Given:
The expression is
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}[/tex]
To find:
The error in Frankie's work.
Solution:
We need to simplify [tex]2\dfrac{1}{3}-1\dfrac{2}{5}[/tex], so
[tex]2\dfrac{1}{3}=2\dfrac{1}{3}\times \dfrac{5}{5}[/tex]
[tex]2\dfrac{1}{3}=2\dfrac{5}{15}[/tex]
and,
[tex]1\dfrac{2}{5}=-1\dfrac{2}{5}\times \dfrac{3}{3}[/tex]
[tex]1\dfrac{2}{5}=-1\dfrac{6}{15}[/tex]
Now,
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=2\dfrac{5}{15}-1\dfrac{6}{15}[/tex]
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=(2+\dfrac{5}{15})-(1+\dfrac{6}{15})[/tex]
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=2+\dfrac{5}{15}-1-\dfrac{6}{15}[/tex]
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=1-\dfrac{1}{15}[/tex]
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=\dfrac{14}{15}[/tex]
Therefore, there is error in Frankie's last step. In that step, he did not subtract the mixed fraction correctly.
a 25 lb. bag of potatoes was selling for $12.00, The produce manager added a few pounds of potatoes to the bag, but did not change the price. The price of 25 lbs now was actually $10.00. How many pounds did the manager add to the bag?
Answer:
5 pounds was added
Step-by-step explanation:
Need help ASAP! Show work if you can it’s completely fine if not tho
Answer:
the answer is 133
Step-by-step explanation:
we do substitution
2*3^2=18
3^3=27
5(27-4)=115
27+115=133
Amino acids are used to build _______?
Answer:
Polypeptides
Step-by-step explanation:
A sequence of amino acids are joined together by peptide bonds to form a polypeptode chain;
This chain then folds and twists (via intramolecular forces/attractions) into a 2D or 3D shape and may even join with another polypeptide chain to form a protein.
PLEASE HELP! Geometry Question. Im stuck on how to get the answer. Brainiest for correct answer
Answer:
F. [tex] 4, 4\sqrt{3} [/tex]
Step-by-step explanation:
✔️Finding length of side s using:
[tex] cos(\theta) = \frac{adjacent}{hypotenuse} [/tex]
Where,
[tex] cos(\theta) = cos(60) = \frac{1}{2} [/tex]
Adjacent = s
Hypotenuse = 8
Plug in the values
[tex] \frac{1}{2} = \frac{s}{8} [/tex]
Multiply both sides by 8
[tex] \frac{1}{2} \times 8 = \frac{s}{8} \time 8 [/tex]
[tex] \frac{8}{2} = s [/tex]
[tex] 4 = s [/tex]
s = 4
✔️Finding length of side q using:
[tex] sin(\theta) = \frac{opposite}{hypotenuse} [/tex]
Where,
[tex] sin(\theta) = sin(60) = \frac{\sqrt{3}}{2} [/tex]
Opposite = q
Hypotenuse = 8
Plug in the values
[tex] \frac{\sqrt{3}}{2} = \frac{q}{8} [/tex]
Multiply both sides by 8
[tex] \frac{\sqrt{3}}{2} \times 8 = \frac{q}{8} \times 8 [/tex]
[tex] \frac{\sqrt{3}}{1} \times 4 = q [/tex]
[tex] 4\sqrt{3} = q [/tex]
[tex] q = 4\sqrt{3} [/tex]
what is the measure of angle ABD?
Answer:
118
Step-by-step explanation:
7x-4=6x+5
x=9
7(9)-4+6(9)+5
Pls Help me.
+
6
−
−
5
Answer:
yall rly need to start attching pictures
the question is in the picture. please help
Answer:
Step-by-step explanation:
b
What is the equation of the line parallel to the line that passes through the points (-4,2) and (12,6) and contains the point (-4,1)?
Answer:
no
Step-by-step explanation:
An Electronics store has a TV on sale for $299. If the sales tax is 5.1%, what is the total cost of the TV? Round to the nearest cent. Use money notation to enter your answer.
Answer:
$314.25
Step-by-step explanation:
Answer:
$314.25
Step-by-step explanation:
First you would do 299 x 0.051 to get 15.249 dollars.
Then you would add that to your original 299 dollar value to get
314.249, but you have to round it up to get $314.25 :D
Got them.... I think the war is finally over..
Rat soldier: copy that
Rat Soldier: you know a bomb is gonna explode in approximately 5.4 seconds
...
Answer:
LOL THAT CAT POOR CAT
Step-by-step explanation:
nothing to see here
Molly invested $50,000 in various stocks and bonds. She earned 15% on the bonds and 18% on the stocks. Molly's total profit on both types of investments was $8700, how much of the $50,000 did she invest in bonds?
Answer:
$10000
Step-by-step explanation:
Given that:
Molly invested $50,000 in various stocks and bonds.
She earned 15% on bonds and 18% on stocks
Let the bonds be denoted by a
However, her profit on both types of investment is said to be $8700
We are to find how much of the $50,000 did she invest in bonds.
i.e
0.15a + 0.18(50000-a) = 8700
open brackets
0.15a + 9000 - 0.18a = 8700
Collect like terms
0.15a - 0.18a = 8700 - 9000
-0.03a = -300
Divide both sides by(-0.03); we get
a = 10000
Thus, Molly invested $10000 in the bonds.
Solve the inequality 2x−y⩾−5 for y. Which inequality represents the inequality in slope-intercept form?
Answer:
[tex]y\leq 2x+5[/tex]
This represents slope intercept form: y = mx + b
Step-by-step explanation:
[tex]2x - y \geq -5\\2x+5\geq y[/tex]
PLEASE HELP I AM BEING TIMED!!
In the diagram how are angles AED and DEC related? choose all that apply
Options: They are vertical angles
They are supplementary angles
They are adjacent angles
They are right angles
Answer:
they are supplementary
Step-by-step explanation:
The angles AED and DEC are adjacent angles option (C) They are adjacent angles is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
It is given that:
The diagram is shown in the picture.
As we can see in the diagram,
The angle AED and DEC are sharing a common vertex which means they are adjacent angles.
Thus, the angles AED and DEC are adjacent angles option (C) They are adjacent angles is correct.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ2
Bryce grows at a rate five times as fast as Drew which algebraic equation best represent Bryce growth rate
Answer:
B = 5D
Step-by-step explanation:
B stands for Bryce, & D stands for Drew.
Give an ordered pair on the graph and explain it’s meaning in the real world context.
Step-by-step explanation:
See my attached graph for what this problem looks like. I used the equation y=5x because each bargain DVD (x) is $5 and equals the total cost (y).
One ordered pair would be (1,5). This means that 1 bargain DVD costs $5.
I hope this helps!
Accessories Central is having a summer clearance on sunglasses. Maria wants to buy a pair of sunglasses that cost $48 with a 65% discount. The same pair of sunglasses costs $38 with a 55% discount at Shades, Inc. What is the price difference between Accessories Central and Shades, Inc?
Answer:
Step-by-step explanation:
First, find the cost of both pairs of sunglasses after the discounts
65% = 65/100 = 0.65
($48)(0.65) = $31.20
55% = 55/100 = 0.55
($38)(0.55) = $20.90
Then subtract the bigger cost (31.20) from the smaller cost (20.90)
$31.20 - $20.90 = $10.30
$10.30 is your price difference.
A hyena can run one over four of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in miles per hour? (5 points)
one-fourth mile over twenty-two point five seconds = 40 miles per hour
twenty-two point five seconds over one-fourth mile = 40 miles per hour
one-fourth mile over twenty-two point five seconds = 90 miles per hour
twenty-two point five seconds over one-fourth mile = 90 miles per hour
200 miles in total?
unless the stuff you have down there is useless
What is the slope and y-intercept of this graph?
The slope would be 4.
The Y-intercept is 2.
YOU WILL BE BRAINLEST Question 12
Determine if the sequence is arithmetic.
-8,-4, 0, 4, 8, 12......
O True
h
False
Kamal is 17 years older than Gina. Gina is 3 years younger than Rachelle. If the sum of their ages is 77, how old is Gina?
Answer:
Answer : Gina's age is 19 years.
Step-by-step explanation:
Kamal is 17 years older than Gina. Gina is 3 years younger than Rachelle.
Let Gina's age be x years
So Kamal’s age will be = x + 17
Rachelle’s age = x + 3
the sum of their ages is 77, Accordingly
x + x + 17 + x + 3 = 77
3x + 20 = 77
3x = 77 - 20
3x = 57
x = 57/3
x = 19
Thus Gina's age is 19 years,
Kamal’s age x + 17 = 19 + 17 = 36 years
Rachelle’s age x + 3 = 19 + 3 = 22 years
Gina = 19 years old
Can y’all help me??!
Answer:
c=18.50h+20
Step-by-step explanation:
pls help ill mark brainliest I dont have much points
Answer:
yes, they keep increasing by 2.
Answer:
Yes,
Step-by-step explanation:
The pattern does follow the plus 2 ratio.
Question 1 The first who answer it will get a brainliest answer.
Answer:
synthetic fibers are more durable than most natural fibers and will readily pick-up different dyes. In addition, many synthetic fibers offer consumer-friendly functions such as stretching, waterproofing and stain resistance. Sunlight, moisture, and oils from human skin cause all fibers to break down and wear away.
What problems would you encounter if the ladder were too short or too long?
What is the decimal, percent, and fraction?
98/100, 98%, 0.98
That's it.
The midpoint of is point P at (−6,−2). If point E is at (2,−4), what are the coordinates of point F?
(−14,0)
(−10,−8)
(−5,3)
(−2,−3)
Answer:
(-2,3)
Step-by-step explanation:
(-6+2)/2 , (-2+-6)/2
(-2,3)
Answer:
its -2,-3
Step-by-step explanation:
because im smart,
please mark me brainliest
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden. He wants the length of the garden to be 2 1/2 feet longer than the width. How long should he make the garden?
Answer:
Length = 6.25 feet
Step-by-step explanation:
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden.
Let the width is x.
Length is 2 1/2 feet longer than the width i.e. (x+2 1/2) = (x+2.5) feet
Perimeter = 20 feet
2(l+b) = 20
(l+b) = 10
(x+2.5+x) = 10
2x+2.5 = 10
2x = 7.5
x = 3.75 feet
Length = (x+2.5)
= (3.75+2.5)
= 6.25 feet
So, the length of the garden is 6.25 feet.
What is the square root of 243 reduced?
Answer:
9is√3
Step-by-step explanation:
I think I don't really know but that's my answer
WHO EVER ANSWERS WILL GET BRAINLY!!!!
production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $19,593, and the variable costs will be per book. With the other method, the one-time fixed costs will total $63,702, and the variable costs will be $10 per book. For how many books produced will the costs from the two methods be the same?
Answer:
4480
Step-by-step explanation:
I did it
Kiran walked at a constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles) that Kiran walks in t minutes?
Answer: [tex]d=\dfrac{t}{15}[/tex], where d= distance that Kiran walks in t minutes.
Step-by-step explanation:
Given: Kiran walked at a constant speed.
He walked 1 mile in 15 minutes.
The, distance walked by Kiran in 1 minute = [tex]\dfrac1{15}[/tex] mile
The distance that Kiran walks in t minutes = [tex]t\times\dfrac{1}{15}[/tex] miles
If d= distance that Kiran walks in t minutes
The required equation: [tex]d=\dfrac{t}{15}[/tex]