Answer:
2x+3 / x = 1
Step-by-step explanation:
The area of the patio is 216 square feet. Write an equation that represents the area of the patio
Answer:
[tex]216=2w \times w[/tex]
Step-by-step explanation:
Assuming that the patio is a rectangle, we have
[tex]A= l\times w[/tex]
Where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
Now let's assume that the length of the patio is double than the width.
[tex]l=2w[/tex]
So, the equation that represents this problem is
[tex]216=2w \times w[/tex]
Answer:
x(x+6)=216
Step-by-step explanation:
It would actually be x instead of w because in the equation, they are using x's.
The equation would then be solved by making the equation x^2+6x=216.
By completing the square using (b/2)^2, you would then get the width to be 12 and the length to be 18.
Hope this helps!
[tex](3x-1)^{2} + 12x-4=0[/tex]
Can someone help me solve this. I am stuck at [tex]3(3x^{2} + 2x-1)[/tex]
By visual inspection, determine the best-fitting regression model for the
scatterplot.
Answer:C
Step-by-step explanation:
By visual inspection, the best-fitting regression model for the data plot is the linear regression.
What is a regression model?A regression model determines a relationship between an independent variable and a dependent variable, by providing a function.
Determining the regression model :-
From the graph, we can see that the points appears to be on a straight line such that, as the x values increases, the y values also increases,
This type of model is a linear regression model.
Hence, the best-fitting regression model for the data plot is the linear regression.
Read more about regression models at:
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I need help with this
Answer:
Step-by-step explanation:
1/2
The values of negative and positive exponents come get the points !!!!!!!!!!!!!!!!!!! plz help me
Step-by-step explanation:
In order going from top to bottom, we have 1/1000 (or 0.001), 1/100 (or 0.01), 1/10 (or 0.1), 10, 100, 1,000 , 10,000, and 100,000. Hope this helps!
need help with my math checking it over just making sure its right please help it is a lot!
Answer:
14. 14.86 (simple subtraction)
15. 4 dollars (156/39 = 4)
18. 49 (36,39,44,48,50,50,54,55 so mean of 48 and 50 is 49)
19.14 (3.5/0.25)
20. A(understanding question contex)
25. 3a + 3b or C (add all the a's and b's together)
26. 5 (Divide apples by 3)
28.C(multiply all the sides together)
29. A (12/7 is fraction form of 12 : 7)
30. C (rate is 20 so 6 * 20 = 120)
31. D
Hoped this helped, this took a while to do :)
Lightning electronics changes $9.98 plus 0.75 per pound to ship electronics purchases. Write and solve an equation to find the weight in pounds, of a DVD player for which the shipping charge is $18.23
Answer: 11 pounds
Step-by-step explanation:
x : # of pounds an electronic is
9.98 + 0.75x : total cost of shipping an electronic that is "x" pounds
9.98 + 0.75x = 18.23
0.75x = 8.25
x = 11 pounds
Draw a tree diagram for three fair coins tossed together once.
a) Derive the sample space.
b) Find the probability of getting:
i) at least one head
ii) at most one tail
iii) exactly three heads.
Answer:
I have attached a picture with the work to your question.
Please see the attachment below.
I hope this helps.
Can you put the digits 1 to 11 in the circles so that every line has the same total?
Put the 1 in the middle, and then put on two opposite circles two numbers that sum to 11:
1, 10
2, 9
3, 8
4, 7
5, 6
Yes, you put the digits 1 to 11 in the circles so that every line has the same total.
What are the digits?A number is a count or measurement that is really an idea in our minds.
The digits 1 to 11 in the circles so that every line has the same total.
The given digits are as follows;
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.
The sum of the first number and last number is;
1 + 11 = 12
Similarly, the sum of the second number and second last element is;
2 + 10 = 12
The sum of the third number and third last element is;
3 + 9 = 12
The sum of the fourth number and fourth last element is;
4 + 8 = 12
The sum of the fifth number and fifth last element is;
5 + 7 = 12
The sum of the sixth number and sixth last element is;
6 + 6 = 12
The sum of the seventh number and seventh last element is;
7 + 5 = 12
The sum of the eighth number and eighth last element is;
8 + 4 =12
The sum of the ninth number and ninth last element is;
9 + 3 = 12
The sum of the tenth number and tenth last element is;
10 + 2 = 12
The sum of the eleventh number and eleventh last element is;
11 + 1 = 12
Hence, yes you put the digits 1 to 11 in the circles so that every line has the same total.
Learn more about digits here;
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what is the length of a leg in a 45-45-90 triangle is the hypotenuse is 8
Answer:
The legs are both of length 4√2
Step-by-step explanation:
Let the length of one of the two equal legs be x. Then, by the Pythagorean Theorem, x^2 + x^2 = 8^2, or
2x^2 = 64, or x^2 = 32 = 2(16)
Solving for x, x = 4√2. The legs are both of length 4√2.
what is the sum of the infinite series: 1-4+16-64+. . .
Step-by-step explanation:
I think we cannot find the sum because it will continue on so the series is multiply by 4
estimate the radius of the Big Ben clock face in London to the nearest meter.Using C=44m
Answer:
7 meters
Step-by-step explanation:
Circumference is equal to pi times diameter. If you divide both sides of the equation by pi you get diameter of the Big Ben clock. If you divide diameter by 2 you get radius.
Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?
Answer: The area of one wall is 216.72 ft^2.
Step-by-step explanation:
16.8 * 12.9 = 216.72
Please help with this question. I don’t get it.
8) Lea and Elisa each improved their yards by planting hostas and geraniums. They
bought their supplies from the same store. Lea spent $69 on 11 hostas and 7
geraniums, Elisa spent $64 on 10 hostas and 7 geraniums. What is the cost of one
hosta and the cost of one geranium?
Answer:
hosta = $5 each
geranium = $2 each
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
Leas's cost: 11 h + 7 g = 69
Elisa’s cost: 10h + 7g = 64
Where h is the price of one hosta and g is the price of one geranium.
Subtracting Elisa's cost to Leas's cost:
11 h + 7 g = 69
-
10h + 7g = 64
____________
h = $5
Replacing h in one equation:
11 (5) + 7 g = 69
55 +7g =69
7g = 69-55
7g= 14
g= 14/7
g= $2
What is the measure of AngleDEF? Triangle D E F. Angle D is 28 degrees. Angle F is 47 degrees. 25 degrees 75 degrees 90 degrees 105 degrees
hellllpppp
Answer:
105 degrees
Step-by-step explanation:
The sum of the angles on a triangle must always equal 180 degrees. We know that two angles are 28 and 47, so the third angle must be 105.
28 + 47 + x = 180
75 + x = 180
75 - 75 + x = 180 - 75
x = 105
Answer:
105 degrees
Step-by-step explanation:
28+47=75
180-75=105
Corey brought $54.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as the sketchbook, and the sketchbook cost 3 4 the cost of the paint set. Corey had $2.00 left over after buying these items. What was the cost of each item?
Answer: The items cost as follows;
(a) Brush = $3.50, (b) Sketchbook = $21 and (c) Paint set = $28
Step-by-step explanation: First of all we shall assign letters to the unknown variables, hence we shall call the brush x, the sketchbook y, and the paint set we shall call z.
The total amount spent by Corey was $52.50 because after buying all he needed, he had $2.00 left out of a total of $54.50. This means his transaction can be expressed as follows;
x + y + z = 52.50
However, we know that the brush was 1/6 as much as the sketchbook, that is, if the sketchbook is y, then the brush which is x shall be 1/6 of y. Simply put, x = 1/6y or x = y/6.
Similarly, the sketchbook cost 3/4 of the paint set. If the paint set is z, that means y = 3/4z or y = 3z/4.
Note however that, if y = 3z/4, then by cross multiplication,
4y = 3z
4y/3 = z
Having derived that x = y/6 and z = 4y/3, we can substitute for the values of x and z into the original equation
x + y + z = 52.50
y/6 + y + 4y/3 = 52.5
using a common denominator which is 6, you now have;
(y + 6y + 8y)/6 = 52.5
By cross multiplication, you now have
15y = 52.5*6
15y = 315
Divide both sides of the equation by 15
y = 21
Therefore, if the sketchbook is y, then the sketchbook costs $21.
Also if the brush is x, then the brush costs
x = y/6
x = 21/6
x = 3.50 (The brush costs $3.50)
Also if the sketchbook costs 3/4 of the paint set, then
y = 3z/4
21 = 3z/4
21*4 = 3z
84 = 3z
Divide both sides of the equation by 3
28 = z (The paint set costs $28)
I bought 45 oz of flour. She used 15.6 oz to make a loaf of bread, 0.71 oz for each muffin. How many muffins were made if you have 18.04 oz left over?
Answer:
16
Step-by-step explanation:
Total weight of flour =45 ozWeight of flour used for bread =15.6 ozLeftover =18.04 ozTherefore:
Weight of flour used for muffin =Total weight of flour-(Weight of flour used for bread+Leftover)
=45-(15.6+18.04)
=45-33.64
=11.36 oz
Since each muffin is made with 0.71 oz of flour
Number of muffins made=11.36/0.71
=16
16 muffins were made.
Which is the greatest mass? *
4000 g
400000 mg
40 kg
400 cg
Write an equation in slope-intercept form of the line with the given characteristics:
1. Slope: -3; passes through (0,5),
2. Passes through (0, -2) and (4,-1)
Answer:
1. Slope: -3; passes through (0,5)
y = mx + b
5 = -3(0) + b
5 = b
y = -3x + 5
2. Passes through (0, -2) and (4,-1)
m = -1 + 2 / 4 - 0
m = 1/4
y = mx + b
-2 = 1/4(0) + b
-2 = b
y = 1/4x - 2
Step-by-step explanation:
Part 1
1. write down the slope intercept formula
2. replace x and y by their value
3. solve for b
4. write your answer by putting them in the formula again
Part 2.
1. label your ordered pairs and write down the slope formula
2. solve for the slope by replacing the letters by their values
3. choose any one of the pairs, write down the slope intercept form formula and replace the letters by their values.
4. solve for b, and then put your answers back into the formula.
If x is Equal to 7, what is 7 divided by 3 and round it up
Answer:
2.3 or 2
Step-by-step explanation:
O'neil cinema charges $10.50 for each adult and $8.50 for each child. The total amount in ticket revenue one evening was $3136 and if there were 56 more children than adults. Write and solve a system of equations to determine how many children attended?
Answer:196 children 140 adults
Step-by-step explanation:
solve for a side in right triangles
Answer:
AC = 3.06
Step-by-step explanation:
if r = 7 and s = 10, find R. Round to the nearest 10th
Answer:
R = 35.0
Step-by-step explanation:
We know tan theta = opp/ adj
tan R = r/s
tan R = 7/10
Take the inverse tan of each side
tan ^-1 tan (R) = tan ^-1 (7/10)
R =34.9920202
R = 35.0
Answer:
A. 35º
Step-by-step explanation:
Professor Plum is standing 10 feet from a streetlamp. The light from the lamp is making his
shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the
top of the streetlamp is 40. About how high is the streetlamp? (6 points)
Answer:
15.10 ft
Step-by-step explanation:
It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.
tan (theta) = opposite side / adjacent side
tan 40 = x / 18
x = 15.10 ft
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what is the slop of the line represented by y= 5x - 7
Answer:
The slope is
m =5
The y-intercept is
b =-7 or (0,7)
Step-by-step explanation:
Question 1 (1 point)
Identify the slope and y-intercept.
y = -4x - 2
m = -2, b = -4
b
m = 4, b = 2
m = -4. b = 2
m= -4, b= -2
Answer:
m = - 4, b = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = - 4x - 2 ← is in slope- intercept form
with m = - 4 and b = - 2
2. In two tosses of a fair die, what is the probability that:
i. The sum of the two numbers that show up is 7?
ii. The sum of the two numbers that show up is even?
iii. The sum of the two numbers that show up is greater than 9?
3. The probability that an egg will break when kept in the store is 5 out of every 200. How many broken eggs do you expect from a crate containing 600 eggs?
Answer:
Step-by-step explanation:
The outcomes table is shown in the attached diagram. From the table, the total number of outcomes is 36.
i) the number of outcomes whose sum is 7 are 6 (1,6 2,5 3,4 4,3 5,2 6,1)
The probability that the sum of the two numbers that show up is 7 is
6/36 = 1/6
ii) the number of outcomes whose sum is even are 18
The probability that the sum of the two numbers that show up is even is
18/36 = 1/2
ii) the number of outcomes whose sum is greater than 9 is 6(4,6 5,5 6,4 5,6 6,5 6,6)
The probability that the sum of the two numbers that show up is greater than 9 is
6/36 = 1/6
3) this is a poisson distribution. We want to determine the mean.
Mean = np
p = 5/200 = 0.025
n = 600
Therefore,
Mean = 0.025 × 600 = 15 eggs
15 eggs are expected to be broken from a crate containing 600 eggs
1. Solve for x
X - 10 = 15
which one is the largest 20% , 4/15 , 0.21 , 1/4
Answer:
1/4 is the largest number in the list