Answer:
27
Step-by-step explanation:
Substitute n = - 2 into the expression
n² - 8n + 7
= (- 2)² - 8(- 2) + 7 = 4 + 16 + 7 = 27
Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and in
exponential for by filling in the boxes for exponents.)
2^ × 3^ 5^
Answer:
Step-by-step explanation:
270= 3*3*3*2*5 = 3³ * 2 * 5
360= 2*2*2*3*3*5 = 3² *2⁴ * 5
Greatest common factor = 2 * 3² * 5
a rope is 24 feet long. it is cut into two pieces such that one piece is half the length of the other. find the lengths of the two pieces of rope
Answer:
16 ft and 8 ft
Step-by-step explanation:
x + 1/2 x=24
2/2 x + 1/2 x= 24
3/2 x=24
3 x= 48
x=16
1/2x=16/2=8
the number 1 is an example of an element in the set of natural numbers. true or false
Your answer is True!
Some other examples of an element in the set of natural numbers are 2, 3, 4, 5, etc.
Hope this helps you!
~sofia
A company produces three combinations of mixed vegetables that sell in 1-kg packages. Italian style combines 0.4 kg of zucchini, 0.3 kg of broccoli, and 0.3 kg of carrots. French style combines 0.5 kg of broccoli and 0.5 kg of carrots. Oriental style combines 0.2 kg of zucchini, 0.3 kg of broccoli, and 0.5 kg of carrots. The company has a stock of 17 comma 800 kg of zucchini, 28 comma 300 kg of broccoli, and 38 comma 900 kg of carrots. How many packages of each style should it prepare to use up existing supplies?
Answer:
Italian style = 18,000 packages
French style = 14,000 packages
Oriental style = 53,000 packages
Step-by-step explanation:
See the attached figure to represent the question
let the number of packages of Italian style = x
let the number of packages of French style = y
let the number of packages of Oriental style = z
By using the figure we can make the following equations:
0.4x + 0 * y + 0.2z = 17,800
0.3x + 0.5y + 0.3z = 28,300
0.3x + 0.5y + 0.5z = 38,900
Solving the 3 equations together to find x , y and z
Using the calculator:
x = 18,000 ⇒ Italian style packages
y = 14,000 ⇒ French style packages
z = 53,000 ⇒ Oriental style packages
Add the two equations 2x+6 and 6x-1
Answer:
The sum of the two equations is 8x + 5 and the value of x is -5/8
Step-by-step explanation:
Let's add these two equations and solve for x:
2x + 6 + 6x - 1 = 0
8x + 5 = 0
8x = -5
x = -5/8
The sum of the two equations is 8x + 5 and x = -5/8
Answer:
Sum = 8x + 5
Step-by-step explanation:
It is required to add the following equations
2x+6 & 6x-1
So, the sum of the equations
= (2x + 6) + ( 6x - 1 ) ⇒ Combine like terms.
= ( 2x + 6x ) + ( 6 - 1 )
= 8x + 5
So, the result of adding the equations 2x+6 and 6x-1 is 8x + 5
An equilateral triangle has a perimeter of 54 ft. What is the length of one side? Answer:____ft.
Answer: 18 ft
Step-by-step explanation:
The length of one side is 18 feet.
What is perimeter?A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.
Given:
An equilateral triangle has a perimeter of 54 feet.
Let x be the side of an equilateral triangle.
Then,
3x = 54
x = 54/3
x = 18
Therefore, 18 feet are the length of one side.
To learn more about the perimeter of a shape:
https://brainly.com/question/28161250
#SPJ2
1. Suppose you have a spinner that is evenly
divided showing all the days of the weck, You
also have a bag of papers that list the months
of the year, Are you more likely to spin the
current day of the week or pull out the paper
with the current month?
a) What is the probability of spinning a Monday
b) What is the probability of pulling November?
c) Compare the two fractions, decimals, and
percentages.
find the indicated side of the triangle
Answer:
X=14
Step-by-step explanation:
Sin30=7/x
1/2=7/x
Cross multiply
2×7=14
1×x=x
X=14
there are 16 different colored markers in the bucket. how many ways can kelly choose five of them?
Answer:
80
Step-by-step explanation:
you multiply 16 x 5 = 80
The solution is 4368 ways
The number of ways 16 colored markers in bucket can be arranged by Kelly if she chose 5 of them is 4368 ways
What are Combinations?
The number of ways of selecting r objects from n unlike objects is:
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the equation be represented as A
Now , the value of A is
The number of colored markers n = 16 markers
The number of markers Kelly chooses x = 5 markers
The number of ways Kelly can choose 5 markers from 16 markers is calculated by Combinations
And , the combination is given by
¹⁶C₅ = 16! / ( 16 - 5 )! ( 5! )
On simplifying the equation , we get
¹⁶C₅ = 16! / 11! x 5!
¹⁶C₅ = ( 16 x 15 x 14 x 13 x 12 ) / ( 5 x 4 x 3 x 2 x 1 )
The value of ¹⁶C₅ = 4368 ways
Therefore , the value of A is 4368 ways
Hence , The number of ways 16 colored markers in bucket can be arranged by Kelly if she chose 5 of them is 4368 ways
To learn more about combinations click :
https://brainly.com/question/28065038
#SPJ5
A 2-pound box of candy cost $8.00. What was the cost per ounce (1 pound= 16 ounces)
A) $0.25
B) $0.50
C) $0.80
D) $0.20
Answer:
A: $0.25
Step-by-step explanation:
(6x - 4) + (-4x + 8)
A trucking company had 3 trucks. The first truck traveled 790 miles, the second truck traveled 830 miles, and the third truck traveled 948 miles. Each truck traveled 12 miles on a gallon of gas. Gas cost $1.60 per gallon. Compute the amount the trucking company spent on gas.
Find the total miles of all 3 trucks:
790 + 830 + 948 = 2568
Divide the total by the 12 miles per gallon to find total
Gallons used:
2568 / 12 = 214 total gallons
Multiply total gallons by price:
214 x 1.60 = 342.40
Total amount = $342.40
A theater wants 2000$ and children’s tickets cost 5$ and adult tickets cost 10$.What is one combination of children and adult tickets that will make 2000$
Answer:
100 adults and 200 children
Step-by-step explanation:
$10 × 100 = $1000
$5 × 200= $1000
$1000 + $ 1000 = $ 2000
Answer: a combination of 75 adult tickets and 250 student tickets would make $2000
Step-by-step explanation:
A theater wants 2000$ and children’s tickets cost 5$ and adult tickets cost 10$. To find a combination of children and adult tickets that will make 2000$, we would assume a value for either the number of student tickets or adult tickets and assume a variable for the other.
Assuming 250 student tickets and x adult tickets were sold. Therefore,
250 × 5 + 10x = 2000
1250 + 10x = 2000
10x = 2000 - 1250 = 750
x = 750/10 = 75
what is the answer to: 2.15, 15% markup
A laptop computer uses 78.0 W of power. If it runs for 10.0 minutes, how much energy does it use? (Answer will be in Joules)
Final answer:
To calculate the energy used by a laptop in Joules, multiply its power usage in watts (78.0 W) by the time it was running in seconds (10.0 minutes converted to 600 seconds). The laptop uses 46,800 Joules of energy.
Explanation:
The question asks for the amount of energy used by a laptop computer that has a power rating of 78.0 W when it runs for 10.0 minutes. To find the energy in Joules, we use the equation for energy, which is E = P * t, where E is energy in Joules, P is power in watts, and t is time in seconds.
First, we convert the time from minutes to seconds: 10.0 minutes * 60 seconds/minute = 600 seconds. Then we plug the values into the equation:
E = 78.0 W * 600s = 46,800 J
Therefore, the laptop uses 46,800 Joules of energy.
The table shown below shows some values for functions f(x) and g(x). What is/are the solution(s) to f(x)=g(x)? Explain your answer(s).
x –3 –2 –1 0 1 2
f(x) 81 27 9 3 1 1⁄3
g(x) 6 7.5 9 10.5 12 13.5
Answer:
x = -1
Step-by-step explanation:
Both tables show a function value of 9 for x = -1.
x = -1 is the solution to f(x) = g(x), since f(-1) = 9 = g(-1).
What is the area of this polygon
Answer:
45 units²
Step-by-step explanation:
The polygon is composed of a rectangle FSCW and Δ FSN
area of rectangle = WC × WF = 9 × 2 = 18 units²
area of triangle = 0.5 × FS × perpendicular height from vertex N
A = 0.5 × 9 × 6 = 27 units²
Area of polygon = 18 + 27 = 45 units²
The area of a polygon is calculated using geometric formulas based on the shape and dimensions of the polygon.
Regular polygons and composite shapes require specific formulas, while irregular polygons might need more advanced techniques.
Explanation:To determine the area of a polygon, we use the concept that the area is a measure of the two-dimensional space inside the boundary of a polygon.
A polygon is made of line segments that connect in a closed chain.
Given the description and assuming the polygon is regular or can be divided into recognizable shapes such as triangles, rectangles, or circles, we can use various geometric formulas to calculate the area.
For example, if the polygon is a rectangle, the area is the product of its length and width.
If the polygon can be divided into a series of triangles, we can calculate the area of each and sum them up.
In more complex scenarios, such as irregular polygons, we might need to use methods like triangulation or calculus, depending on the information provided.
*Write an algebraic expression for each situation*
5) 12 fewer than H hats
6) 4 times the sum of x and 1/2
7) 6 less than the quotient of z divided by 3
8) twice a number k plus the quantity s minus 2
9) 8 more than s stripes
10) 5 times the quantity m divided by 2
5) 12<h
6) 4(x+1/2)
7)6-(z÷3)
8)2(k+(s-2))
9) 8>s
10) 5(m÷2)
awnser: C
Step-by-step explanation:
Round 7,492 to the nearest hundreds
Answer the image. Also you don't need to explain your answer.
Answer:
[tex]13\dfrac{1}{4}\ inches[/tex]
Step-by-step explanation:
To find the total length, you should add all lengths and calculate the sum. There are
3 buttons of length [tex]\frac{1}{4}[/tex] inch
2 buttons of length [tex]\frac{3}{8}[/tex] inch
4 buttons of length [tex]\frac{1}{2}[/tex] inch
2 buttons of length [tex]\frac{5}{8}[/tex] inch
3 buttons of length [tex]\frac{3}{4}[/tex] inch
2 buttons of length [tex]\frac{7}{8}[/tex] inch
2 buttons of length 1 inch
2 buttons of length [tex]1\frac{1}{4}[/tex] inches
Total length:
[tex]3\cdot \dfrac{1}{4}+2\cdot \dfrac{3}{8}+4\cdot \dfrac{1}{2}+2\cdot \dfrac{5}{8}+3\cdot \dfrac{3}{4}+2\cdot \dfrac{7}{8}+2\cdot 1+2\cdot 1\dfrac{1}{4}=\\ \\=\dfrac{3}{4}+\dfrac{3}{4}+2+\dfrac{5}{4}+\dfrac{9}{4}+\dfrac{7}{4}+2+2\cdot \dfrac{5}{4}=\\ \\=4+\dfrac{27}{4}+\dfrac{10}{4}=\\ \\=4+\dfrac{37}{4}=\\ \\=4+9\dfrac{1}{4}=\\ \\=13\dfrac{1}{4}[/tex]
Teresa drove 440 miles in 8 hours what is her average rate of speed
so far this season Malia scored two goals and missed on her six other shots on goal what is the experimental probability that maria will score a goal on her next shot
Answer:
Therefore the probability of Maria scoring on her next shot is [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
i) Maria scored two goals and missed on her other six shots.
ii) Maria took a total of eight shots on the goal.
iii) On an average Maria scored twice in every eight shots or once in every four shots on the goal. So we can say that the probability of Maria scoring a goal on every shot on goal is one in four or [tex]\frac{1}{4}[/tex].
iv) Therefore the probability of Maria scoring on her next shot is [tex]\frac{1}{4}[/tex].
Negative ( negative x minus three equals
Answer:
x + 3
Step-by-step explanation:
negative times negative = positive.
Step-by-step explanation:
[tex](+)(+)=(-)(-)=(+)\\(+)(-)=(-)(+)=(-)\\\\-(-x-3)=-1(-x-3)\qquad\text{use the distributive property}\\\\=(-1)(-x)+(-1)(-3)=x+3[/tex]
Estimate 432 divided by 9
Answer:
48
Step-by-step explanation:
Answer:48
Step-by-step explanation:
What is the simplified form of the quantity of x plus 9, all over the quantity of x plus 1 + the quantity of x minus 2, all over 5 ?
Answer:
the quantity of x squared plus 4x plus 43, all over 5 times the quantity of x plus 1
Step-by-step explanation:
we have
[tex]\frac{x+9}{x+1} +\frac{x-2}{5}[/tex]
Find the LCD
LCD=5(x+1)
[tex]\frac{5(x+9)+(x+1)(x-2)}{5(x+1)}[/tex]
[tex]\frac{5x+45+x^2-2x+x-2}{5(x+1)}[/tex]
[tex]\frac{5x+45+x^2-x-2}{5(x+1)}[/tex]
[tex]\frac{x^2+4x+43}{5(x+1)}[/tex]
therefore
the quantity of x squared plus 4x plus 43, all over 5 times the quantity of x plus 1
Answer:
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
A metalworker has a metal alloy that is 20% copper and another alloy that is 70% copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 50% copper alloy?
40 kilograms alloy of 20 % copper and 60 kilograms of alloy of 70 % copper is combined to get 100 kg of 50 % copper alloy
Solution:
Th final alloy is 100 kg
Let "x" be the alloy of 20 % copper
Then, (100 - x) is the alloy of 70 % copper
Therefore,we can say,
"x" kilograms alloy of 20 % copper and (100 - x) kilograms of alloy of 70 % copper is combined to get 100 kg of 50 % copper alloy
Therefore, we frame a equation as:
[tex]x \times 20 \% + (100-x) \times 70 \% = 100 \times 50 \%\\\\x \times \frac{20}{100} + (100-x) \times \frac{70}{100} = 100 \times \frac{50}{100}\\\\0.2x + (100-x) \times 0.7 = 0.5 \times 100\\\\0.2x + 70 - 0.7x = 50\\\\-0.5x = -20\\\\x = 40[/tex]
Thus 40 kilograms of 20 % copper
Then, 100 - x = 100 - 40 = 60
60 kilograms of 70 % copper is used
Ok so i need this answer fairly quickly ! I’ve had trouble with just this one. If you have any idea of how i could find that, i would be more than happy to give you brainliest! :) (20 points)
Answer:
12
Step-by-step explanation:
The common ratio is 1.5. If the input is 8, the output has to be 12.
Answer:
12
Step-by-step explanation:
first is the product of one
second is is of 2
third is of4
and at last 9
If 70% of children who like green are boys,how many boys like green?
Answer:
How many boys are there in total? We can't answer correctly until you give us all the information.
Step-by-step explanation:
The percentage of students who like both oranges and apples (x%) is equal to or greater than 34%.
Let's start by representing the students who like oranges as set A and the students who like apples as set B. We are interested in finding the percentage of students who like both oranges and apples, which corresponds to the intersection of sets A and B.
Based on the given information:
Percentage of students who like oranges (A): 70%
Percentage of students who like apples (B): 64%
Percentage of students who like both oranges and apples (x%): ?
Now, let's use set theory notation to represent the information:
A = students who like oranges
B = students who like apples
A ∩ B = students who like both oranges and apples
The total percentage of students who like oranges or apples can be calculated using the principle of inclusion-exclusion:
Percentage(A ∪ B) = Percentage(A) + Percentage(B) - Percentage(A ∩ B)
We know that Percentage(A) = 70% and Percentage(B) = 64%. Let's denote Percentage(A ∪ B) as y% for simplicity.
y% = 70% + 64% - x%
y% = 134% - x%
Since the total percentage cannot exceed 100% (as it represents the whole student population), we can conclude that:
y% ≤ 100%
134% - x% ≤ 100%
x% ≥ 34%
So, the Main Answer is x% ≥ 34%
To know more about unitary method here
https://brainly.com/question/28276953
#SPJ2
Complete Question:
In a school 70% students like oranges and 64% like apples. If x% like both oranges and apples, then
At bright minds learning , 75% of employees work as instructors . If there are 300 employees at bright mind Learning , how many of them work as instructors
Answer:
225
Step-by-step explanation:
75/100×300=225
Janet has a monthly mortgage payment of $750. Her annual property taxes
are $1200, her PMI is $55/month, and her homeowners insurance is $800 per
year. What is her total monthly mortgage payment?
O A. $2660.00
O B. $1298.09
O c. $971.67
O D. $221.67
Answer:
Monthly mortgage payment is $971.67.Step-by-step explanation:
Janet, has a monthly mortgage payment of $750 and her PMI is $55 per month.
Her annual property taxes are $1200.
Hence, her monthly tax will be $[tex]\frac{1200}{12} = 100[/tex] [Since 1 year = 12 month].
Her homeowners insurance costs $800 per year. This will cost [tex]\frac{800}{12} = 66.67[/tex] per month.
Total monthly mortgage payment will be $([tex]750 + 55 + 66.67 + 100[/tex]) = $971.67.