Answers
Answer:
7) r = -4
8) n = 1
9) x = 2
Step-by-step explanation:
Problem 7
Here, we have the equation 5 + 3r + 6 = -1. It looks like we need to solve for r, so let's go ahead and start by adding the constants 5 and 6.
5 + 3r + 6 = -1
3r + 11 = -1
Next, let's remove 11 from both sides to isolate r.
3r = -12
Finally, we can divide both sides by 3 to find the value of r.
r = -4
Problem 8
In this equation, it looks like we have to solve for n: -n + 2 + 3n = 4. So, let's start by combining like terms (-n and 3n).
-n + 3n + 2 = 4
2n + 2 = 4
Next, we can remove 2 from both sides to isolate r.
2n = 2
And finally, we can divide both sides by 2.
n = 1
Problem 5
This equation is a little trickier since we have a fraction. To remove this fraction, we can multiply both sides by 4.
(-6 + x)/4 = -1
4 × (-6 + x)/4 = 4 × -1
4/4 × (-6 + x)/1 = -4
-6 + x = -4
Finally, let's add 6 to both sides.
x = 2
Related Questions
Given that p²,q² are two roots of x²-x+16=0.
Form another equation with roots 1/p,1/q.
Answers
Answer:
x² -3/4x +1/4 = 0
Step-by-step explanation:
Consider the two equations in factored and expanded forms:
(x -p²)(x -q²) = x² -(p²+q²)x +p²q² = 0 ⇒ p²+q² = 1, p²q² = 16
and
(x -1/p)(x -1/q) = x² -(1/p+1/q)x +1/(pq) = 0
Consider the squares of the sum and product of roots:
constant term: (1/(pq))² = 1/(p²q²) = 1/16 ⇒ 1/(pq) = √(1/16) = 1/4
x-term: (1/p +1/q)² = (p +q)²/(pq)² = (p² +q² +2pq)/(p²q²)
= (p² +q²)/(p²q²) +2/(pq)
= 1/16 +2/√16 = 9/16 ⇒ (1/p +1/q) = √(9/16) = 3/4
Then the equation with roots 1/p and 1/q is ...
x² -3/4x +1/4 = 0
What is the slope of any line parallel to the graph of y=8x+20?
Answers
Answer:
m = 8
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
When any 2 lines are parallel, they will have the same slope but different y-intercepts.
∴ Our parallel line's slope will be 8.
What is the volume of a sphere with a radius of 9 units?
O A. 97271 units3
O B. 2437 units3
O C. 4867 units
O D. 32477 units3
Answers
Yes it would be 3,053.63 units^3.
But in our case, from the choices above, it would be (A. 972 pie units^3)
hope this helps.
Step-by-step explanation:
The volume of a sphere with a radius of 9 units is,
⇒ Volume of sphere = 339.12 units³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Radius of sphere = 9 units
Now, We know that;
⇒ Volume of sphere = 4/3 πr²
Radius = 9 units
Hence, We get;
⇒ Volume of sphere = 4/3 πr²
⇒ Volume of sphere = 4/3 × 3.14 × (9)²
⇒ Volume of sphere = 339.12 units³
Thus, The volume of a sphere with a radius of 9 units is,
⇒ Volume of sphere = 339.12 units³
Learn more about the multiplication visit:
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What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?
Answers
Answer:
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope of line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line
m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then
y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form
To find c substitute (3, 2 ) into the partial equation
2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line
Is the following double number line drawn correctly? Use complete sentences to explain your reasoning.
Answers
The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.
What is a double number line?A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.
For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.
Is the double number line correct?This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:
0, 4, 8, 12 (multiples of 4), which means 3 does not match.Learn more about sequences in: https://brainly.com/question/21961097
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Answer:The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.
What is a double number line?
A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.
For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.
Is the double number line correct?
This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:
0, 4, 8, 12 (multiples of 4), which means 3 does not match.
5/3 x 9/10 = Simplify using magic numbers such as 2,3,5,7
Answers
Answer:
45/30
Step-by-step explanation:
x-2/7=8
Give your answer in improper fraction
Answers
Find the product of 6b(2 over 3b).
20 over 3b
4b
23 over 3 b2
4b2
Answers
Answer:
c is my opinion
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
trust me.
Can someone please take the time out of day to help me with this
Answers
Answer:
a. 54, b. 117, c. 63
Step-by-step explanation:
a. Angle 11 is corresponding to angle 1, which is linear to angle 2, which is 126 degrees. So angle 11 is 180 - 126 = 54 degrees
b. Angle 8 corresponds to angle 14, which is 117 degrees.
c. Angle 7 is linear to angle 8, so it is 180 - 117 = 63 degrees
Answer:
a or <11 is 54 degrees, b or <8 is 117 degrees, c or <7 is 63 degrees
Step-by-step explanation:
A. <2 = <12, <12 + <11 = 180, 180 - 126 = 54
B. <14 = <8, 117 = 117
C. <7 + <8 = 180, 180 - 117 = 63
Troy has 5/6 ounces of sprinkles to make cupcakes. The recipe uses 1/4 ounce per dozen of cupcakes. Write an expression which can be used to determine how many dozens of cupcakes Troy can make.
Help please? :)
Answers
Answer:
[tex]\frac{\frac{1}{4}}{1}=\frac{\frac{5}{6}}{x}[/tex]
Step-by-step explanation:
Per = 1
[tex]\frac{1}{4}[/tex]
So, if we were to solve:
[tex]\frac{1}{4}=\frac{5}{6x}[/tex]
[tex]\frac{1}{4}\cdot \:6x=1\cdot \:5[/tex]
[tex]\frac{3}{2}x=5[/tex]
[tex]\frac{3}{2}x\cdot \:2=5\cdot \:2[/tex]
[tex]3x=10[/tex]
[tex]\frac{3x}{3}=\frac{10}{3}[/tex]
[tex]x=\frac{10}{3}[/tex]
Troy can make [tex]\frac{10}{3}[/tex] dozen of cupcakes.
4/9 + 9/18. Please help me as soon as possible, it's due today.
Answers
Answer:
[tex]\frac{17}{18}[/tex]
Step-by-step explanation:
To solve 4/9 + 9/18 just find the common denominator which is 18.
to get 4/9 to get the denominator of 18 you multiply the denominator by 2:
9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.
Now, add the numerator and keep the denominator the same. 8 + 9 = 17.
8/18 + 9/18 = 17/18
Solve the inequality
4x - 19 ≥ -27
Answers
The answer is X>-2. I uploaded a picture of the steps below. Hope this helps. :)
Research suggests that high school students could benefit from later school starting times. A school administrative team is considering a proposal to move the starting time of the local high school one hour later than the current start time. To measure interest in the proposal, members of the team randomly select subjects attending a large soccer tournament played on the high school grounds on a Saturday morning. The team finds that 58% of those surveyed support a later high school start time. Which type of bias is most likely to be present in the survey results?
This is undercoverage bias because adults with children are more likely to be included in the sample.
This is question wording bias because the phrasing of the later start times question may be confusing to some subjects.
This is nonresponse bias because some of those selected may choose to not provide their opinion on later start times.
This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.
Answers
Answer:
This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.
Step-by-step explanation:
Answer:
undercoverage bias
Step-by-step explanation:
Part B
If a company was charged $16.25 to deliver sneakers, what was the distance of the delivery ride?
Show work that supports your answer. (2 points)
Part A: Write the function rule (equation) for describing the total rate y as a
function of the total miles x.*
What is the answer
Answers
Answer:
Step-by-step explanation:
Part A:
y=1.5x+4.25
Part B:
16.25=1.5x+4.25
Minus 4.25 from both sides
12=1.5x
Divide both sides by 1.5 and you will get x=8
what the sum of 9999x23
Answers
Answer:
suma is 229,997
Step-by-step explanation:
229,997
What is the height of the triangle?
17 units
34 units
51 units
68 units
Answers
Using right triangle formula we will get 51 explanation in the picture
Which is an equivalent ratio of yellow cans to blue cans?
10:12
30:25
18:16
5:6
Answers
Answer: 30:25
Step-by-step explanation:
notice how there are 6 yellow and 5 blue
so if we multiply both by 5 then we get
30:25
Nikita began with the figure shown.
A.
с
B
She completed the following actions to construct the angle bisector of ABC, but made a mistake in one of the steps. Select the step in which
her mistake was made.
Step 1: She placed the compass on point B and drew an arc which intersects ray BA at point D and ray BC at point E.
Step 2: Next, she placed the compass on point D and drew an arc on the interior of 2ABC.
Step 3: Then, she placed the compass on point and drew an arc on the interior of ZABC, which intersects the previous arc.
Step 4: She labeled the intersection of the two arcs as point F and drew the ray BF, which represents the angle bisector
of ZABC.
Answers
Answer:
no
Step-by-step explanation:
Answer:
Step three
Step-by-step explanation:
She placed the point on C when it was supposed to be on E
The written price of a shirt is Rs. 275. If 15% rebate is given
on the written price, what will a customer pay?
Please answer in the simpliest way
Answers
Based on the cost of the shirt and the rebate applied, the customer would pay Rs. 233.75
A rebate is a discount on the price of a good so the shirt will be discounted by 15%.
= 275 x 15%
= Rs. 41.25
The price the customer will pay is therefore:
= Cost of shirt - Discount
= 275 - 41.25
= Rs. 233.75
In conclusion, the customer will pay Rs. 233.75
Find out more on discounts at https://brainly.com/question/889098.
find the some of -3x^2-x-10 and 10x^2+x-10
Answers
10x^2 – 3x^2 = 7x^2
1x – 1x = 0
– 10 – 10 = –20
So the answer is 7x^2 – 20.
Answer:
( X - 2 )(3x + 5) For 3x^2-x-10
Step-by-step explanation:
Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.
Answers
The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.
We have to determineWhich expression finds the measure of an angle that is coterminal with a 45° angle?
According to the question,Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.
The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
A coterminal with 45° is 45°+k°360° with k as an integer.Then,
The coterminal angle with 45°,
When k = 0
Then,
[tex]\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree[/tex]
When k = 1
Then,
[tex]\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree[/tex]
When k = -1
Then,
[tex]\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree[/tex]
Hence, The measure of an angle that is coterminal with a 45A°+360A°.
For more details about the Coterminal angle refer to the link given below.
https://brainly.com/question/12378421
The population proportion for a certain characteristic is 0.28. In a sample of
100 people, 25 had that characteristic.
Which equation correctly describes the point estimate?
A. P = 0.28
B. p = 0.28
O c. p = 0.25
D. p = 0.25
Answers
Answer:
B. p= 0.25
Step-by-step explanation:
Pls give brainliest if helps
In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find and graph all the possible combined weights of the kittens.
Answers
Answer:
Step-by-step explanation:
24.5 just multiply hope that helpss
Which point is the circumcenter of the triangle?
Answers
Answer:
it is D
Step-by-step explanation:
For knowing it, it is necessary to draw straight line above the triangle from the middle of the sides, forming a 90° degree angle. But as they are already drew, it is easier
Given ΔABC with points A, B and C on the circle, the circumcenter of the triangle is point D.
Circumcenter of a circle is the point where the perpendicular bisectors on the sides of the triangle, whose vertices touch the circumference of the circle, intersect.
Perpendicular bisector of a line segment is another line segment which makes an angle of 90 degrees with it and divide the line segment into two equal parts.
In the given figure, we have triangle ABC.
A, B and C vertices touch the circle.
We need to find the circumcenter of the circle.
The sides of the triangle ABC are AB, BC and AC.
The perpendicular bisectors of the sides AB, BC and AC are ED, GD and FD respectively. We can verify so from the figure.
The point where the three perpendicular bisectors meet is the point D, again from the figure, thus, clearly point D is the circumcenter of the triangle.
Learn more about circumcenter here
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Hs math need help on triangle
A 100 , 100 , 160
B 100 , 100 , 100
C 100 , 60 , 20
D 100 , 40 , 40
Answers
Answer:
Option D.Step-by-step explanation:
It must be option D because an isosceles triangle always have two angles the same measure and must be a total of 180°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Let other two angles be x
[tex]\\ \tt\Rrightarrow x+x+100=180[/tex]
[tex]\\ \tt\Rrightarrow 2x+100=180[/tex]
[tex]\\ \tt\Rrightarrow 2x=80[/tex]
[tex]\\ \tt\Rrightarrow x=40[/tex]
Option D is correct
I need help on this. I've no idea about this. Please help me...
Answers
Answer:
Answers are below.
Step-by-step explanation:
Hope this helps:)
The temperature dropped 4 1/2 degrees each hour for 5 hours. By how many degrees did the temperature fall during those five hours?
Answers
Answer:
22.5
Step-by-step explanation:
You take the unit rate and multiple that by how many hours are going by. 4.5x5
Simplify (45)-(+14). Pls guys explain it to me
Answers
Answer:
Answer: 31
Step-by-step explanation:
[tex]{ \rm{45 - ( {}^{ + } 14)}} \\ \\ = { \rm{45 - 14}} \\ \\ = { \rm{31}}[/tex]
Answer:
31
Step-by-step explanation:
(45)-(+14)
This is asking us to take 45 [(45)] and subtract 14 [-(+14)]
That is 45 - 14 = 31
The expression "-(+14)" is a deliberate attempt to confuse. It says "subtract a positive 14." There was no need to add the "+" sign in the parentheses, since a positive value is always assumed. But it was added here to promote heartburn and the sale of TUMS. When I see something like "-(+10000)," I immediately change it to "-10000" and move on, adding one demerit to the author of the problem.
if a = 3y + 4z and b = z - 2y, then what is the value of a + b?
Answers
Answer:
y + 5z
Step-by-step explanation:
Hope this helps!
mori has 6 7/10 pounds of potatoes. she uses some of the potatoes in a salad. now she has 2 2/5 pounds of potatoes left. How many pounds did maori use?
Answers
Answer:
43/10 pounds = 4 3/10 pounds
Step-by-step explanation:
for this you want to subtract 6 7/10 minus 2 2/5. You first have to get a common denominator and find the numerator then subtract.