ivy bought 10 packs of cups for her holiday party. a pack of medium cups costs $1.80 and a pack of large cups costs $2.40. she paid a total of $21.60. how many packs of each size cup did she buy?
Answer:
4 packs of medium cups and 6 packs of large cups
Step-by-step explanation:
1.80x + 2.40y = 21.60
1.80(4) + 2.40(6) = 21.60
7.2 + 14.4 = 21.60
21.60 = 21.60
Answer:
Ivy bought 4 packs of medium cups, and 6 packs of large cups.
Step-by-step explanation:
To solve this problem, we will have to use a system of equations. Our first equation will represent the cups, and our second equation the costs.
Let [tex]m[/tex] equal medium cups.
Let [tex]l[/tex] equal large cups.
[tex]m+l=10[/tex]
[tex]1.80m+2.40l=21.60[/tex]
Let's use substitution to solve this system.
Subtract [tex]l[/tex] from both sides of the first equation:
[tex]m=10-l[/tex]
Let's substitute [tex]10-l[/tex] into the second equation for [tex]m[/tex]:
[tex]1.80(10-l)+2.40l=21.60[/tex]
Distribute [tex]1.80[/tex] into [tex](10-l)[/tex]:
[tex]18-1.80l+2.40l=21.60[/tex]
Combine like terms:
[tex]18+0.6l=21.60[/tex]
Subtract [tex]18[/tex] from both sides of the equation:
[tex]-0.6l=3.60[/tex]
Divide by the coefficient of [tex]l[/tex], which is [tex]0.6[/tex]:
[tex]l=6[/tex]
Ivy bought 6 packs of large cups.
_
Let's substitute [tex]6[/tex] into the first equation to find the number of medium cup packs:
[tex]m+6=10[/tex]
Subtract [tex]6[/tex] from both sides of the equation:
[tex]m=4[/tex]
Ivy bought 4 packs of medium cups.
_
We can check our work 2 ways; by substituting our solved values into the initial equations.
1st Equation Check:
[tex](4)+(6)=10[/tex]
[tex]10=10[/tex]
2nd Equation Check:
[tex]1.80(4)+2.40(6)=21.60[/tex]
[tex]7.2+14.4=21.60[/tex]
[tex]21.60=21.60[/tex]
Our answers are correct!
Marcus is a recent college graduate. He has $18,000 in student loans. He took out a loan to buy a car and owes $16,000. The car is now worth $14,000. He got his first paycheck and has $1400 in his checking account. What is Marcus' net worth? (Enter the positive or negative dollar amount only.)
Given :
Marcus is a recent college graduate. He has $18,000 in student loans. He took out a loan to buy a car and owes $16,000. The car is now worth $14,000. He got his first paycheck and has $1400 in his checking account.
To Find :
Marcus's net worth.
Solution :
We know, net worth is given by :
Net worth = $( Total amount owns - Total loan )
Net worth = $( 16000+1400) - ( 18000+14000)
Net worth = $(17400 - 32000)
Net worth = $-14600
Therefore, Marcus' net worth is $-14600 ( He is in a loan of $14600).
Hence, this is the required solution.
Convert 91 centimeters into meters?
Answer: 0.91
Step-by-step explanation: im hungry
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles round to the nearest tenth
Answer:
Step-by-step explanation:
12.5
Number of laps in given distance is 12.5 laps.
Given:
Length of a track = 400 meter
Total distance = 3.1 miles
Find:
Number of laps in given distance
Computation:
We know that
1 miles = 1609.34 meter
So,
Total distance = 3.1 miles
Total distance = 3.1 × 1609.34
Total distance = 4988.954
Number of laps in given distance = 4988.954 / 400
Number of laps in given distance = 12.4723
Number of laps in given distance = 12.5 laps (Approx.)
Learn more:
https://brainly.com/question/18781535?referrer=searchResults
ASAP WILL MARK BRAINLIEST
Find the value of x.
(3x + 2)
112
x =
Step-by-step explanation:
Answer:-As per figure, we can see that they are supplementary angles.
What are Supplementary Angles?
The angles whose sum equals 180°.
So, according to Question, we can write that:-
[tex]3x + 2 + 112 = 180[/tex]
[tex]3x + 114 = 180[/tex]
[tex]3x = 180 - 114[/tex]
[tex]3x = 66[/tex]
[tex]x = \dfrac{66}{3} [/tex]
[tex]x = 22[/tex]
is the answer.
Hope it helps :)
what line matches the equation
Answer:
You forgot the picture
Step-by-step explanation:
I think
Convert.
300 liters
to hectoliters
Answer:
wouldnt it be 3?
Step-by-step explanation:
Answer:
3 hectoliters
Step-by-step explanation:
Divide the volume value by 100
I SWEAR HOW DO I LEARN THIS SHEIT ITS HELLA CONFUSING MAN SOMEONE EXPLAIN PLEASEE
I need help I got -9.125 but the calculator says -9. Here is the problem. Please help ASAP
-8-5n=64+3n
Answer:
n= -9
Step-by-step explanation:
The calculator is correct haha, You're welcome.
Which statement best describes the graph and system of equations?
4y - x = 8
x - 4y = 12
A( infinite solutions
B( no solution
C( one solution
D( not enough information
202.01 has __________ significant figures * 1 point
Answer:
it has 5 significant figures
WILL MARK BRAINLIEST
Read and Answer
try your best :)
Answer:
the answer is D
Step-by-step explanation:
You would multiply the sales tax (0.06) to the total of the items bought then you would add that to the total amount of the items bought so 34.85+ 2.091 which is the answer of D
ANSWER ASAPPPP ‼️‼️‼️
ANSWER PICTURE!!!!!!!
Answer:
1/2
Step-by-step explanation:
see attached picture.
Torrie purchases a bicycle for $175. If the value of the bicycle depreciates at a rate of 7% per year, how much
will the bicycle be worth in 7 years? Round to the nearest dollar.
Step-by-step explanation:
nevermind di ko maintindihan yung sinasabi mo hotdog ng sayo hotdog mobile legend caravans marunong ka mag mobile legends na totoo
One half of a number increased by 3 is five less than two thirds of the number
Answer:
12 is thy number lol
Step-by-step explanation:
1/2x + 3 = 5 - 2/3x
Subtract the 1/2x
You get 3 = 5 - 1/6x
Subtract the five.
-2 = -1/6x
Multiply by -6
x = 12
The number who's one-half increased by 3 is five less than two-thirds of itself is 48.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Let the unknown number be represented by x.
Given the statement that "One half of a number increased by 3 is five less than two-thirds of the number". Therefore, the statement as an expression can be written as,
(1/2)x + 3 = (2/3)x - 5
Solving the equation for x,
3 + 5 = (2/3)x - (1/2)x
8 = (4/6)x - (3/6)x
8 = (1/6)x
x = 8 × 6
x = 48
Hence, the number who's one-half increased by 3 is five less than two-thirds of itself is 48.
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
Which of the following is a list of all the factors of 24? A. 1, 2, 3, 4, 5, 6, 8, 12, 24 B. 1, 2, 3, 4, 6, 8, 12, 24 C. 2 × 2 × 2 × 3 D. 2, 3, 4, 8, 16, 24
Answer:
Step-by-step explanation:
Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in inches of each side of the piece of plywood after the rotation? Can someone please help me ASAP!!
Answer:
[tex]\huge\boxed{7 \ \text{inches}}[/tex]
Step-by-step explanation:
When we rotate a line, the size doesn't change. Size only changes if we dilate the figure. Rotating a figure is the same thing as just changing its position by a set amount.
Hope this helped!
Is zero an integer?
Answer:
All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.
Answer:
yes
Step-by-step explanation:
integers are whole numbers and 0 is a whole number so yes
A store sells wine glasses in boxed sets. Each box contains either 4 or 6 matching glasses. The store has a total of
78 boxes, which contain a total of 384 wine glasses. How many boxes contain 6 wine glasses?
Answer:
36 boxes
Step-by-step explanation:
36 boxes time 6 glasses = 216 glasses
42 boxes time 4 glasses = 168 glasses
all together that 78 boxes and 384 glasses
Angles 1 and 5 are what type of angle pair? *
Answer:
Angle 1 and Angle 5 are corresponding angles
Step-by-step explanation:
Two angles that lie on the same side of the transversal in corresponding positions.
PLZ mark BRAINLIEST
In September, a website had 11,513 visitors. In October, the website had 23,190 more visitors than it did in September. The website had the same number of visitors in November as it did in October. How many visitors did the website have in September, October, and November combined?
Answer:
80,913
Step-by-step explanation:
11,513 September
+ 23,190 for for October which would be 34,703 for October plus another 34,703 for November. That total is 80,913
The number of visitors in September, October, and November combined is 80,919.
What is an expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation such as addition, subtraction, multiplication, or division.
What is an expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation such as addition, subtraction, multiplication, or division.
We have,
September:
Number of visitors to the website
S = 11,513
October:
Number of visitors to the website
O = 11,513 + 23,190 = 34,703
November:
Number of visitors to the website
N = 34,703
The total number of visitors in September, October, and November are:
= S + O + N
= 11,513 + 34,703 + 34,703
= 80,919
Thus the number of visitors in September, October, and November combined are 80,919.
Learn more about expressions here:
https://brainly.com/question/27667386
#SPJ5
ANSWER QUICK PLEASE AND CORRECT
Answer:
111 inches
Step-by-step explanation:
4 inches of length equals 3 inches in width
12ft 4in equals 148 inches (12 inches in a foot)
148 inches {divided by} 4 = 37in
37in {times} 3 = 111in
111 inches = 9ft 3in
The slope of the lineing through the points (3,1) and (-2,4) is
Answer:
[tex]\boxed { m = -3}[/tex]
Step-by-step explanation:
Use the Slope Formula to help you find the slope of the two given points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the given points onto the formula:
[tex](x_{1}, y_{1}) = (3, 1)[/tex]
[tex](x_{2}, y_{2}) = (-2, 4)[/tex]
[tex]m = \frac{4 - 1}{-2 - 3}[/tex]
Solve for the slope:
[tex]m = \frac{4 - 1}{-2 - 3}[/tex]
[tex]m = \frac{3}{-1}[/tex]
[tex]\boxed { m = -3}[/tex]
Therefore, the slope is [tex]-3[/tex].
any luck of help? this is rlly important just answer the ones u know leave the ones u don't I'll still be brainlisting !:)
Answer:
Hajj not connects us with khana kaeba.
PLEASE HELP!!
Does the following depict a translation,rotation, or reflection?
Answer:
This would represent a translation.
Step-by-step explanation:
It wouldn't be a reflection since both images would be reflected on the same x-axis or y-axis. And it wouldn't be rotation because the form of the shape would have been different in a way that instead of being on it's side it would have been upright. So that leaves us with translation.
Answer:
This would represent a translation.
Step-by-step explanation:
Can somebody help me please!!! asap!!
Answer:
The answer is B.
Step-by-step explanation:
Hope this helps! :)
(4) x (-6)=
How do I find the answer for this
Answer:
i think you would treat the other side of the equation like a zero so it would be 4x-6=0 then solve 4x=6 x=1.5
Step-by-step explanation:
Please help me out! Will mark brainliest!
Answer:
Add -3+8
Step-by-step explanation:
You would do this first because it is in the brackets. Usually you would do (*) first but those are just there because the 4 is negative and if they were not there it would get confusing and look like this::[-3+8]--4. So the next step would be the [*].
HOPE THIS HELPS!!!
Answer:
Use PEMDAS
Step-by-step explanation:
Parenthesis, If there are none move on to exponents if there are no exponents move to multiplication. No multiplication? use division. If you dont see division use addition and lastly if there is no addition use subtraction. In the equation, it looks like you have to make the -3 and 8 positive. So, since the -4 is in the parenthesis(P) multiply(M) 4 by 3 and 8 once the three is positive. So your final answer would be either C or D
Its the best i could do but good luck. I tried...
Nancy has a shelf over her bed where she keeps her four stuffed teddy bears. How many ways can she arrange the four bears?
Answer:
16
Step-by-step explanation:
I believe you just multiply 4 by 4 !
the area of a square whose all sides are 3cm is
Step-by-step explanation:
Hey there!
The sides of a square; 3cm.
Area = l^2
[tex]area = {3}^{2} [/tex]
[tex]a = 9[/tex]
Therefore, the area is 9cm^2.
Hope it helps...