Answer:
The mechanic spent 12 hours on the repair.
Step-by-step explanation:
$595-$55=£540. £540 is the total of the amount the mechanic charges for an hour, MINUS the computer diagnostic testTo find out how many hours the mechanic spent on the repair, we have to do $540 divided by $45, which is 12.The mechanic spent 12 hours on the repair.
If the HCF is 5 and the product of the two numbers is 70, find the value of LCM.
If the HCF is 5 and the product of the two numbers is 70, then the value of LCM is 14.
Do two numbers make a product when they are the LCM of two numbers?The smallest number that can be divided by both numbers is known as the least common multiple, or LCM, of two numbers. The product of the two numbers is the LCM if their greatest common divisor is 1, in which case their product is 1.
Using the fundamental theorem of mathematics, how do you find the HCF and LCM?First, multiply both numbers by their prime factors to express them. Then, multiply the common factor with the highest power by the remaining factors to obtain the LCM. Take the common factors with the lowest power and multiply them to determine HCF.
To find the LCM of two numbers, you can use the formula: LCM = (a * b) / HCF.
In this case, we know that the HCF is 5, and the product of the two numbers is 70. Therefore, we can substitute these values into the formula:
LCM = (70) / 5 = 14.
So the LCM of the two numbers is 14.
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Please help me with this question
Answer:
Step-by-step explanation:
i have no idea
gavin painted 14 pictures last week. he painted some more pictures this week. he painted 25 pictures in all. how many pictures did gavin paint this week
Answer:
11
Step-by-step explanation:
Based on the given conditions, formulate: 25 - 14
Calculate the sum or difference: 11
get the result: 11
1) A publisher wants to determine the thickness of a book they will print soon. The book has a front cover and a back cover, each of which have a thickness of
1/4 in. The publisher can choose on what type of paper to print the book.
Bond paper has a thickness of 1/4 in. per 100 pages.
Write an equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper.
Ledger paper has a thickness of 2/5 in. per `100` pages. Write an equation that gives the width `y` of the book, if it has `x`-hundred pages printed on ledger paper.
2) If the publisher selects front and back covers with a thickness of 1/3 in. each, how would this change the equations you wrote on the previous slides?
1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x
1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x
2) The equation will be; y = ²/₃ +¹/₄x
How to solve Algebraic Word Problems?1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;
The addition of both gives to the book thickness of;
1/4 + 1/4 = 1/2 inch, despite how many pages the book has.
We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:
y = ¹/₂ + ¹/₄x
where;
y is the width of the book in inches.
x is every hundred pages printed on bond paper.
1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;
y = ¹/₂ + ²/₅x
2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;
y = 2(1/3) +¹/₄x
y = ²/₃ +¹/₄x
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The rate of change increased by about _____ bass per a year. Round to the nearest tenth
From the exponential function, the average rate of change from year 1 to year 4 is 62.43, the average rate of change from year 5 to year 8 is 67.57 and the rate of change per year is 65
What is Exponential FunctionAn exponential function is a type of function that involves a variable in an exponent. It is of the form f(x) = a⋅b^x where a and b are constants and b > 0, b ≠ 1. The input to the function, x, is the exponent that the base, b, is raised to. The output, f(x), is the result of raising the base to the exponent.
In this problem, we have to calculate the rate of increase per year.
Data;
rate = 2%
P = 3000
The exponential growth can be calculated by;
A = P(1 + r)ⁿ
In year 1
A = 3000(1 + 0.02)¹
A = 3060
In year 4
A = 3000(1 + 0.02)⁴
A = 3247.3
a)
The average rate of change from year 1 to year 4 will be
A = [3000(1 + 0.02)⁴ - 3000(1 + 0.02)¹] / 4 - 1
A = 62.43
The average rate of change from year 1 to year 4 is 62.43
b)
The average rate of change from year 5 to year 8 is calculated as
A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)⁵] / 8 - 5
A = 67.57
C)
The rate of change increase can be calculated as;
A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)¹] / 8 - 1
A =65
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Question 3
Use the quadratic formula to complete the table. To verify your solutions, graph the equations.
BIU X² X₂ 10pt
Help !!!
The linear equation in this case is . The [tex]$3 x^2+4 x+4=0$[/tex] answer is [tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex] and [tex]$3 y^2+2 x+4=0: \quad$[/tex]: quadratic [tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex] , is the solution.
What do you meant by quadratic equation ?[tex]$3 x^2+4 x+4=0 \quad: \quad x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}$[/tex]
[tex]$3 x^2+4 x+4=0$[/tex]
Apply the quadratic formula to the problem. [tex]$x_{1,2}=\frac{-4 \pm \sqrt{4^2-4 \cdot 3 \cdot 4}}{2 \cdot 3}$[/tex]
Simplify [tex]$\sqrt{4^2-4 \cdot 3 \cdot 4}: \quad 4 \sqrt{2} i$\\[/tex]
[tex]$x_{1,2}=\frac{-4 \pm 4 \sqrt{2} i}{2 \cdot 3}$[/tex]
Distinguish the answers
[tex]x_1=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}, x_2=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}\\x=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}\\x=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]
The following are the quadratic equation's solutions:
[tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]
2) [tex]$3 y^2+2 x+4=0: \quad$[/tex] A parabola with a focal length of and a vertex at (h,k)=(-2, 0) [tex]$|p|=\frac{1}{6}$[/tex]
[tex]$3 y^2+2 x+4=0$[/tex]
[tex]$4 p(x-h)=(y-k)^2$[/tex] is the common formula for a right-to-left parabola with a vertex at (h, k) and a focal length of |p|.
Rewrite [tex]$3 y^2+2 x+4=0$[/tex] using the proper form: [tex]$4\left(-\frac{1}{6}\right)(x-(-2))=(y-0)^2$[/tex]
The following are characteristics of parabolas:
[tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex]
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The function f(x)= square root of x is translated using the rule (x,y) (x-7,y+2) to create f(x)what is the domain of f(x)?
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be [7, ∞).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = √x
The function after the transformation, then we have
f(x) = √(x - 7) + 2
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be given as,
x - 7 ≥ 0
x ≥ 7
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On Saturday morning, Wendy watched one and a half hours of her favorite shows on television. During the shows there were 27 commercials. What is the unit rate of commercials per hour? 9 hours per commercial 12 commercials per hour
14 commercials per hour 18 commercials per hour
The unit rate is 18 commercials per hour.
What is Division?A division is a process of splitting a specific amount into equal parts.
On Saturday morning, Wendy watched one and a half hours of her favorite shows on television.
During the shows there were 27 commercials.
We need to find the unit rate of commercials per hour.
To find this we have to divide 27 by number of hours
27/[tex]1\frac{1}{2}[/tex]
Convert [tex]1\frac{1}{2}[/tex] to improper fraction
27/(3/2)
When whole number is divided by fraction, the denominator is multiplied with whole number
27×2/3
54/3
18
Hence, the unit rate is 18 commercials per hour.
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Answer:18 commercials per hour
Step-by-step explanation:
The following equations define a system. −2x + y = 10 x + 2y = 5 Which graph represents the system? The graph shows a line that passes through negative 5 comma 0 and 0 comma 2.5. There is a second line that passes through 0 comma 10 and 5 comma 0. The lines intersect at 3 comma 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma 10. There is a second line that passes through 0 comma 2.5 and 5 comma 0. The lines intersect at negative 3 comma 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 2.5. There is a second line that passes through 0 comma negative 10 and 5 comma 0. The lines intersect at 3 comma negative 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 10. There is a second line that passes through 0 comma negative 2.5 and 5 comma 0. The lines intersect at negative 3 comma negative 4.
The graph of the system of linear equations is attached with the answer.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the system of linear equations as given -
- 2x + y = 10
x + 2y = 5
The given system of linear equations is -
- 2x + y = 10
x + 2y = 5
Refer to the graph of the system of linear functions attached. The point (-3, 4) is the solution set of this system of equation.
Therefore, the graph of the system of linear equations is attached with the answer.
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find the volume of the cylinder. use 3.14 for π. 5ft 10ft (10 is the radius) PLS HELP :(
Answer:
157[tex]ft^{3}[/tex]
Step-by-step explanation:
Volume = the area of the base times the height.
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
a = [tex]\pi[/tex][tex](5^{2})[/tex] I am going to use 3.14 for [tex]\pi[/tex]
a = 3.14(25)
a = 15.7
Volume = 15.7 x 10 = 157
Answer:
785 ft२
Step-by-step explanation:
volume =3.13*5२*10
=3.14*25*10
=785 ft२
Solve for x in the triangle. Round your answer to the nearest tenth.
In the right triangle in the figure the value of x is solved to be 4.5
How to find the value of xUsing SOH CAH TOA for the right triangle
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
The figures show that
hypotenuse = 6
adjacent = x
given angle = 41 degrees
The value of x will be calculated using cos, CAH let the angle be y
cos y = adjacent / hypotenuse
cos 41 = x / 6
x = 6 * cos 41
x = 4.528
x = 4.5
Hence the value of x is 4.5
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Target buys a pair of shoes for 20, but they sell it to the public for 35. what is the percent of change that target marks the shoes up for
Answer:
75%
Step-by-step explanation:
To find the percent of change that Target marks the shoes up for, you need to calculate the difference between the cost of the shoes to Target and the price at which they sell it to the public, and then divide that difference by the cost of the shoes to Target. Finally, you need to multiply the result by 100 to express the answer as a percentage.
Using this formula, the percent of change that Target marks the shoes up for is:
(35 - 20) / 20 * 100 = 15 / 20 * 100 = 0.75 * 100 = 75%
This means that Target marks the shoes up by 75% of their cost.
Write an addition equation with three equal fractional parts.
15
4
=
+
+
Step-by-step explanation:
please refer to the sketch
What is the probability of picking a month at random that starts with the letter “J”
Answer:
A 1 in 4 chance or a probability of 0.25
Step-by-step explanation:
There is only 3 months that start with J and 12 months in a year so simplify 3/12 you get 1/4 or 0.25
Given that X≈2 is an approximate solution to x^2+2x-2=5, use the graph to find another approximate solution round your answer to the nearest integer. X≈ ___
The nearest integer that is a solution, gotten through graphing of the quadratic function x² + 2x - 2 = 5, is x = -4
How to find the graphical solution of the functionQuadratic equations when plotted on a graph follows a parabolic path.
To plot the functions there will be table of values that is used in making the graph. The table of values is solved as follows
x² + 2x - 2 = 5 rearranging the equation will result to x² + 2x - 7 = 0
For x = -20, y = (-20)² + 2 * -20 - 7 = 353
For x = 0, y = (0)² + 2 * 0 - 7 = -7
For x = 20, y = (20)² + 2 * 20 - 7 = 433
x y
-20 353
0 -7
20 433
The graph is plotted and attached. From the graph the solution is
x = -3.828, to the nearest integer = -4
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An item on sale costs 80% of the original price. The original price was 33%
The sale price of the item is given by the equation A = $ 26.40
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the sale price of the item be represented as A
Now , the equation will be
The original price of the item = $ 33
An item on sale costs 80% of the original price
So , the sale price of the item A = 80 % x original price of the item
Substituting the values in the equation , we get
The sale price of the item A = ( 80 / 100 ) x 33
The sale price of the item A = 0.80 x 33
The sale price of the item A = $ 26.40
Therefore , the value of A is $ 26.40
Hence , the sale price is $ 26.40
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If m∠ABJ = 28, ∠ABC ≅ ∠DBJ, find m∠JBC.
Answer:
Step-by-step explanation:
If m∠ABJ = 28 and ∠ABC ≅ ∠DBJ, then we can set up the following equation:
m∠ABC = m∠DBJ
Since angles ∠ABC and ∠DBJ are congruent, they have the same measure, so the equation above is true.
Since we are trying to find m∠JBC, we can use the fact that the measure of an angle is equal to the sum of the measures of the other two angles in the triangle to set up another equation:
m∠JBC = m∠ABC + m∠ABJ
Substituting the value for m∠ABC from the first equation into the second equation, we get:
m∠JBC = m∠DBJ + m∠ABJ
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = m∠DBJ + 28
Since m∠ABJ = m∠DBJ, we can substitute m∠ABJ in for m∠DBJ:
m∠JBC = m∠ABJ + 28
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = 28 + 28
Solving this equation, we find that m∠JBC = 56.
Therefore, the measure of angle ∠JBC is 56 degrees.
What is the domain of the function with the graph given below?
Answer:
(-∞, 1] or {x|x<=1}
Step-by-step explanation:
value of y please help me
The weight of the square is 10 grams. How much heavier is the circle than the square?
By adding the weight of the triangle, the weight of the circle heavier than that of the square.
How to determine how much heavier the circle is than the squareThe linear equation that results from examining the weights will contain the following parameters.
Let t stand for the triangle.
Let c stand for the circle.
Let's use the shape square.
left side of the equation = 6s + 3t
right side of the equation = 3s + 3c
equating both sides
6s + 3t = 3s + 3c
6s - 3s + 3t = 3s + 3c
3s + 3t = 3c
3(s + t) = 3c
dividing all through by 3
s + t = c
10 + t = c
Because of the resulting equation, we can conclude that the the circle is weightier than the square by the weight of the triangle
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PLEASE HELP!! ALGEBRA 1 HW! I WILL GIVE BRAINLYEST
Answer:
(0.5, 3)
Step-by-step explanation:
Just entered it into a desmos graphing calculator online
<
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a translation.
←++
-7-6-5-4-3/2
A translation by
up/down
7-
6+
6543
У
5-
3-
24
2345
-3-
Determine the translation.
Use non-negative numbers.
-5+
-6-
D'
A
34 9/7
B
2
units to the right/left ✓
and
units
Answer:
1 unit to the left, 3 units down
Step-by-step explanation:
Take any point: I will take D. In order to get to D', you need to travel 1 unit along the x-axis towards the left, then 3 until along the y-axis downwards. The same applies for any other point.
A train traveled 250 mi in 2 hours. If it traveled at the same rate of speed how long would it take the train to travel 600 mi
4.8
Divide 250 by 2 which is 125 then do 600 divided by 125. Then your answer should be 4.8.
Will mark brainliest (I also need to find the x and y intercepts)
PLEASE HELP ME 2 QUESTIONS ARE LISTED DOWN BELOW
A) The linear equation is:
y = (3/4)*x + 3
B) The sets with only positive elements are:
{x| x ∈ N}{y| 0 < y < 1}{y| 3 ≤ y ≤22}How to write the linear equation?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here, we do know that the y-intercept of the linear equation is (0, 3), then we know that b = 3.
Then the line is something like:
y = a*x + 3
We also know that the line passes through (-4, 0), then we can replace these values in the equation above to get:
0 = a*-4 + 3
4a = 3
a = 3/4
Then the linear equation is:
y = (3/4)*x + 3
In which sets all the numbers are positive?The sets where all the numbers are positive are:
{x| x ∈ N}
Where N is the set of the natural numbers, these are all the integers equal to or larger than 1, so all are positives.
{y| 0 < y < 1}
There we can see that y must be larger than zero, so all the elements are positive.
{y| 3 ≤ y ≤22}
Here the elements are between 3 and 22, so all of these are positve.
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You buy 8.25 ounces of almonds and 7.5 ounces of cashews. You combine the nuts and divide them equally into 9 bags. How many ounces are in
Options are below
⬇️
1.75 ounces
9.5 ounces
15.5 ounces
17.5 ounces
PLS FOR 18 POINTS
Pls help! Step by step
Answer:
x = 55
Step-by-step explanation:
Since the sides of the shape are parallel, AngleC and AngleD will add up to 180° (see "parallel lines cut by a transversal" or maybe you have learned a big pile of parallelogram theorems)
Use this relationship to set up an equation.
2x + 20 + 50 = 180
combine like terms
2x + 70 = 180
subtract 70
2x = 110
divide by 2
x = 110/2
x = 55
x is 55
Answer:
The value of x is 55°
Step-by-step explanation:
GivienTwo adjacent angles of a parallelogram are (2x + 20)° and 50° respectivelySince we know that opposite angles of a parallelogram are equal
m∠C = m∠B = (2x + 20)°m∠D = m∠A = 50°The sum of any two adjacent angles is supplementary. This means, ∠A + ∠B = 180°, ∠B + ∠C = 180°, ∠C + ∠D = 180°, and ∠D + ∠A = 180.
So,
∠C + ∠D = 180°
(2x + 20)° + 50° = 180°
2x + 70° = 180°
2x + 70° - 70° = 180° - 70°
2x = 110°
2x/2 = 110°
x = 55°
Thus, The value of x is 55°
Locating Fractions on a Number Line
A B
Hot
-2
-1
Intro
C
D
+++++
0 1 2
Use the drop-down menus to label the points on the
number line.
Point A is at
Point B is at
Point C is at
Point D is at
<
Done
On solving the provided question we cans ay that - order when writing it on the number line: = -1.25, -0.75, 0.25, 1.5, 2
what is number line?A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.
The numbers on the number line must be
[tex]6/3 = 2\\-3/4 = -0.75\\1.5 = 1.5\\0.25 = 0.25\\-5.4 = -1.25\\[/tex]
In ascending order, t
[tex]-1.25 = -5/4\\-0.75 = -3/4\\0.25\\1.5\\2 = 6/3[/tex]
order when writing it on the number line:
-1.25, -0.75, 0.25, 1.5, 2
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Select the correct answer. What is this equation rewritten in exponential form? log7 343 = 3 A. 37 = 343 B. 73 = 343 C. 343x = 7 D. 343x = 3
The solution to the equation log₇343 = 3 is 7³ = 343
What is an equation?An equation is used to show the relationship between numbers and variables.
The logarithm can be defined as the exponent that raises a base to get a particular number. The law of logarithm states:
logₓm = n is the same as xⁿ = m
Given the equation:
log₇343 = 3
Applying the law of logarithm gives:
7³ = 343
The solution to the equation is 7³ = 343
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Please screenshot and write the answer on the photo.
1] Answer: y = -[tex]\frac{1}{2}[/tex]x + 3
Step-by-step explanation:
➜ This line is going down from the top left to the bottom right, so it will have a negative slope.
➜ Using rise over run, we get a slope of -2/4. This simplifies to -1/2.
➜ The line intercepts the y-axis at 3.
2] Answer: y = 3x
Step-by-step explanation:
➜ This line is going down from the bottom left to the top right, so it will have a positive slope.
➜ Using rise over run, we get a slope of 3/1. This simplifies to 3.
➜ The line intercepts the y-axis at 0.
3] Answer: y = x - 4
Step-by-step explanation:
➜ This line is going down from the top left to the bottom right, so it will have a negative slope.
➜ Using rise over run, we get a slope of 2/2. This simplifies to 1.
➜ The line intercepts the y-axis at -4.