The sum of 6 consecutive even numbers is 270. What is the second number in this sequence?
write an equation with an even product
product is multiplication:
2 * 2 = 4
Find the quotient of quantity of negative 5 times x to the 3rd power plus 15 times x to the 2nd power minus 10 times x all over negative 5 times x. (5 points)
x2 + 3x − 2
x2 − 3x + 2
−x2 + 15x − 10
x2 − 15x + 10
Answer:
x^2 - 3x +2
Step-by-step explanation:
[tex]\frac{-5x^3+15x^2-10x}{-5x}[/tex]
We divide the whole expression by -5x
When we divide by negative the sign of each term changes
We divide each term separately by -5x
-5x^3 / -5x = x^2
15x^2 / -5x = -3x
-10x/ -5x = +2
So the expression becomes x^2 - 3x +2
The volume of
100
drops of a liquid is
0.1
fluid ounce.
What is the volume of
10,000
drops?
Final answer:
The volume of 10,000 drops of liquid, given that 100 drops equal 0.1 fluid ounce, is calculated to be 10 fluid ounces.
Explanation:
The question is asking to calculate the volume of 10,000 drops of a liquid, given that the volume of 100 drops is 0.1 fluid ounce. First, we determine the volume of a single drop. Then, we multiply that volume by 10,000 to find the total volume.
To start, we have the following relationship:
100 drops = 0.1 fluid ounce.
Next, we calculate the volume of one drop:
1 drop = 0.1 fluid ounce / 100 drops.
Then, we multiply the volume of one drop by 10,000 to find the volume of 10,000 drops:
10,000 drops * (0.1 fluid ounce / 100 drops) = 10 fluid ounces.
Therefore, the volume of 10,000 drops of the liquid is 10 fluid ounces.
William buys a basket of pomegranates on sale for $10 before tax. The sales tax is 17%, percent. What is the total price William pays for the basket of pomegranates?
Find the excluded value of the rational expression 2x + 6/4x - 8
Answer:
for connections
1.a
2.c
3.d
4.c
Step-by-step explanation:
I need some help please
answer (0,10) see pic:
This is the 3rd one I have helped with, you should start seeing a pattern with the answers.
Which expression is equivalent to 56 + 21?
PLZ NEED HELP
A room contains 5 cats and 2 dogs. If the ratio is 5 to 2 the rate can be expressed as 5 cats __ 2 dogs
Answer:
Per is the answer (Apex)
Step-by-step explanation:
Which of the following shows 18/8 as a mixed number and 1 7/12 as an improper fraction?
A) 18/8 = 2 2/8 and 1 7/12=8/12
B) 18/8 = 1 5/4 and 1 7/12 = 1 12/7
C)18/8 = 9/4 and 1 7/12 = 17/12
D)18/8 = 2 1/4 and 1 7/12 = 19/12
The exact answer to this question is option d that is 18/8 = 2 1/4 and 1 7/12 = 19/12
What is improper fraction and mixed number ?
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Example 9/4 , 7/2
A mixed number is a number consisting of a whole number and a proper fraction. Example 1 3/8 , 3 1/3
FOR SOLVING THE QUESTION:
Rewriting 18/8 as a mixed number:
8/8=1 whole
So, let's see how many wholes we can get out of 18/8
18/8= (8+8+2)/8
= 8/8 +8/8 + 2/8
=1+ 1+1/4
18/8=2 1/4
Rewriting 1 7/12 as an improper fraction
1 7/12= 1+ 7/12
=12/12 + 7/12
=(12+7)/12
=19/12
Therefore, 1 7/12= 19/12
The exact answer to this question is option d that is 18/8 = 2 1/4 and 1 7/12 = 19/12
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The total mass of Abdul and his baby brother is 15.25kg . The mass of Abdul and his father is 72.25kg . The mass of Abdul's father is 13 times as heavy as Abdul's baby brother. What is Abdul's mass?
Solve 2x - 1 < 7 and 5x + 3 < 3. {x | x < 0} {x | x < 4} {x | 0 < x < 4}
Answer:
Solution for givrn system of inequalities: [tex]\{x ~| ~x < 0\}[/tex]
Step-by-step explanation:
We are given a system of two inequalities:
[tex]2x-1 < 7\\5x+3 < 3[/tex]
Solving the inequalities individually:
[tex]2x-1 < 7\\2x<7+1\\2x < 8\\x < 4\\\text{In interval notation: } x \in (-\infty, 4) \\\\5x + 3 < 3\\5x < 3-3\\5x < 0\\x< 0\\\text{In interval notation: } x \in (-\infty, 0)[/tex]
The intersection of the two solution will give us the solution to the system of inequalities:
[tex]x \in (-\infty, 4) \cap (-\infty, 0)\\ x \in (-\infty, 0) \\\{x ~| ~x < 0\}[/tex]
The given series has six terms. What is the sum of the terms of the series? 1 + 3 + 5 + . . . + 11
Answer: The required sum of the terms is 36.
Step-by-step explanation: We are given that the following series has six terms :
1 + 3 + 5 + . . . + 11.
We are to find the sum of the terms of the series.
We see the following pattern in the consecutive terms of the series :
[tex]3-1=5-3= ~~.~~.~~.~~=2.[/tex]
So, the given series is an ARITHMETIC series with fist term 1 and common difference 2.
We know that
the sum of first n terms of an arithmetic series with first term a and common difference d is given by
[tex]S_n=\dfrac{n}{2}(2a+(n-1)d).[/tex]
For the given series,
first term, a = 1 and common difference, d = 2.
Therefore, the sum of first six terms will be
[tex]S_6=\dfrac{6}{2}(2\times 1+(6-1)\times2)=3(2+5\times2)=3(2+10)=3\times12=36.[/tex]
Thus, the required sum of the terms is 36.
What is the domain of the function f(x) = 3|x + 4| + 1? all real numbers all real numbers less than or equal to −4 all real numbers greater than or equal to 1 all real numbers greater than or equal to −4
Answer:
The correct option is A.
Step-by-step explanation:
The vertex form of an absolute function is
[tex]g(x)=a|x-h|+k[/tex]
Where, (h,k) is vertex.
Domain is the set of input values.
The given function is
[tex]f(x)=3|x+4|+1[/tex]
It is the vertex from of an absolute function. Here h=-4 and k=1, so the vertex of the function is (-4,1).
These functions are defined for all real values of x. So, the domain of the given absolute function is all real numbers
Therefore the correct option is A.
If you have 24 square pieces of wood, describe all the different ways you could make a rectangle by placing them side by side
You have 24 square pieces of wood. You could lay them out in the following fashion. First number is the number of rows. Second number is the number of columns. For example:
1,24 is 1 row by 24 columns. Here goes:
1,24
2,12
3,8
4,6
6,4
8,3
12,2
24,1
i believe that's all.
It winds up being the number of ways you can multiply two integers to get 24.
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x^2+1 inches, and its perimeter is 4(2x^2+1) inches. If x=3.5, how much Robbin does she need?
7,125,000,000 what is this to the nearest billion
mrs. Williams uses the following recipe for crispy rice treats. She decided to make 2/3 of the recipe. 2 cups of melted butter, 24 oz marshmallow, 13 cups rice crispy treats.
Fraction number is used to represent the part of a whole. For cook the 2/3 of the recipe Mr. Williams need 4/3 cups of melted butter, 16 oz marshmallow, and 26/3 cups of rice crispy treats.
Given -To cook full recipe Mr. Williams needs the 2 cups of melted butter, 24 oz marshmallow, and 13 cups rice crispy treats.
In the given question Mr. Williams wants to cook 2/3 of the recipe. For this he need to add all the ingredients in the 2/3 value as compare to the original recipe units.
Fraction numberFraction number is used to represent the part of a whole.
Required cups of melted butter is,[tex]\rm Butter = \dfrac{2}{3} \times 2[/tex]
[tex]\rm Butter = \dfrac{4}{3}[/tex]
Hence, the for the above question we need 4/3 cups of melted butter.
Required oz marshmallow-[tex]\rm oz \ marshmallow= \dfrac{2}{3} \times 24[/tex]
[tex]\rm oz \ marshmallow= 16[/tex]
Hence, the for the above question we need 16 units of oz marshmallow.
Required cups of rice crispy treats-[tex]\rm Rice \ crispy \ treats=\dfrac{2}{3} \times 13[/tex]
[tex]\rm {Rice \; crispy \; treats}=\dfrac{26}{3}[/tex]
Hence, for cook the 2/3 of the recipe Mr. Williams need 4/3 cups of melted butter, 16 oz marshmallow, and 26/3 cups of rice crispy treats.
Form more about the measurement follow the link-https://brainly.com/question/5014667
Solve the inequality for b 10 < -2/3(9+12b)
Final answer:
To solve the inequality 10 < -2/3(9+12b), distribute -2/3 inside the parentheses, simplify, and divide by -8, which reverses the inequality. The solution is b < -2.
Explanation:
To solve the inequality 10 < -2/3(9+12b), we must first distribute the -2/3 across the parentheses:
Multiply -2/3 by 9 to get -6.
Multiply -2/3 by 12b to get -8b.
The inequality now looks like this: 10 < -6 - 8b. Next, we simplify by moving the constant term -6 to the left side:
Add 6 to both sides: 10 + 6 < -8b.
Combine like terms: 16 < -8b.
Finally, we divide both sides by -8, remembering that this reverses the inequality symbol:
Divide by -8: -2 > b or b < -2.
Therefore, the solution to the inequality is b < -2.
Write the phrase as an algerbraic expression. 4 times the sum of a number and 20
Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $50, and then they charge her $9 per hour. She has $200 available to spend on car rental. What is the greatest number of hours for which she can rent the car? (The car cannot be rented for part of an hour.)
The correct answer is 16 hours
Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park: (Via Image)
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(0, 4) and point D(−6, −5), what is another point that could represent a corner of the trail?
1) (4, 4)
2) (11, 4)
3) (6, −5)
4) (−17, −5)
Answer:
Correct choice is 3)
Step-by-step explanation:
Enlargment is a dilation. A dilation is a transformation that preserves parallel lines and each side length of the pre-image parallelogram is multiplied by the same coefficient.
Note that
[tex]\overrightarrow{IF}=(-7-(-9),5-2)=(2,3);\\ \\\overrightarrow{DA}=(0-(-6),4-(-5))=(6,9)=3\cdot (2,3)=3\overrightarrow{IF}.[/tex]
From this statement you can conclude that the factor of dilation is 3.
Since
[tex]\overrightarrow{FG}=(-3-(-7),5-5)=(4,0),[/tex]
then
[tex]\overrightarrow{AB}=3\overrightarrow{FG}=3(4,0)=(12,0)\ \text{or}\ \overrightarrow{BA}=(12,0)[/tex]
and
[tex]\overrightarrow{DC}=(12,0)\ \text{or}\ \overrightarrow{CD}=(12,0)[/tex]
Yhis gives you that B(12,4) (or B(-12,4)) and C(6,-5) (or C(-18,-5)).
Rita's mother is 4 times as old as she is. Her grandmother is twice as old as her mother. If the sum of their age is 194, how old are Rita, her mother, and her grandmother?
Through setting up and solving an algebraic equation, we find that Rita is 15 years old, her mother is 60 years old, and her grandmother is 120 years old. These ages satisfy the conditions that the sum of their ages is 194, Rita's mother is 4 times her age, and her grandmother is twice the age of her mother.
Explanation:Let's use algebra to solve the problem of finding the ages of Rita, her mother, and her grandmother. We will start by defining the variable x to represent Rita's age. According to the information provided, Rita's mother's age is 4 times as old as Rita, so we can express that as 4x. The grandmother is twice as old as the mother, which can be written as 2(4x) or 8x.
Next, we need to use the fact that the sum of their ages is 194. We can set up the following equation based on all the information we have:
x (Rita's age) + 4x (Mother's age) + 8x (Grandmother's age) = 194
Combining like terms, we get:
13x = 194
Now, we solve for x by dividing both sides of the equation by 13:
x = 194 / 13
x = 14.923 (As ages are typically expressed as whole numbers, we would round this to the nearest whole number if necessary, but in this case, 194 is evenly divisible by 13, so x = 15).
Now that we know Rita's age, we can find out her mother's and grandmother's ages:
These are the ages of Rita, her mother, and her grandmother.
A student runs 100 meters in 11 second s . What is the speed of the student
What is the solution to the linear equation?
A pair of huskies can comfortably pull a sled with a person weighing 126 pounds If Marjorie wishes to carry an additional 252 pounds of gear, how many dogs will she need altogether?
He was right the correct answer is six dogs
Brad wants to buy flowers for his friend with $15. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies than roses how much did the roses cost?
Anybody know? Also, what pattern?
Eva has borrowed 200 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x: A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 280 at increments of 40. A straight line joins the ordered pairs 0, 200 and 1, 160 and 2, 120 and 3, 80 and 4, 40 and 5, 0. Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points) Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)
PART A)
The rate of change is -40 songs each week, because the amount of songs left to be downloaded decrease by 40 every week.
the initial value is 200 at 0 weeks, which means that there are 200 songs to be downloaded at the beginning
PART B)
calculate the slope:
Answer:
Each week the amount of songs that need to download decreases by 40. So The rate of change is -40 songs each week. The initial value is 200 because that is the number of songs left to download.
Part B:
y = -40x + 200
jace estimated the product of (34.57)(–0.74) by rounding each number to the nearest tenth. What was Jace’s estimate?
Answer:
–24.22
Step-by-step explanation:
Answer:
-24.22
Step-by-step explanation:
(aka B on edge)