Answer:
2 + n / 8 = 16
Step-by-step explanation:
Multiply through by 8
2*8 + n = 16*8 Combine factors
16 + n = 128 Subtract 16 from both sides
16 - 16 + n = 128 - 16 Combine terms
n = 12
evaluate (1/4) to the power-2 -(5 to the power of 0 .2).1 to the power -2
Solution
[tex](\frac{1}{4} )^{-2} - 5^{0.2} .1^{-1}[/tex]
Using the exponents rule, we get
[tex]4^{2} - 1.38 . 1[/tex]
= 16 - 1.38
= 14.62
The answer is 14.62
Thank you.
Answer: It is just 14 !!!
Step-by-step explanation: when taking a test you just right it as 14.
May I get some help please?
See the attached picture:
a small of pretzels costs $0.99 and contains 4 ounces. A large bag of pretzels costs $2.99 and contains 15 ounces. Which is the better buy
The large bag of pretzels is the better buy as it has a lower cost per ounce at $0.1993 compared to $0.2475 per ounce for the small bag.
To determine which bag of pretzels is the better buy, we need to calculate the cost per ounce for each bag. For the small bag, we divide $0.99 by 4 ounces to get the cost per ounce. For the large bag, we divide $2.99 by 15 ounces to find its cost per ounce. Once we have both costs per ounce, we can compare them to see which bag offers the lower cost per ounce and hence the better value.
For the small bag:
$0.99 / 4 ounces = $0.2475 per ounce
For the large bag:
$2.99 / 15 ounces = $0.1993 per ounce
Comparing the two, we can see that the large bag of pretzels offers a lower cost per ounce and is therefore the better buy.
0.001 rewritten as a square or a cube
0.001 = 1 thousandth = 1/1000
We can write 1000 as 10^3. Note how 1000 has 3 zeros and the exponent for 10^3 is 3
So, 1/1000 = 1/(10^3) = (1/10)^3 = (0.1)^3
Therefore, 0.001 = (0.1)^3
0.001 rewritten as a cube = (0.1)³.
What is meant by Cube?Cube values are the results of multiplying a number by itself three times. Cubes can be found for any number, whether an integer or a fraction. A whole number's cube (x) yields a perfect cube ( x³), and the cube root of x³ yields x once more.A cube number is essentially a number formed by multiplying three identical numbers together. The volume of a cube is the best example of a cube number in geometry.A cube's volume is equitable to a³, where a = length + height + width. This means that the volume of a cube is a cube number.To cube a number, simply multiply it by itself twice. This applies to all numbers.Given,
0.001 can written as
0.001 = 1/1000
We can write 1000 as 10³.
Note how 1000 has 3 zeros and the exponent for 10³ is 3
So,
1/1000 = 1/(10³) = (1/10)³ = (0.1)³
Therefore, 0.001 = (0.1)³
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Write an expression that shows how you can multiply 9x475 using expanded form and Distributive property
To write an expression that shows 9 * 475 multiply using expanded form an distributive property we break 475 into three numbers
475 can be break into 400 + 70 + 5
Now we multiply by 9
9 x 475
9 x (400 + 70 + 5) (expanded form of 475)
We use distributive property here.
We distribute 9 inside the parenthesis
9 x 400 + 9 x 70 + 9 x 5
3600 + 630 + 45
4,275
A rectangle has an area of 364.5cm^2 if it’s length is 27 cm find its perimeter
When, a rectangle has an area of 364.5cm² if it’s length is 27 cm. Then, the perimeter of the rectangle is 81 cm.
To find the perimeter of a rectangle when the area and the length are known, first calculate the width using the area formula. The area of a rectangle is given by the formula Area = length x width. Given that the area is 364.5 cm² and the length is 27 cm, the width can be found as follows:
Width = Area / Length = 364.5 cm² / 27 cm = 13.5 cm
Once you have both the length and width, the perimeter can be calculated using the formula Perimeter = 2 x (length + width). So, the perimeter would be:
Perimeter = 2 x (27 cm + 13.5 cm) = 2 x 40.5 cm = 81 cm
Hence, the perimeter of the rectangle is 81 cm.
Sameera predicted that she would sell 38 blankets, but she actually sold 28 blankets. Which expression would find the percent error? Use the table below to help answer the question. Percent Error Item Approximate value Exact value Error Absolute error Ratio Percent error Blankets 38 28 10 10
Solution: We are given:
Predicted Sales by Sameera [tex]=38[/tex]
Actual Sales by Sameera [tex]=28[/tex]
Now to find the Percent error, we have to use the below formula:
[tex]Percent-Error= \frac{|Predicted-value - Actual-value|}{Actual-value} \times 100 \%[/tex]
[tex]=\frac{|38-28|}{28} \times 100 \%[/tex]
[tex]=\frac{10}{28}\times 100 \%[/tex]
[tex]=35.71 \%[/tex]
Therefore, the percent error is [tex]35.71 \%[/tex]
Answer:
c
Step-by-step explanation:
Please Help <3 Please Help <3
Tawny is grocery shopping and needs broccoli and cauliflower for a recipe she is making for dinner. Broccoli is $1.05 per pound and cauliflower is $0.76 per pound. She knows she wants to spend exactly $10 on veggies. If b represents pounds of broccoli and c represents pounds of cauliflower, which equation represents this situation?
A) 1.05c + 0.76b = 10
B) 1.05b + 0.76c = 10
C) 1.81v = 10
D) b + c = 10
Well I think that the answer is B because if you add all those up you'll get ten.
The equation that represents this situation is 1.05c + 0.76b = 10.
Explanation:The equation that represents this situation is option A, which is 1.05c + 0.76b = 10.
To understand why this is the correct equation, let's break it down. The equation represents the total cost of the broccoli and cauliflower Tawny needs to buy. The cost of broccoli is given as $1.05 per pound, so we multiply this cost by the number of pounds of broccoli (b) Tawny wants to buy. Similarly, the cost of cauliflower is given as $0.76 per pound, so we multiply this cost by the number of pounds of cauliflower (c) Tawny wants to buy. The sum of these two costs should be equal to $10, which is Tawny's desired spending amount.
Determine if the pair of ratios or rates are equivalent.
$18 for 3 bracelets ; $30 for 5 bracelets
Are these equivalent yes or no
Answer:
yes they are equivalent
what is 936,292 rounded to the nearest hundred thousand
To round 936,292 to the nearest hundred thousand, you look at the ten thousand place. Since it's 3, which is less than 5, 936,292 rounds down to 900,000.
To round 936,292 to the nearest hundred thousand, we need to look at the ten thousand digit, which is 3. Since this number is less than 5, we do not round up the hundred thousand digit. Therefore, 936,292 rounded to the nearest hundred thousand is 900,000.
Rounding to the nearest hundred thousand means replacing all the digits to the right of the hundred thousand place with zeros. If the digit in the ten thousand place is five or higher, we add one to the hundred thousand digit. If it's lower than five, we keep the hundred thousand digit the same.
a jet airplanes hose about 65,000 gallons of gas he uses about 7460 gallons when flying between New York City and Los Angeles. Round each number to the largest place value then find about how many trips the plane can take between cities before running out of fuel
8 trips the plane can take between cities before running out of fuel.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
Total gas available 65000 gallons round down as 60000
Gas is consumed between New York and Los Angeles = 7460 round-up as 7000
The number of trips from New York and Los Angeles = 60000/7000 = 8.57.
Since the number of trips should be a whole number so 8 will be the correct answer.
Hence "8 trips the plane can take between cities before running out of fuel".
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solve the proportion t+4 / t-2 = 1/4
t+4 / t-2 = 1/4
t=-6 for your answer!
What is 41/6 simplified into 12
41/6 = - 41/6 = - 6 5/6 = - 6.833333333333; Result written as a negative improper fraction, a mixed number (also called a mixed fraction) and a decimal number. Ordinary (simple, common) math fraction reducing to lowest terms (simplifying), answer with explanations below.
I believe it is 5/6 but I am not sure
choose the letter corresponding to the best answer which is a true statment
-10 > -2
Hope this helped hun
- Laura <3
Choose the correct equation in point-slope form for the line that passes through the point with the given slope.
(2, -1), m = -3
A) y + 1 = 3x - 6
B) y - 1 = -3x + 2
C) y - 2 = -1 [ x - (-3)]
D) y - 1 = -3 (x + 2)
E) y + 1 = -3 (x - 2)
Answer:
E) y + 1 = -3 (x - 2)
Step-by-step explanation:
y-y1=m(x-x1)
Use this equation to solve a question like this. Just plug in the numbers you have to get the equation.
pls help ASAP, thank you!!
Your answer would be the very first one since t would represent time(minutes) which is the x-axis, that's how you find the domain. And since your domain starts as a closed dot at 0 and ends as a closed dot at 14 t- 0<= t <= 14
Hope this was helpful :)
Which of the following is a true statement?
B. Is true. Because if you were to multiply the number you would get these answers.
Option: D is the correct answer.
The k-value is: [tex]\dfrac{-1}{4}[/tex]
Step-by-step explanation:The table of values of x and y are given as follows:
x y
-4 1
8 -2
12 -3
20 -5
We know that x and y are said to be in proportional with constant of proportionality k if there is a constant k such that:
[tex]y=kx[/tex]
for different ordered pair (x,y)
Here for ordered pair (-4,1) we have:
[tex]1=k\times (-4)\\\\i.e.\\\\k=\dfrac{-1}{4}[/tex]
Similarly for all the other ordered pair we get:
k is a constant and
[tex]k=\dfrac{-1}{4}[/tex]
Hence, the answer is:
Option: D
Which expression is the completely factored form of x6−64y3 ?
Answer:
(x^2 - 4y)( x^4 + 4x^2y + 16y^2)
Step-by-step explanation:
x^6−64y^3
- using the identity a^3 - b^3 = (a - b)(a^2 + ab + b^2) with a = x^2 and b = 4y we have:-
(x^2 - 4y)( x^4 + 4x^2y + 16y^2)
Factored form of x6−64y3 is (x^2-4y)(x^2+2xsqrt(y)+4y)(x^2-2xsqrt(y)+4y)
What is factorisation?
The process of factorisation involves dividing mathematical algebraic formulas into the sum of their factors. When the factors are multiplied once more, the original phrase is obtained.#x^6-64y^3#
#=(x^2)^3-(4y)^3#
#=(x^2-4y))(x^4+4x^2y+16y^2)#
#=(x^2-4y)[(x^2)^2+(4y)^2+4x^2y)]#
#=(x^2-4y)[(x^2+4y)^2-2*x^2*4y+4x^2y)]#
#=(x^2-4y)[(x^2+4y)^2-8x^2y+4x^2y)]#
#=(x^2-4y)[(x^2+4y)^2-(2xsqrt(y))^2]#
#=(x^2-4y)(x^2+2xsqrt(y)+4y)(x^2-2xsqrt(y)+4y)#
The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.Finding the roots of a quadratic equation includes factorization of quadratic equations. In order to factor a quadratic equation, the given quadratic expression must be transformed into the product of two linear factors.To learn more about factorisation refer to:
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Help!
"Stacy is planting a vegetable garden. She has 27 tomato plants, 45 bean plants, and 54 carrot plants. Stacy wants each row of her garden to have the same number of each type of plant. What is the greatest number of rows that Stacy can have if she wants to use all of her plants? How many of each type of plant will she have in each row?"
To determine the number of rows and the number of each type of plant Stacy can have, we need to find the greatest common factor (GCF) of the plant counts. The GCF represents the number of plants in each row. The GCF of 27, 45, and 54 is 9, so Stacy can have 9 rows with 3 tomato plants, 5 bean plants, and 6 carrot plants in each row.
Explanation:To determine the greatest number of rows that Stacy can have in her vegetable garden while still using all of her plants, we need to find the greatest common factor (GCF) of the numbers 27, 45, and 54. The GCF will represent the number of plants Stacy can have in each row.
First, we can find the GCF of 27 and 45 by listing their factors:
27: 1, 3, 9, 27
45: 1, 3, 5, 9, 15, 45
The greatest common factor of 27 and 45 is 9.
Next, we find the GCF of 9 and 54:
9: 1, 3, 9
54: 1, 2, 3, 6, 9, 18, 27, 54
The greatest common factor of 9 and 54 is 9.
Therefore, Stacy can have 9 rows in her garden, and each row will have 3 tomato plants, 5 bean plants, and 6 carrot plants.
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32,111÷181=
whats is the remainder
The answer would be 177.4
The division of 32,111 by 181 gives a quotient of 177 and a remainder 104. In essence, when 32,111 is divided by 181 completely, there is left an undivided 104.
Explanation:In Mathematics, to determine the remainder of a division problem, you perform the division operation as usual and then observe the residual value. That residual value is the remainder. In your case, when 32,111 is divided by 181, the result is 177 with a remainder of 104. Therefore, the answer to your question '32,111 ÷ 181, what is the remainder?' is 104, this is the amount that can't be evenly divided over 181. It is known as the remainder of the division operation.
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Melinda and Paul shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paul shoveled for 25 minutes to complete 345 square feet of driveway.How much more can Paul shovel in 1 minute than Melinda?
30x + 30y = 450
20x + 25y = 345
answer: 3 square ft per minute
ten is no less than a number q multiplied by 6
The answer is q - 10 times 6
Which is a definition of a ray
A point extending forever in one direction
A ray is a portion of a line which starts at a point and goes off in a particular direction to infinity.
i have a math question it is... what is g - 3/7 = 2/7 ?
g - 3/7 = 2/7 is an equation.
[tex]\displaystyle\bf\\g-\frac{3}{7}=\frac{2}{7}\\ \\g=\frac{2}{7}+\frac{3}{7}=\frac{2+3}{7}=\frac{5}{7}\\\\\boxed{\bf g=\frac{5}{7}}[/tex]
solve 4x+x+4=8x-3x+4. Does this equation have one solution, no solution or infinitely many solutions?
One Solution: Simplify to get 5x+4=5x+4
The equation 4x + x + 4 = 8x - 3x + 4 has infinitely many solutions.
How to determine the solution to the equationTo solve the equation 4x + x + 4 = 8x - 3x + 4, we first simplify both sides
5x + 4 = 5x + 4
Next, we subtract 5x from both sides:
4 = 4
Since the equation simplifies to a true statement (4 = 4), this means that the equation is true for any value of x.
Hence, the equation has infinitely many solutions.
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use all 2,4,6,8 and any operation ONCE to find two equations that equal 24
Answer:
6*8 / (4-2) = 24
4*8 - (6+2) = 24
Step-by-step explanation:
For the first equation the parentheses are calculated first . Then the operations are done from left to right.
For the second the parentheses are worked out first , then the operations are done from left to right..
Which graph represents the equation y = 3/4x - 3
In the equation y = 3/4x -3, 3/4 is the slope and -3 is the y-intercept. To graph this, start at -3 on the y-axis, then for each increase of 1 in the x direction, go up by 3/4 in the y direction, drawing a line through these points.
Explanation:The equation y = 3/4x - 3 represents a straight line in mathematics. The first step to getting your graph is to understand the equation structure: y = mx + b, in which 'm' is the slope and 'b' is the y-intercept. Hence, in your equation the slope is 3/4 and the y-intercept is -3. When x = 0, y will be -3. This is your starting point on the graph.
To construct the graph of this equation, you'd use the slope (3/4), which means to every 1 unit increase in 'x', 'y' will increase by 3/4 units. Start at your y-intercept (-3), then rise 3 units and run 4 units to the right to plot your next point. Continue this until you have a several points. Once you have enough points, you can draw a line through them to represent the equation y = 3/4x - 3.
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A laboratory technician needs to make a 117-liter batch of a 20% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?
Given
A laboratory technician needs to make a 117-liter batch of a 20% acid solution.
How much the technician combine an acid solution that is pure acid with another that is 10% to get the desired concentration.
To proof
let us assume that the solution that is pure acid = x liters
let us assume that the anthor solution that is 10% = y liters
Than
the equation becomes
x + y = 117
As given in the question
technician needs to make a 117-liter batch of a 20% acid solution
laboratory technician combine an acid solution that is pure acid with another that is 10% to get the desired concentration
Convert 20% in the simpler form
[tex]=\frac{20}{100}[/tex]
= 0.2
Convert 10% in the simpler form
[tex]=\frac{10}{100}[/tex]
= 0.1
Than the equation becomes
0.2 × 117 = x + 0.1y
234 = 10x + y
Than the two equation are
x + y = 117
234 = 10x + y
subtracted x + y = 117 from 234 = 10x + y
10x+y -x -y = 234 -117
9x = 117
x= 13
put this in the equation x + y = 117
13 + y =117
y = 117 - 13
y = 104
Therefore
The solution that is pure acid be 13 liters.
than the other solution that is 10% is 104 liters.
Hence proved
ms. rochelle wants to put her 29 student in a group of 6b how may groups of six can she make if she pust the remaining students in a smaller group how many students will be in that group
Answer:
Given:
There are 29 students.Ms. Rochelle wants groups of 6 students each.What Ms. Rochelle is trying to do is to divide. So, to solve the problem we divide, but this division is not exact.
[tex]\frac{29}{6}=4\frac{5}{6}[/tex]
This means that there will be 4 groups of 6 students each, and one remaining smaller groups of 5 students, that's the meaning of the mixed number.
Therefore, Ms. Rochelle will have 4 groups of 6 students and 1 groups of 5 students, which sum 29 students in total.