Answer:
0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x+4(4x+3)=4(6x+4)−4
8x+(4)(4x)+(4)(3)=(4)(6x)+(4)(4)+−4(Distribute)
8x+16x+12=24x+16+−4
(8x+16x)+(12)=(24x)+(16+−4)(Combine Like Terms)
24x+12=24x+12
24x+12=24x+12
Step 2: Subtract 24x from both sides.
24x+12−24x=24x+12−24x
12=12
Step 3: Subtract 12 from both sides.
12−12=12−12
0=0
Answer:
All real numbers are solutions.
CHECK YOUR UNDERSTANDING
The Wacky Widget Company sells widgets for
$4.00 each wholesale. A local store has a
markup of $1.20.
A. What is the retail price?
B. What percent is the markup price?
Answer:
Retail price = $5.20
Percentage of mark up price = 30%
Step-by-step explanation:
Company sells $4.00 each wholesale.
Now the local store which is the retailer has a markup of $1.20.
This means that the retail price is;
Retail price = wholesale price + mark up = $4.00 + $1.20
Retail price = $5.20
To find the percentage of the markup, it is the fraction of the wholesale price multiplied by 100%.
Thus;
Percentage of Markup is;
1.2/4 × 100% = 30%
sally is taking a test
when she got her score it was 85% of 100% how many questions was on the test and how many did she get wrong
Answer:
There was 20 questions on the test.
She got 3 wrong.
Step-by-step explanation:
[tex]\frac{85}{100} = \frac{17}{20}[/tex]
20 - 17 = 3
There was 20 questions on the test.
She got 3 wrong.
Solve
12 (8 – 4) =
Q 42
o 144
102
48
You can buy five cans for green beans at the village market for $2.20 you can buy 10 of the same cans of beans at Sam’s Club for $5.30 which place is better
Answer:
The village market is better than Sam's Club
Step-by-step explanation:
If you buy 5 more cans of green beans at the village, it will cost $4.40 in total. Therefore if you go buy the beans at Sam's club, the village one will be cheaper.
Help! It’s due it’s due in 30 minutes
Answer:
Contains two 6x6 triangles, contains one 12x3 rectangle, four 2x2 triangles, and two 2x2 squares.
88
Step-by-step explanation:
You only need the area of one side of this shape to find the total area.
((6*6)/2+(3*6)+(2*2)+(2*2))2 = 88. What's inside the parenthesis is the area for one side of the shape, then you can multiply that by two to get the entire area.
Please help me answer this will give brainlst
Answer:
17° and 73°
Step-by-step explanation:
For two complementary angles, the sum of angles is equal to 90 degrees.
Let other angles = x
First angle = 5+4x ...(1)
ATQ,
5+4x+x=90 ...(2)
Equation (1) and (2) shows the equations for the given problems.
5+5x=90
5x = 85
x = 17°
Other angle = 17
First angle = 5+4x
= 5+4(17)
= 73°
So, the other two angles are 17° and 73° respectively.
Which expression is equivalent to 21^3sqrt15 - 9^3sqrt15?
A. 12
B. 30^3sqrt15
C. 12^3sqrt5
D. 12^3sqrt15
Answer:
the answer is D.
Step-by-step explanation:
Since the square: (3√15) is common in both of them, you only focus on 21 and 9. if you subtract 9 from 21, it will give you 12. so, just add (3√15) to 12, which will give you: 12^3sqrt15
help please (multiple choice) i am confused
Answer:
Angle E
Step-by-step explanation:
7. Carolina surveyed students about their
favorite music. Her results are shown in
the table.
Favorite Music
Music Number of Students
Country
18
Rock
8
Pop
20
Hip Hop
14
Based on the data in the table, what is
the probability that a randomly selected
student prefers hip hop music?
a)
b) 1 / 1
d)
Answer:
[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
14 students prefer hip hop music
There are 18 + 8 + 20 + 14 = 62 students
So
[tex]p = \frac{14}{62} = \frac{7}{31}[/tex]
[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.
what is the coefficient of xy^2
in the expansion of (x+y)^3?
Step-by-step explanation:
Using Binomial Expansion,
(x + y)³
= 3C0 * x³ + 3C1 * x²y + 3C2 * xy² + 3C3 * y³.
Therefore the coefficient of xy² is 3C2 = 3.
Answer:
The coefficient of the xy² term is 3.
For your question about xy⁵, the coefficient is 6
And for the x²y² question, it is also 6
Step-by-step explanation:
We can simply expand the expression to find the answer:
(x + y)³
= (x + y)(x + y)(x + y)
= (x + y)(x² + 2xy + y²)
= x³ + 2x²y + xy² + x²y + 2xy² + y³
= x³ + 3x²y + 3xy² + y³
So the term term containing xy² has a coefficient of 3
Now, there's actually a simple way to do this, and that's using Pascal's triangle. If you're not familiar with it, here's a quick representation of the first few lines:
0 1
1 1 1
2 1 2 1
3 1 3 3 1
4 1 4 6 4 1
5 1 5 10 10 5 1
6 1 6 15 20 15 6 1
7 1 7 21 35 35 21 7 1
8 1 8 28 56 70 56 28 8 1
You'll notice that each number is simply the sum of the two numbers above it; below 4 and 6 wes see 10, below 20 and 15 is 35, etc.
This is very useful in this case, as the you may notice that the solution to each of the questions asked can be answered by this triangle. For instance, when we solved (x + y)³, the coefficients of the terms were 1, 3, 3, and 1. For a perfect square, it's 1, 2 and 1, and so on. So to get the answers to your questions, you need only look at this triangle.
For example, want the the coefficent of the fourth term in the expansion of (x + y)⁷, it's easy, just look at the seventh row, and look for the fourth number, which would be 35.
But as we're given the x and y powers, but not the position of the term, we need to work that out as well. Thankfully there's an easy trick to that. The exponents will always be like this
[tex]x^{n}y^0 + x^{n - 1}y^1 + x^{n - 2}y^2 + ..... + x^2y^{n - 2} + x^1y^{n - 1} + x^0y^{n}[/tex]
where n is the number we're raising the binomial to.
We could put together an equation to solve this, but instead of going through a whole lesson, I'll just update the answer at the top.
There are 40 dogs and cats. There are 14 more dogs than cats. How many dogs are there?
Answer:
27
Step-by-step explanation:
40-4=26
26/2 = 13
13+14=27
Answer:
26 dogs
Step-by-step explanation:
The table shows how many slices of cake were sold during the week. Each slice of cake is equivalent to 116 of a cake. Determine if each statement is true by selecting Yes or No. Table showing the number of cake slices sold each day. Monday, eighty slices. Tuesday, one hundred twenty slices. Wednesday, one hundred slices. Thursday, one hundred forty slices. A On Monday, the restaurant made 8 cakes and will have 3 left over because −116(80)=−5. Yes No B On Tuesday, the restaurant only needed 7 cakes because −116(120)=−712. Yes No C On Wednesday, the restaurant made 7 cakes and will have 34 of a cake left over because −116(100)=−6.25. Yes No D On Thursday, the restaurant made 8 cakes and will have 34 of a cake left because −116(110)=−8.75. Yes No brainiest
Answer:
yes
no
yes
no
hope this helps
Answer:
1. Yes
2. No
3.Yes
4.No
Step-by-step explanation:
I did the test and got it right!
If your gross monthly income will be $3,750, you need to determine the net pay for your monthly budget. Your monthly net pay is
Answer:
$2,989.12
Step-by-step explanation:
The correct answer to the given question is $2,989.12. The monthly net pay is $2,989.12, when the gross monthly income is $3,750.
The deduction from the gross income is almost 20.29%.
The gross income is multiplied by 20.29% and then the answer is deducted from the gross income which gives monthly net pay as a result
$3,750 * 20.29% = $760.875
$3,750 - $760.875 = $2,989.12
Your monthly net pay is $2,989.12
Determine the value of to the nearest tenth.
0
26
Answer:
0.3
Step-by-step explanation:
0.26?
0.3
I GIVEEEEEEEEEE BRAINLISTT
Answer:
D: 50% on car payment and college savings
Step-by-step explanation:
225+375 = 600
50% of 1200 is 600
AE = 3x - 2 and EC = 2x + 3 then DB =
#5
Answer:
DB = 26
Step-by-step explanation:
Remember:
AE ≅ ECAC ≅ DB☆The equation in finding the value of x would be 3x - 2 = 2x + 3.
☆Let's solve the equation.
[tex] \: \: \: \: \: \: \: \: \: 3x - 2 = 2x + 3 \\ \frac{ - 2x \: \: \: \ = - 2x}{x - 2 = 3} \\ \frac{ \: \: \: \: \: + 2 = + 2}{x = 5} [/tex]
☆Now that we found the value of x, we are going to plug in for AE and EC.
[tex]AE ; \\ 3x - 2 \\ 3(5) - 2 \\ 15 - 2 \\ 13 \\ \\ \\ \\ and \\ \\ \\ \\ \\ EC; \\ 2x + 3 \\ 2(5) + 3 \\ 10 + 3 \\ 13[/tex]
☆AE and EC each measure 13. To find the length of AC, you will have to add AE and EC. [tex]13 + 13 = 26[/tex]
The length of AC is 26. And since we know that AC is congruent (equal) to DB, meaning they measure the same. DB length is also 26.
Factor f(x)=x2−8x+16
(A) (x−4)2
(B) (x+8)2
(C) (x−8)2
(D) (x+4)2
Answer:
A
Step-by-step explanation:
(x-4)^2 = x^2 -4x -4x + (-4)*(-4)
= x^2-8x+16 as required
In 2009, two tickets to a certain American band's concert and two tickets to a certain British band's concert cost, on average, a total of $592. At those prices, four tickets to see this
American band and two tickets to see this British pand cost $842. What was the average cost of these American and British band tickets in 2009?
American band $
British band$
Choose the algebraic description that maps AABC onto AA'B'C'in the given figure.
A) (x, y) - (x + 6, Y)
B) (x, y) - (x, y - 6)
OC) (x, y) - (x-6, y).
D) (x, y) - (x, y + 6)
9514 1404 393
Answer:
C) (x, y) ⇒ (x -6, y)
Step-by-step explanation:
Each image point is 6 units left of the corresponding pre-image point. That is, its x-coordinate is reduced by 6. The appropriate choice is shown below.
Explain why it makes sense to use a negative number to represent Kirans account balance when he owes money
Answer:
He is in debt money, therefore he has less than 0$ which means he has a negative sum
Step-by-step explanation:
Add 2/7 + 3/7?
[tex]2 \7 + 3 \7[/tex]
goran spent $38 on fruit at the grocey store.He spent a total of 40$ at the store.what percentage of the total he spend of the fruit
What is the exact value that is 43% of 2302?
Answer: 873.76
First find 1% of 2302 which will be 2302/100=23.02
to find 43% of 2302 multiply 1% of 2302 with 43
43*23.02 = 873.76
Given that kx^2 + hx - 4 = 0 has no roots. Find the ranges of value of k
Answer:
The ranges of value of k are values larger than 0 and lower than 16.
Step-by-step explanation:
Suppose we have a second order polynomial in the following format:
[tex]ax^2 + bx + c = 0, a \neq 0[/tex]
It will have no roots if:
[tex]\Delta = b^2 - 4ac < 0[/tex]
In this question, we have that:
[tex]hx^2 + hx - 4 = 0[/tex]
So, the coefficients are:
[tex]a = h, b = h, c = -4[/tex]
Then
[tex]\Delta < 0[/tex]
[tex]b^2 - 4ac < 0[/tex]
[tex]h^2 - 16h < 0[/tex]
A quadratic function, with a positive(as is 1 in this inequality), will be negative between it's roots.
The roots are:
[tex]h^2 - 16h = 0[/tex]
[tex]h(h - 16) = 0[/tex]
So
h = 0 or h = 16.
The ranes of value of k are values larger than 0 and lower than 16.
y=$1.25x + $5.00 what is the total cost of service for the month if you stream 5 videos
Answer: $11.25
Step-by-step explanation:
Answer:
$11.25
Step-by-step explanation:
I assume that x = the 5 videos streamed
5*1.25=6.25
6.25+5 =11.25
y=$11.25
question 2, thanks for the help :)
Answer:
the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
Step-by-step explanation:
Given the points on the graph
(4, 4)(9, 1)Here:
(x₁, y₁) = (4, 4)
(x₂, y₂) = (9, 1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [1 - 4] / [9 - 4]
= -3 / 5
Thus, the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
How much do 15 DVDs cost at the store with the lowest unit price?
Bernie's Bargains 6 DVDs for $56.70
Greg's Giveaways 10 DVDs for $99.70
Stan's Steals 8 DVDs for $79.68
Answer:
Total cost= $141.75
Step-by-step explanation:
Giving the following information:
Bernie's Bargains 6 DVDs for $56.70
Greg's Giveaways 10 DVDs for $99.70
Stan's Steals 8 DVDs for $79.68
First, we need to determine the unitary price of each and choose the lowest one:
Bernie= 56.7/6= $9.45
Greg= 99.7/10= $9.7
Stan= 79.68/8= $9.96
The lowest price is $9.45.
Now, the total cost of 15 DVDs:
Total cost= 9.45*15
Total cost= $141.75
Answer:
149.25
Step-by-step explanation:
A shoe store sold 30 pairs of tennis shoes in stock. One week they had a sale and sold 8/10 of the shoes. How many pairs of tennis shoes did they sell that week ? Please give me the answer and the multiplication number model !
Answer:
24
Step-by-step explanation:
simplify 8/10 into 2/5 then 2/5 of 30 is 24
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 29;
σ = 3.4
P(x ≥ 30) = ______.
Answer:
P(x ≥ 30) = 0.3859
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 29, \sigma = 3.4[/tex]
This probability is going to be 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 29}{3.4}[/tex]
[tex]Z = 0.29[/tex]
[tex]Z = 0.29[/tex] has a pvalue of 0.6141
1 - 0.6141 = 0.3859
So
P(x ≥ 30) = 0.3859
5) Dan and Joan were able to clean the attic in 7 hours together, It takes
Joan 9 hours to complete the same job alone. Without help, how long
would it take Dan to complete the same job?
Answer:
9 hours im not really good at this but i hope i did my best ^.^ :)
It would take 31.5 hours for Dan to complete the same job.
What is work and time relationship?Work is the effort applied to produce a deliverable or accomplish a task. A certain amount of time (T) is taken to complete a certain work (W).
Work Done = Time Taken × Rate of Work.
Rate of Work = 1 / Time Taken.
Time Taken = 1 / Rate of Work.
According to the question
Dan and Joan were able to clean the attic in 7 hours together
i.e
Rate of Dan = D
Rate of Joan = J
now,
Rate of Work = 1 / Time Taken.
D + J = [tex]\frac{1}{7}[/tex]
It takes Joan 9 hours to complete the same job alone
i.e
J = [tex]\frac{1}{9}[/tex]
Rate of Dan :
D + J = [tex]\frac{1}{7}[/tex]
D + [tex]\frac{1}{9}[/tex] = [tex]\frac{1}{7}[/tex]
D = [tex]\frac{1}{7}[/tex] - [tex]\frac{1}{9}[/tex]
D = [tex]\frac{2}{63}[/tex]
Therefore , Time taken by Dan to complete the same job
As,
Time Taken = 1 / Rate of Work.
Time taken by Dan = [tex]\frac{63}{2}[/tex]
= 31.5 hr
Hence, It would take 31.5 hours for Dan to complete the same job.
To know more about work and time relationship here:
https://brainly.com/question/3854047
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