+
e. The ratio of walnuts to peanuts in a can of mixed nuts is 3 to 5. There are
walnuts, peanuts, and cashews in the mix. The mix has 100 nuts in total. If
there are 18 walnuts, use a proportion and additional math to determine how
many cashews there are.
$2
3

The range of distance between Aaron and Clara is 7<d<23.

The range of possible distance from Aaron to Clara:

So, the range is: 7<d<23

Therefore, the range of possible distance from Aaron to Clara is 7<d<23.

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Answer:

c

Step-by-step explanation:

C is straight forward that the value of the y intercept is 8, unlike the A and B where you must first simply by removing the brackets

a formula for the perimeter of the rectangle in terms of its length, l will be given as l = P / 2 - b.

We know that the perimeter of rectangle is given by:

Perimeter ( P ) = 2 ( l + b )

Now, we need to represent this formula in terms of length that is l.

So, we get that:

P = 2 l + 2 b

Now subtract 2 b from both the sides:

P - 2 b = 2 l + 2 b - 2 b

P - 2 b = 2 l

2 l = P - 2 b

Divide both the sides by 2:

2 l / 2 = (P - 2 b) / 2

l = P / 2 - b

Therefore, we get that, a formula for the perimeter of the rectangle in terms of its length, l will be given as l = P / 2 - b.

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6 hundred and 73 thousand and 65..

The side lengths could be used to create a scale drawing of the field is 6600 yard².

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

A lacrosse field is rectangular with a length of 110 yards and a width of 60 yards.

According to given question we have

We know that

Area of rectangle= Length × width

Area of rectangle= 110 × 60

Area of rectangle= 6600 yard².

Scale ratio can be 1:55

Therefore, the side lengths could be used to create a scale drawing of the field is 6600 yard².

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Answer:

12

Step-by-step explanation:

[tex]n(J \cap K)=n(J)+n(K)-n(J \cup K) \\ \\ =255+186-429 \\ \\ =12[/tex]

Answer:

[tex]2x^2 - 12x + 1[/tex]

Step-by-step explanation:

Hello!

Given the expression: [tex]4x^2 - 8x + 3 - (2x^2 + 4x + 2)[/tex]

Simplify by combining like terms.

Like terms are terms with the same variable and raised to the same power.

The simplified form is [tex]2x^2 - 12x + 1[/tex].

Answer:9 citronella and 6 fragrant wood apples

Step-by-step explanation:

The estimate closest to the length of a pen​ is 160​mm

Estimation is when we use approximate values in a calculation to give an approximate, predicted answer rather than an exact answer.

We can estimate some lengths and distances using approximate values for measurements.

For example, 16 cm is approximately the length of a pen.

Therefore, the estimate of a pen is 16 cm.

Since the length in cm is not in the option, we have to convert.

Hence,

1 centimetres = 10 millimetres

16 centimetres = ?

cross multiply

estimated length of a pen = 160 millimetres.

Therefore, the estimate closest to the length of a pen​ is 160​mm

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Using the normal distribution, we have that:

A.

B. Due to the higher coefficient of variation, Company A has the larger dispersion.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For Company A, the mean and the standard deviation are given as follows:

[tex]\mu = 500, \sigma = 40[/tex]

The Empirical Rule is applicable for a normal variable, meaning that 95% of the measures are within 2 standard deviations of the mean, hence:

The middle 95% of the wires from Company A tested between 420 and 580 psi.

The middle 50% is the measures between the 25th percentile(X when Z = -0.675) and and the 75th percentile(X when Z = 0.675), hence:

25th percentile:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

-0.675 = (X - 500)/40

X - 500 = -0.675(40)

X = 473.

75th percentile:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

0.675 = (X - 500)/40

X - 500 = 0.675(40)

X = 527.

The middle 50% of the wires of Company A tested between 473 psi and 527 psi.

The company with the larger dispersion has the highest coefficient of variation, given by the standard deviation divided by the mean.

Hence:

Hence Company A has the larger dispersion.

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Abby's method and Renato's method of converting kilograms to pounds gives the same answer.

Abby:

1/2n - 10%

= 1/2n - 0.1

Renato:

-10% + 1/2n

= -0.1 + 1/2n

Therefore, Abby's method and Renato's method of converting kilograms to pounds gives the same answer.

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Answer:

(2,-2)

Step-by-step explanation:

The consecutive odd numbers that sum up to 321 are 105, 107 and 109.

The sum of three consecutive odd integers is 321.

Odd numbers are numbers that when divided by 2 produces a remainder.

let

x = first odd numbers

Therefore,

x + x + 2 + x + 4 = 321

combine the like terms

x + x + x + 2 + 4 = 321

add the like terms

x + x + x + 2 + 4 = 321

3x + 6 = 321

subtract 6 from both sides

3x + 6 = 321

3x + 6 - 6 = 321 - 6

3x  = 315

divide both sides by 3

x = 315 / 3

x = 105

Therefore, the consecutive odd numbers that sum up to 321 are 105, 107 and 109.

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Answer: x=32

Step-by-step explanation:

x-7+2x+1=90

x+2x-7+1=90

3x-6=90

3x=96

x=32

Answer:

670.05

Step-by-step explanation:

Rounding to the nearest dollar, Serina will have $515 at the end of five years. Therefore, correct option is A.

To calculate the amount Serina will have at the end of five years, we can use the formula for compound interest:

A = [tex]P(1 + r)^{(nt)[/tex]

Where:

A = the future value of the investment/loan, including interest

P = the principal amount (initial deposit)

r = the annual interest rate (in decimal form)

n = the number of times that interest is compounded per year

t = the number of years the money is invested for

In this case, Serina deposits $500 with an annual interest rate of 5%, compounded semiannually (n = 2), and keeps the money in her account for three years (t = 3).

Plugging in the values, we get:

A = 500(1 + 0.05)⁶

A = 500(1.005)⁶

A ≈ 500(1.030)

A ≈ $515

Therefore, correct option is A.

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Answer:

[tex]x=25^o[/tex]

Step-by-step explanation:

Angle sum of a triangle: [tex]< A + < B+ < C=180^o\\[/tex]

Types of Triangles: Isosceles, Equilateral, Scalene

Given AB = AC are two sides of the big triangle, then ΔABC is Isosceles.

Isosceles triangles are defined to have two equal sides and two equal angles (opposite the congruent(equal) sides).

Also, since ABC is defined as a triangle, BC is a straight line, a.k.a., it is a [tex]180^o[/tex] angle. As the image shows, the line, AD creates a right angle on one side, therefore it creates a right angle([tex]90^o[/tex]) on the other side.

Back to Isosceles Triangles, AD = AE means ΔADE is isosceles and <ADE = <AED

Using the Angle sum formula of a triangle, you can fill in <A, <B, and <C with the following:

<A=[tex]50^o[/tex]

<B=<C=y [This is because <ADE = <AED]

[tex]50^o+2y=180^o\\2y=130^o\\y=65^o[/tex]

Now, this means that <ADE=[tex]65^o[/tex] and <ADC =[tex]90^o[/tex]

<x is better seen as <EDC

<EDC+<ADE=<ADC

Since we know <ADE is 65 and <ADC is 90, we can plug in these to the formula above.

[tex]x+65^o=90^o\\x=25^o[/tex]

Answer:

See below

Step-by-step explanation:

Answer:

Did you already get the answer?

Step-by-step explanation:

Answer:

10 if going from the smallest to the largest or 1/10 if going from the smallest to the largest.

Step-by-step explanation:

Let s = scale factor

10s = 100  Divide both sides by 10

s = 10

Answer:

slope = 6/10

Step-by-step explanation:

Point 1: (0,2)

Point 2: (10,8)

m= Slope= Rise/run = (y2-y1)/(x2-x1) = (8-2)/(10-0) = 6/10

One way to simplify an expression containing trigonometric functions is to first write the expression in terms of sines and cosines only.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to determine the missing side length of a geometric figure with the adjacent and hypotenuse side lengths given, you should apply the law of cosine:

C² = A² + B² - 2(A)(B)cosθ

Similarly, the law of sine can be used to determine the missing side length of a geometric figure with the opposite and hypotenuse side lengths are given:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

In this context, we can reasonably infer and logically deduce that an expression containing trigonometric functions can be simplified by first writing the expression in terms of sines and cosines only.

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Answer:

a = 115°

Step-by-step explanation:

Two angles are supplementary angles because they make a straight line.

The sum of two angles is equal to 180° then to find the measure of the missing angle we simply subtract 65 from 180:

180 - 65 = 115

Answer:

hey from where are you...

Answer:

46

Step-by-step explanation:

4x-4=180

4x=184

x=46

Answer:

x=46

Step-by-step explanation:

used by scientific calculator.

Answer:

 3x + 7

Step-by-step explanation:

Hope this helps you :)

The solutions of  "one seventh times the absolute values of the quantity x minus 3 minus 2 equals 9" is 80 and -74

The absolute value of the quantity x minus 3 = |x-3|

The one seventh time the absolute value of the quantity x minus 3 minus 2 equal to 9

Then the equation will become

(1/7)×|x-3|-2=9

Solve the equation

(1/7)×|x-3|-2= 9

(1/7)×|x-3|= 11

|x-3| = 11×7

|x-3|= 77

The absolute value equation will become

x-3= 77

x-3 = -77

Solve both equation

x-3=77

x= 80

x-3 = -77

x= -74

Hence, the solutions of  "one seventh times the absolute values of the quantity x minus 3 minus 2 equals 9" is 80 and -74

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The values given in standard form are 8.59 and 7.003

The standard form of a number is a way of writing the number in a form that follows certain rules. Any number that has exponents and decimals is said to be a standard notation.

Given the following statements

eight and fifty-nine hundredths

8 + 59/100

8 + 0.59

8.59

For the expression seven and three thousandths

7 + 3/1000

7 + 0.003

7.003

Hence the values given in standard form are 8.59 and 7.003

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The solution to the inequality is w ≥ 470 or w ≤ 530

The given parameters are:

Number of words = 500

Absolute deviation = 30

Acceptable number of words = w

The absolute value inequality is represented as

|w - Number of words| ≥ Absolute deviation

So, we have

|w - 500| ≥ 30

Remove the absolute bracket

So, we have

w - 500 ≥ -30 or w - 500 ≤ 30

Add 500 to both sides of the inequality

So, we have

w ≥ 470 or w ≤ 530

Hence, the solution to the inequality is w ≥ 470 or w ≤ 530

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