To solve an equation involving a fraction, to get rid of the fraction, multiply both sides of the equation by the reciprocal of the fraction.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
To solve an equation involving a fraction, to get rid of the fraction, multiply both sides of the equation by the reciprocal of the fraction. For example:
(a/b)x = 1
(a/b)x * (b/a) = 1 * (b/a)
x = b/a
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The science club is planning a field trip to a museum. Each student will pay $10 for admission and an equal share of the $200 transportation cost. The total cost per student is given by the expression LaTeX: C=\frac{200}{S}+10C = 200 S + 10, where LaTeX: SS is the number of students that went on the field trip. What does the term LaTeX: \frac{200}{S}200 S in the expression represent?
Answer: [tex]\dfrac{200}{S}[/tex] represents the transport cost per student in the expression.
Step-by-step explanation:
Given: For trip,
Admission fee per student = $10
Transport cost (for all students0 = $200
Here, S represents the number of students went on the field trip.
Transport cost per student = (Total cost) ÷ Total student
So, [tex]\dfrac{200}{S}[/tex] represents the transport cost per student.
Hence, [tex]\dfrac{200}{S}[/tex] represents the transport cost per student in the expression.
WEDDING There were a total of 180
guests at a wedding. Of those guests,
37 ordered fish and 60 ordered
chicken. If the remainder of the
guests ordered steak, how many
ordered steak?
75°
(2x + 1)°
HELP HAHA
Answer:
Simplifying
75 = 2x + -1
Reorder the terms:
75 = -1 + 2x
Solving
75 = -1 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
75 + -2x = -1 + 2x + -2x
Combine like terms: 2x + -2x = 0
75 + -2x = -1 + 0
75 + -2x = -1
Add '-75' to each side of the equation.
75 + -75 + -2x = -1 + -75
Combine like terms: 75 + -75 = 0
0 + -2x = -1 + -75
-2x = -1 + -75
Combine like terms: -1 + -75 = -76
-2x = -76
Divide each side by '-2'.
x = 38
Simplifying
x = 38
Step-by-step explanation:
A mother shared a sum of money amongst his three sons Jorge, Luis and Robert in the ratio of 3:5:4 respectively. If Robert received $320. How much was the total money shared?
she cut the sum in (3+5+4) in 12 parts
J had 3/12 of the sum S
L had 5/12 of the sum S
and R had 4/12 of the sum S
4/12 x S = 320
S = 320 x 12/4
S = 960
$960 shared
Help Help :(:(:(:(:(:(
Answer:
Kuroo Here!
Step-by-step explanation:
What do you need help with?
Need help please fast
As we know that perimeter of a shape is the sum of all it's boundaries. Also , let assume that the missing side be y . So ,here ;
[tex]{:\implies \quad \sf (4x-4)+(3x+1)+y=13x-8}[/tex]
[tex]{:\implies \quad \sf 4x-4+3x+1+y=13x-8}[/tex]
[tex]{:\implies \quad \sf y+7x-3=13x-8}[/tex]
[tex]{:\implies \quad \sf y=13x-8-7x+3}[/tex]
Collecting like terms :
[tex]{:\implies \quad \sf y=(13x-7x)+(-8+3)}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{y=6x-5}}}[/tex]
Hence , the length of Missing side is 6x-5
st
2. Find the surface area of the sphere below.
.
3.1 m
-
Answer:
120.7016
Step-by-step explanation:
surface area of sphere=4πr²
solution
=4*3.14*3.1*3.1
=120.7016
Which matrix can be multiplied to the left of a vector matrix to get a new vector matrix? A. B. C. D.
Answer:
i think the answer will gonna be C.
Answer:
C plato
Step-by-step explanation:
If WX≅WZ and m∠WYX=48°, what is m∠WYZ?
Answer:
48 degrees
Step-by-step explanation:
Since triangles WZY and WXY are congruent by HL, angles WYZ and WYX are congruent by CPCTC.
A truck costs $80,000. It depreciates in value $6,000 per year. Write a linear model in the form v(t)=mt + b where v(t) represents the current value of the truck after t years of ownership.
The required expression is v(t) = 80,000 - $6000t
Cost of the truck = $80,000
Depreciation rate = $6000/year
What is cost price?
Cost price is that price for buyer which he pays to seller for an object or product.
Required expression-
m = $6000
t = time in years
b = original price
v(t) = mt + b
v(t) = -$6000t + $80000
negative sign for depreciation
Thus, the required expression is v(t) = 80,000 - $6000t
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I need help figuring this out and how to do it
Answer:
5) y=2x^2+16x+32
Step-by-step explanation:
So the following equations on your paper are in vertex form. We want to turn these into standard form.
Remember, standard form is ax^2+bx+c and vertex form is y=a(x-h)^2+k
Lets expand our first problem, y=2(x+4)^2
y=2(x+4)(x+4)
y=2(x^2+8x+16)
y=2x^2+16x+32
Our answer for question 5 is y=2x^2+16x+32
If you need help with the other questions just add a comment.
Answer:
#5
y = 2(x + 4)^2 y = 2((x + 4)(x + 4))y = 2(x(x + 4) + 4(x + 4))y = 2(x^2 + 4x + 4x + 16) y = 2(x^2 + 8x + 16) y = 2x^2 + 16x + 32#6
y = -2(x + 2)^2 y = -2((x + 2)(x + 2)) y = -2(x(x + 2) + 2(x + 2)) y = -2(x^2 + 2x + 2x + 4) y = -2(x^2 + 4x + 4) y = -2x^2 - 8x - 8#7
y = -(x + 7)^2 y = -((x + 7)(x + 7)) y = -(x(x + 7) + 7(x + 7))y = -(x^2 + 7x + 7x + 49) y = -(x^2 + 14x + 49) y = -x^2 - 14x - 49#8
y = (x - 5)^2 + 9 y = (x - 5)(x - 5) + 9 y = x(x - 5) + (-5)(x - 5) + 9 y = x^2 - 5x - 5x + 25 + 9 y = x^2 - 10x + 25 + 9 y = x^2 - 10x + 36_______fraction of rupee one is 25 paise
Answer:
The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).
Step-by-step explanation:
The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).
Can anyone solve this correctly?
Answer:
21.06 square feet
is the mean of 2 3 4 6 x and 8 is 5 find the value of x
Step-by-step explanation:
The mean is the total sum of the numbers all over the amount of numbers in the question.
Mean=(2+3+4+6+x+8)÷6
NB: 6 is the number of figures available in the question
If Mean =5
5=(23+x)÷6
Multiply both side by 6
5 x 6 = 23 + x
30 = 23 + x
30 - 23 = x
7 = x
Answer:
7
Step-by-step explanation:
We can start by counting the number of values we have, which would be 6 if we count the x. Now multiply 5 by 6 and we get 30. Now we know that 2+3+4+6+x+8 is 30 and so we can subtract all the values, giving us x=7. If we substitute it back in, we get 2+8 which is 10, 4+6 which is also 10, and 7+3 which is 10 again. 10+10+10=30 and now divide 30 by 6 and we get 5; the mean. Hope this helps!
what the algebraic rule for a dilation with a scale factor of 3
Step-by-step explanation & answer:
When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.
For example, if the scale factor is "k", the algebraic representation of the dilation is
(x, y) → (kx, ky)
For enlargements, k > 1 and for reductions, k < 1.
Hope this is what you needed:)
The after the dilation by scale factor of 3, coordinates the point P(x, y) will become P'(3x, 3y).
What is Dilation?
A dilation is an enlargement or reduction of a figure about a center of dilation by a specified scale factor [k].
Given is a algebraic rule for a dilation with a scale factor of 3.
Suppose that we have a point P(x, y) which is dilated by the
scale factor of 3. Now, after dilation of the coordinate, the final coordinates of that point P(x, y) will become P'(3x, 3y). If the scale factor would have been less than one the point will contract.
Therefore, the after the dilation by scale factor of 3, coordinates the point P(x, y) will become P'(3x, 3y).
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Wesley always estimates his grocery store total as he shops. while at silver street groceries this morning, he estimated his total purchase would be $50, but it was actually $46.10. what is the percent error for his estimate?
if necessary, round your answer to the nearest tenth of a percent.
Answer:
The answer is 8.5
Step-by-step explanation:
50-46.10=3.9
you then divide 3.9 by 46.10 and you get 0.0845...
so you estimate and get your answer
The percent error in Wesley's estimate is 8.5% if the estimated total purchase is $50 and the actual total purchase is $46.10.
What is Percentage?Percentage is a form of writing numbers as part of 100. The symbol used to denote percentage is '%'.
Percentage of a number can be calculated by dividing the number with the whole and then multiplying with 100.
Percentage is a dimensionless number because it has no measurement units.
The percent error can be calculated by the formula,
Percent error = [(Estimated value - Actual value)/ actual value] × 100
Estimated total purchase of groceries by Wesley = $50
Actual total purchase made by Wesley = $46.10
Percent error = [(50 - 46.10) / 46.10] × 100
= (3.9 / 46.10) × 100
= 0.0846 × 100
= 8.46%
≈ 8.5%
Hence the percent error for the estimation of total purchase of groceries by Wesley is 8.5%.
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Find the common difference of the arithmetic sequence.
4, 10, 16, 22, . . .
Answer:
The answer is 6
Step-by-step explanation:
This is due to the nth term sequence going up by 6
Holly opened a savings account at a local bank. She deposited $2,500.00 into the account 5 years ago. If the account earns an annual simple interest rate of 7.1%, how much interest has she earned?
A.
$710.00
B.
$887.50
C.
$762.50
D.
$177.50
Answer:
The correct answer is B $887.5
Answer:
B.
887.50
Step-by-step explanation:
[tex]si = p \times r \times t \div 100[/tex]
[tex]si \: = 2500 \times 7.1 \times 5\div 100[/tex]
[tex]25 \times 7.1 \times 5[/tex]
[tex] = 887.50[/tex]
HELP ASAP LOOK AT PICTURE
Answer:
A XD (um i dont know what else to put sof frpijfpoemd-eod)
Approximately 9% of men have a type of color blindness that prevents them from distinguishing between red and green. suppose that 8 men are selected at random. what is the probability that at least one of them will have this type of red-green color blindness
A teacher has a bag of 100 unit cubes. She gives an equal number of cubes to each of the 7 groups in her class. She gives each group as many unit cubes as she can. How many unit cubes are left over?
Answer: There’s 2 cubes left
Step-by-step explanation:
100 divided by 7 is 14 . 7 • 14 = 98100-2 , She is left w a remaining of 2 unit cubes . Meanwhile each table receives 14 marbles each .
A line is represented by the equation y = 3x - 7. Which of the following statements about the line is TRUE?
A. The y-intercept is 7.
B. The "rise over run" is equivalent to
1/3
.
C. The point (1, 4) lies on the line.
D. The line has a positive slope
Answer: The "rise over run" is equivalent to 1/3
Step-by-step explanation:
Since the m variable in the equation is 3, the line is going to be wider, there for it will go up 1 and 3 to the right with each point on the line, therefore the answer is B.
The requried slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.
What is the equation?The equation is the relationship between variables and represented as y = ax + b.
Here,
A.
The y-intercept is -7.
The equation y = 3x - 7 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Therefore, the y-intercept of this line is -7, not 7, as given in option A.
B.
The "rise over run" is equivalent to 3. Option B is not correct.
C.
point (1, 4) lies on the line.
To check whether the point (1, 4) lies on the line, we can substitute x = 1 and y = 4 into the equation y = 3x - 7 and see if the equation is true:
y = 3x - 7
4 = 3(1) - 7
4 = -4
Since the equation is not true, the point (1, 4) does not lie on the line, and option C is false.
D.
The line has a positive slope.
As we determined earlier, the slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.
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Work out the size of angle x.
х
65°
45 °
Answer:
Step-by-step explanation:
(im presuming this is a triangle)
65 + 45 = 110°
angles in a triangle add up to 180°
180 - 110 = 70°
x = 70°
Graph the inequality: 2x+y>4
Step-by-step explanation:
Took the test! Good luck
sure thing but first start off by creating the function that we want to plot but isolating y.
y>-2x+4
Technically we are graphing the line of equation y=-2x+4 and finding the values where y>-2x+4
Now using the original equation;
2x+y>4
let's take the origin (0,0) as our reference.
substitute the values in the equation
2(0)+0>4
0>4
False, then this part of the graph is rejected and we want to take the other side :P
Discuss the steps that you used to create your tangent line in #1. What was the most important step? Your discussion should be a minimum of three sentences
To create a tangent line, 1st we need to know the points at which the tangent is to be located, then calculate the slope and finally with the help of these points and slope we can construct the equation of tangent line.
We need to take the following steps in order to build a tangent line:
We start by locating the curve point to which we want to locate the tangent line. Say, these points are [tex]x_1[/tex] and [tex]y_1[/tex]The slope (m) of the curve at that point is then determined by taking the function's derivative. The slope displays the function's rate of change at that precise location. The equation of the tangent line is then created by entering the coordinates of the point and the slope using the line's point-slope form. This equation is as follows: [tex]y - y_1 = m (x - x_1)[/tex]Hence, the above three steps are crucial to create a tangent line.
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HELPPP FOR FOR BRIANLEST!!!!
Using the pythagorean theorem, we have :
[tex]4^{2} + x^{2} = 8.5^{2}[/tex]
[tex]x^{2} = 72.25 - 16 = 56.25 \\x = \sqrt{56.25} = 7.5[/tex]
-x + 3 = 7
X=-4
X= 7
X= 4
X = -7
Answer:
x = -4
Step-by-step explanation:
Step 1: Write equation
-x + 3 = 7
Step 2: Solve for x
Subtract 3 on both sides: -x = 4Divide both sides by -1: x = -4Step 3: Check
Plug in x to verify it's a solution.
-(-4) + 3 = 7
4 + 3 = 7
7 = 7
Brittany uses a stopwatch to time how long it takes each day for her school bus to travel from her house to school. She finds that the times are distributed normally, with a mean of 21 minutes and a standard deviation of 2 minutes. If there are 180 school days each year, approximately how many times in Brittany's four years of high school will the school bus take more than 27 minutes to travel from Brittany's house to school? A. 18 B. 36 C. 1 D. 4
Answer:
C
Step-by-step explanation:
We start by calculating the z-score of 27 minutes
Mathematically z-score = (x-mean)/SD
FROM the question, mean = 21 and SD = 2
so z-score = (27-21)/2 = 6/2 = 3
The probability we want to calculate is P(z > 3)
we proceed to the standard normal distribution table to get this
P(z > 3) = 0.0013499
Now seeing this, we want to calculate the number of days.
Since there are 180 days in a year and we have 4 years, the total number of days = 180 * 4 = 720 days
The number of days in which the school bus took more than 27 minutes will be ;
720 * 0.0013499 = 0.971928 which is approximately 1
Answer:
C.1
Step-by-step explanation:
On edmentum this is correct.
0.5(x4 − 9) + 17 PLS IN 3 MINS
Answer:
2x+12.5
Step-by-step explanation:
0.5(x4-9) +17
=0.5(4x-9)+12
=2x-4.5+17
=2x+12.5
Maria has already written 2/5 of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute, which expression shows the amount of time it will take her to write the rest of the essay? please i just want to know how to get 3/5
Answer:
167 minutes
Step-by-step explanation:
i took the test this was right
hope this helps!
Answer:
I think the answer would be 1000 x 2 Over 5 divided by 13 Over 2
Step-by-step explanation:
Sorry if I'm wrong I'm in the test