Wyatt made a scale drawing of a picnic area near the river. The picnic area, which is 84 yards
long in real life, is 231 inches long in the drawing. What scale did Wyatt use?
11 inches : ? yards

Answer:

x= 0.9

step-by-step explanation:

LCM=3x

use the lcm to multiply each term

3x×1/3+3x×3=3x×3/x

cancel out

x+9x=9

10x=0

divide both side by the coefficient of x

10x/10=9/10

x=0.9

Answer:

[tex]\frac{-3}{3}[/tex]

Step-by-step explanation:

So we going to put them in the Rise Over Run fomula which is [tex]\frac{5-8}{-4-(-7)}[/tex] and we simplifying this which give us [tex]\frac{-3}{3}[/tex]

Part i) Simple interest = $600,000.00.

Part ii) Selling price = $2,900,000.00.

Part i) The formula for simple interest is;

SI = PRT/ 100

P = principal amount = $2,000,000.00.

R = rate of interest  = 15%

T = time in years = 2 years.

Put the value in the formula;

SI = ( $2,000,000 × 2 × 15)/100

On simplification;

SI = 600,000

Thus, the simple interest at the end of 2 years is $600,000.oo

Part ii) the selling price

Selling price = cost price + profit

Selling price = cost price + 45%of cost price

Cost price = $2,000,000.00

45%of cost price = 45× $2,000,000.00/100

45%of cost price = 900,000.00

Selling price = $2,000,000.00 + 900,000.00

Selling price = $2,900,000.00.

The the selling price of the fridge is found as $2,900,000.00.

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Answer:

8 quarters equal 2 dollars 11 dimes is a dollar and 10 cents so 3 dollars and 10 cents

Step-by-step explanation:

The record holder skips 83 times in 15 seconds

We refer to a ratio as constant if the number we multiply by remains constant throughout the series.

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part-to-part ratio, whereas the second is a part-to-whole ratio.

The World record for the most number of skips is 332 in 69 seconds.

Let's assume the record holder skipped at a constant ratio.

The proportion, if s is the number of skips:

skips / seconds = s / 15 = 332/60

s / 15 = 332 / 60

s = 332( 15/60 )

s = 332/4

s = 83

She skipped 83 times in the space of 15 seconds.

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Answer:angels

Step-by-step explanation:bea

Answer:

5(3n - 4)(3n - 10)

Step-by-step explanation:

15n² - 110n + 200 ← factor out 5 from each term

= 5(3n² - 22n + 40) ← factor the quadratic

consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × 40 = 120 and sum = - 22

the factors are - 12 and - 10

use these factors to split the n- term

3n² - 12n - 10n + 40 ( factor the first/second and third/fourth terms )

3n(n - 4) - 10(n - 4) ← factor out (n - 4) from each term

(n - 4)(3n - 10)

then

15n² - 110n + 200 = 5(n - 4)(3n - 10)

Answer:

Hello,

Step-by-step explanation:

[tex]15n^2-110n+200=15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )\\[/tex]

1. I am thinking about 2 numbers with sum=22/3 and product=40/3.

Those numbers are 4 and 10/3 since 4*10/3=40/3 and 4+10/3=22/3

[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n-\dfrac{10}{3} )(n-4)=5*(3n-10)(n-4)[/tex]

2.

[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n^2-2*\dfrac{11}{3} x+(\dfrac{11}{3})^2 -\dfrac{121}{9} +\dfrac{120}{9})\\\\=15((n-\dfrac{11}{3})^2 -\dfrac{1}{9})\\\\=15( n-\dfrac{11}{3} -\dfrac{1}{3})*(n-\dfrac{11}{3} +\dfrac{1}{3})\\=15(n-\dfrac{10}{3})(n-4)\\\\=5(3n-10)(n-4)\\[/tex]

3.

Using discriminant ...

We get the expression for the statement "The sum of eight and half of a number" as (16 + x) / 2.

We are given a statement:

The sum of eight and half of a number.

We have to form an expression for the same.

An expression means a combination of numbers and variables.

Let the number be a variable say x.

Now we need the half of a number.

1 / 2 of x = x / 2

Now we need the sum of 8 and x / 2.

So, it will be:

8 + x / 2

= (16 + x) / 2

Therefore, we get the expression for the statement "The sum of eight and half of a number" as (16 + x) / 2.

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Answer:

690

Step-by-step explanation:

The multiples of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57+60+63 which gives you 690.

Hope this helps, have a good day! :D

Answer: ∑=690

Step-by-step explanation:

Let's use the formulas for an arithmetic progression:

[tex]a_1=6 \ \ \ \ \ a_n=63\ \ \ \ d=3\\a_n=a_1+(n-1)d\\63=6+(n-1)3\\63=6+3n-3\\63=3+3n\\63-3=3+3n-3\\60=3n\\[/tex]

Divide both parts of the equation by 3:

[tex]20=n[/tex]

Thus,

[tex]\displaystyle\\\sum=\frac{a_1+a_n}{2} n\\\\\sum=\frac{6+63}{2}20 \\\\\sum=\frac{69*20}{2} \\\\\sum=69*10\\\\\sum=690[/tex]

Answer:

Step-by-step explanation:

1 box costs x amount

18 boxes cos 223.20

Cross multiply

223.20 * 1 = 18 x

Divide by 18

223.20 / 18 = 18x / 18

x = 12.40

Cost of 1 box is 12.40

Answer:

It should be 199.20 for 16 boxes

Step-by-step explanation:

I divided 273.90 by 22 which came out to 12.45

so then i multiplied 12.45 by 16 and it gave me 199.20

12 posts are required to support a straight fence 300 feet long if a post is placed every 25 feet.

The given question can be solved using division. We are given that 25 feet is covered by 1 post. So, we will simply find the number of posts that will cover the 300 feet long fence. Now, calculating the number of posts as shown in steps below -

Number of post that covers 25 feet = 1

So,  300 feet will be covered by number of posts = (1÷25)×300

Performing multiplication and division to find the number of posts required to cover 300 feet long fence

Number of posts required to cover 300 feet long fence = 12 posts

Hence, 12 posts are required to cover 300 feet long fence.

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The distance between the center of the circle to any point in the circle is called the radius of the circle. The student staying in the lounge connected to the said wifi will be in the range of the wifi.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

The distance between the center of the circle to any point in the circle is called the radius of the circle, while the diameter is twice this distance.

Given that the range of the router, which services the wifi connection of the school has a diameter of 3.5 meters. Therefore, the radius of the wifi will be,

Radius = Diameter/2 = 3.5 meters / 2 = 1.75 meters

Now, it is also given that a router is located in the school library which is 1.5 meters away from the student lounge. Therefore, the distance between the school library and the lounge is less than the radius of the range of the wifi.

Thus, the student staying in the lounge connected to the said wifi will be in the range of the wifi.

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Answer: 1

Step-by-step explanation:

[tex]\displaystyle\\\frac{14}{33} *\frac{55}{8} *\frac{12}{35} =\\\\\frac{14*55*12}{33*8*35}=\\\\\frac{2*7*5*11*3*4}{3*11*2*4*5*7}=\\\\\frac{1}{1}=\\\\1[/tex]

Answer:

165

Step-by-step explanation:

x² + 8x + 12 =

= (9)² + 8(9) + 12

= 81 + 72 + 12

= 153 + 12

= 165

Answer:

-165

Step-by-step explanation:

(-9)2+8×-9+12

-81-72+12

-81-84

-165 answer.

(rand() % 6) + 1 is the expression randomly rolls one dice, directly yielding one of those values.

Small objects (polyhedrons) used as playing pieces for dice games and other gambling-related activities. The cube, the most popular type of die, has one to six tiny dots on each side (spots). The spots are positioned in the following traditional patterns: 1 and 6, 2 and 5, 3 and 4, so that spots on opposite sides always sum up to 7. The poker and crown and anchor dice, as well as many other types of dice with 4, 5, 7, 8, 10, 12, 16, and 20 sides, are examples of dice with different configurations of spots or other face designs. The majority of the time, dice are employed to generate a random outcome (usually a number or a mixture of numbers), and the mathematical probabilities depend on the physical characteristics and quantity of dice thrown.

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The linear equation for both Uber and Lyft  will be Y = 0.75x + 3 and

Y = 0.5x + 5 .

A linear equation is an algebraic equation of the form y = mx+b. Involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Here we have,

Uber charge $3 fix on every trip and additional charges on per mile $0.75

So, linear equation be

Y = 0.75x + 3 where, x = no. of mile covered

Similarly, lyft charge $5 fix and $0.5 as an additional

So, linear equation be

Y = 0.5x + 5 where, x = no. of mile covered

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Answer:I would say c

Step-by-step explanation: because it is the only one that makes sense

Anna's weight is 115 pounds and Janet's weight is 135 pounds.

To find the wight of Anna and Janet:

It is assumed:

Also,

So,

Subtraction of both sides by 20 yields:

By dividing both sides by 2, we get:

So, Anna's weight is 115 pounds and Janet's weight is 115+20=135 pounds.

Therefore, Anna's weight is 115 pounds and Janet's weight is 135 pounds.

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The function F to be used to convert the temperature is; F = ⁹/₅C + 32

From the given information, we can tag the coordinates as;

(32,0) and (212,100)

Thus, the slope is calculated as;

m = (100-0)/(212-32)

m = 100/180

m = 5/9

The intercept is;

c = y - mx

c = 0 - (5/9)(32)

c = 0 - 160/9

c = -160/9

The line equation is;

y = 5/9 x + (-160/9)

y = 5/9 x - 160/9

y = 5/9 (x - 32)

Let x = F and y = C and we have;

F = ⁹/₅C + 32

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Answer:

Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.

Step-by-step explanation:

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We need to know about cube-root function and reflection to solve this problem. The function is f(x)=[tex]-\sqrt[3]{x-4}[/tex]

A cube-root function is the inverse of a cubic function, a cubic function can be given by f(x)=[tex]x^{3}[/tex], the inverse of this is a cube-root function which can be given by f(x)=[tex]\sqrt[3]{x}[/tex] with vertex at (0,0). The general formula for a cube root function is given be

f(x)=a[tex]\sqrt[3]{x-h} +k[/tex] where a is the measure of how horizontally compressed the graph is and (h,k) is the vertex of the graph. In the question we have to find a cube root function which has been reflected about the y-axis, which means our a will be negative. The vertex of the graph is at (4,0) so (h,k) is (4,0). Thus the cube root function we need is

f(x)=-[tex]\sqrt[3]{x-4}[/tex]

Therefore we found the cube root function that has been reflected about y-axis and the vertex at (4,0) to be  f(x)=[tex]-\sqrt[3]{x-4}[/tex]

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Using a system of equations, it is found that:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The total invested is of $36,000, hence:

x + y = 36000.

The amount invested in bonds is to to exceed that in CDs by $5,000, hence:

x = y + 5000.

Replacing in the first equation:

y + 5000 + y = 36000.

2y = 31000

y = 15,500.

x = y + 5000 = 20,500.

Hence:

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Answer:

-9.5

Step-by-step explanation:

Answer:

5a-40=-2b

5a-40/-2=-2b/-2

-5a/2+20=b

Harper will receive £1800 as his own share of the total money

Nylah and harper both share £2700

let x represent Nylah share

let 2x represent harper share

x + 2x= 2700

3x= 2700

divide both sides by the coefficient of x which is 3

3x/3= 2700/3

x= 900

Since harper share is 2x, let's substitute 900 for x

2(900)

= 1800

Hence harper share is £1800

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Madelyn reads at the rate of 33.75 pages per hour.

Here rate is defined as the number of pages read per hour. Rate or unit rate is defined as the quantity that is done in 1 unit of time(second, minute or hour). Distance per time is called speed. Velocity per time is called acceleration.

Here it is given Madelyn reads 45 pages in [tex]1\frac{1}{3}[/tex] hours.

Now to find the unit rate we have to divide the number of pages read in the total time taken to read 45 pages.

Unit rate= [tex]45\div 1\frac{1}{3}[/tex]

[tex]=45\div \frac{4}{3}\\=\frac{135}{4} \\=33.75[/tex]

Madelyn reads at the rate of 33.75 pages in 1 hour .

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