Sarah is making strings of beads in the first string she uses 3 beads and she triples the number of beads in each of the next strings identify the number of beads she uses in 5th string.

Answer:

What's the question?

Step-by-step explanation:

Answer: It’s true

Step-by-step explanation:

If you were asking if it’s a true and false then the answer is true.

Answer:

2(6x - 2 + x - 1) = 2(7x - 3) = 14x - 6

Answer:

Step-by-step explanation:

Are you asking for a pattern? The answer is 16

4+4=8

8+4=12

12+4=16

The given sequence 4, 8, 12, ... is an arithmetic expression thus the next term will be 16.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has broader use in mathematics for example sum of natural numbers.

As per the given sequence,

4,8,12,..

Now, 8 - 4 = 4

12 - 8 = 4

Since the common difference is the same thus it will be an arithmetic expression.

The nth term of AP is given as,

a(n) = a + (n - 1)d

Here, a is the first term, and d is a common difference.

The fourth term of the given sequence is,

a(4) = 4 + (4 - 1)4

⇒ 4 + 12 = 16

Hence "The given sequence 4, 8, 12, ... is an arithmetic expression thus the next term will be 16".

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Answer:

10101100.00111101.00100011.10111010

Step-by-step explanation:

The dotted decimal IP address 172.61.35.186 converts to binary as 10101100.00111101.00100011.10111010. Each segment of the IP address is converted separately and reassembled with dots in between the binary segments.

To convert a dotted decimal IP address to binary, it is important to understand that each segment of the IP address (divided by dots) is converted separately. Let's take for example the IP address 172.61.35.186.

So, the IP address 172.61.35.186, when converted into binary, will be: 10101100.00111101.00100011.10111010.

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Answer:

i believe you have to divide 8 by each number to get the distance between the pairs of integers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

[tex]h=-16t^{2}+64t+3[/tex]

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

[tex]-16t^{2}+64t+3=0[/tex]

The formula to solve a quadratic equation of the form

[tex]at^{2} +bt+c=0[/tex] is equal to

[tex]t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]-16t^{2}+64t+3=0[/tex]  

so

[tex]a=-16\\b=64\\c=3[/tex]

substitute in the formula  

[tex]t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}[/tex]

[tex]t=\frac{-64(+/-)\sqrt{4,288}} {-32}[/tex]

[tex]t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec[/tex]  ---> the time cannot be a negative number

[tex]t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec[/tex]

therefore

The ball will take 4.05 seconds to hit the ground.

Answer:

Step-by-step explanation:

D 36 is the answer

Answer: 2/7

Step-by-step explanation: To simplify the fraction 14/49, we need to find the greatest common factor of 49 and 7 and we can divide our fraction by it.

In this case, the greatest common factor of 14 and 49 is 7 so we can divide both our numerator and denominator by 7.

Therefore, 14/49 as a simplified fraction is 2/7.

Image provided.

Answer:

It travels for 1 h, then stops for 1 h, and finally travels again for 3 h.  

Step-by-step explanation:

The sloped parts of the graph are where the car is moving.

For example, in the first hour the distance travelled changes from zero to 12 mi.

The horizontal part of the graph is where the car is stopped.

For example, between hours 1 and 2, the distance travelled stays the same at 12 mi.

The car travels for 1 h, then stops for 1 h, and finally travels again for 3 h.

Answer:

D. 9.7

Step-by-step explanation:

9.382

9.470

9.090

9.700

Answer:

d. 9.7

Step-by-step explanation:

if you add 0s to each of the answers, itll make sense. For instance:

A. 9.382

B. 9.470

C. 9.090

D. 9.700

Answer:

[tex]\frac{63}{2}[/tex]

Step-by-step explanation:

The n th term of an arithmetic progression is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - [tex]\frac{1}{2}[/tex] and d = 4, thus

[tex]a_{9}[/tex] = - [tex]\frac{1}{2}[/tex] + (8 × 4) = - [tex]\frac{1}{2}[/tex] + 32 = [tex]\frac{63}{2}[/tex]

Answer:

The smaller angle is 18 degrees

The larger angle is 72 degrees

Step-by-step explanation:

x = smaller angle

y = larger angle

y = 4x ---> one angle is 4 times larger than other one.

y + x = 90 ----> the sum of complementary angles is 90 degrees

4x + x = 90 ----> plug in 4x for the larger angle (y) and then solve

5x = 90

x = 18 ----> the smaller angle is 18 degrees

y = 90 - 18

y = 72 ----> the larger angle is 72 degrees

The smaller angle is 18.

The complementary angle is the angle that adds up to 90 degrees always, so when we say that two angles are complementary it means that the sum of the angle or the combined angle is equal to ninety degrees.

The larger angle is 4 times the smaller angle so let the smaller angle be 'x' and the larger angle be 4x.

Hence the sum of both the angle is 90 degrees from the definition of complementary

so 4x+x=90, 5x = 90

dividing the equation by 5

x = 18

Hence the smaller angle is 18 degrees

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Answer:

Hi Sophia! The answer is the option 3!

Step-by-step explanation:

Check the picture!

Answer:x=-36

Step-by-step explanation:

First step: Simplify both sides of the equation by

x=1 ,so you put 1/8 and move x to the side like this 1/8x

Now you got 1/8x+1/2=-4

Step 2: Subtract 1/2 to both sides because it's the smallest constant/number

1/2-1/2=0 and -4-1/2=-9/2

-4 subtracted from 1/2 ,you put a 1 under -4, it would be like this -4/1 subtracted from 1/2

I do the butter-fly method which would be -4*2-1*1 because when you put the fractions like this -4/1-1/2 on paper then you would see why

and you multiply the denominators(bottom), so 1*2=2,and -8-1 equals -9 because -8 is larger than postive 1.

so now we have -9/2

Last step is to multiply by 8 on both sides to get rid of the 8 on the other side(left side) so x will be alone,so 8*-9/2=-36

First you will get -72/2 when you divide it you get -36

Hey!

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Solution:

77.50 = 0.15x + 10

77.50 - 10 + 0.15x + 10 - 10

67.50 = 0.15x

0.15x = 67.50

0.15x/0.15 = 67.50/0.015

x = 450

---------------------------------------

Check:

77.50 = 0.15(450) + 10

77.50 = 67.50 + 10

77.50 = 77.50

---------------------------------------

Answer:

450 text messages can be sent when the monthly charge is $77.50!

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Hope This Helped! Good Luck!

Answer:

The required diagram is shown below:

Step-by-step explanation:

Consider the provided expression.

0.27+0.23= 1/2

We can draw the model of the provided expression.

Step 1: Shade 27 boxes out of 100 boxes,

This will show 0.27

Step 2: Shade 23 more boxes with another color.

This will show 0.23.

The total shaded boxes are 27+23=50.

Which represents 0.27 + 0.23 = 1/2 (1/2=0.50)

The required diagram is shown below:

To visually show the equation [tex]\(0.27 + 0.23 = \frac{1}{2}\)[/tex], see the diagram attached.

To represent the equation [tex]\(0.27 + 0.23 = \frac{1}{2}\)[/tex], follow the steps:

1. Draw a horizontal line to represent the number line.

2. Label the line with points 0, 0.2, 0.4, 0.6, 0.8, and 1.

3. Mark a point at 0.27, slightly past the midpoint between 0.2 and 0.4.

4. Mark another point at 0.23, slightly before the midpoint of 0.2 and 0.4.

5. Draw a vertical line connecting these two points to represent their sum.

6. Label the top of this line with "0.27 + 0.23."

7. Draw a horizontal line segment from the vertical line's top point to the middle of the line, intersecting at the value 0.5.

8. Label this intersection point as [tex]"\(\frac{1}{2}\)"[/tex] to show that [tex]\(0.27 + 0.23\)[/tex]indeed equals[tex]\(\frac{1}{2}\).[/tex]

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Answer:12b^4 + 6b - 18

Step-by-step explanation:

Area of a rectangle is width x height

(4b^4 + 2b - 6) x 3

Multiply the coefficients by 3

So you get

12b^4 + 6b - 18

Katie can bake 48 muffins in 90 minutes because 90 minutes is twice 45 minutes, and since she can bake 24 muffins in 45 minutes, double the time means she can bake double the amount of muffins.

Katie is baking muffins at a rate where she can bake 24 muffins in 45 minutes. To determine how many muffins she can bake in 90 minutes, we simply need to set up a proportion and solve for the unknown quantity.

Step-by-Step Solution:

Therefore, Katie can bake 48 muffins in 90 minutes because the duration is double the time it takes to bake the original 24 muffins, hence she can bake twice as many.

Answer:

193/27

Step-by-step explanation:

8 10/27 - 1 2/9

226/27 - 11/9

= 193/27

Answer:

The Identity Property

Step-by-step explanation:

the Identity Property means the number's Identity stays the same; usually either itself times 1, or plus zero

Answer:

x = -8

QR = 6

PR = 9

Step-by-step explanation:

Alrighty, this one has a lot of steps. We have to think about this logically.

The length of PR is x + 17, and the length of PQ is 3, and the length of QR is 2x + 22.

The length of PR could also be written as the length of PQ + QR, which gives us the formula PR = PQ + QR. This allows us to put all our information into one formula to solve for x.

PR = PQ + QR

x + 17 = 3 + 2x + 22

17 - 3 - 22 = 2x - x

-8 = x

so x = -8

Now we can use that x and plug it into the other two formulas:

QR = 2x + 22

QR = 2(-8) + 22

QR = -16 + 22

QR = 6

And now we plug x into PR:

PR = x + 17

PR = -8 + 17

PR = 9

Alternatively, we can use our other formula, PR = 3 + QR, which gets us the same answer:

PR = 3 + QR

PR = 3 + 6

PR = 9

Answer: 2/5 3/5 2/3 13/15

Step-by-step explanation:

2/3, 3/5, 13/15, 2/5

The least common denominator is: 15.

Rewriting as equivalent fractions with the LCD:

10/15, 9/15, 13/15, 6/15

Ordering these fractions by the numerator in order from least to greatest:

6/15 < 9/15 < 10/15 < 13/15

Therefore, your input in order from least to greatest is:

2/5 < 3/5 < 2/3 < 13/15

Answer: 36 3/14 miles per hour

Step-by-step explanation:

multiply the speed of a human (5 4/7) by 6 1/2 or 6.5 and you get your answer

To find the fish's speed, convert the mixed numbers 5 4/7 and 6 1/2 to improper fractions and multiply them. The result, 507/14, converts back to a mixed number as approximately 36.21 miles per hour.

To solve this question, we need to multiply the person's swimming speed with the mentioned relative speed of the fish. A person can swim at a speed of 5 4/7 miles per hour, and since the fish can swim 6 1/2 times faster, we multiply 5 4/7 by 6 1/2.

The first step is to convert these mixed numbers to improper fractions. 5 4/7 becomes 39/7 and 6 1/2 becomes 13/2.

Multiplication of fractions involves multiplying the numerators together to get the new numerator and the denominators together to get the new denominator. So the multiplication (39/7)*(13/2) leads to a result of 507/14.

This can be now converted back to a mixed number, giving us an approximate answer of 36.21. Therefore, the fish swims at a speed of approximately 36.21 miles per hour.

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Using the two given equations:

x - y = 34

x +y = 212

Rewrite the first one in terms of x:

x = 34 + y

Now replace x in the 2nd equation:

34 + y + y = 212

Simplify:

34 +2y = 212

Subtract 34 from both sides:

2y = 178

Divide both sides by 2:

y = 178/2

y = 89

Now replace y in an equation to solve for x:

x + 89 = 212

x = 212-89

x = 123

He has 123 domestic stamps and 89 foreign stamps.

Malik has 123 domestic stamps and 89 foreign stamps

The equations are given as:

[tex]x - y = 34[/tex]

[tex]x + y = 212[/tex]

Make x the subject in [tex]x - y = 34[/tex]

[tex]x =34 + y[/tex]

Substitute 34 + y for x in [tex]x + y = 212[/tex]

[tex]34 + y + y = 212[/tex]

Evaluate like terms

[tex]34 + 2y = 212[/tex]

Subtract 34 from both sides

[tex]2y = 178[/tex]

Divide both sides by 2

[tex]y = 89[/tex]

Substitute 89 for y in [tex]x =34 + y[/tex]

[tex]x = 34 + 89[/tex]

[tex]x = 123[/tex]

Hence, Malik has 123 domestic stamps and 89 foreign stamps

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[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=37.68 \end{cases}\implies 37.68=2\pi r\implies \cfrac{37.68}{2\pi }=r \\\\\\ \stackrel{assuming~\pi =3.14}{\cfrac{37.68}{2(3.14)}}=r\implies \boxed{6=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (6)^2\implies A=36\pi \implies A\approx 113.10[/tex]

Step-by-step explanation:

1 yard equal to 91.44 centimeters (cm)

Answer:  b ≤ -18

Step-by-step explanation:

Isolate the variable by multiplying both sides by -3.  Remember that when you multiply or divide by a negativem the symbol flips.

[tex]\dfrac{b}{-3}\geq6\\\\\\\dfrac{b}{-3}(-3)\geq6(-3)\\\\\\\large\boxed{b\leq-18}[/tex]

Answer:

178 m²

Step-by-step explanation:

You want to find A - D - B + C

A = 12 * (12 + 4) = 12 * 16 = 192

D = 4 * 8 = 32

B = 4 * 3 / 2 = 12 / 2 = 6

C = 6 * 8 / 2 = 48 / 2 = 24

192 - 32 - 6 + 24 = 160 - 6 + 24 = 154 + 24 = 178