Answer:
800/920
400/460
40/46
20/23
What is the value of s?S 120°
At first let us draw a sketch to show the position of the given angle
Sandra's music bag contains:
3 traditional country songs
6 traditional rock songs
4 hip-hop rap songs
5 contemporary country songs
1 Latin rap song
3 traditional pop songs.
A. What is the probability that the player will select some rap music next?
B. Find P(traditional), that is, the probability that the player will randomly select traditional music of any kind.
C. Find P(traditional pop).
D. Find P(not country), the probability that the next song is not country music.
Answer:
Step-by-step explanation:
A: 1/6
B: 1/2
Find the distance of the line segment formed by (-3, 4) and (-2, 3)
[tex]\sqrt{2}[/tex] units
The line segment formed by joining (-3, 4) and (-2, 3) , the distance of line segment is [tex]\sqrt{2}[/tex] units
Solution:A line segment is defined as the area between two distinct points on a line. A line segment is a section of a line that connects two points. A line has no endpoints and extends in both directions indefinitely, whereas a line segment has two fixed or definite endpoints.when the coordinates of the two endpoints are given, the length of a line segment In this case, we employ the distance formula,D = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
Given two points , (-3 , 4) and (-2 , 3)
to find the distance formula is ,
distance = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
by substituting the values,
d = [tex]\sqrt{(-2 - (-3)^{2} + (3 - 4)^{2} }[/tex]
d = [tex]\sqrt{(-2 + 3)^{2} + (-1)^{2} }[/tex]
d = [tex]\sqrt{1^{2} + (-1)^{2} }[/tex]
d = [tex]\sqrt{2}[/tex] units.
So the distance of line segment formed by joining (-3, 4) and (-2, 3) is
[tex]\sqrt{2}[/tex] units.
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7. Copy and complete to factorise the expression.
3x2+5x-2=(3x___)(x___)
Answer:
(3x - 1)(x + 2).
Step-by-step explanation:
3x^2 + 5x - 2
= 3x^2 + 6x - x - 2
= 3x(x + 2) - 1(x + 2)
= (3x - 1)(x + 2).
1. Which expression shows the correct multiplication of 3x(6x²-3x+7)
Step-by-step explanation:
I don't see any answer choices, so I tell you the actual result and must pick the fitting answer option.
3x(6x² - 3x + 7) = 18x³ - 9x² + 21x
Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%.
If no other transactions are made, who will have more money in their account after 10 years? How much more step by step explanation please
Lori will make more than Darryl, then the after 10 years Lori will have make $27.00 more in their account.
Darryl deposits into a savings = $1,500
Account that has a simple interest rate = 2.7%.
Lori deposits into a savings = $1,400
Account that has a simple interest rate = 3.8%.
Let us assume,
[tex]P_{1}[/tex] = $1,500
[tex]r_{1}[/tex] = 2.7%.
[tex]r_{1}[/tex] = 2.7/100
[tex]r_{1}[/tex] = 0.027
After 10 years = t = 10years
The formula to calculate simple interest is,
[tex]A_{1}[/tex] = [tex]P_{1} (1+r_{1} t)[/tex] (Equation-1)
[tex]P_{1}[/tex] = Principal amount
[tex]r_{1}[/tex] = rate of interest ( in decimal )
t = time
First we calculate Darryl's deposit,
So we can substitute values in the equation-1,
[tex]A_{1}[/tex] = 1,500(1 + 0.027×10)
[tex]A_{1}[/tex] = 1,500 ( 1+0.27 )
[tex]A_{1}[/tex] = 1,500 × 1.27
[tex]A_{1}[/tex] = $1905
Now we will calculate Lori's deposit,
[tex]A_{2}[/tex] = [tex]P_{2} (1+r_{2} t)[/tex] (Equation-2)
[tex]P_{2}[/tex] = $1,400
[tex]r_{2}[/tex] = 3.8%.
[tex]r_{2}[/tex] = 3.8/100
[tex]r_{2}[/tex] = 0.038
So we can substitute values in the equation-2,
[tex]A_{2}[/tex] = 1,400 ( 1 + 0.038 × 10 )
[tex]A_{2}[/tex] = 1,400 ( 1 + 0.38 )
[tex]A_{2}[/tex] = 1,400 × 1.38
[tex]A_{2}[/tex] = $1,932
Darryl will make money after 10 years = $1905
Lori will make money after 10 years = $1,932
Hence,
Lori will make more than Darryl,
Then the difference will be = 1,932 - 1,905 = $27
Therefore,
After 10 years Lori will have make $27.00 more in their account.
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Work out the value of (√99 - √11)²
Answer: 44
Step-by-step explanation:
(√99 - √11)²
simplify the expression
(3√11 - √11)^2
collect like terms
(2√11)^2
use the properties of exponents
4 x 11
answer: 44
Make r the subject of the formula t=r/r-3
[tex]r =\frac{3t}{(t-1)}[/tex] is the r subject of the formula t=r/r-3
How is r made the subject of t=r/r-3?
[tex]t =\frac{r}{r-3} \\\\t(r-3) =r\\\\tr - 3t = r\\\\tr- r = 3t\\\\r(t-1)=3t\\\\r = \frac{3t}{(t-1)}[/tex]
What does making r the subject mean?
Rearranging the formula or equation so that we have a single r variable that is equivalent to the other variables in the formula is necessary to make r the subject of the formula or equation.Each term containing r should be placed on the same side of the equation after rearranging the equation.Factorization may be necessary if r appears in multiple terms.To make r the subject, only one r needs to be shown at the end.When we square root a number or variable as an inverse operation, the outcome can be either positive or negative.To learn more about making r the subject, refer:
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You are making a cake for a friends birthday and bought 2 3/5 pounds of butter. if each layer of the cake requires 1/3 pound of butter, how many layers can you make from 2 3/5 pounds of butter?
Answer: 7 full layers
Step-by-step explanation: well 2 can be changed to 6/3, and 6/3 divided by 1/3 is 6 layers from two pounds. Then the tricky part is the 3/5, but you can make a common denominator, aka to make a layer is 5/15, and the amount ou have (besides the two pounds) is 9/15. 9/15 is enough for one more 5/15, making an extra layer, aka 7 full layers.
Can someone help me with this math one to please and thank you
is the number of birds in different regions discrete or continuous
The number of birds in different regions is a discrete variable.
What is Discrete data?Discrete data can only have certain values. There may be an endless number of those values, but each one is distinct, with no grey space in between. Discrete data can be numerical, such as the number of apples, or categorical, such as red or blue, male or female, or good or bad.
The discrete variable is the number of birds.
This variable is not continuous in this case because we count the number of birds rather than measure them.
The continuous variables are measured rather than counted. For example, weight, height, and so on.
As a result, the quantity of birds in various places is a discrete variable.
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ON SATURDAY MORNINGS FROM 9:00 UNTIL NOON, BRENT WATCHES A GROUP OF PRESCHOOLERS WHILE THEIR PARENTS WORK OUT IN THE GYM. BRENT EARNS $7.25 PER HOUR PLUS $1.00 PER CHILD. TODAY THERE ARE 7 CHILDREN…HOW MUCH WILL BRENT EARN? SHOW YOUR WORK IN THE SOLUTION BOX AND CIRCLE YOUR FINAL ANSWER. PLACE IN THE BASKET WHEN FINISHED.
After conducting some mathematical operations, we know that Brent earned $28.75.
What are mathematical operations??A mathematical function known as an operation converts zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The order of operations refers to the rules that define the sequence in which we should perform the operations necessary to solve an expression.Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).So, the amount Brent will earn when there are 7 children:
Brent earns $7.25 per hour and he watched kids from 9:00 am to noon which is 3 hours.
$7.25 × 3 = $21.75He earns $1 per child and there are 7 children present, then:
7 × 1 = $7Total amount he earned: $21.75 + $7 = $28.75
Therefore, after conducting some mathematical operations, we know that Brent earned $28.75.
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The correct question is given below;
ON SATURDAY MORNINGS FROM 9:00 UNTIL NOON, BRENT WATCHES A GROUP OF PRESCHOOLERS WHILE THEIR PARENTS WORK OUT IN THE GYM. BRENT EARNS $7.25 PER HOUR PLUS $1.00 PER CHILD. TODAY THERE ARE 7 CHILDREN…HOW MUCH WILL BRENT EARN?
Look at the function that is graphed below. 5 4 9 3 2 T -5 -4 -3 210 T N 3 w 5 up 3 4 5 6 What is the domain and range of the function?
Answer:
Domain: [-4, 5]
Range: [-3, 3]
Step-by-step explanation:
Domain is the set of all permissible x values ie the values of x for which the function is defined.
Range is the set of all values of the function ie f(x) or y in tis graph for the domain
Looking at the graph we can see that the smallest value for x is -4 and the largest value is +5
Domain is [-4, 5]
For these values, y ranges from smallest of -3 to largest of + 3
So Range is [-3, 3]
13. A bird called the purple martin can eat
2400 mosquitos in 40 minutes. At that rate,
how many can it eat per minute?
Answer:
It can eat 60 mosquitos in 1 minute.
Step-by-step explanation:
[tex]2400[/tex] ÷ [tex]40[/tex] [tex]= 60[/tex]
poni wants to purchase a birdfeeder that costs $19.95. The sales-tax rate in her city is 812% . What is the total cost of the birdfeeder?
The total cost of the birdfeeder which poni wants to buy including the sales tax is $21.54.
Given poni wants to purchase a birdfeeder that costs $19.95.
sales tax rate in her city is = 8.12%
total cost of the birdfeeder = ?
The pre-tax price of an item must first be multiplied by the sales tax percentage once it has been converted into a decimal form in order to determine the amount of sales tax that will apply to the purchase. To get the item's final cost, the sales tax must first be computed, and then it must be added to the pre-tax price.
sales tax rate = 8.12% = 0.0812
Round it off to two decimal places.
= 0.08
Now, in order to determine the cost of the sales tax, we must multiply the item's pre-tax price by this amount.
sales tax = 0.08×$19.95
sales tax = $1.596
Since our total is in dollars and cents, round to two decimal places.
sales tax = $1.59
now total cost = pre tax value+sales tax.
= $19.95+1.59
=$21.54
Hence the total cost of the birdfeeder is $21.54.
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if liz has 5 ken dolls how many barbie dolls would she have?
what is the answer to this equation?
For given graph of function, the x-intercepts are:
x = 0 and x = 4
In this question, we have been given a graph of a function.
We need to find the x-intercept for given graph.
We know that, the points at which the graph of function intersects the X-axis are known as x-intercepts.
We can observe that the graph intersects X-axis at points (0, 0) and (4, 0)
Therefore, for given graph of function, the x-intercepts are:
x = 0 and x = 4
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An equilateral triangle with side lengths
5 inches is translated 3 units down and 2 units right. Describe
the shape and dimensions of the translated figure.
This suggests that the equilateral triangle's sides' measurements remain unaltered.
What is coordinate plane ?A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis cross, is reached. To locate points, one uses the numbers on a coordinate grid.
Sides = 5 inches
Given
Sides = 5 inches
Translation = 3 units (down) and 2 units (right)
Required
Determine the length of one side after translation
It should be emphasized that just the position of a shape, line, or object changes when it is translated by moving its position, not its length.
This suggests that the equilateral triangle's sides' measurements remain unaltered.
Hence:
Sides = 5 inches
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2. Given the following data set: 1,7,6, 3, 5, 2, 10, 3, 6, 7, 4, 1, 9, 7, 2, 11}
Mean=
Mode=
Median =_
The mean, median, and mode, of the given data set, are 5.25, 5.5, and 7.
What are mean, median, and mode?A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode. Simply add up all of your data to determine the mean. The sum should then be divided by however many numbers you added. Your mean or average score is the outcome.So, the data set from ascending to descending form:
1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 7, 7 ,9 , 10, 11Mean: Sum of terms/ number of terms
Sum of terms/ number of terms84/165.25The mean is 5.25.
Median: (Even terms) Average of 2 middle terms:
5 + 6/211/25.5The Median is 5.5.
Mode: The most repetitive term
7The mode is 7.
Therefore, the mean, median, and mode, of the given data set are 5.25, 5.5, and 7.
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2.5 divided by 3,321.2?
Answer:
0.000752739974
by the way i used a calculator
I hope this helps :)
ASAP!! Justin bought a calculator and a binder that were both 15% off the original price. The original price of the binder was $6.20. Justin spent a total of $107.27. What was the original price of the calculator?
Include all steps for branliest.
================================================
Work Shown:
x = original price of the calculator
x+6.20 = original price of calculator and binder
0.85(x+6.20) = price after discount, see note below
0.85(x+6.20) = 107.27
Solving for x.
0.85(x+6.20) = 107.27
0.85x+0.85*6.20 = 107.27
0.85x+5.27 = 107.27
0.85x = 107.27-5.27
0.85x = 102
x = 102/0.85
x = 120 dollars is the original price of the calculator
--------------
Checking the answer:
Before the discount, Justin would pay 120+6.20 = 126.20 dollars for the calculator and binder. He saves 15%, which means he saves 0.15*126.20 = 18.93 dollars and the final price would be 126.20-18.93 = 107.27 which matches up with the value in the instructions.
Or a shortcut would be 0.85*126.20 = 107.27 and that confirms the answer as well.
--------------
note: If Justin saves 15% then he pays the remaining 85% (since 15+85 = 100). So that's why there's a 0.85
Answer:
Original price of the calculator = $120
Step-by-step explanation:
Given:
Original price of the binder = $6.20If the original price of the binder was reduced by 15%, then the sale price is 85% of the original price (since 100% - 15% = 85%).
[tex]\begin{aligned}\implies \textsf{Sale price of the binder}& = \sf 85\% \;of\; \$6.20\\&= \sf 0.85 \times \$6.20\\&= \sf \$5.27\end{aligned}[/tex]
If Justin spent a total of $107.27:
[tex]\begin{aligned}\implies \textsf{Sale price of the calculator}&= \sf Total\;spent-Sale\;price\;of\;the\;binder\\ & = \sf \$107.27 - \$5.27 \\ & = \sf \$102.00\end{aligned}[/tex]
Remembering that the sale price of the calculator is 85% of its original price:
[tex]\begin{aligned}\implies \sf 85\% \; \textsf{of original price}&=\sf \$102.00\\\sf 0.85 \times original \; price &=\$102.00\\\sf Original \; price & = \sf \$102.00 \div 0.85\\\sf Original \; price &= \sf \$120.00\end{aligned}[/tex]
Therefore, the original price of the calculator was $120.
Hey i need help!!!!
What do the following two equations represent?
*6x-15y=15
*y=2/5x-1
The given two equations represent that 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
What is equation?Equations are logical statements in mathematics that are denoted by an equals (=) sign and two algebraic expressions on either side of it. It is demonstrated that the expressions on the left and right are equal to one another.
All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain a "equal to" symbol, it is not an equation. It will be considered as an expression.
We have been asked to find the value of x and y in 6x-15y=15 and y=2/5x-1
Let solve for y = 2/5x-1
in 6x - 15y = 15
⇒ 6x - 15(2/5x-1) = 15
⇒ 6x - 6x + 15 = 15
⇒ 15 = 15
⇒ This mans they have slope
⇒ 6x - 15y = 15 in y-intercept form
⇒ 15y = 6x - 15
⇒ 15y = 6x - 15
⇒ y = (6x - 15)15
⇒ y = 2/5x - 1
Thus, 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
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A 33 degree angle is a(n)
Answer:
acute
Step-by-step explanation:
Answer:
acute angle
Step-by-step explanation:
89 degrees - = acute angle
90 = right angle
91+= obtuce
180= straight angle
What the answer for 908x64=
Answer:
908x64=58112
hope it helps you
Answer:
58112
Step-by-step explanation:
Solution
908×64=58112
hence required answer is 58112.
PLEASEEE HELP
27 points
Answer:
It should be the dot in between 3.8 and 3.9.
Step-by-step explanation:
Well, the square root of 15 is approximately 3.87. So, find the dot where you think 3.87 is. It should be the dot in between 3.8 and 3.9.
the circle below is centered at the point (4,3) and had a radius of length 5 what is its equation ?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Circle
center (4 , 3)
radius = 5
equation of the circle = ?
Step 02:
equation of the circle
(x - h)² + (y - k)² = r ²
(h , k) ===> center
r ===> radius
(x - 4)² + (y - 3)² = 5²
(x - 4)² + (y - 3)² = 25
The answer is :
(x - 4)² + (y - 3)² = 5²
What must be added to -9.46 to yield 7.489?
Let the number to be added = x
so the equation will be
-9.46+x=7.489
x=7.489+9.46
as the sign changes on the other side of the equals sign
x=16.949
To check: -9.46+16.949
=7.486
So the number to be added is 16.949
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Put these numbers in order from least to greatest min 0.36 0.19 0.78 3/5
Convert all numbers to decimals
[tex]\frac{3}{5}=0.6[/tex]since there are no negative numbers use the first decimal place to order them.
0.19 0.36 0.6-3/5 0.78
pls help me it so so hrad pls
The triangle in the right side of the first row, the triangle in the left side of the second row and the triangle in the left side of the third row are labeled correctly.
What triangles are represented correctly?
Triangles can be defined in terms of their base and their height. Both are linear measures. The base is one side of the triangle and the height is a line perpendicular to the base that meets the vertex opposite to the base.
Based on this explanation we find that the triangle on the right of the first row, the triangle on the left of the second row and the triangle on the left of the third row are labelled correctly.
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Help please due today
The value ∠L, ∠M and ∠N is 59°, 105° and 16° respectively.
∠L = (4x - 5)°, ∠M = (7x-7)° and ∠N = x°
The summation of all three angles of a triangle is equal to 180°
∠L+ ∠M + ∠N = 180°
4x - 5 + 7x -7 + x = 180
12x - 12 = 180
12x = 192
x = 192/12
x = 16
∠L = 4x - 5
= 4(16) - 5
= 64 - 5
= 59°
∠M = 7x - 7
= 7(16) - 7
= 112 - 7
= 105°
∠N = x = 16°
Therefore the value ∠L, ∠M and ∠N is 59°, 105° and 16° respectively.
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