1<x<12\}[/tex]
Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and [tex]\{x|x\neq P,1<x<12\}[/tex] respectively.
Please help will be marked as brainliest if correct
Answer:
I think the answer is three.
Use the number line to find the measure of SV
Answer:
8
Step-by-step explanation:
S = -7 to V= 1 you count from -7 to 1
The volume of a cylinder, V, in terms of radius, r,
and height, h, is given by V = πr 2
h. If a cylinder has
a height of 6 meters, express the radius as a function
of V and find the radius of a cylinder with volume of
300 cubic meters.
Answer:
See explanation
Step-by-step explanation:
Volume of a cylinder = πr²h
Solve for r
V = π * r² * h
r² = V/πh
Find the square root of both sides
r = √V/πh
If height = 6 meters and volume = 300 cubic meters. Find r
r = √V/πh
= √(300/3.14*6)
= √(300/18.84)
= √15.923566878980
r = 3.9904344223381
Approximately,
r = 4 meters
what is the measure of each exterior angle of a regular dodecagon?
Answer:
30°
Hope this answer is right!
Step-by-step explanation:
to go around the shape, you make a complete circle: 360°. So, divide 360° by the dodecagon's twelve exterior angles. Each exterior angle is 30°.
Podemos ver una muestra de laboratorio que contiene 32 bacterias inicialmente, y que luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora. ¿Al cabo de cuántas horas no quedará ninguna bacteria?. Resuelve utilizando potencias y sus propiedades.
Answer:
10 horas.
Step-by-step explanation:
Dado que una muestra de laboratorio contiene 32 bacterias inicialmente, y luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora, para determinar al cabo de cuántas horas no quedará ninguna bacteria se debe realizar el siguiente cálculo:
32 / 2 = 16
16 / 2 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
1 / 2 = 0.5
0.5 / 2 = 0.25
0.25 / 2 = 0.125
0.125 / 2 = 0.0625
0.0625 / 2 = 0.03125
Por lo tanto, al cabo de 10 horas no quedará ninguna bacteria.
Alicia is a music artist. Her income can be represented by the function, f(a) = 200 + 12a, where a represents the total number of albums sold.
What is an acceptable domain for this situation?
Answer:
The answer is below
Step-by-step explanation:
A function shows the relationship between the set of inputs (independent variable) to the set of outputs (dependent variables).
The domain of a function is the set of possible inputs (independent variable) that satisfies the functions.
From the question, the domain of the function is the set of all possible vales of the inputs which is a (number of album sold).
Hence the domain of the function is:
0 < a < ∞
Pls help ..
if A =
[4 3] is a singular matrix, find 'a'
[ a 3]
Answer:
a = 4.
Step-by-step explanation:
We know that:
[tex]A = \left[\begin{array}{ccc}4&3\\a&3\end{array}\right][/tex]
is a singular matrix, now we want to find the value of a.
We know that a matrix is singular if:
Det [A] = 0
Where remember that the determinant of a 2x2 matrix is given by:
[tex]M = \left[\begin{array}{ccc}k_{11&k_{12\\k_{21}&k_{22}\end{array}\right]\\\\det[M] = k_{11}*k_{22} - k_{12}*k_{21][/tex]
Then the determinant of A is:
Det [A] = 4*3 - a*3
and that must be zero, so:
4*3 - a*3 = 0
Now we just need to find the value of a:
12 - a*3 = 0
12 = a*3
12/3 = a
4 = a
So the value of a is 4.
Find the measure of angle "b"
Answer:
43°
Step-by-step explanation:
Angle B is congruent to the opposite angle.
How do you find the equation of a line of a triangle when given the area and one set of coordinates?
Which of the following graphs represent the dilation of
the given triangle XYZ with the center of dilation at the
origin with a scale factor 3?
Please I need it fast
Answer:
12y
Step-by-step explanation:
22/9 divided by 8, please hurry test is timed!
Answer:
0.30(5)
the 5 is repeating
Step-by-step explanation:
calculator
Please helppppppp meeee
Answer:
angle K is 30 degrees
Step-by-step explanation:
A triangle adds up to 180 degrees. since LM and KM are congruent angle L and M are both 75 degrees each you subtract from 180 and you get 30 degrees
Solve 4(x - 3) - 2x - 1) > 0
Answer:
x > 5.5
Step-by-step explanation:
4(x - 3) - (2x - 1) > 0
4x - 12 - 2x + 1 > 0
4x - 2x - 11 > 0
2x - 11 > 0
2x - 11 + 11 > 0 + 11
2x > 11
2x ÷ 2 > 11 ÷ 2
x > 5.5
Answer:
x>13/2
Step-by-step explanation:
4x-12-2x-1>0
2x-13>0
2x>13
X>13/2
Help please guys! Thank youuu
Answer:
Step-by-step explanation:
12b + 1 5c = 420
b ---> number of hour baby sitting
c-----> number of hours cleaning
c = 32 hours
Plugin c = 32 in the equation,
12b + 15*32 = 420
12b + 480 = 420
Subtract 480 from both sides
12 b = 420 - 480
12b = -60
So, This is not a reasonable value.
2) b = 10 hours
Plugin b = 10 hours
12*10 + 15c = 420
120 + 15c = 420
15c = 420 - 120
15c = 300
Divide both sides by 15
c = 300/15
c = 20 hours
He has to do cleaning for 20 hours
Yes, It is reasonable value
2 sin2 (π/2 sin2x)=1+cos(π×cos2x)
Answer:
3/5Step-by-step explanation:[tex]the \: equation \: is \: equivalent \: to \\ 2 \: { \sin }^{2} (( \: \frac{\pi}{2}) \: {cos}^{2} x ) = \\ \: 2 \: {sin}^{2} (( \frac{\pi}{2} sin \: 2x \: ) \\ = {cos}^{2} x = sin \: 2x \\ = \: \cos \: x(cos \: x \: - \: 2 \: sin \: x) \: = \: 0 \\ = \: 1 - 2 \tan \: x = 0 \: as \: cos \: x \: ≠ 0 \\ x ≠ (2n + 1) \frac{\pi}{2} \\ = \tan(x) = \frac{1}{2} \\ = \cos(2x) = \frac{1 - {tan \: }^{2}x }{1 + {tan \: }^{2} \:x } = \frac{3}{5} [/tex]
HOPE IT HELPS!!!!If it is correct mark as BRAINLIEST ✌️9r^6/ 5r^3g^2, 5n^5c^-6 times 2n^-5c^3, and 9g^-4yA^4/3g^6y^-2 using properties of exponents, all this for 10 points
Answer:
Step-by-step explanation:
5n⁵c⁻⁵ * 2n⁻⁵c³ = (5*2)*n⁵⁺⁽⁻⁵⁾ * c⁻⁶⁺³
=10*n° *c⁻³
= 10c⁻³ (n° = 1}
[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{9r^{6}}{5r^{3}g^{2}}=\frac{9}{5g^{2}}*r^{6-3}\\\\=\frac{9r^{3}}{5g^{2}}\\\\\\\\\frac{9g^{-4}y^{4}}{3g^{6}y^{-2}}=\frac{9}{3}*g^{-4-6}*y^{4-(-2)}\\\\=3*g^{-10}*y^{4+2}\\\\=3g^{-10}*y^{6}\\\\=\frac{3y^{6}}{g^{10}}[/tex]
SOMEBODY PLEASE HELP
Answer:
x=40
Step-by-step explanation:
1/5x=8
x=8*5=40
x=40
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?
5
B
С
4
3
2
A
D
1
-7 -6 -5 -4
-3 -2
-10
1
2
3
4
D' = ([?], [ ]
-2.
9514 1404 393
Answer:
D'(4, 0)
Step-by-step explanation:
(x, y) ⇒ (x +3, y -2)
D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)
The cost of one scooter is Rs.52,136. What is the cost of 34 scooters?
----------------------------------------------------------------------------------------------------------------------------
Rs.17,72,624
Rs.1,77,26,204
Rs.1,24,56,658
Answer:
Rs.1772624
Step-by-step explanation:
Multiply 52,236 by 34
Given f(x) and g(x) = k-f(x), use the graph to determine the value of k.
f(x)
g(x)
A. -5
B. -1/5
C. 1/5
D. 5
===========================================================
Explanation:
The point (-2,2) is on the red f(x) line. This point is marked in black.
It corresponds to the point (-2,-10) on the g(x) blue line.
The point (-2,2) moves to (-2,-10). The x coordinate stays at x = -2. The y coordinate has gone from y = 2 to y = -10. This is a jump of "times negative 5".
-5*2 = -10
So we see that k = -5
Saying g(x) = k*f(x) is the same as g(x) = -5*f(x)
Recall that y = f(x), so saying -5*f(x) is really saying "whatever the y coordinate is on f(x), multiply it by -5 to get the corresponding y coordinate on g(x)".
Answer:
-5
y = -x + 4 (red)
y=5x -20 (blue)
-5*(-x+4) = 5x-20
Step-by-step explanation:
How much is 3 lbs of gold worth I’m American money
Answer:
$1865
The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.
The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.
Please help I’ll give brainllist
Fill in the blank with <,> or = . 11.01-----11.001
Answer: Greater than sign
In other words, 11.01 > 11.001
========================================================
Explanation:
For each given number, move the decimal point 3 spots to the right.
The value 11.01 becomes 11010
The value 11.001 becomes 11001
Since 11010 > 11001, this means 11.01 > 11.001
---------------
As an alternative method, you can subtract the values to see which is larger
The rule or idea is that
(large) - (small) = positive(small) - (large) = negativeFor example, 5-2 = 3 showing that 5 is larger than 2. As another example, 7-9 = -2 meaning 7 is smaller than 9. The order of subtraction matters.
In this case, 11.01 - 11.001 = 0.009 showing that 11.01 is larger than 11.001
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
