The library is 5 miles from the post office. How many yards is the library from the post office?

Answer:

£50 and £300

Step-by-step explanation:

Sum the parts of the ratio 1 + 6 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of ratio

Hence

1 person receives £50

the other person receives 6 × £50 = £300

To find the two shares in the given ratio, divide the total amount by the sum of the ratio. The first share is 1/7 of the total, while the second share is 6/7 of the total.

To find the two shares, we need to divide £350 into two parts using the ratio 1:6. To do this, we must first understand that the ratio sum is 1+6=7. The first share is 1/7 of the total amount, calculated as (1/7)*£350 = £50. The second share is 6/7 of the total amount, calculated as (6/7)*£350 = £300.

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Answer:

not sure what you need help on but im guessing:

7 > H, 3r-8

Hello!

Answer: (-6,8)

A coordinate graph might help.

Hope I helped in time!

Good luck!

~ Destiny ^_^

Answer:

the answer is b (-6,8)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Since the question says that it took her 45 minutes per hour, you can use that to find the distance of the route she took.  

45 miles: 60 minutes  

15 miles: 20 minutes ----------------cross multiply (20x45 and then divide by 60)  

Therefore, if she is going to use the same route in reverse, the distance would be 15 miles.  

Use the formula for speed:  

speed= distance/time  

= 15/0.5 ---------- 0.5 hours is the same as 30 minutes  

= 30

Answer:

First option: 30 miles per hour

Step-by-step explanation:

For the first scenario, we will convert the minutes into hours first to get all the quantities in same unit

So,

20 minutes = 1/3 hours = 0.33 hours

Now using the speed, distance and time formula

Speed = distance/time

[tex]Speed = \frac{distance}{time}[/tex]

[tex]45 = \frac{distance}{\frac{1}{3} }[/tex]

[tex]45 = 3 * distance[/tex][tex]\frac{45}{3} = Distance[/tex]

So the distance is 15 miles.

For returning through the same route

Time = 30 minutes = 0.5 hour

Distance = 15 miles

So,

[tex]speed = \frac{distance}{time}[/tex]

[tex]Speed = \frac{15}{0.5}[/tex]

Speed = 30 miles per hour

So first option is correct..

Answer:

Step-by-step explanation

i believe the answer is 300

100 times 60 cents would be 60.00$

the question states that the white balloons are half off making it 30 cents

300 times 30 is 90.00

90.00 plus 60.00 would be 150.00$

300 white balloons is what he may purchase

He can purchase 300 white balloons.

Wei can purchase 100 blue balloons for $60.00 (100 * $0.60). He has $150.00 - $60.00 = $90.00 left to spend on white balloons. Since the white balloons are on sale for half price, each white balloon costs $0.60 / 2 = $0.30. Therefore, Wei can purchase $90.00 / $0.30 = 300 white balloons. In total, he can purchase 100 blue balloons and 300 white balloons for the garland.

To calculate the number of white balloons Wei can purchase, we first find the total cost of the blue balloons, which is 100 * $0.60 = $60.00. Then, we subtract this from Wei's budget of $150.00 to find the remaining amount for white balloons: $150.00 - $60.00 = $90.00.

Since the white balloons are on sale for half price, each white balloon costs $0.60 / 2 = $0.30. We divide Wei's remaining budget by the cost per white balloon to find how many he can purchase: $90.00 / $0.30 = 300 white balloons.

So, Wei can purchase 100 blue balloons and 300 white balloons for the garland.

Complete question:

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.

Answer:

the answer is: [tex]5y^6 \sqrt{2}[/tex]

Step-by-step explanation:

We need to solve the equation:

[tex]\sqrt{50y^{12}}[/tex]

We know 50 = 2*5*5

2*5*5 can be written as: 2* 5^2

and √ = 1/2

Solving:

[tex]=\sqrt{2*5*5*y^{12}}\\= \sqrt{2*5^2*y^{12}}\\=(2)^{1/2}*(5^2)^{1/2}*y^{12}^{1/2}\\=(2)^{1/2}*5*y^6\\=5y^6 \sqrt{2}[/tex]

So, the answer is: [tex]5y^6 \sqrt{2}[/tex]

Using translation concepts, it is found that the equation of function F(x) is given by:

D. F(x) = (x - 3)² + 4.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is given by:

G(x) = x².

Then, these following translations happen:

Thus, the equation of function F(x) is given by:

D. F(x) = (x - 3)² + 4.

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Answer: [tex]A_{circle}=616cm^2[/tex]

Step-by-step explanation:

You can observe in the figure that the value of the diameter of the circle is

[tex]d=28cm[/tex]

Then, since you know the diameter , you can use this formula for calculate the area of the circle:

[tex]A_{circle}=\frac{\pi d^2}{4}[/tex]

Where "d" is the diameter.

Then, substituting  [tex]d=28cm[/tex] and  [tex]\pi =\frac{22}{7}[/tex] into the formula, you can estimate the area of the circle. This is:

[tex]A_{circle}=\frac{(\frac{22}{7})(28cm)^2}{4}[/tex]

[tex]A_{circle}=616cm^2[/tex]

Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?

I. 2

II. 12

III. 24

Answer:

4.0 is less than x is less than 12.0

Step-by-step explanation:

Answer:

(- 1, 0)

Step-by-step explanation:

The x- intercept is where the function crosses the x- axis.

The y- coordinate of any point on the x- axis is zero, hence

The point (- 1, 0 ) is the x- intercept

Answer:(-1,0)

Step-by-step explanation:

A quadrilateral has four sides

Answer:

A quadrilateral has four sides.

Example:

The following figures are quadrilaterals and have 4 sides.

Answer:

The dot is the center

the long line is the diameter

the circle is the circumference

the half way line is the radius

The parts of a circle include the center, radius, diameter, chord, arc, sector, segment, and circumference.

Answer:

35

Step-by-step explanation:

Note that the absolute value always produces a positive result

Given

| a² - 2ac + 5c | ← substitute in given values

= | (- 3)² - 2(- 3 × - 4) + (5 × - 4) |

= | 9 - 24 - 20 | = | - 35 | = 35

They give you the equation:

[tex]|a^{2} - 2ac + 5c|[/tex]

We know that:

a = -3

b = 2

c = -4

You can replace the variables with their corresponding values like this:

[tex]|(-3)^{2} -2(-3)(-4) + 5(-4)|[/tex]

You can then go on and do PEMDAS to solve this:

First the exponents:

[tex]-3^{2} = 9[/tex]

[tex]|9 -2(-3)(-4) + 5(-4)|[/tex]

Then you can multiply all that needs to be multiplied together from left to right:

[tex](-2)(-3)(-4) = (6)(-4) = -24[/tex]

[tex]|9 - 24 + 5(-4)|[/tex]

[tex](5)(-4) = -20[/tex]

[tex]|9 - 24 + (-20)|[/tex]

[tex]|9 - 24 -20|[/tex]

Now from left to right subtract:

9 - 24 = -15

[tex]|-15 -20|[/tex]

-15 - 20 = -35

[tex]|-35|[/tex]

^^^The | | mean to take the absolute value of the number. In other words make it positive

So the answer to this is 35

Hope this helped!

Answer:

4- [tex]7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2[/tex]

Step-by-step explanation:

In a standard polynomial degree drops from left to right

so , option 4 is correct.

[tex]7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2[/tex]

It would take the willy-nilly bike club 4 days to ride from one end of the trail to the other

By dividing the total distance of the trail (72 miles) by the distance the bike club covers each day (18 miles), we find it would take 4 days for the Willy-Nilly Bike Club to ride from one end of the Pine Scrub Rail Trial to the other.

To find out how many days it will take the Willy-Nilly Bike Club to ride the entire Pine Scrub Rail Trial, we will use division. This kind of mathematical problem is a practical application of division in real-life scenarios.”

The total length of the trail is 72 miles. If they cover 18 miles each day, we can divide the total miles by the miles they ride each day.

So, 72 ÷ 18 = 4 days.

Therefore, it will take the Willy-Nilly Bike Club 4 days to ride from one end of the trail to the other, assuming they ride 18 miles every day without taking any breaks.

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[tex]\frac{\sqrt{2 + \sqrt2}}{2}[/tex]

Answer:

Step-by-step explanation:

Note that 17pi/8 can be rewritten as 16pi/8 + 1pi/8.  16pi/8 represents 2 full rotations around the center and can be ignored if we just want the cosine of the angle 17pi/8.  We are left then with 1pi/8.

We need to find the cosine of this angle.  Note that 1pi/8 is 1/2 of 1pi/4, so this situation calls for use of the half angle formula

                     1 + cos Ф

cos Ф/2 = √(---------------).   Here Ф = π/4, and half that is ω = π/8, and the                                                                                            

                            2                                  cosine of π/4 is 1/√2.

                                         1 + 1/√2               √2 + 1            2 + √2

So we get cos pi/8 = √( -------------- )   = √ ------------- = √ ---------------

                                               2                      2√2                    4

Answer:

D

Step-by-step explanation:

Answer:

h = 12 units

Step-by-step explanation:

Area of a Parallelogram = base × perpendicular height  (A = b × h)

In the diagram above we can obtain the following:

(Please Note: the base of a parallelogram must be perpendicular to its height; in this case it is the side measuring 6 units that is perpendicular to the height)

Since A = b × h

    ⇒ A ÷ b = b ÷ b × h  (dividing both sides by b)

    ⇒ h = A ÷ b    (making h the subject of the eq'n)

thus  h = 72 unit² ÷ 6 units

            = 12 units

The value of x is 114 degrees.

X is a vertical angle with the given angle of 114.

This means X is also 114 degrees.

Answer:

your answer is:

(x-2)^2 +(y-2)^2=16

Hope this helps.

Brainliest plz :)

The standard equation of the given circle is (x-2)²+(y-2)²=16. This can be obtained by using the general equation of the circle.

The general equation of the circle is,

(x-h)²+(y-k)²=r² , where (h,k) is the center and r is the radius

                   (x-2)²+(y-2)²=4² ⇒ (x-2)²+(y-2)²=16

Hence the standard equation of the given circle is (x-2)²+(y-2)²=16.

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For this case we have a quadratic equation of the form:

[tex]ax ^ 2 + bx + c = 0\\x ^ 2 + 11x-4 = 0[/tex]

Where:

[tex]a = 1\\b = 11\\c = -4[/tex]

We find the roots:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\x = \frac {-11 \pm \sqrt {11 ^ 2-4 (1) (- 4)}} {2 (1)}\\x = \frac {-11 \pm \sqrt {121 + 16}} {2}\\x = \frac {-11 \pm \sqrt {137}} {2}[/tex]

The roots are:

[tex]x_ {1} = \frac {-11+ \sqrt {137}} {2}\\x_ {2} = \frac {-11- \sqrt {137}} {2}[/tex]

Answer:

[tex]x_ {1} = \frac {-11+ \sqrt {137}} {2}\\x_ {2} = \frac {-11- \sqrt {137}} {2}[/tex]

ANSWER

[tex]x = - \sqrt{ 7}i \: \: or \: \: x = + \sqrt{ 7}i[/tex]

EXPLANATION

The given expression is

[tex] {x}^{2} = - 11 + 4[/tex]

Simplify the left hand side to get:

[tex] {x}^{2} = - 7[/tex]

Take square root

[tex]x = \pm \sqrt{ - 7} [/tex]

[tex]x = \pm \sqrt{ 7} \times \sqrt{ - 1} [/tex]

Note that:

[tex] {i}^{2} = - 1 \implies \sqrt{ - 1} = i[/tex]

[tex]x = \pm \sqrt{ 7}i[/tex]

Split the plus or minus sign

[tex]x = - \sqrt{ 7}i \: \: or \: \: x = + \sqrt{ 7}i[/tex]

Answer:

B. -7y + 8x.

Step-by-step explanation:

(-4y - x) - (3y - 9x)

Distributing the negative over the second parentheses we get:

-4y - x - 3y + 9x

= -7y + 8x.

4 + √16-(4)(5)  / 2

Simplify the numerator:

4 + √16 -20   = 4 +√-4

Now you have 4 + √-4 / 2

Rewrite the -4 as -1 *4

4 + √ -1*4  / 2

Rewrite √-1*4 as √-1 * √4

√-1 = i

Now you have 4 + i * √4 / 2

√4 = 2

Now you have 4 + i * 2 /2

Divide the numerator by the denominator to get the final answer: 2 + i

Cody can play 12 games.

Answer:

Since A and B are independent:

P(A and B) = P(A) * P(B)

P(A and B) = 0.34 * 0.56 = 0.1904

* Hopefully this helps:)!!

Mark me the brainliest:)!!

~234483279c20~

Answer:

For Answer 7 its the first one   (x + 6) • (x - 7)

Step-by-step explanation:

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-x-42  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -42  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -42 = -42  

Step-2 : Find two factors of  -42  whose sum equals the coefficient of the middle term, which is   -1 .

     -42    +    1    =    -41  

     -21    +    2    =    -19  

     -14    +    3    =    -11  

     -7    +    6    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  6  

                    x2 - 7x + 6x - 42

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   6 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x+6)  •  (x-7)

            Which is the desired factorization

Final result :

 (x + 6) • (x - 7)

Answer:

A=$643.15

Step-by-step explanation:

We can use the formula

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

Now we can plug the information in the problem into the formula

[tex]A=540(1+\frac{0.06}{1} )^{(1)(3)}\\\\A=643.15[/tex]

Answer:

The amount after 3 year = $ 643.15

Step-by-step explanation:

Compound interest  formula:

A = P[1 +R/n]^nt

Where A - amount

P - principle amount

R = rate of interest

t - number of times compounded yearly

n  number of years

To find the amount after 3 years

Here P = $540, R = 6%, t = 1 and n = 3 years

A = P[1 +R/n]^nt

 = 650[1 + 0.06/1]^(3*1)

 = 540[1.06]^3

 = $ 643.15

Steps:

6(1)+1= 7

6(2)+1= 13

6(3)+1=19

6(4)+1= 25

7,13,19,25

Answer is third choice

ANSWER

7,13,19,25

EXPLANATION

The given rule is:

6n+1

When n=1,

We obtain 6(1)+1=6+1=7...This is the first term.

When n=2,

6(2)+1=13

When n=3, we obtain,

6(3)+1=19

When n=4:

We have :

6(4)+1=25

The third choice is correct.

Answer:

16.3 ± 0.8391

Step-by-step explanation:

The confidence interval is:

CI = x ± SE * CV

where x is the sample mean, SE is the standard error, and CV is the critical value (either t score or z score).

Here, x = 16.3.

The standard error for a sample mean is:

SE = σ / √n

SE = 1.5 / √25

SE = 0.3

The critical value is looked up in a table or found with a calculator.  But first, we must find the alpha level, the critical probability, and the degrees of freedom.

α = 1 - 0.99 = 0.01

p* = 1 - (α/2) = 1 - (0.01/2) = 0.995

df = n - 1 = 25 - 1 = 24

Since df < 30, we use a t-score.  Looking up in a t-table, we find the critical value is CV = 2.797.

Therefore:

CI = 16.3 ± (0.3 * 2.797)

CI = 16.3 ± 0.8391

The rate is 5.4 per month so in two months gains 10.8

Answer:

10.8 kg

Step-by-step explanation:

We are given that weight of young Sumo wrestler is given by

[tex]w(t)=80+5.4t[/tex]

We have to find the weight of wrestler gain in every months.

In order to find the weight gain in 2 month we will find out w(2)

Then, we get

[tex]w(2)=80+5.4(2)[/tex]

[tex]w(2)=80+10.8[/tex]

[tex]w(2)=90.8[/tex]

Weight gain in 2 month=90.8-80=10.8 kg

Hence,the wrestler gain 10.8 kg in every 2 months.