Answer:
A single taco costs $1.31
A single quesadilla costs $2.89
Step-by-step explanation:
Let's suppose that:
T is the price of a single taco.
Q is the price of a single quesadilla.
Thelma ordered 2 tacos and 1 quesadilla, and she paid $5.51, this can be written as:
2*T + 1*Q = $5.51
And we know that Louise ordered 2 quesadillas and 1 taco, and she paid $7.09, this can be written as:
1*T + 2*Q = $7.09
Then we have a system of equations:
2*T + Q = $5.51
T + 2*Q = $7.09
To solve this, we first need to isolate one of the variables, let's isolate T in the second equation:
T = $7.09 - 2*Q
Now we can replace this in the first equation:
2*($7.09 - 2*Q) + Q = $5.51
Now we can solve this for Q.
2*$7.09 - 2*(2*Q) + Q = $5.51
$14.18 - 4*Q + Q = $5.51
$14.18 - 3*Q = $5.51
$14.18 - $5.51 = 3*Q
$8.67 = 3*Q
($8.67)/3 = Q
$2.89 = Q
This means that the price of a single quesadilla is $2.89
Now we can use the equation:
T + 2*Q = $7.09
T + 2*($2.89) = $7.09
T + $5.78 = $7.09
T = $7.09 - $5.78 = $1.31
The price of a single taco is $1.31
someone please help me this is really confusing
Answer:
Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Step-by-step explanation:
Image 1:
We need to Find area of trapezoid.
The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]
where h is height and b₁ and b₂ are parallel sides.
Looking at the figure we get:
h = 2xy
b₁ = 4x²y
b₂ = 7x²y
Putting values and finding area:
[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]
So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Image 2:
We need to find area and perimeter of triangle.
First we will find area of triangle.
The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height
Looking at the figure,
b = 3ab
h = 4a²b
Finding area:
[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]
So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Now, finding Perimeter of triangle
The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]
Looking at figure:
Length of side 1 = 3ab
Length of side 2 = 4a²b
Length of side 3 = 10a²b
Finding Perimeter
[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]
So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
SOMEONE PLEASE ANSWER ASAP!!!!
the formula d=rt relates distance d to rate r and time t. Find how long it takes an airplane to fly 375 miles at 500 miles per hour.
Answer: 0.75 hours which is the same as 45 minutes
===========================================================
Explanation:
d = distancer = rate, which is another term for speedt = timeWe're told that the plane flies 375 miles and the speed is 500 miles per hour (mph).
This must mean that d = 375 and r = 500. Let's find t
d = r*t
d/r = t .... divide both sides by r
t = d/r
t = 375/500
t = 0.75
It takes 0.75 hours, which is the same as 45 minutes because
0.75*60 = 45
If the plane flew 500 miles and its speed was 500 mph, then it would take 1 hour, so it makes sense that the plane's time was under an hour if it only traveled 375 miles.
Does anyone the the answer for this ?:)
Answer:
69.08
Step-by-step explanation:
C=2πr
Brainly plss
A person can bike 48 miles in 2 hours. At this rate how long will it take this person to travel 66 miles? Show work please!!!
Answer:
Convert to a decimal by dividing the numerator by the denominator.
2.75 hours
Instructions: Use fraction models to solve each word problem, and then write each answer as a fraction. question: 5 cakes are shared equally between 6 people. What fraction of a cake does each person receive?
Answer:
Each person will receive 5/6 of a cake
Step-by-step explanation:
Here, we want to get the fraction received by each person
From the question, there are six cakes shared among six people
The fraction of the person involved will get will be the number of cakes divided by the number of people
Mathematically, that will be 5/6
Rewrite in simplest terms: -3(-10d+8)+3d−3(−10d+8)+3d
Sally rides her bike 164.45 miles in two weeks. She averaged 12.65 miles per hour each time she rode. How many hours did it take her to ride 164.45 miles?
Answer: It took 13 hours by her to ride 164.45 miles.
Step-by-step explanation:
Total distance = 164.45 miles
Average distance traveled = 12.65 miles per hour (speed)
[tex]Time = \dfrac{Distance}{Speed}[/tex]
[tex]Time = \dfrac{164.45}{12.65}=\dfrac{16445}{1265}\\\\=13\text{ hours}[/tex]
Hence, it took 13 hours by her to ride 164.45 miles.
Express y = 3x + 10 using function notation.
Answer: f(x) = 3x + 10
Step-by-step explanation: Function notation uses the terms "f(x)." It's the same thing as y.
This is is the correct function notation:
g(x)=3x+10
Hope that helps!!!
Question 4
10 pts
Question 6
Question 7
Question 8
What is the length of line segment DK to the nearest tenth of an inch?
Time Running Hide
1 Hour, 26 Minutes, 25 Sec
16 in
430
D
O 10.9 in
0 21.9 in
O 23.5 in.
O 11.7 in.
« Previous
Next
Answer:
C = 23.5 in
Step-by-step explanation:
θ = 43°
The length of the side opposite to θ = 16 in.
Hypotenuse = DK
Apply trigonometric ratio, thus:
sin(θ) = opp/hyp
Plug in the values
sin 43 = 16/DK
Multiply both sides by DK
DK*sin 43 = 16
Divide both sides by sin 43
DK = 16/sin 43
DK = 23.5 (nearest tenth of an inch)
A manufacturing plant is capable of producing 10 tons of product per day when it runs three shifts with no breakdowns and plenty of raw materials. Over the past week, the plant has produced an average of 7.3 tons per day because the third shift has devoted much of their time to preventive maintenance. What is the utilization of the plant?
Answer: 73%
Step-by-step explanation:
The plant is capable of producing 10 tons of product in one day.
Currently however, it is only able to produce 7.3 tons per day.
Utilization is therefore:
= Actual production/ Potential production * 100
= 7.3/10 * 100
= 73%
The difference of two numbers is 3, and the sum of three times the larger one and twice the smaller one is 19. Find the two numbers.
Answer:
small number = 28/5 or 5 3/5
larger number = 13/5 or 2 3/5
Step-by-step explanation:
x = small number
y = large number
set up a system of equations:
x - y = 3
3y + 2x = 19
using substitution method:
let x = 3 + y
3y + 2(3 + y) = 19
3y + 6 + 2y = 19
5y + 6 = 19
5y = 13
y = 13/5
solve for x:
x - 13/5 = 3
x = 15/5 + 13/5
x = 28/5
For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.
Answer:
Two negatives
Step-by-step explanation:
I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!
55) A shirt that usually costs $30 is on sale for $20. Find the percent of
the discount.
Find the amount of the discount and divide by the original price:
30-20 = 10
10/30 = 0. 333
Multiply by 100 for percent:
0.333 x 100 = 33.3333%
Round the answer as needed.
Answer:
Percentage of Discount :---
[tex] \frac{(30 - 20)}{30} \times 100 = \frac{10}{30} \times 100=\boxed{33.33\%}[/tex]
Which ratio is the same as 2/3?
Answer:
6:15 6 to 15 it's the same o
Find the value of each variable
Step-by-step explanation:
[tex]x = y \\ 2 \sqrt{14} = x \sqrt{2} [/tex]
[tex]x = 2 \sqrt{7} [/tex]
[tex]x = y = 2 \sqrt{7} [/tex]
2x^-2 y^-2 x= 3 and y = –2?
Answer:yes
Step-by-step explanation:
Answer:
1/18.
Step-by-step explanation:
2x^-2 y^-2
x= 3 and y = –2?
Answer is 2(3)^-2 * (-2)^-2
= 2/(3)^2 * 1/(-2)^2
= 2/9 * 1/4
= 2/36
= 1/18.
answer the following table:)
at the neighborhood block party, k'neisha noticed that every 5 minutes, the shadow of a nearby pine tree got six inches longer. at 4:00 pm, the shadow was 12 feet long. How long was the shadow at 5:00 pm
Answer:
18 feet
Step-by-step explanation:
60 mins an hour
5 mins + 6 inches
60/5=12
12*6 = 72
12 feet +72 inches
72 inches = 6 feet
18 feet
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm.
O A. Knowing that 22 + 32 + 42, draw the 2 cm side and the 3 cm side
with a right angle between them. The 4 cm side will fit to form a
right triangle.
B. Knowing that 22 + 42 < 52, draw the 2 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
C. Knowing that 32 +42 = 52, draw the 3 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
D. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
Answer:
Its C i just took the test and got this right!!!
Step-by-step explanation:
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.
5² = 4² + 3²
25 = 16 + 9
25 = 25
The side 3 cm and 4 cm is normal to each other.
Then the correct option is C.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
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If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point
(2,5)
(-5, -2)
(2,-5)
(-2,5)
Answer:
the second one
Step-by-step explanation:
You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for TOTAL DEDUCTIONS for this pay period was $
Blank.
Answer:
18.135
Step-by-step explanation:
30*9.75=292.5
6.2%*292.5=18.135
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
6. (-2, 1) and (0,3) Slope= Equation=
answer both please
Answer:
(-2, 1) and (0, 3) has the slope of m = 1 and the equation is y = x + 3
(0, -2) and (3, -5) has the slope of m = 1 and the equation is y = -x - 2
Step-by-step explanation:
Hope this helps!
How do you calculate pi? answer quick and u will get brainiest
Answer:
Make sure you are using a perfect circle.
Measure the circumference of a circle as accurately as you can.
Measure the diameter of the circle.
Use the formula.
For more accurate results, repeat this process with several different circles, and then average the results.
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
You calculate anything times 3.14
What is the minimum value of the function g (2) = x2 - 6x – 12?
-21
3+ V21
3
3-21
Answer:
g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12?
Step-by-step explanation:
Answer:
minimum value is -21; ordered pair of min value is (3, -21)
Step-by-step explanation:
graph the function and find the lowest point on the curve
write the ratio
14:56
in it's simplest form
Some one please help me !!!
Answer:
= 1 : 4
Step-by-step explanation:
14 : 56 in it's simplest form
= 14 / 56
= 1/4
= 1 : 4
14 : 56 = 1 : 4
Therefore, 14 : 56 in it's simplest form is 1 : 4
Help asap ...................
Answer:
One: Median = 2
Two: Mean = 3.25
Step-by-step explanation:
One
Put the dots in order
1 1 1 2 2 3 3
There are seven groups altogether.
The middle one is a 2.
The median is 2.
Two
The mean is the average.
The average of the 4 groups is
1 3 6 3 = 13
The average is the sum of the dots.
13/4 = 3.25
Pls help and show workings due asap
Step-by-step explanation:
l^2=15^2+6^2
l^2=225+36
l^2=261
l=√261
The ratio of almond pieces to
cranberry pieces in a salad is 3 to 4.
If there is a total of 28 pieces in
salad, how many are almond pieces
and how many are cranberry
pieces?
37 dimes, 23 quarters.
Answer: 12 almond pieces and 16 cranberry pieces
Step-by-step explanation:
What is the measure of an exterior angle of a regular 13-gon?
Step-by-step explanation:
Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.
Hence we have 360°/13 = 27.7° (1d.p.)
The measure of an exterior angle of a regular 13-gon is 27.69°.
What is a regular 13-gon?A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.
The given polygon is a regular 13-gon.
Therefore, all the exterior angles of this polygon are equal.
We know, each exterior angle of a regular polygon with 'n' sides is
= (360 / n)°
Here, n = 13.
Therefore, the value of each exterior angle
= (360 / 13)°
= 27.69°
Learn more about a polygon here:
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