Answer:
x = 10; RS = 60
Step-by-step explanation:
RS + ST = RT
6x + 12 = 72
6x (+ 12 - 12) = 72 - 12
6x = 60
6x/6 = 60/6
x = 10
RS = 6x
RS = 6(10)
RS = 60
PLEASE HELP GIVING BRAINLIEST 52 POINTS!
During a tennis math Alice got 4/5 of her serves in. She served a total of 75 times How many of her first serves did Alice get in? A) 50 B) 55 C) 70 D) 60
Answer:
D) 60 servesStep-by-step explanation:
Total serves = 75Serves in = 4/5 of totalNumber of serves in:
75*4/5 = 60Correct choice is D
3. Ken mows lawns to earn money on the weekend. He mows 6 lawns evert 4 hours.
a) Which equation represents the relationship between lawas mowed m) and hours ?
h = 1.5m
bo
m = 1.5h
С
om = 4h
Answer:
m = 1.5h
Step-by-step explanation:
He can mow 1.5 lawns in an hour. So to find the amount of lawns mowed u would have to multiply 1.5 and the amount of hours.
Can someone find X for me
Answer:
30
Step-by-step explanation:
The sum of interior angles in this shape is equal to 360°
x + x + 5x + 5x = 360
12x = 360 divide both sides by 12
x = 30
What is the answer to this? :
(42 + 20)÷4 − 2·(9÷3) − 2·[18 + 3·(13 − 9) − 5]
hierarchy of operations
To solve the expression (42 + 20) ÷ 4 - 2 · (9 ÷ 3) - 2 · [18 + 3 · (13 - 9) - 5], we follow the hierarchy of operations known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
By applying this hierarchy, we can simplify the expression step by step to find the result.
Following the hierarchy of operations, we start by simplifying expressions within parentheses and brackets.
First, within the brackets, we evaluate the expression (13 - 9) which equals 4. Therefore, [18 + 3 · (13 - 9) - 5] becomes [18 + 3 · 4 - 5].
Next, we evaluate the multiplication within the brackets: 3 · 4 equals 12. Thus, [18 + 3 · 4 - 5] simplifies to [18 + 12 - 5].
Moving outside the brackets, we proceed with addition and subtraction: 18 + 12 equals 30, and 30 - 5 equals 25. Therefore, [18 + 12 - 5] becomes 25.
After simplifying the brackets, we can now evaluate the remaining expression: (42 + 20) ÷ 4 - 2 · (9 ÷ 3) - 2 · 25.
Within the parentheses, we perform addition: 42 + 20 equals 62. Thus, the expression becomes 62 ÷ 4 - 2 · (9 ÷ 3) - 2 · 25.
We continue by evaluating the division: 62 ÷ 4 equals 15.5. The expression now becomes 15.5 - 2 · (9 ÷ 3) - 2 · 25.
Next, we perform the division within the parentheses: 9 ÷ 3 equals 3. The expression becomes 15.5 - 2 · 3 - 2 · 25.
Finally, we evaluate the remaining multiplications: 2 · 3 equals 6, and 2 · 25 equals 50. The expression becomes 15.5 - 6 - 50.
Continuing with the subtraction, we have 15.5 - 6 equals 9.5. Therefore, the final result of the expression (42 + 20) ÷ 4 - 2 · (9 ÷ 3) - 2 · [18 + 3 · (13 - 9) - 5] is 9.5.
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Dan was thinking of a number. Dan subtracts 2.6 from the number and gets an answer of 72.8. Form an equation with
x
from the information.
Answer:
X-2.6=72.8
Step-by-step explanation:
The sum of two numbers is 15. The second number is 1 more than twice the first number
Answer:
x --- first number
y --- second number
x + y = 2x - 15
x - y = 2y - 5
x - 2x + y = -15
x - y - 2y = - 5
-x + y = -15
x - 3y = - 5
-----------------
-2y = -20 /:(-2)
y = 10
x - 3y = - 5 ⇒ x = - 5 + 3y = - 5 + 3 · 10 = - 5 + 30 = 25
Ans.:
x = 25
y = 10
how many volunteer hours do you need to get the silver cord at graduation at cypress bay high school
Note that a total of 250 volunteer hours is required to get the silver cord at graduation at cypress bay high school.
What is a silver cord in this context?
The Silver Cord program is a distinguished award available to high school students with the purpose of recognizing their out of school volunteer efforts.
Volunteer efforts are recognized within the context of theSilver Cord program to acknowledge and celebrate the contributions that high school students make to their communities through volunteer work.
By engaging in voluntary activities outside of school hours, students demonstrate their commitment to service, leadership, and making a positive impact on society,which aligns with the values promoted by the program.
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make w the subject of the formula Q=5w+1
Answer:
\( w = \dfrac{Q - 1}{5} \)
Step-by-step explanation:
Q = 5w + 1
Switch sides.
5w + 1 = Q
Subtract 1 from both sides.
5w = Q - 1
Divide both sides by 5.
\( w = \dfrac{Q - 1}{5} \)
To make w the subject of the formula Q=5w+1, subtract 1 from both sides and then divide both sides by 5 to solve for w.
Explanation:To make w the subject of the formula Q=5w+1, we need to isolate w on one side of the equation. Here are the steps:
Start with the equation Q=5w+1.Subtract 1 from both sides to isolate the term 5w.Divide both sides of the equation by 5 to solve for w. This will give you the value of w.By following these steps, you can make w the subject of the formula Q=5w+1.
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is this a function or not explain why
System A
6x-y=-5
-6x+y=5
System B
x+3y=13
-x+3y=5
O The system has no solution.
The system has a unique solution:
(x, y) = (
The system has infinitely many solutions.
The system has no solution.
The system has a unique solution:
(x, y) = (
O The system has infinitely many solutions.
Answer:
Step-by-step explanation:
6x-y=-5
-6x+y=5
Adding the 2 equations we have:
0 + 0 = 0
0 = 0
This means there are infinite solutions
- the equations are identical.
System B
x+3y=13
-x+3y=5
Adding:
6y = 18
y = 3.
x = 13 - 3(3) = 4.
The system has a unique solution
(x. y) = (4, 3).
Which number has a repeating decimal form?
A. sqrt{15
B. 11/25
C. 3/20
D. 2/6
Answer:
D It repeats
Step-by-step explanation:
square root of 15 is 3.87298334621
11/25= 0.44
3/20=.6
D = 0.33333333333
Which side of ADEF is the longest?
Answer:
B: EF
Step-by-step explanation:
This is a right triangle. In a right triangle there are always 2 legs and 1 hypotenuse. The hypotenuse is the side opposite the right angle and is always the longest side. Therefore, EF is the longest side.
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Find the measure of >ACH if m>EFH = (2x - 142)° and mzACH = (x + 16)°.
The measure of angle ACH is 3x - 126 degrees.we have expressed it in terms of x as 3x - 126 degrees.
To find the measure of angle ACH, we need to use the given information about angles EFH and ACH.
Given: mEFH = (2x - 142)° and mACH = (x + 16)°.
We know that angles EFH and ACH are adjacent angles, meaning they share a common vertex and a common side. The sum of the measures of adjacent angles is equal to the measure of the larger angle formed by their non-common sides.
So, we have the equation:
mEFH + mACH = m>ACH
Substituting the given angle measures, we have:
(2x - 142) + (x + 16) = m>ACH
Combining like terms, we get:
3x - 126 = m>ACH
Therefore, the measure of angle ACH is 3x - 126 degrees.
Please note that without knowing the specific value of x, we cannot determine the exact measure of angle ACH. However, we have expressed it in terms of x as 3x - 126 degrees.
If you are given a specific value for x, you can substitute it into the expression 3x - 126 to find the measure of angle ACH.
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13. Find the measure of ∢1.
The measure of ∢1 is 40 degrees.
What is the measure of angle?
The measure of an angle is a numerical value that represents the amount of rotation of one ray around a common endpoint, called the vertex, compared to another ray. The measure of an angle is usually measured in degrees (°).
The measure of an angle can be found by using the following formula:
Measure of ∢1 = 180 - (measure of ∢2 + measure of ∢3)
In this case, we are given the measures of ∢2 and ∢3:
∢2 = 102 degrees
∢3 = 38 degrees
So, we can substitute these values into the formula:
Measure of ∢1 = 180 - (102 + 38) = 180 - 140 = 40 degrees
Therefore, the measure of ∢1 is 40 degrees.
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GIVING BRAINLIEST! PLS SHOW WORK!!
Answer:
30
Step-by-step explanation:
all traiangles have to same vetec
Answer:
Since the angle on the top is a 90 degree as you might have noticed.
And the other angle is 30 degrees.
Then the last angle should be 60 degrees.
(Because every angle in a triangle should add up to 180 degrees)
I don't know about the measure of the sides tho.
Hope that helps !
How are the original coordinates related to the coordinates after the translation?
Answer:
When you perform translations, you slide a figure left or right, up or down. This means that on the coordinate plane, the coordinates for the vertices of the figure will change.
To graph a translation, perform the same change for each point.
You can identify a reflection by the changes in its coordinates. In a reflection, the figure flips across a line to make a mirror image of itself. Take a look at the reflection below.
Figures are usually reflected across either the
x−
or the
y−
axis. In this case, the figure is reflected across the
y−
axis. If you compare the figures in the first example vertex by vertex, you see that the
x−
coordinates change but the
y−
coordinates stay the same. This is because the reflection happens from left to right across the
y−
axis. When you reflect across the
x−
axis, the
y−
coordinates change and the
x−
coordinates stay the same. Take a look at this example.
In the figure above the coordinates for the upper-left vertex of the original figure are (-5, 5). After you reflect it across the
x−
axis, the coordinates for the corresponding vertex are (-5, -5). How about the lower-right vertex? It starts out at (-1, 1), and after the flip it is at (-1, -1). As you can see, the
x−
coordinates stay the same while the
y−
coordinates change. In fact, the
y−
coordinates all become the opposite integers of the original
y−
coordinates. This indicates that this is a vertical (up/down) reflection or a reflection over the
x−
axis.
In a horizontal (left/right) reflection or a reflection over the
y−
axis, the
x−
coordinates would become integer opposites. Let’s look at an example.
This is a reflection across the
y−
axis. Compare the points. Notice that the
y−
coordinates stay the same. The
x−
coordinates become the integer opposites of the original
x−
coordinates. Look at the top point of the triangle, for example. The coordinates of the original point are (-4, 6), and the coordinates of the new point are (4, 6). The
x−
coordinate has switched from -4 to 4.
You can recognize reflections by these changes to the
x−
and
y−
coordinates. If you reflect across the
x−
axis, the
y−
coordinates will become opposite. If you reflect across the
y−
axis, the
x−
coordinates will become opposite.
You can also use this information to graph reflections. To graph a reflection, you need to decide whether the reflection will be across the
x−
axis or the
y−
axis, and then change either the
x−
or
y−
coordinates.
The new coordinates form an equation with the original coordinate and the units of translation.
What is Transformation?Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.
Rotation is a type of transformation of an object on an x-y plane, when an object is turned clockwise or anticlockwise by a certain angle, the object is said to be rotated.
The coordinate (x,y) changes to ( y, -x).
Reflection is to create a mirror image of the coordinate or the figure.
Dilation is to compress or enlarge the image by a scale factor.
The translation is to shift the coordinate or the figure, to the left, right, up, or down.
Let the original coordinates be ( x, y)
Then if the coordinates are translated by 2 units to the right and 2 units up, the new coordinates are:
( x+2, y+2)
The new coordinates are = Original coordinates ± Translation units.
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1. What is the wavelength of a radio wave broadcast at 150 MHz?
The value of the wavelength will be equal to 2 meters.
It is given that a radio is broadcasting at 150 MHz .
We have to calculate the wavelength.
What is the formula for wavelength ?
The wavelength is given by L = c/f , where c = speed of wave and f is the frequency of wave.
∵ L = c/f
Let's assume c = 3 × 10^8
Given that frequency (f) is 150 MHz .
Wavelength (L) is approximately ;
L= (3 × 10^8 )/ (150,000,000)
L= 2 meters
Thus, the wavelength of a radio wave broadcast at 150 MHz will be equal to 2 meters.
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Question 7
2 pts
In a integer optimization problem with 5 binary variables, the maximum number of potential solutions is:
32
125
25
10
Question 8
The correct answer is 32.
In an integer optimization problem with binary variables, each variable can take one of two possible values: 0 or 1. Therefore, for 5 binary variables, each variable can be assigned either 0 or 1, resulting in 2 possible choices for each variable. The maximum number of potential solutions in an integer optimization problem with 5 binary variables is 32 because each binary variable can take on 2 possible values (0 or 1)
In this case, we have 5 binary variables, so the maximum number of potential solutions is given by 2 * 2 * 2 * 2 * 2, which simplifies to 2^5. Calculating 2^5, we find that the maximum number of potential solutions is 32.
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C. A store window has a perimeter of 18 feet. The width
is 6 feet. Find the length and the area.
211 +18).
Solve by the substitution method
2x + 9y=41
- 4x + y=13
Answer:
x=-2, y=5. (-2, 5).
Step-by-step explanation:
2x+9y=41
-4x+y=13
---------------
2(2x+9y)=2(41)
-4x+y=13
-----------------------
4x+18y=82
-4x+y=13
------------------
19y=95
y=95/19
y=5
2x+9(5)=41
2x+45=41
2x=41-45
2x=-4
x=-4/2=-2
a) −
1
2 ∈ Z b) 5 ∈ N c) 3,1(4) ∈ (R − Q) d) √17 ∈ R
e) −
√64
4 ∈ Z f)ඥ0,36 ∈ Q
Answer:
what sorry
Step-by-step explanation:
can you please mark me as brainlist please
Find the missing value required to create a probability
distribution, then find the mean for the given probability
distribution. Round to the nearest hundredth.
x / P(x)
0 / 0.03
1 / 0.18
2 / 0.15
3
2.4 is the mean for the given probability distribution.
To find the missing value required to create a probability distribution, we need to add the probabilities given for x = 0, 1, and 2. The sum of these probabilities is equal to 0.03 + 0.18 + 0.15 = 0.36.
The probability of x = 3 can be found by subtracting the sum of the probabilities for x = 0, 1, and 2 from 1. Therefore,
P(x = 3) = 1 - 0.36 = 0.64
Now, we can create the complete probability distribution as follows:
x / P(x)
0 / 0.03
1 / 0.18
2 / 0.15
3 / 0.64
To find the mean for the given probability distribution, we use the formula:
μ = Σ(x * P(x))
where Σ represents the sum of the products x * P(x) for all possible values of x. We can use the table above to calculate the sum as follows:
μ = (0 * 0.03) + (1 * 0.18) + (2 * 0.15) + (3 * 0.64)
μ = 0 + 0.18 + 0.3 + 1.92
μ = 2.4
Therefore, the mean for the given probability distribution is 2.4 (rounded to the nearest hundredth).
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Members of the math club held a bake sale to raise money. Cupcakes and cookies were sold.
Cupcakes were sold for $2 each.
Cookies were sold for $1.50 each.
The members sold a total of 285 items.
Of the items sold, 23
2
3
were cupcakes and the remaining items were cookies.
How much money did the math club members raise from the cookies that were sold?
Answer:
Cupcake
Step-by-step explanation:
Because the sale price is bigger
The cost of 2 jackets and 3 dresses is £46. The cost of 2 jackets and 4 dresses is £54. How much does 1 dress cost?
Answer:
£11
Step-by-step explanation:
Let cost of jackets : x, DRESSES: y.
ATP,
2x+3y = 46 ...(1)
2x + 4y = 54 ...(2)
From 1, we get x = (46-3y)/2
By Substitution in (2), we get:
2(46-3y)/2 +4y = 54
=> 46-3y+4y= 54
=> x = 8
Thus, 1 dress cost: 46-3*8/2 = 46-24/2 =22/2 = £11
The rim of the volcanic crater shown below is a circle. The diameter is 840 m.
What is the circumference of the rim of the crater in kilometres (km)?
Give your answer to 1 d.p.
840 m
Not drawn accurately
Answer:
2.6 kilometers
Step-by-step explanation:
To find the circumference of a circle, we can use the formula:
Circumference = π * diameter
Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:
Circumference = π * 840
Using the approximate value of π as 3.14159, we can calculate the circumference:
Circumference = 3.14159 * 840
Circumference ≈ 2643.1796 meters
To convert the circumference to kilometers, we divide the value by 1000:
Circumference in kilometers = 2643.1796 / 1000
Circumference ≈ 2.6432 kilometers
Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).
The Nut Shack sells hazelnuts for $6.50 per pound and peanuts nuts for $4.70 per pound. How much of each type should be used to make a 36 pound mixture that sells for $5.40 per pound?Round answers to the nearest pound.
Given:
Hazelnuts sells for $6.50/pound and peanuts nuts sells for $4.70/pound
Let the number of pounds of Hazelnuts be x and the number of pounds of peanut nuts be y
The company wants a 36 pound mixture. We can write this mathematically as:
\(x\text{ + y = 36}\)The mixture sells for $5.40 per pound. We can write this mathematically as:
\(\begin{gathered} 6.50x\text{ + 4.70y = 5.40}\times\text{ 36} \\ 6.50x\text{ + 4.70y = }194.4 \end{gathered}\)Solving the equations simultaneously using a graphical approach.
Using a graphing tool, the graph of the equations is shown below:
The point of intersection of the lines is (14, 22)
We can conclude that the company would need 14 pounds of
Find 131.2% of 477. Round to the nearest tenth.
131.2(477)=62,582.4 is the answer you're looking for
Write the number 45.621 correct to the nearest whole number.
45.621 rounded to the nearest whole number is 46.
I hope this helsp; please mark me brainliest!
Have a great day!
Answer:
45.621 to the nearest whole number is 46
What would be the new ordered pair for point Q' given the following rule for the transformation?
(x,y)----}(-x,y)
Q=(-5, 7)
Answer:
The new ordered pair for point Q' are: Q' (5, 7)
Step-by-step explanation:
Q = (-5, 7)
The rule of translation is:
(x, y) → (-x,y)
According to this rule, the value of x is multiplied by -1, and the value of y remains the same.
Thus,
P(x, y) → P'(-x,y)
Q (-5, 7) → Q' (-(-5), 7) → Q' (5, 7)
Thus, the new ordered pair for point Q' are: Q' (5, 7)