Answer:
The inequality would be 8+5x[tex]\leq[/tex]-28
Step-by-step explanation:
The sentence says "8 increased", this is telling you that the inequality includes the number 8 that is being added to something else.
"Product of a number and 5", this tells you that there is a variable that is being multiplied by 5.
"at most -28" means that it is less than or equal to -28.
The sentence 'Eight increased by the product of a number and 5 is at most -28' is translated into the inequality 8 + 5x <= -28, which simplifies to x <= -7.2.
Explanation:The sentence "Eight increased by the product of a number and 5 is at most -28" can be translated into the following inequality:
Let x be the unknown number. Then the product of this number and 5 would be 5x. According to the sentence, if you increase eight by this product (which is 8 + 5x), the result should be 'at most -28'. In mathematical terms, 'at most' means less than or equal to. So, the inequality that represents this sentence is:
8 + 5x ≤ -28
To solve the inequality, subtract 8 from both sides:
5x ≤ -28 - 8
5x ≤ -36
Finally, divide both sides by 5 to isolate x:
x ≤ -36 / 5
x ≤ -7.2
This inequality means that x, the unknown number, must be less than or equal to -7.2.
A college football team wins eight games and loses three during its season. The margins of victory in the eight wins are (in points scored): 11 14 12 16 25 45 1 49 The relationship between the mean and median margin of victory is typical of distributions which, like this one, are
A) skewed to the right
B) nearly symmetric
C) skewed to the left
D) all positive
E) football shaped
Final answer:
The relationship between the mean and median margin of victory in a right-skewed distribution is explained.
Explanation:
The relationship between the mean and median margin of victory in this case defines a right-skewed distribution. In a skewed distribution, the mean tends to be farther out on the tail compared to the median. This is because in a right-skewed distribution, there are a few large values that pull the mean towards the right and away from the median, which represents the middle value. In this case, the mean margin of victory is 88.2, and the median margin of victory is 87.5. Therefore, the correct answer is option A) skewed to the right.
3. © MP.6 Be Precise Devin brought his snail collection
to school. He has 10 snails.
How could he put them into 2 tanks so two classes
could see them?
Write equations for all the possible ways.
One of the ways is given.
Explain how you know you have found all the ways.
Answer:
See explanation
Step-by-step explanation:
Devin brought his snail collection to school. He has 10 snails.
the smallest number of snails in the tank is 0 and the greatest number of snails in the tank is 10. Also the number of snails in each tank must be a whole number (Devin cannot put half of the snail into the tank). There are 11 whole numbers between 0 and 10.
Hence, all 11 possibilities to divide snails into two tanks are:
[tex]\begin{array}{cc}\text{Tank 1}&\text{Tank 2}\\ \\0&10\\1&9\\2&8\\3&7\\4&6\\5&5\\6&4\\7&3\\8&2\\9&1\\10&0\end{array}[/tex]
The sums of two numbers in each row must be exactly 10 as the total number of snails Devin has.
Please Help and I will vote you as the brainiest
Simplify (x−5)(x2−2x−6)
x3−7x2+4x+30
x3−5x2+10x+30
x3−7x2+16x+30
x3+x2−4x+30
(x−5)(x2−2x−6)
mutiply the brackets together
(x)(x^2)=x^3
(x)(-2x)=-2x^2
(x)(-6)=-6x
(-5)(x^2)=-5x^2
(-5)(-2x)=10x
(-5)(-6)=30
x^3-2x^2-6x-5x^2+10x+30
x^3-2x^2-5x^2-6x+10x+30 ( combine like terms)
x^3-7x^2+4x+30
Answer: x3−7x2+4x+30
Answer:
I can confirm that the answer above is indeed correct.
Step-by-step explanation:
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?
Write your answer as a fraction or a mixed number in simplest form.
please answer asap
Answer:
If you think numbers with fractions are annoying, consider transforming the number into fractions!
Step-by-step explanation:
7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day
4x+1=9+4y solve for y
Answer:
y = x-2
Step-by-step explanation:
The value of y in the given equation; 4x+1=9+4y is y = x-2
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
Thus the Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
Given that 4x+1=9+4y
We need to solve for y;
4x+1=9+4y
4x - 4y = 9 -1
4x - 4y = 8
x - y = 2
Therefore, the value of y in the given equation; 4x+1=9+4y is y = x-2
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I am not a multiple of 7.
I am one away from a multiple of 10.
I am less than twelve tens.
If you round me to the nearest ten, then I round up not down
Who am I?
I NEED THIS REALLY QUICK ILL GIVE BRAINLIEST AND 5 STARS PLEASE AWNSER
5+4*2+6-2*2-1
insert parentheses to change the value to 19 show work
Answer: (5+4) * 2 + 6 - 2 * 2 - 1
Step-by-step explanation:
(5+4) * 2 + 6 - 2 * 2 - 1
(9) * 2 + 6 - 2 * 2 - 1
18 + 6 - 2 * 2 - 1
18 + 6 - 4 - 1
24 - 4 - 1
20 - 1
19
What is the value of -27-8
A.-35
B.-19
C.19
D.35
Answer:
a. -35
Step-by-step explanation:
-28 - 8 = -35
Answer:
A. -35
Step-by-step explanation:
When subtracting two negative numbers, you are essentially adding the numbers and adding the negative sign next to it:
-27 - 8 = - (27 + 8) = - (35)
A. -35 is your answer.
~
George said that 6x10 third power is 180 do you agree or disagree explain the mistake that he made and find the correct answer
First off, I'm going to assume you meant 6 * 10^3
George is wrong.
6 * 10^3 power equals 6000. The power of 3 equals 3 zeros.
George did 6 * 10 * 3, but we are working with exponents
Hope this helps!
Answer:
Disagree
Step-by-step explanation:
George multiplied 10 * 6 by three instead of raising it to the third power, like this: 60*60*60
Colleen compared the ratios 3:8 and 1/2.
Her work is shown below.
Write the ratios as fractions: 3/8 and 1/8 Compare the numerators: 3 > 1 Write the correct statement: 3/8 > 1/2
Where did Colleen make her first mistake?
A. The common denominator should be 4 rather than 8
B. The numerators are compared incorrectly.
C. The fraction 1/2 should have been rewritten as 6/8
D. The fraction 1/2 should have been rewritten as 4/8.
NEED HELP NOW PLZZZZZ HELP ME!!!!!!!!!!
To compare two fraction you need to rewrite the fractions so they have a common denominator.
1/2 should have been rewritten as 4/8
The answer is:
D. The fraction 1/2 should have been rewritten as 4/8.
Answer:
D.The fraction [tex]\frac{1}{2}[/tex] should have been rewritten as [tex]\frac{4}{8}[/tex].
Step-by-step explanation:
We are given that ratios as fraction
[tex]\frac{3}{8}[/tex] and [tex]\frac{1}{2}[/tex]
Colleen compared between given ratios
We have to find the first mistake of Colleen in her work.
First we make denominator of both fraction same
Therefore, we will divide and multiply by 4 in second fraction number
[tex]\frac{1}{2}\times \frac{4}{4}=\frac{4}{8}[/tex]
The numerator of [tex]\frac{4}{8}[/tex] is greater then the numerator [tex]\frac{3}{8}[/tex].
Hence, the [tex]\frac{4}{8} >\frac{3}{8}[/tex]
Therefore, option D is true.
Answer:D.The fraction [tex]\frac{1}{2}[/tex] should have been rewritten as [tex]\frac{4}{8}[/tex].
You borrow bookcases to display 943 books. You plan to put 22 books on each shelf. There are 5 shelves. How many bookcases do you need
Answer:
9 bookcases.
Step-by-step explanation:
Total number of books = 943
Total number of books placed in one shelf = 22
Total number of shelves in one bookcase = 5
Total number of books displayed in one bookcase = [tex]No.\ of\ shelves\ in\ 1\ bookcase\times\ No.\ of\ books\ in\ each\ shelf[/tex]
Total number of books displayed in one bookcase= [tex]5\times 22=110[/tex]
Total number of bookcase required = [tex]\frac{total\ no.\ of\ books}{Number\ of\ books\ displayed\ in\ 1\ bookcase}[/tex]
Total number of bookcase required = [tex]\frac{943}{110} =8\frac{63}{110}[/tex]
So, 880 books can be displayed in 8 bookcases. and for the remaining 63 books we also require one more bookcase. Therefore, the total number of bookcases needed are 9.
what transformation transforms (a, b) (a, -b)
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
We have
(a, b ) → (a, - b ) ← reflection in the x- axis
Answer:
Put random numbers into your points and check the quadrants
Step-by-step explanation:
What is the value of 22x + 3 when x = 5? How much money is 22 nickels and 3 pennies?
Answer:
113
$1.13
Step-by-step explanation:
22x + 3 when x = 5 is written 22(5) + 3
You multiply first, 22(5) = 110 + 3 = 113
a nickel is worth .05 so you mulitply .05 x 22 which gets you 1.1 and 3 pennies is .03 and when you add the two together you get $1.13
Answer: The value of 22x+3 is 113. The amount of money that equals 22 nickels and 3 pennies. That answer is also 1113.
Step-by-step explanation:
For the first problem u want to basically do 22 times 5 and that gives you 110. Then after doing that u want to do 110+3 which equals 113.
For the second one since nickels equal 5 cents u want to do 22•5 which gives you 110 and then you do 110+3 and that gives you 113.
Which pair of lines is parallel?
Answer:
○ D)
Step-by-step explanation:
This option has all the Consecutive [same-side] Angles, Alternate Exterior\Interior Angles, Corresponding Angles, and the Supplementary Angles correct.
○ C) This is incorrect because obviously, 65° + 125° gives us 190° instead of 180°, so this would not work.
○ B) This is definitely incorrect because obviously, 27° + 143° gives us 170°, so this definitely would not work anyway.
○ A) This is incorrect because the Alternate interior Angles are incorrect. They would have to be either 50° or 40°, which in this case we have no way of knowing.
○ D) This is correct because 35° + 145° gives us 180°, indicating parallel lines in this case.
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In Option D, parallel lines shown in this case.
Now, We can formulate;
A) There are angles to be 50° or 40°,
Hence, This is incorrect because the Alternate interior Angles are incorrect.
B) Since, We get;
= 27° + 143°
= 170°,
Hence, This is incorrect
C) Since, We have;
= 65° + 125°
= 190° instead of 180°,
Hence, This is incorrect
D) Since, We have;
= 35° + 145°
= 180°,
Which indicating parallel lines in this case.
Hence, In Option D, parallel lines shown in this case.
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Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = (x - 12)2 + 3
To transform the graph of y = x2 to y = (x - 12)2 + 3, subtract 12 from the x-coordinate to shift the graph horizontally and add 3 to the y-coordinate to shift it vertically.
Explanation:To transform the graph of y = x^2 to the graph of y = (x - 12)^2 + 3, we need to understand the effect of each transformation on the original graph. Here are the steps:
To translate the graph horizontally 12 units to the right, we subtract 12 from the x-coordinate of each point on the graph. The equation becomes y = (x - 12)^2.To shift the graph vertically 3 units up, we add 3 to the y-coordinate of each point on the translated graph. The equation becomes y = (x - 12)^2 + 3.By applying these transformations, we obtain the graph of y = (x - 12)^2 + 3, which is the original parabola shifted 12 units to the right and 3 units up.
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Find the area of a square with side a when a=2 in, a=12 in, and a=0.8 in. Are the area of a square and the length of its side directly proportional quantities? Why or why not?
Answer:
4 inches²
144 inches²
0.64 inches²
Yes, the area of a square and the length of its side directly proportional quantities.
Step-by-step explanation:
In this question, we have to find the area of square by changing the lengths of a side. Given lengths are: 2, 12, 0.8. I will evaluate the area of each side and try to find out the relation between area and length of side.
First, we start with the smallest length (a=0.8 inches)
Area of a square is calculated by taking the square of single side (since both sides are equal).
Area of square = a²
Area of square = 0.8²
Area of square = 0.64 inches²
Area of square with smallest side length (a=0.8 inches) = 0.64 inches²
Secondly, we start with the 2nd highest length (a=2 inches)
Area of square = a²
Area of square = 2²
Area of square = 4 inches²
Area of square with second largest side length (a=2 inches) = 4 inches²
Thirdly, we start with the highest length (a=12 inches)
Area of square = a²
Area of square = 12²
Area of square = 144 inches²
Area of square with highest side length (a=12 inches) =144 inches²
As we can see, with the increase in the length of a side, area of square is also increasing. Therefore, yes the area of a square and the length of its side are directly proportional quantities as the area increases or decreases when the length of the side increases or decreases.
Answer:
They are directly proportional quantities.
Step-by-step explanation:
DEFINITION
Two quantities are said to be directly proportional if an increase in one quantity lead to an increase in the other quantity.
Area of a Square = [tex]Length^2[/tex]
Area of a Square of Length 2 inch = [tex]2^2=4 \:square \:inch[/tex]
Area of a Square of Length 12 inch = [tex]12^2=144 \:square \:inch[/tex]
Area of a Square of Length 0.8 inch = [tex]0.8^2=0.64 \:square \:inch[/tex]
Arranging the sides and corresponding area in ascending order:
(0.8, 2, 12) = (0.64, 4, 144)
We notice that as the length increases, the area also increases.
Therefore, the area of a square and the length of its side are directly proportional quantities.
8. How is 10 2/3 written as a decimal to the
nearest hundredth?
A. 10.25
B. 10.50
C. 10.67
D. 10.75
price of the
Answer:
The answer is C.
I hope this helped you.
Answer: 10 2/3 written as a decimal is 10.67
Step-by-step explanation:
first off you would have to convert the fraction 2/3 into a decimal and to do that you have to divide the numbers and that would give you 0.66666666666 which you then round up and therefore you get 10.67
What is the intersection of the given lines?
AB and EB
Answer:
point b
Step-by-step explanation:
Alicia bought 5.75 yards of fleece fabric to make blankets for a charity. She needs 1.85 yards of fabric for each blanket . How many blankets can alicia make with the fabric she bought
Alicia make 3 blankets with the fabric she bought.
Given, Alicia bought 5.75 yards of fleece fabric.
For one blanket She needs 1.85 yards of fabric.
We have to calculate the no. of blankets.
So, the no of blankets will be,
[tex]N=\frac{total \ yards}{yard\ needed \ 1 \ blanket}[/tex]
[tex]N=\dfrac{5.75}{1.85} \\\\N=3.10810[/tex]
Since the number of blanket must be a whole number so number of blanket here is 3.
Hence Alicia make 3 blankets with the fabric she bought.
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If a number is positive then it is a whole number and an integer. which is the conclusion of the conditional ?
A . A number is an integer
B. A number is either a whole number or an integer
C. A number is a both a whole number and an integer
D. A number is positive
Answer:
A a number is an interger
The conclusion of the given conditional statement 'If a number is positive then it is a whole number and an integer' is 'A number is both a whole number and an integer', which corresponds to option C.
Explanation:In a conditional statement, the conclusion is what is conjectured or inferred from the given hypothesis. For the statement 'If a number is positive then it is a whole number and an integer', the part after 'then' forms the conclusion, that a given number is both a whole number and an integer.
So the correct conclusion for the given conditional is 'A number is both a whole number and an integer'. Therefore, option C is the correct answer to this question.
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An architect was building a
hotel downtown. He
bought 399 lamps to put in
the rooms. If each room
gets 7 lamps, how many
rooms does the hotel
have?
Answer:
57
Step-by-step explanation:
Solve the following equation for W: 5(w-2)+10=3(2w-9)+5
Answer:
w=22
Step-by-step explanation:
5(w-2)+10=3(2w-9)+5
1) Use the Distributive Property for 5(w-2) and 3(2w-9):
5w-10+10=6w-27+5
2) Combine alike terms:
5w=6w-22
3) Add a 22 to both sides:
22+5w=6w
4)Subtract 5w from both sides:
w=22
1. Which of the following is true regarding the graph of y = 1/x ?
a. The domain is all real numbers.
b. There are horizontal and vertical asymptotes.
C. The graph intersects the x-axis in two places.
d. The range is 0 < y<.
Answer:
b. There are horizontal and vertical asymptotes
Step-by-step explanation:
The graph is a hyperbola with asymptotes of x=0 and y=0
The correct options regarding the graph of y = 1/x are:
b. There are horizontal and vertical asymptotes.
c. The graph intersects the x-axis in two places.
a. The domain of y = 1/x is all real numbers except x = 0 since division by zero is undefined.
b. The graph of y = 1/x has a vertical asymptote at x = 0, which means the function approaches infinity as x approaches 0 from the left side and approaches negative infinity as x approaches 0 from the right side.
There is no horizontal asymptote because the function does not approach a specific y-value as x approaches positive or negative infinity.
c. The graph intersects the x-axis in two places: once for positive x-values and once for negative x-values.
The x-intercepts occur when y = 0, which happens when x = 1 and x = -1.
d. The range of y = 1/x is y ≠ 0 since division by zero is undefined. The function can take on positive and negative values as x approaches positive or negative infinity, respectively.
Therefore, the range is y < 0 or y > 0, depending on the chosen interval.
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please help ! I'm so confused
Answer:
okay, so you need to add the two angles that you already have and the subtract 180* from it and thats your answer. ( at least i learned it that way. lol )
Step-by-step explanation:
What are the values for the coefficients and constant term of 0 = 2 + 3x - 5x?
Mike works two part time jobs while going to college. He works 8 and half hours a week at the ice-cream store for $10.55 per hour and 7 hours a week at the movie theater for 13.85 per hour. Work each of the following problems in decimal form.
1. How much does Mike earn a week before taxes are taken out of his paycheck?
2. If 22 percent of Mike’s paycheck is withheld for taxes, how much money is left for Mike?
3. At which Job does Mike earn the most before taxes, how much more?
4. If Mike spends $50 a week on entertainment, what percent of Mike’s paycheck is left after he pays taxes? In decimal form.
Answer:
1.$186.63
2.$145.57
3.$7.27 more
4.65.65%
Step-by-step explanation:
Mike has two part time jobs.
Job 1: Ice-cream store
Number of hours worked= 8.5 hours
Payment per hour=$10.55
Job 2: Movie theater
Number of hours worked=7 hours
Payment per hour=$13.85
1. Earnings per week before taxes
⇒For job 1 will be; the product of hours worked and hourly payments
= 8.5×$10.55 =$89.68
⇒For job 2 will be;
=7×$13.85=$96.95
Total=$89.68+$96.95=$186.63
2. Calculate amount taken as tax
Find 22% of the amount earned
= 22/100 * 186.63 =$41.06
Remaining amount after tax will be;
=$186.63-$41.06=$145.57
3.
The job that Mike earns the most before taxes is at the Movie theater.
How much more will be; Earnings at Movie theater-Earnings at the Ice-cream store
=$96.95-$89.68
=$7.27 more
4.
After paying taxes the amount remaining is $145.57
After spending $50 on entertainment,the amount left will be;
$145.57-$50=$95.57
so to find the percent of remaining amount of Mike's paycheck will be;
95.57/145.57 *100=65.65%
One painting shows 520 different types of ladybugs.
Another painting shows 750 different types. How many
times as great is the value of the digit 5 in 520 than the
value of the digit 5 in 750? How do you know?
Answer:
10 times greater
Step-by-step explanation:
the 5 in 520 is in the hundreds place value
The 5 in 50 is in the tens place value
50 *10 = 500
From units to tens-------------Multiply by 10 (2*10=20)
From tens to hundreds-------Multiply by 10 (20*10=200)
From hundreds to thousands----Multiply by 10 (200*10=2,000)
And so on
The value of 5 in 520 is in the hundreds place, so it equates to 500. Conversely, the 5 in 750 is in the tens place, meaning it equals 50. Thus, the 5 in 520 is 10 times greater than the 5 in 750.
Explanation:This question pertains to the place value in numbers, an essential mathematical concept. In the number 520, the digit 5 is in the hundreds place, which means its value is 5*100 = 500. On the contrary, in the number 750, the digit 5 is in the tens place, hence, it's value is 5*10=50.
Therefore, to find out how many times the value of the 5 in 520 is greater than the value of the 5 in 750, divide the value of the 5 in 520 (which is 500) by the value of the 5 in 750 (which is 50). So, 500 divided by 50 equals 10. This reveals that the value of the digit 5 in 520 is 10 times greater than the value of the digit 5 in 750.
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7(3r - 1) - (r + 5) = -52
Please step by step help
Answer:
r = -2
Step-by-step explanation:
7(3r - 1) - (r + 5) = -52 distribute (the - sign too)
21r - 7 + -r - 5 = -52 add/ subtract like terms
20r - 12 = -52 subtract -12 and added to -52
+12 +12
20r = -40 divide by 20
20r/20 = -40/20
r = -2
Please help me 80 points for who answers :)
Answer:
the sum of two negative integers is a negative integer. true
the sum of two positive integers is a positive integer. true
to find the sum of a positive and a negative integer take the absolute value of each integer and then subtract these values.
true
the additive inverse of any integer and its opposite is equal to 0. false
The sum of any integer and its opposite is equal to zero.
Answer:
the sum of two negative integers is a negative integer. (T)the sum of two positive integers is a positive integer. (T)the additive inverse of any integer and its opposite is equal tu zero. (F)to find the sum of a positive and a negative integer, take the absolute value of each integer and them subtract these vakues. (T)What is an equation of a line perpendicular to 5x+8y=16 and passed through (-5,7)
Answer:
8x - 5y = -75 or y = 1⅗x + 15
Step-by-step explanation:
5x + 8y = 16
-5x - 5x
_____________
8y = -5x + 16
___ ________
8 8
y = -⅝x + 2
↑
slope
Now, Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE Rate of Changes [Slopes]:
-⅝ → 1⅗ [or 8⁄5]
7 = 1⅗[-5] + b
-8
15 = b
y = 1⅗x + 15 >> Perpendicular Line in Slope-Intercept Form
If wanted in Standard Form:
y = 1⅗x + 15
-1⅗x - 1⅗x
_____________
-1⅗x + y = 15 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
-5[-1⅗x + y = 15]
8x - 5y = -75 >> Perpendicular Line in Standard Form
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