well, 61.53 is really 10 + 10 + 10 + 10 + 10 + 10 + 1.53.
well, 1.53 doesn't really come nowhere near close to round up to 10, so it boils down to 0, so 61.53 will just be 10 + 10 + 10 + 10 + 10 + 10 + 0 or just 60 once rounded up, now, what's 15% of 60?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 60}}{\left( \cfrac{15}{100} \right)60}\implies 9[/tex]
well, we can get the 15% of 61.53 by just (15/100) * 61.53
however, the exercise is asking on rounding it up to "tens" first
61.53 has "10" six times plus 1.53, the rounding happens with the "surplus"
in this case the surplus is 1.53.
now, for rounding anything the tipover point is at the half, for $10 the half is $5, so if the amount is $5 or more, rounds up to $10, if less than that goes to 0.
1.53 is nowhere near 5, which is the halfpoint or tipover point, because of that, it rounds up to 0, so 61.53 rounded up to "tens" only will be "six tens" only, or 60.
Use the "Insert Line" Tool to construct the line
showing the given distance. If you need to extend
the line outside the shape, use a dotted line.
The distance from B to AC can be constructed as
The distance from G to EF can be constructed as
The distance from Q to SR can be constructed as
What is the distance of a line from a point?
A point-to-line distance is the shortest distance from a point to any point on an infinite line. This is the perpendicular distance from the point to the line and the length of the line segment connecting the point to the nearest point on the line.
For the first figure,
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Let's find
11
6
- Im
First, write the addition so the fractions have denominator 6.
Then add.
1 1
6
1
3 6
0 0
6
The required addition of the given fraction is given as 7/6.
Given that, a mixed fraction is given 1 1 /6 we have to determine the simplified fraction.
Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Given fraction = 1 1 /6
This fraction is written as 1 + 1/6
Simplifying the fraction by multiplying the one with 6 and adding the product to the 1 in the numerator,
= [1×6 + 1]/6
= 7/6
Thus, the required addition of the given fraction is given as 7/6.
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Make x the subject of y = 3x-2
You may use the flowchart to help you if you wish.
x 3
- 2
Answer:
x=y/3 + 2/3
Step-by-step explanation:
Is this what you wanted?
Please help me with this.
Step-by-step explanation:
they are parabolas.
their line of symmetry is exactly in the middle between their x-intercepts (when y = 0).
these x-intercepts we get from the factors : y can only be 0, when at least one of the factors is 0.
y = (x + 14)(x + 16)
means y = 0, when x = -14 or x = -16.
so, the line of symmetry is
x = -15
y = (x - 12)(x - 18)
y = 0, when x = 12 or x = 18
line of symmetry is
x = 15
y = (x + 13)(x - 17)
x = -13 or x = 17
line of symmetry
x = 2 (again, the middle between -13 and +17)
y = (x - 10)(x + 20)
x = 10 or x = -20
line of symmetry
x = -5
The function f(t)=9300(0.994)t represents the change in a quantity over t minutes. What does the constant 0.994 reveal about the rate of change of the quantity?
The function is ________exponentially at a rate of _______% every _______.
Please!!!! Help
Answer:
Step-by-step explanation:
NOSEEEEEE
A school had 1 200 students last year and only 1 080 students this year. What was the percent decrease in the number of students?
The percentage decrease in the number of students in the school was 10%.
What is the percentage?The percentage refers to the ratio or proportion of students that reduced the number of the school population for the present year in comparison to last year's.
We can compute the percentage by finding the decrease in population and taking the result as a numerator of the total number in the last year and multiplying the result by 100.
Percentages represent fractional values and are usually depicted by the percentage sign (%).
The total number of students in the school last year = 1,200
The total number of students in the school this year = 1,080
The decrease in the number of students = 120 (1,200 - 1,080)
The percentage decrease = 10% (120/1,200 x 100)
Thus, we can conclude that the school population decreased by 10%.
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Kelly earned 300 dollars and put 70% of it into the bank. How much did she put into the bank?
Answer:
$210 in bank
Step-by-step explanation:
Kelly earned 300 dollars and put 70% of it into the bank. How much did she put into the bank?
70% = 0.7
300 * 0.7 = $210 in bank
true or false? the sum of the numbers of dots that show up when we roll three dice simultaneously does not follow a discrete uniform distribution.
It is false, that the sum of the numbers of dots that show up when we roll three dice simultaneously does not follow a discrete uniform distribution.
What is Discrete uniform distribution?The Discrete uniform distribution is a symmetric probability distribution used in probability theory and statistics. It contains a finite number of values that are equally likely to be observed; each value has an equal chance of 1/n. "A known, finite number of outcomes equally likely to occur" is another approach to describe the discrete uniform distribution.
The perfect example of Discrete uniform distribution is throwing a die. Tossing a fair dice is an easy illustration of the discrete uniform distribution. The possible results are 1, 2, 3, 4, 5, and 6, and the likelihood of a certain result is 1/6 each time the die is thrown. Because not all sums have an equal chance, the distribution that results when two dice are thrown and their values are summed is no longer uniform.
From the above observation, we can say that the sum of the number of dots that show up when we roll three dice simultaneously will follow a discrete uniform distribution.
It is false, that the sum of the numbers of dots that show up when we roll three dice simultaneously does not follow a discrete uniform distribution.
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Find the least common multiple of the given algebraic terms. x², 2xy, 3y
Step-by-step explanation:
common factor= x and y
remaining factor = x , 2 , 3
L.C.M = 6 x sq. y
Someone help pleaseeee !
The value of x and y which is on midsegment of the triangle is 1 and 11.
What is midsegment?
A triangle's midsegment is the section of the triangle's shape that connects the midpoints of its two sides. a section of a line connecting the midpoints of two triangle's sides. There are three possible midsegments in a triangle. The section of a line between the midpoints of two triangle sides is known as a midsegment. Due to the fact that triangles have three sides, they also have three midsegments. A line drawn by joining the midpoints of any two of a triangle's sides is known as the midsegment.
let us assume triangle as ABC and DE is the midsegment .
Where DE=2x+1 and BC = 8x-2 .
According to the midsegment theorem ,
=> DE = 1/2 BC
=> 2x+1 = 1/2(8x-2)
=> 2x+1=4x-1
=> 2x=2
=> x=1
Now AB divided intp AD=3z and DB=z+22
Then, AD=DB
=> 3z = z+22
=> 2z = 22
=> z = 11.
Hence the value of x=1 and z= 11.
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Convert Decimal to Percent
1.56 =
0.31 =
Convert Percent to Decimal
62%=
94% =
Convert Decimal to Fraction
1.12 =
12
100
0.223 =
223
1000
0.728=
1.67 =
91.8% =
36.2 % =
0.57 =
0.67=
0.7 =
0.783=
148 % =
32.6% =
0.393 =
0.28=
100-
25
Answer: Your question is too long for me to answer
Step-by-step explanation:
A group of 4 people go to a restaurant and the bill without tax comes to $105.73. Tax is 6%. Remember to round to the nearest hundredth because this is money. After tax is added, you want to leave a 20% tip on the new total. The group of 4 people decides to split the total cost equally. How much will each person pay?
The amount of money paid by each of the 4 persons will be $33.6.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a group of 4 people go to a restaurant and the bill without tax comes to $105.73. The tax is 6%. Remember to round to the nearest hundredth because this is money. After-tax is added, you want to leave a 20% tip on the new total.
Total cost = $105.73 x 1.06 x 120
Total cost = $134.48
Amount for each person,
A = $134.48 / 4
Amount = $33.62
Therefore, the amount of money paid by each of the 4 persons will be $33.6.
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The vertex is (-2,2), axis of symmetry is x = -2 and the parabola is downward.
From the graph:
vertex:
The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.
here vertex = (-2,2)
Axis of symmetry:
The axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetric.
x = -2.
Parabola:
It is clearly visible that the parabola is facing downward so it is a downward parabola.
Therefore the vertex is (-2,2), axis of symmetry is x = -2 and the parabola is downward.
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Your friend Alex has won a scholarship to
study abroad. (Congratulations!) Alex has
only 8 weeks to earn enough money to buy a
plane ticket, and he wants to work at an
amusement park over the summer to achieve
this goal.
Tech intership
Schedule- Part Time (20hours/week)
Wage-11.50/hour
Amusement park attendant
Schedule- full time (40hours/week)
Wage - 9/hour+ 100 bonus
8 weeks to buy airplane ticket $2200
Please help with the table
In tech internship
Slope of the line m is $11.50, y intercept is 0 and the point slope form is y = 11.50x + 0
In Amusement park attendant
The slope of the line = $9, y intercept is 100 and Point slope form y = 9x + 100
In tech internship
Schedule = part time (20 hours/week)
The wage = $11.50/hour
The slope intercept form
y = 11.50x
Slope of the line m = $11.50
y intercept = 0
y = 11.50x + 0
In Amusement park attendant
Schedule- full time (40hours/week)
Wage - 9/hour+ 100 bonus
The slope of the line = $9
y intercept = 100
The equation is
y = 9x + 100
Hence,
In tech internship
Slope of the line m is $11.50, y intercept is 0 and the point slope form is y = 11.50x + 0
In Amusement park attendant
The slope of the line = $9, y intercept is 100 and Point slope form y = 9x + 100
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lin rode he skateboard 3 miles in 9 minutes. she rode at a constant speed. how far did she go if she only went for 1 minute?
First, break down the problem.
Someone can skate 3 miles in 9 minutes.
What is their speed? How far would they go if they did that speed for 1 minute?
To find speed given time and distance, divide distance by time.
3/9 = 1/3
Speed is 1/3 mile per minute
if they travel one minute, they will travel 1/3 of a mile
hope this helps :)
given that AC is 38. Find bc
Answer:
x = 12
Step-by-step explanation: You start off with this
3x + 2
Then since AC is 38 you make it
3x+2=38
Then you do -2 getting rid of the 2 and doing 38 - 2 which is 36
you now have:
3x = 36
then you do 3x divided by 3 on both sides
you do 36 divided by 3 then you get
x = 12
Three people each have a tendency to lie 1/3 of the time. There is a coin flip that they all see. They all say it's Heads. What's the probability it is actually Heads
The probability is 8/9.
From the question, we have
probability = (1/3)*(1/3)*(1/3) = 1/27 chance (all of them lie)
probability = (2/3)*(2/3)*(2/3) = 8/27 chance (all of them true).
Since, they all say it's heads.
Thus, the probability of it being heads = (8/27)/ ((8/27)+(1/27)) = 8/9.
Probability:
Chance is referred to as probability. This branch of mathematics studies the probability of a random event. The value is between 0 and 1. Probability is a concept that mathematics has adopted to predict the likelihood of particular events. Probability is just the measure of how likely something is to occur. With the help of this fundamental theory of probability, which is also used to describe the probability distribution, you will be able to comprehend the possible results for a random experiment. How likely something is to occur can be determined using probability. It might be challenging to predict many things with complete certainty. We can only predict whether an event will occur or how likely it is using it, not if it will actually occur.
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Use remainder theorem for x^3+8x^2+11x-20 by x-5
The remainder is 360.
What is the remainder theorem?When a polynomial p(x) is divided by a linear polynomial (x - a), then the remainder is equal to p(a).
Given a cubic polynomial, x³+8x²+11x-20
The zero of the linear polynomial.
Substitute it in the given polynomial.
As a result, we get the remainder.
x - 5 = 0
x = 5
Substitute 5 to x³ + 8x² + 11x - 20:
5³ + 8×5² + 11×5 - 20 = 125 + 8×25 + 55 - 20 = 160 + 200 = 360
Hence, The remainder is 360.
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Write an inequality statement that represents "two and 5 tenths minus 2 times the quantity of the
difference of negative 3 and one half and two times a number is at least ten and three quarters".
Answer:
2.5 - 2(-3-0.5) + 2(n) > 10.75
Step-by-step explanation:
Step 1: two and 5 tenths is 2.5
Step 2: 2 times the quantity of the difference of negative three and one half is 2(-3-1/2)
Step 3: two times a number is at least ten and three quarters = 2(n) > 10.75
Combine: 2.5 - 2(-3-0.5) + 2(n) > 10.75
Consider the following conjecture.
There are no prime numbers between 7,608 and 7,620
How could this statement be shown to be true or false? Would it still be a conjecture if no counterexample were found? Explain
There are no prime numbers between7,608 and 7,620
A prime number is a whole number greater than 1 whose only factors are 1 and itself
The numbers between 7608 and 7620 are:
7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619
Here we have to check these numbers are prime number or not
Prime factorization
7609=7×1087
7610=2×5×761
7611=3×43×59
7612=2×2×11×173
7613=23×331
7614=2×3×3×3×3×47
7615=5×1523
7616=2×2×2×2×2×2×7×17
7617=3×2539
7618=2×13×293
7619=19×401
Hence, proved that there are no prime numbers between7608 and 7620
you are flying a kite and the angle of elevation from the horizon is 36 if your kite string is 15 feet long, how high are you flying the kite ?
By using a trigonometric relation we will see that the height of the kite is 8.82 feet above the point where you hold the line.
how high are you flying the kite?We can view this as a right triangle, where the hypotenuse has a measure of 15 feet, we know one angle that measures 36°, and the opposite cathetus to that angle is x, the height we want to find.
We want to get the value of x, which is the opposite cathetus to the given angle, then we can use the trigonometric relation:
sin(a) = (opposite cathetus)/(hypotenuse)
Replacing what we know we will get:
sin(36°) = x/15ft
Solving this for x we get:
x = sin(36°)*15ft = 8.82ft
The height of the kite is 8.82 feet.
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can you help me in graph
i came back home now....
Constant Speed Quick Check
Constant Speed Quick Check
Volunteers put together 40 school-supply kits in 8 minutes. At this rate, how many could they put together in 30 minutes
Solve this problem using a unit rate. (1 point)
O 150 school-supply kits
O 10.67 school-supply kits
O 6 school-supply kits
O 9,600 school-supply kits
6 school-supply kits can be put together in 30 minutes.
What do you mean by the Unitary method?
By using the unitary technique, we may determine the value of a single unit and, using that value, get the value of the necessary number of units.
According to the questions,
By applying the unitary method,
40 school supply kits can be put together in 8 minutes.
∴1 school supply kit can be prepared in (8/40) minutes
∴30 school supply kits can be prepared in (30/5) minutes
Hence,
6 school-supply kits can be put together in 30 minutes.
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Cual es el número que sigue en la sucesión 1,3,4,7,11,18
Answer:
29
Step-by-step explanation:
1+3= 4
3+4=7
4+7=11
7+11=18
11+18=29
Using quadratic formula x²-6x+8=0
Answer:
x = 4, 2
Step-by-step explanation:
Passes through (-3, -5), slope = -2
Answer:
b. y + 5 = -2(x + 3) or
y = - 2x - 11
Step-by-step explanation:
Point-slope equation:
y - y₁ = m(x - x₁), where m- slope, (x₁, y₁) - the point on the lineGivenm = - 2,x₁ = - 3,y₁ = - 5Substitute these into point-slope equationy - (-5) = -2(x - (-3))y + 5 = -2(x + 3)Convert this to slope-intercept form:
y = - 2x - 6 - 5y = - 2x - 11Correct choice is b.
Starting at the beginning of the year, Kianna was able to save $215 each month. However
for the last 3 months, she increases her saving to $305 each month, and she plans to
continue saving the same amount of money for 2 more months (until end of the year).
What will be the amount of money Kianna save this year?
By using addition and multiplication, the result obtained is
Kianna saves $3020 this year
What is addition and multiplication?
Suppose there are many numbers. To get the sum total of all the numbers, addition is used
Repeated addition is called multiplication
Addition and multiplication will be used here
Amount of money Kianna saves each month for the first 7 months = $215
Total amount of money Kianna saved in the first 7 months = $215 [tex]\times[/tex] 7
= $1505
Amount of money she saves each month for the last 5 months = $305
Amount of money she saves in the last 5 months = $305 [tex]\times[/tex] 5 = $1515
Total amount of money Kianna saves this year = $(1505 + 1515)
= $3020
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What is at least one social issue associated with food deserts?
Answer:
Food desert census tracts typically have fewer populations than all other census tracts, a higher percentage of unoccupied or abandoned dwellings, and residents who are less likely to have a college degree, make less money, or be employed.
Mark up and discount answers
A basketball backboard set that sold for $79 is discounted 15%. What is the sale price?
The sale price of a basketball backboard set that sold for $79 is discounted by 15% is $67.15.
We will use the method of percentage to solve the given question.
We are given:
A basketball backboard set that sold for $79 is discounted by 15%.
We need to find the sale price after the discount is given.
We will subtract the discount from the marked price.
Let us solve this;
Sale price = marked price - discount
Sale price = $79 - $79 * 15%
Sale price = $79 - $79 * 15 / 100
Sale price = $79 - $11.85
Sale price = $67.15
So, the sale price will be $67.15.
Thus, the sale price of a basketball backboard set that sold for $79 is discounted by 15% is $67.15.
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What would a, b, c be??
The values of a, b and c from the given polynomial are a = -1 , b = 2 and, c= -35.
We are given the expression:-
[tex]x^2+2x-35[/tex]
We know that, the general form of a quadratic expression is :-
[tex]ax^2+bx+c[/tex]
We can rewrite the given expression as:-
[tex]-1x^2+2x+(-35)[/tex]
Comparing it with the given equation, we get:-
a = -1 , b = 2 , c= -35
Polynomial
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division (No division operation by a variable).
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