Answer:
-96/7x or 13.714x
Step-by-step explanation:
-4/7+ 2/7x - 14x+4/7
first we do
4/7-4/7 which is zero, so we can cancel those out.
then we do
2/7x-14x ( or you can do -14x+2/7, it’s the same thing
use your calculator to make this easier. if you look you’ll be able to find a fraction button on most
after we do 2/7x-14x , we get -96/7x
if you want it in a fraction just divide and you’ll get -13.714x
Please find me the value of x
Answer:
x = 60°
Step-by-step explanation:
See picture below. When two parallel lines are cut by a transversal there are some special relationships.
Answer:
x = 60°
Step-by-step explanation:
∠ ABO and ∠ CBO are a linear pair and sum to 180° , that is
∠ ABO + ∠ CBO = 180°
150° + ∠ CBO = 180° ( subtract 150° from both sides )
∠ CBO = 30°
∠ XYO and ∠ CBO are alternate angles and are congruent , so
∠ XYO = 30°
∠ XOY and ∠ COY are a linear pair and sum to 180° , then
∠ XOY + ∠ COY = 180°
∠ XOY + 90° = 180° ( subtract 90° from both sides )
∠ XOY = 90°
the sum of the 3 angles in Δ XOY = 180° , that is
x + 90° + 30° = 180°
x + 120° = 180° ( subtract 120° from both sides )
x = 60°
Hey i needed help with this scale factor
Which ordered pairs make the open sentence true?
4x+y>9
Answer:
Step-by-step explanation:
let x = 5, y = 0
so the equation is 4x+y>9
and put the value of x and y in the equation
4 (5) + 0 > 9
20 + 0 > 9
20 > 9, therefore the order pair ( 5,0) satisfies the condition. true
Henry predicted whether he got answers right or wrong in his 50 question exam.
he identified the 37 questions he thought he got right.
it turns out that henry got 5 questions wrong that he thought he got correct and he only got 3 of the questions wrong he had predicted.
what is the percentage accuracy he had with predicting his scores?
The percentage accuracy he had with predicting his scores is 90%.
Here,
Given that;
Henry predicted whether he got answers right or wrong in his 50 question exam. That is,
In total, there are 50 questions.
Of the ones he got right, he identified 30 right.
Of the ones he got wrong, he identified 15 correctly.
We have to find; the percentage accuracy he had with predicting his scores.
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100.
Now,
The percentage of a relative to b is given by:
In total, there are 50 questions.
Of the ones he got right, he identified 30 right.
Of the ones he got wrong, he identified 15 correctly.
Hence, since he identified 45 out of 50 correctly:
[tex]P = \frac{x}{y} *100[/tex]
[tex]P = \frac{45}{50} *100[/tex]
[tex]P = 90[/tex]
So,
The percentage accuracy he had with predicting his scores is 90%.
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Solve the equation t − 3 = 17 for t.
Answer:
t = 20
Step-by-step explanation:
add 3 to both sides to isolate t:
t = 17 + 3
t = 20
Answer: t= 20
Step-by-step explanation:
Write 7 1/2 as a decimal number.
Answer:
First, We convert it to an improper fraction
which in this case, is 15/2
Found by Multiplying the whole number (7) with the denominator (2) and adding it with the numerator (1)
After that Use the same denominator to get 15/2
and then we divide the new numerator (15) by the denominator (2_ to get our answer.
which is, 7.5.
All Done!
Answer:
7.5
Step-by-step explanation:
Turn into an improper fraction.
2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 1/2 = 15/2
Divide 15 by two.
7.5
Prime Factorization
36=
48=
Answer:
36=3×2×2×3
48=2×2×2×2×3
Explanation:
Step 1: Divide the given number by the smallest prime number.
36/3=12. (1)
48/2=24. (2)
Step 2: Again, divide the quotient by the smallest prime number.
12/2=6. (1)
24/2=12. (2)
Step 3: Repeat the process, until the quotient becomes 1.
6/2= 3. (1)
12/2=6 (2)
3/3=1 (1)
6/2=3 (2)
3/3=1. (2)
Step 4: Finally, multiply all the prime factors.
36=3×2×2×3
48=2×2×2×2×3
Answer:
36 = 2 × 2× 3 ×3
48 = 2 × 2× 2 × 2 ×3
Step-by-step explanation:
An artist plans to sell $300 of prints online each week. This month, she is within $22 of her goal.
Part A: Define a variable and write an absolute value equation to represent the scenario.
Part B: Solve the equation, showing all steps.
Part C: What are the minimum and maximum amounts that the artist received for her products?
Answer:
A) |x - 1200| = 22
B) x = 1222, x = 1178
C) Minimum = $1,178
Maximum = $1,222
Step-by-step explanation:
Part ADefine the variable:
Let x = revenue from prints sold this month.Given information:
The artist plans to sell $300 of prints each week.This month, she is within $22 of her goal.If the artist plans to sell $300 of prints each week, then she plans to sell approx $1200 of prints each month, since there are approximately 4 weeks in each month.
If she is within $22 of her goal, this month then:
⇒ |x - 1200| = 22
Part BTo solve an equation containing an absolute value, set the contents of the absolute value equal to both the positive and negative value of the number on the other side of the equation, then solve both equations:
Equation 1
⇒ x - 1200 = 22
⇒ x - 1200 + 1200 = 22 + 1200
⇒ x = 1222
Equation 2
⇒ x - 1200 = -22
⇒ x - 1200 + 1200 = -22 + 1200
⇒ x = 1178
Part CTherefore:
Minimum amount the artist received = $1,178Maximum amount the artist received = $1,222Parallelogram WXYZ is shown on the coordinate plane.
Parallelogram W’X’Y’Z’ (not shown) is the reflection of parallelogram WXYZ across the y-axis. Which statement is true?
W'X' is parallel to W'Z'
W'X' is parallel to Z'Y'
W'X' is perpendicular to W'Z'
W'X' is perpendicular to Z'Y'
The reflection transformation of the given diagram means that; W' X' is parallel to Z' Y'
How to Interpret Transformation Reflection?
Reflection over y-axis is a reflection or flip over the y-axis where the y-axis is the line of reflection used. The formula for this is: (x,y) →(−x,y) ( x , y ) → ( − x , y ) .
To reflect an equation over the y-axis, simply multiply the input variable by -1: y=f(x)→y=f(−x) y = f ( x ) → y = f ( − x )
Thus, looking at the given image and applying the transformation rule above, we can say that the reflection of parallelogram WXYZ across the y-axis would mean that W' X' is parallel to Z' Y'
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6. The formula for the perimeter of a
rectangle is P = 2L + 2W.
a. Solve the equation for W.
b. Using your equation in a, find the width of a
rectangle that has a perimeter of 244 inches
and a length of 59 inches.
Step-by-step explanation:
work is shown and pictured
Is the expression (5x5)^3 equivalent to 5x5^3
Answer:
No.
Step-by-step explanation:
The order of operations in both problems are different, giving two very different results. Therefore, they are unequal.
Expand and simplify
(x + 1)(x + 2)(x + 3)
The midpoint of KL is (7,3). One endpoint is K (4,1), what is the coordinate for the
other endpoint L?
The area A of a rectangle with dimensions 4x and 5 is described with the inequality 100 ≤ A ≤ 1,000.
Select the compound inequality for the area written in terms of x.
OA. 100 ≤ 10+ 8x ≤ 1,000
OB. 100 ≤ 18x ≤ 1,000
O C. 100 ≤ 9x ≤ 1,000
OD 100 ≤ 20x ≤ 1,000
The compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.
We know that, the area of rectangle is given by:
Area = Length × Breadth
Now, we will substitute the values of length as 4x and breadth as 5 in the formula:
= 4x × 5
= 20x
Now. we will substitute this value in the inequality 100 ≤ A ≤ 1,000 to get the compound inequality:
100 ≤ 20 x ≤ 1,000.
Therefore, the compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.
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Need the answer please
Answer:
5
Step-by-step explanation:
This uses the Pythagorean theorem ([tex]f^2 + g^{2} =h^2[/tex]). So you would take your values 3 and 4 and plug them into the equation. [tex]3^2+4^2=h^2[/tex]. This becomes [tex]9+16=h^2[/tex]. Simplify and this becomes [tex]25=h^2[/tex]. If you take the square root of both sides you will end with 5 = h. Therefore your answer is 5.
Answer:
H=5
Step-by-step explanation:
Since it's a right triangle, you can use the Pythagorean Theorem which is [tex]a^2 + b^2 = c^2[/tex] or in this case: [tex]f^2 + g^2 = h^2[/tex]
Substitute 3 in for f and 4 in for g: [tex]3^2 + 4^2 = h^2[/tex]
Add 9 and 16 together, it's 25 and then find the square root of 25 and the square root of h and the answer is 5
[tex]f^2 + g^2=h^2\\3^2 + 4^2 = h^2\\9 + 16 = h^2\\25 = h^2\\\sqrt25 = \sqrt h^2\\5 = h[/tex]
GOOD LUCK! :)
A business has a budget of $480 to spend on their marketing campaign. Each month, x, the business spends $30 on different advertisements. The amount of money remaining in the budget for marketing can be modeled by the function M(x) = −30x + 480. Based on the graph of the linear function M(x) and the context of the problem, what is the domain?
[0, ∞)
[0, 16)
[0, 480]
ℝ
This shows that a reasonable domain for this function is [0, 16)
Domain of a functionThe domain of a function is a value of the independent variable of the function for which it exists.
Given the equation below:
M(x) = −30x + 480
Since the function represents the The amount of money remaining in the budget for marketing then the function f(x) must be greater than zero;
−30x + 480 > 0
-30x> -480
x < 480/30
x < 16
This shows that a reasonable domain for this function is [0, 16)
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order these following rational numbers from least to greatest:
3.4 -0.01 1/4 12% -26.1
Answer:
3.4, 1/4, 12%, -0.01, -26.1
Step-by-step explanation:
The simplest way to do these type of problems is to convert all of the numbers into either a fraction, decimal, or a percentage. In my opinion, it is easier to use a percentage here.
12% is already a percentage
-0.01 = -1%
1/4 = 25%
3.4 = 340%
-26.1 = -2610%
Now that the rational numbers are all in the same unit, it is easier to sort them. In the end, we get this list (from greatest to least):
3.4, 1/4, 12%, -0.01, -26.1
FINAL ANSWER: 3.4, 1/4, 12%, -0.01, -26.1
HELPPPPPPPP PLEASEE
Answer:
35 x 30 X 27 x 30 is equal to your answer
Use the diagram to the right to complete the statement.
Answer:
∠ GOF = 53°
Step-by-step explanation:
∠ LON and ∠ GOF are vertically opposite angles and are congruent, then
∠ GOF = 53°
Find the area of the parallelogram shown below
44
55
47
Must show your work. This should be fun for you.
A drawer contains 12 yellow
highlighters and 8 green highlighters. Determine
whether the events of selecting a yellow highlighter
and then a green highlighter with replacement are
independent or dependent. Then identify the
indicated probability.
It is a independent event. The probability is 6/25.
What is an independent event?An independent event is an event whose occurrence are random event. There is no relationship between picking a yellow highlighter and then a green highlighter.
What is the probability?
Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability of picking a yellow highlighter and then a green highlighter = (number of yellow highlighters / total number of highlighters) x = (number of green highlighters / total number of highlighters)
(12 / 20) x (8 /20) = 6/25
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FH bisects ZEFG. Find the indicated angle measures.
m/GFH=71 °. Find m/EFH and m/EFG.
m/EFH=
m/EFG=
O
O
The measure of angle EFH, m ∠EFH is 71°
The measure of angle EFG, m ∠EFG is 142°
Calculating angles
From the question, we are to determine the measure of angle EFH and angle EFG
From the given information, we have that
FH bisects ∠EFG.
Thus, we can write that
m ∠EFH = m ∠GFH
From the given information,
m ∠GFH = 71°
∴ m ∠EFH = 71°
Also,
Since FH bisects ∠EFG
Then,
m ∠EFH + m ∠GFH = m ∠EFG
71° + 71° = m ∠EFG
142° = m ∠EFG
m ∠EFG = 142°
Hence, the measure of angle EFH, m ∠EFH is 71°
The measure of angle EFG, m ∠EFG is 142°
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what is r-0.2r when r equals the regular price of a cd player, which is equalivent to this expression.
(please answer step by step)
0.1r
0.8r
0.9r
1.2r
please
help
Answer:
0.8r
Step-by-step explanation:
r - 0.2r = 1r - 0.2r = (1 - 0.2)r = 0.8r
Answer:
0.8r
Step-by-step ex
took test
Twice a number minus 4 equals twelve. Find the #
answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
Answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
luna wants to sell a Tshirt
In her shop making a profit of
25%
if the cost of the Tshirt
is 100$, in the same time
the customer will have a discut
of 30%, what shall she put
on a Sale Tag
Answer:
Price: $178.57
30% off: -$53.57
Sale Price: $125.00
Step-by-step explanation:
She buys each shirt for $100.
She wants to make a profit of 25%.
25% of $100 = 0.25 × $100 = $125
She must sell the shirt at $125.
She wants to mark the shirt at a higher price than $125, so that after the 30% discount, she will still sell it for $125.
Call the higher price x.
x - 30% of x = 125
x - 0.3x = 125
0.7x = 125
x = 125/0.7
x = 178.57
The sale tag can read:
Price: $178.57
30% off: -$53.57
Sale Price: $125.00
300000 + 3524142532 =
Answer:
3524442532 or 3.524442532 * 10 ^9
Step-by-step explanation:
A new yo-yo factory is operating at 80 percent
of capacity and produces 4,000 yo-yos daily.
when the factory reaches 100 percent of
capacity, how many yo-yos should be
produced each day?
a.
800
b. 3,200
c. 4,800
d. 5,000
e. 7,200
The length of a rectangle is 3 cm longer than its width.
If the perimeter of the rectangle is 58 cm, find its length and width.
The length and width of the given rectangle is 16cm and 13cm.
What is a rectangle?A rectangle is a quadrilateral with four right angles in Euclidean plane geometry. It can also be defined as an equiangular quadrilateral because all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.Formula of perimeter of a rectangle: 2(l+b)
Let, width be 'x' then length will automatically be 'x+3'.
Now, put the values in the formula:
P = 2(l+b)58 = 2(x+3+x)58 = 2(2x + 3)58 = 4x + 64x = 58 - 64x = 52x = 52/4x = 13So, width is 13cm then length is (13+3) that is 16cm.
Therefore, the length and width of the given rectangle is 16cm and 13cm.
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Angie and Kenny play online video games. Angie buys 2 software package and 2 months of gameplay. Kenny buys 1 software package and 3 month of game play. Each software package cost $20. If their total cost is $160, what is the total cost of one month of gameplay?
Natalie surveyed 800 of the students in her school about their favorite color. Students could choose between blue and red. 77% said their favorite color was red. How many students' favorite color was blue?
30 points
The total number of students whose favorite color was blue is 184 students.
Total number of students Natalie surveyed in her school = 800
Given the percentage of students who said their favorite color was red = 77%
Now to calculate 77% of the total students is
= 77% of 800
= 77/100 * 800
= 616
The number of students who said red was their favorite color was 616.
So, the number of students who stated that blue was their favorite color
= total students - red color favorite students
= 800 - 616
= 184
Therefore, There are a total of 184 students whose favorite color is blue.
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