Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
Grocery Store A is selling bananas for $0. 75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3. 75. Which store is offering the best unit rate? Show your work.
The store is offering the best unit rate is Grocery Store A.
The store with the lower unit rate offers the best rate. The unit rate is the total cost divided by the pound of bananas sold.
unit rate = cost / pounds
Unit rate of Grocery Store A: $0.75 / 12 = $0.0625
Unit rate of Grocery Store B: $3.75 / 5 = $0.75
Comparing the unit rates of both stores, Grocery Store A offers a lower unit rate.
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52 as a product of prime factors.
Answer:
13 *2*2
or
13*2^2
Step-by-step explanation:
52 = 26*2
But 26 is not prime
52 = 13*2 *2
52 = 13 * 2^2
Step-by-step explanation:
hope it helped!! ..............
can someone help with this
[tex]R.H.S\\\\=(a+b)(a^3-a^2b-ab^2+b^3)\\\\=a^4-a^3b-a^2b^2+ab^3 + ba^3-a^2b^2-ab^3+b^4\\\\=a^4+b^4-2a^2b^2\\\\\neq a^4 +b^4\\\\\\\text{Hence, }(a+b)(a^3-a^2b-ab^2+b^3) =a^4+b^4 ~ \text{is not true.}[/tex]
The length of each side of a square is 3 inches more than the length of each side of a smaller square. the sum of the areas of the squares is 369 in.² find the length of the sides of the two squares
Answer:
Have you ever had a dream that, that, um, that you had, uh, that you had to, you could, you do, you wit, you wa, you could do so, you do you could, you want, you wanted him to do you so much you could do anything?
Step-by-step explanation:
If the formula P = a + 2b is rearranged then a = *
p - 2b
2b - p
P + 2b
2Pb
[tex] \: \: \: [/tex]
[tex]a = - 2b \: + \: p[/tex]
refer to the attachment for explanation
hope it helpsTake 2b to left sign turns negative
a=-2b+pa=p-2bOption A
100 POINTS PLEASE HELP ME I BEG 100 POINTS
Answer:
see explanation
Step-by-step explanation:
(1)
Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then
∠ E = [tex]\frac{180-106}{2}[/tex] = [tex]\frac{74}{2}[/tex] = 37°
(2)
Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then
12y = 60 ( divide both sides by 12 )
y = 5
(3)
The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then
KL = JL , that is
4t - 8 = 2t + 1 ( subtract 2t from both sides )
2t - 8 = 1 ( add 8 to both sides )
2t = 9 ( divide both sides by 2 )
t = 4.5
(4)
Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is
AB = AC
4x + 1 = 9 ( subtract 1 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Then
perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9
= 6x + 13
= 6(2) + 13
= 12 + 13
= 25
Answer:
full
Step-by-step explanation:
screen
please urgent i beg for help !!!!!!!!!!!!!!!!!!!! will mark brainlist
Step 2 is incorrect. Since we are flipping the numerator and denominator, the exponents sign should be the opposite! In this case, it would become -5x.
Hope this helps!
Is it True or false ?
Answer:
Step-by-step explanation:
true
If the width of the rectangle is three times the lengthAnd a perimeter is 72 feet What are the length and width of the rectangle
Answer:
Width = 27
Length = 9
*You might of switched width and length around please check*
Step-by-step explanation:
Width = 3x
Length = x
Perimeter Formula
2(3x+x) = 72
2(4x) = 72
8x = 72
x = 9
Since X was found, plug it in to find the width and length
3(9) = 27
x = 9
The U.S. Senate has 100 members. After a certain election, there were 12 more Democrats than Republicans, with no other parties represented. How many
members of each party were there in the Senate?
Two planes leave Berlin. One plane flies 939 km to London. The other plane flies to 882 km to Paris. The angle
between the flights is 18º.What is the distance between London and Paris?
London
939 km
18
Berlin
882 km
Paris
The distance between London and Paris is 290.38km
To get the distance between London and Paris, we will see the cosine formula as shown:
c² = a² + b² - 2ab cosФ
Given the following parameters:
a = 939kmb = 882 kmФ = 18⁰Substitute into the formula to have:
c² = a² + b² - 2ab cosФ
c² = 939² + 882² - 2(939)(882) cos18
c² = 1,659,645 - 1575326.21
c² = 84,318.79
c = 290.38km
Hence the distance between London and Paris is 290.38km
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Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard
1.)right in equation that models the total number of money, y, that you can buy x yards of fabric
2.) if you bought 9 yards of fabric how much will you pay
3.) if you paid $47.50 how many yards of fabric did you purchase
1.) 10x-5=y
2.) $85
3.) 5.25 yards of fabric.
Step-by-step explanation:1.) To write an equation for this problem, we need to figure out what every value means:
the variable x, represents the amount of yards of fabric you can buy
the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.
1 yard of fabric equals $10, and we have a $5 coupon (-5)
Our equation is:
10x-5=y
This equation represents the relationship between the total cost of fabric, and the amount that you can buy.
2. In order to solve this problem we need to use our equation, one value is given which is 9.
9 represents x, the amount of yards of fabric.
Substitute 9 into x:
10(9)-5=y
Solve:90-5=y
85=y
85 represents the cost of 9 yards of fabric, including the $5 coupon.
3.) This problem is similar to #2, although it's flipped.
The value given is $47.50, which represents (y), the total amount of money after (x) was found out.
But, we need to figure out (x).
Substitute $47.50 into (y):
10(x)-5=$47.50
Next, we need to figure out x by solving the opposite.
Adding the coupon to our answer can represent 10(x).
$47.50+5=52.50
10(x)=52.50
Lastly, divide both sides of the equation by 10.
10(x) / 10=52.50 /10
x=5.25
5.25 represents the amount of yards of fabric purchased if you paid $47.50.
If a = 5, b = 2, c = 4, then 6ab - 2c =
628
52
2
60
Answer:
52
Step-by-step explanation:
Where you see the letters substitute with the number.
6(5)(2) - 2(4)
60 - 8
=52
Answer: 52 because if you Where you see the letters substitute with the number.
6(5)(2) - 2(4)
60 - 8
=52
like ponitail151 said.
which equations match the graph
Answer:
A.) f(x)=1/3x + 1 and g(x)=1/3(6x)+1
Step-by-step explanation:
because firs you see the graph of intercepts or vertex.
see y-intercepts : our graph crosses though 1
the first choice crosses at 1 both f(x) & g(x)
the second choice crosses at 1 both f(x) & g(x)
the third choice crosses at -8 both f(x) & g(x) so this can't be answer.
the forth choice crosses at 1 both f(x) & g(x)
see x-intercept : f(x) crosses -3 and g(x) crosses at approximately -1/2
the first choice crosses at -3 at f(x) & - 1/2g(x)
the second choice crosses at -1/2 at f(x) & - 1/6g(x)
the third choice crosses at 8/3 at f(x) & 8/15g(x)
the forth choice crosses at -3 at f(x) & - 3/4(x)
the graph seems crosses at 1/2 at g(x).
so the answer if the first choice.
-2x-3=-x+6 plssssssss I can’t find a solution
Answer:
x = -9
I'm not sure if you were looking for a solution to x but I hope this helps :)
the sum of two numbers is 30. the difference one the two numbers is 4
Answer:
20+10 is 30 5x6 is 30
Step-by-step explanation:
so just add numbers to find 30
Answer:
first number is 17 and second number is 13
Step-by-step explanation:
let the numbers are x and y
if their sum is 30 and difference is 4
then
x+y=30 --------------1equation
x-y=4 -----------2equation
add both the equations,
2x=34
x=17
then
put the value of x in 1equation,
x+y=30
17+y=30
y=30-17
y=13
then,
first number is 17 and second number is 13
Which property is shown?
2.1= 2
identity property of multiplication
distributive property
commutative property of addition
associative property of multiplication
Answer:it’s distributive property
Step-by-step explanation:
Round 2593.6781 to nearest thousandths.
Answer:
The answer is 2593.678
Step-by-step explanation:
Assume the mean life of an iPhone is 5 years (60 months)and a standard deviation of 8 months If the age in years at which an iPhone is replaced is approximately normally distributed, what is the probability that the phone will need to be replaced between 60-75 months? A 47% B 82% C 54% D 68%
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
Help Me!
Refer To The Attachment
NOTE: Only for best users like Itz0kaul,Mscute, Mhanifa etc.
Spams Not allowed
Need answer with explanation
If you don't know the answer don't answer.
Thank You!
Answer:
[tex]to \: know \: the \: answer[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps !!Trigonometric identities are used to prove or disprove trigonometric ratios
The trigonometry identity is given as:
[tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex]
Simplify the trigonometry identity, as follows:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
This is so because:
[tex]\cos(\pi + x) = -\cos(x)[/tex]
[tex]\cos(-x) = \cos(x)[/tex]
[tex]\sin(\pi -x) = \sin(x)[/tex]
[tex]\cos(\frac{\pi}{2} + x)} = -\sin(x)[/tex]
So, we have:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
Evaluate the products
[tex]\frac{-\cos^2(x)}{-\sin^2(x)} = \cot^2x[/tex]
Cancel out the common factors
[tex]\frac{\cos^2(x)}{\sin^2(x)} = \cot^2x[/tex]
Rewrite the trigonometry identity, as follows:
[tex](\frac{\cos(x)}{\sin(x)})^2 = \cot^2x[/tex]
In trigonometry,
[tex]\frac{\cos(x)}{\sin(x)} = \cot x[/tex]
So, we have:
[tex](\cot(x))^2 = \cot^2x[/tex]
Remove the bracket
[tex]\cot^2x = \cot^2x[/tex]
The above equation is true.
Hence, [tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex] has been proved
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Determine if the relation below is a function.
(-5,1) ; (3,1) ; (5,1) ; (2,1)
Group of answer choices
Yes, this relation is a function.
No. this relation is not a function.
The length of a rectangular hall exceeds its breadth by 7 m. If the breadth is decreased by 1 m and the length increased by 2 m, the area remains the same. Find the length and breadth of the hall.
Answer:
Step-by-step explanation:
Let the length be :x+7
Let the breadth be:x
After addition and subtraction
Length:x+7+2=x+9
Breadth:x-1
A.T.Q
x(x+7) = (x+9)(x-1)
x²+7x = x(x-1)+9(x-1)
x²+7x = x²-x+9x-9
x²+7x-x²+8x = 9
8x-7x = 9
So, Breadth: 9m
So, Length :16m
Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market price of $14 What is your profit per unit? What is your total profit?
Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500
The profit made from each unit sold can be found as:
= Market price - Average cost
= 14 - 9
= $5
The total profit would therefore be:
= Profit per unit x Number of units sold
= 5 x 500
= $2,500
In conclusion, the profit per unit is $5 and the total profit is $2,500
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The perimeter of a rectangular field is 336 m.
If the width of the field is 74m, what is its length?
Answer:
94 m
Step-by-step explanation:
Perimeter = 2(l + W)
336=2(74 + L)
336/2=74+L
168-74=L
L=94 m
Help help correct answers only
Find equivalent expressions of 3+2x−9−4x+11+5x−x. Choose three expressions.
The expression that is equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x, is: 2x + 5.
What are Equivalent Expressions?Expressions that have the same value are said to be equivalent expressions.
Evaluate 3+2x−9−4x+11+5x−x:
3 + 2x − 9 − 4x + 11 + 5x − x
Add like terms together
2x - 4x + 5x - x + 3 - 9 + 11
2x + 5
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Answer:
Step-by-step explanation:
The expression that is equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x, is: 2x + 5.
i dont want to fail please anyone with a kind heart help its just thid one question im stuck with :(
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
*Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.*
Answer:
110
Step-by-step explanation:
there
Write the following five interest rates in descending order (greatest to least): 5.51%, 5 1/2%, 5 5/8%, 5.099%, 5.6%
Answer:
5 5/8%, 5.6%, 5.51%, 5 1/2%, 5.099%
Step-by-step explanation:
5 5/8% reduces to 5.625…and 5.099% is the least because it isn’t even 5.1%…
So it goes—> 5.625%, 5.6%, 5.51%, 5 1/2% (5.50), and then 5.099%.
The descending order of interest rates is
5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %
What is Descending Order?
When numbers are arranged in descending order, they are done so from largest to least . We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in descending order: Determine how many digits each number has.
Given data ,
Let the total number of data be = 5
Now , the data can be represented in Set A = { 5.51% , 5 1/2% , 5 5/8% , 5.099% , 5.6% }
On simplifying the elements in the set , we get
5.51 % = 5.51 / 100
5 1/2 % = 5.5 / 100
5 5/8 % = 5.625 / 100
5.099 % = 5.099 / 100
5.6 % = 5.6 / 100
Now , the arranging the numbers in the descending order , we get
Hence , the interest rates in the descending order is
5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %
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RSM problem solve it please for me
hello! :p
area of shape one is 12
and area of shape to is 36
In not 100% sure but I thought I could try to help! Don't take my word for it though. :) Have a wonderful day!
a right triangle has a leg length of 14 yards and a hypotenuse of length 43 yards. Find the length of the other leg. Provide an answer accurate to the nearest tenth
By applying the Pythagorean theorem, we will find that the length of the other leg of the right triangle is 40.7 yards.
If for right triangle we define A and B as the length of the two legs, and H as the length of the hypotenuse, the Pythagorean theorem says that:
A^2 + B^2 = H^2
Here we know that:
A = 14 yd
H = 43 yd
And we want to find the other leg, then we can replace that in the equation to get:
(14yd)^2 + B^2 = (43yd)^2
B = √( (43yd)^2 - (14yd)^2) = 40.7 yd
So the other leg length is 40.7 yards.
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