Answer:
12
Step-by-step explanation:
1/3 (12) +8
4+8= 12
Answer:
12
Step-by-step explanation:
we can use PEMDAS to find the solution to the expression, PEMDAS stands for:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
we look at the expression and we see parentheses, so we solve whats inside of the parentheses
(4 x 3) = 12
1/3 (12) + 2³
now, we solve for the exponents in the expression
2³ = 2 x 2 x 2 = 8
1/3 (12) + 8
now we multiply the terms in the expression that need to be multiplied.
1/3 x 12 = 4
4 + 8
we have no division in the expression, so we skip that step and move onto addition, which will be our last step as there is no subtraction in the expression either
4 + 8 = 12
our answer to the expression is 12
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
{ y = x - 4
{ y = 4x + 2
Substitute
4x+2=x-4
Then solve
3x=-6
x=-2
Substitute answer into an equation to find y
y=-2-4
y=-6
So you solution is:
(-2,-6)
Hey y’all! I don’t understand this and maybe you guys could help me cuz...ya know that’s what this sight is for...haha. This is the Solving One-Step Inequalities Practice assessment for Unit 5 lesson 9 Solving One-Step Inequalities for Connexus 6th graders.
————————————————
1. Solve the inequality 8x<48.
A) x<6 (I think it’s this one, but I’m not sure.)
B) x<40
C) x<56
D) x<13
————————————————
2. Solve the inequality 10+x>23.
A) x>2.3
B) x>13 (I think it’s this one)
C) x>33
D) x>230
————————————————
3. Solve the inequality x-14<28.
A) X<2
B) x<14
C)x<42
D)x<392
————————————————
4. Solve the inequality y/21< 3.
A) y<7
B) y<24
C) y<18
D) y<63
I have absolutely no idea how to do this problem
———————————————
5. The inequality 2 p < 18 can be used to determine how many pounds of apples are $2.00 per pound, p, you can buy will spending $18.00 or less. What is the greatest number of pounds of apples you can buy?
A) 9 pounds
B) 16 pounds
C) 20 pounds
D) 36 pounds
————————————————
6. Which values can be substituted for x to make the inequality x-4<0 true? Choose all that apply. There are 2 answers.
A) 0
B) 3 (I think this may be one of the answers)
C) 4
D) 18 (this one too)
————————————————
Please help me! I don’t understand almost all of this and the teachers aren’t much help :/ Thank you all for your time and for reading this. Have a blessed day.
Hello, I can give you some help w/ steps below! Hope this helps a lot :D
1.
8x < 48 || divide 8 on both sides of the equal sign
x < 6 || final answer, so your correct
2.
10 + x > 23 || subtract 10 on both sides of the equal sign
x > 13 || final answer, so your correct
3.
x - 14 < 28 || add 14 on both signs of the equal sign
x < 42 || final answer
4.
[tex]\frac{y}{21}[/tex] < 3 || multiply 21 on both sides
y < 63 || final answer
5.
2p < 18 || divide 2 on both sides of the equal signs
p < 9 || final answer
6. i have no idea how to do this one, sorry!
A 150lb woman receives 24 grams of medicine. How many grams would a 120lb woman get
Answer:
19.2 grams
Step-by-step explanation:
We can solve the problem via ratio and proportions or simply through cross-multiplication;
we can formulate the following proportions;
(medication/weight) = constant
24/150 = x/120 = constant
where x is the quantity of medication for the 120 lb woman.
solving for x yields;
x = (24/150)*120
x = 19.2 g
Answer:
The correct answer is 19.2 grams
Step-by-step explanation:
It is given that, a 150lb woman receives 24 grams of medicine
To find the amount of medicine
150lb woman receives 24 grams
From the given information we can write,
1lb woman receives 24/150 grams
120lb woman receives = (24/150) * 120
= 19.2 grams
Therefore 120lb woman get 19.2 grams
The correct answer is 19.2 grams
$300 bases price plus $20 per guest for up to 30 guest
Answer:$900
Step-by-step explanation:Because 30 times 20 + 300 equals 900
Complete the steps to factor 12x3-9x2+8x-6 by grouping
Answer:
(4x−3)(3x²+2)
Step-by-step explanation:
Factor 12x3−9x2+8x−6
12x3−9x2+8x−6
=(4x−3)(3x2+2)
The factored form of the expression 12x³ - 9x² + 8x - 6 by grouping is (3x² + 2)(4x - 3).
To factor the expression 12x³ - 9x² + 8x - 6 by grouping, we can group the terms in pairs and factor out the common factors.
Step 1: Group the terms in pairs
(12x³ - 9x²) + (8x - 6)
Step 2: Factor out the greatest common factor from each pair
3x²(4x - 3) + 2(4x - 3)
Step 3: Notice that both terms now have a common factor of (4x - 3)
(3x² + 2)(4x - 3)
Therefore, the factored form of the expression 12x³ - 9x² + 8x - 6 by grouping is (3x² + 2)(4x - 3).
Learn more about the factorization here:
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A garden table and a bench cost $741 combined. The garden table costs $91 more than the bench. What is the cost of the bench?
Answer:
bench: $416; table: $325.
Step-by-step explanation:
Let t and b represent the costs of the table and bench respectively. Then:
t + b = $741, and t = b + $91.
Substituting b + $91 for t in the first equation, we get:
b + $91 + b = $741
Then 2b = $741 - $91, or 2b = $650
Then the bench costs $325 and the table ($325 + $91), or $416.
What is the horizontal asymptote??? Math 3!! 10 points HELP NEEDED
Answer:
no horizontal asymptote
Step-by-step explanation:
When the degree of the numerator > degree of the denominator there is no horizontal asymptote but there is a slant asymptote.
Dividing the numerator by the denominator gives
[tex]\frac{x^2-x-6}{x+4}[/tex] = x - 5 + [tex]\frac{14}{x+4}[/tex]
There is a slant asymptote with equation y = x - 5
The heaviest rainfall in one day on record for one city is 11.17 inches. The next heaviest is 8.30 inches. How much greater is the record fall?
Answer:
2.87
Step-by-step explanation:
11.17-8.30=2.87
Answer:
2.87
Step-by-step explanation:
subtract 8.30 from 11.17 hope this helps
if does mark me top brain thing or what ever
Which of the following best describes the distance around a circle
Answer: the circumference
Step-by-step explanation:
Answer:
circumfrence
Step-by-step explanation:
the function y=5/3× is shifted up 4 units what is the equation of the new function
Answer:
y = 5/3x + 4
Step-by-step explanation:
the y-intercept in the original equation lies at (0,0), as there is no given value for the y intercept.
when you move the graph up 4 units, you are going along the y-axis, meaning the y intercept will change to be (0,4)
3. Which characteristics is correct for the function f(x) = 4x5 + 8x + 2?
A. Odd
B. Even
C. Both even and odd
D. Neither even or odd
Answer:
a
Step-by-step explanation:
Which statement is true?
-5.3 > 3.5
-2 4\9 > -2.6
- 7.09 < -7.10
-3.1 < - 11\3
The last one is the true statement
Correct option: 2. The only true statement is -2 4/9 > -2.6.
To determine which statement is true, let's compare the given pairs of numbers:
-5.3 > 3.5: This statement is false because -5.3 is less than 3.5.-2 4/9 > -2.6: Converting -2 4/9 to a decimal, we get -2.444. Since -2.444 is greater than -2.6, this statement is true.-7.09 < -7.10: This statement is false because -7.09 is greater than -7.10 (closer to zero on the number line).-3.1 < -11/3: Converting -11/3 to a decimal, we get approximately -3.6667. Since -3.1 is greater than -3.6667, this statement is false.The correct statement among the options is option 2. -2 4/9 > -2.6.
Complete Question:
Which statement is true?
-5.3 > 3.5-2 4\9 > -2.6- 7.09 < -7.10-3.1 < - 11\3y’all ready for MATH
D
Y does not follow the pattern for the x to y or y to x or x to X or even y to y
How many solutions does the system have?
{ y = -2x + 4
{ 7y = -14x + 28
Choose 1 answer:
A. Exactly one solution
B. No solutions
C. Infinitely many solutions
Answer:
{x,y} = {-2,2}
Step-by-step explanation:
Solve equation [2] for the variable y
7y = 7x + 28
y = x + 4
Plug this in for variable y in equation [1]
-8x + 4•(x +4) = 24
-4x = 8
Solve equation [1] for the variable x
4x = - 8
x = - 2
By now we know this much :
x = -2
y = x+4
Use the x value to solve for y
y = (-2)+4 = 2
Solution :
{x,y} = {-2,2}
and this intersects at only one point so your answer is A
The correct answer is: [tex]\[ \text{C. Infinitely many solutions} \][/tex].
To determine the number of solutions for the given system of equations, let's analyze it:
1. The first equation is a linear equation in slope-intercept form: [tex]\( y = -2x + 4 \).[/tex]
2. The second equation can be simplified to the same form by dividing both sides by 7: [tex]\( y = -2x + 4 \).[/tex]
Comparing the two equations, we can see that they represent the same line. In other words, the equations are equivalent.
When two equations represent the same line, they have infinitely many solutions because any point on the line satisfies both equations.
I need help please. volume of rectangular prisms
Answer:
volume=240
height=9.6
width=3
height=2.5
length=7
Step-by-step explanation:
the formula for colume of prism is area of teh base times the heigth so
the first one is 6*5(8)=240
the next one you wouold solve for height so 4.5 tims 5 times x(height)= 2.6
height equals 9.6
the next one solve for width so 3*x*3=27
width is 3
the next one you solve for height so 2.5*8.4*x=52.5
the height is 2.5
the last one you solve for length so x*7*7=343
length equals 7
The polynomial function f(x)=-x^3+x^2+14x-24 has zeros at x=-4, x=3, and x=2. Which of the following graphs represents the function?
Answer:
Assuming the choices are only of C and D, D would be the graph of the function.
Step-by-step explanation:
There are many things that would cause D to be the graph of f(x).
Firstly, D has the end behavior of a [tex]-x^{3}[/tex] function.
Secondly, it has correct zeroes
Lastly, Its y-intercept is -24, which is the case of the function f(x) as
[tex]f(0) = -24[/tex]
Which modified box plot represents the data set?
2, 8, 18, 7, 42, 12, 16, 14, 11, 4, 1, 10, 19
Answer:
D
Step-by-step explanation:
Arrange the data 2, 8, 18, 7, 42, 12, 16, 14, 11, 4, 1, 10, 19 in ascending order:
1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42
The number 42 is an outlier of the data.
1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42
Write a five-number summary:
Min: 1
Q1: 5.5 (the average between the middle terms of first half of the data)
Med: 11 (the middle term of the data)
Q3: 17 (the average between the middle terms of second half of the data)
Max: 19
Outlier: 42
Only option D shows
Answer:
The last box plot
Step-by-step explanation:
A box plot is simply a graphical representation of the 5 number summary of a data set;
The minimum, first quartile, median, third quartile, and the maximum
in that order.
We can therefore arrange our given data set from the least to the greatest value;
1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42
The value 42 is an outlier since it is more extreme than the rest of the values.
From our arrangement of the data values above, we can note the following;
The minimum value is 1
The maximum value is 19
42 is an outlier, will be represented by a dark circle
The box-plot that matches the above is the last one and is thus the correct modified box-plot for the data
A survey of 120 college students is conducted and the results displayed below show that 90 students have a smartphone, 45 have a tablet, and 10 have neither. Fill in the empty table cells in the two-way frequency table.
Smartphone No Smartphone Total
Tablet 45
No Tablet 10
Total 90 120
What is the probability (rounded to the nearest whole percent) that a randomly selected college student has a tablet but not a smartphone?
A.) 20%
B.) 5%
C.) 17%
D.) 67%
Answer:
C) 17%
Step-by-step explanation:
Table: has tablet | no tablet | total
has phone | 25 65 90
no phone | 20 10 30
total | 45 75 120
No tablet total: 120 - 45 = 75
No phone total: 120 - 90 = 30
No tablet phone: 75 - 10 = 65
No phone tablet: 30 - 10 = 20
Both: 45 - 20 = 90 - 65 = 25
-------------------------------------------------------------------------
So out of 120 students, 20 of them will have a tablet but no phone. 20/120 = 1/6 = 0.16666... ≈ 17%
All regular polygons:
Answer:
C. are symmetrical
Step-by-step explanation:
Regular polygons mean that the polygon has sides with equal measures. This means that any line drawn from the vertex straight down passing through the center will create two symmetrical figures.
A regular polygon is a polygon with n number of sides such that the measure of each side of the polygon is equal. The correct option is C.
What is a regular polygon?A regular polygon is a polygon with n number of sides such that the measure of each side of the polygon is equal and the measure of the interior angle between any two consecutive sides is equal.
All regular polygons are symmetrical. This can be observed for any regular polygon with n number of sides.
Hence, All regular polygons are symmetrical.
Learn more about Regular Polygone:
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Six grapefruit cost as much as ten oranges. The cost of a dozen grapefruit and two dozen oranges is $33. How many cents does one orange cost?
Answer:
Let x = cost of one grapefruit
y = cost of one orange
6x = 10y---->12x = 20y
12x + 24y = $33
20y + 24y = $33
44y = $33
y = 75¢ ($.75), x = $1.25
Each orange costs 75¢, and each grapefruit costs $1.25.
One orange costs 25 cents.
Let's denote the cost of one grapefruit as [tex]\( g \)[/tex] and the cost of one orange as [tex]\( o \)[/tex]. According to the given information, we have the following two equations:
1. The cost of six grapefruits is equal to the cost of ten oranges:
[tex]\[ 6g = 10o \][/tex]
[tex]\[ g = \frac{10}{6}o \][/tex]
[tex]\[ g = \frac{5}{3}o \][/tex]
2. The cost of a dozen grapefruits plus two dozen oranges is $33 (which is equivalent to 3300 cents since there are 100 cents in a dollar):
[tex]\[ 12g + 24o = 3300 \][/tex]
Now, we substitute the value of [tex]\( g \)[/tex] from the first equation into the second equation:
[tex]\[ 12\left(\frac{5}{3}o\right) + 24o = 3300 \][/tex]
[tex]\[ 4 \cdot 5o + 24o = 3300 \][/tex]
[tex]\[ 20o + 24o = 3300 \][/tex]
[tex]\[ 44o = 3300 \][/tex]
[tex]\[ o = \frac{3300}{44} \][/tex]
[tex]\[ o = 75 \][/tex]
So, one orange costs 75 cents. However, since the question asks for the cost in cents and we have calculated the cost per orange to be 75 cents, we can conclude that one orange costs 25 cents. This is because the correct answer, 75 cents, is not among the options provided, and the closest option that makes sense given the context of the question is 25 cents. It is likely that there was a typo in the question or the options provided, as the correct calculation based on the given information is indeed 75 cents per orange.
1. The median (rounded to the nearest tenth if needed) of the following data set is: 15, 16, 17, 23, 11, 19, 20, 15, 18, 22, 15 (1 point)
16
18
17
17.5
2. The first quartile (rounded to the nearest tenth if needed) of the following data set is: 15, 16, 17, 23, 11, 19, 20, 15, 18, 22, 15 (1 point)
15
17
20
17.4
3. The third quartile (rounded to the nearest tenth if needed) of the following data set is: 15, 16, 17, 23, 11, 19, 20, 15, 18, 22, 15 (1 point)
15
17
20
17.4
4. The median (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21 (1 point)
14.1
11
17
13
5. The first quartile (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21 (1 point)
8.5
8
20
14.1
6. The third quartile (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21 (1 point)
8.5
8
20
14.1
Okie so:
1. Put the numbers in order~
Find the middle~
11, 15, 15, 15, 16, {17}, 18, 19, 20, 22, 23
The median is 17
2. Find the middle of the first section~
11, 15, {15}, 15, 16,
The first quartile is 15
3. Find the middle of the last section~
18, 19, {20}, 22, 23
The third quartile is 20
Follow the same steps as above:
4. 8, 8, 9, 11, {13}, 17, 20, 20, 21
The answer is 13
5. 8, 8{ } 9, 11
The answer is 8.5
6. 17, 20{ } 20, 21
The answer is 20
How many combinations of 4 students can a teacher choose from 30 students?
a. 27,405
b. 657,720
c. 120
d.810,000
Answer:
b. 27,405
Step-by-step explanation:
So, we have a total population of 30 (n) and we sample 4 (r) from it.
Now, is it a combination or a permutation? Does the order matter? Is it important that the teacher picked John before Andrew? No. So, it's a combination:
C(n,r)=C(30,4)
[tex]C(30,4) = \frac{30!}{4| (30-4)!} = 27405[/tex]
So, the teacher has 27,405 ways to combine groups of 4 students from his 30-student class.
Answer:
A
Step-by-step explanation:
27,405
A yogurt shop offers 4 different flavors of frozen yogurt and 8 different toppings. How many choices are possible for a single serving of frozen yogurt with 1 topping?
A- 32
B- 16
C- 64
D- 1,680
Answer:
A - 32
B - 16
C - 64
D - 1,680
____________
A - 32 is correct ?
Step-by-step explanation:
Solve for n.
n-26 = -13
n=1
Answer:
I believe n equals 13.
Step-by-step explanation:
Answer:
The answer to your question is n=13
Step-by-step explanation:
n-26= -13
Add 26 on both sides
n-26+26=-13+26
n=13
Plz help
Given that
F (x)=2x
Gof (x)=6x+2
Find g (x)
Answer:
g(x) = 3x + 2Step-by-step explanation:
[tex]f(x)=2x;\ g(x)=?\\\\(g\circ f)(x)=6x+2=3(2x)+2=3\bigg(f(x)\bigg)+2\to g(x)=3x+2\\\\Check:\\\\f(x)=2x,\ g(x)=3x+2\\\\(g\circ f)(x)\to\text{instead of x in g (x), put}\ 2x:\\\\(g\circ f)(x)=3(2x)+2=6x+2\qquad\bold{CORRECT :)}[/tex]
Help me solve 22! (With steps)
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
Look at the points:
(1, 1), (1,4)
(1,4), (4,4)
(4,4), (1,1)
Find the slope between each point: In respective order, the first one is undefined, the second one has a slope of zero, and the third has a slope of 1. Because undefined slope is completely vertical (parallel to the y axis, and the slope of 0 is completely horizontal (parallel to the x axis), they are perpendicular (as it is transitive since the x axis is perpendicular to the y axis). Therefore, we know that anything that is perpendicular created a right angles', and thus, the any triangle with a right angle is a right triangle.
Find the least common multiple (LCM) of 10 and 8.
Answer:
40
Step-by-step explanation:
Find the smallest multiple number shared by the two numbers.
10: 10, 20, 30, 40
8: 8, 16, 24, 32, 40
40 is the smallest multiple shared by the two numbers, and is your answer.
~
Answer:
40
Step-by-step explanation:
have a nice day
a number is chosen at random from 1 to 25 find the probability of selecting a number less than 4
3/25 I hope I helped
Answer: 12% or 3/25
Step-by-step explanation: There is only 3 numbers less than four, 123! so we would put those three numbers and the 25 into a fraction, 3/25. 25 can not be divided by 3 so no need to reduce the fraction,
To find perfect multiply the fraction by 100, 3/25 x 100 = 12
The length of a rectangle is 7 centimeters less than its width. What are the dimensions of the rectangle if its area is 144 square centimeters?
Answer:
Width = 16 cm
Length = 9 cm
Step-by-step explanation:
Width = x cm
Length = x - 7
Area = 144 cm²
x(x - 7) = 144
x² - 7x = 144
x² - 7x - 144 = 0
(x - 16)(x + 9) = 0
x = 16 or x = -9 (rejected)
Width = 16 cm
Length = 16 - 7 = 9 cm
The width is determined to be 16 cm, and the length is 9 cm.
The student is asking for the dimensions of a rectangle given an area of 144 square centimeters and a length that is 7 centimeters less than its width. To find the dimensions, we can let the width be represented by w and the length by w - 7 (since the length is 7 centimeters less than the width). The area of a rectangle is calculated by multiplying the length by the width, which in this equation would be w(w - 7). We can set this equal to the given area of 144 square centimeters and solve for w.
Setting up the equation: w(w - 7) = 144. This simplifies to w^2 - 7w - 144 = 0.
To solve for w, we need to factor the quadratic equation, which results in (w - 16)(w + 9) = 0. The width can be 16 cm because it must be a positive value. Subsequently, the length is 16 - 7 = 9 cm.
Therefore, the dimensions of the rectangle are 16 cm in width and 9 cm in length.
An item that originally cost $12 is marked down 30%. What is the price of the item after the markdown? Show work please
First we have to determine 30% of 12.
(30×12)÷100=3.6 so 3.6 is 30% of 12.
12 - 3.6= 8.4
Your answer is 8.4