Simplify -4(2x - 3) + 7 x – 1.
Answers
Answer:
-x+11
Step-by-step explanation:
Related Questions
When Mrs. Weeks bought all of the baseballs and softballs, she paid
for them using four $100.00 bills. How much change did she receive?
2. Write expressions that include parentheses and order of operations to
show how to find the answer. Show your work.
3. After school began, Mrs. Weeks realized that she needed more
basketballs and footballs. If she spent $135.00 on basketballs and
$48.00 on footballs, how many more balls did she purchase?
4. Write expressions the include parentheses and order of operations to
show how to find the answer. Show your work.
Part 3
Directions: Use pictures and equations to show your work.
At the end of the year, Mrs. Weeks bought an assortment of new balls to
replace some of the old ones. She had $150.00 to spend. Describe two
different ways that Mrs. Weeks could spend her money if she bought at least
two of each of the balls.
Use coins or cut out the manipulatives on the next page to help you act out
the problem. I need help on this one the most please answer
Answers
Answer:
eeeee
Step-by-step explanation:
A politician claims that 20% of the millions of votes cast for his opponent are fraudulent. To test this claim, an investigator collects a random sample of 90 ballots and contacts the voters whose names appear on the ballots to determine if each ballot is in fact fraudulent. Use a normal approximation to find the probability that less than 10 of the selected ballots turn out to be fraudulent, assuming the politician's claim is correct.
Answers
Answer:
"0.0125" is the right solution.
Step-by-step explanation:
The given values are:
Random sample,
n = 90
Claims,
p = 20%
or,
= 0.20
By using normal approximation, we get
⇒ [tex]\mu = np[/tex]
On substituting the values, we get
⇒ [tex]=90\times 0.20[/tex]
⇒ [tex]=18[/tex]
Now,
The standard deviation will be:
⇒ [tex]\sigma=\sqrt{np(1-p)}[/tex]
On putting the above given values, we get
⇒ [tex]=\sqrt{90\times 0.20\times (1-0.20)}[/tex]
⇒ [tex]=\sqrt{18\times 0.8}[/tex]
⇒ [tex]=\sqrt{14.4}[/tex]
⇒ [tex]=3.7947[/tex]
hence,
By using the continuity correction or the z-table, we get
⇒ [tex]P(x < 10) = P(x < 9.5)[/tex]
⇒ [tex]P(x < 10) = P(\frac{x-\mu}{\sigma} -\frac{9.5-18}{3.7947} )[/tex]
⇒ [tex]P(x < 10) = P(Z < -2.24)[/tex]
From table,
⇒ [tex]P(x < 10) = 0.0125[/tex]
If bob has 10 apples and joe takes 2 how many apples does bob have ?
Answers
10-2=8
So,Bob has 8 apples left
Answer:
8 apples
Step-by-step explanation:
10-2=8 apples
How many apples does Bob have ? Bob is left with 8 apples now.
Suppose you have a litter of mice which consists of 5 males and 3 females. If you randomly grab two of them without replacement.
1. what is the probability that they are both male?
2. what is the probability that you get at least one female
3. what is the probability that one is male and one is female
Answers
Problem 1
Answer: 5/14-----------------------
Explanation:
We have 5 males and 3 females, so there are 5+3 = 8 mice total. The probability of selecting a male is 5/8. After that male is chosen, there are 5-1 = 4 of them left out of 8-1 = 7 total. This subtraction happens because the first mouse selected is not replaced. The probability of picking another male is 4/7.
Multiplying these fractions leads to the answer
(5/8)*(4/7) = (5*4)/(8*7) = 20/56 = 5/14
Note: to reduce 20/56 into 5/14, you divide both parts by the GCF 4.
====================================================
Problem 2
Answer: 9/14-----------------------
Explanation:
The events "selecting two males" and "selecting at least one female" are complementary events. One or the other, but not both, must happen.
If we let
A = event of selecting two malesB = event of selecting at least one female (ie one or more females)then we can say
P(A) + P(B) = 1
P(B) = 1 - P(A)
P(B) = 1 - (5/14)
P(B) = (14/14) - (5/14)
P(B) = (14-5)/14
P(B) = 9/14
Note how P(A) = 5/14 is the result from problem 1.
====================================================
Problem 3
Answer: 15/28-----------------------
Explanation:
The probability of selecting a male is 5/8. After the male is chosen, there are 8-1 = 7 mice left. The probability the second mouse is female is 3/7 since there are 3 female mice out of 7 left total.
We get this result after multiplying the values: (5/8)*(3/7) = 15/56
Now consider that the first mouse is female. The probability of this is 3/8. The probability that the second mouse is male is 5/7.
The fractions multiply to (3/8)*(5/7) = 15/56. We get the same result as before due to the numerators swapping places, but not much else happens. So we have a sort of symmetry going on here.
The last step is to add the two results we got:
(15/56)+(15/56) = (15+15)/56 = 30/56 = 15/28
Or you could compute it like this
2*(15/56) = (2*15)/56 = 30/56 = 15/28
The '2' is to signify there are two ways to select exactly one male and exactly one female, where the order doesn't matter.
--------------------------
Here's another way we can get the answer.
The probability we get both males is 5/14 found back in problem 1.
The probability we get both females will follow the same idea as problem 1, and we would compute (3/8)*(2/7) = 6/56 = 3/28
Add those fractions: (5/14) + (3/28) = (10/28) + (3/28) = 13/28
Now consider the events
C = event of selecting two mice of the same gender (both are male OR both are female; pick 1 scenario only)D = event of selecting two mice of different genders (the first is male, the other is female, or vice versa)Events C and D are complementary events.
We calculated that P(C) = 13/28, which means
P(D) = 1 - P(C)
P(D) = 1 - (13/28)
P(D) = (28/28) - (13/28)
P(D) = (28-13)/28
P(D) = 15/28
Un aserradero adquiere maquinaria y equipo para el corte de madera, que va perdiendo valor conforme transcurren los años, hasta que su valor contable es cero, como indica la gráfica de la función D(x)=(-x^3+2x^2+20x+20)/(x^2+4x+4) que modela esta depreciación en el eje y cada unidad son 20 000 pesos y en el eje x cada unidad es de 3 años.
a) ¿Cuál es el valor inicial del equipo y herramienta? ¿cuánto se ha depreciado al cabo de 12 años?
b) ¿existe un modelo lineal que aproxime los mismos valores que la función D(x)?
c) ¿En cuánto difieren los valores de ambas funciones al cabo de 9 años?
Answers
Answer:
-1 5
Step-by-step explanation:
Consider the three points (-7, -7), (21, 14), (49, 35). Part A: Which of the following points are on the same line that passes through the (-7, -7), (21, 14), (49, 35)? Select all that apply. A. (5, 9) B. (5, 2) C. (17, 11) D. (4, 3) E.) (33, 23) Part B: Show or explain how you determined which points were on the line and which were not on the line.
Answers
Answer:
A. (5, 9)
Step-by-step explanation:
Jill says that 1 2/3 equals 3:5 is Jill correct
Answers
Answer:
Not true. Actually, 1 2/3 equals 5/3.
Answer: No
Step-by-step explanation:
If we were to change 1 2/3 into an improper fraction, it would be 5/3. This is expressed as 5:3, not 3:5. These two ratios are not the same. Therefore, Jill is not correct.
Hope this helped :)
A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.
PLEASE HELP!!!!
Answers
Answer: I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'
Step-by-step explanation: Happy Pride Month!!
Helpp me please!!
I need it knowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answers
Answer:
8yd×10yd=80yd
80yd÷2=40yd²
Step-by-step explanation:
Hope it helps :)
Plzzzzz helpppp, Find the value of x
Answers
Answer:
51
Step-by-step explanation:
whats a mode in a data set
Answers
Answer:
The data value that appears the most.
Step-by-step explanation:
In the data set 1,1,1,2,2,3,4,4 one would be the mode, as it is the number that appears the most.
Which shows the best path to find the number of centimeters in 1 yard?
yards -> inches -> centimeters
yards -> feet -> centimeters
centimeters -> feet -> inches
centimeters -> feet -> yards
Answers
Answer:
yards feet centimeters
RJ's teacher gave a pop quiz in math class yesterday. The scores on the quizzes ranged from 60% to 100%. What grade did most students earn on the pop quiz?
Answers
Answer:
Grade's of most student = 80% (Approx.)
Step-by-step explanation:
Given range:
Range of quiz = 60% to 100%
Find;
Grade's of most student
Computation:
⇒ Grade's of most student = Average grade
⇒ Average mean = Sum of observation / number of observation
⇒ Grade's of most student = [60 + 100] / 2
⇒ Grade's of most student = 160 / 2
Grade's of most student = 80% (Approx.)
The Scenario: Your manager has asked you to help plan your company's participation at a local trade show. You have $3000 to spend on the booth space and product brochures. Use what you know about solving inequalities to prepare a proposal that meets the budget.
Answers
Answer:
[tex]x + y\le 3000[/tex]
Step-by-step explanation:
Given
[tex]x \to booth[/tex]
[tex]y \to brochures[/tex]
[tex]Total = 3000[/tex]
Required
The inequality for this scenario
The total spending will not exceed the amount they have to spend; So, the inequality is:
[tex]x + y\le 3000[/tex]
The Home Depot has two special lawnmowers for sale this year. The electric mower costs $300 each, and the gas-powered mower costs $450 each. The store has room for 25 total mowers, and the store has to order at least $6000 worth of mowers to start the sale.
Answers
Answer:
300a + 450b ≤ 6000
Step-by-step explanation:
Given:
Cost of electric mower = $300
Cost of gas mower = $450
Total number of mower = 25
Cost of total mower is at least = $6,000
Find:
Number of each mower equation
Computation:
Number of electric mower = a
Number of gas mower = b
So,
Equations
a + b ≤ 25 ........ Equation 1
300a + 450b ≤ 6000 ....... Equation 1
3,984,896 rounded to the nearest hundred
Answers
Answer:
3,984,896 rounded to the nearest hundred is 3,984,900
Three people are sitting on a bus. Porter is seated 8 feet directly behind Ellen and 3 feet
directly left of Alice. How far is Ellen from Alice? If necessary, round to the nearest tenth.
Answers
Answer:
Ellen is 8 Ft. and 5 In. away from Alice .
Step-by-step explanation:
By connecting the people like dots , you'd create a right triangle . The distance between Ellen and Alice would be the slant height .
To find the slant height , you could use the formula stated below .
Formula: A^2 + B^2 = C^2 .
A and B represent the distance between Porter between Ellen , as well as the distance between Porter and Alice . C represents the slant height , or how far Ellen is from Alice .
Substitute the variables with the given information and solve .
Substitution: 8^2 + 3^2 = 73 .
Simplify the final value by finding the square root of it .
√73 = 8.54400374532
As stated in the question , you should round the final value to the nearest tenth if necessary .
8.54400374532 ( Rounded ( Tenth ) = 8.5 Ft.
The rounded value would be 8.5 feet .
Which point is a solution to the system of inequalities?
StartLayout Enlarged left-brace first row y greater-than-or-equal-to one-half x squared + 4 second row y less-than StartRoot x + 2 EndRoot + 6 EndLayout
(–2, 6)
(1, 9)
(2, 8)
(0, 4)
Answers
D) (0,4)
Correct on Edge 2021
The correct option is 4. (0,4)
Given inequalities are [tex]y\geq \frac{1}{2} x^{2} +4[/tex] and [tex]y< \sqrt{x+2}+6[/tex] .
Taking first inequality,
[tex]y\geq \frac{1}{2} x^{2} +4[/tex]
Or, [tex]y=\frac{1}{2} x^{2} +4[/tex]
now checking which option satisfy the above equation.
Taking option 1.(–2, 6)
on putting x= - 2 and y=6, we get
[tex]6= \frac{1}{2} (-2)^2+4[/tex]
[tex]6=6[/tex]
Hence option 1 (–2, 6) satisfy the equation.
Similarly checking for option 2 and 3 we find that these options totally not follow inequality, so option 3 and option 2 must not be the solution of given inequality.
Now option 4 (0, 4).
Putting x=0 and y = 4, we get
[tex]4=0+4\\4=4[/tex]
Hence option 4 also satisfy the first inequality.
Now we have two option to choose our final answer option 1 and option 4.
since option 4 lies in the shaded region so option 4 will be correct option.
Hence the correct option is 4. (0,4)
For more details follow the link:
https://brainly.com/question/11897796
The pentagons JKLMN and PQRST are similar.
Find the length x of PQ.
Answers
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
Given
The similar pentagons
Required
Find x
To do this, we make use of any equivalent ratios.
In this case, we use:
[tex]KL : QR = KJ : QP[/tex]
Replace each of the above with the side lengths
[tex]4 : 7.2 = 5 : x[/tex]
Express as fractions
[tex]\frac{4 }{ 7.2} = \frac{5 }{ x}[/tex]
Cross multiply
[tex]4 * x = 5 * 7.2[/tex]
[tex]4x = 36[/tex]
Divide by 4
[tex]x = 9[/tex]
find the measure of the missing angle
Answers
Answer:
61
Step-by-step explanation:
88.128 x 0.5 Multiplication question
Answers
Answer: 44.064
Step-by-step explanation:
Answer:
44.064
thats the answer
what is the first step to solving this equation?
-5+6=4
a. subtract 6 from both sides
b. multiply both sides by 5
c. divide both sides by -5
d. add 6 to both sides
Answers
Answer:
a. subtract 6 from both sides
Step-by-step explanation:
Given the algebraic expression;
-5c + 6 = 4
First of all, we would subtract 6 from both sides. This would eliminate the "6" on the left side.
-6 - 5c + 6 = 4 - 6
-5c = -2
5c = 2
Dividing both sides by 5, we have;
c = 2/5
find the value of x in each case. will be posting more questions soon.
Answers
1/4 carton of ice cream divided wvenly by 3
Answers
Answer:
Hello There!!
Step-by-step explanation:
You multiply the reciprocal which is 4 by 3 and that is 12.
Another method: 1/4 ÷3 (use KFC) so it is keep 3,flip the fraction so it is 4/1 them change the sign ÷ into multiplication so it is 3×4/1=12. Therefore,the answer is 12.
hope this helps,have a great day!!
~Pinky~
state of the given functions are inverses. Part 3. NO LINKS!!!!
Answers
Answer:
9.
h(x)=-x-1
let y =-x-1
interchanging role of x & y
x=-y-1
y=-x-1
h-¹(x)=-x-1
again
f(x)=(2-3x)/2
let
y=(2-3x)/2
interchanging role of x & y
x=(2-3y)/2
2x-2=-3y
y=(2-2x)/3
f-¹(x)=(2-2x)/3
Given function are not inverse of each other.
10.
f(x)=-x+3
let y=-x+3
interchanging role of x & y
x=-y+3
y=3-x
f-¹(x)=-x+3
equal to g(x)=-x+3
Given function are inverse of each other.
Answer:
Step-by-step explanation:
Call h(x) = y (It's easier to see).
y = -x - 1
The first step is always to interchange x and y
y = -x - 1
-x = y - 1
Solve for y
-x + 1 = y
If I understand the question, these two (f(x) and h(x)) are not inverses.
10 is a bit tricky. An inverse can invert into itself: This is called an involution. But if they are differently labeled, I'm not sure. I don't think that this is exactly what is men by an involution. Something like y = x would be. But you have 2 different inverses. I'm not sure that this qualifies.
y = x + 3
g = x + 3
x = y + 3
x - 3 = y
PLEASE HELP!!!
Identify the axis of symmetry and the vertex on the graph given. Type your answer in the boxes provided.
Answers
B. x-intercepts
C. vertex
the sum of a number and its inverse is 3 29/52 . Find the number?
I want the working out and the answers please
Answers
Answer:
x1=
104
329+
329
2
−10816
x2=\frac{329-\sqrt{329^{2} -10816} }{104}x2=
104
329−
329
2
−10816
The sum of a number and its inverse is 3 29/52. Find the number?
x+1/x=329/52
x+1/x-329/52=0
solve the fraction
(\frac{(52x^{2} +52-329x)}{52x} =0
52x
(52x
2
+52−329x)
=0
52x^{2} +52-329x=052x
2
+52−329x=0
52x^{2} -329x+52=052x
2
−329x+52=0
using the quadratic formular
(-b+-√b^2-4ac) / 2a(−b+−√b
2
−4ac)/2a
x=\frac{329+-\sqrt{(329)^{2} -4*52*52} }{2*52}x=
2∗52
329+−
(329)
2
−4∗52∗52
x1=\frac{329+\sqrt{329^{2}-10816 } }{104}x1=
104
329+
329
2
−10816
x2=\frac{329-\sqrt{329^{2} -10816} }{104}x2=
104
329−
329
2
−10816
Ben rented a car. It cost $30.00 plus $0.25 per mile. If Ben paid $85.00 for the car rental, how many miles did he drive the car? Write an equation and then use your equation to find your answer.
Answers
Answer:
220 miles
Step-by-step explanation:
85-30=55
55/.25=220
220 = miles
Answer:
Equation:
30 + 0.25x = 85
Work:
30 + 0.25x = 85
85 - 30 = 55
55 / 0.25 = 220
Final answer:
200 miles
Step-by-step explanation:
Hope this helped and have a nice day!!!
What is the domain for √(3x-3)? *
all real numbers except x=1
all real numbers for x≥1
all real numbers for x≥0
all real numbers except x=0
Answers
R
Explanation:
Note that your equation describes a line, since it is a polynomial of first degree. As a general result, every non-constant line has domain
R
and range
R
as well.
The domain is
R
because a line is, in particular, a polynomial, and every polynomial can be computed for every
x
.
The range is
R
because a non-constant line is either always growing or decreasing at a constant rate.
This means that, for every line, you always have one of this two situations:
lim
x
→
−
∞
f
(
x
)
=
−
∞
,
lim
x
→
∞
f
(
x
)
=
∞
or
lim
x
→
−
∞
f
(
x
)
=
∞
,
lim
x
→
∞
f
(
x
)
=
−
∞
and since every polynomial is continuous, it spans all the possible values from its minimum to its maximum. In other words, every line spans all the possible values from
−
∞
to
∞
, which means all the real number, thus the range is
R
.
what is the volume of the prism 2m x 3m x 5m
Answers
Answer:
30 m³
Step-by-step explanation:
2 m x 3 m x 5 m= 30 m³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K