Answer:
$14.43¢
Step-by-step explanation:
We are given; [tex]1\frac{2}{5}[/tex] pounds, 1 pound = $4.20 and [tex]2\frac{1}{4}[/tex] pounds,1 pound = $3.80 that Andrea bought.
Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]1\frac{2}{5}[/tex] to a decimal. It is 1.4. Now we can set up a graph.
Avocados
[tex]\frac{4.2}{1}=\frac{x}{1.4}[/tex]
Switch sides
[tex]\frac{x}{1.4}=\frac{4.2}{1}[/tex]
Apply rule: [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{1.4}=4.2[/tex]
Multiply both sides by 1.4
[tex]\frac{1.4x}{1.4}=4.2\cdot \:1.4[/tex]
Simplify
[tex]x=5.88[/tex]
So, her cost for avocados is $5.88¢
Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]2\frac{1}{4}[/tex] to a decimal. It is 2.25. Now we can set up a graph.
Asparagus
[tex]\frac{3.8}{1}=\frac{x}{2.25}[/tex]
Switch sides
[tex]\frac{x}{2.25}=\frac{3.8}{1}[/tex]
Apply rule : [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{2.25}=3.8[/tex]
Multiply both sides by 2.25
[tex]\frac{2.25x}{2.25}=3.8\cdot \:2.25[/tex]
Simplify
[tex]x=8.55[/tex]
So, her cost for asparagus is $8.55¢
Total cost
Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:
$5.88¢ + 8.55¢ =
5.88 + 8.55 = 14.43
Therefore, Andrea's total cost of the fruits is $14.43¢
The area of a triangle is 169 square meters. The base of the triangle is twice the height. Find the base and height.
I would like the answer and how to get it (show work).
Thanks!
Answer:
The base of the triangle has a length of 26 meters, and the height of the triangle has a length of 13 meters.
Step-by-step explanation:
Equation to find the height: [tex]\frac{2x*x}{2} = 169[/tex] ⇒ [tex]x^2=169[/tex] ⇒ [tex]x=13[/tex] meters.
Write 56/1000 as a decimal.
Answer:
0.056
Step-by-step explanation:
Answer:
56/1000 = .056
Step-by-step explanation:
56/100 = .56
56/1000 = .056
56/10000 = .0056
Which graph represents the following piecewise defined function?
Answer:
A on Edge
Step-by-step explanation:
Just took the test and got a 100
The graph that represents the following piecewise defined function is of f(x) = x; x <-2 , -2; -2 < or = to x < or = to 1, x-3; x> or = to 1 is the first graph (Image attached)
What is a piecewise function?A piecewise function is known to be a function that has been formed from pieces of a lot of functions over a lot of intervals.
An example, we can say a piecewise function f(x) where f(x) = -7 when -7 < x ≤ -4, f(x) = 4 when -4 < x ≤ -1, and f(x) = -5 when -1 <x ≤ 7.
The option that best explain the piecewise defined function is the image attached.
Learn more about piecewise defined function from
https://brainly.com/question/26145479
dont just comment for points.
Answer:
that looks good
Step-by-step explanation:
the nth term of a sequence is 6 - n work out the first three terms and the 20th term of the sequence.
please help
Step-by-step explanation:
a_n=6-n
➜a_1=6-1
➜5➜,a_2=6-2
➜4➜a_3=6-3
➜3➜a_20=6-20
➜-14Someone help me please
Answer: I think 10
Step-by-step explanation: cuz area is length x height and basically you just do square root of 100 Bc thags a square so the sides should be equal
What is the area of this composite figure?
4 cm
7.5 cm
15.5 cm
18 cm
135 cm?
O 207 cm?
249 cm?
O 279 cm?
Answer:
249cm or the third option
Step-by-step explanation:
I got it right on the test. Good luck to you!
BRAINLIEST HELP.............
I think the answer should be b, since y=3 when x=0, according to the option B.
y = x + 3, B
There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.
He answered 16 questions correctly, and got 3 wrong answers.
==========================================================
Explanation:
Let
x = number of questions that are correct y = number of wrong answers z = number of questions left blankx,y,z are nonnegative whole numbers.
-------------------
Since there are 20 questions total, this means the first equation to set up is:
x+y+z = 20
Solving for y leads to
x+y+z = 20
y+z = 20-x
y = 20-x-z
We'll use this later.
-------------------
Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.
Let's plug the equation in which we isolated y
7x-4y = 100
7x-4(20-x-z) = 100
7x-80+4x+4z = 100
7x+4x+4z = 100+80
11x+4z = 180
-------------------
Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.
If x = 0, then,
11x+4z = 180
11(0)+4z = 180
4z = 180
z = 180/4
z = 45
So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.
If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation
So another solution is (x,z) = (4,34)
Note that
11x+4y = 180
11(4) + 4(34) = 180
But like before, z = 34 isn't possible since 20 is the max.
Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.
Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.
Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.
Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.
We can see that:
7x-4y = 7(16)-4(3) = 112-12= 100
meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.
-------------------
To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)
Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.
Please help me it’s urgent!
If the height of the parallelogram shown is increased by 1 cm and the base is increased by 2 cm, what is the area of the new parallelogram?
A parallelogram with a base of 9 centimeters and a height of 4 centimeters.
28 cm2
39 cm2
55 cm2
60 cm2
My main problem: The base isn't at the top, so therefore I am confused. It should be on top of the shape but it is not. If it was I could figure it out.
So sorry I messed it up I let you down :(
Answer:
55 cm²
Step-by-step explanation:
In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)
So the top and bottom base are both 9, and the left and right sides are both 5.
So, to solve, we need to use the equation:
(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²
Amari claims that a rectangle is sometimes a parallelogram but a parallelogram is always a
rectangle. Is she correct? Explain if you agree or disagree with her and why.
Answer:
The statement is false.
Step-by-step explanation:
A parallelogram is a figure of four sides, such that opposite sides are parallel
A rectangle is a four-sided figure such that all internal angles are 90°
Here, the statement is:
"A rectangle is sometimes a parallelogram but a parallelogram is always a
rectangle."
Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.
The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.
The correct statement would be:
"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"
please help me i cant get it right
Answer:
-60%
22 - 56
__________ x 100 ~ -60.7
~
56
Round 60.7
-60%
Hope this helps
-Tobie the dog <3
Answer:
61%
Step-by-step explanation:
1) We are changing the percent from 56 down to 22
2) This means that there will be a negative change in percent
3) This is because the new value (22) is smaller than the old value (56)
4) We must find the change from 56 to 22 in a percent
1) Find the difference between 56 and 22 as a number.
The difference between 56 and 22 is 34
2) Divide the result from Step 1 by the starting number 56.
34 ÷ 56 = 0.60714285714
3) Multiply the result from Step 2 by 100 to get it in terms of percent.
0.60714285714 x 100 = 60.71
4) Round the result from step 3 to the nearest percent.
60.71 ≈ 61%
Make sure you round to the nearest whole percent. In this case it would be 61%
Hey guys, hope your day is going well, can you plz help me with is question thank you, i will give 10 pts.
theres not picture so like i cant help u with that
Find the missing value so that the line passing through the 2 points has the given slope.
(-7,-3) and (-1. y); slope: 1
Answer:
3
Step-by-step explanation:
We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,
→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )
The points here are (-7,-3) and (-1,y) . Using formula of the slope , we have ,→ m = -3 - y / -7 - (-1)
→ 1 = -(3+y)/ -7+1
→ 1 = -(3+y) / -6
→ 6 = 3 + y
→ y = 6 - 3
→ y = 3
Hence the value of y is 3 .Two numbers total 70 and have a difference of 12. Find the two numbers.
Answer:
58 and 12
Step-by-step explanation:
CHECK:
58 + 12 = 70
70 - 58 = 12
NOW GO LISTEN TO ALEC BENJAMINS NEW SONG, THE WAY YOU FELT
Answer:
x is 41 and y is 29
Step-by-step explanation:
x plus y is 70 and x minus y is 12
subtract 2 from 1
2y=58
y is 29 and x is
29 plus x is 70 so.....x is41
Which of the following numbers has the most number of significant digits?
A. 1.56
B. 23.07755
C. 500.005
D. 1.005
Answer: B. 23.07755 has 7 significant digits
Step-by-step explanation:
The temperature in Juneau, Alaska at noon was -8 degrees Celsius. By 1 PM, the temperature increased by 10 degrees. Draw a number line to represent the situation and determine the temperature at 1 PM.
Answer:
2 degrees
Step-by-step explanation:
1) The temperature at 12:00 PM was -8 degrees celsius
2) The temperature at 1:00 PM was 10 degrees higher than at 12:00 PM
3) -8 + 10 = 2
4) The temperature at 1:00 PM was 2 degrees celsius
5) Draw a number line with the labels 12:00 PM and 1:00 PM on either end
6) Label above 12:00 PM -8 degrees celsius, and above 1:00 PM 2 degrees celsius
7) Draw an arrow pointing from 12:00 PM towards 1:00 PM to show that the temperature changes between 12:00 PM and 1:00 PM
I hope this helps :D
Answer:the answer is -4f
Step-by-step explanation:
4. The route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet).
Spectators are usually evenly distributed along both sides of the route. Along one
side of 50 feet of the route, you count 15 children. Estimate the number of children
who attended the parade.
PLEASEEE HELP
Answer:
The estimated number of children who attended the parade is 6,336.
Step-by-step explanation:
Since the route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet), and spectators are usually evenly distributed along both sides of the route, and along one side of 50 feet of the route, you count 15 children, to estimate the number of children who attended the parade, the following calculation must be performed:
(10,560 / 50) = 211.2
211.2 x 15 x 2 = X
211.2 x 30 = X
6.336 = X
Therefore, the estimated number of children who attended the parade is 6,336.
11. Which expression is equivalent to
8x - 2y + x + x?
a. 4x
b. 8x
c. 6x - 2y
d. 10x - 2y
Answer:
[tex]10 x - 2y[/tex]
Step-by-step explanation:
[tex]8x−2y+x+x \\ 9x−2y+x \\ 10x−2y[/tex]
Hope it is helpful...What is the volume of this rectangular prism?
2
cm
2
cm
5
cm
5
Answer:
The volume is 8
Step-by-step explanation:
Volume=abc
V=(2/5)(2/5)(2/5)
V=8
May you give me the answer to this please ?
Answer:
using pythagoras theorem
H^2=P^2+B^2
here h=MN ,opposite(P) be 15 and adjacent(B) be 16
(MN)2=15^2+16^2
(MN)^2=225+256
MN=[tex]\sqrt{481}[/tex]
MN=21.93
after rounding off MN=21.9
Step-by-step explanation:
Hellpppppppppp pleaseee
Which expression represents the following calculation? Add 3.2 to the quotient of 8.4 and 6.
m*n= [tex]\sqrt{x} mn-n2, then 5 *3\\[/tex]
Does anyone know the answer?
Answer:
D is the right graph
The sum of Ryann and Lori's ages is 96. Lori's age is
seven times Ryann's age. How old is Ryann?
Answer:
R = 12
L = 84
Step-by-step explanation:
R + L =96
L = 7R
R = 1R
L = 7R
1 R + 7R = 8R
R = 12
L = 84
hope it helps,
which aniaml traveled at a rate of 1.5 meter per minute
Answer:
A turtle.
Step-by-step explanation:
Please help me solve all of this thank you :) have a nice day <3
Answer:
I don't know how you wanted to round it
1)
SA = 8(7) + 12(7) + 10(7) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]
SA = 289.3725
V = [tex]\frac{1}{4}[/tex] (7) [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]
V = 277.80389
2)
SA = 8.1(13) + 8(13) + 8.1(13) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]
SA = 370.94749
V = [tex]\frac{1}{4}[/tex] (13) [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]
V = 366.2587
The coefficient of x in the expansion of
(x+3)(x-1) is