change 4 and 3/5 to an improper fraction
​

Answer:

Step-by-step explanation:

Remember:

So, we do division:

6 3/4 = 6.75.

Answer :

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

= 6.75

Answer:

we divide both 30 and 56 by the greatest common factor to get the following simplified fraction: 15/28 Therefore, this equation is true:

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:

convert 2 hours 45 mins to decimal:

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

For Archie

Now

for Jade

Avg speed:-

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

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

Product of two polynomials can be done by distribution of multiplication over addition. The product of  [tex]-2x^2(x+6)[/tex] is [tex]-2x^3 - 12x^2[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

[tex]-2x^2(x+6) = -2x^{2+1} -12x^2 =-2x^3 -12x^2[/tex]

It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]

Also, we've

[tex](-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve[/tex]

where -ve, +ve are sign of operands and result.

That's why [tex]-2 \times 6 = -12[/tex]

Thus,

The product of  [tex]-2x^2(x+6)[/tex] is [tex]-2x^3 - 12x^2[/tex]

Learn more about product of polynomials here:

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Answer:

Step-by-step explanation:

10? i believe so if not then one or two more

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

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:

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#SPJ5

The value of n is 20 from the given indices

Given the exponential function expressed as:

[tex]\[10^n = 10^{3}\sqrt{\dfrac{10^{31}}{0.001}}.\][/tex]

This can be further expressed as:

[tex]\[10^n = 10^{3}\sqrt{\dfrac{10^{31}}{10^{-3}}}.\\\[10^n = 10^{3}\sqrt{10^{34}\\10^n = 10^3\cdot 10^{17}[/tex]

Since the use are equal, add the exponents

[tex]10^n= 10^{3+17}\\10^n=10^{20}\\n=20[/tex]

Hence the value of n is 20 from the given indices

Learn more on indices here: https://brainly.com/question/10339517

Answer:

20

Step-by-step explanation:

Sin function goes up and down, standard amplitude is 1 unit. The sin function modelling the given situation is [tex]f(x) = 30\sin(\dfrac{\pi x}{5}) + 90[/tex]

Suppose that we've got

[tex]f(x) = a\sin(bx + c) + d[/tex]

It has got

The situation given has:

Maximum blood pressure as 120 mm/Hg = a + d

Minimum blood pressure as 60 mm/Hg = -a + d

Thus, adding both will give:

[tex](a+d) + (-a + d) = 120 + 60\\2d = 180\\d = 90[/tex]

Thus, as a + d = 120, thus, a = 120-d = 120 - 90 = 30

Now, The period is given to  be 10 minutes, or we get:

[tex]\dfrac{2\pi}{b} = 10\\\\b = \dfrac{\pi}{5}[/tex]

Since count started from 0, thus, c= 0

Therefore, the sine function modelling the given situation is:

[tex]f(x) = a\sin(bx + c) + d \\\\f(x) = 30\sin(\dfrac{\pi x}{5}) + 90[/tex]

Here x is the number of minutes passed.

Learn more about sine function modelling the situation here:

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Answer:

A

Step-by-step explanation:

Answer:

x=5, y=6

Step-by-step explanation:

Double the second equation to give you:

-2x+2y=2

Now we add the 2 equations to eliminate the y:

3x-2y=3

  +

-2x+2y=2

x=5

Now we substitute this value to give us:

3(5)-2y=3

15-2y=3

-12=-2y

y=6
You can substitute both these values in equation 2 to see if it works:

-x+y=1

-(5)+6=1 ✅

Answer:

The Answer Should Be 20

explanation:

Hope This Helps :)

Answer:

The answer is---

x=10

Step-by-step explanation:

(4x+9)+(7x+4)+57=180

11x+13+57=180

11x=110

x=10

Answer:

Option C

Step-by-step explanation:

280 sampling would be appropriate to survey 280,000 people

Please mark as Brainliest!!

3x14=42

110-42=68

So, Matry will have 68 dollars after 14 days. If you dont mind, mark me  brainliest?

Answer:

$58

Step-by-step explanation:

Per day- $3

14 days- 14($3)

so, 14 days he spends $52

Then, He had $110 originally, so to find how much he has left:

110-52=58

So, he has $58 now.

The cost the company budget on average for a gallon of fuel across its operations is given by: Option D: $3.70

A  random variable is usually taking some numerical information of each elementary event of the sample space . (map from sample space to real numbers). Its expected value is the best prediction value in most of the cases. It is the mean or average value of that random variable.

Supposing that the considered random variable is discrete, we get:

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i\\\\[/tex]

where [tex]x_i; \: \: i = 1,2,.. , n[/tex] is its n data values

and  [tex]f(x_i)[/tex] probability of [tex]X = x_i[/tex]

Percent counts the number compared to 100 whereas probability counts it compare to 1.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in probability)

If assuming that X = Fuel cost per gallon, then

E(X) = Average fuel cost per gallon that the company should budget (its per gallon, means for a gallon)

Using the tabulated value given in the problem, we get:

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i\\\\\\\\E(X) = 3.10 \times 0.2 + 3.5 \times 0.3 + 4.05 \times 0.5 = 3.695 \approx 3.70[/tex] (in dollars)

(we converted percentage to probability).

Thus, the cost the company budget on average for a gallon of fuel across its operations is given by: Option D: $3.70

Learn more about expectation of a random variable here:

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Answer:

D is the correct answer! ~Hope this helps!

Step-by-step explanation:

Work:

Answer:

35 milk chocolates

Step-by-step explanation:

5/12 for first bag

5 x 5 = 25

12 x 5 = 60

25/60

25 of the total chocolate are dark and there are only two types of chocolate in the bag (milk and dark)

60 - 25 = 35

Answer: there is no b and c so you cant find b and c

Step-by-step explanation:

Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

Suppose that the initial amount of investment is P

And the rate of simple interest is R% annually,

And the time of investment is T years.

Then, the amount of simple interest is calculated as:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

For the given case, let the initial investment Hannah made was of $P

Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536

Putting values in the above formula, we get;

[tex]I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800[/tex]

Thus,

The investment by Hannah was : Option A: $4800

Learn more about simple interest here:

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Answer:

x = 3

Step-by-step explanation:

3x+x+x+x-3-2=7+x+x

3x+x+x+x-x-x= 7 + 3 +2

3x+x = 12

4x = 12

x = 3

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

Answer:

first photo Answer12-4m secend 2.3/8y+6

Hi!

I will help you with joy!

Let's take a look at our pattern.

12, 11, 15, 14, _

Here, we subtract 1, then add 4, then subtract 1, then add 4.

Thus, the next number in the pattern will be 18.

12, 11, 15, 14, 18

The next number will be 17, and so on...

I hope it helps!

Ask me if you have any queries.

Misty ~

[tex]\bf{Grace}\sf{ful\rm{Teen[/tex]

Enjoy your day!

Answer:

8x² + 4x - 10

Step-by-step explanation:

     We will use the order of PEMDAS to solve

-> See attached

(6x+7) (3x-1) - (5x+3) (2x+1)​

   (6x+7) (3x-1) becomes 18x² - 6x + 21x - 7 which is equal too 18x² + 15x - 7

   (5x+3) (2x+1)​ becomes 10x² + 6x + 5x + 3 which is equal too 10x² + 11x + 3

(18x² + 15x - 7) - (10x² + 11x + 3)

   18x² - 10x² = 8x²

   15x - 11x = 4x

   -7 - 3 = -10

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

I don't think you are asking a math question, but in my opinion you should choose a leader that you think would be responsible in a group, then tell them what the group needs to do.

Step-by-step explanation:

Answer:

Train A = 299 tons Train B = 50 tons

Step-by-step explanation:
Train A = x

Train B = y

x+y = 349

x= y +249

Plug in one equation into another

y+249+y= 349

Simplify

2y+249=349

Subtract 249 from both sides

2y=100

Divide both sides by 2

y=50

Plug it into the x equation to solve for x

x+50=349

-50 from both sides

x=299

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.