Given:
y = 3x - 5y = -6x - 5Multiplying y = 3x - 5 by 2:
=> 2(y = 3x - 5)y = -6x - 5
=> 2y = 6x - 10y = -6x - 5
Adding both equations:
=> 3y = -15Dividing 3 both sides:
=> y = -5Substitute the value of y into any equation.
y = -6x - 5=> -5 = -6x - 5=> 0 = -6xDivide -6 both sides.
=> x = 0/-6 = 0Solution (2):Given:
y = 8x - 9y = -8x + 7Add both the equations.
y = 8x - 9y = -8x + 7
2y = -2Divide 2 both sides.
2y = -2=> 2y/2 = -2/2=> y = -1Substitute the value of y into any equation.
y = 8x - 9=> -1 = 8x - 9Add 9 both sides.
=> -1 + 9 = 8x - 9 + 9=> 8 = 8xDivide 8 both sides.
=> 8/8 = 8x/8=> x = 1Solution (3):Given:
-x + 6y = 21y = -5x + 12Reorganize the first equation.
-x + 6y = 21=> 6y = x + 21Multiply the first equation by 5.
5(6y = x + 21)y = -5x + 12
30y = 5x + 105y = -5x + 12
Add both the equations.
31y = 117Divide 31 both sides.
31y = 117=> 31y/31 = 117/31=> y = 117/31Substitute the value of y into any equation.
-x + 6y = 21=> -x + 6(117/31) = 21=> -x + 702/31 = 651/31Subtract 702/31 both sides.
=> -x = 651/31 - 702/31=> -x = -51/31=> x = 51/31HELPPP FOR BRIANLEST???!
Answer:
3/17
Step-by-step explanation:
multicolored and 1 passenger (3) over total (17)
3/17 doesn't simplify
how can you justify inequalities in one triangle
Answer:
The greater angle and greater side theorem states that within a triangle, longer sides lie opposite larger angles, and the triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side.Alex wants to pay off his credit card balance before he gets married. He decides to take the $2,300 out of his savings and apply it to his credit card debt of $5,390. The credit card has an APR of 16. 5%. What will Alex's minimum monthly credit card payment be in order to pay off his debt in 14 months? a. $109. 40 b. $190. 83 c. $244. 15 d. $572. 32.
Answer:
$244.51
Step-by-step explanation:
Credit card payment =$5390
After paying $2300 from savings account,
Remaining payment left = 5390-2300 = $3090
APR = 16.5% or 0.165
Time (t) = 14 months = 14/12 years
Using credit card payment calculator,
Monthly payment = $244.15
Hence, minimum monthly payment to be made to pay off the whole debt in 14 months = $244.15
6 of 10
© Decrease 20g by 25%
g.
Answer:
15g
Step-by-step explanation:
Method A: Calculate the percent first
If you decrease an amount by 25%, you end up with 75% of the amount.
75% of 20g = 0.75 × 20g = 15g
Method B: Calculate the decrease first
We start with 20g. To decrease 20g by 25%, we calculate 25% of 20g.
25% of 20g = 0.25 × 20g = 5g
The decrease amount is 5g.
Now we subtract 5g from 20g.
20g - 5g = 15g
A cylinder and its dimensions are shown in the diagram. Which measurement is closest to the lateral surface area of the cylinder in square inches? 1,597.9 in2 677.3 in2 555.7 in2 1111.4 in2
Answer:
555.7 in²
Step-by-step explanation:
Lateral surface area of a cylinder is the "side" surface area only. Lateral SA does not include the surface area of the 2 circular ends.
[tex]\textsf{lateral SA}=2\pi rh[/tex]
(where r is the radius and h is the height)
Given:
diameter = 8.8 in ⇒ radius = 4.4 inheight = 20.1 inSubstituting these values into the formula:
[tex]\implies \textsf{lateral SA}=2\pi \cdot 4.4 \cdot 20.1[/tex]
[tex]\implies \textsf{lateral SA}=555.7 \textsf{ in}^2 \textsf{ (nearest tenth)}[/tex]
Evaluate the expression
Answer:
12
Step-by-step explanation:
Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should the length of the third side be). Write the inequalities for each case. 22 and 15
Answer: 7<x<37
Step-by-step explanation:
what is the output on this graph when the input is 2?
How to find input and output from the co-ordinates on the graph?
If a pair be (x,y) then x is the input and y is the outputHere the co-ordinate having x=2 is
(2,0)So the output is 0
Every pair have ( x , y ) which means x is input and y is output .
Here , input is 2 (x)
then , let output be y ( indicate with 0 )
So , the co- ordinates are ( x , y ) = ( 2 , 0 ) .
Write expression without absolute value |120+x| if x<-120
The expression without absolute value |120+x| if x<-120 is -120 - x
How to write an absolute value of an expressionGiven the absolute value expression |120 + x|
If x < -120, the resulting expression will be;
|120 + x| = -(120 + x)
|120 + x| = -120 - x
Hence the expression without absolute value |120+x| if x<-120 is -120 - x
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how many soultions does 6-3x=4-x-3-2x
Answer:
No solution
Step-by-step explanation:
Im not 100% sure this is right, I looked it up????
Step-by-step explanation:
I don't really understand your question as in how many solutions.
Well if its to combine like terms the solution is below.
6-3x = 4-x-3-2x
combining like terms.
Note: Any sign to be taken across the sign (=) changes. e.g From + to - ...
6-4+3= 3x-x-2x
5 = 0
The Question is incorrect.PLEASE HELP
Which formula represents a linear function?
A
area of a circle: A = tr^2
B
volume of a sphere: V = 4/3tr^3
С
area of a square: A = s^3
D
circumference of a circle: C = 2tr
t = pi
Answer:
Option D
Step-by-step explanation:
Standard equation of a linear function
Ax+By+C=0Means the degree is 1
Let's observe
Degree 2(tr^2)Degree 3(r^3)Degree 3(s^3)degree 1Option D is correct
The measure of an angle is 11.3°. What is the measure of its supplementary angle?
Answer:
168.7
..
..
..
.
.................
a function has factors of (x-2) and (x + 3) which graph could represent the function
Answer:
the fourth choice.
Step-by-step explanation:
it has to be a parabola that crosses the x axis at positive 2 and negative 3
Dennis drove for 12 minutes and went 8 1/2 miles in a time. At this rate, how many miles can he drive in one hour
In a right triangle, sin (x+4)^\circ(x+4)
∘
= cos (3x+2)^\circ(3x+2)
∘
. Find the larger of the triangle’s two acute angles
The larger of the triangle’s two acute angles is 65 degrees
Angles in a triangleGiven the expression
sin(x+4) = cos(3x + 2)
Since sin theta = cos(90 - theta), hence;
cos(90 - (x+4)) = cos(3x +2)
cos(86 - x) = cos (3x+2)
Cancel out the cosine functions to have:
86 - x = 3x + 2
-4x = -84
x = 21
Substitute x = 21 into the expression
sin(x+4) = Sin25 =
Hence the larger of the triangle’s two acute angles is 65 degrees
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PLEASE HELP DUE SOON! THANK YOU ( Will give brainliest!!!)
Consider that a barn loft is shaped like a rectangular pyramid, as ahsown. Calculate the volume of the loft.
A)2,750 ft3
B)4,375 ft^3
C)6,425 ft^3
D)13,125 ft^3
Answer:
B
Step-by-step explanation:
answer is B, 4,375 ft^3
[tex]V= \frac{lwh}{3}=\frac{25 x 35 x 15}{3} = 4 ,375ft^3[/tex]
(x = multiplication symbol)
Helpppp due today—-l
Image
if you need more help comment
Find the measure of b.
Answer:
I'm not so sure but it's 90°
If Joshua borrows $300 from his older sister to buy a bike and he promises to pay the total amount plus 5% simple interest in one year how do I describe how to find the total amount to pay on a loan when paying simple interest
Answer:
you multiply 300 by 5 % and that gives you 15
Step-by-step explanation:
Blake is signing a lease for a studio apartment that rents for $425/month. How much will Blake pay to move in if he must pay the first and last months’ rent and a security deposit equal to 50% of his monthly rent? $637. 50 $850. 00 $1062. 50 $1275. 0.
Answer:
(c) $1062.50
Step-by-step explanation:
The total of the rental and security deposits amounts to two and a half months' rent:
2.5 × $425 = 1062.50
It will cost Blake $1062.50 to move in.
Algebra
> 5.18 Standard form: find x- and y-intercepts 8SN
You have prizes to reveal! Go to y
Tutorial
Find the x-intercept of the line 20x - 17y = 15.
Write your answer as an integer or as a simplified proper or improper fraction, not as an
ordered pair.
Step-by-step explanation:
the line is
20x - 17y = 15
I am not sure what your teacher uses as "standard form".
the works is split between "point-slope" and "slope-intercept" form as "standard".
I usually pick "slope-intercept" :
y = ax + b
with a being the slope and b being the y-intercept.
in any case, we can find the x-intercept without bringing the line equation to one of these forms.
because x-intercept simply means that y = 0.
and for y=0 the original equation is then
20x - 17×0 = 15
20x = 15
x = 15/20 = 3/4
Solve the quadratic equation x2 − 4x = 21 by factoring.
Answer:
[tex]x=7, x=-3[/tex]
Step-by-step explanation:
Bring the 21 on the LHS:
[tex]x^2-4x-21=0[/tex]
At this point we need to find two numbers whose product is -21, and whose sum is -4.
From the product we can tell that one has to be positive, and one is negative.
From the sum, we can tell that the greater of the two is negative.
At this point we look at the factors of 21: 1,3,7,21.
In particular, 3 and -7 added togheter do -4, which is what we need. At this point we can factor the trinomial as
[tex](x-7)(x+3)=0[/tex]
Considering that a product is zero if any of the factors is zero, it's:[tex]x-7=0 \rightarrow x=7\\x+3=0 \rightarrow x=-3[/tex]
Aaron is having his birthday party at King's Castle Laser Tag. He is making crowns for his guests to wear. He opens a bag of 100 stick-on gems. His sister asks for some, so he gives her 12 gems. He evenly divides the remaining gems among the 8 crowns.
Answer: 11 gems
Step-by-step explanation:
After Aaron gives 12 gems to his sister, he is left with 100-12 gems = 88 gems.
If he divides the gems evenly among the crowns, each one will have 88/8 gems = 11 gems.
lien walked 7/8 mile in 1/4 hour. what was her speed in miles per hour
Answer:
3.5 miles per hour of speed
Step-by-step explanation:
Given:
Distance Lien walked = 7/8 of a mile = 0.875 milesTime of walking = 1/4 of an hour = 15 minutesTo find:
Let's use the Direct Rule of Three Distance in miles 2. Time in minutes0.875 15
x 60
-----------------------------------------------------------------------------15x = 0.875 * 6015x = 52.5x = 52.5/15x = 3.5-----------------------------------------------------------------------------Answer: 3.5Answer: Lien walked 3.5 miles per hour of speed.
Step-by-step explanation:
Distance Lien walked = 7/8 of a mile = 0.875 miles
Time of walking = 1/4 of an hour = 15 minutes
Distance in miles Time in minutes
0.875 15
x 60
Calculations:
15x = 0.875 * 60
15x = 52.5
x = 52.5/15
x = 3.5
Hope this wasn't too confusing and it helps you out!
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,596 was collected on the sale of 1,216 tickets. How many of each type of ticket were sold?
Step-by-step explanation:
Suppose adult tickets are x ticket
Student tickets are 1216 - x ticket
x(5) + (1216 - x)(1) = 2596
5x + 1216 - x = 2596
4x = 2596 - 1216
4x = 1380
x = 345
Adult tickets have 345 tickets
and student tickets have 1216 - 345 = 871 tickets.
Steve started an after-school homework club. The club starts with 6 members and 3 more students join each
week. Define variables and write an equation to model the number of students in the club.
Answer:
y: students in the clubx: weeks after it was formedmodel: y = 3x +6Step-by-step explanation:
We are told to model the number of students in the club. That is the dependent variable, so we will assign 'y' to that quantity. The number of students in the club is a function of the number of weeks since it was formed, so we can assign 'x' to that independent variable.
The initial value of y is 6, and it increases by 3x (that is, 3 students each week). The model of the number of homework club students can be ...
y = 3x +6
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
These two triangular prisms are similar. Figure 2 is similar to figure 1 by a scale factor of 4.
If the perimeter of [tex]ABC[/tex] is 21 cm, the perimeter of [tex]PQR[/tex] is cm.
The perimeter of the face PQR is 84 cm.
What is perimeter?The perimeter of an object is the sum of the lengths of the sides of the object.
Given that, there are two similar triangular prisms. Figure 2 is similar to figure 1 by a scale factor of 4.
We know that, the ratio of the perimeters of similar objects is equal to their scale factor.
Therefore,
P(ABC) / P(PQR) = 1/4
21 / P(PQR) = 1/4
P(PQR) = 84
Hence, the perimeter of the face PQR is 84 cm.
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Hello! How to do question 5 (iii)?
Answer:
using your brain you have to find it on your own
Jill has an old bike. her parents gave her 40$ to repair it new tires is 21$ she also wants to buy a bell 5$ and a basket 13$ how much will she have left
Answer:
1$
Step-by-step explanation:
Her total amount is 40$
She then buys the tires(tires = 21$) so she bought that subtract 21$ from 40$ 40$ - 21$=19$
She next wanted to buy a bell so she did the bell was 5$ so subtract 5$ from 19$ 19$-5$=14$ left
So remember she has 14$ left and she is buying a basket which is 13$ so her buying the basket is remaining her with 1$ because basket is 13$ and she has 14$ so what is 14$-13$ it is 1$ and there's your answer.
1$
__________
Hope this helps have a awesome afternoon:)
please someone tell me the answers to these I dont remember how to do distributive property
Answer:
Step-by-step explanation:
Hope this help