Answer:
$34
Step-by-step explanation:
I'd work backwards.
For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)
m = 1/2m + 3
1/2m = 3
m = 6
For the second book: (let n = money before book 2)
n - m (money left after book 2) = 1/2n + 2
1/2n +2 is money used up for book, which is the same as n-m.
n = 1/2n + 2 + m
1/2n = 2 + m = 2 + 6
1/2n =8
n = 16
For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):
o - n = 1/2o + 1
o = 1/2o + n + 1 = 1/2o + 16 + 1
1/2o = 17
o = 34
Check!
Spent 17 (half 34) + 1 on book 1
16 left
Spent 8 (half 16) +2 on book 2
6 left
Spent 3 (half 6) + 3 on book 3
0 left
John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.
Answer:
he could by 2 pounds and still have a dollar left over because
15 11 6
-4 -5 -5 so yeah
11 6 1
14. A rare bacterial culture is being grown in a lab. As the days progress, the cells multiply and grow.
After 1 day, there is only 1 cell.
After 2 days, there are 9 cells.
After 3 days, there are 20 cells.
After 4 days, there are 34 cells.
Awhich recursive equation represents the pattern? (2 points)
an = an - 1 + 3n
an = an - 1 +n + 2)
an = an - 1 + 3(n + 2)
an = an - 1 + (3n + 2)
Answer:
a[n] = a[n-1] +(3n +2)
Step-by-step explanation:
The difference between Day 1 and Day 2 is 9 - 1 = 8 cells. The difference between a2 and a1 in each of the answer choices is a2 -a1 = ...
3n = 3(2) = 6 ≠ 8
n+2 = 2+2 = 4 ≠ 8
3(n+2) = 3(2+2) = 12 ≠ 8
3n +2 = 3(2) +2 = 8 . . . . . . this is the appropriate choice:
[tex]\boxed{a_n=a_{n-1}+(3n+2)}[/tex]
Can you please help me I will give out extra points.
Mr smith and mr stein were driving to a buisness meeting 250 miles from their office. Mr Smith drove the first x miles, then Mr Stein drove the rest of the way. Write an algebric expression for how many miles mr stein drove
a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial
Answer:
5
Step-by-step explanation:
a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial
A polynomial with one quadratic obtains the forms ( ax² +bx +c ) with 3 linear factors.
Suppose the three linear fractions are :
(x- P) (x-Q) (x- R)
∴
The polynomial = ( ax² +bx +c )(x- P) (x-Q) (x- R)
By factorization, the highest degree of the polynomial = 5
Solve the following absolute value equation. If needed, write your answer as a fraction reduced to lowest terms. Please explain your answer |y−43|−|y−35| =0
Answer:
y = 39
Step-by-step explanation:
|y−43|−|y−35| =0
add |y−35| to each side
|y−43|= |y−35|
This tells us that y must be between 35 and 43
That means |y−35| is positive so we can remove the absolute value signs
|y−43| is negative so we negate each term ( or multiply by -1)
-y+43 = y - 35
Add y to each side
y-y+43 = y+y-35
43 = 2y -35
Add 35 to each side
43+35 = 2y
78 = 2y
Divide by 2
78/2 = 2y/2
39 = y
Answer:
Step-by-step explanation:
Is the difference of two rational numbers always a rational number? Explain.
Answer:
yes, the subtracting of two rational numbers is like subtracting two fractions, and the result will always be a fraction which is a rational number. (All rational numbers is a number that can be represented as a fraction)
Step-by-step explanation:
Can you please help me with this I will give you a Brainly list and it’s so hard
Answer:
-4-5
Step-by-step explanation:
The temp was at -4 and if it dropped that means you subtract another 5 from it which is -4-5
Answer:
The correct answer is -4 - 5.
Step-by-step explanation:
The original temperature is -4 degrees. Then, the temperature falls by 5 degrees. The temperature "falling" means that it is getting colder or that the temperature is getting lower. This lets us know that we need to use subtraction. The final answer is -4 - 5, which would give us the temperature of -9 degrees as the new temperature.
Hope this helps!
a saleswoman earns 60% commission on all that she sells. Last month she sold $400 worth of merchandise. How much commission (In dollars) did she earn last month?
Answer:
$240
Step-by-step explanation:
If she earns 60% commission, that means she only earns 60% of all sales. So if you take that 60% or (.60) you can multiply that 400 by .60, that equates to 240.
If you were to describe a rotation of triangle ABC what information would you need to include in your description
You would need to include the center of rotation. For many problems, the center is usually the origin (0,0). This is a default assumed center. Though the center could easily be any other point.
In addition, you also need the amount of rotation that is being applied (eg: 90 degrees).
The last bit of info you need is whether you're going clockwise or counterclockwise. For 180 degree rotations, it doesn't matter, but for everything else it does matter.
Can someone please help me with this !! ❤️
Answer:
(x, y) → (x + 6, y + 13)
Step-by-step explanation:
Let's use one of the points to determine the transition:
Coordinates of D = (-5, -7)Coordinates of D' = (1, 6)Transition:
x' - x = 1 - (-5) = 6 y' - y = 6 - (-7) = 13So the rule is:
(x, y) → (x + 6, y + 13)Answer:
up 13 , right 6
Step-by-step explanation:
up 13 , right 6
E(-8,-3)
right 6 for x : -8+6=-2
up 14 for y : -3+13=10
E'(-2,10)
for D : (-5,-7)
right 6 : -5+6=1
up 13 : -7+13=6
D'(1,6) and E'(-2,10)
Find the decimal equivalent to 4 15 .
Divide 4 by 15:
4/15 = 0.2666666
Some of the possible rounding are: 0.267, 0.27 or 0.30
The sum of two numbers is fifteen. One number is three less than the other. Determine the system of equations.
Answer:
let, one number be x
then, other number be x-3
X+X-3=15
or, 2X=15+3
or,2X=18
or,X=18÷2
or,X=9
one number =9
then another number=X-3=9-3=6
The system of equations with two numbers x ad y are,
⇒ [tex]x + y = 15[/tex]
⇒ [tex]x = y - 3[/tex]
Given that,
The sum of two numbers is fifteen.
And, One number is three less than the other.
Let us assume that,
Two variables for the numbers in the system of equations are x and y.
Hence, we can write the system of equations as,
The sum of two numbers is fifteen.
⇒ [tex]x + y = 15[/tex]
And, One number is three less than the other.
⇒ [tex]x = y - 3[/tex]
So, the system of equations is,
⇒ [tex]x + y = 15[/tex]
⇒ [tex]x = y - 3[/tex]
Learn more about systems of equations at:
brainly.com/question/14323743
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Write the following phrase as a variable expression. Use x to represent “a number” The sum of a number and fourteen The translation is...
Answer:
x+14.
Step-by-step explanation:
Sum of a number and 14 is x+14.
Heyy really need help on this question anyone would Iike to help ?
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}. 27 71 121
Answer:
Step-by-step explanation:
h(2)= 2
g(2)= 3(2) + 2 = 6 + 2 = 8
f(8)= 2(8) - 1 = 16 - 1 = 15
Answer:
27
Step-by-step explanation:
Set up the composite result function.
F(G(H(x)))
Evaluate F(G(H(x))) by substituting in the value of H into G.
Multiply 3 by x^2
F(G(x2))=F(3x2+2)
Evaluate F(G(x)) by substituting in the value of G into F
F(3x2+2)=2(3x2+2)-1
Simplify each term.
Apply the distributive property.
F(3x2+2)=2(3x2)+2⋅2-1
Multiply 3 by 2
F(3x2+2)=6x2+2⋅2-1
Multiply 2 by 2
F(3x2+2)=6x2+4-1
Subtract 1 from 4
F(3x2+2)=6x2+3
Evaluate the result function by replacing x with 2 in the function.
6(2)2+3
Simplify the evaluated function.
Simplify each term.
Raise 2 to the power of 2
6⋅4+3
Multiply 6 by 4
24+3
27
iverse of f (x)= 3x
Answer:
Divide −x - x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x3 f - 1 ( x ) = - x 3 is the inverse of f(x)=−3x f ( x ) = - 3 x
Help Me Please!!!! I don’t get it
Answer/Step-by-step explanation:
In mathematics, there's an order to follow in solving calculations like the problems given above. The acronym, PEDMAS illustrates or makes us remember which order to follow. The acronym stands for:
P - Parenthesis. Given any problem to solve, first, solve any operation within a parenthesis. That is, expressions that are grouped together.
E - Exponents. Next in line of priority order is to solve expressions involving exponents.
D - Division
M - Multiplication
A - Addition, and
S - Subtraction.
Now, solve each expression given in the correct order of operation using PEDMAS:
10 - 3³ ÷ 9
10 - 27 ÷ 9
10 - 3
= 7 (the order of operation is EDS = Exponent, Division, and lastly, Subtraction)
7² ÷ (4 + 3)
7² ÷ 7
49 ÷ 7
= 7 (order of operation = PED)
7 × 5 - 2²
7 × 5 - 4
35 - 4
= 31 (EMS)
(6 + 2²) × 10
(6 + 4) × 10
10 × 10
= 100 (PM)
3 × 6 + 8²
3 × 6 + 64
18 + 64
= 82 (EMA)
4³ - 10 ÷ 5
64 - 10 ÷ 5
64 - 2
= 32 (EDS)
3² × 2 - 9
9 × 2 - 9
18 - 9
= 9 (EMS)
9 × 3² - 8
9 × 9 - 8
81 - 8
= 73 (EMS)
6² ÷ 3 - 5
36 ÷ 3 - 5
12 - 5
= 7 (EDS)
(9 - 5)² ÷ 4
(4)² ÷ 4
16 ÷ 4
= 4 (PED)
P(A) = 0.33, P(A and B) = 0.25, find P(B
Answer:
≈0.76
Step-by-step explanation:
P(A) = 0.33
P(A and B) = 0.25
P(B) = ?
-------------
Probability of two events happening is the product of individual probabilities
P(A and B) = P(A)×P(B)Then to find the probability of one of the events:
P(B) = P(A and B) / P(A)P(B) = 0.25 / 0.33 ≈ 0.76what is the percentage of the total variation in candy bar sales explained by the regression model? a. 78.39% b. 88.54% c. 100% d. 48.19%
Complete question :
A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below:
City - - - - - Price ($) -- - Sales
River City - - 1.30 - - - - - - 100
Hudson - - - 1.60 - - - - - 90
Ellsworth - - - 1.80 - - - - - 90
Prescott - - - - 2.00 - - - - 40
Rock Elm - - 2.40 - - 38
Stillwater - - 2.90 - - 32
Answer:
78.39%
Step-by-step explanation:
what is the percentage of the total variation in candy bar sales explained by the regression model?
The question could be interpreted as meaning the percentage of the total variation in the dependent variable (candy bar sales) which can be explained by the regression model. Hence the independent variable is price. This variance can be known by calculating the Coefficient of determination (R^2) value of the regression model.
To save computation time, the R^2 value can be obtained using an online Coefficient of determination calculator.
To obtain the R^2 value, the values of the dependent and independent variables are entered. The R^2 value obtained is : 0.7839
Therefore the total proportion of variance in candy bar sales explained by the regression model is 0.7839 which is equivalent to:
(0.7839 * 100) = 78.39%
Three students need to produce a prime factorization of 48. Donna states that the first factors in the tree should be 6 and 8. Larry states that the first factors in the tree should be 4 and 12. Trish states that the initial factors of 48 do not affect the prime factorization. Explain why Trish is correct. Why is trish correct?
Answer:
Below.
Step-by-step explanation:
The initial factors do not affect the prime factorisation.
Continuing the factorisation will lead to the same result whichever initial factors you choose.
48
4 * 12
2*2 * 2*2*3
= 2*2*2*2*3
48
6 * 8
2*3 * 2*2*2
= 2*2*2*2*3.
Answer:
A prime factorization is the product of the prime numbers that multiply to give the original number. 48 will have a prime factorization of 2(2)(2)(2)(3), or 24(3), regardless of the initial factors.
Step-by-step explanation:
It is correct!
The square root of ____________ like 4, 9, and 16 is a _________ number.
Answer:
The square root of numbers like 4, 9, and 16 is a square number.
Show the steps to get full credit
3 (2x + 2) = 18 + 4(x - 5)
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3(2x+2)=18+4(x-5)[/tex]
Distribute the left and the right:
[tex]3(2x)+3(2)=18+4(x)+4(-5)[/tex]
Simplify:
[tex]6x+6=18+4x-20[/tex]
Combine on the right:
[tex]6x+6=4x-2[/tex]
Subtract 4x from both sides. The right cancels:
[tex](6x+6)-4x=(4x-2)-4x\\2x+6=-2[/tex]
Subtract 6 from both sides. The left cancels:
[tex](2x+6)-6=(-2)-6\\2x=-8[/tex]
Divide both sides by 2:
[tex](2x)/2=(-8)/2\\x=-4[/tex]
Thus, the value of x is -4.
Answer:
x = -4
Step-by-step explanation:
3(2x + 2)=18 + 4(x - 5)
6x + 6= 18 +4x - 20
6x - 4x = -2-6
2x = -8
x = -4
1. Original Sentence: My friend Cody can eat a sandwich faster than any human or animal I have ever seen. New Word: Definition: Two synonyms also considered:
Answer:
My friend Cody can eat a sandwich swiftlier than any human or animal I have ever seen.
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute walk? Write an equation in function notation for the situation, and then use it to solve the problem. Determine if the given statement is True or False.
The dependent variable is the number of hours.
A True B False
The function for the walker's fee is f(h) = 30h + 6.
A True B False
The dog walker charges $22.50 for a 45 minute walk.
A True B False
Answer:
- False
- True
- false
Step-by-step explanation:
- The variable that changes is the price
- 30 is the slope and 6 is the y-int
- 30(.75) + 6 = 28.5
Solve for r. 7(r+1) = 20.3
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{r = 1.9}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{7(r + 1) = 20.3}[/tex]
Distribute 7 through the parentheses
⇒[tex] \sf{7r + 7 = 20.3}[/tex]
Move 7 to right hand side and change it's sign
⇒[tex] \sf{7r = 20.3 - 7}[/tex]
Subtract 7 from 20.3
⇒[tex] \sf{7r = 13.3}[/tex]
Divide both sides of the equation by 7
⇒[tex] \sf{ \frac{7r}{7} = \frac{13.3}{7} }[/tex]
Calculate
⇒[tex] \sf{r = 1.9}[/tex]
Hope I helped!
Best regards!!
r is 1.9
Solve 7(r+1) = 20.3
Remove the brackets by dividing both sides by 7:
7(r+1) / 7 = 20.3 / 7
r + 1 = 2.9
Take 1 to the other side so that you can be left with r. When you do this, the sign will change from positive to negative:
r = 2.9 - 1
r = 1.9
r is therefore 1.9
Find out more at https://brainly.com/question/17289311.
The total number of points scored during 10 football games are shown below 45,47,23,30,27,31,21,31,22,38 select the correct five-number summary from the data set
Answer:
[tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].
Step-by-step explanation:
The given data set is
45, 47, 23, 30, 27, 31, 21, 31, 22, 38
Arrange the data is ascending order.
21, 22, 23, 27, 30, 31, 31, 38, 45, 47
Divide the data in 4 equal parts.
(21, 22),23, (27, 30),( 31, 31), 38, (45, 47)
Now,
Minimum value = 21
First quartile, [tex]Q_1=23[/tex]
Median, [tex]M=\dfrac{30+31}{2}=30.5[/tex]
Third quartile, [tex]Q_3=38[/tex]
Maximum value = 47
Therefore, the five-number summary for the given data set is [tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].
What the measure of AOB?
Answer:
∠ AOB = 17.5°
Step-by-step explanation:
∠ AOB + 110 + ∠ COD = 180 ( sum of angles in straight line )
[tex]\frac{1}{3}[/tex] ∠ COD + 110 + ∠ COD = 180 ( subtract 110 from both sides )
[tex]\frac{4}{3}[/tex] ∠ COD = 70 ( multiply both sides by 3 to clear the fraction )
4 ∠ COD = 210 ( divide both sides by 4 )
∠ COD = 52.5°
Thus
∠ AOB = [tex]\frac{1}{3}[/tex] × 52.5° = 17.5°
Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed 0.8 Mbps.
0.1 0.2 0.2 0.2 0.4
0.4 0.4 0.5 0.5 0.6
0.7 0.8 0.8 0.9 0.9
1.5 1.5 1.6 1.9 1.9
1.9 1.9 2.1 2.4 2.6
2.7 2.8 3.2 3.6 4.5
4.9 5.4 5.8 6.1 6.4
6.6 7.1 9.6 10.9 11.2
11.8 12.1 12.6 13.3 13.8
14.5 14.5 14.9 15.8 28.7
NEED HELP ASAP
Which angle pairs are supplementary? Check all that
apply.
<1 and <2
<4 and <3
<4 and <5
<7 and <5
<3 and <6
Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6
Step-by-step explanation:
A pair of angles is said to be supplementary when the 2 angles add up to give 180°.
Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.
Thus, since m< 3 is given as 90°, m<4 = 90°.
m<4 + m<3 = 180°.
Therefore, <4 and <3 are supplementary.
<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.