Answer:
Step-by-step explanation:
0.15x-0.08(26,500-x)=98.00
15x-212000+8x=98,500
23x+212000=98,500+212000
23x/23= 310500/23
x = 13500 (was invested in the account that gained 15% )
26500-13500=13000 (was invested in the account that lost 8%.)
Some methods for graphing equations work well with certain equations and some don’t. Knowing which method to select based on the given equation is a valuable skill. You have learned three methods to graph equations. These methods are:
y = mx + b
find intercepts
use a t-chart
A. Post your response to the discussion board.
Using the following 3 equations, answer the questions:
11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18
How can you determine which equations can be graphed more easily using x- and y-intercepts, rewriting in slope-intercept form, or using a table of values?
Which method works best for you personally? When does it not work as well?
Answer:
Step-by-step explanation:
I tried to translate "11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18"
This is what I got:
11x + y = 4
x+y=-2
x-2y=18
For me, personally, I need to rewrite these equations into standard format of y=mx+b (slope intercept):
-------
11x + y = 4
y=-11x+4
-------
x+y=-2
y=-x-2
-------
x-2y=18
2y = x-18
y=(1/2)x-9
------
For each one I can find the y-intercept easily: (4, -2. and -9). I can quickly generate a second point by assuming a convenient value for x (one that makes the calculation simple).
1. y=-11x+4 let x = 1; y = -7 : (1,-7)
y=-x-2 let x = 2; y= -4 : (2,-4)
y=(1/2)x-9 let x= 2; y=-8 : (2,8)
The y-intercepts tell us at point on the line for each equation:
(4, -2. and -9) means points at (0,4), (0,-2) and (0.-9)
Now we have two point for each line equations. All we have to do is mark those two points for each equation and draw a line through them. Easy!
The two points for each equation are:
1. (1,-7), (0,4)
2. (2,-4), (0,-2)
3. (2,8), (0.-9)
This always works well for equation of lines. More comples equations involving parabolas, etc., are more easily graphed using tables of the results of various x inputs.
Find the missing variable in the diagram below.
60 + (3x - 13) = (5x + 1)
60 + 3x - 13 = 5x + 1
3x - 5x = 1 - 60 + 13
-2x = -46
-2x / -2 = -46 / -2
x = 23
Answer: x = 23
Could anyone help me with this? The question is provided on the attachment
Answer:
100°C
Step-by-step explanation:
Substitute in the values:
C = 5/9 × (212 - 32)
Simplify:
C = 5/9 × 180
1/9 of 180 = 20 (180 ÷ 9)
∴ 5/9 of 180 = 100°C (20 × 5)
Answer:
c=100C°
we learn that in intermational school
How many solutions does the system have?\begin{cases} y = 9x-5 \\\\ y = 9x+6 \end{cases}⎩⎪⎪⎨⎪⎪⎧y=9x−5y=9x+6Choose 1 answer:Choose 1 answer:(Choice A)AExactly one solution(Choice B)BNo solutions(Choice C)CInfinitely many solutions
The solution to the given equations has infinitely many solutions
Given the following set of equations:
y = 9x - 5
y = 9x + 6
Equating both expressions
9x - 5 = 9x + 6
Collect the like terms
9x - 9x = 6 + 5
0x = 11
x = 11/0
x = ∞
This shows the solution has infinitely many solutions
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Answer: b
Step-by-step explanation: bc khan
Are the ratios 2:3 and 4:6 equivalent? Explain your answer.
PLSS HELP ME
Answer: Yes
Step-by-step explanation:
2:3 is the same as (2/3) and 4:6 is the same as (4/6). (4/6) can be reduced by dividing both sides by 1/22: (4/6)*(1/2)/(1/2) = 2/3, They are the same.
Using the slope formula, find the slope of the line through the given points.
(12,0) and (4, -2)
Answer:
1/4
Step-by-step explanation:
We know :-
m = (y2 - y1)/x2 - x1Substitute ,
m = ( 0 -(-2)) / ( 12-4) m = 2/8 m = 1/4Solve the system of equations by the substitution method. x+4y=6 y=3−x
Answer:
x = 2, y = 1
Step-by-step explanation:
x + 4y = 6 and y = 3 - x have to be rearranged: x + 4y = 6 and x + y = 3
You subtract the equations to eliminate one of the variables (x) so that the other can be found
6. 2(x + 6) = 3(x + 1)
7. -2(4x+1) = 3(x+3)
8. 2(5x + 9) = 10x + 18
9. -5(x + 6) = -5x + 9
10. (h+20) = -5(h-6)
11. 3(2x-5) = -(x+1)
12. -3(d+1) = -2(3d-9)
Answer:
Hope this helps you
Step-by-step explanation:
6. x = 9
7. x = -1
8. x = True of all
9. no solution
10. h = 5/3
11. x = 2
12. d = 7
What is the midpoint of this segment
Answer:
(1,1)
Step-by-step explanation:
Find mLJKL if mDKL = 80°
and mJKD=65º.
there is the answer to your problem
Problem:
−(−8y−6.6z−10)
Please help me if possible!
what is the answer ..
Answer:
m = 5, -1/3
don't know if this is right or wrong
Answer:
if the questio is 3m-7 over 4 -2 than
Step-by-step explanation:
the awanser is 3/4m+ -15/4
Find the simple interest.
Principal
$160
Rate
5.5%
Time
4 years
The simple interest is
(Simplify your answer.)
Answer:
$35.20
Step-by-step explanation:
S.I. = (P×R×T)/100
=(160×5.5×4) /100
= (640×55) / 100×10
= (64×55) / 100
= 3520 / 100
= $ 35.20
brainliest plz
i need help its math
Answer:
[tex]x=47[/tex]°
Step-by-step explanation:
A box has 200 socks, 20 are blue and the rest are red. A person draws socks at random from the box, hoping to find a pair of blue socks. (a) Suppose that m socks are taken without replacement. Let Y be the random variable that counts the number of blue socks in the sample of m. What is the pmf of Y
Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...
if y=0.9 when x=2.4, find y when x=6.4
Answer:
2.4
Step-by-step explanation:
You have to divide 6.4 by 2.4 to get 2.66666666667.
Then you multiply 2.66666666667 and 0.9 to get 2.4
When x = 6.4, y = 2.4
Hope this helps!
I will give you brainliest if you solve the math question
Answer:
x=70
y=55
Step-by-step explanation:
We can start by finding the opposite angle to 125.
180-125=55
We would use 180 because a line is a straight angle, therefore if you intercept the line both angles would add up to 180.
55 is y because they are equivalent.
the sum of all the angles is always 180 so...
55+55=110
180-110=7
A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5cm/sec and increased the travel time by 15 minutes. what is the distance between point a and point b?
Answer:
60
Step-by-step explanation:
time * speed
in seconds 60x *4 = 2.5(60x + 900)
x= 25
25 min * 4cm/2
distance = 60 meters
CHEck!!!
Using a system of linear equations, the distance between points A and B is 6000 cm
Initial speed = 4cm/secTime taken = Distance / speed
Let ; distance = d
To time :
t = d / 44t = d ______(1)Fro time :
(t + 15 × 60) = d / 2.5
2.5(t + 900) = d
2.5t + 2250 = d ______(2)
Equate (1) and (2)
4t = 2.5t + 2250
4t - 2.5t = 2250
1.5t = 2250
t = 1500 seconds
From (1) :
d = 4t
d = 4(1500)
d = 6000 cm
Therefore, the distance from point A to B is 6000 cm
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James has a piece of construction paper with a length of 9/10 feet and a width of 2/3 feet.
What is the area of James's piece of construction paper?
Area = length x width
When you multiply fractions, multiply top number by top number and bottom number by bottom number:
9/10 x 2/3 = (9 x 2) / (10 x 3) = 18/30 this can be reduced by dividing both numbers by 6:
18/30 reduces to 3/5
Answer: 3/5 square feet
Which expression has a value between 0 and 1?
a. (1/2)^5 × (1/2)^10
b. (-3)^5
c. 4^-7 × 4^9
d. 2^2/2^-5
Answer:
a. (1/2)^5 × (1/2)^10
Step-by-step explanation:
HOPE IT HELPS YA
which ordered pair is a solution to the equation
If a van traveled 180 miles in 3 hours, how far could the van travel in 7 hours?
Answer:
42 miles
Step-by-step explanation:
180/3=6 6x7=42
Answer:
420 miles in 7 hours
Step-by-step explanation:
You divide 180 by 3 to get how much the van is traveling per hour. When you get the answer 60 multiply it by 7 then you have 420 miles in 7 hours.
lou's car had 6.6 gallons of gas
Answer:
so they have 6.6 Gallons?
Step-by-step explanation:
Please Help Me I Will Give You The Brain Thing And Extra Points.
Write the equation of the line that has a slope of 2 and passes through the point (-3,4)
A)y = 2x - 2
B)y = 2x + 2
C)y = 2x + 7
D)y = 2x + 10
Find the value of X, rounded to the nearest tenth.
A. 31.8
B. 31.4
C. 10.3
D. 10.7
Answer:
31.4
Step-by-step explanation:
x=18/sin35
x= 31.38
=31.4(nearest tenth )
HELP! NOW!
During a sale at a store, sweaters are being sold at a 65% discount. Let x represent the discount on sweaters. The shirts have the same discount as the sweaters. Let y represent the discount on shirts. The pants do not have the same discount as sweaters. Let z represent the discount on pants. Which statement is true? A. x ≠ y B. x = y C. z = x D. y = z
Answer:
B. x = y
Step-by-step explanation:
Since sweaters discount (x) and shirt discount (y) are the same like we are told, then they are equal.
A water ballon is launched straight up. The balloons flight is modeled by the function h(t)=16t^2+192t
Answer:Step by Step Solution
More Icon
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
h*(t)-(16*t^2+192*t)=0
STEP
1
:
Equation at the end of step 1
ht - (24t2 + 192t) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
ht - 16t2 - 192t = t • (h - 16t - 192)
Equation at the end of step
3
:
t • (h - 16t - 192) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.2 Solve : t = 0
Solution is t = 0
Equation of a Straight Line
4.3 Solve h-16t-192 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line h-16t-192 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
Calculate the X-Intercept :
When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000
h-intercept = 192/1 = 192.00000
Calculate the Slope :
Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.125/2.000 = 0.062
Geometric figure: Straight Line
Slope = 0.125/2.000 = 0.062
h-intercept = 192/1 = 192.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
t = 0
Step-by-step explanation:
6) Candace Parker bought some new furniture for her house. Tax was included in the price
of the furniture. She bought a chair for 213 dollars, a couch for $812.50, and a television
for $499.99. If she left a 15% tip on the final price of all the furniture how much would
she have paid in total for the furniture and the tip?
ning Carmelo Anthony
Answer:
$1,754,31
Step-by-step explanation:
Furniture = $213 + $812.50 + $499.99 = $1,525.49
15% * $1,525.49 = $228.82
Total = $1,525.49 + $228.82 = $1,754,31
Candace should have gone to Wayfair
write the equation for a line that passes through the points (5,5) and (7,-5)
Answer:
y = - 5x + 30
Start with the parent function y=|x|. List the transformations from the parent function to y=−|x+2|.
It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units
Explanation:
It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units
Look at the three graphs y=|x| in pink. y=-|x| in white and y=4-|x+2| in red