Answer:
[tex]x < 2 \frac{2}{3} [/tex]
Step-by-step explanation:
The symbol for greater than is '>'.
-3x +6 > -2
Bring constants to one side:
-3x > -6 -2
Simplify:
-3x > -8
Divide both sides by -1, change sign:
3x < 8
Divide by 3 on both sides:
[tex]x < \frac{8}{3} \\ x < 2 \frac{2}{3} [/tex]
Answer:
it is a
Step-by-step explanation:
just got it right
the chef has eight blocks of butter. she cuts the butter into fourths. how many slices of butter does the chef have now
Answer:
32 Blocks of Butter
Explanation:
Since the chef is starting with 8, and I'm guessing they are cutting all the blocks of butter into fourths; this is a multiplication equation. 8×4=32
Answer:
[tex]\huge\boxed{32\ blocks\ of\ butter}[/tex]
Step-by-step explanation:
The chef had = 8 blocks
She cuts/ divides the blocks into fourths.
The chef has now:
=> [tex]8 / \frac{1}{4}[/tex]
=> [tex]8 * 4[/tex]
=> 32 blocks of butter
A group of 12 male and 8 female students is talking about going out for pizza. If 50% of the male students actually go and 25% of the female students actually go, find the probability that a randomly chosen student is female, given that she is among those who go out for pizza.
Answer:
1/4
Step-by-step explanation:
12*50%=12*0.5=6 males
8*25%=8*0.25=2 females
2+6=8
2 out of 8 students are female
2/8=1/4
4. The admission fee at a small fair is $1.50 for
children and $4 for adults. On a certain day, 1,486
people enter the fair and $3,479 is collected. How
many children and how many adults attended?
a. 500 adults, 986 children
b. 986 adults, 500 children
c. 432 adults, 1004 children
d. 1004 adults, 432 children
Answer:
The answer is a
Step-by-step explanation:
500 times 4 is 2,000
986 times 1.50 is 1,479
Therefore your answer is a
¯\(°_o)/¯
for evaluating functions from a graph what is f(-2)=
Manuel buys 7.9 pounds of strawberries. Each pound costs $3.89. Which expression gives the best estimate of the cost of the strawberries?
Answer:
x= 3.89 x 7.9
Step-by-step explanation:
x= 3.89 x 7.9
x=30.731
Answer: (8)($4)
Answer with an explanation:
What we need to know: Any number 5 or higher is automatically rounded up, any number 4 or lower is automatically round down. Also if the number is after the decimal you can say 5 or higher with a zero because it doesnt do anything to the number, so you could say .50 or higher or .40 or lower and if it has three decimal places just add another zero so it would be .500 higher or .400 lower.
So, 7.9 is rounded up to 8.0 because 9 is 5 or higher.
$3.89 is rounded up to $4.00 because .89 is higher than .50.
Now just take off the zeros from 8.0 and $4.00 to get (8)($4)
Hope this helps.
btw my hands are numb from answering all the questions I have answered today so brainliest would be appreciated. :))
David rolled a number cube 20 times. The cube landed on the number 3 six times. Which best describes what would likely happen if Dan rolled the number cube another 80 times?
Answer:
It is likely that the experimental probability of 3 will reach towards the theoretical probability of 3, if Dan rolled the number cube another 80 times.
Step-by-step explanation:
A number cube has 6 faces and contains the numbers from 1 to 6 on each of its faces.
And each number is equally likely to come.
i.e. Theoretical probability of each face = [tex]\frac{1}{6}[/tex]
Probability of any event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
It is given that number of times 3 occurs is 6 out of 20.
So, experimental probability of 3 = [tex]\frac{6}{20}=\frac{3}{10}[/tex]
Here, we can see that experimental probability of 3 is greater than that of theoretical probability of 3.
But the number of iterations here are smaller in number i.e. only 20.
As the number of iterations will increase, it is likely that the experimental probability of 3 will reach towards the theoretical probability of 3.
So, we can say that:
It is likely that the experimental probability of 3 will reach towards the theoretical probability of 3, if Dan rolled the number cube another 80 times.
Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that
(28+45) -73
GOS
28
45
Which best describes Nadia's solution?
Answer:28
Step-by-step explanation:
Answer:
C. She is incorrect because she should have squared each leg length and then found the sum.
Step-by-step explanation:
1.Square roots are the ____ of perfect squares.
(1) Determine whether the relation R on the set of all integers is reflexive, symmetric, antisymmetric, and/or transitive, where (x, y) ∈ R if and only if (a) x − y = 0 (b) x = |y| (c) x + y is odd (2) Which, if any, of the relations from the previous two problems is an equivalence relation?
Answer:
Step-by-step explanation:
1)
a) x-y = 0
Reflexive :
x-x=0, where x and 0 are whole numbers is valid for all x
In this way, x-x is a number
Which infers that (x,x) ∈ R
In this way, R is reflexive
Symmetric :-
(x-y) is a whole number
Which infers - (x-y) is likewise a whole number
Which infers (y-x) is a number
In this way, (x-y) is a number infers that (y-x) is likewise a whole number
i.e If (x,y)∈R at that point (y,x)∈R
In this way, R is Symmetric.
Against Symmetric:-
(x,y)∈R
x-y=0, where x and y are whole numbers
Which infers x=y
Assume, (y,x)∈R
y-x=0, where x and y are whole numbers
Which infers y=x
Consequently, (x-y) is a whole number suggests (y-x) is additionally a whole number
for example In the event that (x,y)∈R at that point (y,x)∈R, where x=y
R is Anti-Symmetric.
Transitive:-
Given,
(x-y)∈R and (y-z)∈R - (I)
To demonstrate that,
(x,z)∈R
from (I)
x-y= 0 and y-z=0
Including both, we get
(x-y)+(y-z)=0
x-z=0
Consequently demonstrated that (x,y)∈R and (y,z)∈R infers that (x,z)∈R
Since the above connection is symmetric, reflexive advertisement transitive. Consequently, it is an identicalness connection.
b) x=|y|
Reflexive:-
x isn't reflexive.
Since for - 2
- 2 ≠|-2|, where - 2 is a whole number.
- 2≠|2|
Consequently, (x,x) isn't Reflexive.
Symmetric:-
(x,y)∈R, infers
x=|y|, where x and y are whole numbers ...(i)
Let x =-2 and y= - 2
- 2≠|-2|
- 2≠|2|
Which infers (x,y) itself doesn't have a place with R.
Consequently R isn't symmetric.
Against Symmetric:-
(x,y)∈R, suggests
x=|y|, where x and y are numbers
let x= - 2 and y =-2
- 2 ≠ |-2|
- 2≠|2|
R isn't hostile to symmetric.
Transitive:-
x=|y| and y=|z| ∈ R
let x=2, y=-2 and z= 2
infers that
2=|-2| and - 2≠|2|
for example 2=|2| and - 2∉|2|
In this way, R isn't transitive.
c) x+y is odd
Reflexive:-
x+x is even, where x is a whole number.
In this way, (x,x)∉R.
R isn't Reflexive.
Symmetric:-
(x,y)∈R
x+y is odd, where x and y are whole numbers
Additionally, (y,x) is odd
infers that y+x is additionally odd
In this way, (y,x)∈R
R is Symmetric.
Against Symmetric:-
(x,y)∈R
infers x+y is odd, where x and y are whole numbers
infers that y+x is additionally odd
In this way, (y,x)∈R
R is Anti-Symmetric.
Transitive:-
Given,
(x,y)∈R and (y,z)∈R, where x,y and z are whole numbers ...(i)
To demonstrate that
(x,z)∈ R
from (I)
x+y is odd and y+z is odd''
Including both we get
x+2y+z is odd
which infers (x,z)∉R
In this way, R isn't transitive.
2) x-y=0 is reflexive, symmetric and transitive in this way it is an equality connection.
while x=|y| and x+y is odd are not equality relations.
. A system consists of three subsystems in parallel. Subsystem A has a reliability of 0.98, subsystem B has a reliability of 0.85, and subsystem C has a reliability of 0.88. Calculate the overall system reliability.
Answer:
[tex]P(System) = 0.73304[/tex]
Step-by-step explanation:
Given
Reliability of:
A = 0.98
B = 0.85
C = 0.88
Required
Determine the overall reliability
The overall system reliability is calculated by multiplying the individual reliability of each subsystems;
i.e.
[tex]P(System) = P(A) * P(B) * P(C)[/tex]
[tex]P(System) = 0.98 * 0.85 * 0.88[/tex]
[tex]P(System) = 0.73304[/tex]
Hence, the overall reliability is 0.73304
Parallelogram ABCD has four congruent sides but no right angles. The diagonals of ABCD intersect at point P.
Which phrase could NOT describe a single transformation that maps parallelogram ABCD onto itself?
A. A rotation of 180 degrees about point P
B.
A rotation of 90 degrees clockwise about point P
o c.
A reflection across the line that passes through points A and C
D.
A reflection across the line that passes through points B and D
Can someone help plssss
Answer:
A
Step-by-step explanation:
A rotation of 180 degrees about point P
Combine like terms:
-3x^3+1+4x^3-3y^3-1+5x^3-7−3x3+1+4x3−3y3−1+5x3−7
Answer:
12[tex]x^{3}[/tex] - 6[tex]y^{3}[/tex] - 14
-9x - x - 7x² - 6x² + 8 +6
Help please
Answer:
[tex] \boxed{ \bold{ \huge{ { \sf{ - 13 {x}^{2} - 10x + 14}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 9x - x - 7 {x}^{2} - 6 {x}^{2} + 8 + 6}[/tex]
Collect like terms
⇒[tex] \sf{ - 7 {x}^{2} - 6 {x}^{2} - 9x - x + 8 + 6}[/tex]
⇒[tex] \sf{ - 13 {x}^{2} - 10x + 8 + 6}[/tex]
Add the numbers
⇒[tex] \sf{ - 13 {x}^{2} - 10x + 14}[/tex]
Hope I helped!
Best regards!!
John has a box of nails. The box contains 65 small nails, 40 medium nails, and 45 large nails. Susan has a box of nails that has the same
proportion of small, medium, and large nails as John's box. There are 176 medium nails in Susan's box.
What is the total number of nails in Susan's box? Enter the answer in the box
Answer:
Susan has a total of 660 nails
Step-by-step explanation:
John box contains 65 small nails, 40 medium nails, and 45 large nails.
The proportion of John nails is
65/5:40/5:45/5
13:8:9
Total = 30
If Susan has 176 medium nails and same proportion to John's nails
8/30(x) = 176
Where x is the total number of nails for Susan box
X= (176*30)/8
X= 22*30
X= 660 nails
Susan has a total of 660 nails
Ready Maid Service charges $25.00 per house, plus an additional $22.00 per hour, h. What
is the constant in this situation?
Answer:
$25 per house.
Step-by-step explanation:
h, is the variable in this sitution. Quite literally this means that # of hours is the only value that will CHANGE/be variable. Since $25 has no variable assigned with it, it will be constant.
solve 6(x-2) ^2 + 7 = 223
Answer:
x = 8 or -4
Step-by-step explanation:
6(x - 2)² + 7 = 223
PEMDAS
expand (x - 2)² first using FOIL
(x - 2)(x - 2)
x² - 2x - 2x + 4
x² - 4x + 4
rewrite equation
6(x² - 4x + 4) + 7 = 223
distribute the 6 through the parentheses
6x² - 24x + 24
rewrite equation
6x² - 24x + 24 + 7 = 223
combine like terms
6x² - 24x + 31 = 223
subtract both sides by 223
6x² - 24x - 192 = 0
divide both sides by 6
x² - 4x - 32 = 0
factor with factoring X
x² - 8x + 4x - 32 = 0
factor by grouping
(x² - 8x) + (4x - 32) = 0
x(x - 8) +4 (x - 8) = 0
(x - 8)(x + 4) = 0
x = 8 or -4
Tyler wants to calculate his grade in his accounting class. His test grades are a 77%, 62% 85%, 80%. What is his average in the class?
Answer:
76%Step-by-step explanation:
Given Tyler test grades to be 77%, 62% 85% and 80%, to find its average in the class, we will find the mean of his grades.
Mean is the ratio of the sum of the grades to the total number of grades given.
[tex]mean (\overline x) = \frac{\sum Xi}{N}[/tex]
Xi are the individual grades
N is the total number of grades = 4
[tex]\overline x = \dfrac{77+62+85+80}{4} \\\overline x = \frac{304}{4}\\ \overline x = 76 % \\[/tex]
Hence his average in the class is 76%
For each of the following examples, solve the given problem and write your answer in scientific notation using the proper number of significant figures. Make sure to include all units in your final answers.
The distance from the Earth to the Sun is a measure of distance called the Astronomical Unit (AU). Given: 1.000 AU = 1.496108 km:
a. convert Uranus’ distance of 19.1903 AU to kilometers (km) =
b. convert the distance to the center of the Milky Way galaxy of 2.6x1017 km to AU =
Answer:
the answer is pythagoras thorium
Data sets A and B are dependent. Find mean of the differences (d bar).
A 32 30 49 45 33
B 30 26 27 37 24
Assume the paired data came from a population that is normally distributed.
Answer:
9.0
Step-by-step explanation:
Mean = Sum of terms/Number of terms
For Data Set A
Mean = 32 + 30 + 49 + 45 + 33/5
= 189/5
= 37.8
For Data Set B
Mean = 30 + 26 + 27 + 37 + 24/5
= 144/5
= 28.8
Hence, the Mean difference is calculated as the absolute difference between the Mean of Data set A and Data set B
Mean Difference = 37.8 - 28.8
= 9.0
A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples? A. x=320 B. x=302 C. x=203 D. x=230
Step-by-step explanation:
In order to solve this question we use ratio and proportion
From the question
3 apples were sold for $2.00
Then
10 apples will be sold for what
That's
[tex] \frac{10 \times 2}{3} \\ = \frac{20}{3} [/tex]Hope this helps you
Point I lies between points W and F. WI = 7x – 3.
IF = 2x + 4. WF = 15x – 21. What is the measure of
WF?
Answer:
WF=34
Step-by-step explanation:
Point I lies between points W and F.
It means point WI + IF = WF
SO WI + IF = WF
WF = 15x – 21
WI= 7x-3
IF= 2x+4
WI + IF = WF
7x-3 +2x+4= 15x-21
7x+2x-15x= -21-4+3
-6x = -22
X= -22/6
X= 11/3
So WF = 15x – 21
WF= 15(11/3) -21
WF= 55-21
WF=34
PLEASE HELP
Q is in the interior of angle XYZ.
The measure of angle XYZ = 3r +2.
The measure of angle XYQ = 2r-1.
The measure of angle ZYQ = 3r-5.
True
False
r = -3
The measure of angle XYQ = 7
10
r = 4
Ray YQ bisects angle XYZ.
Answer:
r=-3 FALSE
m<XYQ=7 TRUE
r=4 TRUE
Ray YQ bisects angle XYZ TRUE
Step-by-step explanation:
2r-1+3r-5=3r+2
5r-6=3r+2
2r=8
r=4
------------------------
r=-3 FALSE
m<XYQ=7 TRUE (XYQ=2r-1=2(4)-1=8-1=7)
r=4 TRUE
Ray YQ bisects angle XYZ TRUE (ZYQ=3r-5=3(4)-5=12-5=7. Both XYQ and ZYQ=7, so ray YQ is the bisector)
I don't know what the 10 is for in your question.
What is 5 8/12 as a mixed number in its simplest form
Answer:
5 2/3
Step-by-step explanation:
Just keep simplifying 8/12 until you end up with 2/3
Find the GCF of both the numerator and denominator and you end up with 2/3
Just to make it clear 8/12 = 2/3
2.16=?2, point, 1, start overline, 6, end overline, equals, question mark
Answer:
[tex]2\frac{4}{25}[/tex]
Step-by-step explanation:
The question asks:
2.16 = ???
The is a decimal number that can be converted to a mixed fraction
2.16 = 2 + 0.16
2 = whole number.
So, we are left with 0.16
We can convert this to a fraction
Since it is in 2 decimal places we Multiply by 100
=( 0.16 × 100)/ 100
= 16/100
We simplify this fraction and we have
= 4/25
Therefore,
2.16 = 2 + 0.16
2.16 = 2 + 4/25
2.16 = [tex]2\frac{4}{25}[/tex]
M(8,3) is the midpoint between the points A(4,5) and B. Find the coordinates of B.
Answer:
(12,-1)
Step-by-step explanation:
Let the coordinates of v to be x and y
(4+x)/2=8
4+x=16
X=12
(5+y)/2=3
5+y=2×3
5+y=6
Y=-1
B(12,-1)
Solve for "x": 3 (1 + 1) = 5 + 2
Answer:
Please where is the x in the question
Answer:
Please where is the x in the question
3/5(4.3 – 7.8) + 2 1/9 ?
Answer:
0.01
Step-by-step explanation:
A piece of rope is 33 1/3 yards long and was cut into equal pieces. How many yards was each piece?
Answer:
11 ¹/₉ yardsStep-by-step explanation:
You didn't say how many pieces. My answer is for 3 equal pieces.[tex]33\frac13\div3=(33+\frac13)\div3=33\div3+\frac13\div3=11+\frac13\times\frac13=11+\frac19=11\frac19[/tex]
For two it would be:
[tex]33\frac13\div2=(33+\frac13)\div2=33\div2+\frac13\div2=16\frac12+\frac13\times\frac12=\\\\=16\frac36+\frac16=16\frac46=16\frac23[/tex]
If two points that are coplanar are also _________________.
Answer:
If two points that are coplanar are also __ collinear
solve for x with work