How do you model 18 more than 27 on the number line?

Answer:

The scale factor is 1.25 and this represents an enlargement.

Step-by-step explanation:

As shown at the figure

The side length of the first hexagon = 5

The side length of the second hexagon  = 6.25

So, the scale factor = 6.25/5 = 1.25

and the second hexagon is larger than the first hexagon.

So,

The scale factor is 1.25 and this represents an enlargement.

Answer:

Step-by-step explanation:

Step-by-step explanation:

even number cards is 7 cards (2,4,6,8,10,12,14)

so probability is 7/15

The probability of pulling out an even number from a set of 15 numbers (1-15) is 8/15, but none of the provided multiple choice options match this answer.

The correct answer to this question could be found using the basic concepts of probability. Here, you have 15 cards in total. Among these 15, there are 8 even numbers: 2, 4, 6, 8, 10, 12, 14. The probability of choosing an even number (Event E) is thus Number of favourable outcomes (Event E) divided by Total number of outcomes.

This boils down to Probability (Event E) = Number of even numbers / Total numbers = 8 / 15. As such, none of the provided multiple choice answers are correct.

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Answer:

[tex]m\angle A=98^o[/tex]

Step-by-step explanation:

we know that

In a parallelogram opposite angles are congruent and consecutive angls are supplementary

In this problem

we have the parallelogram  ABCD

so

[tex]m\angle A=m\angle C[/tex] ----> by opposite angles

[tex]m\angle B=m\angle D[/tex] --> by opposite angles

and

[tex]m\angle A+m\angle B=180^o[/tex] ----> by consecutive angles

[tex]m\angle B+m\angle C=180^o[/tex] ----> by consecutive angles

we have

[tex]m\angle C=98^o[/tex]

therefore

[tex]m\angle A=98^o[/tex]

Answer:

Step-by-step explanation:

help me

Answer:

In this equation, when x = -8 , Y = 2

Answer check using either equation =

(1) 2x + y = -7y   ===> 2(-8) + 2 = -7(2)  ===>  -14 = -14

(2) Y= x + 10  ===>  2 = -8 + 10  ===> 2 = 2

Step-by-step explanation:

Assuming that you are looking for "x" and "y", Let

2x + y = -7y  ................. (1)

Y= x + 10     ................. (2)

From equation (2), Y = x + 10, therefore substitute for "Y" in equation (1) to get the value of "x"

2x + x + 10 = -7(x + 10)

3x + 10 = -7x - 70

gather like terms on each side.

3x + 7x = -70 - 10

10x = -80

divide through by 10

x = -8

Now substitute for "x" in equation (2)

Y = x + 10

Y = -8 + 10

Y = 2

Answer:

B) 9/2

Step-by-step explanation:

4½ = 4 + ½

= 8/2 + 1/2 = 9/2

Answer: 9/2

Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.

So here, we multiply the denominator, 2, times the whole number, 4, then we add the numerator, 1. So we have (2 × 4) + 1 of 8 + 1 which is 9.

Finally, we put our new number over our old denominator and we have our answer, 9/2. There is also an image provided showing my work.

So 4 and 1/2 can be rewritten as the improper fraction 9/2.

Answer:

33 1/5

Step-by-step explanation:

Turn 92/4 into a mixed number to make this problem easier, which equals 23. So the equation will look like: 23 + 10 + 4/10. Now add them all together and you will get 23 + 10 + 4/10 = 33 4/10. Now simplify 33 4/10 and you will get 33 1/5

Answer:

Step-by-step explanation:

92 /4 +10+4/10

=23+10+ 4/10

=33+4/10

=33+2/5

=167/5

Answer:

85/99

Step-by-step explanation:

[tex]\frac{171717}{200000}[/tex]

Answer:

(x+11)(x-11)

Step-by-step explanation:

A ^2 - B ^2 =(A+B) (A-B).. (*)

x^2 - 121=

x^2 - 11^2=(*)

(x+11)(x-11)

Volume of the cone is 100 in³

Step-by-step explanation:

Volume = 1/3 × 3.14 × 3² × 9

             = 84.78 in³ ≈ 100 in³ (rounding off to nearest hundredth)

Final answer:

The volume of a cone with a radius of 3 inches and a height of 9 inches is approximately 84.78 cubic inches.

Explanation:

To find the volume of a cone with a radius of 3 inches and a height of 9 inches, you can use the formula for the volume of a cone, which is:

[tex]V = (1/3)\pi r^2h[/tex]

Plugging the given values into the formula gives us:

[tex]V = (1/3) * 3.14 * (3 inches)^2 * 9 inches[/tex]

Now, calculate the square of the radius:

[tex]V = (1/3) * 3.14 * 9 * 9[/tex]

Next, multiply all the numbers together:

[tex]V = 3.14 * 27[/tex]

V = 84.78 cubic inches

Therefore, the volume of the cone is approximately 84.78 cubic inches, rounded to the nearest hundredth.

Answer:

No, 40(2x - 16y) is not equivalent to 42 - 56y

Step-by-step explanation:

40(2x -16y)

If we expand the above expression, we will have

80x - 16y which is not equivalent to 42 - 56y

[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&\$70000\\ P=\textit{original amount deposited}\\ r=rate\to 5.46\%\to \frac{5.46}{100}\dotfill &0.0546\\ t=years\dotfill &20 \end{cases} \\\\\\ 70000=Pe^{0.0546\cdot 20}\implies 70000=Pe^{1.092}\implies \cfrac{7000}{e^{1.092}}=P \\\\\\ 23488.13 \approx P~\hfill \stackrel{~\hfill \textit{the earned interest will be}}{70000-23488.13\implies 46511.87}[/tex]

Answer:

75 miles

Step-by-step explanation:

We can use cross products to solve

3 in                   5 in

--------------- = -------------------

45 mi               x miles

3 * x = 5 * 45

3x = 225

Divide each side by 3

3x/3 = 225/3

x =75 miles

To find the actual distance between two towns on a map, use the scale provided. Set up a proportion using the scale and the map distance to find the actual distance. In this case, the actual distance is 75 miles.

To find the actual distance between two towns on a map, you can use the scale provided. In this case, the scale is 3 in: 45 mi. This means that 3 inches on the map represents 45 miles in the real world. If the map distance between the two towns is 5 inches, you can set up a proportion to find the actual distance.

Using the scale, you can set up the equation:

3 inches / 45 miles = 5 inches / x miles

Cross-multiplying, you get:

3 * x = 5 * 45

Simplifying, you get:

x = (5 * 45) / 3

x = 75 miles

Therefore, the actual distance between the two towns is 75 miles.

Answer:

36 total muffins

Step-by-step explanation:

5*4=20

8*2=16

20+16=36

Hey there!

To write an expression to represent this:

We know that the four red plates each have 5 muffins, and 4 x 5 = 20.

So we can say 20 + 2y is the expression, because we add 20 to the muffins on the two yellow plates.

The number of muffins on each yellow plate is represented by the variable y.

If each yellow plate has 8 muffins, so y = 8, the expression will look like this:

20 + 2(8)

Multiply 2 x 8.

20 + 16

Add 20 + 16.

36

Belle baked 36 muffins total.

Hope this helps!

Answer:

The height is 67 cm

Step-by-step explanation:

Remember that

[tex]1\ in=2.54\ cm[/tex]

we know that

The size of a TV is measured by its diagonal

Convert 60 inches to centimeters

[tex]60\ in=60(2.54)=152.4\ cm[/tex]

Applying the Pythagorean Theorem

[tex]D^2=H^2+W^2[/tex]

where

D is the diagonal

H is the height

W is the width

we have

[tex]D=152.4\ cm\\W=137\ cm[/tex]

substitute

[tex]152.4^2=H^2+137^2[/tex]

solve for H

[tex]H^2=152.4^2-137^2\\H^2=4,456.76\\H=67\ cm[/tex]

Answer:

a good estimate of the sum of 3 and 4/15 is 3 1/4.

Step-by-step explanation:

4/15 is close to 4/16, or 1/4, so a good estimate of the sum of 3 and 4/15 is

3 1/4.

Step-by-step explanation:

The Mathematical transformation of the given statement would be:

[tex]2x - 3 = y[/tex]

Answer:15

Step-by-step explanation:

You have to divide the fractions so it 3/4÷1/10 then you can do keep change flip so the new equation is 3/4×10/1 or 3/4×10 then cross simply then get 3/2×5/1 to get 15/2 then use division to get 7 1/2

Amira's cat food will last 7.5 weeks, considering the cat eats 1/10 of a bag per week.

To find out how many weeks the cat food will last, you can divide the amount of food Amira has by the amount her cat eats per week.

First, let's calculate how much her cat eats per week:

1/10 of a bag per week.

Now, let's calculate how many weeks the food will last:

(3/4) / (1/10)

To divide fractions, you can multiply by the reciprocal of the divisor:

(3/4) * (10/1) = (3/4) * 10 = (3 * 10) / 4 = 30/4

Now, let's simplify 30/4:

30 divided by 4 equals 7 with a remainder of 2, so 30/4 = 7 + 2/4

Since 2/4 simplifies to 1/2, we get:

7 + 1/2 = 7.5

So, the cat food will last approximately 7.5 weeks.

Equation:

37.29 = 34.85 + 34.85(x)

Solving:

37.29 = 34.85 + 34.85x

2.44 = 34.85x

x = 0.07

The approximate sales tax rate is 7%.

Hope this helps!! :)

Answer:

im pretty sure its 0.07

Step-by-step explanation:

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of males on the elevator

y ----> the number of females on the elevator

we know that

The inequality that represent this situation is

[tex]180x+150y\leq 2,700[/tex]

The solution of the inequality is the shaded area below the solid line [tex]180x+150y=2,700[/tex]

The slope of the solid line is negative

The y-intercept of the solid line is (0,18)

The x-intercept of the solid line is (15,0)

see the attached figure

The solution is the triangular shaded area

The maximum number of females is 18 (when the number of males is zero)

The maximum number of males is 15 (when the number of females is zero)

Step-by-step explanation:

[tex]10 \times 9 \sqrt{72} \\ = 90 \sqrt{36 \times 2} \\ = 90 \times 6 \sqrt{2} \\ = 540\sqrt{2} [/tex]

Final answer:

To find the product of 10 and 9√72, simplify √72 to 6√2, then multiply the outside coefficients (10 and 9) to get 90, and attach the simplified radical. The final answer is 90√2.

Explanation:

The question asks to find the product of 10 and 9√72 in simplest radical form. First, recognize that the square root of 72 can be simplified by factoring out perfect squares. The square root of 72 is equal to the square root of 36 times 2, which simplifies to 6√2. Now, multiply the outside coefficients (10 and 9) and then multiply the result by the simplified radical. The final simplification is 90√2, which is the product of 10 and 9√72 in simplest radical form.

Answer:

20

Step-by-step explanation:

The solution is 10x² + 7x - 1

Step-by-step explanation:

(8x² + 10x - 10) - (-2x² + 3x - 9) = 8x² + 10x - 10 + 2x² - 3x + 9

                                                 = 10x² + 7x - 1

Step-by-step explanation:

[tex]\huge\bold\purple{ 10x^2+7x-1 }[/tex]

on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex] is [tex]121y^6 -36x^4[/tex] .

Step-by-step explanation:

We have , (6x^2−11y^3)(−6x^2−11y^3):

[tex](6x^2-11y^3)(-6x^2-11y^3)[/tex]

⇒ [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex]

We know that :

[tex](a +b)(c+d) = (ac+ad+ad+bd)[/tex]

⇒ [tex](6x^2(-6x^2) - 11y^3(-6x^2) )+(6x^2(-11y^3) + (-11y^3)(-11y^3))[/tex]

⇒ [tex](-36x^4+66x^2y^3 -66x^2y^3 + 121y^6)[/tex]

⇒ [tex](-36x^4+ 121y^6)[/tex]

⇒ [tex]121y^6 -36x^4[/tex]

Therefore, on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex] is [tex]121y^6 -36x^4[/tex] .

Step-by-step explanation:

Set up a systems of equations (x = kids, y = adults)

3x+9y=75 --> 15x+45y=375

8x+5y=67 --> 72x+45y=603

Subtract the two equations

57x = 228

x = 4

A KID'S TICKET IS $4

Plug that in for x

4(3)+9y=75

12+9y=75

9y=63

y=7

AN ADULT'S TICKET IS $7

Answer:

Length:15 cm

Width: 12 cm

Step-by-step explanation:

The complete question is

Amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters. The width is 2x + 6 centimeters, and is 4/5 of the length. What are the dimensions of the canvas?

Let

L ----> the length of the rectangular canvas

W ---> the width of the rectangular canvas

we know that

The width is 4/5 of the length

so

[tex]W=\frac{4}{5}L[/tex] ----> equation A

substitute the given values in equation A

[tex](2x+6)=\frac{4}{5}(6x-3)[/tex]

solve for x

[tex]10x+30=24x-12\\24x-10x=30+12\\14x=42\\x=3[/tex]

Find the dimensions of the canvas

substitute the value of x

[tex]L=6(3)-3=15\ cm[/tex]

[tex]W=2(3)+6=12\ cm[/tex]

Question

What fraction choose dogs?

Answer:

[tex]\frac {3}{8}[/tex]

Step-by-step explanation:

When 2 choose rabbits then to get the number that choose other anomals apart from dogs is given by getting the difference between total people and those who choose dogs. This then is expressed as 8-2=6 choose either cat or dogs. These six, half of them choose choose cats and the remaining choose dogs. Therefore 6/2=3

For 3 out of 8, this fraction is equal to

[tex]\frac {3}{8}[/tex]

Therefore, the fraction that choose dogs or cats is equal to

[tex]\frac {3}{8}[/tex]

Answer:

Step-by-step explanation:

Answer: Warming up and drinking enough water

Step-by-step explanation:

You should really ask yourself this, but you can talk about your perserverance, and not being afraid to try something new.

Answer:

0.5972222 (2 repeats forever)

Step-by-step explanation:

Hope that helps!

Answer:

0.5972

Step-by-step explanation:

43 ÷ 72 = 0.59722222222....

This (2) is a repeating decimal.