Answer:
The cost of 1 taco is $1.31 and 1 quesadilla is $2.89
Step-by-step explanation:
Let [tex]x[/tex] be the cost of 1 tacos and [tex]y[/tex] be the cost of 1 quesadilla
Thelma's order
[tex]2x+1y=5.51\quad\ldots(i)[/tex]
Louise's order
[tex]1x+2y=7.09\quad\ldots(ii)[/tex]
Performing the operation [tex]2\times (i)-(ii)[/tex] we get
[tex]4x+2y=11.2[/tex]
[tex]x+2y=7.09[/tex]
[tex]3x=3.93\\\Rightarrow x=\dfrac{3.93}{3}\\\Rightarrow x=1.31[/tex]
[tex]2x+y=5.51\\\Rightarrow 2\times 1.31+y=5.51\\\Rightarrow y=5.51-(2\times 1.31)\\\Rightarrow y=2.89[/tex]
The required answer is
The cost of 1 taco is $1.31 and 1 quesadilla is $2.89.
Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?
Answer: A≈47791.31
Step-by-step explanation:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
25000
r
=
0.036
t
=
18
n
=
365
P=25000r=0.036t=18n=365
Given values
A
=
25000
(
1
+
0.036
365
)
365
(
18
)
A=25000(1+
365
0.036
)
365(18)
Plug in values
A
=
25000
(
1.0000986301
)
6570
A=25000(1.0000986301)
6570
Simplify
A
=
47791.3122461
A=47791.3122461
Use calculator
A
≈
47791.31
A≈47791.31
The amount after 18 years will be $47,791
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily.
A = P(1+r/365)^n*365
A = 25000(1+0.00009863)^6570
A = 25000(1.00009863)^6570
A = 47,791
Hence, The amount after 18 years will be $47,791
For more references on compound interest, click;
https://brainly.com/question/14295570
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please help! algebra 2
It costs each barber at Denny Moe's Superstar Barbershop $125.50 to use one chair for the entire day. The average barber at Denny Moe's Superstar Barbershop earns an income of $345.25. What is the profit for the average barber at Denny Moe's Superstar Barbershop?
$219.75
$220.25
$460.75
$470.75
Answer:
A-219.75
Step-by-step explanation:
Answer:
$219.75
Step-by-step explanation:
The profit is the difference between the income and costs, which in this example would be $345.25 - $125.50 = $219.75
Gio wants to serve salad at the party. He will need one head of lettuce for every 6 guests who attend. Write an algebraic expression Gio could use to determine how much lettuce he needs. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests
Answer:
a. y = x/6 b. 3 heads of lettuce
Step-by-step explanation:
a. Write an algebraic expression Gio could use to determine how much lettuce he needs
Since Gio needs one head of lettuce for every 6 guests who attend, then, the number of lettuce y needed for x guests is one head of lettuce/6 guests × x guests is y = 1/6 × x
= x/6
b. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests
Since 18 guest come to the party, x = 6. So, y = x/6
= 18/6
= 3 heads of lettuce.
Part A: What is the ratio of the number of students receiving a C and the number of students receiving an A? * 1:4 6:1 4:1 3:1 Part B: Complete the statement: For every student receiving a D, ______ students received a B. * Part C: What is the ratio of the number of students receiving a C and the number of students receiving an D? 1:4 6:1 4:1 3:1
Answer:
a. 4 : 1
b. 2 students
c. 3 : 1
Step-by-step explanation:
a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:
12 : 3
Take it to the lowest form by dividing both sides by 3:
= 4 : 1
b. There were 4 students with a D grade and 8 with a B. The ratio is:
= 4 : 8
Taken to the lowest form that would be:
= 1 : 2
This means that for every student receiving a D, 2 students received an A.
c. 12 students received a C and 4 students received a D. That ratio is therefore:
= 12 : 4
Take to the lowest form by dividing both sides by 4:
= 3 : 1
2x^5-4x^3+6x^8
is this a trinomial with a coefficient of 2 or 6?
Answer:
6
Step-by-step explanation:
Coefficient: A number before the variable such as 4 in 4x.
When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:
2x^5 and 6x^8
^8 is bigger than ^5, so that's the leading coefficient.
sum of two rational numbers is - 8 is 3 by 4 find others
Answer:
Step-by-step explanation:
ans is -35/4.
The expression -320+15y represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute. What was the depth of the submarine after 15 minutes?
Step-by-step explanation:
Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :
-320+15y
We need to find the depth of submarine after 15 minutes.
Put y = 15 in the above expression.
-320+15y = -320+15(15)
= -320 + 225
= -95
Hence, the submarine is below sea level at 95 feet.
multiply choice question! which one?
Step-by-step explanation:
the option that you've chose.
it's the correct answer!
have a good day :)
Answer:
The answer is D. number 4.
How do you do this?
Answer:
132 degrees
Step-by-step explanation:
its asking for angle r, right? the degrees they give you is across from the needed angle. in class alone that would give you the answer, but since a line is 180 degrees, 180 minus 132 is 48 degrees, 48 plus a unknown angle(r) is 180. hence 132
Your friend claims that a triangle with side lengths of a, b, and c will have half the area of a triangle with side lengths of 2a, 2b, and 2c. Is your friend correct?
Answer:
My friend is wrong since, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c
Step-by-step explanation:
Using herons formula, the area of the first triangle with sides a, b, c is A = √[s(s -a)(s - b)(s -c)] where s = (a + b + c)/2.
So, A = √[(a + b + c)/2((a + b + c)/2 - a)((a + b + c)/2 - b)((a + b + c)/2 - c)]
= √[(a + b + c)/2((b + c - a)/2)((a - b + c)/2)((a + b - c)/2)]
= 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].
For the triangle with sides 2a, 2b, 2c, the area is A' = √[s'(s' - 2a)(s' - 2b)(s' -c)] where s' = (2a + 2b + 2c)/2 = a + b + c.
So, A' = √[(a + b + c)((a + b + c) - 2a)((a + b + c) - 2b)((a + b + c) - 2c)]
= √[(a + b + c)((b + c - a)(a - b + c)(a + b - c)]
= √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].
Since A = 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)]. and A' = √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)] ⇒ A = A'/4
So, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c. So, my friend is wrong.
Help me please. Will give brainliest
Answer:
The answer is B. they're using the slope equation to figure out the slope. none of the other equations are set up correctly, so B is the correct answer.
Step-by-step explanation:
i hope this helps :))
(SOMEONE HELP ASAPP )In triangle QRS below, 2Q = 53.13º and ZR = 36.87°
Which of the following are true?
Can you please show the triangle?
The sides of a triangle in cm, are , x , 2x – 5 and 2x – 3 . The perimeter of the triangle is 32 cm . i) Write down an equation for x
9514 1404 393
Answer:
32 = (x) +(2x -5) +(2x -3)
Step-by-step explanation:
The perimeter is the sum of the side lengths:
P = a + b + c
32 = (x) +(2x -5) +(2x -3)
__
This can be simplified to ...
32 = 5x -8
and solved to find x:
x = (32 +8)/5 = 8
BRAINLIEST! URGENT! Please help, if you explain how you got the answer, I WILL GIVE BRAINLIEST.
You have been working with irregular figures. How is estimating area on a grid different from estimating perimeter on a grid? how do you explain?
Answer:
When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape.
Step-by-step explanation:
your welcome
Answer:
When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape.
Step-by-step explanation:
Credit to the guy above.
write this rate as a unit rate 1/7 1/14
Answer:
1/7in=1/14min
14/7in=min
2in=min
the rate is 2 inches per minute.
Step-by-step explanation:
Answer:
The answer is 2.
Step-by-step explanation:
First you have to change 1/7 divided by 1/14 like this: 1/7 times 14/1.
Second solve the equation, 1/7 x 14/1 = 14/7 = 2.
Thank you for reading this, I hope this was helpful.
A triangle has a base of two to the third power units and a height of chicken fourth power units what is the area of the triangle
Your family is looking for a new car! They want to purchase the car that has the best miles/gallon in the city. Below are the advertisements for 4 pre-owned 2013-2014 cars. Please help me someone
Answer:
Although no list of cars was given, you find the top five that I can recommend
Step-by-step explanation:
Kindly note that no sufficient data/information was provided, however, as a way forward to answer this question you can look up the list of five cars with great miles per gallons
1. Honda Civic
Engine Type: Gas, Hybrid
MPG: Up to 35 MPG mixed city/highway for gasoline, 40-50% higher in
hybrid engine
Body Styles: Coupe, Sedan, Hatchback
2. Hyundai Elantra
Engine Type: Gas, Hybrid
MPG: Up to 36 MPG mixed city/highway
Body Styles: Sedan
3. Nissan Altima
Engine Type: Gas
MPG: Up to 34 MPG mixed city/highway
Body Styles: Sedan
4. Toyota Corolla
Engine Type: Gas
MPG: Up to 34 MPG mixed city/highway
Body Styles: Sedan
5. Honda Accord
Engine Type: Gas, Hybrid
MPG: Up to 31 MPG mixed city/highway for gasoline, up to 48 MPG for
hybrid
Body Styles: Sedan, Coupe
Help pls!! What is the perimeter of triangle FBD?
Answer:
46
Step-by-step explanation:
AC = 2FD
CE = 2BF
AE = 2BD
2FD + 2BF + 2BD = 2(FD + BF + BD) = AC + CE + AE
2[tex]P_{FBD}[/tex] = [tex]P_{ACE}[/tex] ⇒ [tex]P_{FBD}[/tex] = [tex]\frac{1}{2}[/tex] [tex]P_{ACE}[/tex]
[tex]P_{FBD}[/tex] = 92 ÷ 2 = 46 units
A store manager and stroke some new trainees that a book is priced at $21 winds up costing a customer $20.63 what does the tax is included which is the sale tax percentage
Answer:
1.76%
Step-by-step explanation:
Given
Original price of the book = $21
Price after sales percentage = $20.63
Discount = 21-20.63
Discount = $0.37
sale tax percentage = discount/original price × 100%
sale tax percentage = 0.37/21 × 100
sale tax percentage = 37/21
sale tax percentage = 1.76%
Hence the sale tax percentage is 1.76%
Help with this plz bc I don’t want to get I trouble by my teacher
Answer:
c
Step-by-step explanation:
Answer:
The answer is C. She saves $150 every month
Step-by-step explanation:
Write the equation of the line that passes through the points (-9,-6) and (−8,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
plz help ill give brainliest if correct
Answer: The slope is 7
m =7
y + 6 = 7 ⋅ ( x + 9 )
Step-by-step explanation:
PLEASE HELP LIKE QUICK PLEASE PLEASE ( you'll get 50 points!!! )
A company has two manufacturing plants with daily production levels of 5x+14 items and 3x−5 items, respectively. The first plant produces how many more items daily than the second plant?
Answer:
[A]first manufacturing plant produce =5x+14 items
se
[B]second manufacturing plant produce=3x-5
now
difference=A-B=5x+14-{3x-5}=5x+14-3x+5=2x+19
The first plant produces 2x+19 more items daily than the second plant.
Which expression is equal to (x – 3)(2x^2 – x + 3)?
O 2x3 + 5x2 + 6x - 9
o 2x3 – 7x2 – 9
o 2x3 – 7x2 + 6x – 9
o 2x3 + 5x2 - 9
Answer:
C. 2x^3 - 7x^2 + 6x - 9
Step-by-step explanation:
Hope this helps!
Answer:
c
Step-by-step explanation:
This shape is a kite.
Calculate the value of a.
I will give the brainliest to the correct answer!
Answer:
a = 72
Step-by-step explanation:
the sum of a four-sided polygon's angles equal 360°
so you can add all four angles together and set them equal to 360
a + a + a + 2a = 360
5a + 360
a = 360/5
a = 72
There are four angles in a kite.
The value of a to make the shape a kite is [tex]72^o[/tex].
The sum of angles in a kite is [tex]360^o[/tex]
So, we have:
[tex]a + a + a + 2a = 360^o[/tex]
Add like terms
[tex]5a = 360^o[/tex]
Divide both sides by 5
[tex]a = 72^o[/tex]
Hence, the value of a is [tex]72^o[/tex]
Read more about kites at:
https://brainly.com/question/4350272
50 points and will mark brainlist
READ ABOVE
true
or
False
or
Not enough information
Answer:
that is true
Step-by-step explanation:
i think it's help
Step-by-step explanation:
The advertising are telling the truth value of this questions
Thomas is drawing a map of his city's walking trails. On the map, 5 cm is equal to 2 miles. If a trail is 22.5 cm on the map, how long is the trail in real-life?
Answer:
9 miles
Step-by-step explanation:
Given that :
Given that:
On map:
5cm = 2 miles
If a map trail = 22.5cm
Length of trail in real life :
(22.5 cm / 5cm) * 2miles
4.5 * 2 miles = 9 miles
The trail is 9 miles in real life
Which proportion would you use to solve this problem?
Nine Is 4% of what number?
40
100
х
O
X
9 100
o
х
100
4
100
Answer:
its c
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
hope this helps!
The radius of a right circular cylinder is increasing at the rate of 7 in./s, while the height is decreasing at the rate of 3 in./s. At what rate is the volume of the cylinder changing when the radius is 17 in. And the height is 5 in.?
Answer:
1014.73 in³/s
Step-by-step explanation:
We know the volume of a cylinder, V = πr²h where r = radius of cylinder and h = height of cylinder.
Now, to find the rate of change of volume, we differentiate it with respect to time. So
dV/dt = d(πr²h)/dt
= πhdr²/dr × dr/dt + πr²dh/dh × dh/dt
= 2πrh × dr/dt + πr² × dh/dt
when r = 17 in, dr/dt = rate of change of radius = + 7 in/s, h = 5 in and dh/dt = rate of change of height = - 3in/s (negative since it is decreasing).
So, dV/dt = 2πrh × dr/dt + πr² × dh/dt
= 2π × 17 in × 5 in × (+ 7 in/s) + π(17 in)² × (- 3 in/s)
= 1190π - 867π
= 323π in³/s
= 1014.73 in³/s