how do I solve this?

How Do I Solve This?

Answers

Answer 1

Value of [tex]x[/tex]is [tex] - 12[/tex].

Final Answer is [tex]480[/tex]

Step-by-step explanation:

Assume that:

First number = x

Second number = 20 - x

Putting the given conditions,

[tex]2x^{2} + 3(20 - x)^{2} [/tex]

Putting the formula (a-b)²=(a²+2ab+b²) in (20-x)²,

[tex]2 {x}^{2} + 3(20^{2} - 2 \times 20 \times x + {x}^{2})[/tex]

[tex] = > 2 {x}^{2} + 3(400 - 40x + x^{2})[/tex]

Opening the brackets,

[tex]2 {x}^{2} + 3 \times 400 - 3 \times 40x + 3 \times {x}^{2} [/tex]

[tex] = > 2 {x}^{2} - 1200 - 120x + 3{x}^{2}[/tex]

[tex] = > (2x^{2} + 3 {x}^{2}) - 120x + 1200[/tex]

[tex] = > 5 {x}^{2} - 120x + 1200[/tex]

[tex]As \: x= - \frac{b}{2a}[/tex]

[tex] = > - \frac{120}{2 \times 5}[/tex]

[tex] = > - \frac{120}{10} [/tex]

[tex] = > - 12[/tex]

Now substituting the value of x in 5x²-120x+1200,

[tex] = > (5 \times {12}^{2} )-(120 \times 12)+1200[/tex]

[tex] = > (5 \times 144)-(1440)+1200[/tex]

[tex] = > 720 - 1440 + 1200[/tex]

[tex] = > 720 - (1440 - 1200)[/tex]

[tex] = > 720 - 240[/tex]

[tex] = > 480[/tex]


Related Questions

it’s 4:45am someone please help

for the drop down lists:
f(4)=
• -11
• -2
• 1
• 30

if g(x)= 2, x =
• 0
• 2
• 5
• 30

Answers

Answer:

see below

Step-by-step explanation:

f(4) = -11

g(x) = 2,x = 0

when should you use dot plots and why?

Answers

Dot plots are used for continuous, quantitative, univariate data. They can be also used for finding outliers, compare distributions, locate the central tendency of your data, etc…

help please


Solve the problem and explain the steps taken.

There are four students working on a project in math class. Miguel has completed 1/8 of the project, Gina has completed 13% of the project, Jatziry has completed 0.10 of the project, and Kwa has completed 1/9 of the project. Make a list of the students in order from least to greatest by the amount of the project they have completed.

Answers

Answer:

Jatziry, Kwa, Miguel, Gina

Step-by-step explanation:

I changed it into decimal.

0.1, 0.11, 0.125, 0.13

Archie cycled for 12 hours at an average speed of 23 km/h.
Jade travelled the same route as Archie but it took her 2 hour 45 minutes.
What is Jade's average speed to 1 dp?

Answers

Answer:

100.4 km/h (1 dp)

Step-by-step explanation:

If Archie cycled for 12 hours at an average speed of 23 km/h, then the total distance he cycled is:

total distance = 12 x 23 = 276 km

convert 2 hours 45 mins to decimal:

2 hours 45 mins = 2 + 45/60 = 2.75 hours

Therefore, if Jade took 2.75 hours to travel 276 km, her average speed is:

average speed = 276 ÷ 2.75 = 100.4 km/h (1 dp)

For Archie

Avg speed=23km/hTime=12hDistance=23(12)=276km

Now

for Jade

Time=2h 45min=2+3/4h=2+0.75h=2.75h

Avg speed:-

[tex]\\ \tt\Rrightarrow \dfrac{276}{2.75}[/tex]

[tex]\\ \tt\Rrightarrow 100.4km/h[/tex]

50. Given GH with endpoints (-11.4) and H-1.-9), what are the coordinates of the midpoint of GH?
A (-12,-5)
C (-10, 13)
B (-6.-2.5)
D (-5.6.5)
Please explain/ dumm it down for me ​

Answers

The answer is B because

[tex]\huge \boxed{\sf (-6,-2.5)}[/tex]

[tex]\sf Midpoint \ formula:\\\\ \displaystyle (x_m, y_m) = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \\\\\\ \frac{-11+-1}{2}, \frac{4+-9}{2}=\frac{-12}{2}, \frac{-5}{2} =-6,-2.5[/tex]

The midpoint formula can determine the midpoint of a line segment given its endpoints. The midpoint is the location midway between two endpoints, as the name may have already implied. Divide the total of the x-values by 2 and the same for y-values.

Pls help what is side AB

Answers

Answer:

sin●=opposite/hypotenuse

sin25=2/AB

AB=2/sin25

AB=4.73

If two geometrical figures are congruent, then their corresponding sides are​

Answers

Answer:

congruent

Step-by-step explanation:

If two geometrical figures are congruent, then their corresponding sides are congruent.

How do you do this question

Answers

Answer:

helllo friend

Step-by-step explanation:

i dont know how to do it

greatest comman factor of 15 + 80

Answers

The answer is 5 hope this helps

Answer:

5

Step-by-step explanation:

15 has 2 factors 5 and 3

80 gets split into 16 and 5

then split into 8 and 2

then 2 and 4

then 2 and 2

the GCF therefore is 5

please help with math

Answers

Answer:

240 cm²

Step-by-step explanation:

Split the shape into a trapezoid (top half) and a rectangle (bottom half).

Area of a rectangle = width x length

⇒ area = 6.5 x 20 = 130 cm²

[tex]\textsf{Area of a trapezoid} = \frac{1}{2}(a+b)h[/tex]

(where a and b are the lengths of the base and top, and h is the height)

⇒ [tex]\textsf{area} = \frac{1}{2}(20+20)\times5.5[/tex]

⇒ area = 110 cm²

Total area = area of rectangle + area of trapezoid

⇒ area = 130 + 110 = 240 cm²

3(2x-7=5-(1-x) pls help me

Answers

Answer:

 3 • (2x - 7) -  (x + 4)  = 0

then do 3.1     Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  = 0

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

Step-by-step explanation:

Answer:

[tex] \sf \: x = 5[/tex]

Step-by-step explanation:

Given equation,

→ 3(2x - 7) = 5 - (1 - x)

Now the value of x will be,

→ 3(2x - 7) = 5 - (1 - x)

→ 6x - 21 = 5 - 1 + x

→ 6x - x = 4 + 21

→ 5x = 25

→ x = 25/5

→ [ x = 5 ]

Hence, the value of x is 5.

Question 18 Solve simultaneously x + y = 6 6x - 5y = 14 ​

Answers

Answer:

(4, 2)

Step-by-step explanation:

Given system:

x + y = 6 6x - 5y = 14 ​

Solve by elimination, multiply the first equation by 5 and add up equations:

5x + 5y + 6x - 5y = 5*6 + 1411x = 44x = 4

Find y:

4 + y = 6y = 6 - 4y = 2

Answer:

x = 4

y = 2

Step-by-step explanation:

Rewrite  x + y = 6  to make y the subject:  

⇒ y = 6 - x

Substitute y = 6 - x   into  6x - 5y = 14  and solve for x:

⇒ 6x - 5(6 - x) = 14

⇒ 6x - 30 + 5x = 14

⇒ 11x - 30 = 14

⇒ 11x = 44

⇒ x = 4

Substitute  x = 4  into  x + y = 6  and solve for y:

⇒ 4 + y = 6

⇒ y = 2

what is the distance between (-6,8) and (-3,9)

A) 4
B) 6
C) square root of 10
D) square root of 15

Answers

Answer:

I would say it is close to 4, but not 4.

Step-by-step explanation:

So I rounded the distance between the 2 plots with a line, and I got either 3.8 or 3.1

square root of 10 = 3.1

square root of 15 = 3.8

The picture is my graph I used to base it, so I would generally consider how close it is to 4 saying C. Square root of 10.

(I only chose 3.1 because I went up on the graph 3 squares with my line. It did not quite reach. I went 1/10(0.1) of a whole up further, and it resulted in the square root of 10 choice.)

How many lines are
perpendicular to AB?

A. 1
B. 2
C. 3

Answers

Perpendicular means that the lines essentially make a cross, so they are directly opposite

In this image, there is only one line that is perpendicular to AB (the middle line)

The answer is A. 1

You can ride your bike around your block four times and the whole neighborhood four times in 16 minutes. You can ride your bike around your block eight times and the whole neighborhood once in 11 minutes. How long does it take you to ride around the neighborhood?

Answers

Answer:

3 minutes

Step-by-step explanation:

if it takes 3 minutes to ride around your neighborhood it would make all of these statements true, it would mean that it takes 1 minute to ride in your block.


Consider the expression below
30b - 6C.
Factor the expression using the GCF.

Part B
What is the value of the expression
when b= --4 and c= 1?

Answers

Solution:

To factorize an expression, the minuend and the subtrahend must be divisible to a number.

=> 30b - 6c

In this case, 6 and 30 are divisible by 6, which is the GCF. The factorized form of the expression is:

=> 6(5b - c)

Now, if we substitute the values into the distributive property....

=> 6[5(-4) - 1]=> 6[-20 - 1]=> 6[-21]=> 6 x -21 = -126

Learn more about factorization: https://brainly.com/question/22097012

PLEASE HELP ME!!!!!!!!!!!

Answers

Answer:

3y

Step-by-step explanation:

Sqrt of 9 = ±3

-±3[tex]\sqrt{y^{2} }[/tex]

the square and sqrt cancel leaving you with -±3y

Since y < 0, the sqrt of 9 should be -3 to cancel out the - sign in front.

Hope that helps

What is - 1/4(-8x+12)???

Answers

Answer:

2x-3

Step-by-step explanation:

For this problem, we need to use the Distributive Property.

Use the Distributive Property:

[tex]-1/4(-8x+12)[/tex]

[tex]2x-3[/tex]

2x-3 is your answer.

help a friend outttt, it’s urgent. last two questions!!! I’ll brainlist you :)

Answers

Answer:

4c(4- 3g)

question 8

when factorised 16c-12cg is

4c Is common to both 16c and 12cg

so we bring out 4c

4c( 4- 3g)

question 4

from what I can see through the diagram the hypotenuse is 15 and the adjacent is 9 and we're asked to find titre

so we use the relation cos titre= adjacent/hypotenuse

cos titre= 9/15

cos titre=0.6

therefore titre is cos inverse of 0.6 which is 53.13

Here are the monthly charges of Jim’s mobile phone


Monthly charge £20

100 free minutes then 9p per minute

200 free texts, then 11p per text



During one month,Jim makes 140 minutes of calls and sends 261 texts



Workout the total charge for the month

Answers

40x9=£3.60
61x11=£6.71
£6.71+£3.60=£10.31
£20+£10.31=£31.31

For the given data the monthly charges for Jim’s mobile phone will be £31.31.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Monthly charge of £20,100 for free minutes then 9p per minute for 200 free texts, then 11p per text. During one month, Jim makes 140 minutes of calls and sends 261 texts.

If there are 100 free minutes then it cost 9p per minute as a result, The charge is applied for calls,

40x9=£3.60

If there are 200 free texts, then it cost  11p per text as a result, The charge is applied for text,

61x11=£6.71

The total charge for the text and call is,

£6.71+£3.60=£10.31

If the monthly charge is £20. The total charge for the month,

£20+£10.31=£31.31

Thus, for the given data the monthly charges for Jim’s mobile phone will be £31.31.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ5

Find the circumference of the circle below:

Answers

Answer:

Circumference: 62.83

Step-by-step explanation:

Formula:

2 • π • r

OR

2 • 3.14 • 10

Since the radius is 10, replace the r variable for 10 and complete the equation. Hopefully this helps!

Simplify This Equation!

Answers

Answer:

[tex]=5^{\frac{5}{6} }[/tex]

Step-by-step explanation:

[tex](\sqrt{5} )(\sqrt[3]{5} )=(5^{\frac{1}{2} } )(5^{\frac{1}{3} } )=5^{\frac{1}{2}+\frac{1}{3} } =5^{\frac{5}{6} }[/tex]

Hope this helps

Step-by-step explanation:

any root of a number can be written as fraction in the exponent of that number.

so, here, the square root of 5 is 5^1/2.

and the cubic root of 5 is 5^1/3.

what happens, when we multiply the same base number with exponents ?

a^n × a^m = a^(n+m)

and so we get here

5^1/2 × 5^1/3 = 5^(1/2 + 1/3)

how do we add fractions with different denominators ?

we bring them to the same denominator, usually by using the smallest (or least) common multiple of the existing denominators, which is 6 for 2 and 3.

so,

1/2 + 1/3 = 3/6 + 2/6 = 5/6

therefore, the simplified solution is

5^5/6

the first answer option is correct.

Calvin’s credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14. 75%. The following table details Calvin’s transactions in the month of September. Date Amount ($) Transaction 9/1 716. 54 Beginning balance 9/7 84. 94 Purchase 9/12 15. 69 Purchase 9/20 200. 00 Payment What will Calvin’s starting balance be next month? a. $617. 17 b. $624. 74 c. $625. 91 d. $623. 52.

Answers

Answer:

c. $625. 91

Step-by-step explanation:

The average daily balance totals each day's balance for the billing cycle and divides by the total number of days in the billing cycle. Then, the balance is multiplied by the monthly interest rate to assess the customer's finance charge—dividing the cardholder's APR by 12 calculates the monthly interest rate.

Choose all the fractions that are in simplest form.






Choose all the fractions that are in simplest form. 4/26, 10/22, 8/21, 9/10, 6/19

Answers

Answer:

8/21

9/10

6/19

that cuz they are already in their simplest from or

6 3/4 as a decimal number

Answers

Answer:

6.75.

Step-by-step explanation:

Remember:

Numbers, 2, 4, 5, 8, 10, 100, and 1,000 can only be decimals.

So, we do division:

(Without the whole number).3 ÷ 4= 0.75.6 + 0.75= 6.75.

6 3/4 = 6.75.

Answer :

[tex]6\frac{3}{4}[/tex]

= 6.75

10. A company finds that 45% of first-time visitors to its website do not buy any of its products. If there are 75 first-time visitors on a given day, what is the probability that exactly 36 of them buy a product? Round your answer to the nearest thousandth. Answer choices: 0.044 0.080 0.450 0.550

Answers

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.There are 75 first-time visitors on a given day, hence n = 75.

The probability that exactly 36 of them buy a product is P(X = 36), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044[/tex]

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Alicia invests £175 for n years into a savings account. Alicia was paid 2.5% per annum compound interest. At the end of the n years Alicia had £316.53 in the savings account. Work out the value of n.

Answers

The number of years it took the amount invested to accrue to £316.53 is  23.7 years.

What is compound interest?

Compound interest is when both the money invested and the money already accrued earn interest.

What is the number of years?

Number of years =  in(fv / pv) r

FV = future value

PV = present value

r = interest rate

(IN 316.53 / 175) / 0.025 = 23.7 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217

GUYS PLEASE HELP ME! Brainliest.

A dilation with a scale factor of 1/2 is applied to the three sides of Triangle ABC to
create Triangle A'B'C'.
The side lengths of Triangle ABC are: A = 4ft, B = 3ft, C = 5ft.
What are the lengths of the sides on the new Triangle A'B'C'?

A. A' = 8ft, B' = 6ft, C' = 10ft

B. A' = 2ft, B' = 1.5ft, C' = 2.5ft

C. A' = 3.5ft, B' = 2.5ft, C' = 4.5ft

D. A' = 4.5ft, B' = 3.5ft, C' = 5.5ft

Answers

Answer:

I think it's B or A. Im not sure. sorry if i'm wrong.

Add. Simplify your answer.

Answers

Step-by-step explanation:

Add the ones with like terms.

which means the ones with things in common.

4/5x^2 + 1/4x^2 i'm adding this first because we have x^2 on both sides.

(4/5 + 1/4)x^2

= (5+16/20)x^2

= (21/20)x^2

the next terms are those with x as common.

(1/4 +- 1/5)x...take the sign into consideration while dealing with the terms within the equations.

=(1/4 - 1/5)x

=(5 - 4/ 20)x

= (1/20)x

= (1 × x) / 20

= x/20.

last ones are the constant terms(numbers)

1/6 + 2/3

=12 + 3 / 18

= 15/18...we can simplify this one as well.

= 5 × 3 / 6 × 3

= 5/6.

Now write all the results as a one equation.

descending order starting from the highest degree which is 6/5x^2 --> 1/20x ---> 5/6.

21/20x^2 + x/20+ 5/6.

Triangle proportionality lesson 4 homework

Answers

Answer:

https://brainly.com/question/26694904

Step-by-step explanation:

this question has f.r.e.e points, answer is saying yes pls

Answer:

5. x = 8

11. x = 57.6

13. x = 11

15. x = 5

Step-by-step explanation:

In each part, I set up a proportion and cross multiplied to solve.

5. 4/3 = 2x + 4/x + 7

    x = 8

11. 25/30 = 48/x

    x = 57.6

13. 32/2x + 6 = 60/52.5

     x = 11

15. To find missing part: 35 - 20 = 15

     20/7x - 11 = 15/4x - 2

     x = 5

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