Answer:
1,250,000
Step-by-step explanation:
875,000 sandals account for 70% of the total pairs sold.
875,000/7 = 125,000
125,000 accounts for 10%.
125,000 * 10 = 1,250,000.
1,250,000 accounts for 100%.
The company sells pairs of shoes in June is 612,500
In Emily's calculation the error she makes in the second last steps she forgets to write the term 70.
Given that,
Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.
We have to determine,
How many shoes did the company sell in June? Analyze Emily's calculations. What error did she make?
According to the question,
Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.
Then,
The shoes did the company sell in June is,
[tex]= \dfrac{70} {100}\times 875,000\\\\=8750 \times 70 \\\\= 612,500[/tex]
Hence, The company's sells pair of shoes in June is 612,500.
For more details refer to the link given below.
https://brainly.com/question/9351049
I have two bags of marbles, each of which contains some red marbles and some blue marbles (and no marbles of any other color). The ratio of red marbles to blue marbles in the first bag is $3:5.$ The ratio of red marbles to blue marbles in the second bag is $3:2.$ When the two bags of marbles are mixed together, the ratio of red marbles to blue marbles is $11:9.$ What is the ratio of the number of marbles in the first bag to the number of marbles in the second bag?
========================================================
Explanation:
Let x and y be two positive whole numbers. They may or may not be equal.
The first bag has the ratio of red to blue as 3:5, which scales up to 3x:5x after multiplying both parts by x. We have 3x red and 5x blue.
The second bag has the ratio 3:2 which scales up to 3y:2y. This bag has 3y red and 2y blue.
We can make a handy table to keep track of all the expressions
[tex]\begin{array}{|c|c|c|}\cline{1-3}\text{ } & \text{Red} & \text{Blue}\\ \cline{1-3}\text{bag 1} & 3x & 5x\\ \cline{1-3}\text{bag 2} & 3y & 2y\\ \cline{1-3}\end{array}[/tex]
Based on that, we can then say:
The two red quantities add to R = 3x+3yThe two blue quantities add to B = 5x+2yEffectively, I added down along each column of that table.
Divide the two expressions for R and B to lead to the fraction 11/9, which is directly from the ratio 11:9
So,
(total red)/(total blue) = 11/9
R/B = 11/9
(3x+3y)/(5x+2y) = 11/9
---------------------
Let's cross multiply and then solve for y
(3x+3y)/(5x+2y) = 11/9
9(3x+3y) = 11(5x+2y)
27x+27y = 55x+22y
27y-22y = 55x-27x
5y = 28x
y = 28x/5
y = (28/5)x
y = 5.6x
We'll keep this in mind for later.
---------------------
Now let:
F = amount of marbles in the first bagS = amount of marbles in the second bagRecall that we had 3x red and 5x blue for the first bag. That means we have 3x+5x = 8x marbles in the first bag. Therefore, F = 8x.
Also, we had 3y red and 2y blue for the second bag.
So we have S = 3y+2y = 5y
Then we can apply further substitution to say
S = 5y
S = 5(5.6x) .... plug in y = 5.6x
S = 28x
---------------------
In short,
F = 8xS = 28xfor some positive whole number x. We don't have enough info to pin down what x is exactly; however, it doesn't really matter. This is because the x variable will cancel when dividing F over S
F/S = (8x)/(28x) = 8/28 = 2/7
The fraction 2/7 leads directly to the final answer of the ratio 2:7
In other words, the ratio 8x:28x simplifies fully to 2:7 after dividing both parts by 4x.
The ratio between the total marbles of the first bag and the second bag is 2:7.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x marbles in the first bag.
red marbles = 3x
blue marbles = 5x
y marbles in the second bag.
red marbles = 3y
blue marbles = 2y
Now,
Total red marbles in both bags.
3x + 3y = 11 _____(1)
3x = 11 - 3y
x = (11 - 3y) / 3
Total blue marbles in both bags.
5x + 2y = 9 ______(2)
From (1) and (2) we get,
Multiply 2 in (1).
6x + 6y = 22
6y = 22 - 6x _____(3)
Multiply 3 in (2)
15x + 6y = 27 ______(4)
Putting (3) in (4)
15x + 22 - 6x = 27
9x = 27 - 22
9x = 5
x = 5/9
Now,
x = 5/9 in (3)
6y = 22 - 6(5/9)
6y = 22 - 10/3
6y = (66 - 10)/3
y = 56/18
y = 28/9
Now,
First bag.
Red marbles = 3x = 3 x 5/9 = 5/3
Blue marbles = 5x = 5 x 5/9 = 25/9
Total marbles = 5/3 + 25/9 = (15 + 25)/9 = 40/9
Second bag.
Red marbles = 3y = 3 x 28/9 = 28/3
Blue marbles = 2y = 2 x 28/9 = 56/9
Total marbles = 28/3 + 56/9 = (84 + 56)/9 = 140/9
Now,
The ratio between the total marbles of the first bag and the second bag.
= 40 :140
= 4:14
= 2:7
Thus,
The ratio is 2:7.
Learn more about equations here:
https://brainly.com/question/17194269
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Rewrite this equation below into Slope-intercept form
y-10=2/3(x-3)
Answer:
y= 2/3x+8
Step-by-step explanation:
you add 10 to both sides then combine -2 with 10 to get 8
then 1x times 2/3 is 2/3x and -3 times 2/3 is -2
Swapna is 26 years older than her daughter Suma. 6 years later, Swapna will be thrice as old as Suma. Find their present ages.
Ages of swapna and suma are 33 and 7 years old respectively
Let the present age of Swapna be xLet the age of Suma be yIf Swapna is 26 years older than her daughter Suma, then;
x = y + 26 ............... 1
6 years later:
Age of Swapna = x + 6
Age of Suna = y + 6
If Swapna will be thrice as old as Suma, then;
x + 6 = 3(y + 6) ................. 2
Substitute equation 1 into 2:
y + 26 + 6 = 3y + 18
y + 32 = 3y + 18
-2y = -14
y = 7
Since x = y + 26
x = 26 + 7
x = 33
Hence ages of swapna and suma are 33 and 7 years old respectively
Learn more on equation here: https://brainly.com/question/2972832
find the distance between find the distance between following points: a) M(5,4) and N(2, 3)
Answer:
sqrt(10)
Step-by-step explanation:
[tex] \sqrt[2]{ x_{2} - x_{1}) + ( y_{2} - y_{1})} [/tex]
?????????????????????
Step-by-step explanation:
Distributive property
X-Y=9 and 2X+5Y=4 solve by substitution
Answer:
(7,-2)
Step-by-step explanation:
Answer:
(7, - 2 )
Step-by-step explanation:
x - y = 9 ( add y to both sides )
x = y + 9 → (1)
2x + 5y = 4 → (2)
Substitute x = y + 9 into (2)
2(y + 9) + 5y = 4 ← distribute parenthesis and simplify left side
2y + 18 + 5y = 4
7y + 18 = 4 ( subtract 18 from both sides )
7y = - 14 ( divide both sides by 7 )
y = - 2
Substitute y = - 2 into (1)
x = - 2 + 9 = 7
solution is (7, - 2 )
Does the data for Amit’s puppy show a function? Why or why not?
Answer:
no its not a function
Step-by-step explanation:
because the lines on the graph are not equal\in a straight line(the puppy is not gaining the same amount each week)
2/3x=21 for x
the 2/3 is supposed to be a fraction
I'm bad with fractions and I need help x)
Answer:
x = 14
Step-by-step explanation:
21 ÷[tex]\frac{2}{3}[/tex] = 14
Answer:
x = 31 1/2
Step-by-step explanation:
- Isolate x by multiplying 2/3 on each side, cancelling out the one of its original placement
- You can't divide by a fraction, so KCF (Keep Change Flip):
x = 21 * 3/2
= 63/2 or 31 1/2
309 g to 299 g increase or decrease
Im pretty sure It would be a decrease
Can someone Please help me on this easy math problem
Supply the missing reasons to complete the proof.
Answer:
????????????????????????
im in school rn and i dont understand this!
Answer:
[tex]33\%, ~\dfrac 3{10},~0.32,~ \dfrac 13[/tex]
Step-by-step explanation:
[tex]33\% <\dfrac 3{10}<0.32<\dfrac 13[/tex]
can anyone answer this question please
6[y-2]/7-12=2[y-7]/3
Answer:
y =47.5.
Step-by-step explanation:
First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:
21* 6[y-2]/7-21*12 = 21*2[y-7]/3
18(y - 2) - 252 = 14(y - 7)
18y -36 - 252 = 14y - 98
18y - 14y = -98 + 36 + 252
4y = 190
y = 190/4
y = 47.5.
Are the equations m+3=-5 and m-4=-12$ equivalent?
Answer:
Yes They Are Equivalent
Step-by-step explanation:
I checked by multiplying them.
Answer: yes, because they both equal x= -8
Step-by-step explanation:
m= -5 -3
calculate
= -8
m= -12+4
calculate
m= - 8
helpppppppppppppppppppppp plzzzzzzzzzzzzzz
Answer: x= -2, y= 3
Step-by-step explanation:
3x+5y=9
X-y=-5
Multiply bottom equation by 5
3x+5y=9
5x-5y=-25
3x + 5x=8x
5y-5y cancels out
9-25= -16
8x= -16
X= -2
Plug -2 back into equation of choice to find y
3(-2)+5y=9
-6+5y=9
Add -6 to both sides
-6+6 cancels
9+6=15
5y=15
Y=3
plz answer!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
i know
Alyssa has fifty-quarters and dimes
She has a total of $9.80
How many dimes does she have?
a.)32
b.)30
c.)20
d.)18
What is the contrapositive of the statement below?
If you are in Reykjavik, then you are in Iceland.
Answer:
If you are not in Iceland, then you are not in Reykjavik.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The contrapositive of a statement is as follows:
"Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
So, for this one, we need to switch as well!
If you are in Reykjavik, then you are in Iceland.
If you are NOT in Iceland, then you are not in Reykjavik.
The answer would be D
help me please
If an item is 40% off with an additional 20% off on top of the sale price, what is the percent savings?
Answer: 60%
Step-by-step explanation: if the question is saying the item was already 40% an ADDITIONAL (adding) 20% will make the item 60% off meaning your percentage of savings is 60%
what is 5,272 divided by 8 give the answer step by step
Answer: 659
Step by step solution:
Answer:
659
Step-by-step explanation:
0659
8 5272
0
52
48
47
40
72
72
0
Dividend:
5272
Divisor:
8
Quotient:
659
Remainder:
0
You may have to write this on paper because it might be hard for you to understand. I'm sorry if this isn't helping and it is very confusing, this is the only way that I could explain it. Thank you for the question and I hope you enjoy your answer :)
which problem can be solved with the equation 1.75 +(-1.75)=0
x+y=0
Step-by-step explanation:
x= 1.75
y= -1.75
What is the answer to this?
Answer:
56
Step-by-step explanation:
Answer:
i think its 140 because u got to add all the sides in order to subtract from 180
i dont know if its right but that is what i think UwU
can someone answer this
Answer: The equation is not an identity
==========================================================
Explanation:
We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.
I'll use c = a+b as a way to help distribute.
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]
Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.
----------------
Here's another way you can see that we don't have an identity.
Let's say we fixed 'a' to be equal to 1.
That means the equation
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]
would turn into
[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]
and simplify to
[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]
Now replace b with x and you'll have the two equations to represent the left and right hand sides
[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]
which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.
Side note: you can pick other values for 'a' instead of just 1.
I HAVE 2 LEFT PLEASE HELP WILL GIVE BRAINLIEST
Dracos invested $125,000 in 2008. Each year its value increased by 5%. Which of the following equations can be used to represent the investment value after x years.
Group of answer choices
f(x)=125,000(1.05)x
f(x)=15(125,000)x
f(x)=125,000(0.85)x
f(x)=85(125,000)x
Answer:
f(x)=125k(1.05)x
Step-by-step explanation:
ommg
ok so every year it increase by 5%, aka 105%
which is 125k*105/100x which is the first one f(x)=125k(1.05)x
if u are not sure than use cross of elinimation
cant be 2nd one cause its not correct
third one ur decreasing
fourth one is just like the 2nd one
If School starts at 7:15 and I take 6 periods of class but I stay in 1-4 period each for 47 minutes and stay in 5th and 6th period for 97 minutes. What time will it be after 4 periods? Hint: This is clock wise!!!
Answer:
10:24
Step-by-step explanation:
if school starts at 7:15 and you stay in the first 4 periods for 47 minutes each, that totals 3 hours, 8 minutes
7:16 + 3 hrs, 8 min = 10:24
What is the equation of the line that passes through the point (-6,1) and has a
slope of 1?
Answer:
y = x + 7
Step-by-step explanation:
If the slope is 1, the original equation is y = mx + b, with m being 1.
Now substitute -6 and 1 for x and y and solve for b
1 = 1(-6) + b
1 = -6 + b
7 = b
Put it all together:
y = x + 7
a recipe requires the following ingredients to make 16 gingerbread men
140g of flour
250g of sugar
80g of ginger
110g of butter
how much of each ingredient would you need to make 40 gingerbread men?
How do I work this out?
Answer:
5,600 g of flour
10,000g of sugar
3,200g of ginger
4,400g of butter
Just have to multiply each ingredient by 40
what is the slope of the line
Answer:
Bala Bala Bala Bala Bala
Step-by-step explanation:
what is the slope of the Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah answer is answer the question Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah
[tex]\Large\bold\red{Question}[/tex]
Refer to the attachment.
Thank you!
Note:Don't Spam
Don't copy
If you don't know the answer don't answer.
Thank You!
[tex]\huge \rm༆ Answer ༄[/tex]
The equivalent expression is ~
[tex] \boxed {\boxed{ \sf2}}[/tex]Refer to attachment for solution ~
For x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the mathematical expression is:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]
Given the following data:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx}[/tex][tex]\frac{\sqrt{1 \;-sin^2x} }{cosx}[/tex]In Trigonometry, you should take note of the following mathematical expression:
[tex]sin^2x + cos^2x = 1[/tex]
Therefore, we can obtain the following:
[tex]sin^2x = 1 - cos^2x[/tex] ...equation 1.
[tex]cos^2x = 1 - sin^2x[/tex] ...equation 2.
Substituting the equations respectively, we have:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = \frac{\sqrt{sin^2x} }{sinx} + \frac{\sqrt{cos^2x} }{cosx}\\\\[/tex]
Taking the square roots, we have:
[tex]\frac{sinx}{sinx} + \frac{cosx}{cosx} = 1 +1\\\\1+1=2[/tex]
Therefore, for x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the expression is:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]
Read more on trigonometry here: https://brainly.com/question/4515552
Caleb decreases a number by 6 and then multiplies it by 2. He gets the same answer as
when he subtracts 8 from the original number. What is the number?
please answer!!
Answer: 4
Step-by-step explanation: If Caleb starts with 4 and subtracts 6, he'll get -2. -2 times 2, equals -4. If he starts with 4 and subtracts 8, he'll again end up with -4, meaning the original number is 4!
4-6= (-2)
-2*2= (-4)
4-8= (-4)