Answers
The area of Rachel's bedroom is 72 square feet. The bedroom area that is eight times of Rachel's closet. The length of the closet if it is 3 feet wide is 3.
Given that,
The area of Rachel's bedroom is 72 square feet. The bedroom has an area that is eight times that of Rachel's closet.
We have to find what is the length of the closet if it is 3 feet wide.
First we divide the area of Rachel's bedroom is 72 square feet and eight times that of Rachel's closet.
72/8=9
Now, we multiply 3 and the length as l is equal to 9 feet wide
3×l=9
l=9/3
l=3
Therefore, The length of the closet if it is 3 feet wide is 3.
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Related Questions
in the diagram below, all the measurements are given correct to the nearest cm. Not drawn o scale 15 cm 21 cm 28 cm 42 cm Calculate the greatest possible area of the shaded region.
Answers
Using the diagram and given measurements the area of the shaded potion is solved to be 46 cm^2
How to find the area of the shaded portionArea of the shaded portion is solved using the following factors
Entire area of the rectangleArea of the smaller rectangleEntire area of the rectangle
= length * width
= 42 * 21
= 882 cm^2
Area of the smaller rectangle
= length * width
= 28 * 15
= 420 cm^2
Area of the shaded portion
= Entire area of the rectangle - Area of the smaller rectangle
= 882 cm^2 - 420 cm^2
= 462 cm^2
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machine A creates 6 products in 20 minutes .machine B can create the same products at a rate of 1 product per 4 minutes which machine works faster
Answers
Answer: Machine A is faster
Step-by-step explanation:
1) Make them into fractions.
Machine A: 6/20
Machine B: 1/4
2) Make the denominator the same
Machine A: 6/20
Machine B: 1/4 * 5/5
Machine A: 6/20
Machine B: 5/20
6/20 > 5/20
Machine A > Machine B
plsss help i just need help on how to do it i’ll give brainliest
Answers
The expression that represents the perimeter of the other shape is 9x + 6y.
Option(b) is the correct one.
What is an Expression in Math?Expressions in mathematics are mathematical statements that comprise at least two terms that contain numbers, variables, or both, and are joined by an operator. Addition, subtraction, multiplication, and division are all examples of mathematical operators.
Given:
Expression for the sum of the perimeter of two shapes = 13x + 4y
Expression for the perimeter of one shape = 4x - 2y
Expression for the perimeter of the other shape is,
(13x + 4y) - (4x - 2y)
= 13x - 4x + 4y + 2y (combine the like terms and solve)
= 9x + 6y
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Write an equation that expresses the following relationship: x varies directly as a and inversely as the difference between y and z. Then solve the equation for y
Write an equation that expresses the given relationship. Use k as the constant of variation.
Answers
Answer:
Where is question
Step-by-step explanation:
Sorty
Use properties of rational numbers to multiply the following.
-10.8 × (-54.3)
A.
586.44
B.
-586.44
C.
58.644
D.
-58.644
Answers
It is important to note that when multiplying two rational negative number, the negative sign disappears.
In simpler terms, a negative multiplied by a negative is positive.
That rule eliminated choices B and D.
Since this is multiple choice, all you’d have to do is take 10 and multiply by 54 to get 540, to get a number close to the actual answer (multiplying by 10 is easy). This method automatically eliminates C since C is nowhere close to 540.
The half-life of a radioactive
substance is the time required for half of a sample to undergo radioactive decay, or for the quantity to fall to half its original amount. Carbon 14 has a half-life
of 5730 years. Suppose given samples of carbon 14 weigh 5/8 of a pound and 7/8 of a pound. What was the total weight of the samples 11,460 years ago?
Answers
The total weight of the samples 11,460 years ago is 6 pounds
What is Exponents?
Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as b^n and is pronounced as "b to the n."
The exponential process of radioactive decay is depicted by
[tex]A_{t}[/tex] =[tex]A_{0}[/tex] [tex]e^{-kt}[/tex]
where = Amount of the radioactive element after t years
[tex]A_{0}[/tex] = Initial amount
k = Decay constant
t = time in years
The carbon-14 half life is 5730 years.
[tex]A_{0}[/tex]/2 = [tex]A_{0}[/tex][tex]e^{-5730k}[/tex]
1/2 = [tex]e^{-5730k}[/tex]
At this point, we take ln (Natural log) on both sides.
ln(1/2) = ln [ [tex]e^{-5730k}[/tex]]
-ln(2) = -5730kln(e)
0.69315 = 5730k
k = 0.69315 / 5730
k = 1.21 x [tex]10^{-4}[/tex]
We now need to determine the weight in pounds of the C-14 samples that were taken for the remaining quantities.
5/8 =[tex]A_{0}[/tex] [tex]e(^{-1.21 * 10^{-4} * 11460})[/tex]
5/8 = [tex]A_{0}[/tex] [tex]e(^{-1.3863})[/tex]
[tex]A_{0}[/tex] = (5/8) [tex]e(^{-1.3863})[/tex]
[tex]A_{0}[/tex] = 5/8 x 4
[tex]A_{0}[/tex] = 5/2
[tex]A_{0}[/tex] = 2.5pounds
Similarly for 7/8 pound
7/8 = [tex]A_{0}[/tex] [tex]e(^{-1.21 * 10^{-4} * 11460 })[/tex]
7/8 = [tex]A_{0}[/tex] [tex]e(^{-1.3863 })[/tex]
[tex]A_{0}[/tex] = (7/8) [tex]e(^{-1.21 * 10^{-4} * 11460 })[/tex]
[tex]A_{0}[/tex] = 7/8 x 4
[tex]A_{0}[/tex] = 7/2
[tex]A_{0}[/tex] = 3.5 pounds
Hence, The total weight of the samples 11,460 years ago 2.5 + 3.5 = 6pounds
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in a multiple regression analysis involving two independent variables, if b1 is computed to be 2.0, it means that
Answers
In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .
What is multiple regression analysis?Multiple regression is a statistical method that may be used to assess a single dependent variable and several independent variables. Multiple regression analysis use known independent variables to anticipate the value of a single dependent variable. Each predictor value is assigned a weight, which indicates how much each predictor contributed to the overall forecast.
CalculationIn a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .
The estimated value of Y increases by an average 2 units for each increase of 1 unit of X1, holding X2 constant.
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Help please! :)
Directions: Answer each question below, showing all pertinent work.
Solve all using Estimate.
A. –42.3 ÷ 3.4
B. 16.1 – (–14.7)
C. –15.52 + 54.25
D. ‐67.8 ‐ 5.72
1.Brock had $3084 in his checking account. He wrote checks for $350 for rent, $275 for auto repair, and
$169 for a loan payment. Find the amount remaining in his account.
2.Linda’s paycheck was for $2312. She spent $157 on rent, $322 on food, $478 on child care, $234 on
transportation, and $290 on other things. She put the rest of her paycheck in savings. How much did
she put in savings?
Answers
A1) Using estimate, the solutions to the following are:
A) is -14.
B) is 31.
C) is 38.
D) is -74.
1. The remaining amount in Brock's account after writing the checks is $2,290.
2. Linda put $831 in her savings account after meeting her expenses.
What is an estimate?An estimate is a rough calculation.
To do an estimate, the figures may be appropriated or rounded up.
Estimates:A. –42.3 ÷ 3.4
= -14 (–42 ÷ 3)
B. 16.1 – (–14.7)
= 31 (16 – (–15)
C. –15.52 + 54.25
= 38 (–16 + 54)
D. ‐67.8 ‐ 5.72
= -74 (‐68 ‐ 6)
Brock:The amount in Brock's checking account = $3,084
Checks:
Rent $350
Auto repair $275
Loan payment of $169
Total amount for checks = $794
Remaining amount = $2,290 ($3,084 - $794)
Linda:The total amount of the paycheck = $2,312
Expenses:
Rent $157
Food $322
Child care $478
Transportation $234
Miscellaneous expenses $290
Total expenses = $1,481
Savings account = $831 ($2,312 - $1,481)
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How do you solve (x+3)^2=121? Sorry it's been a while...
Answers
Answer: x = 8
Step-by-step explanation:
(x + 3)^2 = 121
Take the square root of both sides
x + 3 = 11
x = 8
Plug it back in to double check
(8 + 3)^2 = 121
(11)^2 = 121
121 = 121
(y-1.1)(-3y)
= (y) ( ) ( ) (-3y)
= -3y __ __ 3.3
Answers
i feel like god oo yeah i feel like god oo yeah take my glasses of i can seethm
ez xd trash lol imagine needing brainly trash ah
Step-by-step explanation:eeeezzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
PLS HELP GEOMETRY WILL GIVE BRAINLIEST
Given: line c is parallel to line d, and angle 1 is congruent to angle 7,
Prove: line a is parallel to line b
Answers
By corresponding angle we prove a parallel line a ║ b .
What is an example of parallel lines?
Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. They may be vertical or horizontal. Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.Lines that are always the same distance apart in a plane are said to be parallel. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.Given, c ║d
∠1 ≅ ∠7
∠1 = ∠3 ( corresponding question)
∠5 = ∠7 ( corresponding question)
then a ║ b
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HELP ASAP GIVE BRAINLY TO RIGHT ANSWER ONLY!!!
Answers
Graph D shows the line y - 4 = 2 (x + 1).
slope: 2
How do you represent a equation on a graph?The act of displaying linear equations with one or two variables on a graph is known as "graphing linear equations." A linear equation is a one-degree equation, meaning that the variable's highest power or exponent value may never be more than 1, under any situation. Finding the values of the variables in a linear equation is known as solving it. The graphical approach is one way to solve linear equations, which can have one or two variables.
They are algebraic equations with 2 variables of maximum power 1 and real constants in each term. The linear equation is shown in y=mx+b form, sometimes referred to as the y-intercept form.
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22 Here is a right-angled triangle.
Work out the value of x.
4 cm
8.5 cm
xcm
Answers
x = 7.5 cm is value of v by Pythagorean theorem.
What is the Pythagorean theorem ?
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the total of the squares on the legs.For an acute triangle, c2 a2 + b2, where c is the side across from the acute angle, given the Pythagorean Theorem that states a2 + b2 = c2. For a right triangle, c is the side of the 90-degree angle and c2 = a2 + b2.use Pythagorean theorem in triangle,
8.5² = 4² + x²
72.25 = 16 + x²
72.25 - 16 = x²
56.25 = x²
x = √56.25
x = 7.5 cm
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Of the following situations, which is best represented by the product
5x-3
A
The amount of money a snack bar earns for selling 333 sandwiches for $555 per sandwich
B
The change in elevation of a submarine as it sinks 333 meters every second for 555 seconds
C
The change in temperature as it decreases 555 degrees every hour for 333 hours
D
The height of a child who grew 333 inches each year for 555 years
i need the answer fast pls
Answers
Answer: b
Step-by-step explanation:
Find the 60th term of the arithmetic sequence −29, -49, −69,
Answers
We see, the second number is 20 less than the first number, the third number is 20 less than the second number, ..
So, the pattern is : We minus 20 from a term to get the next term right after.
From the 1st term to the 60th term, there are 59 spaces.
Therefore, the 60th term = -29 - 59 x 20 = -1209
if a regression model is constructed from the data given here, what is the residual for the prime interest rate of 8%? bond rate in 5% 12% 9% 14% 7% prime interest rate 14% 6% (x) 8% 5% 7% o a 11.12 o b.-5.16 o cobb od.-0.88
Answers
The residual for the prime interest rate is 0.88.
What is a regression equation?
An equation created to explain the relationship between independent and dependent variables is known as an estimated regression equation in statistics.
The relationship between the dependent and study variables is first hypothesized using a simple or multiple regression model. The most popular technique for creating estimates of the model variables is the least squares method.
Predicting the worth of the dependent variable while values for the predictor factors are known is one of the main uses of both the estimated regression equation.
From the given regression model,
n = 5
∑X = 40
∑Y = 47
∑XY = 333
∑X² = 370
n∑X.Y - ∑X.∑Y = -215
n∑X² - (∑X)² = 250
∑Y.∑X² - ∑X∑XY = 4070
FOR REGRESSION EQUATION
a= ( ∑Y.∑X² - ∑X∑XY )/ (n∑X² - (∑X)² ) = 16.28
b = (n∑X.Y - ∑X.∑Y) / (n∑X² - (∑X)² ) = -0.86
ŷ = b x + a = -0.86 x + 16.28
predicted value at x = 6 ;
ŷ = (-0.86 * 6) + 16.28 = 11.12
Residual = y - ŷ = 12 – 11.12 = 0.88
The residual for the prime interest rate is 0.88.
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At class meeting, Jeff, Chad, and Lane ate a total of 254 marshmallows in the marshmallow-eating contest. Jeff won by eating 7 more marshmallows than Chad, who ate 5 more than Lane. How many marshmallows did Jeff eat?
Answers
The equation is formed and solved below.
What is an equation?
A mathematical equation is a calculation that uses the matching sign to represent the similarity of two expressions. A polynomial equation is the most prevalent kind of equation. An equation can be compared to a scale on which objects are weighed. When the two pans are filled with the same amount of anything (like grain), the scale will balance and the weights will be considered equal. To maintain the scale in balance, if any grain is taken out of one of the balance's pans, an equal amount must be taken out of the other pan. More broadly, if the identical operation is carried out on both sides of an equation, the equation remains in balance.
Lane ate = x marshmallows (let)
Chad ate = x + 5 marshmallows
Jeff ate = (x + 5) + 7 = x + 12 marshmallows
Then, the equation formed is
x + x + 5 + x + 12 = 254
The equation is solved as
3x + 17 = 254
or, 3x = 254 - 17
or, x = 237/3 = 79
Jeff ate = 79 + 12 = 91 marshmallows
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a bank sends its customers an e-mail when their accounts fall below -10$. Which inequality models this situation??
Answers
The inequality which models the given situation will be;
⇒ x < - $10
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The condition is;
''A bank sends an e-mail to its customers when their accounts fall below -10$.
Now,
Let the total balance in his account = x
Then, we can formulate;
The inequality for the given situation is;
⇒ x < - $10
Therefore,
The inequality which models the given situation will be;
⇒ x < - $10
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Jack is baking a cake. the recipe says that it must bake for 2 1/2 hours it has been baking for 3/4 hours how much longer must to bake? PLEASE HELP AND EXPLAIN TYSM
Answers
Answer:
Step-by-step explanation:
60 divided by 4 is 15 so 1/4 of an hour is 15 minutes. so three fourths is 45 minutes and one hour and a half is the extra hour that has not been touched so add the last 15 min from the 3/4 onto that so it still has 1 hour and 45 minutes to bake
Answer:
It still has to bake for 1 3/4 hours
Step-by-step explanation:
So, the way I do it, you start by making 2 1/2 an improper fraction, which would be 5/2. Then, you have to get it so 5/2 and 3/4 have common denominators. The fastest way to do this is to multiply the denominator 2 by 2, which means you have to do the same to the numerator. So, you have 10/4-3/4, which equals 7/4. Now, you can simplify. 7/4 = 1 3/4
a college has over 5{,}0005,0005, comma, 000 students, 10\, percent of which are left-handed. a new lecture hall is being planned that will seat 300300300 students, and college officials want to be sure there are enough left-handed desks. suppose we randomly select groups of 300300300 students from this college. what are the mean and standard deviation of the number of left-handed students in each group of 300300300? you may round your answers to the nearest tenth.
Answers
The mean of the given data is 30 students and the standard deviation is 5.2.
What is standard deviation?
The standard error of either a statistic (such as the sample mean) and the standard deviation of a sample or population are fundamentally separate but related concepts.
The standard deviation of the collection of means that would be discovered by taking an unlimited number of multiple samples from the population and calculating a mean for each sample is the sampling mean's standard error.
The sample standard deviation reduced by the sample size is used to estimate the mean's standard error, which turns out to be equal to the population variance times the square root of the random sample.
Given that,
5,000 students, 10 % of which are left-handed.
A new lecture hall is being planned that will seat 300 students.
The mean is 30 students
standard deviation is 5.2 students
The mean of the given data is 30 students and the standard deviation is 5.2.
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tacoma's population in 2000 was about 200 thousand, and has been growing by about 9% each year. if this continues, what will tacoma's population be in 2010?
Answers
4,31,784.999454 will be the population of Tacoma in 2010 .
What is exponents ?The exponent of a number is the number of times it is multiplied by itself.
Positive, negative, zero, and rational/fractional exponents are the four kinds.
The value of the number may be deduced from the exponent, which is the total number of times the base number must be multiplied by the same base.
CalculationIf the population at the beginning of 2000 was 200,000
Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1
At the end of 2015 or 2010-2000 = 15 years later, or at the end of the 15th year:
Population P(10) = (200,000)(1.08)10 = 4,31,784.999454
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Multiply.
3c^6(9c+4c^3)
Simplify your answer as much as possible
Answers
Answer:
[tex]12c⁹+27c⁷[/tex]
Step-by-step explanation:
3c⁶(9c+4c³)
=(3c⁶)(9c+4c³)
=(3c⁶)(9c)+(3c⁶)(4c³)
=27c⁷+12c⁹
=12c⁹+27c⁷
ten is ________ of two and 5
Answers
Ten is the product of two and five.
What does product mean?Product is the result of the multiplication process. Multiplication is a mathematical operation that entails adding a number repeatedly over a number of times. The sign that is used to represent multiplication is ×.
In order to determine the product of 2 and 5, add to five times.
2 + 2 + 2 + 2 + 2 = 10
This is usually written as 2 x 5 = 10
Other mathematical operations are addition, subtraction and division. Addition is the process of determining the sum of two or more numbers. Subtraction is the process of finding the difference between two or more numbers. Division is the process of determining the quotient of a number.
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Simplify 3/8 (16 R +32)
a 8R +12
B 48R +96
C 120R +256
D 42R +85
Answers
Answer:
6R+12
Step-by-step explanation:
Your options are wrong maybe...
3/8(16R+32)
= 6R+12
15. pls help need to turn in asap by midnight
Answers
The equation of a line in the point-slope form will be:
(y2 - y1) = m (x2 - x1)
As per the table, the equation of this line in the point-slope form will be:
(30 - 25) = m (130-120)
Now,
(30 - 25) = m (130-120)
⇒ 5 = m (10)
⇒ m = 10/5 = 2
So, the slope of this line = m = 2
In the Slope - Intercept form, the equation is written as:
y = mx + c
⇒ y = 2x + c
The value of c = 0.
What is the Slope of a line?A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. A common symbol for slope is the letter m. Finding the ratio of "vertical change" to "horizontal change" between any two distinct points on a line yields the slope. The ratio can also be written as a quotient, which produces the same number for every two different points on the same line. A negative "rise" refers to a decreasing line. The line could be functional, set by a road surveyor, or depicted in a diagram that represents a road or a roof as a description or a plan.The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn in one of four directions: upward, downward, horizontal, or vertical.To learn more about the Slope of a line, refer to:
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Answer the following
Answers
Answer:
Don't know
Step-by-step explanation:
A football team scored 3 touchdowns 3 extra points and 4 field goals write an expression to represent the total points the football team scored
Answers
Expression to represent the total points 3t + 3e + 4f
What is Algebra?
Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics.
Let t represent the number of points for a touchdown, e represent the number of points for the extra point and f represent the number of points for a field goal.
Total points = 3(t) + 3(e) + 4(f)
= 3t + 3e + 4f
Hence, Expression to represent the total points the football team scored
3t + 3e + 4f
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1. The distance between two cities on the map was 6.5 cm. If the scale of the picture is 1:5000000, find the distance between the two cities.
2. How many centimeters can be used to represent a distance of 650 km on a map with a scale of 1:1500000?
3. If the distance between Ulaanbaatar and Choibalsan is 630 km, and the distance between these cities is shown on the map as 7 cm, find the scale of the map.
Answers
Considering the given scale, it is found that:
1. The distance between the two cities is of 325 km.
2. 43.3 cm should be used to represent the distance.
3. The scale of the map is of 1:9000000.
What is a scale?A scale is how much each unit in the drawing represents in actual distance.
For item 1, the scale of 1:5000000 means that each unit on the graph represents 5,000,000 units of actual distance.
The distance on the map is of 6.5 cm, hence the actual distance is of:
6.5 x 5000000 = 32,500,000 cm = 325 km.
For item 2, the scale is of 1:1500000, meaning that each cm of drawing is equivalent to 1,500,000 cm of real distance = 15 km.
Hence, the number of centimeters to represent a distance of 650 km is given by:
650/15 = 43.3 cm.
For item 3, we have that 7 cm represent 630 km = 63,000,000 cm, hence:
63,000,000/7 = 9000000.
Meaning that the scale is given by:
1:9000000.
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the city of raleigh has 7600 registered voters. there are two candidates for city council in an upcoming election: brown and feliz. the day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 128 said they'd vote for brown, 101 said they'd vote for feliz, and 21 were undecided.
Answers
This sample statistic suggests that we might expect 2833 of the 7,600 registered voters to vote for Brown.
Due to that, There are 7,600 registered voters in Raleigh. Brown and Feliz are the two candidates running for city council in the upcoming election. A telephone survey of 550 randomly chosen registered voters was performed the day before the election. 205 people declared they would support Brown, 317 people would support Feliz, and 28 people were unsure.
The sample statistic for the proportion of voters surveyed who said they'd vote for Brown can be calculated as follows:
p = 205/550 =0.3727
Expected number of voters who vote for Brown:
The expected number of voters who vote for Brown can be calculated as follows:
E voters who vote for Brown =7600 *0.3727=2832.52= 2833 (Approx.)
This sample statistic suggests that we might expect 2833 of the 7,600 registered voters to vote for Brown.
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If the quadratic formula is used to find
the roots of the equation 2x² - 5x - 12
= 0, then what are the correct roots?
Answers
The two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.
What is defined as the quadratic formula?A quadratic equation is just a polynomial with a second degree first term. There are several methods for determining the roots, or solutions, of such a quadratic equation. Every quadratic equation has two solutions, that might or might not be real numbers. The quadratic formula is a simple method for resolving a quadratic equation. whether the answer is a whole number, an irrational number, or perhaps an imaginary numberIf the quadratic equation is ax² + bx + c = 0.
Then, the roots are given by x = [-b ± √(b² - 4ac)]/2a.
The quadratic equation is given as; 2x² - 5x - 12 = 0.
On comparing with the standard form;
a = 2b = -5c = -12Put the values in the formula,
x = [-b ± √(b² - 4ac)]/2a.
x = [-(-5) ± √((-5)² - 4×2×(-12))] / 2×2
On simplification,
x = [5 ± 11]/4
There will be two roots of equation,
a; x = [5 + 11]/4
x = 16/4 = 4
b ; x = [5 - 11]/4
x = 6/4 = 1.5
Thus, the two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.
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