Answer:
It is -3x+24
Step-by-step explanation:
2x-3x is -x or -1x
It can also be simplified further using multiplication.
3(2x-3x+8)
3(-x+8)
-3x+24
An 8-ounce bottle of lotion costs $4.50. Find the Unit Rate. hint: What is the cost per ounce?
Answer:
approximately 56 cents
Step-by-step explanation:
4.5/8
I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value
Answer:
Q is -7
Step-by-step explanation:
Q×2+5=x
Q-2=x
Q=-7
- 3/4f = 5/4
f = ??
find f
Answer:
the answer to that, f= -5/3
Problem Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter. Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
Complete question :
Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.
Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
How much will Sathish pay for gas?
Answer:
$64.8
Step-by-step explanation:
Given that :
Total length of trip = 2100 km
Length of journey with Satish alone in the car:
(150km) beginning + (150km) ending = 300km
Length of journey with Satish and 2 friends :
2100 km - 300 km = 1800 km
Gas consumption:
6 liters per 100km
Cost of gas = $1.2 / litre
Consumption when Satish is alone :
(6 litres /100 km) * 300km = 18 litres
Cost = $1.2 * 18 = $21.6
Consumption with his 2 friends :
(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres
Cost = $1.2 * 108 = $129.6
Since amount is shared equally :
Amount paid by sattish = $129.6 / 3 = $43.2
Hence, total amount paid by Sattish is :
$21.6 + $43.2
= $64.8
Answer:
64.80 or 64.8
Step-by-step explanation:
whatever works <333
Solve for x in the picture below
Answer:
X = 4
Step-by-step explanation:
Given : Both the triangles are congruent.
And, LM = QR ;
Therefore,
=>. 2x + 11 = 3x - 9
By interchanging.....
=> 11 + 9 = 3x + 2x
=>. 20 = 5x
=> 4 = x
Or,
=> x = 4
Hope it's help you.... ^_^A botanist is collecting data from a particular species of plant. The scientist found that the data is normally distributed with a mean value of =147 μ = 147 cm and standard deviation of =30 σ = 30 cm. If the sample size is =4000 N = 4000 how many specimens have a height greater than 73 73 cm
Answer:
3972.72 specimens
Step-by-step explanation:
We solve using the z score formula:
z = (x-μ)/σ where
x is the raw score = 73 cm
μ is the population mean = 147 cm
σ is the population standard deviation = 30 cm
N is the number of samples = 4000
For x > 73
z = 73 - 147/30
z = -2.46667
Probability value from Z-Table:
P(x<73) = 0.0068189
P(x>73) = 1 - P(x<73) = 0.99318
The probability of having a height greater than 73cm is: 0.99318
The number of specimens that have a height greater than 73cm is calculated as: 0.99318 × 4000
= 3972.72 specimens
19. To the nearest year, how long would an investment need to be left in the bank at 2%, compounded annually, for the investment to double. A. 34 years C.36 years D. 37 years B. 35 years 20 Sam inhorito 150
Answer:
B. 35 years 20 Sam inhorito 150
Step-by-step explanation:
Which property was used to simplify the expression?
distributive property
commutative property
associative property
inverse property
Answer:
distributive property
Answer:
distributive prop.
Step-by-step explanation:
Linear or Not?
10y = 4x
Is it linear or not yes or no
Answer:
no
\
Step-by-step explanation:
Is the following a function ?
Triangles XYZ and RST are similar. XY
is 24 inches, YZ is 16 inches, XZ is
12 inches, RS is 18 inches, and RT is
9 inches. Find the length of ST.
Answer:
g
Step-by-step explanation:
Consider points A(1, 6) and B(8, 8). Find point C on the x-axis so AC +BC is a minimum.
The point that minimizes AC +BC is C (_ , _)
Answer:
The coordinates of the point C that minimizes AC + BC are (-20, 0) or (4, 0)
Step-by-step explanation:
The given coordinates of the points A and B are A(1, 6) and B(8, 8)
The location of the point C = The x-axis
Therefore;
The coordinates of the point C = (x, 0)
The length of the segment AC = √((1 - x)² + (6 - 0)²) = √((1 - x)² + 6²)
The length of the segment BC = √((8 - x)² + (8 - 0)²) = √((8 - x)² + 8²)
At minimum distance of AC + BC, we have;
d(√((1 - x)² + 6²) +√((8 - x)² + 8²))/dx = 0 = (1 - x) × 2 × (0.5 - 1)× (√((1 - x)² + 6²)^(0.5 - 1) + (8 - x) × 2 × (0.5 - 1)× √((8 - x)² + 8²)^(0.5 - 1)
∴ d(√((1 - x)² + 6²) +√((8 - x)² + 8²))/dx = 0 = -(1 - x)/√((1 - x)² + 6²) - (8 - x)/√((8 - x)² + 8²)
-(1 - x)/√((1 - x)² + 6²) = (8 - x)/√((8 - x)² + 8²)
(8 - x)·√((1 - x)² + 6²) = -(1 - x)·√((8 - x)² + 8²)
Squaring both sides gives;
(8 - x)²·((1 - x)² + 6²) = (1 - x)²·((8 - x)² + 8²)
Expanding, using an online tool, we get;
x⁴ - 18·x³ + 133·x² -720·x + 2368 = x⁴ - 18·x³ + 161·x² - 272·x + 128
Which gives;
(161 - 133)·x² - (272 - 720)·x + 128 - 2368 = 28·x² + 448·x - 2240 = 0
Dividing by 28 gives;
x² + 16·x - 80 = 0
(x + 20)·(x - 4) = 0
Therefore, x = -20 or x = 4
The coordinates of the point C that minimizes AC + BC are (-20, 0) or (4, 0)
The coordinates of a point is the position of the point, on the coordinate plane.
The point C that minimizes AC + BC are (-20, 0) and (4, 0)
The given parameters are:
[tex]\mathbf{A = (1,6)}[/tex]
[tex]\mathbf{B = (8,8)}[/tex]
From the question, we understand that point C is on the x-axis.
This means that:
[tex]\mathbf{C = (x,0)}[/tex]
Calculate segments AC and BC using the following distance formula
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{AC = \sqrt{(1 - x)^2 + (6 - 0)^2}}[/tex]
[tex]\mathbf{AC = \sqrt{(1 - x)^2 + 6^2}}[/tex]
[tex]\mathbf{BC = \sqrt{(8 - x)^2 + (8 -0)^2}}[/tex]
[tex]\mathbf{BC = \sqrt{(8 - x)^2 + 8 ^2}}[/tex]
Add both distance
[tex]\mathbf{AB + BC = \sqrt{(1 - x)^2 + 6^2} + \sqrt{(8 - x)^2 + 8^2}}[/tex]
Differentiate, to calculate the minimum distance
[tex]\mathbf{d' = (1 - x) \times 2 \times (0.5 - 1) \times ((1 - x)^2 + 6^2)^({0.5 - 1}) + (8 - x) \times 2 \times (0.5 - 1) \times ((8 - x)^2} + 8^2))}^{(0.5 - 1)} }[/tex]
Simplify
[tex]\mathbf{d' = -\frac{1 - x}{\sqrt{(1 - x)^2 + 6^2}}- \frac{8 - x}{\sqrt{(8 - x)^2 + 8^2}}}[/tex]
Set to 0
[tex]\mathbf{ -\frac{1 - x}{\sqrt{(1 - x)^2 + 6^2}} - \frac{8 - x}{\sqrt{(8 - x)^2 + 8^2}} = 0}[/tex]
Rewrite as:
[tex]\mathbf{ -\frac{1 - x}{\sqrt{(1 - x)^2 + 6^2}} = \frac{8 - x}{\sqrt{(8 - x)^2 + 8^2}} }[/tex]
Cross multiply
[tex]\mathbf{(8 - x) \times\sqrt{(1 - x)\² + 6\²} = -(1 - x) \times\sqrt{(8 - x)\² + 8\²}}[/tex]
Square both sides
[tex]\mathbf{(8 - x)^2 \times (1 - x)\² + 6\² = (-(1 - x))^2 \times (8 - x)\² + 8\²}[/tex]
[tex]\mathbf{(8 - x)^2 \times (1 - x)\² + 6\² = (1 - x)^2 \times (8 - x)\² + 8\²}[/tex]
Expand
[tex]\mathbf{x^4 - 18x^3 + 133x^2 -720x + 2368 = x^4 - 18x^3 + 161x^2 - 272x + 128}[/tex]
Evaluate like terms
[tex]\mathbf{133x^2 -720x + 2368 = 161x^2 - 272x + 128}[/tex]
Collect like terms
[tex]\mahbf{161x^2 - 133x^2 - 272x + 720x + 128 - 2368 = 0}[/tex]
[tex]\mathbf{28x^2 + 448x - 2240 = 0}[/tex]
Factor out 28
[tex]\mathbf{28(x^2 + 16x - 80) = 0}[/tex]
Divide through by 28
[tex]\mathbf{x^2 + 16x - 80 = 0}[/tex]
Expand
[tex]\mathbf{x^2 + 20x - 4x - 80 = 0}[/tex]
Factorize
[tex]\mathbf{x(x + 20) + 4(x + 20) = 0}[/tex]
Factor out x + 20
[tex]\mathbf{(x + 20)(x - 4) = 0}[/tex]
Solve for x
[tex]\mathbf{x =- 20\ or\ x = 4}[/tex]
Hence, the point C that minimizes AC + BC are (-20, 0) and (4, 0)
Read more about coordinate points a:
https://brainly.com/question/18154638
Type the correct answer in each box. If necessary, use / for the fraction bar.
Find the solution to this system of equations.
Answer:
I is 1/2 Y is 1/2 in Z is a half
What is the solution to the equation 2x – 4 = 6?
A) X=1
B) x=4
C) x= 5
D) x=8
Answer: C.x = 5
2x - 4 = 6
⇔ 2x = 10
⇔ x = 10/2 = 5
Step-by-step explanation:
a science center has v visitors on the first day of an special exhibit and 200 visitors on the second day what is the average number of visitors per day over the two days
f(x)=4x+2 and g(x)=4(x−9)+2.
What transformation occurs from function f to function g?
Answer:
horizontal translation of 9 units right and 2 units up
Step-by-step explanation:
I think this is right.
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has.
If r is 23 cup, how many batches of cookies can Tyra make?
Enter your answer in the box.
Answer:
1223 ÷ 23 = 53.1739130435
find the linear equation from the points (-2,-6) and (2,-3)
Answer:
y = 3/4 x - 9/2
Step-by-step explanation:
find the slope by (y2-y1)/(x2-x1) and then substitute a point in
I need the answers bad
Answer:
Im not 100% sure but i think these are the right answers
Step-by-step explanation:
∠2 = 82°
∠3 = 98°
∠4 = 82°
Randolph is creating rectangle WXYZ so that WX has equation of y = 1/4x + 4. Segment XY must pass through the point (-2,6). Which of the following is the equation for XY?
Answer:
A. y - 6 = ¼(x - (-2))
Step-by-step explanation:
Equation of a line can be represented in the point-slope form, y - b = m(x - a),
Where, (a, b) is a point that the line passes through, and m is the slope of the line.
The equation of line WX, is given in the slope-intercept form, y = mx + b. Which is y = ¼x + 4.
Thus, the slope (m) = ¼.
Since we know the value of m = ¼, and we have a point that the line runs through, (a, b) = (-2, 6), let's write the equation in point-slope form by substituting m = ¼, a = -2, and b = 6 into y - b = m(x - a).
We have:
y - 6 = ¼(x - (-2))
The answer is A
Answer:
Answer:y - 6 = - 4(x - (-2))
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line
whose equation is y = 4x + 1?
Answer:
-4x-1
Step-by-step explanation:
Perpendicular means opposite i think
Answer:
The slope would be -4 since perpendicular lines are lines that meet at a right angle
What is the answer please hurry
Answer:
I dunno
Step-by-step explanation:
I need help please !
Answer:
3) B is congruent toE
Step-by-step explanation:
B is congruent to E helps you prove triangle ◇ABC is similar to ◇ DEF, not congruent to it.
Find the measure of the numbered angle.
Answer:
1 = 37° 2 = 57°
Step-by-step explanation:
All the angles in a triangle have the sum of 180°The small box in the corner of the angle represents 90°To Find Angle 1
Add -----> 90 + 53 = 143Subtract -----> 180 - 143 = 37To Find Angle 2
In the middle of the two shapes, they come to a point making them vertical angles. This means if one side is 90° the other side is also 90°Add -----> 90 + 33 = 123 Subtract -----> 180 - 123 = 57A boat took 2 hours to travel 24km down a river. And 3 hours to travel back upstream. Find the spread of the boat in still water at the speed of the current.
help MATH ASAP MARKING BRIANLIT!!
Answer:
-41
Step-by-step explanation:
The change is -2
(-2*20)-1 = -41
uhm can i get a brain dump moment right here(btw i pick a random subject)
Answer:
liquid
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppppppppp
-3 1/5 ÷2 1/5
Answer:
−16×5 / 5×11
= -16/11
Kylie lives 4/5 kilometer from her friend's house. She has walked
5/8
of the distance. How many kilometers has Kylie walked so far?
Answer:
she has walked half of the journey
can i have brainliest please
PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X
Answer: 2x+4=10
Step-by-step explanation:
because each notebook would cost $3 so 2 x 3 = 6 +4=10
Answer:
first
2x + 4 = 10
2x+4=10
2x+4=10
Solve
1
Subtract
4
4
4
from both sides of the equation
2
+
4
=
1
0
2x+4=10
2x+4=10
2
+
4
−
4
=
1
0
−
4
2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}
2x+4−4=10−4
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
6
2x=6
2x=6
3
Divide both sides of the equation by the same term
2
=
6
2x=6
2x=6
2
2
=
6
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}
22x=26
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
x=3
x=3
Solution
=
3
Second one
6 = 10
2
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
5
3
x=\frac{5}{3}
x=35
Solution = 5/3
i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way