Answer:
x=S/4
Or
x=S(1/4)
Step-by-step explanation:
Surface Area(S)=4x
Where
x=length
Inverse by solving for x without switching the variables
S=4x
Divide both sides by 4
S/4=4x/4
S/4=x
x=S/4
Or can also be written as
x=S(1/4)
which method can be used to solve 11x13
Answer:
Simple column method
Step-by-step explanation:
11
x 13
33
110
143
Answer:
Use the grid method, since it is the most obvious option. But, you may also use the distribution method.
Step-by-step explanation:
Distribution method:
divide 13 into 10 +3
then multiply 11 with 10 and 3 individually.
This can be written as 11(10+3) = 110+33 = 143
Please mark brainiest
Which procedure justifies whether Negative 3 x (5 minus 4) + 3 (x minus 6) is equivalent to Negative 12 x minus 6? The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (2) minus 6 = negative 30. The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (3) minus 6 = negative 42. The expressions are equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (negative 2) minus 6 = 18. The expressions are equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (1) minus 6 = negative 18.
Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.
The correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18
Expressions and valuesEquations are written by equating two expressions
Given the following equation -3x(5-4)+3(x-6)
Expand
-15x + 12 + 3x - 18
Collect the like terms
-15x + 3x + 12 - 18
-12x - 6
Hence the correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18
Learn more on equations here: https://brainly.com/question/2972832
#SPJ5
The rati of the number of moons the planet neptune has to the number that saturn has is 4 to 9 saturn has 18 moons how many moons does nepturn have ???
Answer:
HEY!
Neptune contains 8 moons.Step-by-step explanation:
18/9) *4 = 8 moons. Hence, Neptune has a total of 8 moons according to the given conditions.
Can someone help me please?
Answer:
Inverse Variation
Step-by-step explanation:
y = k/x
During the 2010 baseball season, the number of wins for three teams was three consecutive integers. Of these three teams, the first team had the most wins. The last team had the least wins. The total number of wins by these three teams was 252. How many wins did each team have in the 2010 season?
Answer: 83,84 and 85
Step-by-step explanation:
Let the number of win for the teams be x, x+1 and x+2 respectively. From the question, we are told that the total number of wins by these three teams was 252 for the 2010 season. Therefore,
x+x+1+x+2 = 252
3x+3 = 252
3x = 252 - 3
3x = 249
x = 249/3
x = 83
This means that the team with least wins has 83 while the second team has 84 and the team with most wins has 85.
Which situation is best modeled with a division expression?
finding the number of equal-sized parts into which a number can be split
finding the combined value of several different numbers
finding the distance between two numbers on a number line
finding the total value when several of the same number are grouped together
Answer: Finding the number of equal-sized parts into which a number can be split
Step-by-step explanation:
Hi, a division expression is the division of 2 numbers that results in a quotient.
The quotient is the number of times that the second number in the division is contained in the first number.
For example 20 ÷ 2 = 10
Number 2 is contained 10 times in the number 10, or in other words, 20 can be split into ten equal-sized parts.
Feel free to ask for more if needed or if you did not understand something.
Answer:
A
Step-by-step explanation:
for edge
Part of a book fell out. The first page of this part has number 143. The last page has a number written with the same digits. How many pages are in the part of the book which has fallen out?
Answer:
142 pages
Step-by-step explanation:
The parameters given are
First page of part of the book available = 143
The last is numbered with the digits 143
Since the book is said to have been split into two parts with, we have that one part of the book starts from the beginning, while the other part continue from the first part stops
Number on the pages on the first part = from 1 to number on the first page on the second part - 1
Hence, the part of the book available is the second part and the number of pages in the first part = 1 to 142 or 142 pages.
john has × marbles and max has twice as many.max give gives john 5 of his marbles does max now have
Answer: 2x -5
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
John has × marblesJohn=x
Max has twice (multiplied by 2) as many.max give gives john 5 of his marbles.We have to multiply by 2 the number of marbles that John has (x), and subtract 5.
Max = 2x -5
Feel free to ask for more if needed or if you did not understand something.
7×10^-5
answer this
Hi! So we have to use the Order of Operations, aka PEMDAS so it's:
Parentheses
Exponents
Multiplication/Division
Addtion/Subtraction
Exponent comes first so we'll deal with that. 10^-5=0.00001
And then 7*0.00001=0.00007
in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine, the rate of flu infection was just 3.5%. What conclusion should you draw?
Answer:
[tex]\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define significance level
In this hypothesis testing problem, significance levels α is selected: [tex]0.05[/tex], the associated z-value from Laplace table:
Φ([tex]z[/tex]) = α - [tex]0.5 = 0.05 - 0.5 = -0.45[/tex]
=> [tex]z[/tex] = [tex]-1.645[/tex]
Step 2: Define null hypothesis ([tex]H_{0}[/tex]) and alternative hypothesis ([tex]H_{1}[/tex])
[tex]H_{0}[/tex] : rate of flu infection [tex]p[/tex] = 8.3% or 8.3/100 = 0.083
[tex]H_{1}[/tex] : rate of flu infection [tex]p[/tex] < 8.3% or 8.3/100 = 0.083
Step 3: Apply the formula to check test statistic:
[tex]K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}[/tex]
with [tex]f[/tex] is actual sampling percent, [tex]p[/tex] is rate of flu infection of [tex]H_{0}[/tex], [tex]n[/tex] is number of samples.
The null hypothesis will be rejected if [tex]K < z[/tex]
Step 4: Calculate the value of K and compare with [tex]z[/tex]
[tex]K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46[/tex]
We have [tex]-2.46 < -1.645[/tex]
=>This is good evidence to reject null hypothesis.
=> The actual rate is lower. (As [tex]H_{1}[/tex] states)
Hope this helps!
:)
PLEASE HELP!! The table shows the balance of an investment account at the beginning of each year the account was held. Assuming no other deposits have been made to the account, which statement describes the accounts growth.
The table and answers are attached.
Answer:
C
Step-by-step explanation:
The answer is c because 10.5 also equals up to 1,32300
The statement describes the growth of the account as C. The account grew exponentially at an annual interest rate of 5.00%.
What is an example of a cash account?
Cash accounts
A cash account might be the type of funding account you believe you studied when you consider making an investment. You deposit cash into a coins brokerage account, and you then use the budget to shop for securities.
What type of account is ideal for investment?A cash account is suitable for the majority of traders. It lets you buy investments with the cash you deposit into the account. A margin account is for investors who want to borrow cash from the broker to buy investments. Margin trading is a riskier sort of investing this is nice proper for advanced traders.
Learn more about Traders at https://brainly.com/question/17727564
#SPJ2
he factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4? (x + 4) and (x – 4) (x + 3) and (x – 4) (x + 4) and (x – 1) (x + 3) and (x – 1)
Answer:
x-1 and x+4. srry if i am wrong
Step-by-step explanation:
7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if it
sweeps an area of 48 cm. (Taken=22/7)
(3 marks)
Page 2 of 3
Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π = [tex]\frac{22}{7}[/tex]
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 × [tex]\frac{22}{7}[/tex] × (3.5)²
48 = Ф/360 × [tex]\frac{22}{7}[/tex] ×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the origin?
coordinate plane with rectangle ABCD at A (3,5), B (1,3), C (5,-1), and D (7,1)
Side B'A' has a slope of −1 and is perpendicular to side BA.
Side B'A' has a slope of 1 and is parallel to side BA.
Side B'A' has a slope of 1 and is perpendicular to side BA.
Side B'A' has a slope of −1 and is parallel to side BA.
Answer:
Numbering the options, we have;
1) Side B'A' has a slope of −1 and is perpendicular to side BA.
2) Side B'A' has a slope of 1 and is parallel to side BA.
3) Side B'A' has a slope of 1 and is perpendicular to side BA.
4) Side B'A' has a slope of −1 and is parallel to side BA.
The correct option is;
1) Side B'A' has a slope of -1 and is perpendicular to side BA
Step-by-step explanation:
The given coordinates are;
A(3, 5) B(1, 3), C(5, -1) and D(7, 1)
The slope of BA is found as follows;
[tex]Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1[/tex]
Rotation of a line through 90 degrees gives
(x, y) will be (y, -x)
Therefore, the coordinates of A' = (5, -3)
The coordinates of B' = (3, -1)
Then the slope is given as follows;
[tex]Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1[/tex]
Therefore side B'A' has a slope of -1 and is perpendicular to side BA.
Option (4) will be the correct option.
Coordinates of the vertices of rectangle ABCD are,
A(3, 5), B(1, 3), C(5, -1) and D()Slope of a segment with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of segment BA (m₁) = [tex]\frac{3-5}{1-3}[/tex] = 1
If a point (h, k) is rotated 90° clockwise about the origin, rule to be followed,
(h, k) → (-k, h)
Following this rule,
B(1, 3) → B'(-3, 1)
A(3, 5)→ A'(-5, 3)
Slope of segment B'A' (m₂) = [tex]\frac{1-3}{-3+5}=-1[/tex]
Expression representing two segments with slopes [tex]m_1[/tex] and [tex]m_2[/tex] to be perpendicular,
[tex]m_1\times m_2=-1[/tex]
Since, slopes of two segments BA and B'A' are (1) and (-1).
(1) × (-1) = -1
Therefore, both the segments BA and B'A' will be perpendicular.
Option (4) will be the answer.
Learn more,
https://brainly.com/question/16949200
Complete the following: 2197 is the CUBE root of ______
kinda stuck on this question. please help?
Answer:
The answer is b
Step-by-step explanation:
I know this because a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression and since 9 is being multiplied by x that would mean 9 is a coefficient in this expression.
The length of the sides of a triangle from a G.P. The length of the longest side exceeds that of the shortest side by 9cm. The perimeter of the triangle is 61cm. Find the length of each side.
Take sides as [tex] a, \: ar, \: ar^2[/tex]
Find the upper bonds for the following lengths : a) 40cm measured to the nearest cm
B)82.8cm measured to the nearest tenth of a cm
Answer: a= 40.5 b= 82.85
Step-by-step explanation:
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer:
(2,7)
Step-by-step explanation:
y=6x-5
y=x+5
Since they are both equal to y, set them equal to each other
6x-5 = x+5
Subtract x from each side
6x-x-5 = x+5-x
5x-5 = 5
Add 5 to each side
5x-5 +5 = 5+5
5x=10
Divide by 5
5x/5 = 10/5
x=2
y = x+5
y = 2+5
y =7
Answer:
Choice C: (2,7)
Step-by-step explanation:
Using substitution method let y = x + 5
We have x + 5 = 6x - 5
Get let’s get rid of the 6x, so -5x + 5 = -5
Get rid of the 5 by subtracting by 5, so -5x = -10
Divide -5 on both sides and you get x = 2
Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.
So (2,7)
Please mark BRAINLIEST!
∠A and ∠B are complementary. If m∠B = 64° , what is the measure of ∠A?
26°
36°
11°
64°
Answer: 26
Step-by-step explanation:
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then
∠A + ∠B = 90
∠A =90- ∠B
∠A = 26
Answer:
The measure of [tex]\angle A[/tex]:
[tex]\angle A = 26\textdegree[/tex]
Step-by-step explanation:
Since both [tex]\angle A[/tex] and [tex]\angle B[/tex] are complementary (Which they both add up to 90°), and you want to find the measure of
Measure of [tex]\angle A[/tex]: unknown
Measure of [tex]\angle B[/tex]: 64°
Finding the measure of [tex]\angle A[/tex]:
[tex]90 - 64 = 26[/tex]
[tex]\angle A = 26\textdegree[/tex]
So, the measure for [tex]\angle A[/tex] is [tex]26\textdegree[/tex].
which expression is equivalent to
Answer:
3
Step-by-step explanation:
"" = x^(0.5*(-2))*y^(-0.25*(-2))*z^(-2) = x^(-1)*y^(0.5)*z^(-2) =
(1/x^1)*y^(0.5)*(1/z^2) = 3
Answer:
Third one.
Step-by-step explanation:
The exponent negative 2 applies to all that's in the bracket. So, x^1/2 times exponent negative 2 equals x to the power negative one. And y to the power negative half and z to the power negative 2. Therefore, x^-1 = 1/x and y^1/2 remains same and z^-2 = 1/ z^2.
Mark is making concrete. Concrete is made by mixing cement, sand and gravel in the ratio 1:2:3. Mark wants to make 600kg of concrete. How much sand does Mark need
Answer:
200 kg
Step-by-step explanation:
To satisfy the ratio 1:2:3, Mark must use 100 kg cement, 200 kg sand, and 300 kg gravel
Answer:
6 kg
Step-by-step explanation:
if i have 85 lessons and only 42 days to complete them how many lessons would i have to do a day to finish on time?
Answer:
At least 3 per day
Step-by-step explanation:
All you gotta do is divide 85 by 42. You get 2.024 but you can't do .024 parts of a class, i mean you probably can but its finna be hard to do it exact so just do 3 per day and you'll even finish before. By the way, if this is an actual scenario, you gotta remember that they be adding lessons everyday so good luck!
Find F(5) for f(x)= 1/4 (2)
Answer:
a2+2a+2
Step-by-step explanation:
Find F(5) for f(x)= 1/4 (2) the answer is a2+2a+2
If b=5, then 4^1•4^b is equal to?
[tex]solution \\ b = 5 \\ {4}^{1} . {4}^{b} \\ = {4}^{1} . {4}^{5} \\ = 4 ^{1 + 5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 4096 \\ [/tex]
hope it helps...
Good luck on your assignment
Answer:
[tex] = 4096[/tex]
Step-by-step explanation:
Given that,
[tex]b = 5[/tex]
Let's solve now.
[tex] = {4}^{1} \times {4}^{b} \\ = {4}^{1} \times {4}^{5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 16 \times 16 \times 16 \\ = 256 \times 16 \\ = 4096[/tex]
If 3 inch square is covered with 1inch squares how many of the 1 inch squares are needed? What is the area of the larger square
Answer:
9 1-inch squares will cover the bigger square. Its area is the same as the amount of squares needed, 9 inches.
the larger Area will be 9 square inch.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
To cover a 3 inch square with 1 inch squares, we can arrange the 1 inch squares in a 3 by 3 grid.
So, we need 9 of the 1 inch squares to cover the 3 inch square.
The area of the larger square can be found by squaring the length of one of its sides.
Since the side length of the 3 inch square is 3 inches, the area of the larger square is:
Area = (side length)² = 3² = 9 square inches
Therefore, the larger Area will be 9 square inch.
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ2
If trapezoid JKLM is translated according to the rule (x,y)—> (x+2, y - 6), what are the coordinates of point L
Answer:
( x, y) is translation '2' units right and '6' units down
(x ,y))—> (x +2 ,y-6)
Step-by-step explanation:
Explanation:-
Type of transformation change to co-ordinate point
vertical translation up 'd' units (x,y) changes to (x , y+d)
vertical translation down 'd' units (x,y) changes to (x , y-d)
Horizontal translation left 'c' units (x,y) changes to (x-c , y)
Horizontal translation right 'c' units (x,y) changes to (x+c , y)
Now by use above table
given data ( x, y) is translation '2' units right and '6' units down
(x ,y))—> (x +2 ,y-6)
Final answer:-
( x, y) is translation '2' units right and '6' units down
(x ,y))—> (x +2 ,y-6)
HIIII HELP ME ME HE HE
Answer:
x = 28
y = 32
Step-by-step explanation:
3
4
(x−12)=12
(
3
4
)(x)+(
3
4
)(−12)=12(Distribute)
3
4
x+−9=12
3
4
x−9=12
Step 2: Add 9 to both sides.
3
4
x−9+9=12+9
3
4
x=21
Step 3: Multiply both sides by 4/3.
(
4
3
)*(
3
4
x)=(
4
3
)*(21)
x=28
Answer:
x=28
3
4
y−12+12=12+12
3
4
y=24
Step 2: Multiply both sides by 4/3.
(
4
3
)*(
3
4
y)=(
4
3
)*(24)
y=32
Answer:
x = 28
y = 32
Step-by-step explanation:
Equation 1:
First, we will distribute the 3/4 to everything in the parentheses like this:
[tex]\frac{3x}{4} - \frac{36}{4} = 12[/tex]
We can simplify the 36/4 down like this:
[tex]\frac{3x}{4} - 9 = 12[/tex]
We can add the 9 to the other side:
[tex]\frac{3x}{4} = 21[/tex]
Then multiply the 4 to the other side
[tex]3x = 84[/tex]
Finally, we can divide by 3
[tex]x = 28[/tex]
Equation 2:
We can add 12 to the other side:
[tex]\frac{3y}{4} = 24[/tex]
Then multiply 24 by the 4
[tex]3y = 96[/tex]
Then divide by 3
[tex]y = 32[/tex]
The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers.
Answer:
86
Step-by-step explanation:
1. a+b=14 ⇒ a= 14-b
2. 10a+b=18+10b+a ⇒ a= 2+b
comparing 1 and 2:
14-b= 2+b ⇒ 2b= 12 ⇒ b= 6
a= 14-b= 8
number = 86
reversed number = 68
A factory makes 750 cakes every day. The cakes are orange cakes or lemon cakes. Each day Aadil takes a sample of 25 cakes to check. The proportion of the cakes in his sample that are orange is the same as the proportion of the cakes made that day that are orange. On Monday Aadil calculated that he needed exactly 7 orange cakes in his sample. a) What is the total number of orange cakes that were made on Monday
A) 210
B) 0.18
Step-by-step explanation:A) On Monday, 7/25 of the 750 are orange cakes. 7/25 x 750 = 210
B) If the proportion of orange cakes is 5/25 where 5 is correct to the nearest whole number, then the 4.5 would be the lowest number that would still be rounded up to 5. 4.5/25 = 0.18