Nancy and brad each found an old Singh at a yard sale . Which sing has a greater area which Nancy has the area of 2in , 4 in , 12 in , 8 in and brad has 6 in and 22 in

Answer:

(2c+6)+3(c+8)

=2c+6+3c+24

=5c+30

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Dos números consecutivos se escriben como:

n y (n + 1)

done n es un numero entero.

Entonces "El producto de dos números consecutivos es 552"

Se escribe como:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

\(n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}\)

Las dos soluciones son.

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

Si tomamos la primer solución, n = -24

Entonces los dos números consecutivos son:

n = -24

(n + 1) = -23

Si n = 23 entonces

n + 1 = 24

Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.

Answer:

YES

Step-by-step explanation:

Area: πx r^2

πx2^2

3.14x4

=12.56

so the answear is yes

The speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.

To find the speed of the boat in still water and the speed of the current, let's follow these steps:

Step 1: Let x represent the speed of the boat in still water, and y represent the speed of the current. The speed downstream is (x + y) and the speed upstream is (x - y).

Step 2: Use the formula distance = time × speed to write two equations based on the given information.

Downstream: 9(x + y) = 189

Upstream: 63(x - y) = 189

Step 3: Simplify both equations:

Downstream: x + y = 21 (divide both sides by 9)

Upstream: x - y = 3 (divide both sides by 63)

Step 4: Solve the system of equations by adding the two simplified equations:

2x = 24

x = 12

Step 5: Plug the value of x back into either equation to solve for y:

12 + y = 21

y = 9

So, the speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.

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Answer:

False. The product of two negative integers is a positive integer.

Answer:

24

Step-by-step explanation:

7x4

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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The problem already have a pathway to guide you to the answer, then let's follow it.

The first part, consists on writing the constrains and the objective function.

We have the following constrains:

- You need to run for at least 5 minutes;

- Row for at least 15 minutes;

- Your aerobics session should be no more than 30 minutes;

-You want to perform all three;

-The total workout is 60 minutes long.

Let's call the running time 'x', the rowing time 'y', and the time associated with the aerobics session 'z'.

Writing those constrains as inequalities goes like this

And the objective function(what we want to know), is the function that gives us the total amount of calories burnt in 60 minutes.

This function will be the sum of the products of each time by its respective rate.

The part B, consists in converting the into equations, and then use the substitution method to find four possible vertices.

We have four possibilites. Fixating 'z' on its minimum value and 'y' on its minimum, we get the following:

Fixating 'z' on its minimum value and 'x' on its minimum, we get the following:

Fixating 'z' on its maximum value and 'y' on its minimum, we get the following:

Fixating 'z' on its maximum value and 'x' on its minimum, we get the following:

On the last part, you just need to test the points we got on our objective function.

The function and the values:

Calculating the function on each point:

Comparing the results, we have the point (44, 15, 1 ) as the one that maximizes the function.

Answer:

A= 30

Step-by-step explanation:

A= a+b over 2

h= 5+15 over 2 times that by 3 to get 30

Answer:

Between 100 and 125

Step-by-step explanation:

Given

\(Min =60\)

\(Q_1 = 100\)

\(Median = 110\)

\(Q_3 = 125\)

\(Max =150\)

Required:

Between which values will the box of the box plot will stretch

All box plots stretches between the lower quartile and the upper quartile.

From the question, we have:

\(Q_1 = 100\) ---- lower quartile

\(Q_3 = 125\) ---- upper quartile

Hence, the box will stretch between 100 and 125

Answer:

The number of yards of silk = x = 1.5 yards

The number of yards of cotton = y = 2.75yards

Step-by-step explanation:

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.

Find the solution of the system of equations. Explain or show your reasoning

{x+y=4.25} ; {16.90x+4y=36.35}

Let the number of yards of silk = x

The number of yards of cotton = y

We are given the system of equations:

{x+y=4.25} ......Equation 1

x = 4.25 - y

{16.90x+4y=36.35}....... Equation 2

4.25 - y for x in Equation 2

16.90(4.25 - y) + 4y = 36.35

71.825 - 16.90y + 4y = 36.35

71.825 - 36.35 = 16.90 - 4y

35.475 = 12.90y

y = 35.475/12.90

y = 2.75 yards.

The number of yards of cotton = y

{x+y=4.25} ......Equation 1

x = 4.25 - y

x = 4.25 - 2.75

x = 1.5 yards

The number of yards of silk = x = 1.5 yards

The yards of silk bought is  1.49 yards and the yard of cotton bought is 2.76 yards.

The two equations are known as simultaneous equation. They would be solved using elimination method.

x + y  = 4.25 equation 1

16.90x + 4y = 36.25 equation 2

where:

x = yards of silk bought

y = yards of cotton bought

In order to determine the value of x, multiply equation 1 by 4.

4x + 4y = 17 equation 3

Subtract equation 3 from 2

19.25 = 12.90x

Divide both sides of the equation by 12.90

x = 1.49 yards

In order to determine the value of y, substitute for x in equation 1

1.49 + y = 4.25

y = 4.25 - 1.49

y = 2.76 yards

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Answer:

(3x-2)(X+4)

X=2/3,-4

Step-by-step explanation:

3x^2 + 10x = 8

3x^2+12x-2x-8=0

3x(X+4)-2(X+4)=0

(3x-2)(X+4)=0

X=2/3,-4

So the solution is 2/3,-4

The  expression represents the total surface area of the prism is

2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

The term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the  sum of the areas of all the faces (including the bases) of the prism.

for the rectangular prism, the Total Surface Area can be calculated using the formula:

TSA = 2lw + 2lh + 2wh

where

l = 5

w = 4

h = 7

plugging in the values gives

TSA = 2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

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This study uses a repeated measures design, random sampling, and a control group.

Repeated measures design is used because each child experiences all treatments over time. Random sampling is present as children were randomly selected.

The control group is the group with no screen time. Blocking isn't used as participants aren't grouped based on shared characteristics affecting the response. Blinding isn't used as it's not mentioned that participants or researchers are unaware of the treatment given, which would prevent bias.

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Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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Answer:

Step-by-step explanation:

59 dollars

Answer:

here,

Left dollars+ paid dollars

= 50 dollars +9 dollars

=59 dollars

Hope this helps...

Good luck on your assignment..

Answer:

86°

Step-by-step explanation:

try suggested solution (see the attached picture), note, the suggested way is not the shourtest one.

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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Answer:

6 m

Step-by-step explanation:

27m^3 /8m^3= 20 m / X

8m^3 × 20 m = 27m^3 × X

160 /27 = X

X = 5.9

= 6

The required probability is 0.1422.

The probability of those that paid with credit card is: 0.2952 around 0.20

The correct option is  (b) i.e.,0.30

Probability that drivers filled their vehicles with regular gasoline P(R) = 88% = 0.88

Probability that drivers purchased midgrade gas P(M) = 2% = 0.02

Probability that bought premium gas P(P) = 10% = 0.10

Let A be the given event that it is paid with credit card.

Probability that who bought regular gas paid with credit card P(A|R) = 285

Probability that who bought midgrade gas with credit card P(A|M) = 34% = 0.34

Probability that who bought premium gas with credit card P(A|P) = 42%

= 0.42

According to Bayes theorem, we get that

P(P|A) is given by:

\(\frac{P(A).P(A|P)}{P(R).P(A|R)+P(M).P(A|M)+P(P).P(A|P)}\)

= (0.1 × 0.42)/ 0.88 × 0.28 + 0.2 × 0.34 +0.1 × 0.42

= 0.042/ 0.2952

= 0.1422

To find the probability that the customer paid with a credit card, we can use the law of total probability.

The probability of those that paid with credit card is given as

= 0.2464 + 0.0068 + 0.042

= 0.2952

The correct option is 0.30

Hence, the required probability is 0.1422.

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Answer:

\(4x + 3 + x + 27 = 180\\\\5x + 30 = 180\\\\5x = 150\\\\x = 30\)

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer: cubic inches

Step-by-step explanation: volume is cubed since it is 3 dimensions and it is in inches which are the units given