Answer: (A) 19.3%
Step-by-step explanation:
[tex]\text{Vodka: }2.5\text{ oz }\times\dfrac{\$35}{1\text{ liter }}\times\dfrac{1\text{ liter }}{33.814\text{ oz }}=\$2.59\\\\\text{Vermouth: }0.5\text{ oz }\times\dfrac{\$7.99}{1\text{ liter }}\times\dfrac{1\text{ liter }}{33.814\text{ oz }}=\$0.12\\\\\text{Olive: }\$0.15[/tex]
Vodka + Vermouth + Olive = Total Cost
$2.59 + $0.12 + $0.15 = $2.86
[tex]\dfrac{\text{cost to make}}{\text{selling price}} = \dfrac{\$2.86}{\$15} = 0.19 = 19\%[/tex]
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
Multiply.
Answer:
Alternative A
Step-by-step explanation:
2x(x² + 2x - 6)
2x³ + 4x² - 12x
I hope I helped you
Answer: A
Step-by-step explanation:
2x(x² + 2x - 6)
= 2x(x²) + 2x(2x) + 2x(-6)
= 2x³ + 4x² - 12x
A family buys groceries for $154.35, including $10.37 in taxes. The bill includes $27.83 worth of items that are not taxable. Find the sales tax rate.
Write an equation. Is the given value a solution? A farmer sees 23 of his cows out of the barn. He knows that he has 42 cows altogether. Let c represent the number of cows still in the barn. Could c = 19?
By establishing and solving the equation c + 23 = 42, where c represents the number of cows in the barn, it is demonstrated that c = 19 is indeed a correct solution to the problem.
The student needs to determine if c=19 is a solution for the equation representing the number of cows still in the barn. To represent the total number of cows with those seen outside and those inside, we can write the equation c + 23 = 42. This equation sums the number of cows outside (23) with those still in the barn (c) to get the total number of cows (42).
Calculating the Unknown
Firstly, define the symbol c as the number of cows still in the barn. Then, using our equation c + 23 = 42, we can solve for c by subtracting 23 from both sides of the equation, getting c = 42 - 23, which simplifies to c = 19.
Evaluating the Solution
Substituting c = 19 back into the original equation to check if it makes sense, we get 19 + 23 = 42, which is a true statement, confirming that the value of c is indeed 19 and it is the correct solution.
SUPER EASY MATH QUESTION!!!!!! 25 POINTSSSSS!!!!!!!! PLEASE ANSWER CORRECTLY!!!!!!!!!!!!!!!!
Problem:
Five sisters each bought matching scarves and two pairs of socks. The scarves were priced at $12.00. If the total bill for all 5 sisters was $125.00, what was the price of one pair of socks? (Please answer in equation form. Ex: x = 29).
x - price of one pair socks
The equation:
[tex]5(2x)+5\times12=125[/tex]
[tex]10x+60=125[/tex] subtract 60 from both sides
[tex]10x=65[/tex] divide both sides by 10
[tex]\boxed{x=6.5}[/tex]
Answer: The price of one pair of socks is $6.50.5(2x) - five sisters · two pairs of socks
5 · 12 - five scraves
125 - total cost
Which expression, when simplified, is equal to 7p? A) 9p – 2pq – 7p – 5p + 2pq B) 9p – 2pq – 7p + 5p – 2pq C) 9p + 2pq – 7p + 5p – 2pq D) 9p + 2pq + 7p + 5p – 2pq E) 9p + 2pq – 7p + 5p + 2pq
Answer:C
Step-by-step explanation:
2pq - 2pq is zero. B and E have no zero pq coefficient.
p(9-7+5) = 7p
Answer:
c
Step-by-step explanation:
i did the test lol
Sweets are sold loose, or pre-packed in 120g bags. The 120g bags are ?1.49 each. The loose sweets are ?0.89 for 100g. By calculating the price per gram, determine which is better value.
Answer:
The loose sweets at ?0.89 for 100 g.
Step-by-step explanation:
First, calculate the price per gram. You do this by dividing the price by the grams.
?1.49 / 120 g = 1.49 / 120 = 0.0124 (4 dp)
Because the answer was very long, I have rounded it to 4 decimal places (4 dp).
?0.89 / 100 g = 0.89 / 100 = 0.0089
Next, you must calculate both pre-packed and loose sweets to the same weight. I am calculating them both to 100 g.
0.0124 x 100 = 1.24
0.0089 x 100 = 0.89
Finally, the cheapest product for 100 g will be the better value. In this case, it is the loose sweets.
M is the midpoint of YZ. If YM = x + 3, and YZ = 3x -1, find MZ
The length of {MZ} will be equivalent to -
MZ = 4 - 2x.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that M is the midpoint of YZ. Also, it is given that YM = x + 3, and YZ = 3x - 1.
Midpoint divides the line into two equal parts.We can write -
YM + MZ = YZ
(x + 3) + MZ = (3x - 1)
MZ = (x + 3) - (3x - 1)
MZ = x + 3 - 3x + 1
MZ = 4 - 2x
Therefore, the length of {MZ} will be equivalent to -
MZ = 4 - 2x.
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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement describes the relationship between MK and M'K'? A)M'K' is twice the length of MKB)M'K' is half the length of MK.C)M'K' is the same length as MK.D)More information is needed to determine the relationship
Answer:
Option C -M'K' is the same length as MK
Step-by-step explanation:
Given : Line segment MK has endpoints at (2, 3) and (5,4)
M'K' is the reflection of MK over the y-axis
By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)
which implies M'K' has end points (-2,3) and (-5,4)
Now, we find the length of MK
let [tex](x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)[/tex]
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
⇒ [tex]d=\sqrt{(2-5)^2+(4-3)^2}[/tex]
⇒[tex]d=\sqrt{9+1}[/tex]
⇒[tex]d=\sqrt{10}[/tex] ....(1)
Now, we find the length of M'K'
let [tex](x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)[/tex]
[tex]d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}[/tex]
⇒ [tex]d^{'}=\sqrt{(-2+5)^2+(3-4)^2}[/tex]
⇒[tex]d^{'}=\sqrt{9+1}[/tex]
⇒[tex]d^{'}=\sqrt{10}[/tex] .....(2)
from (1) and (2) we simply show that the length of MK and M'K' is equal
we can also refer the figure attached for reflection of MK and M'K'
therefore, Option C is correct
Answer:
M'K' is the same length as MK.
Step-by-step explanation:
A reflection is a rigid transformation. Rigid transformations do not affect the length of the line segment
The ratio of the lengths of the corresponding sides of two rectangles is 8:3 . The area of the larger rectangle is 320 ft. What is the area of the smaller rectangle
Given the inequality: m − 11 ≤ 16 or 15 − 2m < −7 Solve for j and graph the solution on a number line. Must show your work to receive full credit. (Equation is the second question in the attached photo)
Answer:
m ≤ 27 or m > 11
m is all real number since we have the or
Step-by-step explanation:
m − 11 ≤ 16 or 15 − 2m < −7
Lets solve the one on the left first
m − 11 ≤ 16
Add 11 to each side
m-11+11 ≤ 16 +11
m ≤ 27
Now lets solve the one on the right
15 − 2m < −7
Subtract 15 from each side
15 −15- 2m < −7 -15
-2m < -22
Divide by -2, remembering to flip the inequality
-2m/-2 > -22/-2
m > 11
From which language does the underlined phrase originate? When the house guests arrived, Granny said, "Mi casa es su casa." A. French B. Italian C. Spanish D. Algonquian Please select the best answer from the choices provided A B C D
The correct answer is option C - Spanish.
From which language does the underlined phrase originate? When the house guests arrived, Granny said, "Mi casa es su casa."
"mi casa es su casa" is a common Spanish expression which means - "welcome" or "make yourself at home" Mi casa es su casa literally means "my house is your house".
There are 40 flavors of ice cream at the local ice cream store. 37.5% of the flavors contain chocolate. Which proportion could be used to calculate the total number of ice cream flavors that contain chocolate?
at the beginning of the week, Miguel's odometer reads 87,845. At the end of the week, his odometer reads 88,003. How many miles did Miguel travel that week?
Hey there.
To do this, we simply just subtract. 88,003-87,845
Once we do this, we get 158. Miguel traveled 158 miles that week.
-TheOneandOnly003
Answer:
87,845-88,033= -188 so he traveled 188 miles that week.
Need help with Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.
To know if a dilation is an expansion ( bigger) r a contraction ( smaller) ignore the negative sign.
If the number is larger than 1, it is an expansion, if the number is smaller than 1 it is a contraction.
-4 is an expansion
2.5 is an expansion
2/3 is a contraction
-3/4 is a contraction
AD _____ EC
Choose the relationship symbol to make a true statement.
<
=
>
Answer:
AD>EC
Step-by-step explanation: If you look at the two traingles, angle AD is a bit larger than angle EC, this is due to the degrees of the angles, EC-> 25,
AD-> 30, this makes the triangle of AD, greater than EC.
Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25 Find the tip using that method. Halp pllz!
Answer:
$3.4875
Step-by-step explanation:
AS the ride is completed and according the rule the person have to give a tip on the total taxi ride
according to the given
tip given 15%
Total ride cost = $23.25
To find is the total tip given in dollars
Solution:
Total tip in dollars = 15 % of total ride cost
Putting the values of the given
Total tip in dollars = 15 % of 23.25
it can be written as
= [tex]\frac{15*23.25}{100}[/tex]
=[tex]\frac{348.75}{100}[/tex]
=$ 3.4875
So the total tip would be $3.4875
Answer:
3.50 cent
Step-by-step explanation:
I take 10% and 20% of the number. For this ride, that would be about $2.33 and 4.66.
Then I estimate what is about half way between those two numbers. It looks like about $3.50 would be about 15%.
CDs are on sale for $5 each.Jennifer has $45 and wants to buy as many as she can.How many CDs can Jennifer buy?
Answer: (9 CDs)
If she has $45 and the CDs cost $5. The most she can buy is 9 CDs
The number of maximum CDs that Jennifer can buy is 9.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Division = divide any two numbers or variables called division.
As per the given,
Cost of one CD = $5
Jennifer budget = $45
Number of CDs can buy = Jennifer's budget/cost of one CD
Number of CDs can buy = 45/5 = 9
Hence "The number of maximum CDs that Jennifer can buy is 9".
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Three electrical appliances each have power ratings of 1 7/8 watts, and 2 other appliances each have power ratings of 4 3/4 watts.What is the total power used by these appliances?
Answer:
11 3/8 watts
Step-by-step explanation:
1 7/8 converts to 1.875
4 3/4 converts to 4.75
4.75 * 2 = 9.5
9.5 + 1.875 = 11.375
11.375 converts to 91/8 or 11 3/8
35 pts!! Please help this will help me graduate!!!
Consider this system of equations:
-3x + 5y = 22 (equation 1)
20y − 11 = 12x (equation 2)
This system of linear equations represents ___lines.
(A. coincidental B. Intersecting C. parallel)
The system of equation 1 and the equation 20y = 12x + 88 represents___ lines.
(A. coincidental B. Intersecting C. parallel)
Answer:
This system of linear equations represents parallel lines.
The system of equation 1 and the equation 20y = 12x + 88 represents coincidental lines
Step-by-step explanation:
-3x + 5y = 22 (equation 1)
Lets solve the equation for y
Add 3x on both sides
5y= 3x+22
Now divide by 5 on both sides
[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]
Slope of equation 1 is [tex]\frac{3}{5}[/tex]
20y − 11 = 12x (equation 2)
solve for y
Add 11 on both sides
20y = 12x + 11
Divide by 20 on both sides
[tex]y=\frac{12x}{20}+ \frac{11}{20}[/tex]
simplify the fraction
[tex]y=\frac{3x}{5}+ \frac{11}{20}[/tex]
Slope of equation 2 is [tex]\frac{3}{5}[/tex]
Slope of equation 1 and equation 2 are same , so the lines are parallel
This system of linear equations represents parallel lines.
-3x + 5y = 22 (equation 1) and 20y = 12x + 88
Solve both equations for y
-3x + 5y = 22 (equation 1)
[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]
Slope of equation 1 is [tex]\frac{3}{5}[/tex] and y intercept is 22/5
20y = 12x + 88
Divide by 20 on both sides and simplify the fraction
[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]
Slope of 20y=12x+88 is [tex]\frac{3}{5}[/tex] and y intercept is 22/5
Slope and y intercepts are same so the lines are coincidental
The system of equation 1 and the equation 20y = 12x + 88 represents coincidental lines
It takes layla 2/5 hour to swim 1/2 mile what is the unit rate of miles that layla can swim per hour
Answer:
1 1/4 mph
Step-by-step explanation:
Distance = rate x time
1/2 mile = R x 2/5 hour
1/2=2/5R
/2/5 /2/5
R=1/2 x 5/2
R=1 1/4
I hope this helps :)
1 _____ 2
Choose the relationship symbol to make a true statement.
<
=
>
Answer:
The answer =
Step-by-step explanation:
A bouquet of flowers contains 46 flowers and half of them are roses.How many of the flowers are not roses
Answer:
23
Step-by-step explanation:
46 divided by 2
equals:23
Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6plus$3 per mile. The total fare was $24, not including tip. How many miles did Mike travel by taxi on this ride.
Answer:
6 miles
Step-by-step explanation:
AS Mike took the taxi from his home to airport and covered a distance
Initial fee of the ride was $ 6 which is fixed
Now with each mile he has to pay $3
Total he paid = $ 24
Now we have to find the total no of miles traveled by Mike
The tip given is 0
Now from the given we can make an equation
Initial fee + 3 * miles traveled = total Paid
Let total no of miles traveled are x
Putting all the values in the given equation
6 + 3 * x = 24
6 + 3x = 24
3x = 24-6
3x = 18
Dividing both sides by 3
x = 18 /3
x =6 miles
So the total miles traveled by him is 6 miles
The equation is $6 + $3 *m = $24, where m represents the number of miles traveled. Solving this, Mike traveled 6 miles.
The student's question concerns calculating the distance Mike traveled by taxi, given the initial fee and the per mile charge, as well as the total fare. To solve this, we can set up a simple algebraic equation. The initial fee is $6, and the charge per mile is $3. Since the total fare was $24, our equation becomes:
Initial fee + (charge per mile * number of miles) = Total fare
$6 + $3 * m = $24
Where m represents the number of miles Mike traveled. We will solve for m to find the distance Mike traveled
Subtract the initial fee from the total fare: $24 - $6 = $18Divide by the charge per mile to find the number of miles: $18 / $3 = 6 milesThus, Mike traveled 6 miles by taxi on this ride.
In your neighborhood, 7/25 of your neighbors have dogs. This is equivalent to what decimal?
See the attached picture:
The fraction 7/25 translates to the decimal 0.28 in mathematics.
Explanation:In the question, we are to translate the fraction 7/25 to a decimal. This is a straightforward conversion in the field of mathematics. To convert this fraction to a decimal, we divide the numerator (the top number) by the denominator (the bottom number), yielding 7 ÷ 25 = 0.28. Therefore, the fraction 7/25 is equivalent to the decimal number 0.28 when rounded to two decimal places.
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Sarah bought a shirt on sale for $35. The original price of the shirt was three times that amount Sarah also bought a pair of shoes on sale for $28 they original price of the shoes with five times that amount together how much money did the shirt and shoes cross before they went on sale.
Answer:
$245
Step-by-step explanation:
Orignal price for shirt was 105
Original price for shoe sizes was 140
105+140=245
he law of cosines for RST can be set up as 52 = 72 + 32 – 2(7)(3)cos(S). What could be true about RST? Law of cosines: a2 = b2 + c2 – 2bccos(A)
Answer:
The length of RT is 5. The length of RS and ST is either 7 or 3.
Step-by-step explanation:
The Law of Cosine is defined as
[tex]a^2=b^2+c^2-2bc\cos(A)[/tex]
It is given that, the law of cosine for triangle RST can be set up as
[tex]5^2=7^2+3^2-2(7)(3)\cos(S)[/tex]
Therefore the length of opposite side of angle S is 5. The opposite side of angle S is RT, therefore the length of RT is 5.
The length of two other sides are either 7 or 3.
Therefore length of RT is 5. The length of RS and ST is either 7 or 3.
Answer:
answer is d on edge
Step-by-step explanation:
One side of a kite is 5 cm less than 2 times the length of another. If the perimeter is 14 cm, find the length of each side of the kite.
A) 5 cm, 5 cm
B) 4.2 cm, 3.4 cm
C) 6.3 cm, 7.7 cm
D) 4 cm, 3 cm
Answer:
Step-by-step explanation:
Alright, lets get started.
Suppose one side of the kite is x
One side of a kite is 5 cm less than 2 times the length of another.
So, another side of the kite will be = [tex]2x-5[/tex]
So, the all 4 sides of the kite will be x, x , 2x-5 and 2x-5
The perimeter of the kite will be = [tex]x+x+2x-5+2x-5=6x-10[/tex]
As per given in question, perimeter is 14, so
[tex]6x-10=14[/tex]
Adding 10 in both sides
[tex]6x=24[/tex]
Dividing 6 in both sides
[tex]x=4[/tex]
So, another side is [tex]2*4-5=3[/tex]
So, the sides are 4 cms and 3 cms : Answer D
Hope it will help :)
Answer:
D) 4 cm, 3 cm
Step-by-step explanation:
Since we know that kite is made of two sets of equal sides.
Let x be the length of one of equal sides and y be length of another side of equal sides.
We have been given that one side of a kite is 5 cm less than 2 times the length of another. We can represent this information as:
[tex]x+5=2y...(1)[/tex]
We are also told that the perimeter is 14 cm. We can represent this information as:
[tex]2(x+y)=14...(2)[/tex]
From equation (1) we will get,
[tex]x=2y-5[/tex]
Substituting this value in equation (2) we will get,
[tex]2(2y-5+y)=14[/tex]
[tex]2(3y-5)=14[/tex]
[tex]6y-10=14[/tex]
[tex]6y-10+10=14+10[/tex]
[tex]6y=24[/tex]
[tex]y=\frac{24}{6}[/tex]
[tex]y=4[/tex]
Therefore, length of one side of kite is 4 cm.
Upon substituting y=4 in equation (1) we will get,
[tex]x+5=2*4[/tex]
[tex]x+5=8[/tex]
[tex]x+5-5=8-5[/tex]
[tex]x=3[/tex]
Therefore, the length of another side of kite is 3 cm and option D is the correct choice.
What is the equation of the line:
Answer:
Final answer is y=3x-2.
Step-by-step explanation:
We have been given a graph and using that graph we need to find the equation of line.
Equation of line is given by formula y=mx+b
Where b is the y-intercept.
We see that graph crosses y-axis at (0,-2) so that means b=-2
Now plug b=-2 into formula y=mx+b. We get:
y=mx-2 ...(i)
Now find any point from the graph say (1,1) and plug into (i) to find value of slope m
1=m*1-2
1=m-2
1+2=m
3=m
Now plug m=3 into (i). We get:
y=3x-2
Hence final answer is y=3x-2.
Which transformations map the strip onto itself?
PLEASE help!!!! Will give BRAINLIEST.
Thank you very much!
Answer: D.
A horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180° rotation.
The transformations that can map a strip onto itself in geometry are reflection, rotation, and translation. Reflection flips the shape over an axis, rotation turns it around a central point, and translation moves it along a vector without changing its orientation.
Explanation:In mathematics, particularly geometry, there are several types of transformations that can map a figure onto itself. Probably you are referring to a strip as in a planar shape, such as a rectangle or square. The main transformations that can map this strip onto itself are: reflection, rotation, and translation.
Reflection is like flipping the strip over an axis. If the strip is symmetrical, it will map onto itself. Rotation means turning the strip around a central point. For instance, rotating a square shape 90, 180, 270, or 360 degrees about its center will map it onto itself. Lastly, translation keeps the strip in the same orientation and moves it along a vector direction. As long as it doesn't interfere with its setting, it would still map onto itself.
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There are 7 students in a class: 2 boys and 5 girls. If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?
Answer:
Two sevenths
Step-by-step explanation:
Final answer:
To find the probability that everyone in the group is a girl, we use the combination formula to calculate the number of ways to choose a group of 3 from 7 students and the number of ways to choose 3 girls from the 5 available. The probability is 2/7.
Explanation:
To find the probability that everyone in the group is a girl, we need to consider the total number of ways to choose a group of 3 from the 7 students, and the number of ways to choose 3 girls from the 5 available.
The total number of ways to choose a group of 3 from 7 is given by the combination formula, which is:
C(7, 3) = 7! / (3! * (7-3)!) = 35
The number of ways to choose 3 girls from 5 is:
C(5, 3) = 5! / (3! * (5-3)!) = 10
Therefore, the probability that everyone in the group is a girl is:
P(girls) = C(5, 3) / C(7, 3) = 10 / 35 = 2/7