Answer:
Please check the explanation.
Step-by-step explanation:
Part 1)
5x + 9y, when x=8, y=11
substituting x=8, y=11 in 5x + 9
5x + 9y = 5(8) + 9(11)
= 40 + 99
= 139
Part 2)
a³ –c + b, when a=3, b=6, c=8
substituting a=3, b=6, c=8 in a³ –c + b
a³ –c + b = (3)³ - 8 + 6
= 27 - 2
= 25
Part 3)
4(g –h) +10, when g=12, h=7
substituting g=12, h=7 in 4(g –h) +10
4(g –h) +10 = 4(12 - 7) + 10
= 4(5) + 10
= 20 + 10
= 30
Part 4)
k³ –4j +12, when k=8, j=2
substituting k=8, j=2 in k³ –4j +12
k³ –4j +12 = (8)³ - 4(2) + 12
= 512 - 8 + 12
= 516
Summary:
Mr Osei has a rectangular field measured 85m long and 25m wide. How long is the distance around the field?
Answer:
220m
Step-by-step explanation:
l=85m
b=25m
perimeter=2(l+b)
2(85+25)
2(110)
=220m
perimeter is 220m
Answer:
Distance around the field is 220mStep-by-step explanation:
The distance around the field means the perimeter of the field
Since the field is rectangular
Perimeter of a rectangle = 2l + 2w
where l is the length
w is the width
From the question
l = 85m
w = 25m
Perimeter = 2(85) + 2(25)
Perimeter = 170 + 50
The final answer is
Perimeter = 220m
Hope this helps you
Ivan's personal information is:
Age
Time at address
Age of auto
Car payment
Housing costs
Checking and
savings accounts
Finance company
reference
Declared
bankruptcy
61
13 years
3 years
$203
Owns Clear
Both
Major credit cards 5
Ratio of debt to
2%
income
PREVIOUS
No
Never
According to the following table, what is his credit score?
27
Answer:
Step-by-step explanation:
Based on the information provided, we can use the following credit score range and corresponding points:
Excellent: 800-850 (23-27 points)
Very good: 750-799 (18-22 points)
Good: 700-749 (13-17 points)
Fair: 650-699 (8-12 points)
Poor: 600-649 (5-7 points)
Bad: below 600 (0-4 points)
Using this range, we can add up the points for Ivan's information:
Age: 23 points (because he is between 60-64 years old)
Time at address: 5 points (because he has lived at his address for more than 10 years)
Age of auto: 5 points (because he has owned his car for 2-4 years)
Car payment: 13 points (because his monthly car payment is between $200-$299)
Housing costs: 23 points (because he owns his home and has no monthly mortgage or rent payment)
Checking and savings accounts: 5 points (because he has both types of accounts)
Finance company reference: 5 points (because he has a reference from a finance company)
Declared bankruptcy: 0 points (because he has never declared bankruptcy)
Adding up all these points, we get a total of 79 points. Based on the credit score range and points listed above, this falls into the "Excellent" category, which corresponds to a credit score between 800-850. Therefore, Ivan's credit score is likely to be in that range.
Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)
Thus, the minimum exam score to be awarded an A is about 8.52.
Please help I can’t figure it out
well, let's first off find out how many actually do favor it in the first place.
\(\stackrel{total}{4000}\cdot \cfrac{3}{8}\implies \stackrel{seniors}{\text{\LARGE 1500}}\hspace{12em}\stackrel{total}{4000}-1500=\stackrel{not~seniors}{\text{\LARGE 2500}} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{seniors}{\text{\LARGE 1500}}\cdot \cfrac{1}{6}\implies \stackrel{in~favor}{\text{\LARGE 250}}\hspace{11em} \stackrel{not~seniors}{\text{\LARGE 2500}}\cdot \cfrac{3}{5}\implies \stackrel{in~favor}{\text{\LARGE 1500}} \\\\[-0.35em] ~\dotfill\\\\ 250+1500\implies \stackrel{in~favor}{\text{\LARGE 1750}}\hspace{15em}\boxed{\underset{\textit{do not favor it}}{\stackrel{4000~~ - ~~1750}{\text{\LARGE 2250}}}}\)
clothing store sells t shirt in only three colors red blue green the colors are in the ratio of 3:4:5 if the store has a total of 60 how many blue t shirt
Answer:
Step-by-step explanation:
red/blue = 3/4 and you get blue/green = 4/5
= 60/4 = 15
you have 15 red shirts, 20 blue shirts, and 25 green shirts.
15/20 = 3/4
20/25 = 4/5
if you simplify 15/20, you will see that it is equivalent to 3/4
if you simplify 20/25, you will see that it is equivalent to 4/5.
One integer is 2 less than another. The sum of their squares is 34. Find the integers.
Answer:
no se bro no se inglés así no se que bas a aaer
Step-by-step explanation:
pero puedes consultar por
Goran needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
If C = 3t-1+t^6 and D = 2t + 7, find an expression that equals 2C - 2D in standard form.
Answer:
Step-by-step explanation:
C = 3t - 1 + t^6
D = 2t + 7
2C - 2D
2(3t - 1 + t^6) - 2(2t + 7)
6t -2 + 2t^6 - 4t - 14
2t^6 + 2t - 16
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
C = 3t - 1 + t^6
D = 2t + 7
2C = 2 ( 3t - 1 + \(t^6\) )
2D = 2 (2t + 7)
The expression that equals 2C - 2D is
2t - 16 + 2\(t^6\).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
C = 3t - 1 + t^6
D = 2t + 7
Now,
2C = 2 ( 3t - 1 + \(t^6\) )
2D = 2 (2t + 7)
Now,
2C - 2D
= 2 ( 3t - 1 + \(t^6\) ) - 2 ( 2t + 7 )
= 6t - 2 + 2\(t^6\) - 4t - 14
= 2t - 16 + 2\(t^6\)
Thus,
C = 3t - 1 + t^6
D = 2t + 7
2C = 2 ( 3t - 1 + \(t^6\) )
2D = 2 (2t + 7)
The expression that equals 2C - 2D is
2t - 16 + 2\(t^6\).
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wHAT IS 1.42 - (-2.9)
\( \: \: \: \: \large\bf\implies \: 4.32\)
Step-by-step explanation:\( \longrightarrow \bf \: 1.42 - ( - 2.9) \\ \longrightarrow \bf \: 1.42 + 2.9 \\ \longrightarrow \bf \: 4.32\)
Additional information:First of all we know that to do this type of question that is ↓
(-)(-) = +(+)(+) = +(-)(+) = -(+)(-) = -Model the data in the table with a linear equation
in slope-intercept form. Then tell what the slope and y-intercept
represent.
Write the linear equation in slope-intercept form.
y =
(Use integers or decimals for any numbers in the expression.)
Time Worked, Wages Earned
x (h)
1
3
6
9
y (S)
8.00
24.00
48.00
72.00
The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.
The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.
The y-intercept is -5 and it represent the initial wages earned.
How to determine an equation of this line?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (24.00 - 8.00)/(3 - 1)
Slope (m) = 16.00/2
Slope (m) = 8
At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 3 = 8(x - 1)
y = 8x - 8 + 3
y = 8x - 5
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If angle 1 = 80 degrees what is y
Answer:
Provide a picture, then comment on this. I will answer it.
Step-by-step explanation:
On the augmented matrix A below, perform all three row operations in the order given. ((a) followed by (b) followed by (c)) and then write the resulting augmented matrix 1 2 -6 | -5
A = 1 3 5 | 2
-3 -10 -2 | -4
(a) R = 1+12 (b) Rg - 3r+r (c) Rs = 4r2 +13
The resulting augmented matrix is:
1 2 -6 | -5
0 1 -8 | 13
0 0 42 | -177
To perform the three-row operations on the augmented matrix A, we proceed as follows:
(a) R = 1 + 12:
Add 12 times row 1 with row 2,
1 2 -6 | -5
0 -14 -32 | 14
-3 -10 -2 | -4
(b) Rg - 3r + r:
Add 3 times row 2 to row 3, and subtract row 3 from row 1
1 2 -6 | -5
0 -14 -32 | 14
0 -16 -38 | -9
(c) Rs = 4r2 + 13:
Multiply row 2 by 4 and add 13 times row 2 to row 3
1 2 -6 | -5
0 1 -8 | 13
0 0 42 | -177
So the resulting augmented matrix is:
1 2 -6 | -5
0 1 -8 | 13
0 0 42 | -177
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Michelle had 7 paperback books and 4 hardcover books on the shelf by her bed. Write a ratio to represent the ratio of paperback books to hardcover books
Answer:
7:4 that would be the ratio
Use the working backward method to find the solution of the equation.
6y - 5=7
y=____
Answer:
y = 2
Step-by-step explanation:
6y - 5 = 7
~Add 5 to both sides
6y = 12
~Divide 6 to both sides
y = 2
Best of Luck!
Answer:
2.16
Step-by-step explanation:
6y - 5 = 7
7 + 5 = 13
6y = 13
6y/6 = 13/6
y = 2.16
HELP PLEASE If quadrilateral ABCD is rotated 90° clockwise about point A and then reflected across the y-axis to create quadrilateral A’B’C’D’, what will be the coordinate of D’?
According to the 90° clockwise rotation, the new coordinate of the quadrilateral D' is (3, -2)
Quadrilateral
Quadrilateral refers a closed shape and a type of polygon that has four sides, four vertices and four angles.
Given,
If quadrilateral ABCD is rotated 90° clockwise about point A and then reflected across the y-axis to create quadrilateral A’B’C’D’.
Here we need to find the coordinate of D'.
In order to find the new coordinates, first we have to identify the current coordinates of the quadrilateral.
While we looking into the graph, we have identify the point of
A (0,0), B(-4, 3), C(1,5) and D(2,3)
Now, we have to use the rule of clockwise 90° rotation, states that to rotate the figure 90 degrees clockwise about a point, every point(x , y) will rotate to (y, -x).
According to this rule, the new coordinates are written as,
A(0,0) = A'(0,0)
B'(-4,3) = B'(-3,-4)
C(1,5) = C'(5, -1)
D(2,3) = D' (3, -2)
Therefore, the new coordinate of D' is (3, -2).
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help me asp HELPPPPPPPPP ME
Answer:
C is the answer
Step-by-step explanation:
Because he have most tresures.
Answer: deep diving dan
Step-by-step explanation: he dived 26 times and found 104 treasure boxes
Evaluate 3z + 6 when z=4
Answer:
3(4)+6
12+6
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
If z = 4
3z + 6
= 3 ( 4 ) + 6
= 12 + 6
= 18
PS
The diagram shows the dimensions of a coal bunker.
The volume of the bunker is 0.432 m^3
Calculate the length, a, shown on the diagram. Give your answer in centimetres.
Answer:
Step-by-step explanation:
80×= 8×+16
Which equation has the solution x = 2?
A. 5x + 1 = 10
B. 4x - x = 4
C. 3x + 2 = 8
D. 2x - 3 = 9
Answer:
\(3x + 2 = 8 \\ 3x = 6 \\ x = \frac{6}{ 3} \\ x = 2\)
Zales sells diamonds for $1,100 that cost $800. What is Zales’s percent markup on selling price? Check the selling price.
Zales's percent markup on the selling price as required in the task content is; 37.5%.
Percentages and markup priceIt follows from the task content that the percent markup on the selling price be determined according to the given data.
Since the cost of diamonds is; $800 while the diamonds sell for $1,100. It follows that the markup on the selling price of the diamonds is;
Markup = Selling price - Cost price.
Hence, we have;
Markup = 1,100 - 800.
Therefore, the markup is; $300.
On this note, the percent markup can be determined as follows;
= (300/800) × 100%.
= 37.5%.
Ultimately, the percent markup on the diamonds is: 37.5%.
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describe a family member in 3-5 sentences (use nouns) make it easy and simple please!!
GIVING BRAINLIEST PLEASE HELP!!!!!!!!!!!!!!!! Calculate the correlation coefficient of the following data: (1,1) (2,3) (3,6) (4,2) (7,9) (8,6) (10,7)
Answer:
The value of R is 0.7482.
Step-by-step explanation:
X Values
∑ = 35
Mean = 5
∑(X - Mx)2 = SSx = 68
Y Values
∑ = 34
Mean = 4.857
∑(Y - My)2 = SSy = 50.857
X and Y Combined
N = 7
∑(X - Mx)(Y - My) = 44
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 44 / √((68)(50.857)) = 0.7482
r = 0.7482
Sorry if I get this wrong Because not for sure how you need the awnsers I dont know if this is the right way
Mx: 5.000
My: 4.857
Sum: 68.000
Sum: 50.857
sum: 44.000
X Values
∑ = 35
Mean = 5
∑(X - Mx)2 = SSx = 68
Y Values
∑ = 34
Mean = 4.857
∑(Y - My)2 = SSy = 50.857
X and Y Combined
N = 7
∑(X - Mx)(Y - My) = 44
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 44 / √((68)(50.857)) = 0.7482
Meta Numerics (cross-check)
r = 0.7482
During practice, the players on a softball team warm up by running the bases. This graph shows the relationship between the number of hours, x, of practice the players attend and the number of minutes, y, the players spend running the bases.
How many minutes do the players spend running the bases during each hour of practice?
The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
In the context of this problem, the variables x and y are given as follows:
Variable x: number of hours.Variable y: time spent running the bases.The equation for the constant is given as follows:
k = y/x.
Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.
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I also need to know the value of T
Answer:
hello
Step-by-step explanation:
\(137 = - 151 + t \\ 137 + 151 = t \\ t = 288\)
hope this is correct.
Problems involving distance typically use the formula d
=
Answer: d=rt
Step-by-step explanation: the distance formula is speed times time. I’m guessing r=rate, and since speed and rate are similar I would say that’s the answer.
Simplify 2x^2-7x-4/x^2
Answer:
Option 1
Step-by-step explanation:
\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)
I need to know how to solve for this.
9514 1404 393
Answer:
use the rules of exponents
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
__
Applying these to the left-side expression, we can simplify it so it looks like the right side expression.
\(\dfrac{(12x^5)(2x^7)}{(2x^2)^3}=\dfrac{12\cdot2x^{5+7}}{2^3x^{2\cdot3}}=\dfrac{24x^{12}}{8x^6}\\\\=3x^{12-6}=\boxed{3x^6}\)
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
Ralph’s classroom measures 12 meters in length. What is the length of the classroom in millimeters?
A. 11,000 mm
B. 12,000 mm
C. 12,500 mm
D. 13,000 mm
Answer:
b. 12 000 mm
Step-by-step explanation:
multiply by 1 000
3 ice cream cones cost 8.25 at this rate how much do 2 ice cream cones cost