Answers
x=21
Step-by-step explanation:
• 8x - 7 = 9x - 28
(group like terms)
• 8x - 9x = -28 + 7
• -1x = - 21
(negative cancels out)
• x = 21
Related Questions
Input in standard form the equation of the given line that passes through (-1,-3) and (2, 1)
Answers
Answer:
y=4/3x-5/3
Step-by-step explanation:
We can use the slope formula, m=(y2-y1)/(x2-1), to find the slope.
1-(-3)/2-(-1)=4/3
We can subsitute now that we have the slope.
y=4/3x+b
-3=4/3(-1)+b
-3+4/3=b
b=-5/3
y=4/3x-5/3
On his most recent math test, Jeremy answered 48 questions correct out of 80 total questions. Which statement can be made about Jeremy's math test?
Answers
Answer:
Jeremy has gotten more than half of the test's questions correctly.
Step-by-step explanation:
To get half of the questions correctly, Jeremy needed at least 40, and Jeremy got more than 40, meaning he got more than half.
A random sample of 84 students at a university showed an average age of 22 years and a sample standard deviation of 3 years. Find the margin of error for the 94% confidence interval. (Assume that the population of students is large relative to the sample size. Round your solution to 4 decimal places)
Answers
Answer:
The margin of error for the 94% confidence interval is 0.6154.
Step-by-step explanation:
The (1 - α)% confidence interval for population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error of this interval is:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The critical value of z for 94% confidence level is, z = 1.88.
Compute the margin of error for the 94% confidence interval as follows:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=1.88\times\frac{3}{\sqrt{84}}\\\\=0.6154[/tex]
Thus, the margin of error for the 94% confidence interval is 0.6154.
Find the equation of the line.
6
The line is parallel to y =--x + 1 and passes through the point (-7, -3).
7
The equation of the line is
Answers
Answer:
y = - x - 10
Step-by-step explanation:
y - (- 3) = - (x + 7)
y = - x - 10
whats the answer for this pre algebra equation
1-c+4c-29
Answers
you invest $4500 into an interest earning account that compounds daily at 5%.How much will you have in 6 years.How much interest will you earn
Answers
Answer:
4500*1.05^(365*6) = 1.1422929e+50
answer choices are
A:45°
B:180°
C:61°
D:119°
Answers
Answer:
Option c: 61° is the correct answer
Step-by-step explanation:
By the diagram attached with the question, we can conclude that a transversal is interesting two parallel lines which results in formation of 8 angles.
Angle 3 and angle 5 are interior angles on same side of transversal.
When a transversal intersects two parallel lines, the interior angles on same side of transversal are supplementary angles i.e. their sum is 180°
So using this
m∠3+m∠5 = 180°
m∠3 + 119° = 180°
m∠3 = 180°-119°
m∠3 = 61°
Hence,
Option c: 61° is the correct answer
Allyn's room is located at (3, -3). Use words to describe the location on a
coordinate plane.
Will name brainest for the first great answer with a explanation
Answers
Her room's location is 3 right from the origin, or (0,0) , and 3 down from the origin. She is in the 4th quadrant.
(I'm not quite sure how I'm supposed to describe it...)
What is the distance between (-3,-5) and (-3, 2)?
Answers
Answer: 7 units
Step-by-step explanation:
Just plot the numbers, then count the distance between them
n = 2, a = 16
"Find the indicated real nth root(s) of a.
Answers
x^2 = 16
Square root of 16 = 4
The root is 4
The value of the indicated real nth root(s) of a will be 4.
What is square root of a number?A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The values are,
⇒ n = 2, a = 16
Now,
Since, We know that;
The indicated real nth root(s) of a = [tex]\sqrt[n]{a}[/tex]
Here, The values are,
⇒ n = 2, a = 16
Thus, The indicated real nth root(s) of a is,
⇒ [tex]\sqrt[n]{a}[/tex]
⇒ ²√ 16
⇒ 4
Thus, The indicated real nth root(s) of a = 4.
Learn more about the indicated nth root visit:
https://brainly.com/question/12114551
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Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?
Answers
Answer:
1/6
Step-by-step explanation:
2/3*1/4
=2/12
=1/6
PLS GIVE BRAINLIEST
Hope this helps :)
determine the intersepts of the lines
Answers
Answer:
Y-intercept is (0, 100) and the X-intercept is (-250, 0)
Step-by-step explanation:
For the y-intercept the line from the origin does not move left or right and stays at 0 but it goes up by 100.
For the x-intercept the line does not go up and down but it goes to the left -250.
If his truck pulls forward with a force of 2,750 newtons and the weight of the trailer pulls backward with a force of 2,790 newtons, which of the following statement is true?
A.
The truck will experience a net force of 2,750 newtons forward.
B.
The forces acting on the truck and trailer are balanced.
C.
The truck and trailer will experience a net force of 40 newtons backward.
D.
The truck and trailer will experience a net force of 40 newtons forward.
Answers
Answer:
The answer is c
Step-by-step explanation:
Please help me solve for all the numbers
Answers
Answer: 10,8,5 are all right angles (90 degrees) 7,6,9,2 are all acute angles and are 42 degrees
1 and 3 are obtuse angles and they are 117 degrees.
Step-by-step explanation:
What is the LMC of 10 and 8
Answers
Answer:
The LCM of 10 and 8 is 40.
Hope I helped :)
Least common multiple would be (LCM) of 8 and 10 is 40.
What are the roots of the equation 3x^2-4x+4=0?
Answers
Answer:
[tex]x=\frac{2(1\pm i\sqrt{2} )}{3}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]√-1 is imaginary number iStep-by-step explanation:
Step 1: Define
3x² - 4x + 4 = 0
a = 3
b = -4
c = 4
Step 2: Find roots
Substitute: [tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(3)(4)} }{2(3)}[/tex]Simplify: [tex]x=\frac{4\pm\sqrt{(-4)^2-4(3)(4)} }{2(3)}[/tex]Evaluate: [tex]x=\frac{4\pm\sqrt{16-4(3)(4)} }{2(3)}[/tex]Multiply: [tex]x=\frac{4\pm\sqrt{16-48} }{6}[/tex]Subtract: [tex]x=\frac{4\pm\sqrt{-32} }{6}[/tex]Factor: [tex]x=\frac{4\pm\sqrt{-1} \sqrt{32} }{6}[/tex]Simplify: [tex]x=\frac{4\pm4i\sqrt{2} }{6}[/tex]Factor: [tex]x=\frac{4(1\pm i\sqrt{2} )}{6}[/tex]Simplify: [tex]x=\frac{2(1\pm i\sqrt{2} )}{3}[/tex]Point Tis on line segment SU. Given ST = 2 and TU = 15, determine the length
SU.
Answers
Answer:
SU = 17
Step-by-step explanation:
The line looks like this
S--T---------------U
If you add 2 + 15 = 17
Hope this helps ya!!
PLEASE HELP!!!
DUE IN AN HOUR!!!
Answers
Answer:
Don't cheat u cheater...
3x^2-x=4
please help
Answers
Answer:
x=1 4/3
Step-by-step explanation:
A die is rolled twice. Find the chance that the ace (single dot) comes up on one of the two rolls, but not both. Record your answer as a percentage rounded to the nearest tenth of a percent.
Answers
Answer:
13.9%
Step-by-step explanation:
In order to calculate the probability of this happening, we would need to multiply the probability of one of the rolles being an ace with the probability of one of the roles NOT being an ace. Since the probability of rolling an ace is 1/6 (since there is only one ace in a six-sided die) then the probability of NOT rolling an ace is 5/6
[tex]\frac{1}{6} * \frac{5}{6} = \frac{5}{36}[/tex] or 0.1388 multiply by 100 to get percentage value
0.1388 * 100 = 13.9%
Therefore, the probability of getting one ace and one non-ace roll is 13.9%
chen is baking muffins and banana bread for brunch buffet. he needs 3 1/5 cups of flour to make the muffins and 3 2/3 cups of flour to make the banana bread. which is the best estimate of the number of cups of flour needed
Answers
Answer:
I think 7 would be the estimate if im wrong this is the specific number 6 13/15
Step-by-step explanation:
Answer:
She will need aproximately 7 cups
Step-by-step explanation:
First, you add 3 1/5 and 3 2/3 which is 6.86666666667
Just round that answer up and that'll give you seven
A $250 suede jacket is on sale for 20%off how much should you pay for the jacket
Answers
250 - 50 = $200
You will pay $200 after sale
Answer: $ 200
Step-by-step explanation:250 * 0.20 = $50 sale
250 - 50 = $200
Express into slope form
Answers
Answer: y= 3/2x+1
Step-by-step explanation:
Irina predicted that she would sell 75 books, but she actually sold 95 books. Which expression would find the percent error?
Answers
(|75-95|)/95 = 0.21
0.21 * 100% = 21% error
[[[click on the image to make bigger]]]
I really need questions 2 and 4 for this!! please
Answers
Answer:
It equals pizza 3’5.42 inch
Step-by-step explanation:
A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 5.3 days. Its average brightness is 2.9 and the brightness changes by /- 0.35. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days:______.B(t)=4.2 +0.45sin(2pit/4.4)
(a) Find the rate of change of the brightness after t days.
(b) Find the rate of increase after one day.
Answers
Answer:
[tex]\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]
0.16
Step-by-step explanation:
According to the question the mathematical model should be
[tex]B(t)=2.9+0.35\sin(\dfrac{2\pi t}{5.3})[/tex]
Differentiating with respect to time we get
[tex]B'(t)=0.35\cos(\dfrac{2\pi t}{5.3})\times(\dfrac{2\pi}{5.3})\\\Rightarrow B'(t)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]
So, the rate of change of brightness after t days is [tex]\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]
After 1 day means [tex]t=1[/tex]
[tex]B'(1)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi\times 1}{5.3})\\\Rightarrow B'(1)=0.16[/tex]
The rate of increase after one day is 0.16.
zen throws a bad upward with an initial upward velocity of 64ft/s. the ball is 5 ft when it leaves her hand in how many second will the ball reach its maximum height? What is the balls maximim height?
Answers
Answer:
12.8 seconds
Step-by-step explanation:
A plane begins its takeoff at 2:00 P.M. on a 2200-mile flight. After 12.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.A) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 303 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 303 mi/hr and decelerating from 303 mi/hr.B) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 152 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 152 mi/hr and decelerating from 152 mi/hr.C) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 88 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 88 mi/hr and decelerating from 88 mi/hr.D) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 117 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 117 mi/hr and decelerating from 117 mi/hr.E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.
Answers
Answer:
E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.
Step-by-step explanation:
In this question we have the average velocity v = 2200/12.5
= 176miles/hr
The function Which describes the velocity of a plane is continuous. At point t, f(t) is equal to 176. So by the mean value theorem we arrive at a conclusion that the velocity is going to attain the speed of 100 miles per hour twice. The first time is during acceleration, and the second time is during deceleration. So by this, the answer to this question is option E.
Someone please help ASAP will mark as Brainliest
Answers
You have a ribbon that is 7 1/2 inches long you use 1/2 of it on a project how many inches of ribbon are left
Answers
7.5/2=3.75