Bonnie measured a city and made a scale drawing. a neighborhood park is 115 inches long in the drawing. the actual park is 138 yards long. what is the scale of the drawing? 5 inches : _ yards

Answer:

[tex]\boxed{a} \quad \boxed{|b - c|} \quad \boxed{|a - b|} \quad \boxed{|a - c|}[/tex]

Step-by-step explanation:

The bars either side of an expression or a value are the absolute value symbol.  "Absolute value" means how far a number is from zero.   Therefore, the absolute value of a number is its positive numerical value.  

The values of a, b and c are negative. All expressions except "a" are absolute values, and are therefore positive numerical values. Therefore, "a" is the least expression.

The simplest way to calculate each expression's numerical value is by assigning approximate numbers to each value, then carrying out each calculation.

From inspection of the graph:

[tex]\begin{aligned} \implies |a - b| & \approx |-3.8 - (-1.3)|\\ & = |-2.5| \\ &= 2.5\end{aligned}[/tex]

[tex]\begin{aligned} \implies |b - c| &\approx |-1.3 - (-0.7)| \\ &= |-0.6| \\ &= 0.6\end{aligned}[/tex]

[tex]\implies a \approx -3.8[/tex]

[tex]\begin{aligned} \implies |a - c| &\approx |-3.8 - (-0.7)| \\ &= |-3.1| \\ &= 3.1\end{aligned}[/tex]

Therefore:  -3.8 < 0.6 < 2.5 < 3.1

Hence, the expressions from least to greatest are:

[tex]\boxed{a} \quad \boxed{|b - c|} \quad \boxed{|a - b|} \quad \boxed{|a - c|}[/tex]

Answer:

12.5

Step-by-step explanation:

-3\4÷[-0.06]

convert -0.06to fraction

-3\50

then divide

-3\4÷-3\50

sign changes

-3\4 ÷ 50\3

=50\4

=12.5

Answer:

Ramu's sister's Age= 28

ramus age=×

28=5×+3

5×=28-3

=25

×=25/5

×=5

so the age of Ramu is 5 years old.

Answer:

25 because 5×5= 25 and 25+3=28 so ramu's age is 25

Answer:

24%

Step-by-step explanation:

[tex]16.12 - 13 = 3.12\\3.12 * 100 = 312 \\312 / 13 = 24[/tex]

24% more chocolate

1.00 + 0.24 = 1.24

13 * 1.24 = 16.12

Answer:

1. (3 + 7) ÷ 2 = 5

2. (4 + 9) x 3 = 39

3. 10 ÷ (4 x 5) = 1/2

4.(1 + 2) ÷ 20 = 3/20

Answer: -5j+15

step by step equation

0.6004 is standard deviation of equation .

Why is there a standard deviation?

=0.6004$P(120≤X≤153)=0.6004​

The mean is μ=147, and the standard deviation is σ=16.

0.6462−0.0458=0.6004.

Thus, P(120≤X≤153)=0.6004.

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The inverse of the given function, y = 16x² + 1 is: B. y = ±√(x - 1)/16

In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function (f(x)).

Generally speaking, a given function (f(x)) and its inverse function has the following property f⁻¹(f(x)) = x.

In order to determine the inverse of the given function, we would interchange input value (x) and the output value (y) as follows:

y = 16x² + 1

x = 16y² + 1

Subtracting 1 from both sides, we have:

16y² + 1 - 1 = x - 1

16y² = x - 1

Dividing both sides by 16, we have:

y² = (x - 1)/16

Taking the square root of both sides, we have:

y = ±√(x - 1)/16

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The two numbers are 10 and 6.

Now, let's take the larger number to be x and the smaller number to be y.

According to the question,

We have the following details:

The difference between two numbers = 4

So, we have the following expression:

(x-y) = 4 .... (1)

The sum of the smaller number and three times the larger number = 36

So, we have the following expression:

(3x+y) = 36 ....(2)

Now, we will use the elimination method to solve these equations. So, we will add equation 1 and 2.

(Please note that the left hand side is added to the left hand side and the right hand side numbers are added to the right hand side numbers.)

(x-y+3x+y) = (4+36)

4x = 40

x = 40/4 (4 is in multiplication on the left hand side. So, it is in the division on the right hand side.)

x = 10

Now, putting the value of x in equation 1,

(x-y) = 4 .... (1)

(10-y) = 4

-y = 4-10

-y = -6

y = 6

Hence, the larger number is 10 and the smaller number is 6.

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Answer:

Step-by-step explanation:

Problem 12:

r(x) = 2

Since x will always be 2, it will always be a straight line.

Problem 14:

(I'm assuming the square is on the x)

g(x) = x^2-3

First, start on the y-intercept, and go down 3 as the starting value is -3. You can then substitute a number to find the next point.

For example, if you want to find if x = 1, what y will be:

1^2-3

1-3

-2

You can then do this for the rest of the points to the point.

Answer:

The Answer is 1 1/8

Step-by-step explanation:

When Stanley ate 3/8 of a pizza and his brother ate 3/4 of a pizza, the amount eaten in all is 1 1/8 of the pizza.

A fraction simply means a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Stanley ate 3/8 of a pizza and his brother ate 3/4 of a pizza.

Therefore, the amount eaten by both of them will be:

= 3/8 + 3/4

= 3/8 + 6/8

= 9/8

= 1 1/8.

The amount is 1 1/8.

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Given the algebraic expression 3x⁴ - 5x + 2, each of following represents:

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.

In Mathematics, a coefficient simply refers to a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.

In conclusion, an exponent is an operation that raises a numerical value or quantity to the power of another and it is generally written as bⁿ.

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m=x1+x2/2 or m=y1+y2/2

hope you understand

In the picture there are 2 problems. The similarity is they two have to find 2 question. The difference is given question are different.

Given that,

In the picture there are 2 problems.

We have to find the difference and similarities of question in the picture.

The similarities are they 2 are word problems.

Another similarity is they two have to find 2 question.

1. How much money for 10 days and How many days to collect the money $1.05?

2.How much gallon of water need for 50 minutes and How much time take to fill the pool?

Another similarity is they two have to justified the answer in a mathematical model.

Now,

The difference is,

First question has given sisters and money problem where as the second has given pool and gallon water problem.

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Answer:

Yes, the relation {(3,2), (4,1), (5,9), (6,12), (7,12)}is a function.

Step-by-step explanation:

Answer:

It's a triangle just like you, except you're acute one.

Step-by-step explanation:

actually the number is "x", which oddly enough is the 100%, so we know that 45% of "x" is 99, what is "x" anyway?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 99& 45 \end{array} \implies \cfrac{x}{99}~~=~~\cfrac{100}{45} \\\\\\ \cfrac{x}{99}=\cfrac{20}{9}\implies 9x=1980\implies x=\cfrac{1980}{9}\implies x=220[/tex]

The maximum that the company can expect for returned items is C. $5972.65

From the information, the average daily profit of an electronics store is $31,435 and the company estimates that 15% is lost each day to returns, with a margin of error of ±4%.

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.

The maximum the company can expect for returned items will be:

= (15% + 4%) × Profit

= 19% × $31,435

= 0.19 × $31,435

= $5972.65

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Answer: -5x >[-3x,4x,1.5x] 10>[11] 6xy>[-7.85xy, -98xy, 155xy]

Step-by-step explanation:

The equation of the line in slope intercept form with slope 1/3 and passes through ( - 6, 0) is y = 1/3x + 2.

In mathematics, the slope or gradient of a line is a number that indicates the line's steepness as well as its X and Y directions. The letter "m" stands for slope. The ratio of the "vertical change" to the "horizontal change" between any two separate points on a line is used to compute the slope.

The equation of the line in point-slope form is expressed as:

y - y₁ = m( x - x₁ )

where m is the slope.

So, m = 1/3

( x₁, y₁ ) is the point on the line = ( - 6, 0)

Substituting the values,

y - 0 = 1/3( x + 6 )

y = 1/3( x + 6 )

y = 1/3x + 6/3

y = 1/3x + 2

Hence, the equation in slope-intercept form of the line is y = 1/3x  + 2.

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Answer:

Below in bold.

Step-by-step explanation:

The relation between the height of the ladder and distance from the ground is given by Pythagoras Theorem:

h^2 = 13^2 - L^2

h = (169 - L^2)^1/2

Finding the derivative:

dh/dL = 1/2(169 - L^2)^-1/2 * -2L

         = -L / (169 -L^2)^1/2

dL/dt = 6

So, dh/dt = dh/dL * dL/dt

               = -6 * L/ (169 - L^2)^1/2

               = -6 * 12 / (169 - 12^2)^1/2

                = -72/5 ft /second

                 = -14.4 ft/second.

It's negative because the distance from the ground is decreasing.

Anna uses 120 g of chocolate and 360 grams of margarine to needed to bake biscuits.

We have data as follows; To make 24 biscuits Anna uses following proportion of Ingredients;

80 g sugar

120 ml syrup

200 g oats

120 g margarine

40 g chocolate

Now We can analysis that anna uses 40 g chocolate to make 24 biscuits

So for 120 g of chocolate Anna can bake [tex] \frac{24(120)}{40}  [/tex]

=  24 (3)

= 72 biscuits

∴ Anna can bake 72 biscuits if she uses 120 g of chocolate.

We want to find how many grams of margarine will she need to make 72 biscuits and this can be done as follows;

Ingredients for 24 biscuits require 120 g margarine

∴ For 72 biscuits anna require [tex] \frac{72(120)}{24}  [/tex] g of margarine

= 3 (120)

= 360 g of margarine.

Hence 360 grams of margarine anna needed.

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The Compound Interest of Principle 2000 will become 2420 within 2 years when the rate of interest is 21%

Compound interest = P(1 + R ÷ 100) to the power of n,

where P = Principle

           R = Rate of Interest

           n = no. of years

According to the given question,

Principle(P) =Rs2000

Rate of interest (R) =?

no. of years(n) = 2 years

given CI (Compound Interest) = Rs2420

CI = 2000(1 + R ÷ 100)² = 2420

    = 20(100 +R) = 2420

    = 100 + R = 2420 ÷ 20

    = 100 + R = 121

    = R = 121 - 100

    = R = 21%

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Answer:

Step-by-step explanation:

Expand · Evaluate Fractions · Linear Equations · Quadratic Equations ... 7 + 4 s = 10 ( 6 - 9 s ). 7+4s=10(6−9s) ... 7 + 4 s = 10 ( 6 - 9 s ).

Answer:

-10b × 90

Step-by-step explanation:

-10 * b =-10b

10 *9=90

Your welcome :)

Answer:

807

Step-by-step explanation:

because u multipy 3x19x14+18/2 and u get 807

Answer:

807

Step-by-step explanation:

3*19*12=798

18/2 = 9

798 + 9 = 807

Answer: B

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\=\frac{x}{2}-3+4x^2 +x-4\\\\=4x^2 +\frac{3x}{2}-7[/tex]

Answer: Option D

Step-by-step explanation:

Step-by-step explanation:

As we know domain of a function is represented by x values on the graph and y values represents the range of the function.

From the given table domain will be the set of all real numbers.

Range of the same function will be y > 4

Option D is the answer. there you go o(*￣︶￣*)o it was hard to but now its easy

Christopher would be able to purchase 3 oranges but if the grocery store only sells them in bags of 4 then he would not have enough money to purchase any.

To find our answer we do 4 divided by 1.29 and that is how many he can afford which is 3.1

pls give brainliest

Answer:

He bought 3 oranges

Step-by-step explanation

Divided $1.72 by 4 which gives $0.43

So each orange cost $0.43

0.43 times 3 equals $1.29

The translation of y = |x| left 9 units and up 11 units is y = |x+9|+11 .

The process of translating an existing graph or equation into a new graph is known as graph translation.

We know that for translation we have to change the x-coordinate and the y-coordinate by the amount that is stated in the translation.

Therefore from the graph we can see that the graph of y =|x| is represented by the blue line and the graph of  translation y = |x+9|+11 is represented by the red line.

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Combine X. which is 2x, -5x, x.

we combine -2x and -5x and gives me -3x.

2x -10 -5x -1 +x

now i combine the last x, which is -3x and x and gives us -2x.

-3x -10 -1 +x

now we just combine the rest of the numbers. -10 and -1 and gives me -11.

-2x -10 -1

we have now combine all the numbers and there's nothing else to combine. we're done combining.  :))

ANSWER:

-2x-11