Solve 2x>8 or 2x< 4.
math is not fun please help
Answer:
∠ RST = 22°
Step-by-step explanation:
since ∠ RSU = 91°
and ∠ TSU = 69°
so ∠ RST = 22°
HOW:
given that;
∠ RSU = 91°
and
∠ TSU = 69°
we would subtract 69° from 91°
91°-69°= 22°
You have read 4 of the books shown. Which choice shows 2 ways of writing the fraction of these books that you read?
Using proportions, two ways of writing the fraction of these books that you read is:
4/12 and 1/3.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations, especially multiplication or division.
One example of application of proportions is for relative frequencies, as a relative frequency is given by the number of successes in the sample divided by the sample size.
In the context of this problem, it is found that:
The number of successes on the sample is of 4, as you have read 4 books.The sample size is of 12, as there is a total of 12 books.Hence the relative frequency is:
4/12.
12 is divisible by 4, hence the fraction can be simplified as follows:
1/3.
Missing informationThe number of books is missing, and is of 12. (researching the problem on a search engine).
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which pair of equations is a set of parallel lines ? a. y = x + 2 and y = 2 b. x = 2 and y = 4
Neither of the pairs of linear equations has the same slope in both lines, so we don't have parallel lines.
Which pair of equations is a set of parallel lines?A general linear equation is of the form:
y = m*x + b
Where m is the slope and b is the y-intercept.
Two linear equations are parallel only if both lines have the same slope and a different y-intercept.
In this case, the lines given are:
y = x + 2 and y = 2.
x = 2 and y = 4
Neither of these are particularly parallel lines (because in both pairs we have different slopes), so we conclude that there is no correct option.
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Find the probability of at least 6 failuresin 7 trials of a binomial experiment inwhich the probability of success in anyone trial is 9%.p=[?1%Round to the nearest tenth of a percent.
the triangles below are similar. Find the value of x.
Answer:
x=9
Step-by-step explanation:
both sides are 14 and the other triangle is 7 so 14/7=2 and 18/2=9
The equation y =1/2x represents a proportional relationship. What is the constant of proportionality? A. 1/2B.XC. 0D. 2
You have the following equation:
y = 1/2 x
In order to determine what is the constant of proportionality, consider the general fom of proportional relatioship, given by:
y = kx
by comparing the previous equation with y=1/2x, you can notice that k=1/2. Then, the constant of proportionality is k = 1/2
A. 1/2
what is 1.025 as a fraction?
The decimal number 1.025 is 41/40 in fractions.
What is Number system?A number system is defined as a system of writing to express numbers.
A fraction is a part of a whole
The decimal number one point zero two five should be converted to fraction.
The conversion of 1.025 to fraction is 41/40.
If we calculate 41/40 we get the value 1.025.
Hence 1.025 is 41/40 in fractions.
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In the triangle below, ZABC is a right angle. Given that BDI AC, which statement must be true? (Hint: Look at your notes about similar right triangles). B AB AC AB AD DC DC BD BD AB BC DB BC DC AD DB DC
In a right triangle, if the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments, the length of the altitude is the geometric mean of the lengths of the two segments.
According to this
[tex]\frac{AD}{DB}=\frac{DB}{DC}[/tex]Which is the fourth option.
the 10th and 15 term of an AP are - 5 and - 7 1/2 respectively what is the sum of the first 20 terms ? I really need the answer pls A 60 B -105 C -52 1/2 D -20
Answer:
B
Step-by-step explanation:
before finding the sum we require to find first term and common difference.
the nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₁₀ = - 5 and a₁₅ = - 7 [tex]\frac{1}{2}[/tex] = - 7.5 then
a₁ + 9d = - 5 → (1)
a₁ + 14d = - 7.5 → (2)
subtract (1) from (2) term by term to eliminate a₁
0 + 5d = - 2.5
5d = - 2.5 ( divide both sides by 5 )
d = - 0.5
substitute d = - 0.5 into (1) and solve for a₁
a₁ + 9(- 0.5) = - 5
a₁ - 4.5 = - 5 ( add 4.5 to both sides )
a₁ = - 0.5
the sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
here a₁ = - 0.5 and d = - 0.5 , then
S₂₀ = [tex]\frac{20}{2}[/tex] [ (2 × - 0.5) + (19 × - 0.5) ]
= 10 (- 1 -9.5)
= 10 × - 10.5
= - 105
Point T is located at (2, 5). Point A is located at (-3, 1.5). Point A is the midpoint of segment TB.
Point B is the midpoint of segment TY. What are the coordinates of point Y?
Using the midpoint, the coordinates of point Y in the line segment TY is (-18, -9).
How to use midpoint to find coordinates?Point T is located at (2, 5). Point A is located at (-3, 1.5). Point A is the midpoint of segment TB.
Therefore, the mid point formula can be represented as follows:
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Hence, let's find the coordinates of point B.
(-3, 1.5) = (2 + x₂ / 2 , 5 + y₂ / 2)
2 + x₂ / 2 = - 3
cross multiply
2 + x₂ = -6
x₂ = -6 -2
x₂ = - 8
1.5 = 5 + y₂ / 2
3 = 5 + y₂
y₂ = 3 - 5
y₂ = -2
Therefore, the coordinates of B is (-8, -2)
Hence, let's find the coordinate of point Y. The coordinates of point B is the mid point of segment TY.
(-8, -2) = (2 + x₂ / 2 , 5 + y₂ / 2)
(-8, -2) = (2 + x₂ / 2 , 5 + y₂ / 2)
2 + x₂ / 2 = - 8
-16 = 2 + x₂
x₂ = -18
-2 = 5 + y₂ / 2
-4 = 5 + y₂
-4 - 5 = y₂
y₂ = -9
Therefore, the coordinates of y is (-18, -9)
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An elevator in a skyscraper rises 240 feet in 15 minute. What is the
elevator’s rate in feet per minute?
Answer:
Step-by-step explanation:
answer is 16
tell me if the way I did it includes what's in this equation like if its commutative, associative, distributive or combined like terms
On the first line the distributive property was used. This property says that the product of a constant with a sum of two numbers is equal to the sum of the products.
On the third line the "associative" property was used. This property says that if you have the sum of three numbers the order at which you sum them doesn't affect the results.
Which equation is true when x=10 but not when x= – 10? Select all that apply.
Applying power rules, the equations that is true when x = 10 but false when x = -10 is given as follows:
x³ = 10000.
Exponents of 10The behavior of the exponents of 10 is different for even and for odd exponents, as follows:
Even exponents generate even functions, that is, 10^n = (-10)^n if the exponent n is even.Odd exponents generate odd functions, that is 10^n = -(-10)^n if the exponent is odd.In this problem, we have two exponents, as follows:
Exponent 2 is even.Exponent 3 is odd.We want different results for the power when x = 10 and when x = -10, hence the correct option will involve the odd exponent 3.
The third power of 10 is calculated as follows:
10³ = 10 x 10 x 10 = 100 x 10 = 1000.
Hence the equation that is true for x = 10 and false for x = -10 is:
x³ = 10000.
As when x = -10, the result is:
(-10)³ = (-10) x (-10) x (-10) = 100 x (-10) = -1000.
Missing informationThe options are given by the image at the end of the answer.
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FInd the probability that a student walks to school
The probability that a student walks to school is 7/15
How to determine the probability of walking to school?The tree diagram represents the given parameter
From the tree diagram, we have the following parameters
P(Rain) = 2/5
P(Rain and walk) = 1/6
P(No rain) = 3/5
P(No rain and walk) = 2/3
The probability of walking to school is then calculated as
P = P(Rain) x P(Rain and walk) + P(No rain) x P(No rain and walk)
Substitute the known values in the above equation
So, we have
P = 2/5 x1/6 + 3/5 x 2/3
Evaluate the products
P = 1/15 + 6/15
Evaluate the sum
P = 7/15
Hence, the probability is 7/15
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Round off each to the nearest thousand
1565
3408
5671
7364
9761
8975
Answer:
1. 1600
2. 3,000
3. 6,000
4. 7,000
5. 10,000
6. 9,000
Step-by-step explanation:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
In this case, Rule A applies and 1565 rounded to the nearest hundred is:
1600
XYZ has coordinates X(2, 3), Y(1, 4), and Z(8, 9). A translation maps X to X′(4, 8). What are the coordinates for Z′? *
Answer:
Z'(10, 14)
Explanation:
Taking into accoun that the vertex point X(2, 3) is mapped to X'(4, 8), we can say that the translation rule is:
(a, b) ----> (a + 2, b + 5)
Because
X(2, 3) ----> (2 + 2, 3 + 5)
----> X'(4, 8)
So, using this rule, we can find the coordinates for Z' as:
Z(8, 9) ----> (8 + 2, 9 + 5)
----> Z'(10, 14)
Therefore, the answer is Z'(10, 14)
most states run a lottery game in which players may select a three digit number, then later that day a televised drawing randomly selects a winning three digit number. suppose you select one three digit number and buy a ticket. what is the probability that your three digit number is an exact match with the winning three digit number?
The probability that the selected three digit number is an exact match with the winning three digit number = 1/1000
The 10 digits are 0, 1, 2, 3, 4, 5, 6,7, 8, 9. From these 10 digits 3 digits are selected.
Total number of ways of selecting a three-digit number = Number of ways of selecting a digit from 10 digits for each place(one's, ten's and hundred's place)
Thus a three-digit number can be selected in 10 x 10 x 10 = 1000 ways.
So there are 1000 possibilities for a three digit number.
From this only one choice matches exactly with the winning number.
So the number of favorable outcome = 1
Hence, The probability that the selected three digit number is an exact match with the winning three digit number = 1/1000
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an instructor has graded 22 exam papers submitted by students in a class of 23 students, and the average so far is 73. how high would the score on the last paper have to be to raise the class average by 1 point?
The next score have to be 96 to raise the class average by 1 point.
Explanation :
Let the score of the last paper be x, then
(22(73) + x)/23 = 74
22(73) + x = 74 x 23
1606+ x = 1702
x = 1702- 1606 = 96
x = 96
The next score have to be 96 to raise the class average by 1 point.
Solution in math :
An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values that, when used to replace the unknowns, cause the equation to equal itself. You can solve an equation numerically or symbolically.When an equation is solved numerically, only numbers are accepted as solutions. When an equation is solved symbolically, the solutions can be represented by expressions. The distinction between known variables and unknown variables is generally made in the statement of the problem, by phrases such as "an equation in x and y", or "solve for x and y", which indicate the unknowns, here x and y. Any solution, all solutions, or a solution that meets additional properties, such as belonging to a particular interval, may be found by solving an equation, depending on the context. An optimization problem is one where the goal is to identify the solution that meets a particular criterion best. A solution is a tuple of values, one for each unknown, that satisfies all of a given set of equations or inequalities. The solution set of a given set of equations or inequalities is the set of all of its solutions. There are no values of the unknowns that satisfy all equations and inequalities simultaneously if the solution set is empty.To learn more about how to find value of x refer :
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Draw a slope triangle, from point B, whose horizontal leg is along the x-axis. What are the lengths of the vertical and horizontal legs of your slope triangle?
Horizontal leg = 6 units
Vertical leg is 4 units
Lets Represent the diagonal as line AB where A and B are the endpoints of the line segment
The coordinates of point A is ( 12,4)
The coordinates of point B is ( 6,0)
Slope = ( Y2 - Y1 ) / (X2 -X1) = (0 - 4) / ( 6 - 12) = -4 / -6 = 2/3
or simply.
slope = rise / run = vertical leg/ horizontal leg = 4/6 = 2/3
ANSWER
Horizontal leg = 6 units
Vertical leg is 4 units
Slope = 2/3
Graph the Linear equation: y = - 3/4x + 5
Based on the given linear equation of y = - 3/4x + 5, the graph is shown attached.
How to graph an equation?When given a linear equation, you graph it by coming up with x values and then using the equation to find the corresponding y values.
The linear equation is y = - 3/4x + 5.
If the value x = -1, then y would be:
y = - 3/4x + 5
= -3/4(-1) + 5
= 5.75
If the value x = 0, then y would be:
y = -3/4(0) + 5
= 5
If the value x = 1, then y would be:
= -3/4(1) + 5
= 4.25
If the value x = 2, then y would be:
= -3/4(2) + 5
= 3.5
If the value x = 3, then y would be:
= -3/4(3) + 5
= 2.75
The points would be:
(-1, -5.75) (0, 5) (1, 4.25) (2, 3.5) (3, 2.75)
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Which answer is equivalent to
OA.
B. √
(4
OB.
C.
16
49
D.
16
49
3/16
349
√16
(49
? Please helpppp
Answer:
C [tex]\sqrt \frac{16}{49}[/tex]Step-by-step explanation:
looking at all the stress you're in I knew I had to help so all your lists are bunched up, so I went of the picture C is correct because B 4 and 7 aren't even a part of the question itself and A has 16 and 49 but it doesn't have sqrt so it's not = to the question and D is not correct either because it doesn't have one sqrt it has two on top of each other. HOPE THIS HELPED!
what is the name of the function which has the form f(x)=mx+b, where m>0, and how can the graph of the function be described?
The correct option is D. i.e., Linear Function, Diagonal line which slants upward from left to right.
Given,
The function is :
f(x) = mx + b
and, where m> 0
Described the graph of the function and also write the name of the function:
Now, According to the statement is :
f(x) = mx + b , m > 0
It is an increasing line.
So, The correct option is D. i.e., Linear Function, Diagonal line which slants upward from left to right.
What is a increasing line in a graph?
If a linear graph is increasing then its gradient is positive, since when x increases by 1, y changes by a positive number. If a linear graph is decreasing, the gradient is a negative number.
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graph a line that is perpendicular to the given line. determine the slope of the given line and the one you graphed in simplest form. click and drag on the graph to draw a line. click and drag to plot a perpendicular line. the line will change colors when a parallel or perpendicular line is drawn accurately.
The line given passes through two points. These are (-6,0) and (0,-8).
Remember that two lines are perpendicular if the product of their slopes is -1. So, the first thing we're going to do is to find the slope of the line given.
The slope between two points (x1,y1) and (x2,y2) can be found using the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]If we replace our values:
[tex]m=\frac{-8-0}{0-(-6)}=\frac{-8}{6}=-\frac{4}{3}[/tex]To find other perpendicular line to this one, we have to find a number which multiplication with -4/3 is -1.
This number is clearly 3/4. Because
[tex]\begin{gathered} m_1\cdot m_2=-1 \\ -\frac{4}{3}\cdot m_2=-1 \\ \\ m_2=\frac{3}{4} \\ \\ -\frac{4}{3}\cdot\frac{3}{4}=-1 \end{gathered}[/tex]Therefore, the slope of the perpendicular line must be 3/4, and the original slope is -4/3.
If we graph this:
Omar went shopping for a new video game because of a sale. The price on the tag was $37, but Omar paid $25.90 before tax. Find the percent discount.
Answer:
30%
Step-by-step explanation:
Omar went shopping for a new video game because of a sale. The price on the tag was $37, but Omar paid $25.90 before tax. Find the percent discount.
(37 - 25.9)/37 = 0.3 or 30% discount
check:
70% of $37 = $25.90
a(n)= 2 3 (−2) n−1
q - r - 3s = p solve for q
Answer:
q = p + r + 3s
Step-by-step explanation:
q - r - 3s = p solve for q
q - r - 3s = p
add r to both sides:
q - r - 3s + r = p + r
q - 3s = p + r
add 3s to both sides:
q - 3s + 3s = p + r + 3s
q = p + r + 3s
Find the tangent of the angle whose measure is negative pi. (-pi)
First convert the angle measure from radians to degrees using the formula
[tex]\theta\cdot\frac{180}{\pi}[/tex]Were θ represents the angle of interest
So for this exercise the angle is pi, so:
[tex]\pi\cdot\frac{180}{\pi}=180[/tex]Now using the calculator you can determine tha tangent of negative 180º
tan(-180º)=0
So the tangent of negative pi should also be zero
Josie sold 790 tickets to a local car show for a total of $4,390.00. A ticket for a Child costs $4.00 and adult ticket costs $7.00. How many of each ticket did she sell? A) Children’s ticket? B) Adult Ticket?
Let's define the following variables first.
A = number of tickets sold for adults
C = number of tickets sold for children
From the question, we can say that or form the following equations:
1. A + C = 790 tickets
2. $7A + $4C = $4, 390
The first equation can also be written as A = 790 - C. We can use this equation and replace "A" in the second equation.
[tex]7(790-C)+4c=4,390[/tex]From that, we can solve "C" by solving the equation formed above.
[tex]\begin{gathered} \text{Distribute 7 to the terms inside the parenthesis.} \\ 7(790)-7(C)+4C=4,390 \\ 5,530-7C+4C=4,390 \\ \text{Subtract 5,530 on both sides of the equation.} \\ -7C+4C=-1140 \\ -3C=-1140 \\ \text{Divide -3 on both sides.} \\ C=380 \end{gathered}[/tex]Therefore, 380 tickets for children were sold.
Since there are 790 tickets in total that are sold and 380 tickets for children were sold, we can say that 410 tickets for adult was sold.
[tex]\begin{gathered} A=790-C \\ A=790-380 \\ A=410 \end{gathered}[/tex]There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Answer:
Step-by-step explanation:
70+59+55+25+30+17=276
The probability that the person selected at random doesn't use any facility is 0.25
What is probability?The probability of an event can be mathematically said to be the number of required outcome divided by the number of possible outcomes.
From the question:
Total people in the sport centre=125Number of people that used all three facility=6Number of people that used only gym and pool=25-6=19Number of people that used only pool and track=39-6=24Number of people that used only gym and track=17-6=11Number of people that used only gym=59-(6+11+19)=26Number of people that used only pool=79-(6+19+24)=21Number of people that used only track=55-(6+11+24)=14Total number of people who used at least any of the three facilities=26+21+14+11+19+24+6=121
The number of persons that doesn't use any of the facility=125-121=4
Hence, the number of possible outcomes=4 and the probability that the person selected at random doesn't use any facility is 1/4 or 0.25
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