.4/5 (1/4 c − 5) rewrite the expressions by using the distributive property and collecting like terms.
Answers
To solve the given question, we need to use the distributive property and collect like terms. In summary, the distributive property is a useful tool in simplifying expressions.
First, we need to distribute the fraction 4/5 to the expression inside the parenthesis, which gives us 4/5 x 1/4c - 4/5 x 5. Then, we can simplify the expression by multiplying the two fractions and combining the terms. This gives us (1/5)c - 4.
Therefore, the simplified expression is (1/5)c - 4. We can use this expression to evaluate the given expression for any value of c. For example, if c = 15, then the expression becomes (1/5) x 15 - 4 = 3 - 4 = -1.
In summary, the distributive property is a useful tool in simplifying expressions.
By distributing a term to each term inside a set of parentheses, we can collect like terms and simplify the expression. In this case, we used the distributive property to simplify a fraction and a constant and then combined the like terms to obtain the final answer.
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Related Questions
What is the place value of the "5" in the number 15,436,129? A. Billions B. Hundred Thousands C. Trillions D. Millions
Answers
Answer:
A. Billions
Step-by-step explanation:
Five is 7 spots over from the decimal spot. This means there are six zeros before five. 5,000,000.
This is the billions place value.
If you can buy one can of pineapple chunks for $2 then how many can you buy with $10?
(round to the nearest whole number)
Answers
pls answer. On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0). What is the range of the function on the graph? all real numbers all real numbers less than or equal to –1 all real numbers less than or equal to 3 all real numbers less than or equal to 0
Answers
Range: All real numbers greater than or equal to 3. The Option C.
What is the range of the function on the graph formed by the line?To find the range of the function, we need to determine the set of all possible y-values that the function takes.
Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.
Therefore, the range of the function is all real numbers greater than or equal to 3.
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sugar is packed in 10 ounce bags. If 36 measure sample with a mean
of 9.95 ounces in a standard deviation of 0.4 ounces what is the
99% confidence interval estimate of the population mean?
Answers
The 99% confidence interval estimate of the population mean for sugar packed in 10 ounce bags is approximately 9.88 to 10.02 ounces.
To calculate the confidence interval, we use the formula:
Confidence Interval = sample mean ± (critical value * standard deviation / square root of sample size)
Given that the sample mean is 9.95 ounces, the standard deviation is 0.4 ounces, and the sample size is 36, we need to determine the critical value for a 99% confidence level.
Using a t-distribution table or statistical software, we find that the critical value for a 99% confidence level with 35 degrees of freedom is approximately 2.72.
Plugging in the values into the formula, we have:
Confidence Interval = 9.95 ± (2.72 * 0.4 / √36)
Confidence Interval = 9.95 ± (2.72 * 0.0667)
Confidence Interval ≈ 9.95 ± 0.1814
Therefore, the 99% confidence interval estimate of the population mean for sugar packed in 10 ounce bags is approximately 9.88 to 10.02 ounces. This means that we can be 99% confident that the true population mean lies within this range based on the given sample.
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6-5d>21 solve for d?
Answers
Answer:
6-5d>21 solve for d? D=<-3
Find an equivalent ratio in simplest terms: 70:40
Answers
Answer:
7:4
Step-by-step explanation:
70 / 2 : 40 / 2
35:20
35 / 5 : 20 / 5
7:4
What number is represented by point A? Explain or show how you know. Point A is between the__ th and__ th tick marks. Once you zoom in, you can see that the decimal would be__ So the number could be represented by the expression__times 10 to the __th power.
Answers
Point A is between the 7th and 8th tick marks. Once you zoom in, you can see that the decimal would be 7.4. So the number could be represented by the expression 7.4 times 10 to the 11th power.
What is a number line?In Geometry and Mathematics, a number line refers to a type of graph that is usually composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.
In this scenario and exercise, we would determine the numerical value (number) that is represented by point A by solving as follows;
10¹² × 7/10 = 7 × 10¹¹
10¹² × 4/10 = 4 × 10¹¹
By adding the numbers, we have:
7 × 10¹¹ + 4/10 × 10¹¹ = 7.4 × 10¹¹
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
uhmmmm i have no idea what this is anone care to help? also good morning
Answers
Answer:
91.7 pieces per hour
Answer:
91 candies/hour
Step-by-step explanation:
Unit rate is just dividing the number of candies by the time frame. So,
275/3 = 91.67
We need to round down as we can't give a person 2/3 a candy. So,
91 candies/hour
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
Answers
All we need to do is solve for y.
\(y - 3 = 4(x + 2)\\\\y - 3 = 4x + 8\\\\y = 4x + 11\)
The answer is A. y = 4x + 11.
What is the equation for the nth term of the arithmetic sequence where a1 = 30 and d = –9?
an = 30 – 9n
an = 30 – 9(n – 1)
an = 30 + 9n
an = 30 + 9(n – 1)
Answers
The arithmetic sequence formula is obtained as -
Option B: an = 30 - 9(n - 1)
What is arithmetic sequence?
The nth term of an arithmetic progression is determined using the arithmetic sequence formula. The series where the common difference between any two next words stays constant is known as an arithmetic sequence.
The formula for arithmetic sequence is given as -
an = a1 + (n - 1)d
Here, a1 represents the first term, an represents the nth term and d represents the common difference between the terms.
The value for a1 is = 30.
The value for d is = -9
Substitute the values in the arithmetic sequence formula -
an = a1 + (n - 1)d
an = 30 + (n - 1)-9
an = 30 - 9(n - 1)
Therefore, the arithmetic sequence is an = 30 - 9(n - 1).
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ABCD is a quadrilateral
Work out the length of BC
Give your answer correct to 1 decimal place.
Answers
Using the law of cosines, the length of BC in the given quadrilateral is: 8.1 cm.
What is the Law of Cosines?The law of cosines that can be used to find the length of a side of a triangle with a known included angle and two sides is:
c² = a² + b² - 2 × a × b × Cos C.
Considering right triangle ABD,
BD = a
DC = b
BC = c
Use the Pythagorean theorem to find the length of BD in the quadrilateral as shown in the diagram:
BD = √(7.5² + 5²)
BD = √(7.5² + 5²)
BD = 9.0 cm
Use the law of cosines to find the length of BC:
BC² = BD² + DC² - 2 × BD × DC × Cos <BDC.
Substitute
BC² = 9.0² + 13² - 2 × 9.0 × 13 × Cos 38
BC² = 250 - 184.4
BC² = 65.6
BC = √65.6
BC = 8.1 cm
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Find y when x = 3, if y = -4 when x = -9
Answers
The value of y when x =3 is -12
Let the variable y be inversely proportional to x such that y = k/x
k = xyk is the variation constantIf y = -4 when x = -9, the value of k will be given as:
k = -9*-4
k = 36
To find the value of y when x = -3, we will use th relationship;
y = k/x
y = 36/-3
y = -12
Hence the value of y when x =3 is -12
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Caden earned $24 for cleaning his neighbor's house 6 times. If Caden charged the same rate and earned $40, how many times did he clean his neighbor's house? Use a unit rate to find the unknown value.
Answers
Answer:
2 time s=two then minus the neighbors kids
Step-by-step explanation:
A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08
Answers
Answer: $23.92
Step-by-step explanation:
First, we know that 6 bagels is $2.99.
48/6=8
This means that 6 is a multiple of 48, which makes it easier to solve.
$2.99 x 8 = 23.92
= $23.92
6 bagels for 2.99: 2.99/6
48 bagels for x cost: x/48
2.99/6 and x/48
2.99(48)=143.52
6(x)=6x
6x=143.52
/6 /6
x=23.92
The total cost is C: $23.92.
ill give brainliest!
please help
Answers
Answer:
it's correct option is
C. x > - 32
PLSS?? HELP??? ALGEBRA: EIGHTH GRADE EDITION
Answers
Answer:
y = -\(\frac{2}{5}\)x + 9
Step-by-step explanation:
slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept
an equation with the SLOPE (m) of -\(\frac{2}{5}\) and Y-INTERCEPT (b) of 9 would be
y = -\(\frac{2}{5}\)x + 9
outliers are extreme values above or below the mean that require special consideration. True/ False
Answers
Answer:
false
Step-by-step explanation:
outliers can be neglected especially when working out the mean
Therefore, The statement that "outliers are extreme values above or below the mean that require special consideration" is True.
Explanation:
Outliers are extreme values that lie significantly above or below the mean. They have special considerations because they can affect the interpretation of the mean and standard deviation. For instance, if an outlier is included in the dataset, the mean will be different from when it is excluded, making the mean unreliable. Therefore, outliers should be examined carefully to determine if they represent a genuine value or an error.
Therefore, The statement that "outliers are extreme values above or below the mean that require special consideration" is True.
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I-Ready find the measure of angle RST
Answers
Answer:
Step-by-step explanation:
You need an image for problem to be solved, please repost it with a image, so it can be solved
PLEASE ANSWER I WILL GIVE CORRECT ANSWER BRAINIEST!!!!!!
Answers
Everything has a slope of 3
Answer:
y = 3x
Table A.
Graph A.
The correct answer is A.
Step-by-step explanation:
Read the story
Bridgette and Naomi ran for sixth-grade class president. In the election, every sixth-
grade student voted for either Bridgette or Naomi, Bridgette received 5 votes for every 7
votes Naomi received.
Pick the diagram that models the ratio in the story.
Bridgette
Naomi
Bridgette
Naomi
If there are 240 students in the sixth-grade class, how many votes did Naomi receive?
votes
Submit
Answers
If there are 240 students in the sixth-grade class then the number of votes that Naomi received is: 336 votes.
How to solve algebra word problems?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Bridgette and Naomi ran for sixth-grade class president.
In the election, every sixth-grade student voted for either Bridgette or Naomi.
Bridgette received 5 votes for every 7 votes Naomi received.
the first figure represents 5:7 ratio in the story.
Since Bridgette received 5 votes for every 7 votes Naomi received, Bridgette received 5/7 of the total votes and Naomi received 2/7 of the total votes.
We know that the total number of votes cast is equal to the total number of students in the class, which is 240.
Therefore, we can set up the equation:
⁵/₇(x) + ²/₇(x) = 240
Simplifying the equation, we get:
(5x + 2x)/7 = 240
7x/7 = 240
x = 240 × 7/5
x = 336
Therefore, If there are 240 students in the sixth-grade class then Naomi received 336 votes.
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Help please!!
Question in picture!
Answers
Answer:
4x + 6y, 24
Hope you could get an idea from here.
Doubt clarification - use comment section.
PLEASE HELP IT WORTH 50 points!!!!!
Answers
-3(-2)=6
-3+-2=-5
(X-3)(x-2)
Answer:
(x-3) (x-2)
Step-by-step explanation:
\(x^{2}\) - 5x + 6
How to break down the equation and factorise it:
-3 x -2 = 6
-3 + -2 = -5
Final Answer:
(x-3) (x-2)
emily went shopping before going on vacation. she bought 3 pairs of shorts for $25 each, 5 tank tops for $23 each, 1 pair of sandals for $54, and 2 bathing suits for $40 each. how much money did emily spend?
Answers
Answer:
The money Emily spend is 324 dollars
Step-by-step explanation:
Given:
3 pairs of shorts= 25 dollars
5 tank tops = 23 dollars
1 pair of sandal = 54 dollars
2 bathing suits = 40 dollars
The total money spend on 3 pairs of shorts is 3 x 25=75
The total money spend on 5 tank tops is 5 x 23=115
The total money spend on 1 pairs of sandals =54
The total money spend on bathing suits is 2 x 40= 80
Adding them all= 75+115+54+80
= 324 dollars
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The amount Emily spent is $324
Multiplication is one of the four basic arithmetic operations, along with addition, subtraction, and division. In mathematics, multiplication means the repeated addition of groups of equal size.
The number of objects in each group is called the multiplicand,and the number of these equal groups is called the multiplier. Multiplication is represented by cross(×), asterisks (*) or dot (·).
We are given that
3 pairs of shorts = $25
5 tank tops = $23
1 pair of sandals = $54
2 swimsuits = $40
Total amount spent on 3 pairs of shorts is 3 x 25 = 75
The total amount spent for 5 increased shirts is 5 x 23 = 115
Total amount spent on 1 pair of sandals = 54
Total amount spent on swimwear is 2 x 40 = 80
Add them all up = 75 + 115 + 54 + 80
= $324
The amount Emily spent is $324
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Simplify the fraction in it lowest terms
44/60
Answers
Answer:
11/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
44/60=22/30=11/15
11/15
solve for p
4 (p - 9) < -12
Answers
Divide both sides by 4. Since 4 is >0, the direction of inequality remains the same.
\(\boldsymbol{\sf{p-9 < \dfrac{-12}{4} }}\)
Divide −12 by 4 to get −3.
p - 9 < -3Add 9 to both sides.
p < -3 + 9Add −3 and 9 to get 6.
p < 6Write down the possible values for n:
-15 < 3n ≤ 6
Answers
Step-by-step explanation:
Move all terms that do not contain nn from the middle section of the inequality.
−5 <n≤2 - 5 <n≤2
Answer:
- 4, - 3, - 2, - 1, 0, 1, 2
Step-by-step explanation:
Given
- 15 < 3n ≤ 6 ( divide the 3 intervals by 3
- 5 < n ≤ 2
Thus n can have values from - 4 to 2, that is
- 4, - 3, - 2, - 1, 0, 1, 2
The speed of light is 186,282 miles per second write the place name and the value of each eight in this number
Answers
Place name of eights are ten thousands place & tens place & 80000, 80 are the values respectively.
The expanded form of a number is splitting of numbers based on place value. The place are ones, tens, hundreds, thousands, ten thousand etc
that is, the number represented by the sum of each digit multiplied by its place value is called the expanded form of a number.
Example : Expanded form of 4567 is 4000+500+60+7. where 4 is in thousands place, 5 is in hundreds place, 6 is in tens place and 7 is in ones place.
Given that, The speed of light is 186,282 miles per second.
The number is 186282.
Expanding the number, we get,
186282 = 100000+80000+6000+200+80+2
Here in the number 186282, eight present in the ten thousands place and in the tens place.
Since one eight is in ten thousands place, so the value is 80000
And the another eight is in the tens place, so the value is 80.
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If your wages vary directly with how many hours you babysit, write the constant of
proportionality equation when w = 60 and h = 6.
W = wages
H = hours babysat
OPTIONS!!
1. W=1/10h
2. W=10H
3. H=10W
4. Y=1/10x
Answers
Among a group of students studying Pascal, COBOL, or FORTRAN, 49 are studying Pascal, 37 are studying COBOL, and 21 are studying FORTRAN. If 9 are studying Pascal and COBOL, 5 are studying Pascal and FORTRAN, 4 are studying COBOL and FORTRAN, and 3 are studying Pascal, COBOL and FORTRAN, how many students are in this group
Answers
The total number of students in the group can be determined by adding the number of students studying each programming language and subtracting the overlapping counts.
We are given the number of students studying Pascal, COBOL, and FORTRAN, as well as the number of students studying multiple programming languages.
Number of students studying Pascal (P) = 49
Number of students studying COBOL (C) = 37
Number of students studying FORTRAN (F) = 21
Number of students studying Pascal and COBOL (P ∩ C) = 9
Number of students studying Pascal and FORTRAN (P ∩ F) = 5
Number of students studying COBOL and FORTRAN (C ∩ F) = 4
Number of students studying Pascal, COBOL, and FORTRAN (P ∩ C ∩ F) = 3
To find the total number of students, we need to add the counts of students studying each language: P + C + F. However, we need to account for the overlapping counts. Therefore, we subtract the students studying multiple programming languages (P ∩ C + P ∩ F + C ∩ F) and add back the students studying all three (P ∩ C ∩ F).
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7.
2
a)
An open rectangular box measuring 28 cm by 20 cm
by 12 cm internally is made of woodcm thick. Find:
the capacity of the box in litres,
the volume of wood used in making the box,
the mass of the box if the density of the wood used is
1.25 g/cm3
b)
c)
J
28 82
Answers
Answer:
1. Capacity of the box in Litres: 7.917L≈8L
2. Volume of wood used in making the box: 1197cm^3
3. The mass of the box: 1496.25g/cm^3
Step-by-step explanation:
1. 29×21×13=7917cm^3
7917cm^3 → 7.917dm^3→7.917L≈8L
2. Outside Volume: 29×21×13=7917cm^3
Inside Volume: 28×20×13=6720cm^3
7917-6720=1197cm^3
3. 1197×1.25=1496.25g/cm^3