b. Write a multiplication equation to show how the length is scaled. 4 This bar shows the length of 8 units scaled in a different way. a. Use words to describe how the length of 8 units is scaled. b. Write a multiplication equation to show how the length is scaled. 1s = 1 × Is X Use th Is 0 53 X Use the 0 Is ³/3 x​

Answers

Answer 1

The length of the bar is doubled because it was stretched to twice the length of the original bar.

A multiplication equation that shows how the length is scaled is 2 × 8 = 16.

The length of the bar is halved because it was compressed to one-half the length of the original bar.

A multiplication equation that shows how the length is scaled is 1/2 × 8 = 4.

What is scale factor?

In Mathematics and Geometry, the scale factor of a geometric figure can be calculated by dividing the length of the image (new figure) by the length of the pre-image (original figure):

Since the original bar has a length of 8 units, we can logically deduce that its length became doubled because it was expanded to twice the length of the original bar. Therefore, a multiplication equation to model this expansion is given by:

2 × 8 = 16.

Conversely, the original bar has a length of 4 units, we can logically deduce that its length was halved because it was shrunk to one-half the length of the original bar. Therefore, a multiplication equation to model this compression is given by:

1/2 × 8 = 4.

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B. Write A Multiplication Equation To Show How The Length Is Scaled. 4 This Bar Shows The Length Of 8
B. Write A Multiplication Equation To Show How The Length Is Scaled. 4 This Bar Shows The Length Of 8

Related Questions

A bag of 100 marbles contains an equal amount of marbles that are blue, green, red, yellow, and orange. If one marble is pulled at random from the bag, the probability that it is a green marble is

Answers

The probability of drawing a green marble from the bag can be calculated as the number of green marbles over the total number of marbles in the bag. Since there are an equal amount of each color marble in the bag, there are 100/5 = 20 marbles of each color. Therefore, there are 20 green marbles in the bag.

The probability of pulling a green marble is the number of green marbles (20) divided by the total number of marbles (100):

P(green marble) = 20/100 = 0.2 = 20%

Therefore, the probability of pulling a green marble from the bag is 20%.

Rafael wants to find the slope of the line

Answers

The correct formula for the slope will be:

m = (100 - 50)/(4 - 2) = 50/2 = 25 . Rafael took the reciprocal of the values.

Explain about the slope of the line?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. Δy and Δx are the net changes in the y and x coordinates, respectively.

So,

m = Δy / Δx

Using the slope-intercept form, as illustrated below, we can quickly get the slope for just a given line:

Y = mx + c can be used to represent a line.

where the slope's numerical value is m, the x-coefficient.A line's slope and steepness are both referred to as its slope.

For the stated question:

The slope calculated by Rachel is:

m = (4 - 2) / (100 - 50) = 2/50 = 1/25

Which is incorrect .

Thus, the correct formula for the slope will be:

m = (100 - 50)/(4 - 2) = 50/2 = 25

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Based on her past experiences, a homeowner estimates that appliances lose 27% of their
resale value each year. If her estimate is accurate, how much will an appliance currently
valued at $1,128 be worth in 10 years?

Answers

Step-by-step explanation:

If the LOSE 27% per year, they RETAIN 100- 27 = 73%  (.73 in decimal) per year

after ten years :

 $  1128 ( .73)^10 = $48.48

Answer:

$48.48

Step-by-step explanation:

Using compound depreciation

time

amount × percentage^

10

1128 × 0.73^ =48.477

A quiz consists of 60 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?

Answers

Answer: √910 . 0.5 . 0.5= √227.5≈ 15.08.

Step-by-step explanation: The number x of correct guesses in n=910

trials is a binomial random variable with probably p= 0.5 of success. The standard deviation of such a variable is √np(1 -- p ). In this case, that's √910 . 0.5 . 0.5=√227.5≈ 15.08.

Such a variable would be well modeled by a normal distribution with mean np=  910 . 0.5= 455 and standard deviation √222.75 ≈ 15. using the 68-95.99.7 rule-of-thumb , about 68%  of the people who guessed on such a exam would score between 440 and 470, about 95% of such people would  score between 425 and 485, and about 99.7% of such people would score between 410 and 500

solve for x.
find m∠HJB
you'll get 50 points!!!

Answers

X = -1.5 if not mistaken
J=120
Also, x = -1.5 because you do 22x+88+52-2x=180 and solve the equation

3x=42 round to the nearest hundredth

Answers

Answer:

42 /3 = x

Step-by-step explanation:

it is 14 for sure.....

Find the average rate of change of the function on the interval, specified for real number b ???

Answers

[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 6x^2-7 \qquad \begin{cases} x_1=1\\ x_2=b \end{cases}\implies \cfrac{f(b)-f(1)}{b - 1}[/tex]

[tex]\cfrac{[6(b)^2-7]~~ - ~~[6(1)^2-7]}{b-1}\implies \cfrac{6b^2-6}{b-1}\implies \cfrac{6(b^2-1)}{b-1}\implies \cfrac{6(b^2-1^2)}{b-1} \\\\\\ \cfrac{6(b-1)(b+1)}{b-1}\implies 6(b+1)[/tex]

Abdul bought 24 pounds of rice for $12. How many dollars did he pay per pound of rice?

Answers

Answer:

Abdul paid $0.50 per pound of rice ($12 divided by 24 pounds).

please helpp!!! A sum of money was shared among three children John, Bob and Henry in the ratio 3:2:1 respectively. If Bob's share w​as $1 000, how much was John's share?

Answers

$1500

Step-by-step explanation:

if $1000 is equal to 2 parts then .....1 part is given by 1000÷2 =500

so John's share is given by 3x500

1500

Suppose you roll two number cubes and find the probability distribution for the sum of the numbers. Which two sums have the same probability distribution and would be represented with equal bars on a bar graph? 4 and 11 2 and 12 5 and 10 6 and 9

Answers

The sum of two dice has a total of 36 possible outcomes. The sum can range from 2 (rolling a 1 on each die) to 12 (rolling a 6 on each die).

To find the probability distribution, we can make a table that lists all the possible sums, the number of ways to obtain each sum, and the corresponding probability.

Sum Ways to obtain Probability

2 1 1/36

3 2 2/36 = 1/18

4 3 3/36 = 1/12

5 4 4/36 = 1/9

6 5 5/36

7 6 6/36 = 1/6

8 5 5/36

9 4 4/36 = 1/9

10 3 3/36 = 1/12

11 2 2/36 = 1/18

12 1 1/36

From the table, we can see that the sums 6 and 9 have the same probability distribution, and would be represented with equal bars on a bar graph

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you draw two marbles without replacement from a bag containing 3 green marbles and 4 black marbles the number of possible outcomes in the sample spaces

Answers

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  there are 21 pοtential οutcοmes in the sample space.

What is an unitary methοd?

One may use this cοmmοn cοnvenience, already-existing variables, οr all impοrtant elements frοm the οriginal Bishοp custοmizable questiοn that adhered tο a particular methοd tο achieve the gοal. If sο, there will be anοther chance tο get in tοuch with the οbject. If it dοesn't, all οf the crucial elements that make up an expressiοn prοοf οutcοme will be lοst.

Here,

Using the fοrmula fοr the number οf cοmbinatiοns, we can determine hοw many pοssibilities are pοssible in the sample space:

=> nCk = n!/(k!*(n-k))!

where k is the number οf οbjects being selected, and n denοtes the οverall number οf οbjects in the set.

As there are 7 marbles in the cοntainer, we want tο select 2 οf them, sο n = 7 and k = 2.

the sample space has the fοllοwing amοunt οf οutcοmes that cοuld οccur:

=> 7C2 = 7! / (2! * (7-2)!)

=>  21

Therefοre, when twο marbles are drawn frοm the given bag withοut a replacement, there are 21 pοtential οutcοmes in the sample space.

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Complete Question:

'You draw two marbles without replacement from bag containing three green marbles and four black marbles_ The number of possible outcomes in the sample space is'

Workout AG in the cuboid below. (3d trig)

Answers

The length of the diagonal AG = 7.56 cm.

Finding diagonal of cuboid:

A cuboid is a three-dimensional shape that is bounded by six rectangular faces. It is also known as a rectangular prism. A cuboid has six faces, twelve edges, and eight vertices.  

To find the Length of the side AG, find the length of AC by using the Pythagorean formula. Now using the trigonometric ratios formulas find the length of AG.

Here we have a cuboid

Where

AD = 23 cm

DC = 18 cm

∠GAC = 75°  

From the right angle triangle, ADC

=> AC² = AD² + DC²    [ Using the Pythagorean formula ]

=> AC² = (23)² + (18)²

=> AC² = 529 + 324

=> AC = √853 = 29.20    

From the right angle triangle, AGC

=> Cos B = AC/AG

=> Cos 75° = 29.20/AG

=> AG = Cos 75° (29.20)

=> AG = (0.26)(29.20)

=> AG = 7.56

Therefore

The length of the diagonal AG = 7.56 cm.

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Using the substitution method to solve the following system .if the equations of the systems are dependent ,or if the system is inconsistent,so indicate.


y = 3x
x + y = 8

Answers

Answer:

[tex]x = 2 , y = 6[/tex]

Step-by-step explanation:

The substitution method suggests that you will "substitute" a portion of one given equation to another in the system of equation:

In this case, substitute 3x for y in the 2nd equation:

[tex]y = 3x\\x + y = 8\\\\x + (3x) = 8[/tex]

Simplify. Combine like terms. Like terms are terms with the same amount of the same variable.

[tex]x + 3x = 8\\4x = 8[/tex]

Next, isolate the variable, x. Divide 4 from both sides of the equation:

[tex]4x = 8\\\frac{4x}{4} = \frac{8}{4} \\x = \frac{8}{4}\\ x = 2[/tex]

Next, plug in 2 for x in one of the equations, and simplify to solve for y:

[tex]y = 3x\\y = 3(2)\\y = 6[/tex]

Check: Plug in 2 for x and 6 for y in the second equation:

[tex]x + y = 8\\(2) + (6) = 8\\8 = 8[/tex](True)

~

[tex]x = 2 , y = 6[/tex] is your answer.

~

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Find the value of an in the parallelogram shown to the right. Note that the figure is not drawn to scale.
59°
(2a+27)°

Answers

The value of a in the given parallelogram such that 2a + 27 and 59 are opposite angles is 16

Finding the value of a in the parallelogram

Given the attached parallelogram

Opposite angles in a parallelogram are equal in measure.

This property is known as the "Opposite Angles Property" or "Alternate Angles Property" of a parallelogram.

So, we have

2a + 27 = 59

Evaluating the like terms, we have

2a = 32

Divide both sides by 2

a = 16

Hence, the value of a is 16

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(CLASSKICK) HELP ASAP!!!

Answers

Answer:

  94.3

Step-by-step explanation:

You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"

Proportion

The diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.

The solution is found by multiplying both sides by 82:

  (x/82)·82 = (115/100)·82

  x = 94.3

Equation

The question can also be written as a statement:

  "what" is 115% of 82

When written as an equation, "is" means "equals", and "of" means "times":

  what = 115% × 82

Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...

  x = 115/100 × 82 = 1.15 × 82

All that remains is to evaluate this expression.

  x = 1.15 × 82 = 94.3

So, the answer to the question is ...

  94.3 is 115% of 82.

I need help please!!!

Answers

The amount that would be in the account after 20 years would be $33,277.48.

The doubling time of the emissions would be  23.45 years

The total emissions will be higher in 2030 than 2010 by 100.96%

How to find the amount after years of investment ?

To find the amount in the account after 20 years, we can use the formula:

A(t) = P(1 + r)^t

Take the 12th root of both sides:

(1 + r) = 2^(1/12)

Now find r:

r = 2^(1/12) - 1 ≈ 0.05946

Now we can find the amount in the account after 20 years with the investment of $10,000:

A(20) = 10000(1 + 0.05946)^20

A(20) = $33,277.48

How to find the doubling time ?

To find the doubling time for emissions, we can use the formula:

Doubling time = ln(2) / ln(1 + r)

Doubling time = ln(2) / ln(1 + 0.03)

Doubling time = 23.45 years

To find how much higher total emissions will be in 2030 than in 2010, we can use the exponential growth formula:

E(t) = E₀(1 + r)^t

We want to find the ratio of emissions in 2030 to emissions in 2010:

E(20) / E(0) = (1 + 0.03)^20

E(20) / E(0) ≈ 2.0096

Higher emissions = E(20) / E(0) - 1

Higher emissions ≈ 1.0096

So, total emissions will be approximately 100.96% higher in 2030 than in 2010.

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4 to the 3 power, x 4 to the 4th power, divide by 4 to the 9th power

Answers

Answer:

We can simplify the expression as follows:

4^3 * 4^4 / 4^9

First, we can simplify the terms in the numerator by adding the exponents of 4:

4^3 * 4^4 = 4^(3+4) = 4^7

Now, we can substitute this value in the expression:

4^7 / 4^9

To divide powers with the same base, we can subtract their exponents:

4^(7-9) = 4^(-2)

Therefore, the simplified expression is:

4^3 * 4^4 / 4^9 = 4^(-2)

So, the final answer is 1/16 or 0.0625.

b. Find the quadratic equation whose roots are aß² and a²ß. If a and b
are the roots
of the quadratic equation x^2- 3x + 2 = 0

Answers

The quadratic equation is; x^2 -6x + 8 = 0

What is a quadratic equation?

A quadratic equation is a mathematical equation of the form ax^2 + bx + c = 0, where x is the unknown variable, and a, b, and c are constants (numbers). The exponent of x in the equation is 2, which means it is a second-degree polynomial equation.

We know that the solution of  x^2- 3x + 2 = 0 is x = 2 and x = 1 hence;

α = 2, β = 1

We have that;

αβ^2 = 2

α^2β = (2)^2(1) = 4

The equation would now be;

x^2 - (2 + 4)x - (2 * 4) = 0

x^2 -6x + 8 = 0

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A golf course rents golf clubs for $10 plus $4 for each hour the golf clubs are rented. An expression for the total cost of renting the golf clubs for h hours is 10 + 4h.
Complete the table by finding the total cost of renting the golf clubs for h hours.

Answers

To complete the table, we can use the expression 10 + 4h to calculate the total cost of renting the golf clubs for different values of h.

Table below:

h Total cost

1 14

2 18

3 22

4 26

5 30

For example, if the golf clubs are rented for 1 hour, the total cost is $14 (10 + 4(1) = 14). If they are rented for 2 hours, the total cost is $18 (10 + 4(2) = 18), and so on.

What is the expression for the total cost of renting golf clubs for h hours at a golf course that charges $10 plus $4 for each hour rented?

The expression for the total cost of renting golf clubs for h hours at a golf course that charges $10 plus $4 for each hour rented is 10 + 4h.

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can someone please help me

Find the area of each shaded region.

Round the answer to two decimal places.

show work

Answers

The length of the arc XY = 6.28yards

The area of shaded part = 12.57yards²

Define the term arc length of circle.

The arc length of a portion of a circle's circumference is the length of the curved line that makes up that portion of the circle. Formula:

Arc length = [tex]\frac{(angle subtended by the arc)}{360}[/tex] × (circumference of the circle)

Area of portion = [tex]\frac{(angle subtended by the arc)}{360}[/tex] × (area of circle)

Part 7: Given that, r = 4yards and Ф = 90°

So, The length of the arc XY = [tex]\frac{90^{o} }{360^{o} }[/tex] × 2π × 4yards = 2π = 6.28yards

The area of shaded part = [tex]\frac{90^{o} }{360^{o} }[/tex] × π × (4yards)² = 4π = 12.57yards²

Part 8: Given that, r = 19ft and Ф = 300°

So, The length of the arc ST = [tex]\frac{300^{o} }{360^{o} }[/tex] × 2π × 19ft = [tex]\frac{95}{3}[/tex]π = 99.48ft

The area of shaded part = [tex]\frac{300^{o} }{360^{o} }[/tex] × π × (19ft)² = [tex]\frac{1805}{6}[/tex]π = 945.09ft²

Part 9: Given that, r = 4inch and Ф = 315°

So, The length of the arc EF = [tex]\frac{315^{o} }{360^{o} }[/tex] × 2π × 4inch = 7π = 21.99inch≅22inch

The area of shaded part = [tex]\frac{315^{o} }{360^{o} }[/tex] × π × (4inch)² = 14π = 43.98inch²

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(Q: 8) find the value of p in this proportion show where below answer here P=

Answers

Answer:16

Step-by-step explanation:

10/p=5/8

can be shown as

1/p=5/80

p=80/5=18

Answer:

[tex]P=16[/tex]

Step-by-step explanation:

Given

[tex]\frac{10}{P} =\frac{5}{8}[/tex]

We can use cross multiplication to find the value of [tex]P[/tex].

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

Following these steps we can evaluate [tex]P[/tex].

[tex]10*8=5P[/tex]

Multiply [tex]10[/tex] by [tex]8[/tex].

[tex]80=5P[/tex]

Divide both sides of the equation by [tex]5[/tex]. [tex]P[/tex] cancels out on the right side.

[tex]\frac{80}{5} =\frac{5P}{5}[/tex]

[tex]\frac{80}{5} =P[/tex]

Divide [tex]80[/tex] by [tex]5[/tex].

[tex]16=P[/tex]

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what is the area of the figure below some help me show the work ;(!

Answers

Answer:

[tex]\large\boxed{\mathtt{Area = 586.2cm^{2}.}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to find the area of this figure.}[/tex]

[tex]\textsf{In order to make this simpler, draw a line between the rectangle, and the semi-circle.}[/tex]

[tex]\textsf{We should identify the formulas needed for the areas of the rectangle, and semi-circle.}[/tex]

[tex]\large\underline{\textsf{For the Semi-Circle:}}[/tex]

[tex]\mathtt{Area = 1/2( pi(radius)^{2}).}[/tex]

[tex]\large\underline{\textsf{For the Rectangle:}}[/tex]

[tex]\mathtt{Area = Length \ x \ Width.}[/tex]

[tex]\textsf{Let's find the area of the Rectangle first.}[/tex]

[tex]\mathtt{Area = 15 \ x \ 24}[/tex]

[tex]\mathtt{Area = 360cm^{2}.}[/tex]

[tex]\textsf{For the Semi-Circle, the radius is 1/2 of the Diameter. (24)}[/tex]

[tex]\mathtt{Area = 1/2( pi(12)^{2}).}[/tex]

[tex]\mathtt{Area = 1/2(144 \pi).}[/tex]

[tex]\mathtt{Area = 72 \pi.}[/tex]

[tex]\mathtt{Area \approx 226.2cm^{2}.}[/tex]

[tex]\textsf{Add the areas together to represent the area of the figure.}[/tex]

[tex]\large\underline{\textsf{Add:}}[/tex]

[tex]\mathtt{360cm^{2} + 226.2cm^{2} = 586.2cm^{2}. }[/tex]

[tex]\large\boxed{\mathtt{Area = 586.2cm^{2}.}}[/tex]

please help im begging you!


Part C

Now you will attempt to copy your original triangle using only two of its sides and the included angle:


Using point E as the center, draw a circle with a radius equal to the length of

, which you calculated in part B.

Using point E as the vertex and

as one side of the angle, create an angle that is equal to the measure of

. Draw ray

.

Locate the intersection of the ray and the circle, and label the point F.

Complete

by drawing a polygon through points D, E, and F.

Take a screenshot of your results, save it, and insert the image below.

Answers

Below given are the steps to copy the original triangle using only two of its sides and the included angle.

What is triangle?

It is a fundamental geometric shape in mathematics and has many applications in science, engineering, and everyday life. They can be classified based on the lengths of their sides and the measures of their angles.

Using point E as the center, draw a circle with a radius equal to the length of n×CA that was calculated in part B.

Using point E as the vertex, draw a ray DE in the direction of one of the sides of the angle to be copied (in this case, ∠BCA).

Create an angle at point E that is equal to the measure of ∠BCA. To do this, place the point of a compass at point E and adjust the compass to the length of segment CA. Then, draw an arc that intersects both sides of the ray DE. Without changing the width of the compass, place the compass at point C and draw an arc that intersects the previous arc. Draw a line connecting point E to the intersection of the two arcs to create an angle that is equal to ∠BCA.

Draw ray ED' from point E through the intersection of the two arcs.

Locate the intersection of ray ED' and the circle drawn in step 1. Label this point F.

Draw a polygon through points D, E, and F to complete the copied triangle, which is ΔDEF.

The resulting triangle ΔDEF will be a copy of the original triangle, with side EF corresponding to the included angle and sides DE and DF corresponding to the sides used to construct the copy.

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Pack of card has 52 cards, how many cards in 36 packs?

Answers

Here is the answer 52 x 36 = 1872

Answer:

1872 cards

Step-by-step explanation:

1 cards=52

36×52

=1872 cards

3 Find the area of the figure
below.
r = 4 in

Answers

Based on the information we can infer that the area of the image is: 50.24 in²

How to find the area of the figure?

To find the area of the figure we must take into account that this figure is a circle. To find the area of this figure we must use the following mathematical formula:

A = πr²

Then we must replace the values and find the result, the formula would look like this:

A = π4²

A=3.14*4²

A=3.14*16

A = 50.24in

According to the above, the area of the circle would be 50.24 in. Additionally, we learned the formula for circle area.

Note: This question is incomplete; here is the missing information:

Find the area of the figure below.

r = 4 in

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The width of a rectangle is 2 units less than the length. The area of the rectangle is 24 square units. What is the length, in units, of the rectangle?

Answers

The width of a rectangle is 2 units less than the length. The area of the rectangle is 24 square units. The length of the rectangle is 6 units.

Let's denote the length of the rectangle as L and the width as W. According to the given information, the width is 2 units less than the length, so we can express this relationship as:

W = L - 2

The formula for the area of a rectangle is A = L * W, and in this case, the area is given as 24 square units. Substituting the values, we have:

24 = L * (L - 2)

Expanding the equation, we get:

24 = L^2 - 2L

Rearranging the equation and setting it equal to zero, we have:

L^2 - 2L - 24 = 0

We can now factor the quadratic equation:

(L - 6)(L + 4) = 0

Setting each factor equal to zero, we have two possible solutions:

L - 6 = 0 or L + 4 = 0

Solving each equation, we find:

L = 6 or L = -4

Since the length cannot be negative, the length of the rectangle is 6 units.

The length of the rectangle is 6 units.

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1. In the Khan academy video, the ratio of boys to girls is 2 : 3. What is the ratio of boys to girls if there are 40 students in the classroom?
Answer: ____
a) 8 : 12 b) 10 : 5 c) 20 : 40 d) 16 : 24

Answers

Answer:

16:24

Step-by-step explanation:

The ratio of boys to girls is 2 : 3

total of the ratio is 5

∴ fraction of the class are boys = 2/5

and  the girls=  3/5

Ratio of boys =( 2/5)×40=16

Ratio of girls=3/5  ×40 =24

Multiply the complex’s numbers
(7-2i)(1+3i)

Answers

The multiplicatiοn οf the cοmplex number is 13+19i.

What is cοmplex number?

Cοmplex numbers are the numbers that are stated in the fοrm οf a+ib where, a,b are real numbers and I is an imaginary number termed "iοta".

Cοmplex numbers allοw sοlutiοns tο all pοlynοmial equatiοns, even thοse that have nο sοlutiοns in real numbers. Mοre precisely, the fundamental theοrem οf algebra asserts that every nοn-cοnstant pοlynοmial equatiοn with real οr cοmplex cοefficients has a sοlutiοn which is a cοmplex number.

Here the given cοmplex number is ,

=> (7-2i)(1+3i)

Nοw simplifying the expression then,

=> [tex]7\times1+7\times3i-2i \times1 -2i \times3i[/tex]

=> 7+21i-2i-[tex]6i^2[/tex]

=> 7+19i -6(-1) [[tex]i^2=1[/tex]]

=> 7+19i+6

=> 13+19i

Hence the multiplication of cοmplex number is 13+19i.

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On Tuesday, a local hamburger shop sold a combined total of 408
hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?

Answers

The number of hamburger sold on Tuesday is 136.

How to find the number of hamburgers sold on Tuesday?

On Tuesday, a local hamburger shop sold a combined total of 408

hamburgers and cheeseburgers. The number of cheeseburgers sold was

two times the number of hamburgers sold.

Therefore, the number of hamburger sold on Tuesday can be calculated as follows:

Let

x = number of hamburger

y  =number of cheeseburger

Therefore,

x + y = 408

2x = y

x + 2x = 408

3x = 408

divide both sides by 3

x = 408 / 3

x = 136

Therefore,

number of hamburger = 136

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Meals is making a new book cover before giving their favorite picture book to their little brother.

Answers

The width of the book cover made by Meals for his brother is 40 cm.

What is area?

An area is just a surface that is free of objects. With a shape's length and breadth, one may compute the area of the object. Measured in terms of feet (ft), yards (yd), inches (in), etc., length is a one-dimensional quantity. The size of a form, however, is a two-dimensional measurement. Because of this, it is measured in square units like square inches (in2), square feet (ft 2), square yards (yd2), etc. Corners and edges are present on the majority of items and forms. Calculating the area of a certain form takes into account the length and breadth of these edges.

The area of the rectangle is:

A = lw

Given that the area is 890 cm and the height is 22 1/4 cm.

890 = (22 1/4)w

22 1/4 = (4 * 22 + 1) / 4 = 89 / 4

890 = (89 / 4)w

w = 40

Hence, the width of the book cover is 40 cm.

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