Answer:
n=3
Step-by-step explanation:
12n-3n=30-3
9n=27
n=27/9
n=3
2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large
cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each
type did she sell?
Answer:
[tex]\boxed {\boxed {\sf 98 \ Small \ Cups}}\\\\\boxed {\boxed {\sf 57 \ Large \ Cups}}[/tex]
Step-by-step explanation:
Let's make a system of equations.
First, define the variables.
Let s= small cups and g= large cups
Next, make 2 equations. 1 for the money and 1 for the number of cups.
Money
A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265. 1.25s+2.50g=265Number
A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155. s+g=155Here is our system of equations:
[tex]1.25s+2.50g=265 \\s+g=155[/tex]
Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.
Subtract g from both sides of the equation. s+g=155 s+g-g=155-gs=155-gNow we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.
[tex]1.25s +2.50g=265[/tex]
[tex]1.25(155-g)+2.50g=265[/tex]
Distribute the 1.25
1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g[tex]193.75-1.25g+2.50g=265[/tex]
Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.
[tex]193.75-1.25g+2.50g=265-193.75[/tex] (Subtract 193.75)
[tex]-1.25g+2.50g=265-193.75[/tex]
[tex]1.25g=71.25[/tex] (Combine like terms).
1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25
[tex]1.25g/1.25=71.25/1.25\\g=71.25/1.25\\g=57[/tex]
Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.
[tex]s+g=155[/tex]
[tex]s+57=155[/tex]
Subtract 57 from both sides of the equation to isolate the variable, s.
[tex]s+57-57=155-57\\s=155-57\\s=98[/tex]
Ashley sold 57 large cups and 98 small cups.
small cup she sold = x = 98
large cup she sold = y =57
Help me please!!!!!!!
Answer:
yes
Step-by-step explanation:
that symbol means <= which means x is less than OR equal to 5/2
What is the discriminate?
They will rest after they hike `2` miles. Then they will hike the remaining `1.75` miles to the lookout. The trail the hikers will use to return from the lookout is `0.5` miles shorter than the trail they will use to go to the lookout. Each hiker will bring `0.25` gallons of water for each mile to and from the lookout. What is the total amount of water each hiker will need to carry?
Answer:
1.75 gallons
Step-by-step explanation:
First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...
2 + 1.75 = 3.75 miles
The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...
3.75 - 0.5 = 3.25 miles
Leaving us with a total hiking distance of
3.75 + 3.25 = 7 miles.
Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.
7 * 0.25 = 1.75 gallons
Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was x dollars?
Answer:
The value of the car will be x - (0.15)x after a year.
Step-by-step explanation:
The car was 15% more when it first came out, and the price went down by 15% after a year.
Therefore, to solve this problem, we need to multiply 0.15 by the initial cost, which will tell you how much the car price decreased.
Then, we need to subtract this amount from x, or the initial cost, in order to find how much the car will be worth after a year.
Therefore, the value of the car will be x - (0.15)x after a year.
Hope this helps! :D
factor -1/6 out of -1/3x + 5/6y
Answer:
[tex]\frac{-1}{6}[/tex] [tex](2x-5y)[/tex]
Step-by-step explanation:
Yyhhjfffghjjgdrttyhhhftthvfrtgvfffgf
Answer: So the star equals 4 and the triangle equals 1
Step-by-step explanation:
What is the value of 7 in 46.897
Answer:
If your asking its place value its Thousandths
Step-by-step explanation:
.1 is tenths
.01 is hundredths
.001 is thousandths
Solve each system to find the answer
Given:
The system of equations is
[tex]5g+4k=10[/tex]
[tex]-3g-5k=7[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]5g+4k=10[/tex] ...(i)
[tex]-3g-5k=7[/tex] ..(ii)
Multiply (i) by 5 and (ii) by 4.
[tex]25g+20k=50[/tex] ...(iii)
[tex]-12g-20k=28[/tex] ..(iv)
Adding (iii) and (iv), we get
[tex]25g-12g=50+28[/tex]
[tex]13g=78[/tex]
Divide both sides by 13.
[tex]g=\dfrac{78}{13}[/tex]
[tex]g=6[/tex]
Put g=6 in (i).
[tex]5(6)+4k=10[/tex]
[tex]30+4k=10[/tex]
[tex]4k=10-30[/tex]
[tex]4k=-20[/tex]
Divide both sides by 4.
[tex]k=-5[/tex]
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
I need quick help pls!!!
Answer:
It's the second one. 2/3 and 2/6
Which statement best explains why the Tenth Amendment reserves some rights and powers to the states? The framers believed in the principle of federalism. The framers wanted the states to be more powerful than the national government. The framers wanted to limit citizens' rights. The framers wanted to control civil liberties.
Answer:
The farmers believed in the principal of federalism
Step-by-step explanation:
edge 2020
The tenth amendment reserved some powers to the states because the The framers believed in the principle of federalism.
The concept of federalism is a political term that describes the power of states or provinces to share power with the national government or the central government.
The 10th amendment agrees to federalism by providing that all powers that were not given to the federal government by the constitution, belongs to the states or the people.
Read more on https://brainly.com/question/12623993?referrer=searchResults
Based on the scatter plot below, what is the most likely value for "Pounds of Apples" when "Number of Apples" is 80?
A. 42
B. 81
C. 158
D. 398
Help me quickly please!!!
Answer:
c hope this help
Step-by-step explanation:
Answer:
It’s A. 42
Step-by-step explanation:
Use the sine rule to calculate BC :)
Answer:
BC≈12.2
Step-by-step explanation:
As we know
24/sin(100°)=BC/sin(30°)
BC=sin(30°)×24/sin(100°)
BC=1/2×24/sin(100°)
BC=12/sin(100°)
BC=12.2 (approximately)
Answer:
BC≈12.2
Step-by-step explanation:
Hope this helped have an amazing day!
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.
Answer:
There needs to be 300 liters of Drink A and 270 liters of Drink B
Step-by-step explanation:
Let a = the amount of Drink A and b = the amount of Drink B
Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:
0.2a + 0.15b = 100.5
We know what the difference between a and b will be 30 liters so:
a - b = 30
Now we have our system of equations
To cancel out a, we can multiply the first equation by -5 so we will now have:
-a - 0.75b = -502.5
a - b = 30
Adding these two equations together, we get:
-1.75b = -472.5
Both sides are negative, so we can take the negative signs away.
1.75b = 472.5
Now divide both sides by 1.75
b = 270
Plugging 270 into b, we have:
a - b = 30
a - 270 = 30
Add 270 to both sides
a = 300
There needs to be 300 liters of Drink A and 270 liters of Drink B
The system of linear equations which could be used to find the amount in litres of drinks A and B are :
(0.2a + 0.15b) = 100.5a - b = 30Let :
Amount of drink A = a
Amount of drink B = b
Percentage of real fruit juice for drink A = 20%
Percentage of real fruit juice for drink B = 15%
Total litres made = 100.5
(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres
(0.2a + 0.15b) = 100.5 - - - - - (1)The difference between the amount of drink A and B made :
Drink A is 30 liters more than B :
a - b = 30 - - - - - (2)The system of equations required to determine the amount of drink A and B made are :
(0.2a + 0.15b) = 100.5a - b = 30Learn more : https://brainly.com/question/20379472?referrer=searchResults
find the equation of the line . PLEASE HELP
can Consider the expresion 6348 how you use distruptive propert and the Gcf to find the equielovent expression? Explain how you can Check your answers
Answer:
63+48= 3(21+16)
Step-by-step explanation:
Check answer:
Distribute 3(21+16)
3(21)+3(16)
63+48
5. The price of a new gym bag is $37.00 plus 8% sales tax. What is the sales tax on this gym
bag in dollars and cents?
Answer:
$25.00 which is $24.50
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): Dot was discarded near "x.s".
(2): "37." was replaced by "(37/1)".
Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression
1. Dominic earned $23.00 at the local
supermarket moving boxes for 2 hours. If
his pay rate stays the same, how much
would he earn in 6.5 hours?
Answer:
70.5
Step-by-step explanation:
Did i do it correctly? if no please give the explanation and answer! :):):)
Answer:
yeah man good job im proud
Step-by-step explanation:
Answer:
You did a very good jod
Step-by-step explanation:
Hope this helped have an amazing day!
brainliest if correct1+1
Answer:
11
Step-by-step explanation:
:>
Answer:
1+1=2 is the answer
Step-by-step explanation:
mark me as brainlist
PLS I NEED HELP ASAP
Answer:
Answer C
.....,.................
11.sınıf temel düzey matematik geometri :(
Step-by-step explanation:
öklid kurali var uygularsak:
(3 kök 5 ) ^(2)=X.(X+4)45= X(X+4) buradan X = 5 Cevap B seçeneği BAŞARILAR...The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s
(
m
/
s
)
.
When
s
=
30
,
P
=
1500
.
Work out the speed (to 1 DP) when the power is
1715
watts
Answer:
scooby-dooby-doooby-dooooby-doooooby-D000000000000000000000000000000Step-by-step explanation:
Please help! 20 points and I’ll give Brainliest
Joe is tracking the progress of his plants growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.
A. Write a linear model (equation) that represents the height of the plant after d days
B. What will the height of the plant be after 20 days
Answer:
A. y=1.5d+5
B. 35 cm high
Step-by-step explanation:
hope this helps
Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?
Answer: (h)q^3
Step-by-step explanation:
Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x – 50 models Ryan's additional income. What is the expression that models the new average profit, including the bands? Note: To obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.
Answer:
Average (additional) income = 100 - 50/x
Step-by-step explanation:
Ryan's additional income = 100x - 50 , where x = quantity of colored watch bands
Ryan's additional average income = Income / Quantity of watches sold
(100x - 50) / x
= 100 - 50/x
2. Re-write the equation in slope-intercept form
y + 4 = -2(x + 3)
Matt gets $0.10 every 2 days
How much does he get in 6 days?
Answer:
$0.30
Step-by-step explanation:
2 days = $0.10
6 days = [tex]\frac{6}{2}[/tex] × $0.10
= $0.30
It is 49,280 yards from Topeka to Tonko. How many miles
is this?
Answer:
Step-by-step explanation:
1 yard = 0.000568 miles
49280 yards = 28 miles
1 mile = 1,760 yards
Divide total feet by 1760
49,280 / 1760 = 28 miles.
what is 90% of 130?
Answer:
117
Step-by-step explanation:
(0.9)(130)
=117
Answer:
117
Step-by-step explanation:
Step 1:
[tex]\frac{x}{130} = \frac{90}{100}[/tex] Equation
Step 2:
100x = 11700 Multiply
Step 3:
x = 11700 ÷ 100 Divide
Answer:
117
Hope This Helps :)