Answer:
x = -3
Step-by-step explanation:
4(2 - 4x) - 3x = 65
Distribute the 4.
8 - 16x - 3x = 65
Combine like terms.
8 - 19x = 65
-19x = 57
Divide by -19 to isolate x.
x = 57/-19
x = -3
Check.
4(2 - 4(-3)) - 3(-3) = 65
4(2 - (-12) + 9 = 65
4(14) + 9 = 65
56 + 9 = 65
65 = 65
The solution of the given linear equation 4(2 - 4x) - 3x = 65 is -3.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:
4(2 - 4x) - 3x = 65
Multiply the expressions inside the brackets,
8 - 16x -3x = 65
8 - 19x = 65
Subtract 8 from both the sides,
-19x = 65- 8
-19x = 53
Divide both side by -19
[tex]x = \dfrac{-53}{19}[/tex]
Thus, the value of x is -3.
Learn more about equations here:
https://brainly.com/question/14686792
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PLEASE HELP ME ILL GIVE BRAINLIEST ITS DUE SOON OMG
Answer: He was given 50 for his birthday
Answer:
It's b
Step-by-step explanation:
This was the first answer I gave. So I am going with it.
a quadratic equation has two roots: -2 and 3.
Answer: B) Crossing the x-axis at -2 and 3
Step-by-step explanation:
The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drives around the curve. He never drives above the speed limit. At what speed (s) was Mr. Gerard driving before the curve? Write and solve an inequality
Answer Mr. Gerard speed was at most 25 miles per hour before the curve
Step-by-step explanation:
How to solve the speed Mr. Gerard was driving before the curve
Let’s just assume that Gerard went exactly the speed limit 15 miles per hour (mph) after when he slowed down by 10 miles per hour and drove around the curve. The reason why I’m using exactly 15mph is because it’s the max speed he can go. He can go 15 miles per hour and still be safe, but it’s just that he can’t go any faster than that.
Now, you can do 15 + 10 to find the speed he went before he drove around the curve. So, that would be 25mph before he drove around the curve.
You might be asking: What if he went slower than 25mph before he drove around the curve, and what if he went faster than 25mph?
-When he drives exactly 25mph and slows down by 10mph when he makes the turn around the curve, he’s going exactly 15mph which it safe for him because it’s not faster than 15mph.
-It could be possible that he went slower than 25mph before he drove around the curve, but he still will be safe because when he makes the turn around the curve and slows down by 10 miles per hour, now he’ll reach below 15 miles per hour which is even safer for him. Here’s an example for you to understand: Let’s say he drove 23mph before the curve (which is less than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 13mph, which is less than the speed limit 15mph. You can take any number less than 25mph and he’ll still be safe because it will be less than 15mph.
-Now, if he went faster than 25mph, he wouldn’t be safe anymore because after when he slows down by 10mph and goes around the curve, he’ll be above the speed limit of 15mph. Here’s an example for you to understand: Let’s say he drove 27mph before the curve (which is faster than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 17mph, which is faster than the speed limit 15mph.
Answer: Mr. Gerard speed was at most 25 miles per hour before the curve
Graphing it
A way to graph this is to write out a compound inequality. You can write it as:
0 < y ≤ 25 ⇒ Where any speed has to be less than or equal to 25 miles per hour, because 25 miles per hour is the most/biggest speed Mr. Gerard can drive. But it has to be greater than 0 because you can’t go negative miles per hour, or 0 miles per hour
The graph is shown below ↓
I don’t know what graph you want, or how your teacher wants you to graph it. So I put two options for you :)
I hope you understand and that this helps with your question! :)
Evaluate the expression when a= 1/4 and b = 6.
16a2 – 4b=
Step-by-step explanation:
HERE,
a=[tex]\bold{\dfrac{1}{4} }[/tex]
b=6
so,
According to the question,
[tex]\bold{16a^2-4b }[/tex]
[tex]\bold{16\times(\dfrac{1}{4})^2-4\times 6 }[/tex]
[tex]\bold{ 16\times \dfrac{1}{16}-24 }[/tex]
[tex]\bold{\cancel{16}\times \dfrac{1}{\cancel{16}}-24 }[/tex]
[tex]\bold{1-24 }[/tex]
[tex]\bold{ -23 }[/tex]
need answer ASAP 30 points
Please help with this math qs!!
Step-by-step explanation:
Find the radius: 6 ÷ 2 = 3m
Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m
Area = pi x 3cm x 3cm = 28.27m2
Calculate the circumference and area of given triangle.
Formula applied:Circumference of circle = 2πr
Area of circle = πr²
Solution:Radius,r = diameter/2 => 6/2 = 3 m
( i ) As we know that formula of circumference,
Circumference of circle = 2πr
[tex] \bf \: \star \: putting \: the \: values[/tex]
[tex] \implies \: 2 \times 3.14 \times 3[/tex]
[tex] \implies \: 6.28 \times 3[/tex]
[tex] \implies \: 18.84 \: m[/tex]
(ii) As we know,
Area of circle = πr²
[tex] \bf \star \: putting \: the \: values[/tex]
[tex] \implies \: 3.14 \times {(3)}^{2} [/tex]
[tex] \implies \: 3.14 \times 9[/tex]
[tex] \implies \: 28.26 \: m {}^{2} [/tex]
PLSSSSS HELP ME!!! 80 Points!!
What is the apparent solution to the system of equations?
y = -2 +2
y=40 +7
Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the point tool.
Answer:
y=−x+2y=4x+7 NO
y=−x+2 YES
y=4x+7
Multiply the first equation by 4, obtaining: 4y = -4x + 8
Add the 2nd equation to this result: y = 4x + 7
--------------------
5y = 15, and y = 3
Then, using the first equation, determine x:
y = 3 = -x + 2
1 = -x, so x = -1
The solution is (-1, 3)
Answer: (-1; 3)
Step-by-step explanation:
y = -x + 2
y = 4x + 7
4x + 7 = -x + 2
4x + 7 + x - 7 = - x + 2 + x - 7
5x = - 5
x = - 1
y = 4(-1) + 7
y = 3
Intersection point: (-1; 3)
See the solution on the photo
Help needed. Will mark brainliest. Please help:c
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost of owning and operating a printer :
Purchase Cost = $100
Printing per per page = $0.05
Thus, owning and operating cost :
Purchase cost + (Printing per page * number of pages)
Number of pages = p
100 + 0.05p
Service cost :
Amount per page = 0.25
Total revenue = cost per page * number of pages
Total revenue from service =. 0.25p
The equation :
100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue
It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.
100 + 0.05p = 0.25p
100 =0.25p - 0.05p
100 = 0.20p
p = 100/0.2
p = 500
When number of pages equals 500; the owning and operating cost is equal to the revenue made.
Does this table represent a proportional relationship?
Yes
No
no
the table does not represent a proportional relationship.
Anne is playing golf. On the first tee, she hits a slow shot down the Y = x -0.0 4X squared, we are why is the balls hide in the air and eggs is a horizontal distance in his drawer from the tea. The distance or measured in feet how far from the tea does the ball hit the ground
Answer:
25 ft
Step-by-step explanation:
The path of the golf ball is given by the equation.
[tex]y=x-0.04x^2[/tex]
The point on the ground where the ball will land on the ground is the point where [tex]y=0[/tex].
[tex]x[/tex] is horizontal distance
So
[tex]0=x-0.04x^2\\\Rightarrow x(1-0.04x)=0\\\Rightarrow 1-0.04x=0\\\Rightarrow x=\dfrac{1}{0.04}\\\Rightarrow x=25[/tex]
So, the ball will land 25 ft away from the tee.
help im a transfer i dont understand this
Answer:
You can graph them on desmos and see which is a linear (literally looks like a line)
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppppp
10z + 3 =9z solve for z
z=-3
Step-by-step explanation:
Answer:
z = -3
Step-by-step explanation:
10z + 3 = 9z
10z + 9z - 3
10z - 9z = -3
z = -3
yoko is saving money to buy a bike that costs 125$.She has 60 and will add an additional 5 each week.In how many weeks will she have enough to buy the bikw
Answer:
13 Weeks
Step-by-step explanation:
Yoko currently has $60 so if she gains $5 each week simply 5x13=65
$60+$65=$125
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!
Answer:
1. AD
2. 5.2 cm
3. x = 4
4. BC
5. 3
6. x = 12
Step-by-step explanation:
Solve the system.
2x – 6y= -4
6x – 8y = 18
Answer:
Step-by-step explanation:
2,9
Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Answer:
the answer is 29
Step-by-step explanation:
good luck! <33
Answer:
The answer is 203
Step-by-step explanation:
I started off by dividing 609 by 3 and your answer is on the top. You're welcome!!
Solve for x please!!!!!nowwww
Answer:
x = 37
Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.
Decrease £280 by 15%
Answer:
238
Step-by-step explanation:
280 times 0.85 = 238
PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)
Answer:
(x-3)(x-5)
Step-by-step explanation:
Answer:
x = 3 or x= 5
Step-by-step explanation:
Δ = (-8)² - 4×15
= 64- 60
=4
and 4≥0
so x = (8 - √4 )÷2 = 3
or x= (8 + √4 )÷2 = 5
so P(x) = (x-3) (x-5)
A train at a constant speed and goes 7.5 kilometers in 6 minutes. At the rate:
How far does the train go in 1 minute?
How far does the train go in 100 minutes?
Answer:
The distance covered by a train in 1 minute = 1.25 kilometers
The distance covered by a train in 100 minutes = 125 kilometers
Step-by-step explanation:
The distance covered = 7.5 kilometers
Time taken = 6 minutes
Calculating unit rate
unit rate = 7.5 kilometers / 6 minutes
= 1.25 kilometers per minute
Thus,
The distance covered by a train in 1 minute = 1.25 kilometers
and
The distance covered by a train in 100 minutes = 1.25 × 100
= 125 kilometers
If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M
Answer:
d-"5"_""__"_'uvyctxycuvycycycyv
Jamie puts an initial $900 into a savings account. The account has a 7% annual compound interest rate. What is the function that best represents Jamie's account and how much does he have in savings after 5 years? Round your answer to the nearest dollar.
Hint: Use the formula, f(x) = P(1 + r)x
A. f(x) = 900(1.7)x, $1,081
B. f(x) = 900(1.07)x, $1,262
C. f(x) = 900(1.07)x, $1,081
D. f(x) = 900(0.07)x, $1,262
Answer:
D. f(x)=900(0.07)^x.1,262
Step-by-step explanation:
You would have to use the P(1+r)^x
P= starting amount
R= rate of change or the percentage changed into a decimal
x= time
So it would be, 900(1+0.07)^5
calculating that you would get 1,262.3. but approximately it's 1,262.
Hope this helped
Convert the following repeating decimal to a fraction in simplest form.
.6
Answer:
2/3
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
0.6 is a repeating decimal in this case, so you can round it to .7
From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7).
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
Answer:
Step-by-step explanation:
Each point moves 3 times the distance from the center of dilation that it was.
You can compute the new coordinates by ...
L = P - O . . . . . the length from O to P is P-O for some point P and origin O
Then 3 times that distance is
3L = 3P -3O
We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O. We get ...
P' = 3L +O = 3P -3O +O
P' = 3P -2O
So, for the lower left point A(-2, -7), the dilated image point A' is ...
A' = 3(-2, -7) -2(2, -7) = (-6, -21) +(-4, 14) = (-10, -7)
That is, ...
A' = 3A +(-4, 14)
The coordinates of the remaining points can be found similarly.
___
On a graph, it is usually fairly easy to count the grid squares in each direction between the point of interest and the center of dilation. The image point is 3 times the distance in each direction (horizontally, vertically).
Answer:
See the attached picture
Step-by-step explanation:
Verified correct with test results.
Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step
Answer:
5,040 jumps
Step-by-step explanation:
Let's figure out the number of jumps per hour
42 steps/minute * 60 minutes/hour = 2,520 jumps/hour
Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.
2,520 jumps/hour * 2 hours = 5,040 jumps
A compound is made up of various elements totaling 90 ounces. If the total amount of uranium in the compound weighs 18 ounces, what percent of the compound is made up of uranium? If necessary, round your answer to the nearest hundredth.
Answer:
20%
Step-by-step explanation:
The percent of the compound that is made of uranium is calculated as:
(Number of ounces of uranium /Number of ounces of the compound)
× 100
Total amount of uranium in the compound weighs = 18 ounces
A compound is made up of various elements totaling = 90 ounces.
Hence:
= 18/90 × 100
= 1800/90
= 20%
Therefore, the percent of the compound that is made up of uranium is 20%
What is the product of d – 9 and 2d2 + 11d – 4?
2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36
Answer:
A.
2d3 – 7d2 – 103d + 36
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
here is a math question
Answer:
D.
Step-by-step explanation:
Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)
Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5
Answer:
use the slope equation (y2-y1) / (x2 -x1). plug in values and solve
(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)
-8 / 12 (simplify)
m = -2/3
then, plug in one of the points and the slope into the slope-point equation.
(y - y1) = m (x - x1) (the point-slope form)
y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)
y - 7 = -2/3x - 2 (add 7 to both sides)
y = 2/3x +5 (the answer)
Step-by-step explanation:
I hope this helps :))