The ratio of the number 520 in 6: 7 will be 240: 280.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the number 520 is divided into the ratio 6: 7.
The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.
6x + 7x = 540
13x = 540
x = 540 / 13
x = 40
6x = 40 x 6 = 240
7x = 7 x 40 = 280
Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.
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find the derivative of sin2X
Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
Answer:
2cos2x
Step-by-step explanation:
Using the Chain rule
[tex]\frac{d}{dx}[/tex] (sin2x)
= cos2x × [tex]\frac{d}{dx}[/tex] (2x)
= cos2x × 2
= 2cos2x
8. Karen had a balance of $57 in her
checking account. She wrote a
check for $90. What is her new
balance?
Answer:
-$33
Step-by-step explanation:
KAREN now ows money to the bank
2² + 2[2(3+1)(3-2)-1]
Answer:
18
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
How much water do you need to add to make each concentration?
1% sugar syrup using 12 g sugar
Answer:
108 g of water
Hope This Helps!!!
Plzzzzz plzzzzzzz help meeee
Answer:
Its correct
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
what is the equation, in point-slope form, for a line that gies through (8, -4) and has a slope of -5/6?
Answer:
y+4=-5/6(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-5/6(x-8)
y+4=-5/6(x-8)
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A principal of $2900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 7 years?
Let S = Sum after 13 years
So = amount invested
t = time in years
i = annual interest rate = .0325
The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21
Determine if the relation below is a function.
(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)
Group of answer choices
Yes, this relation is a function.
No, this relation is not a function.
Answer: No, this relation is not a function.
Step-by-step explanation: Beca the x’s value’s repeat
Can someone please help me with this quick question
Pleaseee help asapppp
Solve the simultaneous equations
4 x + y = 17
3 x + y = 15
A car dealer starts the month with 120 cars. The dealer sells 3 cars each day. The number of cars remaining on any day can by modeled by the function f(x) = 120 - 3x. What should the domain of the function be if you want to know the number of cars remaining on any day during the month? What are the maximum and minimum values during the month?
The domain of the function to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.
The domain is the all inputted value for which the function is defined. All the x values are domain of a function.
Now, finding the domain of the function,
We know that, the number of cars cannot be negative, so
[tex]f(x)\geq0\\120-3x\geq0\\3x\leq120\\x\leq40[/tex]
The number of cars should be greater than 0, so x > 0.
So, the domain will be [0, 40].
The maximum value is given by putting x = 0,
[tex]f(0)=120-3(0)\\=120[/tex]
The minimum value is given by putting x = 40,
[tex]f(40)=120-3\times40\\=120-120\\=0[/tex]
Therefore, the domain of the function f(x)=120-3x to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.
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6 remainder 1 as a fraction
Using the slope formula, find the slope of the line through the given points.
(9.7) and (6.4)
What is the slope of the line? Select the correct choice below and if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Type an integer or a simplified fraction.)
OB. The slope of the line is undeined.
Help pls
Answer: Start with y2-y1/x2-x1
-4+7/-6+3
Answer=2.5 or 5/2
DONT TRUST ME THOUGH
Step-by-step explanation:
Which ordered pair is a solution to the system of inequalities?
{y > -2
{x + y ≤ 4
A. (1,3)
B. (0, -4)
C. (-2,-3)
D. (1,5)
A (1,3) is a solution to the system of inequalities
Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18
Answer:
x = ±[tex]\sqrt{7}[/tex] - 5
Step-by-step explanation:
x^2 - 10x = -18
x^2 - 10x + 18 = 0
(x + 5)^2 - 5^2 + 18 = 0
(x + 5)^2 - 7 = 0
(x + 5)^2 = 7
[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]
x = ±[tex]\sqrt{7}[/tex] - 5
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus $16 per ticket to the planetarium. The second day they paid $85 for transportation plus $13 per ticket to the geology museum. Write an expression to represent the total cost for two days for the n members of the club.
Answer:
I dont know your answer
Step-by-step explanation:
Because i dont
2+2×4 that is my question i need help
Answer:
10
Step-by-step explanation:
2+(2x4)
2x4=8
2+8=10
Answer:
10
Step-by-step explanation:
so we need to use PEMDAS
2×4=8
8+2=10
simplest form of 3/4+1/12
Answer:
5/6
Step-by-step explanation:
The table shows the average temperatures of different cities on a particular day. On a number line, which city's temperature will be between the temperatures of Manning and Stanville?
Answer:
chicken tender
Step-by-step explanation:
rgerr
Answer:
Step-by-step explanation:
Your math grade is a 68%.You turn in some late work, and now your grade is an 82%.What is the percent change?
Answer:
your grade increased by 14%
1/4 divided by 3 I’m behind and I really just want to get this over with :) plus math is my least favorite subject thanks to my teacher so yeah plz help:)
Answer:
XD [tex]\frac{1}{12}[/tex] is the answer.
Step-by-step explanation:
So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.
Hopes This Helps
67-7x(12-3)
Evaluate
Answer:
67-63x
Step-by-step explanation:
2x2 cuantos porfasss
Answer:
4
Step-by-step explanation:
Answer:
2 x 2 = 4
Step-by-step explanation:
if you count 2 2 times then you would get 4. EASY
18. Layla conducted a science experiment. She ended up with 19 millimeters of the solution, But she thought she would end up with 16 millimeters. What was her percent error? Round to the nearest tenth.
A.-23.1%
B-15.8%
C.-17.4%
D-84.2%
PLEASE HELP ME!!!
Answer:
I'm pretty sure it's B. 15.8%
Step-by-step explanation:
It's closest to 3 and there is a difference of 3 between 19 and 16
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
HELP! I WILL NOT TAKE SPAM ANSWERS! IF U SEND ME AA LINK I'M GONNA GET MAD!
An electrician cut 3 5/8 yards of wire into six equal sections. After cutting, how long was each piece?
Answer:
29/48
Step-by-step explanation:
3 5/8 Divided By 6= 29/48
Dividing fractions is simple if you know what to do, and how to multiply.
Here's how:
-----------------------------
1. convert any whole number or mixed number into a fraction.
6 = 6/1.
Whole number x denominator + numerator = 29/8
(3) (8) (5) (answer/original denominator)
-----------------------------
2. Keep, Change, Flip (KCF)
29 1
__ x __
8 6
With KCF, we keep the first fraction, change the division to multiplication, and flip the second fraction.
---------------------------------------
3. Multiply numerators and denominators
29 x 1 = 29
__
8 x 6 = 48
29/48 is in it's simplest form.
Hence, your answer.
Each wired piece was 29/48 of a yard.P.S - Please let me know if i made any mistakes.WILL GIVE BRAINLY,5 STARS,AND THANKS
Answer:
Step 1: 10 group(s) of 23 = 230
Step 2: 6 group(s) of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
Step-by-step explanation:
For step one you can tell that 230/10 is 23. You can tell this because of the zero at the end of the number. Anything multiplied by 10 is that number but with a zero at the end. For step 2 you kind of have to do long division, or you can use a calculator. You will end up with 6. When you add the partial quotients, it means add the answers to steps 1 and 2 together and get 16. This should be right hope it helps!
Answer
From the results, we can conclude:
230=23×10
138=23×6
Therefore:
Step 1: 10 groups of 23 = 230
Step 2: 6 groups of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
answer 10 + 6 = 16
HELP PLS
1) what value is located 2,3
2) what is the dimension of this matrix?
3) do you remember see matrices before today?
Question 1
Answer: 7Explanation: The notation "2,3" tells us to go to row 2, column 3. The value 7 is at this location.
====================================================
Question 2
Answer: 3 x 4Explanation: The dimensions refer to the number of rows and number of columns. In this case, we have 3 rows and 4 columns. The number of rows is always listed first.
====================================================
Question 3
This is something you'll have to answer yourself because it will be based off your personal experiences. There is no right answer, so feel free to answer however you wish.
Solve for.
11x +4 < 15
OR
12x – 7 > -25
Choose 1 answer:
3
<3 <1
3
B
>>
1910
<1
Step-by-step explanation:
11x-4<15
11x<15+4
11x<19
x<1