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Related Questions
Charlie used these steps to solve the equation 6x+5=1+2(3x+2)6x+5=1+23x+2. Which choice describes the meaning of his result, 5=5
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[6x+5]=1+2*(3x+2)
[6x+5]=1+2*3x+2 --------> is not correct ------->1+ 2*(3x+2)=1+2*3x+2*2
then
[6x+5]=1+6x+4---------------> [6x+5]=[6x+5]
this equation is an identity, all real numbers are solutions.
Answer:
All values of x make the equation true. It is an infinite solution.
can you please help me with this I will crown you brainly
Answers
It's identical on both sides.
TWO QUESTION MUST ANSWER BOTH TO RECEIVE POINTS (PLEASE TAKE IT SERIOUSLY)
1) Line IJ has an equation of a line y = −3x − 8. Which of the following could be an equation for a line that is parallel to line IJ?
A) y = 3x + 7
B) y = 1 over 3x + 7
C) y = −3x + 7
D) y = −1 over 3x + 7
2) Find the perimeter of the shape below:
A) 12.4 units
B) 13.4 units
C)15.1 units
D) 16.8 units
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Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. heidi rented a car one day and paid $58 for 190 miles. on another day she rented a car from the same agency and paid $86 for 330 miles. find the linear function f(x) (where x is in miles and f(x) is in dollars) that the agency could use to determine its daily rental charges.
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The linear function f (x) hat the agency could use to determine its daily rental charges will be;
⇒ f (x) = 0.2x + 20
Where, f (x) is in dollars and x is in miles.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Heidi rented a car for one day and paid $58 for 190 miles.
And, On another day she paid $86 for 330 miles.
Now,
We find the linear function for f (x), where f (x) is in dollars and x is in miles as;
Here the two situations are given for miles and dollars as;
(190, 58) and (330, 86)
Thus, The linear function with two points (190, 58) and (330, 86) is defined as;
⇒ y - y₁ = (y₂ - y₁)/(x₂ - x₁) (x - x₁)
⇒ y - 58 = (86 - 58) / (330 - 190) (x - 190)
⇒ y - 58 = 28 / 140 (x - 190)
⇒ y - 58 = 1/5 (x - 190)
⇒ y - 58 = 0.2 (x - 190)
⇒ y - 58 = 0.2x - 38
⇒ y = 0.2x - 38 + 58
⇒ y = 0.2x + 20
⇒ f (x) = 0.2x + 20
Thus, The linear function f (x) hat the agency could use to determine its daily rental charges will be;
⇒ f (x) = 0.2x + 20
Where, f (x) is in dollars and x is in miles.
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To determine the daily rental charges at a car rental agency based on fixed and per mile fees, the linear function f(x) is found to be $40 + $0.15 per mile.
Linear function f(x):
Define variables: Let d = daily rental charge, m = per mile charge.Form equations based on given data: $58 = d + 190m and $86 = d + 330m.Solve the system of equations to find f(x): d = $40 and m = $0.15. Therefore, f(x) = 40 + 0.15x.Which sets of the real number system does − 2 belong to?
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Write an expression to show the sum of fourteen and triple eight.
Answers
Look at the rational expression below. x^2-4/2-x Which value of x makes the expression undefined?
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Answer:
given rational function is undefined for x = 2
Step-by-step explanation:
The given rational function is
[tex]\frac{x^2-4}{2-x}[/tex]
The rational function is undefined if the denominator is zero.
Hence, the given rational function is undefined if
[tex]2-x=0[/tex]
Solve the equation for x
[tex]x=2[/tex]
Therefore, the given rational function is undefined for x = 2
For model 5, the tip of the blade travels 0.18 mile per revolution. What is the approximate speed, in revolutions per minute,for model 5?
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need the answer tooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
The approximate speed of model 5's 148-foot blade travels at 0.18 miles per revolution converted to feet is approximately 385.8 revolutions per hour.
To find the number of revolutions per minute for Model 5 with a blade length of 148 feet and a tip speed of 0.18 miles per revolution,
use the following calculation:
First, convert the tip speed from miles to feet:
0.18 miles × 5280 feet per mile = 950.4 feet per revolution
Now, divide this by the length of the blade in feet:
950.4 feet per revolution / 148 feet = 6.43 revolutions per minute
Finally, multiply this by 60 minutes per hour to get the number of revolutions per hour:
6.43 revolutions per minute × 60 minutes per hour = 385.8 revolutions per hour
Therefore, the required speed of model 5 has a blade that makes approximately 385.8 revolutions per hour.
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What type of number results when a negative number is multiplied by a positive number and vice versa?
A. A negative number
B. Zero
C. A positive number
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A positive number results
when a negative number is multiplied by a positive number and vice versa.
This means your answer is option C.
Hope this helps you.
Have a great day! (:
HELP!!!!!!!!!Which geometric series converges?
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The second series does converge. As the sequence continues, the numerator will stay 1 and the denominator will continue to increase. This means the overall fraction gets smaller and smaller, approaching 0. Thus the sum will approach a finite number.
The third series does not converge. As the exponents get larger and larger, the answers will swing to larger positives and larger negatives each time. As the sum goes on, the absolute value of it will get larger and the sign will switch.
The fourth series does not converge. As 2 gets raised to a higher and higher exponent, the product of it and 1/5 will be a larger and larger number. It will approach infinity, not a finite number.
Answer:
its b
Step-by-step explanation:
A sphere has a radius of 26 inches. a horizontal plane passes through the center of the sphere describe the cross section formed by the plane and the sphere.
Answers
When a horizontal plane passes through the center of a sphere with a radius of 26 inches, the cross-section formed is a circle with a radius of 26 inches.
let's break down the problem into two parts:
Describe the cross-section: We'll describe the shape formed when a horizontal plane passes through the center of the sphere.
Calculate the dimensions of the cross-section: We'll calculate the dimensions of the cross-section, such as its radius or diameter.
1. Describe the cross-section:
When a horizontal plane passes through the center of a sphere, it divides the sphere into two equal halves. The cross-section formed by this plane and the sphere will be a circle. Since the plane passes through the center of the sphere, the circle will be perfectly centered.
2. Calculate the dimensions of the cross-section:
Since the radius of the sphere is given as 26 inches, the radius of the cross-section (which is also the radius of the circle formed) will also be 26 inches.
So, the cross-section formed by the plane and the sphere is a circle with a radius of 26 inches.
A wedding planner purchased small and large lanterns for a wedding reception. The small lanterns cost $25 each, and the large lanterns cost $40 each. The planner purchased a total of 40 lanterns for a total of $1180.
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Explanation:
x=Amount of Small Lanterns y=Amount of Large Lanterns
25x+40y=1180
x+y=40
x=40-y
25(40-y)+40y=1180
1000-25y+40y=1180
1000+15y=1180
15y=180
y=12
x+12=40
x=28
Answer:
The wedding planner must have purchased 28 small lanterns and 12 large lanterns.
Step-by-step explanation:
Let the number of small and large lanterns purchased be S and L respectively.
S + L = 40 ........ Equation 1
L = 40 - S
25S + 40L = 1180 ....... Equation 2
25S + 40(40 - S) = 1180
25S + 1600 - 40S = 1180
-15S = 1180 - 1600
-15S = -420
S = 28
L = 40 - S
L = 40 - 28
L = 12
The wedding planner must have purchased 28 small lanterns and 12 large lanterns.
Samuel has a collection of toy cars. his favorites are the 272727 red ones which make up 60\%60%60, percent of his collection.how many toy cars does samuel have?
Answers
1 % = 27 ÷ 60 = 0.45
100% = 0. 45 x 100 = 45
Samuel has 45 cars.
Answer:
Khan Academy said 45 hope it helps! :)
HELP FAST!!!
What is the value of x? Enter your answer in the box. x = Triangle with angles labeled x minus 4 degrees, 3 x degrees, and 100 degrees.
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[tex](x-4) +3x + 100 =180 combine like terms 4x + 96 = 180 subtract 96 from both sides 4x = 84 divide both sides by 4 x = 21 [/tex]
To find the value of x in the triangle, set up an equation using the triangle angle sum theorem and solve for x. The value of x is 21 degrees.
The problem involves finding the value of x in a triangle with given angle measures. According to the triangle angle sum theorem, the sum of the angles in any triangle is always 180 degrees. In this case, we are given two expressions for the angles in terms of x: x - 4 degrees and 3x degrees, plus a given angle of 100 degrees.
To solve for x, set up an equation using the given angles:
x - 4 + 3x + 100 = 180
Combine like terms to solve for x:
4x - 4 + 100 = 180
4x + 96 = 180
4x = 180 - 96
4x = 84
x = 84 / 4
x = 21
35 POINTS!!
The scatter plot shows the relationship betweeen the number of hours students spend watching television and the numer of hours they spend playing outdoor sports each week.
A graph is titled Television and Sport. On the x axis, the label is Weekly Hours of
What is the y-intercept of the line of best fit and what does it represent?
A 10.4 hours; the number of hours students play outdoor sports in a week when they do not watch television
B 7.2 hours; the number of hours students play outdoor sports in a week when they do not watch television
C 10.4 hours; the number of hours students watch television in a week when they do not participate in any outdoor sports
D 7.2 hours; the number of hours students watch television in a week when they do not participate in any outdoor sports
Answers
Answer:
D 7.2 hours; the number of hours students watch television in a week when they do not participate in any outdoor sports
Step-by-step explanation:
Given is a scatter plot which shows the relationship betweeen the number of hours students spend watching television and the numer of hours they spend playing outdoor sports each week.
From the graph showing the regression line, the regression line has y intercept as 7.2
(When x=0, y =7.2)
Hence correct answer is
D 7.2 hours; the number of hours students watch television in a week when they do not participate in any outdoor sports
There are 454 grams in a pound. There are 16 ounces in a pound. How many grams are in an ounce?
Answers
Answer: There are 28.375 grams in an ounce.
Step-by-step explanation:
Given: Total grams in a pound =454 grams
Total ounces in a pound = 16 ounces
Therefore, 16 ounces = 454 grams
To find grams in an ounce, we need to divide 454 grams by 16, we get
The total grams in an ounce=[tex]\frac{454}{16}=28.375\ grams[/tex]
∴The total grams in an ounce= 28.375 grams
Hence, there are 28.375 grams in an ounce.
28.375 grams in an ounce.
To calculate how many grams are in an ounce, divide 454 (grams in a pound) by 16 (ounces in a pound) to get 28.375 grams in an ounce.
To find out how many grams are in an ounce:
Given: 1 pound = 454 grams and 1 pound = 16 ounces.Since 1 pound = 454 grams and 1 pound = 16 ounces, divide 454 by 16 to find out how many grams are in an ounce.454 grams ÷ 16 = 28.375 grams in an ounce.Your school raise 125% of its fundraising goal. The goal raised $6,750. What was the goal?
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100/x = 125 / 6750
100% is to x and 125 is 6750
100/x = 125/6750 Cross multiply.
100 * 6750 = 125x Divide by 125
100 * 6750 / 125 = x
x = 5400 was the initial goal.
Which expression has an equivalent value to x^2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x +4)
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An object with reflectional symmetry can be created by reflecting it about an axis called the _____.
A. Point of symmetry
B. Line of symmetry
C. Symmetrical half
D. Equator of symmetry
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Reflection symmetry is a symmetry with respect to the reflection and is also know as mirror symmetry, line symmetry or mirror-image symmetry.
When a figure undergoes a reflection and does not change , then the figure is said to has the reflectional symmetry.
An object with reflectional symmetry can be created by reflecting it about an axis called the Line of Symmetry.
Hope this helps ..!!
Thank you :)
Find the supplement to the angle whose measure is 70 degrees. Show all your work
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therefore the sum of our angles will be:
x+70=180
solving for x we get:
x=180-70
x=80°
hence the value of the supplement of 70° is 80°
Really need help! Been trying to solve for a while.
1. Solve the system by using a table. 3y=4x+7 , -4x-4y=28. These are the possible solutions:(–4, –3),(–3, –4), (4, 3),(3, 4).
2.Solve by graphing. -3x-y=-10, 4x-4y=8. possible solutions:(-1,3), (3-1), (1,3), (3,1)
Answers
-4x - 4y = 28
=========
-7y = 21 ; y = 21/-7 = -3
Substituting value of y in equn 1
4x - 3(-3) = -7
4x +9 = -7
4x = -7 -9
4x = -16
x = -4
Solution : (-4, -3)
-------------------------------------
-3x - y = -10 .... equn 1
4x - 4y = 8 .... equn 2
=========
x - 5y = -2 ; x = 5y - 2
Substituting value of x in equn 1
-3(5y - 2) -y = -10
-15y + 6 -y = -10
-16y = -10 - 6
-16y = -16
y = 1
Substituting value of y in equn 1
-3x - 1 = -10
-3x = -9
x = 3
Solution : (3,1)
A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.
What is the maximum area that can be enclosed by the fencing?
Enter your answer in the box.
ft²
Answers
Answer
Maximum area A_max = 11250 ft^2
Step-by-Step Explanation
Declaring Variables:-
The length of the rectangle = y
The width of the rectangle = x
Solution:-
- The perimeter of a rectangle can be expressed using the above two variables as follows:
Perimeter (P) = 2*Length + 2*Width
= 2* ( x + y )
- Since the barn is used as one of the sides (let's say y) we can subtract y
we don't need fencing for this side. The length of the fence required L is:
Length (L) = P - y
= 2*x + y
- We are given 300 feet of fencing. So we equate the length equal to 300 and develop a linear relationship between width and length of the barn.
300 = 2x + y
y = 300 - 2x
- The area (A) of the rectangle is given by the following expression:
A = Length*width
A = x*y
- Substitute the relationship developed between x and y in the Area (A) expression above. Then we have:
A = x*(300 - 2x)
A = 300x - 2x^2
- We will take first derivative of the expression of area (A) developed with respect to x and find the critical point of the area function by setting the first derivative A'(x) = 0.
A(x) = 300x - 2x^2
A'(x) = 300 - 4x
0 = 300-4x
x = 300 / 4 = 75 ft
- The critical point of the given function lies for the width (x) of 75 ft. We will plug in the critical value x = 75 ft back into the original function of Area and find the maximum area.
A(x) = 300x - 2x^2
A(75) = 300 (75) - 2(75)^2
A_max = A(75) = 11250 ft^2
- The maximum area that can be enclosed by the fencing is 11250 ft²
Answer:11250
Step-by-step explanation:
Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase or decrease per time period.
y=2(1/2)^t
Plz help!
Answers
The decay factor is 1/2.
The change is (1/2 -1)*100% = -50% per period. Negative indicates a decrease of 50% per period.
The vertex of a quadratic function is located at (1, 4), and the y-intercept of the function is (0, 1). What is the value of a if the function is written in the form y = a(x – h)2 + k?
a=____
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[tex]y=a(x-1)^{2} +4[/tex]
The y-intercept of the parabola is (0,1). Which means for x=0, y=1 for the given parabola. Using these values of x and y in above equation, we can find the value of a for the parabola.
[tex]1=a (0-1)^{2} +4 \\ \\ 1-4=a \\ \\ a=-3[/tex]
The equation of parabola thus becomes:
[tex]y=-3 (x-1)^{2} +4[/tex]
Answer:
-3
Step-by-step explanation:
right on edge
Nancy randomly scattered one handful of seeds in her garden. The garden is circular and has a radius of 5 feet. Somewhere in the garden is a 2 feet by 2 feet square patch that has especially good soil for the seeds. If it is equally likely for a seed to land anywhere in the garden, what is the probability that a seed will land in the 2 feet by 2 feet square?
Answers
the garden is circular--------------> r=5 ft
Area1=pi*r²=pi*5²=78.50 ft²
path 2 feet by 2 feet square (good soil for the seeds)
Area2=2*2=4 ft²
the probability that a seed will land in the 2 feet by 2 feet square=Area2/Area1
P=4/78.5=0.051 (5.1%)
the answer is 0.051 (5.1%)
What is the ratio of x to y?
3x = 8y
Answers
3x= 8y
x 8
-- = ---
y 3
Final answer:
The ratio of x to y, given the equation 3x = 8y, is 8:3. This is found by dividing both sides of the equation by 3y and simplifying.
Explanation:
To find the ratio of x to y, given the equation 3x = 8y, you can divide both sides of the equation by 3 to solve for x in terms of y, or vice versa.
Dividing both sides by 3y yields:
x/y = (8y)/(3y)
Assuming y is not zero, the y terms cancel out on the right side of the equation, giving us:
x/y = 8/3
Method 2: Using fraction notation:
Rewrite the equation with x isolated:
x = (8/3) × y
This also shows that the ratio of x to y is 8:3.
Both methods lead to the same answer: x : y = 8 : 3.
Thus, the ratio of x to y is 8:3.
A soccer ball has a radius of 6 inches, what is the approximate volume of the ball? Pi =3.14 *
Answers
4/3 * 3.14 * 216
4/3 * 678.24
904.32
Answer is 904.32
Larry wants to inscribe an equilateral triangle in a circle using only a compass and straightedge. He will first construct a circle and locate its center. He will then perform the following steps.
Step 1: Set the width of the compass to the diameter of the circle.
Step 2: Plot a point on the circle. Place the compass on this point and draw two arcs to cut the circle. These two points of intersection between the arcs and the circle represent two of the vertices.
Step 3: Draw a segment between the two vertices. Adjust the width of the compass to the length of the segment. Place the compass on one vertex and draw an arc to construct the third vertex.
Step 4: Draw a line from one vertex to the next to form an equilateral triangle.
What is the error in Larry's construction?
A. He did not draw a pair of perpendicular bisectors to construct two diameters of the circle.
B. He drew only two arcs.
C. He set the width of the compass to the diameter of the circle.
D. He did not ensure that the length of the sides of the triangle was the same as the diameter of the triangle.
Answers
He set the width of the compass to the diameter of the circle. The step 1 should be: Set the width of the compass to the radius of the circle.
The error in Larry's construction is:
C. He set the width of the compass to the diameter of the circle.
Step-by-step explanation:The steps for the construction of an inscribed equilateral triangle is as follows:
Step 1: Draw a circle on a piece of paper.Take a point anywhere on the circumference of the circle and take that point as a starting point.Step 2: Now without changing the span of the circle we have draw two arcs to cut the circle.These two points of intersection between the arcs and the circle represent two of the vertices. Step 3: Draw a segment between the two vertices. Adjust the width of the compass to the length of the segment. Place the compass on one vertex and draw an arc to construct the third vertex. Step 4: Draw a line from one vertex to the next to form an equilateral triangle.Hence, the error he that he set the width of compass equal to the diameter of circle.
Instead he should have set the width of the compass equal to the radius of the circle.
What is the value of e^In7x a.1 b.7e c.7x d.7
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Just took the test!
PLEASE HELP ASAP!!! 42 POINTS
Answers
Answer:Yes, since the slopes are the same and the y-intercepts are different.