Answer:
253cm
Step-by-step explanation:
(86cm*3)-5cm
= 258cm - 5cm
= 253cm
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
Learn more about mathematical operations at https://brainly.com/question/4721701.
#SPJ1
please help i will give brainliest
Answer:
[D] 1/14
Step-by-step explanation:
Given that:
What is the probability of picking an orange marble and flipping tails?
Solution:
First let see how many orange marbles are there:
As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.
Now let see how many side a coin have:
As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.
Now multiply both together:
(1/7)× (1/2) = (1×1)/(7×2) = 1/14
This represents the probability of getting an orange marble and flipping tails.
In additionally 1/14 can't be simplify anymore.
Kavinsky
Answer:
[D] 1/14
Step-by-step explanation:
Knowing that there are 5 purple marbles, 1 brown marble, 1 orange marble. Since, on the given question all we need to know is the total marbles and the orange marbles.
Which the probability is 1/7
Now for the coin.
Knowing that there are two sides on a coin
Heads and tails (1/2)
Which is only 1/2 also known as 50% probability.
Now multiply straight across:
1/2 × 1/7
⇒ 1 × 1 = 1
⇒ 2 × 7 = 14
Thus, the answer is 1/14
can't be farther simplify.
[RevyBreeze]
Choose the equation for the line in slope-intercept form.
Suppose that 11 inches of wire costs 33 cents. At the same rate, how many inches of wire can be bought for 18 cents?
Answer:6 inches
Step-by-step explanation:
11inch=33 cents
1 cent can buy 11/33= 1/3 inches
18 cents can buy 18 * 1/3 = 6 inches
Answer:
6in. = 18 cents
Step-by-step explanation:
1. Find out how many inches it costs for one inch ( 33/11 = 3)
2. divide 18 by 3 and get 6.
a company puts 23 buttons in each of its containers. how many buttons are needed for 562 containers?
Answer:
12,926
Step-by-step explanation:
23 x 562 = 12,926
find the sum of all two digit whole numbers which are divisible by 11?
Answer:
all two digit whole number which are divisible by 11 are
22+33+44+55+66+77+88+99=484
Answer: 495
Step-by-step explanation:
11+22+33+44+55+66+77+88+99 =495
Which of the following expressions represents the solution to the inequality statement?-x ≤ -7 / x ≥ 7 / x ≤ 7 / x ≥ -7 / x ≤ -7
Answer:
x≥7
Step-by-step explanation:
mark me brainliest please
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer:
j
Step-by-step explanation:
Answer:
B, E, and F
Step-by-step explanation:
The other answer choices are questions you should ask after you have gotten the answer, not when you are trying to understand the problem.
Hope this helped! :)
6. Determine the system of equations based on the following relationships and then solve
for the two integers.
a. Fourteen more than twice the first integer gives the second integer
b. The second integer increased by one is the square of the first integer
Answer: (-3,8) and (5,24)
The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).
To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.
According to the given information:
a. Fourteen more than twice the first integer gives the second integer:
This can be expressed as: 2x + 14 = y
b. The second integer increased by one is the square of the first integer:
This can be expressed as: y + 1 = x^2
Now, we have a system of equations:
1) 2x + 14 = y
2) y + 1 = x^2
To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):
2x + 14 + 1 = x^2
2x + 15 = x^2
Rearranging the equation, we have:
\(x^2 - 2x - 15 = 0\)
Factoring the quadratic equation, we get:
(x - 5)(x + 3) = 0
Setting each factor equal to zero:
x - 5 = 0 --> x = 5
x + 3 = 0 --> x = -3
Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':
For x = 5:
2(5) + 14 = y
10 + 14 = y
y = 24
For x = -3:
2(-3) + 14 = y
-6 + 14 = y
y = 8
Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).
for more such question on integers visit
https://brainly.com/question/929808
#SPJ8
hi can you help me answer this?
Answer:
C.112
Step-by-step explanation:
A recipe for two dozen cookies calls for 2 1/3 cups of sugar. How much sugar is needed to make one dozen cookies?
What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)
Answer:
1874.4
Step-by-step explanation:
First multiply 3.4 and 10
34
Then subtract 14 from 34
24
Then multiply 1.8 by 1028
1850.4
Lastly add 1850.4 and 24
1874.4
Answer:
7.987
Step-by-step explanation:
Just use your head man
32. Jimmy is putting down carpet in a square-shaped room. The floor has an area of
90 square feet. Jimmy knows that the side length of the floor must be √90 feet.
Which statement about the value of √90 feet is true?
A. √90 feet is between 9 feet and 10 feet but is closer to 9 feet.
B. √90 feet is between 9 feet and 10 feet but is closer to 10 feet.
C. √90 feet-45 feet
D. √90 feet = 8100 feet
Answer:
The correct answer is A.
Step-by-step explanation:
The correct answer is A.
To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.
Need this answered as soon as possible please!! Flo is designing a rectangular billboard using a scale drawing. the billboard is 6 m long. Flo draws a rectangle 12 cm long. The area of Flo's rectangle is 72 cm squared. What is the area of the billboard in square meters?
What is the equation of the line graphed below?
Answer:
d
Step-by-step explanation:
you can notice that the image of 0 using y = 3x-8 is -8 wich what we see on the graph
you can also notice that the image of 2.6 is 0 wich is what we see on the graph
Answer:
D
Step-by-step explanation:
We can't really see any clear points apart from (0,8). That is why we will reason through the problem. We see that the y intercept is (0,8). Our equation needs to have -8 after the xs. That eliminates option A.
If we look at the second equation and we will put in x = 2, then y = -4. We can see that y isnť -4 on the graph though. We can eliminate B.
If we look at the second equation and we will put in x = 2, then y = -6. We can see that y isnť -6 on the graph though. We can eliminate C.
Only option remaining is D.
i need help with this asap! will give brainiest if answered correctly
Answer:
Step-by-step explanation:
2
direct variation
Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. if a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?
pls help (;ŏ﹏ŏ)
When a force of 270N is applied, the spring stretch by 7.5cm
Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.
Let F represent the force and x represent the extension, hence:
F ∝ x
F = kx; k is the constant of proportionality
When F = 180, x = 5, hence:
180 = 5k
k = 36
F = 36x
When F = 270:
270 = 36x
x = 7.5 cm
When a force of 270N is applied, the spring stretch by 7.5cm
Find out more at: https://brainly.com/question/13977805
When is a repeating decimal acceptable to use during calculations? When should you convert a repeating decimal to a fraction for calculations?
A repeating decimal is acceptable to use during calculations when you require a certain level of precision
When is a repeating decimal acceptable to use during calculations?A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.
It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.
On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.
Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.
Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.
Learn more about repeating decimal at https://brainly.com/question/602727
#SPJ1
Please help! What is the volume? Answer and explanation please! <3 (No links please..)
V = ____ pi inches cubed
9514 1404 393
Answer:
562.5π in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
where r is the radius, half the diameter.
V = (4/3)π(7.5 in)³ = 562.5π in³
A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?
Answer:
$2,500 or 25%
Step-by-step explanation:
Let's use the same example:
Cost of Equipment = $10,000
Useful Life = 4 years
Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100
Annual Depreciation = Cost of Equipment / Useful Life
Annual Depreciation = $10,000 / 4 years
Annual Depreciation = $2,500
Depreciation Rate = ($2,500 / $10,000) * 100
Depreciation Rate = 0.25 * 100
Depreciation Rate = 25%
Can someone help find the surface area, then round the answer to the nearest whole number please?
The Surface Area of cylinders are: 100 yd² , 264 m², 226 mm²
The Surface Area of Can is 219 cm².
We know the formula for Surface Area of Cylinder
= 2πrh
1. Radius = 2 yd
Height = 8 yd
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 2 x 8
= 100 yd²
2. Radius = 7 m
Height = 6 m
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 6 x 7
= 264 m²
3. Radius = 3 mm
Height = 12 mm
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 3 x 12
= 226 mm²
4. Radius = 3.5 cm
Height = 10 cm
So, Surface Area of Can
= 2πrh
= 2 x 3.14 x 3.5 x 10
= 219 cm²
Learn more about Surface area here:
https://brainly.com/question/2835293
#SPJ1
\( \sf\sqrt{256} \)
\( \\ \\ \\ \)
Answer:
I hope this helps you hehehe :)
Step-by-step explanation:
=√256
=√4×4×4×4
=√4^4
=44/2
=4^2
=16
If x, y, and z are positive integers such that xyz+30xy+21xz+2yz+105x+10y+7z=812, find x+y+z.
Answer:
x= 2, y= 2, and z= 6
Step-by-step explanation:
If this is a Diophantine equation, add 35 to both sides and factor the left:
(3x+1)(2y+7)(z+5) = 847 = 7 times 112
Each integer factorization of 847 into 3 factors leads to a different number/value of x, y, and z. If the first factor, (3x+1), is 1 more than a multiple of 3, and the second factor, (2y+7), is odd, then x, y, and z will be integers.
For example:
847 = 121 times -7 times -1 gives (x, y, z) = (40, -7, -6) because 121 times -7 times -1 is 847 as well, it checks out.
If x, y, and z need to be positive, then the three numbers/factors need to be greater than 1, 7, and 5. The only combination that works is 7 times 11 times 11, which gives (x, y, z) = (2, 2, 6).
:)
Write the following statement as a mathematical expression.
Let x be a number.
The quotient of two and a number, subtracted from seventeen
Answer:
17 - (2 / x)
Step-by-step explanation:
because it is being subtracted from 17. that goes first, and then x is being divided by 2.
Hope this helps!
Answer:
17 - (2 / x)
Step-by-step explanation:
i just did it and got a 100%
find the value of x and the measure of angle axc
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150
I really need help, please. I have question one but I can't figure out the rest.
4.3.4 Practice: Solving Systems of Linear Equations by Substitution
Practice
M/J Grade 8 Pre-Algebra Sem 1
Points Possible:10
Name:
Caine Jones
Date:
Your Assignment
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read. (1 point)
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read. (1 point)
3. Write the system of equations using your answers from questions 1 and 2.
(2 points)
4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution. (2 points)
5. Solve the system of equations. Show your work. (2 points)
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read? (2 points)
1. The equation to represent the number of pages Amir has read is y = 35x, where x is the number of days Amir has been reading and y is the number of pages he has read.
2. Let's say that Jesse started reading on Saturday, and Amir started reading on Sunday. If x is the number of days Amir has been reading, then Jesse has been reading for x + 1 days. The equation to represent the number of pages Jesse has read is y = 30(x + 1), where y is the number of pages Jesse has read.
3. The system of equations is:
y = 35x
y = 30(x + 1)
4. We will substitute y in the second equation with y from the first equation. We can do this because both equations represent the number of pages each person has read. So we have:
35x = 30(x + 1)
5. Solving for x:
35x = 30x + 30
5x = 30
x = 6
So it will take Amir 6 days to catch up to Jesse.
To find the number of pages they have read, we can use either of the original equations. If Amir has been reading for 6 days, he has read:
y = 35x = 35(6) = 210 pages
If Jesse has been reading for 7 days (one day more than Amir), he has read:
y = 30(x + 1) = 30(7) = 210 pages
So when Amir catches up to Jesse, they will both have read 210 pages.
6. Amir will catch up to Jesse in 6 days. At that time, they will each have read 210 pages.
Answer: i got number 1 :)
6 days
210 pages
Step-by-step explanation:
As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
Your grandmother tells you a story about a genie that offers two options for rewards.
● Option 1: $1,500,000
● Option 2: A magical $1 coin that triples every day. The coin turns into three coins on the first day. The three coins turn into nine coins on the second day. The nine coins triple to 27 coins on the third day. This doubling will continue for 28 days.
Write an equation that shows the number of coins n that you get when you choose option 2 after d days.
Key: d is the variable
The expression for the magical coin for d days will be \(C = (3)^d\).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that A magical $1 coin that triples every day. The coin turns into three coins on the first day. The three coins turn into nine coins on the second day. The nine coins tripled to 27 coins on the third day. This doubling will continue for 28 days.
The equation can be written as,
\(C = (3)^d\)
At d = 28, the value of the coin will be,
C = (3)²⁸
C = $2.28 x 10¹³
To know more about an expression follow
https://brainly.com/question/29189142
#SPJ1
If the carrier is continental airlines, what is the chance that I will be denied boarding?
Answer:
Sample Answer for Edmentum
Step-by-step explanation:
Answer: 0.0112%
Step-by-step explanation:
The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the domain and range of each function is correct? Both the domain and range of the transformed function are the same as those of the parent function. Neither the domain nor the range of the transformed function are the same as those of the parent function. The range of the transformed function is the same as the parent function, but the domains of the functions are different. The domain of the transformed function is the same as the parent function, but the ranges of the functions are differe
Both the domain and range of the transformed function are the same as those of the parent function.
What are Range and Domain?
The collection of all potential output values that a function can generate given its domain is known as its range.
The set of all potential input values for which a function is specified is referred to as its domain.
The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.
Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.
A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.
Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.
A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well
So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.
Learn more about Range from the given link.
https://brainly.com/question/2264373
#SPJ1
100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!
The triangles ABC and DBE are similar by the SAS similarity theorem
The measure of the side lengths AC is 16 units
How to identify the similar triangles.From the question, we have the following parameters that can be used in our computation:
The triangles ABC and DBE
These triangles have the following measures
Two similar corresponding sidesTwo equal corresponding anglesThis means that the triangles are similar by the SAS similarity theorem
How to find each measureUsing the SAS similarity theorem, we have the following equation
(x + 1)/12 = (x + 5)/15
Cross multiply the equation
15x + 15 = 12x + 60
So, we have
3x = 45
Divide by 3
x = 15
This means that
x + 1 = 15 + 1 = 16
x + 5 = 15 + 5 = 20
Hence, the measure of the side lengths are 16 and 20 units
Read more about similar triangles at
https://brainly.com/question/14285697
#SPJ1