Answer:
pair of jeans = 21
shirt = 30.5
Step-by-step explanation:
Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.
Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.
Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.
5 pair of jeans and 2 shirts for $166. This means:
Equation 1: 5x + 2y = 166
3 pair of jeans and 4 shirts for $164. This means:
2x + 4y = 164
Dividing both sides by 2, we get:
Equation 2: x + 2y = 82
Subtracting Equation 2 from Equation 1, we get:
5x + 2y - (x + 2y) = 166 - 82
5x + 2y - x - 2y = 84
4x = 84
y = 30.5
Using the value of x, in Equation 2, we get:
21 + 2y = 82
2y = 61
y = 30.5
Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.
y represents the cost of sweater, so the cost of each sweater is $ 33.
how to solve this derivative.
f(x)={ln(3x)}^2x
with steps...
Rewrite f(x) as a nested exponential-logarithm expression :
[tex]\left(\ln(3x)\right)^{2x} = \exp\left(\ln\left(\ln(3x)\right)^{2x}\right)[/tex]
(where [tex]\exp(x) = e^x[/tex])
One of the properties of logarithms lets us drop the exponent as a coefficient:
[tex]\exp\left(\ln\left(\ln(3x)\right)^{2x}\right) = \exp\left(2x\ln\left(\ln(3x)\right)\right)[/tex]
Now, by the chain rule, we have
[tex]f(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \implies \\\\ f'(x) = \left(\exp\left(2x\ln\left(\ln(3x)\right)\right)\right)' \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2x\ln\left(\ln(3x)\right)\right)'[/tex]
By the product rule,
[tex]f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left( (2x)' \ln\left(\ln(3x)\right) + 2x\left(\ln\left(\ln(3x)\right)\right)' \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left( 2\ln\left(\ln(3x)\right) + 2x\left(\ln\left(\ln(3x)\right)\right)' \right)[/tex]
By the chain rule again,
[tex]f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + 2x \cdot \dfrac1{\ln(3x)} \cdot \left(\ln(3x)\right)' \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2x}{\ln(3x)} \cdot \dfrac1{3x} \cdot (3x)' \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{3\ln(3x)} \cdot 3 \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{\ln(3x)} \right)[/tex]
Then simplify this to
[tex]f'(x) = \boxed{\left(\ln(3x)\right)^{2x} \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{\ln(3x)} \right)}[/tex]
Evaluate the expression
answer: -24
tbh I’m not sure but thats what I got!
:D
Trina is making a graph that shows a proportional relationship between the amount of money collected, y, and the number of tickets sold, x. She correctly plots the point (600, 1,950). Which of these statements are true? Select all that are correct.
(The point (140, 455) is on the graph because $455 will be collected if 140 tickets are sold.)
(The constant of proportionality is 600/1,950, which is about 31)
(The point (5,16.25) is not on the graph because it is impossible to sell 16.25 tickets.)
(The point (1,3.25) is on the graph and identifies that the cost for each ticket is $3.25.)
(The point (0,0) is on the graph because 0,0 is on the graph of all proportional relationships.)
Answer:
C, E and D are th correct answers
Answer:
Step-by-step explanation:
If your screen shows the numbers in a different order then it is Adc
You need $3,000 to buy a new stereo for your car. If you have $1,200 to invest at
6% compounded annually, how long will you have to wait to buy the stereo?
Answer:
15 years and 8 months
Step-by-step explanation:
I used the formula for compound interest as shown below and solved for the unknown, time.
Since our interest is compounded annually (So once a year) our m value is 1.
Mr. Barker saved his money for 47 years and had $3,700,028 in the bank. He used his money to go on an adventure and spent $967,300. How much did he have left after his adventure?
Answer:
The answer is $2,732,728
Step-by-step explanation:
You start subtracting by aligning the numbers by place value. You subtract and get 28 then you have to subtract 0 - 3 which you can’t do and next to it are 2 other 0’s the only number you can carry is 7. You cross out the 7 and put a 6 in its place. The zero next to it becomes a 9. The one next to it also becomes a 9. Then the one on top of the three becomes a 10. You then do 10 - 3. Which equals 7. Then you do 9 - 7 = 2. 9 - 6= 3. You can’t do 6 - 9. so you cross out the 3 make it a 2 and turn the 6 into a 16. 16 - 9 =7. 2 - 0 =2 so then you get. $2,732,728.
What is the volume?I don’t know what it is and I need help
Answer:
33.51
Step-by-step explanation:
π× r.... 3.142 ×2 = 6.284
180/6.284 =28.644
Amelia's garden is 7 feet long and 8 feet wide. What is the area of Amelia's garden?
Answer:
10 feet long each because 8 × .25 is 2 and 8 + 2 is 10
Step-by-step explanation:
Brainliest?
Help help helpppo plz plz plz I forgot how to do this it is for my Lil bro so plz help meh
Answer:
6 is greater than -7.
-7 has the greater absolute value.
Step-by-step explanation:
Any number that is not negative is going to be greater than any number that is negative. So 6 is greater than -7. But with absolute value it's a little bit different. You can just think about it in terms of distance. Whichever number is further from zero is going to have the greater absolute value whether it's negative or not.
Which best describes how a credit card works?
The credit card company extends you a line of credit. You then pay a small percentage of the cost of those purchases in one annual payment.
The credit card company extends you a line of credit. You purchase "stuff" and the purchase gets directly paid with funds in your checking account.
The credit card company extends you a line of credit. This is free money that you can use to purchase the "stuff" that you need.
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
Answer:
D
Step-by-step explanation:
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
This is the only one that makes sense because of the last sentence which you have the choice to pay in full or a minimum payment
The option that best describes how a credit card works is D. The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
It should be noted that a credit card company typically extends a line of credit to an individual. Then the individual can purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.In conclusion, the correct option is D.
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write the ratio in three ways 10 home runs for every 15 games
Answer:
................................
Answer:
10 to 15 (simplified: 2 to 3)
10/15 (simplified: 2/3)
10 : 15 (simplified: 2 to 3)
what number when decreased by 10% is 180?
Answer:
Number 200 decreased by 10% (10 percent) of its value (percentage decrease) and calculated absolute change (actual difference). Answer: percentage decreased number = 180, absolute change (actual difference) = -20
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
180 - 10% = 162 so 162 is the answer
$D$ is on side $\overline {AB}$ of $\triangle ABC.$ We know $\triangle ABC \sim \triangle ACD$ and $\angle A =48^\circ.$ If $BC=BD,$ what is $\angle B$ in degrees?
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles
The measure of ∠B is 44°
Reason:
The known parameters are;
The point D is on side [tex]\overline{AB}[/tex] of triangle ΔABC
ΔABC ~ ΔACD,
∠A = 48°
BC = CD
Required:
The measure of angle ∠B
Solution:
ΔBDC is an isosceles triangle
Let x, represent ∠B
Therefore, ∠BDC = x, by base angles of an isosceles triangle
Given that ΔABC ~ ΔACD, and ΔBDC is an isosceles triangle, we have;
∠ADC = 2·x by exterior angle of a triangle theorem
Given ΔABC ~ ΔACD, ∠A = ∠A, and ∠ADC = 2·x, therefore, ∠ACD = x
Which gives;
48° + x + 2·x = 180° sum of angles in a triangle theorem
[tex]x = \dfrac{180^{\circ} - 48^{\circ}}{3} = 44^{\circ}[/tex]
∠B = x = 44°
The measure of ∠B = 44°
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Kristin won 70 pieces of gum playing
hoops. After giving some away she only
has 54 remaining. How many did she give
away?
Answer:
16
Step-by-step explanation:
to find the answer we can do a subtraction problem.
70-54=?
70-54=16
so she gave away 16 pieces of gum.
Find the value of this expression if x = 5.
Hi there!
»»————- ★ ————-««
I believe your answer is:
5
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{x^2-5}{x-1}\\-----------\\\\\rightarrow \frac{(5)^2-5}{5-1}\\\\\rightarrow \frac{25-5}{5-1}\\\\\rightarrow\frac{20}{4}\\\\\rightarrow \boxed{5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
please help me with this sum
20 - 3 x 6 + 8 =
Answer:
10
Step-by-step explanation:
Use the PEMDAS rule.
20 - 3 * 6 + 8
= 20 - 18 + 8
= 20 - 10
= 10
When we carry out the operation 20 - 3 × 6 + 8 the result obrained is 10
What is BODMAS?The meaning of BODMAS is given below:
B => BracketO => Of D => DivisionM => MultiplicationA => AdditionS => SubtractionThe above pattern tells us exactly what sign to carry out 1st when we have more than one signs in an expression.
How to determine 20 - 3 × 6 + 820 - 3 × 6 + 8
Carry out multiplication
20 - 18 + 8
Carry out addition
20 - 10
Carry out subtraction
10
Thus,
20 - 3 × 6 + 8 = 10
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Find the equation for the vertical line that goes through point V (-5,17)
Need Help ASAP
Please
Answer:
y=0x-5
Step-by-step explanation:
Hello can someone help me please and thank you
Answer:
a
Step-by-step explanation:
If the length of a sea turtle is
directly proportional to its age,
and a 2-year old sea turtle is 3
inches long, how many feet long
is a 80-year old sea turtle?
Answer:
10 feet
Step-by-step explanation:
Let the length and the age of the sea turtle be L inches and A years old respectively.
Since its length is directly proportional to its age,
L= kA, where k is an unknown constant.
Let's find the value of the constant k.
L= kA
When L= 3, A= 2,
3= k(2)
2k= 3
k= 3 ÷2
[tex]k = \frac{3}{2} [/tex]
Substitute the value of k back into the equation:
[tex]L = \frac{3}{2} A[/tex]
When A= 80,
[tex]L = \frac{3}{2} (80)[/tex]
L= 120
Length of sea turtle
= 120 inches
= (120 ÷12) feet
= 10 feet
Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets
A, B, and C of the universe, U, satisfy the following conditions.
n(U) = 100
n(ANB) = 14
n(A) = 40
n(BNC) = 13
n(B) = 50
n(ANC) = 14
n(C)= 30
n(ANBNC) = 7
q=
S=
t=
V=
w=
X=
Answer:
t=14
v=13
q=12
s=23
w=-4
x=28
Step-by-step explanation:
we know that the universal set =100
so, everything in it must add up to 100
first, from the information given to us,
t= n(A n C)= 14
v=n(B n C)= 13
to find q
we know from our guide that n(A) =40
which means everything inside A will add up to 40
therefore,
q + 7 + 7 + t = 40
and we already know that t = 14
so, that will be;
q + 7 + 7 + 14 = 40
therefore, q = 12
to find s,
we all know that n(B) = 50
which means that everything inside B will be equal to 50
therefore,
s + 7 + 7 + v = 50
and we know that v = 13
therefore,
s + 7 + 7 + 13 = 50
and s will end up to be = 23
to find w,
we know that n(C) = 30
so, everything in C end up to be all equal to 30
therefore,
t + 7 + w + v = 30
from our solution, t = 14, v = 13
so,
14 + 7 + w
q = 19, s = 30, t = 7, v = 6, w = 10, x = 7.
What is a set ?A set is a collection of well defined objects.
According to the given question of Venn diagram given,
n(U) = 100, n(A∩B) = 14, n(A) = 40, n(B∩C) = 13, n(B) = 50, n(A∩C) = 14, n(C) = 30 and n(A∩B∩C) = 7.
t = n(A∩C) - n(A∩B∩C).
t = 14 - 7
= 7.
q = n(A) - [ n(A∩B) + t ]
q = 40 - ( 14 + 7 )
q = 40 - 21
q = 19.
v = n(B∩C) - n(A∩B∩C)
v = 13 - 7
v = 6.
s = n(B) - [ n(A∩B) + v ]
s = 50 - ( 14 + 6 )
s = 30.
w = n(C) - [ n(A∩C) + v ]
w = 30 - ( 14 + 6 )
w = 10.
We know x = n(U) - q - s - w - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C).
x = 100 - 19 - 30 - 10 - 14 - 13 - 14 + 7.
x = 7.
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HELP ME PLEASE AND HURRY
the sum of a rational number and a rational number is rational.
-ALWAYS true
-SOMETIMES true
-NEVER true
thae answer is something true
-3 = -11 # -10 H + 05 > -15 -5 10 15 Stuck? Review related articles/videos or use a hint.
weooooooooooooooooooooooooooooooooooooo9ooooooooooow
Miya plans to visit her sister over the summer. On a map, her house is 2 inches from her sister’s house. If the map uses a scale of 1 inch = 18 miles, how many total actual miles would Miya travel on her trip to and back from her sister’s house?
HELP FAST HELP FAST THIS IS DUE
Answer:
72 miles
Step-by-step explanation:
18x2x2
kids is that 500 5902.3 is equal to 519 when rounding off to the nearest ten she drop 2 to because it is less than 5 do you agree with answer explain your answer
Answer:
5192.3 rounded off to nearest ten
Step-by-step explanation:
We get the number:
51903 dropped as a decimal fraction smaller than 12 dropped and replaced with zero as we round of to tenkids missed to replace 2 with zero and lost unit digits by doing thatTELL ME IF IM CORRECT
James uses 1 1/2 cups of milk and 2 1/4 cups of flour for his favorite cookie recipe. This makes 60 cookies. How much milk and flour would he need to make 40 cookies?
Answer:
to get you answer you would have to add 1 1/2 and 2 1/4, then your equation would be 60 ÷ 3 3/4 , then whatever your total is, multiply that by 40 and that would be your answer
The amount of milk and flour (x) that he needs to make 40 cookies will be 5/2 cups.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
James uses 1 1/2 cups of milk and 2 1/4 cups of flour for his favorite cookie recipe. This makes 60 cookies.
The amount of milk and flour will be
⇒ 1 1/2 + 2 1/4
⇒ 3/2 + 9/4
⇒ 15/4
Then the amount of milk and flour (x) that he needs to make 40 cookies will be
x / (15/4) = 40 / 60
x = 5/2 cups
The amount of milk and flour (x) that he needs to make 40 cookies will be 5/2 cups.
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What is the y-intercept of the graph below.
The y-intercept is 0, as that is where the line go thorugh the y-axis line.
You are playing a card game. If you pull an Ace you win $26, if you pull the King of hearts you win $204, if you pull a jack or a queen you win $13, all other pulls you lose. What price should you be charged to make this a fair game?
$5
$7
$6
$8
Using the expected value, it is found that a price of $6 should be charged to make it a fair game.
--------------------------
The game is fair if the expected value is 0.The expected value is given by each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.In a standard deck, there are 52 cards.
The cost of x.
There are 4 Aces in a standard deck, thus [tex]\frac{4}{52}[/tex] probability of earning 26 - x.
There is 1 King of Hearts in a standard deck, thus [tex]\frac{1}{52}[/tex] probability of earning 204 - x.
There are 4 Jacks and 4 Queens in a standard deck, thus [tex]\frac{8}{52}[/tex] probability of winning 13 - x.
The other 39 cards you lose, thus [tex]\frac{39}{52}[/tex] probability of losing x.
Considering we want the expected value to be 0.
[tex]\frac{4}{52}(26 - x) + \frac{1}{52}(204 - x) + \frac{8}{52}(13 - x) - \frac{39}{52}x = 0[/tex]
[tex]\frac{4(26 - x) + 204 - x + 8(13 - x) - 39x}{52} = 0[/tex]
[tex]104 - 4x + 204 - x + 104 - 8x - 39x = 0[/tex]
[tex]52x = 312[/tex]
[tex]x = \frac{312}{52}[/tex]
[tex]x = 6[/tex]
$6 should be charged.
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At what % does a 20,000 dollar loan taken out for 10 years have a monthly payment of 202.49?
Answer:
Step-by-step explanation:
Suppose you want to work out by combining periods of jogging at 5
mph and walking at 3 mph. You intend to go a total distance of at least 3
miles in at most 45 minutes, and you want the distance jogged to be at
most four times the distance walked.
Determine the distances walked and jogged, to the nearest tenth of a
mile, that would result in
the greatest number of miles jogged.
• the greatest number of miles walked.
Explain in detail how you determined your answers. Include a graph in
your explanation
Answer:
5+3+3+45=?
Step-by-step explanation:
#CarryOnLearningIII
O SYSTEMS OF LINEAR EQUATIONS
At a basketball game, a vendor sold a combined total of 150 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:
Number of here
Directions: Use the information in the charts to answer the questions. Type of Fruit Cost Estimated Cost apple $1.75/pound W 8.75 orange $2.35/pound 9.40 banana $1.50/pound 4.50 Annie bought 5 pounds of apples, 4 pounds of oranges, and three pounds of bananas. Part a. Round the prices to the nearest whole dollar to estimate how much money she spent. Part b. How much money did Annie actually spend? Write a numerical expression to represent the amount of money that Annie spent. Was your estimation an overestimation or underestimation? Why do you think that might be?
Answer:
For part B
Step-by-step explanation:
($1.75*5 pounds of apples)+($2.35*4 pounds of oranges)+($1.50*3 pounds of bananas) = $8.75+$9.40+$4.50 = $22.65
Overestimation
Answer:. the estimate would be 52 dollars
the actual number would be 48.25 dollars
(1.75*5)+(8.75*4)+(1.50*3)=48.25
(2*5)+(9*4)+(2*3)=52
it was an over estimate
when working with Money you round up so you make sure you are not short on change or something along the lines of that, hopes this helps:) tell me if you need a further explanation
