We can do the following steps to solve the equation.
Step 1: We apply the distributive property. For this, the number outside the brackets is multiplied by everything that is inside the brackets.
Then, we have:
\(\begin{gathered} \frac{5}{4}(x-\frac{8}{5})=13 \\ \frac{5}{4}\cdot x-\frac{5}{4}\cdot\frac{8}{5}=13 \\ \frac{5}{4}x-\frac{5\cdot8}{4\cdot5}=13 \\ \frac{5}{4}x-\frac{8}{4}=13 \\ \frac{5}{4}x-2=13 \end{gathered}\)Step 2: We add 2 from both sides.
\(\begin{gathered} \frac{5}{4}x-2=13 \\ \frac{5}{4}x-2+2=13+2\rbrack \\ \frac{5}{4}x=15 \end{gathered}\)Step 3: We multiply by 4 from both sides.
\(\begin{gathered} 4\cdot\frac{5}{4}x=15\cdot4 \\ 5x=60 \end{gathered}\)Step 4: We divide by 5 from both sides.
\(\begin{gathered} \frac{5x}{5}=\frac{60}{5} \\ x=12 \end{gathered}\)Therefore, the value of x is 12.
The blue object (D) has been rotated 270° clockwise about the point (1, 2). Which is the correct image?
The correct image include the following: B. Green: image A.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.
In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.
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A coin is flipped 50 times and shows heads on 22 occasions. Calculate the relative frequency of the coin showing heads.
0.44
22
50
0.5
Answer:
The relative frequency of a coin showing heads is calculated by dividing the number of heads by the total number of coin flips.
In this case, the number of heads is 22 and the total number of coin flips is 50.
So the relative frequency of the coin showing heads is:
22/50 = 0.44
Therefore, the correct answer is 0.44.
ingredients: f(6)-20 = (?)cups of sugar. use f(x) = x² - 2x - 3
Answer:-18 mm sugar
Step-by-step explanation:
Thanks me later
On a map, 1 inch equals 20 miles. Of two cities are 3 inches apart on the map, how far are they actually apart?
Answer:
60 miles
Step-by-step explanation:
Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.
3x20=60
Help with this question pls?
Step-by-step explanation:
Hope this helps.
If you reflect in the y-axis, it would look like the following.
The area of a square garden is 100 square meters.
a. Find the length of each side of the garden.
? m area = 100 m2
b. Find the perimeter of the garden.
Please help
Answer:
a. The length of each side of the garden is 10 m.
b. The perimeter of the garden is 40 m.
Step-by-step explanation:
A square is a regular polygon with four sides. The area of a square is given by the formula
\(Area = width \cdot height\)
But since the width and height are by definition the same, the formula is usually written as
\(Area = s^2\)
where s is the length of one side.
a. To find the length of each side of the garden we know that the area is 100 \(m^2\) applying the area formula and solving for s, the length of one side, we get that
\(100=s^2\\\\s^2=100\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\s=\sqrt{100},\:s=-\sqrt{100}\)
The length can't be negative. Therefore, \(s=\sqrt{100}=10\)
b. In the case of a square, all four sides are the same length, so the perimeter is four times the length of a side. Or as a formula:
\(Perimeter = 4s\)
where s is the length of any one side.
We find that the length of each side is 10 m. Therefore, the perimeter is
\(Perimeter = 4s\\\\Perimeter =4 \cdot 10 = 40 \:m\)
PLEASE HELP AND ANSWER FAST I NEED HELP IF YOUR CORRRECT YOU GET BRAINLIST
A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.
Type of Transportation Number of Visitors
Walk 120
Bicycle 24
Car Service 45
Bus 30
Subway 81
Which of the following circle graphs correctly represents the data in the table?
circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 20 percent, car service 30 percent, bus 16 percent, and walk 54 percent
Answer:
The second circle graph, labeled "New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent" correctly represents the data in the table.
Step-by-step explanation:
The correct circle graph would have five sections labeled walk, bicycle, car service, bus, and subway, with each section representing the percentage of visitors who used that mode of transportation.
To find the percentage for each mode of transportation, we need to calculate the total number of visitors:
Total number of visitors = 120 + 24 + 45 + 30 + 81 = 300
Now we can calculate the percentage of visitors for each mode of transportation:
Walk: 120/300 x 100% = 40%
Bicycle: 24/300 x 100% = 8%
Car Service: 45/300 x 100% = 15%
Bus: 30/300 x 100% = 10%
Subway: 81/300 x 100% = 27%
Therefore, the correct circle graph would have the following sections and percentages:
Walk: 40%
Bicycle: 8%
Car Service: 15%
Bus: 10%
Subway: 27%
Answer: New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
Step-by-step explanation: i jus did it
Help me solve this equation!!!!!
Answer:
\(2x^{2} = 128\)
I hope this helps!
Elena is flying a kite shown. Use the measurements to find how long the kite string is.
Answer:
14 feet
Step-by-step explanation:
A rectangular garden is fenced on all sides with 258 feet of fencing. The garden is 7 feet
longer than it is wide. Find the length and width of the garden.
(w + 7) feet
w feet
The length of the garden is
feet.
The width of the garden is
feet.
Answer:
L = w + 8
P = 2L + 2w
256 = 2 (ancho + 8) + 2w
256 = 2 vías + 16 + 2 vías
256 = 4 semanas + 16
240 = 4w
w = 60
La longitud es 60 + 8 = 68
el ancho es 60
Select the correct answer from each drop-down menu.If /(=) = 0.522 - 2 and g(a) = 853 + 2, find the value of the following function..(1 - 9)(=) =55[3 +22
In general,
\((f\cdot g)(x)=f(x)\cdot g(x)\)Therefore, in our case,
\((f\cdot g)(x)=(0.5x{}^2-2)(8x^3+2)=4x^5-16x^3+x^2-4\)The answer is 4x^5-16x^3+x^2-4. Select 4, 16, 1, 4 (left to right)All the Real cube roots of 216
Solve polynomials 7/5 + 3/4 × 2 / 5-3 / 2
Answer:
Step-by-step explanation:
7/5 + 3/4 x 2/5 - 3/2
7/5 + 3/10 - 3/2
17/10 - 3/2
1/5
Step-by-step explanation:
Here, the given polynomial are,
=7/5+3/4×2/5-3/2
multiplying 3/4 and 2/5
= 7/5+6/20-3/2
taking LCM and adding them.
=(7×4+6×1-3×10)/20
by simplifying it we get, the answer is 1/5.
Hope it helps..
If Jonny was 21 years old . He is 3 times as old as Becky determined Becky’s age
Answer:
Becky is 7 years old.
Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.
Answer:
Becky's 7 seven years old
Step-by-step explanation:
If 21 = 3x
x = 21/3
x = 7
Hope this helps :)
Pls brainliest...
Find tan (R)
A. 5/13
B. 12/5
C. 12/13
D. 5/12
The value of the tangent function at R is,
tan (R) = 5/12
Given a right angled triangle RST.
The sides are given as,
RS = 13, which is the hypotenuse.
ST = 5
RT = 12
Tangent function is defined as the ratio of opposite side to adjacent side.
Tan (R) = ST / RT
= 5/12
Hence the correct option is D.
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which number line represents the solution set for the inequality ? HELP PLEASE
Step-by-step explanation:
if you need any explanation you can ask
Find the distance from A(15,21) to the line 5x +2y=4. Round your answer to the nearest tenth
Answer:The distance from a point to a line is
distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)
So first convert the formula for the line to standard form
5x+2y=4
5x+2y-4=0
a=5, b=2, c=-4, x0=15, y0=-21
Step-by-step explanation:
Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.
Two triangles are similar if they have the same ratio of corresponding sides and equal pairs of corresponding angles.
If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures. Consider a hula hoop and the wheel of a cycle, the shapes of both these objects are similar to each other as their shapes are the same.
Triangle is a three-sided polygon. The condition for the similarity of triangles is;
i) Corresponding angles of both the triangles are equal, and
ii) Corresponding sides of both the triangles are in proportion to each other.
Properties of the triangle:
1-Both have the same shape but sizes may be different
2-Each pair of corresponding angles are equal
3-The ratio of corresponding sides is the same
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need help asap please
Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.
How to explain the strategies usedMary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.
Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.
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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.
50 Points! Multiple choice algebra question. Photo attached. Thank you!
The angle θ = 90° is not a solution to trigonometric equation sin 2θ = 1. (Right choice: A)
How to solve a trigonometric equation
In this problem we must determine what angle is not a solution of a given trigonometric equation. The solution set is found by means of algebra properties and trigonometric formulas:
sin 2θ = 1
2θ = 90° + 360° · i, where i is a whole number.
θ = 45° + 180° · i
According to this expression, θ₁ = 45°, θ₂ = 225° and θ₃ = - 135° are solutions to this equation. θ = 90° is not a solution of sin 2θ = 1.
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Multiply. Express your answer in simplest form.
5/9 x 3/10
Answer:
5/9 x 3/10 = 15/90 as simplified as 1/6 in fraction form.
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
We have,
To multiply fractions, we multiply the numerators together and the denominators together.
The resulting fraction is then simplified to its simplest form.
Let's multiply 5/9 by 3/10:
(5/9) x (3/10) = (5 x 3) / (9 x 10) = 15/90
To simplify the fraction 15/90, we can divide both the numerator and denominator by their greatest common divisor, which is 15:
15/90 = (15 ÷ 15) / (90 ÷ 15) = 1/6
Therefore,
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
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Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell’s method for collecting his data?
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Rodell needs a larger sample size than two sports teams to represent a whole school.
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Rodell’s polling method only included fall and winter sports; he should have also included a spring sport like baseball.
Using sampling concepts, it is found that the due to bias, the correct option is given by:
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Why is Rodell's sample biased?The school is composed both by athletes and non-athletes, which should have different gaming apps, for example, athletes may be more likely to play sports games while non-athletes may favor RPG for example.
He surveys only athletes, hence, the correct option is:
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
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Answer:
The correct answer is (A):
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Step-by-step explanation:
I did the quiz and got it right. Hope this helps you!!!!!
Solve the equation by completing the square. Round your solutions to the nearest hundredth if necessary. x^2+2x=5
Answer: The correct answers are -3.45 and 1.45
Step-by-step explanation: The only problem you had was you rounded it to the tenths place instead of the hundredths place.
Sorry for getting back to you late.
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
Start are cooler when in the color Red.
Step-by-step explanation:
Answer:
the answer would be red
Step-by-step explanation:
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. (10 points)
MARKING BRINLIEST AND GIVING A LOT OF POINTS PLSSSS HELP
The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.
Total number of Outfit Combinations:
There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.
No of favourable options:
As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .
Probability = Number of favourable outcomes/Total no. of combinations
Probability = 1/8
Probability = 0.125 or 12.5%
Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
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The customer service department of a company found that the relationship between the number of minutes a customer spends on hold when telephoning and the customer's level of satisfaction on a 10-point scale can be approximated by the equation y=10−0.1x
, where x
is the number of minutes on hold and y
is the level of satisfaction. What does 0.1 represent in the equation?
In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.
Define slopeit represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.
In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.
In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.
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Use the given zero to find the remaining zeros of the polynomial function.
P(x) = 2x3 − 5x2 + 6x − 2; 1 + i
Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.
What is the polynomial function?If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.
To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:
2x^2 - 3x + 2
P(x) = --------------
(x - 1 - i)(x - 1 + i)
Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:
x = [3 ± sqrt(9 - 4*2*2)] / (2*2)
= [3 ± sqrt(1)] / 4
= 1/2 or 2
Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.
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What percent is modeled below?
An image shows a 10 by 10 grid where the squares in the first three columns and half of the squares in the fourth column are shaded.
A. 25%
B. 35%
C. 45%
D. 65%
Answer:
B
Step-by-step explanation:
3*10=30
1/2 of 10=5
30+5=35
write a real-world situation that could be modeled by the equation 8+2x=6x. Then solve the problem.
Answer:
x = 2
Step-by-step explanation:
8 = 6x + -2x
8 = 4x
8 = 4x
4 4
2 = x
There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answer:
5
Step-by-step explanation: