Help me solve this problem please

9514 1404 393

Answer:

  13

Step-by-step explanation:

Let n represent that number.

  (2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator

  6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)

  12 +6n = 25 +5n . . . . . . . . . eliminate parentheses

  n = 13 . . . . . . . . . . . subtract 5n+12

Adding 13 to each term will give 5/6.

__

Check

  (2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6

_____

Alternate solution

The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.

Step-by-step explanation:

Claim: There's 14 Goats and 9 Chickens!!

Data:

Working with the Provided Information.

Let the Number of goats be x

let the Number of Chickens be y

x + y = 23..... (i)

Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.

The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y

4x + 2y = 74 .....(ii)

BRINGING BOTH EQUATIONS TOGETHER.

x + y = 23

4x + 2y = 74

From Eqn i

x= 23 - y

Substitute into eqn ii

4(23 - y ) + 2y = 74

92 - 4y + 2y = 74

92 - 2y = 74

2y = 92 - 74

2y = 18

y= 9.

Substitute y into any of the eqns to get x

x + y = 23

x + 9=23

x = 23 - 9

x = 14

This simply proves that there are 14 Goats and 9 Chickens!!!.

HAVE A GREAT DAY!

Answer:

H0 : μ ≤ x

H1 : μ > x

The hypothesis :

The null hypothesis, H0 : μ ≤ x

The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;

The alternative hypothesis, H1 : μ > 8

For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.

Let the population mean value = x

The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :

H1 : μ > x

Answer:

acute angle.

Step-by-step explanation:

because it is 60 degree

Nếu AOB là một đường thẳng thì góc BOC =90°

Answer:

Step-by-step explanation:

Amount of work done by 15 men is:

Same work can be done by 25 men, in 15 days, so 10 more men should be added.

Answer:

Its 6

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

There are a total of 24 marbles. If you take out 8 of them, that leaves you with 16 marbles left. After doing that, if the chances of withdrawing a white marble are now 1/4, then there would have to be 4.

4/16 = 1/4

Answer:

1) 11

2) -8

3) 30

15) 80x - 128

16) 138y

Step-by-step explanation:

For these problems, you will need to use either PEMDAS or distributive property.

PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.

Example of PEMDAS:

2) 8(-3 + 2)

Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.

-3 + 2 = -1 so the problem will now look like:

8 (-1)

Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:

8 × -1 = -8

-8

Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.

Example of distributive property:

2) 8(-3 + 2)

Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:

8 × -3 and 8 × 2

The problem should look like:

-24 + 16

Then solve:

-8

Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.

1)

11(5) - 11(4)

55 - 44

11

3)

6(9) - 4(6)

54 - 24

30

15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*

16(5x - 8)

80x - 128

*You can only combine like terms so this is fully simplified*

16)

23y(2 + 4)

46y + 92y

138y

Answer:

B

Step-by-step explanation:

when logarithms of the same base (the base in this case is 'b') are being subtracted, divide the arguments ( 'a' and 'd')

Hi! I ran into a similar problem so i will try, but sorry if i get it wrong, so basically all you do i

Answer:

(28x+16)cm

Step-by-step explanation:

2(8x+2)+2(6x+6)

16x+4+12x+12

28x+16

Perimeter = 2(Length + Breadth)

Perimeter = 2(6x + 6 + 8x + 2) cm

Perimeter = 2(14x + 8) cm

Perimeter = 28x + 16

Answer:

ok

Step-by-step explanation:

ok

Answer:

Step-by-step explanation:

C(3 , -2)   & D (7, -8)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]CD = \sqrt{(7-3)^{2}+(-8-(-2))^{2}}\\\\=\sqrt{(7-3)^{2}+(-8+2)^{2}}\\\\=\sqrt{(4)^{2}+(-6)^{2}}\\\\=\sqrt{16+36}\\\\=\sqrt{52}\\\\[/tex]

≈ 7.2 units

Answer: $120

First, create a function

[tex]\left \{ {{5a+b=45} \atop {12a+b=80}} \right.\\\\(5-12)a+(1-1)b=45-80\\\\-7a=-35\\\\a=\frac{-35}{-7} =5\\\\5a+b=45\\\\5(5)+b=45\\\\b=45-25=20[/tex]

Therefore, the function is y = 5x + 20

To find the amount of money at week 20, set x = 20 and solve:

[tex]y=5(20)+20=100+20=120[/tex]

Therefore, the answer is $120.

Answer:-

[tex]\boxed{\sf \sqrt{x^2+y^2}}[/tex]

Explanation:-

We know distance formula

[tex]\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{(0-x)^2+(0-y)^2}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{(-x)^2+(-y)^2}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{x^2+y^2}[/tex]

Answer:

D. (7×10) + (3×3) + (2×1)

Step-by-step explanation:

(7×10)=70 + (3×3)=9 + (2×1)=2

=70+9+2

=792

Answer:

No

Step-by-step explanation:

The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.

The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.

Hope this helps :)

Answer:

202.5

Step-by-step explanation:

[tex]\frac{L}{45}[/tex] = [tex]\frac{90}{20}[/tex] → [tex]\frac{L}{45}[/tex] = [tex]\frac{9}{2}[/tex]

9 x 45 = 405 → 2L=405

L=[tex]\frac{405}{2}[/tex] → L = 202.5

The Pascal triangle terms and binomial are related by the binomial theorem fomrula:

The row of the Pascal triangle is the same as

where n is the same as the row of the Pascal triangle.

For example,

.

is the same as the 2nd row of the Pascal triangle.

.

Also know the leading coefficient and last term degree will be the nth row of the Pascal triangle.

The first term, a will be 1 less than the previous terms and the second term, b will be 1 more than the previous terms. For example, look at

.

Another example is

.

The third row of Pascal Triangle

.

.

Pascal's triangle provides a systematic way to determine the coefficients of binomial expansions, making it a valuable tool in algebra and combinatorics.

Binomial expansions are directly related to Pascal's triangle.

Pascal's triangle is a triangular arrangement of numbers in which each number is the sum of the two numbers directly above it. The first and last numbers in each row of Pascal's triangle are always 1.

The coefficients of the terms in a binomial expansion correspond to the numbers in Pascal's triangle. Each row of Pascal's triangle represents the coefficients of the corresponding power of the binomial.

For example, in the expansion of (a + b)², the coefficients are 1, 2, and 1. These coefficients can be found in the third row of Pascal's triangle: 1, 2, 1. Similarly, in the expansion of (a + b)³, the coefficients are 1, 3, 3, and 1, which can be found in the fourth row of Pascal's triangle: 1, 3, 3, 1.

In summary, Pascal's triangle provides a systematic way to determine the coefficients of binomial expansions, making it a valuable tool in algebra and combinatorics.

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Answer:

the third option

Step-by-step explanation:

the 5 pounds weight at birth is the starting value.

so, the function needs to have a constant part of at least +5.

and every month 0.5 pounds are added.

that is exactly the situating to use multiplication : weight gain per month times the number of months (plus the starting value of 5 pounds) delivers the weight after a certain number of months.

w = weight after t months

t = number of months measured

Answer:

D

Step-by-step explanation:

This isnt a cartisean coordinate plane so A is wrong. One of our points is at

[tex] - 3 + i[/tex]

Because it coincide with real number 3, and negative imaginary number i.

Conjugates are terms with opposite inverse of terms.

So our conjugates is

[tex] - 3 - i[/tex]

Answer:

f(x)=2x-4

f(1)=2(1)-4

=2-4

f(1)=-2

Answer:

.93 calories per serving

Step-by-step explanation:

220 ÷ 3 = 73.3333333 calories per serving

3 ÷ 220 = 0.0136363636

362 ÷ 5 = 72.4

5 ÷ 362 = 0.0138121547

73.3333333 - 72.4 = 0.9333333 = around .93

Answer:

A = 60 m^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 (20)*6

A = 60 m^2

Answer:

continuously is the most, and what is actually done at the banks...

as for your answer:

Compounded monthly

Step-by-step explanation:

When investing money in a bank account, you will have the most money in your account at the end of three years when compounded monthly.

Compound interest is the interest you earn on interest.

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

Where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

To check in which situation we will earn the most money in end of  three years, we calculate the final amount in each situation keeping other variables constant.

Let

P = 5000

r = 5%

t = 3 years

When compounded annually,

[tex]A = 5000(1 + 0.05)^{3} = 5788.125[/tex]

When compounded semiannually,

[tex]A = 5000(1 + 0.025)^{6} = 5798.467[/tex]

When compounded quarterly,

[tex]A = 5000(1 + 0.0125)^{12} = 5803.772[/tex]

When compounded monthly,

[tex]A = 5000(1 + 0.0125)^{12} = 5807.361[/tex]

Thus, it can be said that you have the most money in your account at the end of three years when compounded monthly.

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Answer:

1394

Step-by-step explanation:

Set up equation to find the number:

Variable n = number

65/100 = 1105/n

Cross multiply:

65 × n = 100 × 1105

65n = 110,500

n = 1700

Check your work:

1700 × 65%

Convert percentage into decimal:

1700 × 0.65

1105

Correct!

Find 82% of 1700:

Variable x = 82% of 1700

82/100 = x/1700

82 × 1700 = 100 × x

139,400 = 100x

1394 = x

Check your work:

1700 × 82%

1700 × 0.82

1394

Correct!

The 82% of the original number (1700) is approximately 1394.

Let's denote the original number as N. We know that 65% of N is equal to 1105. We can write this as:

65% of N = 0.65 * N = 1105

Now, to find the value of N, we can rearrange the equation to solve for N:

N = 1105 / 0.65

Now, calculate the value of N:

N ≈ 1700

So, the original number N is approximately 1700.

Next, we need to find 82% of this number. We can express this as:

82% of N = 0.82 * N

Now, substitute the value of N:

82% of 1700 = 0.82 * 1700

                     ≈ 1394

Thus, 82% of the original number (1700) is approximately 1394.

To summarize, first, we found the value of the original number (N) using the given information that 65% of N is equal to 1105. Then, we calculated 82% of N, which turned out to be approximately 1394.

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Answer:

7.50

Step-by-step explanation:

Take the total cost and divide by the number of pizzas

22.50/ 3 pizzas

7.50 per pizza

[tex] \rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \frac{Cost \: \: of \: \: 3 \: \: pizzas }{Total \: \: pizzas }[/tex]

[tex]\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \frac{22.50 }{3 } \\ [/tex]

[tex]\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \cancel\frac{22.50 }{3 } \: \: ^{7.5} \\ [/tex]

[tex]\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \: 7.5 [/tex]

Hence, the cost of 1 pizza is $7.5

Answer:

Step-by-step explanation:

: v

Answer:

(x + 10)² = 4

Step-by-step explanation:

Given

2x² + 192 = - 40x ( add 40x to both sides )

2x² + 40x + 192 = 0 ( subtract 192 from both sides )

2x² + 40x = - 192 ( divide through by 2 )

x² + 20x =- 96

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(10)x + 100 = - 96 + 100

(x + 10)² = 4

Answer:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

y

=

0

+

5

y

=

5

Or

(

0

,

5

)

For:

x

=

−

2

y

=

−

2

+

5

y

=

3

Or

(

−

2

,

3

)

We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

The boundary line will be solid because the inequality operator contains an "or equal to" clause.

graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line.

graph{(y-x-5) >= 0 [-20, 20, -10, 10]}

Answer:

the real is -19

the imaginary is -24 (or -24i depending on what the computer is looking for as an answer)

Step-by-step explanation: