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Answer: Refer to the screenshot below
I've filled in the boxes with the proper answers
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Explanation for problem 1
In line 1, I used the distributive rule a*(b+c) = a*b+a*c. On the left side the 3(n+2) becomes 3n+6. On the right side, the 9(6-n) becomes 54-9n
On the next line, I added 9n to both sides. The 3n on the left side updates to 3n+9n = 12n.
For the third line, I subtracted 6 from both sides. Then the last line involves dividing both sides by 12 to fully isolate n. To confirm the solution n = 4, plug it back into the original equation. You should get the same thing on both sides after simplifying.
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Explanation for problem 2
The steps here are similar as problem 1, but this time we're involving fractions. Unfortunately, these steps don't involve clearing out the fractions which is often a handy trick to use.
We use the distributive rule on line 1
For line 2, we subtract 2m/9 from both sides. Think of 2m/3 as 6m/9 to help combine the fractions. The denominators must be the same for you to be able to add or subtract fractions.
For line 3, we subtract 4/3 from both sides. Think of 4/3 as 12/9.
The last step is to multiply both sides by 9/4, which is the reciprocal of 4/9. Your teacher made a typo on the right hand side of the last line. It should read [tex]\frac{4}{9}m[/tex] and not [tex]\frac{2}{9}m[/tex]. Refer to the previous line.
Related Questions
Find the midpoint and distance of the line segment AB connecting the two points: A(- 4, 5) and B(0, 8)
Answers
help, there are more questions liek this
Answers
Answer:
14.55'
Step-by-step explanation:
Cosine rule
c^2 = a^2 + b^2 - 2ab cos(C)
here
a=11
b=23
C = 150°
Substitute in cosine rule,
c^2 = 11^2 + 23^2 - 2(11)(23) cos (150°)
= 121 + 529 -2 (11) (23) sqrt(3)/2
=211.791
c = sqrt(211.791)
= 14.55
please help i need help
no links or ill report you
Answers
The price of a laptop decreased from RS50 000 to Rs45 000. Calculate the percentage decrease in the price.
Answers
Answer:
Step-by-step explanation:
loss amount=Rs 50000-Rs 45000
=Rs 5000
loss%=loss amount/original amount100%
=5000/50000*100
=500000/50000
=10%
Need helppp........!!!!!!!!!!
Answers
Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance of 400. What is the probability that a randomly selected pill contains at least 500 mg of minerals
Answers
Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that [tex]\mu = 490, \sigma = \sqrt{400} = 20[/tex]
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 490}{20}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
The probability is 0.3085.
Let X=the amount of minerals.
We have to find P(X≥500).
Mean = 490.
Standard deviation = [tex]\sqrt{400}=20[/tex].
z score of 500 is = [tex]\frac{500-490}{20 } =0.5[/tex].
So, P(X≥500) = P(z≥0.5) = 1 - P(z<0.5) = 1-0.6915=0.3085.
Learn more: https://brainly.com/question/14109853
Write the equation of the line in fully simplified slope-intercept form.
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HELP ME PLEASEEEEEEEEEEEE
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Answer:
15 x 20 x 4 = 1,200
6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12
12(area of 1 triangle) x 12(width) = 144
Formula area of a triangle:
B(base) x H(height) x 1/2(basically just dividing by 2)
Formula volume of a rectangular prism:
L x W x H
Answer:
1) 1200
2) 144
Step-by-step explanation:
1:
Volume Of A Cube: L * W * H
Substitute: 25 * 20 * 4
2:
Volume Of A Triangular Prisism: 0.5 * B * A * H
Substitute: 0.5(6 * 4) * 12
5.6 cm
8.2 cm
Area =_______
Answers
Answer:
Hello! answer: 22.96
Step-by-step explanation:
Area is base × height × 1/2 or base × height ÷ 2
Im going to use the second method.
8.2 × 5.6 = 45.92 45.92 ÷ 2 = 22.96 therefore the answer is 22.96
5.6 x 8.2 = 45.92
45.92/2 = 22.96
IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!
Answers
Answer:
Step-by-step explanation:
kk
In which function is the range equal to the domain?
1) y = 2
2) y=x?
3) y = log x
4) y = x
Answers
Write the expression with fewer terms:
10x 2x
Answers
Answer:
12x
Step-by-step explanation:
Combine Like Terms
10x + 2x = 12x
(3^2+4−2)(2^2−3−4) can you guys please solve this for me please.
Answers
Answer:
-33
Step-by-step explanation:
[tex](3^2+4-2)(2^2-3-4)[/tex]
[tex](9+4-2)(4-3-4)[/tex]
[tex](13-2)(1-4)[/tex]
[tex](11)[/tex] · [tex](-3)[/tex]
(-33)
Aubrey came across an ad for a brand new gym that does not charge a sign-up fee but charges a membership fee of $52.00 per month. She is trying to decide which gym would be the best option if she's only planning on joining for 6 months. A. What would be the total cost for 6 months of membership at her local gym? (Charges $18.00 per month plus a sign-up fee of $95.00 ; Use the expression 18m+95 to find your answer.) B. What would be the total cost for 6 months of membership at the brand new gym? (Charges $52.00 per month and no sign-up fee. Use the expression 52m to find your answer.) C. Which gym would be the better deal for a 6 month membership? (Write either: Local Gym OR New Gym )
Answers
Answer:
LOCAL GYM
Step-by-step explanation:
Local gym :
Signup fee = $95 ; monthly cost = $18
6 months cost :
18m + 95
18(6) + 95 = $203
6 months cost at new gym :
$52 per month
Cost = $52 * 6 = $312
The best gym for a 6 month deal is the local gym
Local gym Cost < new gym cost
Write each quadratic expression in standard form. Draw a diagram if needed.
(x+4)(x-1)
Answers
Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
4. Given point A (3, 8) and point B (-5, 1). Find the following:
a.) The coordinates of the midpoint of segment AB. Write your answer in this form: (x, y) (7 points)
b.) Using the distance formula, find the length of segment AB. Round to the nearest hundredth. (7 points)
c.) Find the slope of segment AB. (if your answer is a fraction, use the "/" symbol) (7 points)
Answers
Answer:
a) (-1,4.5)
b)10.63 units
c)7/8
Step-by-step explanation:
a) To find this, we use the midpoint formula
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (3,8)
(x2,y2) = (-5,1)
(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)
b) To calculate the distance D between two points, we use the formula;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-3)^2 + (1-8)^2
D = √(-8)^2 + (-7)^2
D = √64 + 49
D = √113
D = 10.63 units
C) We use the slope formula here
m = (y2-y1)/(x2-x1)
m = (1-8)/(-5-3) = -7/-8 = 7/8
select all the expressions that are equal to
8(x-24)
Answers
Answer:
Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]
Step-by-step explanation:
No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].
Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?
A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)
Answers
Given:
The function is:
[tex]y=2x^2+3x[/tex]
Domain is the set {-2, -1, 0).
To find:
The range of the given relation.
Solution:
We have,
[tex]y=2x^2+3x[/tex]
Substituting [tex]x=-2[/tex], we get
[tex]y=2(-2)^2+3(-2)[/tex]
[tex]y=2(4)+(-6)[/tex]
[tex]y=8-6[/tex]
[tex]y=2[/tex]
Substituting [tex]x=-1[/tex], we get
[tex]y=2(-1)^2+3(-1)[/tex]
[tex]y=2(1)+(-3)[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Substituting [tex]x=0[/tex], we get
[tex]y=2(0)^2+3(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).
PLEASE HELP ME GUYS ×0×
Find the RATIO and the EXACT VALUE of the given Tan A.
Answers
Answer:
Step-by-step explanation:
take angle A as reference angle
using tan rule
tan A=opposite/adjacent
tan A=5/12
tan A=0.41
A=tan 22.5
A=22.5
for ratio,
tan A=5/12
A survey of teens suggested that 33% can name at least one professional baseball player, and 90% of those teens can also name at least one professional football player. In the entire population, 64% can name at least one professional football player. What percentage of teens can name at least one player from these sports? (0.33)(0.64) = 0.2112 0.33 + 0.64 = 0.97 0.33 + 0.64 – (0.33)(0.64) = 0.7588 0.33 + 0.64 – (0.90)(0.33) = 0.673
Answers
Answer:
[tex]d.\ 0.33 + 0.64 – (0.90)(0.33) = 0.673[/tex]
Step-by-step explanation:
Given
[tex]P(Baseball) = 33\%[/tex]
[tex]P(Baseball\ n\ Football) = 90\%[/tex]
[tex]P(Football) = 64\%[/tex]
Required
[tex]P(Baseball\ or\ Football)[/tex]
This is calculated as:
[tex]P(Baseball\ or\ Football) =P(Baseball) + P(Football) -P(Baseball\ n\ Football)[/tex]
[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - (0.90)(0.33)[/tex]
[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - 0.297[/tex]
[tex]P(Baseball\ or\ Football) = 0.673[/tex]
Please someone help!!!
Answers
Answer:
surface area of the cuboid
(2×2×5)+(2×12×5)+(2×12×2)
20+120+48
188 cm²
I WILL MARK BRAINLEST IF YOU HELP ME
Answers
Answer:
Step-by-step explanation:
top left r= 0.9 ; top right r= 0.4
bottom left r=0; bottom right r= -0.4
if they are not around a line looking like r=0
if they resemble a line well is close to r=1
if line goes up from left to right is r positive
if line goes down from left to right is r negative
Please help quickly !!
Answers
Since these are right triangles, we can use Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
50^2 + 20^2 = c^2
2500 + 400 = c^2
2900 = c^2
c = sqrt[ 100 * 29]
c = 10 sqrt[29]
In the boxes, a = 10, b = 29.
Hope this helps!! :)
what is the degree of polynomial
f (x) = 2x² - 5x+6 ?
Answers
Answer:
2
Step-by-step explanation:
The degree of a polynomial is its highest exponent value: in this case, thats just two!
Answer:
degree 2
Step-by-step explanation:
The degree of a polynomial is determined by the largest value of the exponent attached to the variable.
f(x) = 2x² - 5x + 6 ← has the term 2x² with exponent 2 ( largest ), then
f(x) is a polynomial of degree 2
Can someone help me do this like the equation?!.
Answers
Answer:
36$
Step-by-step explanation:
between which two consecutive numbers does the square root below lie ?
[tex] - \sqrt{128} [/tex]
Answers
Answer:
where is the second one?
Step-by-step explanation:
Use the Law of Sines to solve for the variable. Round your answer to the
nearest whole number. Write the value only. *
Answers
Answer:
y ≈ 61
Step-by-step explanation:
Using the Sine rule in the triangle
[tex]\frac{y}{sin117}[/tex] = [tex]\frac{21}{sin18}[/tex] ( cross- multiply )
y × sin18° = 21 × sin117° ( divide both sides by sin18° )
y = [tex]\frac{21sin117}{sin18}[/tex] ≈ 61 ( to the nearest whole number )
I need help Find x. 13 14 10 8
Answers
Answer:
BC/EF=AC/DF
• 24/16=21/x
• 3/2=21/x
• 3x=42
• x=14
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Hope it helps....
Have a great day!!!
Which pattern or sequence did she use?
Answers
Answer:
b
Step-by-step explanation:
HELP ON PAGE 25 POINTS
Answers
Answer:
Part A: ≈112.06
Part B: B
Step-by-step explanation:
Find the surface area and volume for the separate shapes, then add them up together
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Have a good day :)