We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25
[tex]\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} [/tex]
[tex]\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)[/tex]
[tex]\\ \sf\longmapsto \: 100x + 75y = 72x + 96y[/tex]
[tex]\\ \sf\longmapsto \: 100x - 72x = 96y - 75y[/tex]
[tex]\\ \sf\longmapsto \: 28x = 21y[/tex]
[tex]\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} [/tex]
Hence ,
x : y = 3 : 4[tex]\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}[/tex]
Use cross multiplication[tex]\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)[/tex]
[tex]\\ \sf\longmapsto 72x+96y=100x+75y[/tex]
[tex]\\ \sf\longmapsto 96y-75y=100x-72x[/tex]
[tex]\\ \sf\longmapsto 21y=28x[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}[/tex]
Cut 7[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto x:y=3:4[/tex]
Add 2 to me, multiply by 3, then subtract 3. Divide by 8, then subtract 7. You -4
Answer:
7.
Step-by-step explanation:
Reverse all operations. (Subtract = Add, Add = Subtract, Divide = Multiply, Multiply = Divide)
Add 7+-4 to get 3.
Multiply 8*3 to get 24.
Add 24+3 to get 27.
Divide 24/3 to get 9.
Subtract 9-2 to get 7.
Check the other way:
Add 7+2 to get 9.
Multiply 9*3 to get 27.
Subtract 27-3 to get 24.
Divide 24/8 to get 3.
Subtract 3-7 to get -4.
solve by factoring 9x^4-16=0
Compare 2/5 and 8/10
Answer:
2/5 is 4/10. 8/10 is 2 time greater than 2/5.
Step-by-step explanation:
4/10= 0.8, which can be written 8/10.
Make me brainlist.
1)
Find the value of x.
x=6
Explanation:
The opposite side is 35, and the sides are still the same length, but on the side it has +5, so when you multiply 5 by 6 you'll get 30. 6×5=30
30+5=35.
Therefore,
x is going to have to be 6.
Please Help
Factor the polynomial: x^3 + 3x - 2x - 6
Answer:
(x^2-2)(x+3)
Step-by-step explanation:
x^3 + 3x^2 - 2x - 6
x^2(x+3)-2(x+3)
(x^2-2)(x+3)
After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.
Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?
The value of b Lois gave to Clark to satisfy the given equation is -7.
The given parameters;
2x + 7 - x = 4x + 2b – 3x - 3b
To obtain the value of b, simplify the equation as follows;
2x + 7 - x = 4x + 2b – 3x - 3b
collect similar terms together
(2x - x) + 7 = (4x - 3x) + (2b - 3b)
x + 7 = x - b
(x - x) + 7 = -b
0 + 7 = -b
7 = -b
-7 = b
b = -7
Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.
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can someone solve this trigonometry question?
Convert 4 weeks to days.
O A. 28 days
O B. 29 days
O c. 31 days
O D. 30 days. I will mark brainiest hurry
There are 28 days in 4 weeks.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
There are 7 days in a week, so to convert weeks to days, we multiply the number of weeks by 7. For example, if we have 2 weeks, we would multiply 2 by 7 to get 14 days.
In this case, we are given 4 weeks and asked to convert it to days. So we multiply 4 by 7 to get:
4 x 7 = 28
Therefore, there are 28 days in 4 weeks.
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#SPJ2
What is the sum of all integers which are not divisible by 5 or 9 between 1 and 100?
The sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.
To determine what is the sum of all integers which are not divisible by 5 or 9 between 1 and 100, the following calculation must be performed:
1 + 2 + 3 + .... + 100 = 5050 (5050 - 9 - 18 - 27 - 36 - 45 - 54 - 63 - 72 - 81 - 90 - 99 - 5 - 10 - 15 - 20 - 25 - 30 - 35 - 40 - 50 - 55 - 60 - 65 - 70 - 75 - 80 - 85 - 95 - 100) = X 3541 = X
Therefore, the sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.
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In the image shown, line n is a transversal cutting parallel lines 1 and m. Angle 2= 2x+50 Angle 8= x+76. What is the measure of angle 2?
A. 102
B. 104
C.105
(there is no D btw :))
If it takes 5 pounds of peanuts to make 9 jars of peanut butter, exactly how many pounds of peanuts is needed to make 24 jars of peanut butter?
Step-by-step explanation:
So it takes 5 pounds to make 9 jars of peanut butter and x pounds to make 24 jars of peanut. The equation is written as5pounds=9 jars
? =24 jars
Then you cross multiply /work it out as
5×24÷9
And your final answer will be
13 1/3 pounds
The graph shows the amount of rain that falls over time. Does the rain fall at a constant or variable rate? How much rain falls per hour?
thanks!
Answer: yes, it does fall at a constant rate. for each hour there is one inch of rainfall.
Step-by-step explanation:
if the line goes the the origin (0,0) then that means that it is a constant rate. if you look at the chart, there is number on every other line. This means that there is an odd number on the other lines. If you then go up the line for 1 hour, then you will meet at lines intersecting to get 1 inch of rainfall per hour
(2 + 10) × 5 = (2 × 5) + ( __ × 5)
Answer:
10
Step-by-step explanation:
We can use the distributive property to get:
[tex]5(2+10)=5(2)+5(10)[/tex]
Therefore, the blank is 10.
(-1, 16), (-13, 6)
Write an equation in slope-intercept form.
help
Answer:
y=5/6x+101/6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-16)/(-13-(-1))
m=-10/(-13+1)
m=-10/-12
simplify
m=5/6
y-y1=m(x-x1)
y-16=5/6(x-(-1))
y-16=5/6(x+1)
y-16=5/6x+5/6
y=5/6x+5/6+16
y=5/6x+5/6+96/6
y=5/6x+101/6
Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?
Answer:
10 for 9$
Step-by-step explanation:
because say the each ball cpsts a dollar, and the total for 3 would be 3$ for the cost of 10 would be 9 so its less but more mo ey spent
One week Roger earned $425.50 regular pay and $60.50 overtime pay. His net pay for the week was $275.30. How much did he have withheld for deductions?
Answer:
He had $210.7 withheld for deductions
Step-by-step explanation:
Add his regular pay to his overtime pay
$425.50 + $60.50 = $486
After adding both his overtime and regular pay, he'd have $486. Now, take that and subtract his net pay
$486 - $275.30 = $210.7 :)
please help! (more info on photo)
[tex]\huge \rm༆ Answer ༄[/tex]
Let's rearrange the terms to convert the equation into slope - intercept form ~
[tex] \sf3x - 2y = - 28[/tex][tex] \sf - 2y = - 28 - 3x[/tex][tex] \sf2y = 28 + 3x[/tex][tex] \sf y = \dfrac{28}{2} + \dfrac{3x}{2} [/tex][tex] \sf y = \dfrac{3}{2} x + 14[/tex]I hope it helps ~
The longest side of a triangle is always opposite the:
Answer:
angle with the greatest measure
Step-by-step explanation:
the greater length of the triangle is always opposite from the greater angle. hope this helps :)
You run a florist shop that both operates at a physical location and sells over the internet. Which search problem must you consider with mobile devices, but not with laptop and desktop computers?.
The search problems to consider with mobile devices, but not with laptop and desktop computers is
Your website must provide directions to your store's brick and mortar location
In the growing trend in technology, people prefer to have access to everything in mobile devices as they come handy. The chances of users visiting a website via mobile devices is more compared to that of a laptop.
Users also prefer to visit a store in person to get a clearer view of the items to be bought. Therefore, it is necessary to provide all that's required for the user, so that the chances of visiting the store is more, which is why it is good to provide directions to the store for a better user experience - to direct the users to the store on the go.
For more information on computers, laptops and mobile devices visit
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Solve for number 17
Answer:
The persification of A C Square BX LFO xc83 cx>? 783fx
Step-by-step explanation:
Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work
=========================================================
Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = xThe hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode
In the diagram below, TU is parallel to Q R. If
RU = 12, TU = 25, and QR = 40, find the length of
SU. Figures are not necessarily drawn to scale. State
your answer in simplest radical form, if necessary.
Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.
Recall:
When two triangles are similar, the ratio of their corresponding side lengths are equal.Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.
Therefore:SR/SU = QR/TU
SR = RU + SU = 12 + SU
SU = ?
QR = 40
TU = 25
Plug in the values
[tex]\frac{12 + SU}{SU} = \frac{40}{25}[/tex]
Cross multiply[tex](12 + SU)25 = 40(SU)\\\\300 + 25SU = 40SU\\\\300 = 40SU - 25SU\\\\300 = 15SU\\\\\mathbf{SU = 20}[/tex]
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Write the number for twenty-six million seven hundred thousand.
Answer:
The answer is 26,700,000
What is |-8| ? -16
-8
8
16
Answer:
8
Those little "sticks" are called absolute value.
For example, the absolute value of 2 is 2, and the absolute value of −2 is also 2. The absolute value of a number may be thought of as its distance from zero along real number line.
Thus, it doesn't matter if the number is positive or negative. As it only counts its distance from 0, on the number line.
I hope it helps.
If the legs of an isosceles right triangle have a length of 15 StartRoot 2 EndRoot ft, what is the length of the hypotenuse? 7. 5 feet feet feet 30 feet.
The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.
Given :
The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.
The following steps can be used in order to determine the length of the hypotenuse:
Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.
Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.
Step 3 - So, the length of the hypotenuse is calculated as:
[tex]H^2 = 2\times (15\sqrt{2} )^2[/tex]
Step 4 - Simplify the above expression.
[tex]H =30\;{\rm ft}[/tex]
Therefore, the correct option is D).
For more information, refer to the link given below:
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Answer:
d
Step-by-step explanation:
HELP ME PLEASE!! I NEED THIS!
Determine whetherf(z) = 5x^2 -20x + 3 has a maximum or a minimum value and find that value.
the graph" will also not earn the credit.
Answer:
min{5 x^2 - 20 x + 3} = -17 at x = 2
Step-by-step explanation: here's the graph
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
1.25 customers / minute
Step-by-step explanation:
To find the unit rate of how many customers came in per 1 minute, just do 15/12 = 1.25
1)
Find the value of x.
x=8
Explanation:
the opposite side is 72, which means I have to make 9x end up equaling 72.
72÷9
////
72/9
=8
9×8=72
Therefore
the value of x is 8.
How do I write 4 times difference of a number and 8
Answer:
4(n-8)
Step-by-step explanation:
4(n-8)
I think it'd be written like this
Find the value of two numbers if their sum is 112 and their difference is 66.
Answer:
x+y = 112 ........ (1)
x-y = 62............ (2)
from (1) and (2)
2x = 174
x = 174/2
x = 87
sub x = 87 in (1)
x+y = 112
87+y = 112
y = 112 - 87
y = 25
so the numbers are 87 and 25
Step-by-step explanation: