Answer:
54 as a percentage of 216% is 116.64.
Step-by-step explanation:
100% of 54 is 54 so 54 x 2 would be 108. We have solved 200% of it now for the 16%. The percentage of 54 of 16% would be 8.64. Now add up all we have learned.
108 + 8.64 = 116.64
What is the slope of the line that passes through the points (-4,5) and (-7,8) ? write your answr in the simplest form
x + 4y= 15
2x-y=-15
Solve for X and Y
Step-by-step explanation:
work is shown and pictured
Reasoning true or false: if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution. explain your reasoning.
False, if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution.
A square matrix with a row of zeroes means that one variable can be written as a linear combination of the other variables.What does the term "echelon form" mean?
If a matrix in linear algebra has the shape that comes from a Gaussian elimination, it is said to be in echelon form. When a matrix is in row echelon form, Gaussian elimination has been applied to the rows, and when it is in column echelon form, Gaussian elimination has been applied to the columns.What purpose does echelon matrix serve?
By reducing a complex matrix to a simple matrix, the Echelon Form of a matrix can be utilized to solve a linear equation. If a matrix meets certain criteria, which we'll go over in this post, it is said to be in an echelon form.Learn more about echelon form
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(3x-5)/4 is less than or equal to -1
How to solve for x?
Step-by-step explanation:
[tex] \frac{3x - 5}{4} \leq1[/tex]
[tex]3x - 5 \leq1 .4[/tex]
[tex]3x - 5 \leq4[/tex]
[tex]3x \leq4 + 5[/tex]
[tex]3x \leq9[/tex]
[tex]x \leq \frac{9}{3} [/tex]
[tex]x \leq3[/tex]
x = {3,2,1,0,...}
∠A and angle B∠B are complementary angles. If m angle A=(x+13)m∠A=(x+13)
and m angle B=(7x+13)^∠B=(7x+13) then find the measure of angle B∠B
The value of angle B is 69°.
How to calculate the angle?It should be noted that the sum of a complementary angle is 90°.
Therefore, the value will be:
x + 13 + 7x + 13 = 90
8x + 26 = 90
Collect like terms
6
8x = 90 - 26
8x = 64
Divide
x = 64/8
x = 8
Angle B = 7x + 13
= 7(8) + 13
= 56 + 13
= 69
Angle B is 69°.
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Express this number in scientific notation.
621,000
621,000=
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Answer:
6.21 × 10⁵
Step-by-step explanation:
move thee decimal from .21000 thats how you get 5
guys please help me i need your help nonsense report with solution please
Answer:
2.1/5
3.7/5
4.7/20
Step-by-step explanation:
2.1/5
3.7/5
4.7/20
Greetings from Brasil...
A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators
B - fraction addition/subtraction with different denominators = we have to use LCM
2)
(10/15) - (7/15) - case A
(10 - 7)/15 = 3/15
3)
(8/10) + (3/5) - we can simplify the first fraction
(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5
4)
(3/4) - (2/5) - case B
LCM 4 and 5 = 20
(3/4) - (2/5) = 7/20
Which one is correct
All rhombus are parallelograms, parallelogram have exactly two pairs of parallel lines, therefore all rhombus have exactly two pairs of parallel lines, so option A is correct.
What is parallelogram?
A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. Every rhombus is a parallelogram because its opposite sides are all parallel. But all parallelograms cannot be rhombus as a rhombus have all sides equal.
Both a square and a rhombus have equal numbers of sides. The square's diagonals are also perpendicular to one another and divide the opposing angles. A square is a rhombus as a result.
Thus, all rhombus are parallelograms as they have one pair of parallel sides.
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6. You just had surgery on your knee. As part of rehabilitation your physical
therapist wants you to walk 1 minute on day 1 and double your time every day. How
many minutes will you be walking on day 7?
64 minutes
Step-by-step explanation:
1x2=2 it day one
2x2=4 it day two
and more
32x2=64 it day 7
8+
49
6-
5
Based on the graph above, estimate (to one decimal place) the average rate of change from x = 1 to
x = 5.
The Average Rate of change of a function f on the interval [a , b] is given by
[tex]r=\frac{f(b) - f(a)}{b-a}[/tex]
Now, the given interval is [1, 5]
⇒ b=5 and a = 1
Since, the graph passes through (1, 3) and (5, 5)
⇒ f(1) = 3 and f(5) = 5
Thus,
[tex]r=\frac{f(5) - f(1)}{5-1}[/tex]
[tex]r=\frac{5- 3}{4}[/tex]
[tex]r=\frac{2}{4}[/tex]
[tex]r=\frac{1}{2}[/tex]
[tex]r=0.5[/tex]
∴ The Average Rate of change of the graph is equal to 0.5
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Please help me! I am so confused
Theoretical probability is what might happen, but the experimental probability is definitely happens in trials. The probability in these cases is 0.25.
What is the difference between theoretical and experimental probability?Theoretical probability is based on the total outcomes vs the desired outcomes; due to this, this is just the expectation of what will hapen. However, as this is mainly based on expectations, it is not completely accurate.
On the other hand, the experimental probability is based on the observation of reality as the probability is tested, which makes it more accurate.
What are the probabilites in the cases presented?Desired outcomes /total outcomes
Probability of getting red in the spinner:
4/10 0.25 or 25%Probability of getting a 4 in a dice
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For which value of a does 4 = a +| x – 4| have no solution?
-6
0
4
6
Answer:
a = 6
Step-by-step explanation:
Hello!
First, let's isolate the Absolute Value bracket.
4 = a + |x - 4|4 - a = |x - 4|Based on the definition of Absolute value, the outcome should always be a positive number. Therefore, if the product, 4 - a, is a negative number, it will have no solutions.
That means a has to be greater than 4 for it to be negative. a should be 6.
a = 6
*PLS HELPPP*
Yolanda is buying supplies for school. She buys n packages of pencils at $1.10 per package and m pads
of paper at $1.70 each. What does each term in the expression 1.1n +1.7m represent? What does the
entire expression represent?
The term 1.1n represents the (select)
The term 1.7m represents the (select)
The expression represents the (select)
Answer:
1.1n represents the cost of the pencils
1.7m is the cost of the pads of paper
The expression represents that she bought a package of pencils and a pad of paper
Step-by-step explanation:
Two printing presses, working together, can complete a job in 2 hours. If one press
requires 6 hours to do the job alone, how many hours would the second press need to
complete the job alone?
The number of hours needed for the second press to complete the job is 3 hours.
What is an equation?An equation represents the relationship of two expressions on either side of the sign
Given that together they can complete a job in 2 hours and one takes 6 hours to complete the work alone.
If we let x = amount of time required for the second press to complete the job alone
We can write as:
Second press work = 1/x of the job per hour.
First press work = 1/6 of the job per hour.
Together work = 1/2 of the job per hour.
We can write the equation as:
1/6 + 1/x = 1/2
1/x = 1/2 - 1/6
1/x = (3 - 1)/6
1/x = 2/6
1/x = 1/3
x = 3
Thus number of hours needed for the second press to complete the job is 3 hours.
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Multiply:
-2x(3x - 4)
Enter the correct answer
Answer:
- 6x² + 8x
Step-by-step explanation:
- 2x(3x - 4) ← multiply each term in the parenthesis by - 2x
= - 6x² + 8x
A is the midpoint of segment ST. Point A is located at (7,-1) and point S is located at (5,0). What are the coordinates of point T?
The coordinates of point T is (9,-2)
Given that A is the midpoint of segment ST. midpoint A has coordinates (7,-1) and point S has coordinates ( 5,0 ) and asked to find the coordinates of the point T
Let's assume the coordinates of the point T as(a,b)
Midpoint formula for a line segment having endpoints (x1,y1) and (x2,y2)
Let's assume the midpoint as (X,Y)
(X,Y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])
Here the endpoints of the linesegment ST are S(5,0) and T(a,b) and the midpoint of the linesegment ST is A and has coordinates (7,-1).
⇒(7,-1)=([tex]\frac{5+a}{2}[/tex],[tex]\frac{b}{2}[/tex])
⇒7=[tex]\frac{5+a}{2}[/tex]⇒14=5+a⇒a=9
⇒-1=[tex]\frac{b}{2}[/tex]⇒b=-2
Therefore,The coordinates of point T is (9,-2)
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evaluate the expression
Answer: 3
Step-by-step explanation:
3 * 3 * 3 = 27
Answer:
3
Step-by-step explanation:
The expression is cube root.
The root function essentially wants to find a number that when multipled n times will give the input to the function.
In this case n = 3
We need a number when multiplied by itself 3 times will give us 27.
In other words we need [tex]x^{3}[/tex] = 27
If u rearrange u simply get the expression given and u can solve simply by way of calculator.
Of the students at Milton Middle School, 143 are girls. If 55% of the students are girls, how many total students are there at Milton Middle school?
A.
260
B.
325
C.
195
D.
130
What is the area of this tile?
6 in.
8in.
Answer:that would be 24
Step-by-step explanation: A triangle is a three side shape so after you multiply 6 and 8 thats 48 but then you multiply by 1/2 which is the same as dividing by 2 so (48/2)=24 and thats your answer hope this helps
Write an algebraic expression to represent how much money Max has saved.
Max is saving to buy a car. He already has $700 saved. He will continue to earn money by cutting lawns; he earns $15 for each lawn. Let x represent the number of lawns Max cuts.
Answer: x=700+15
Step-by-step explanation: an educated guess
Answer:
y = 15x + 700
Explanation:
In this sentence said Max already has $700 which means it should be constant value in the equation. Max earns $15 for each lawn he cuts.
Linear equation:
y = mx + bwhere 'm' is rate of change, 'b' is constant value
So, the equation should be (for total money Max saved):
y = 15x + 700where y represents total money Max saved and x = number of lawns cut.
The length of a rectangle is three more than double the width. if the perimeter is 78 inches, find the dimensions.
The length of a rectangle is 27 inches and the width of a rectangle is 12 inches.
Given that, the length of a rectangle is three more than double the width and the perimeter of a rectangle = 78 inches.
We need to find the dimensions of the rectangle.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangle be x.
Then, length=2x+3
Now, perimeter=2(2x+3+x)
⇒ 78=2(3x+3)
⇒ 3x+3= 39
⇒ 3x=36
⇒ x=12 inches
So, width=12 inches and length=2x+3=27 inches
Therefore, the length of a rectangle is 27 inches and the width of a rectangle is 12 inches.
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in a class of 30 children
60% of the students are girls.how
Answer:
There will be 18 boys.
Step-by-step explanation:
im assuming you are looking for how many boys are left,I did 60% by 30 = 18
Answer:
there are 18 girls
Step-by-step explanation:
one really cool trick is the total like 30 x 0.60 this will give you the percentage
Chose the step below that correctly uses the distributive property to begin solving the equation: 2(x + 1) + 4 = 8 O 2x+5=8 Ox+1+2 = 4 O 2x + 2 + 4 = 8 O 2x + 1 + 4 = 8
2(x+1)+4
Distributive property : According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
solve equation by using distributive property we should use laws of this property that are as follows:
Expand the equation. Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms.
2(x + 1) + 4 = 8
2(x)+2(1)+4=8
2x+2+4=8
2x+6=8
2x=8-6
2x=2
x=2/2
x=1
so final conclusion is Option A 2(x+1)+4=8 is the right answer
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Graph y=0.2x use the graph to find the value of x when y=-2,0,2
By graphing the equation y = 0.2x, we find that x is equal to -10 when y is -2, x is equal to 0 when y is 0, and x is equal to 10 when y is 2.
To graph the equation y = 0.2x, we can plot a few points and then connect them to create the line.
Let's calculate the corresponding values of x when y takes on the values of -2, 0, and 2:
When y = -2:
-2 = 0.2x
x = -2 / 0.2
x = -10
When y = 0:
0 = 0.2x
x = 0 / 0.2
x = 0
When y = 2:
2 = 0.2x
x = 2 / 0.2
x = 10
Using these values, we can plot the points (-10, -2), (0, 0), and (10, 2) on the coordinate plane. Drawing a line passing through these points, we obtain the graph of the equation y = 0.2x.
The graph will be a straight line that passes through the points (-10, -2), (0, 0), and (10, 2). The line will have a positive slope, indicating that as x increases, y increases at a slower rate.
The graph visually represents the relationship between x and y according to the equation y = 0.2x. It shows that for every increase of 1 unit in x, y increases by 0.2 units.
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6. The value of a car is gradually declining in such a way that at the end of each year it is worth in January 2002 6 of its value at the beginning .it was worth 36000,000 in January 2000. What was its worth in January 2002?
Answer:
the value of a car is gradually declining in such a way that at the end
Step-by-step explanation:
I don't know what to say
Evaluate
4(x+3)(x+1)
(x+5)(x-5)
for x = 3.
Answer: -1536
Step-by-step explanation:
1: 4(3+3) (3+1) (3+5) (3-5)
2: 4(6) (4) (8) (-2)
3: 24 (4) (8) (-2)
4: 96 (8) (-2)
5: 768 (-2)
= -1536
Write an expression to represent the product of -3 and the square of a number decreased by 8
Answer:
-3 X (x^2 - 8)
Step-by-step explanation:
put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.
anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".
greg is 5yr. older than randy, who is 3yr. older than Wilson. the sum of their ages is 32. how old is greg
The ages of Wilson, Randy and Greg given their total ages is 7, 10 and 15 years respectively.
This means that the total ages of Wilson, Randy and Greg is 7 years, 10 years and 15 years.
AlgebraLet's represent the information above as follows:
Wilson's age = xRandy's age = (x + 3)Greg = (x + 3) + 5Total ages = 32The total ages = Wilson + Randy + Greg
That is, Wilson's age, Randy's age and Greg's ages is given as:
32 = x + (x + 3) + (x + 3) + 5
32 = x + x + 3 + x + 3 + 5
32 = 3x + 11
32 - 11 = 3x
21 = 3x
x = 21/3
x = 7 years
Therefore, from the calculations above,
Wilson's age = x
= 7 years
Randy's age = (x + 3)
= 7 + 3
= 10 years
Greg = (x + 3) + 5
= (10) + 5
= 15 years
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TASK 2-Percentages (34 Marks)
Topic: Finding Percentages
1. Suppose you have a grandmother who gives you one cent on your first birthday. The
next year she gives you 3 cents, the following year 9 cents. Each year she triples the
amount she gave the year before until you are 13.
How much money would you have on your 12 birthday? you would have
$154
72
(a) Complete the table below (BMarks)
Birthday
1
2
3
4
5
6
7
8
9
10
11
12
13
Total
Money
1c
3c
9c
27c
81c
$2.43
34 86
39 72
$19 34
338 68
377 36
$154 72
Percentage
3309-44
$309 44
(b) What percentage is the amount of money on your 12th birthday to the total money
given by your grandmother. Your percentage need to be corrected to two decimal
places. You need to show all the steps for your percentage calculation.
Answer:
1; 1
2:3
3:9
4:27
5:81
6:243
7:729
8:2,187
9:6,561
10:19,683
11:59,049
12:177,147
Help please for algebra
in slope intercept form:
y=mx+b.
slope of line:
-3/4
y intercept:
(0, 5/2)