1/4t+4=3/4(t+8) solve with steps Please

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:  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:

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:

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:

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

[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]

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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Answer:

52*2=104

no you cannot complete the homework under two hours

Step-by-step explanation:

since 52*2 is only 104, and you need 130 pages to complete it, i would say that you can't complete the homework under two hours

Step-by-step explanation:

1 yard equal to 91.44 centimeters (cm)

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

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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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:

Convert  15 %  to a decimal.  

Then multiply 0.15  x 13450. That means the answer is $2,017.50

Please mark brainliest if this helped.

The down payment for the car is $2,017.50.

The down payment can be found by multiplying the cost of the car by the percentage of the down payment. In this case, the down payment is calculated as follows:

Down payment = $13,450 * 15%

Thus, the down payment is $2,017.50.

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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

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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:

Hi Sophia! The answer is the option 3!

Step-by-step explanation:

Check the picture!

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:

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: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

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:

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:

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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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:Well, one of those rules is called the subtraction property of inequality, and it basically says that if you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well. -virtualnerd.com

Step-by-step explanation:

The Subtraction Property of Inequalities allows subtracting the same value from both sides of an inequality without altering its direction, a fundamental concept in algebra.

The Subtraction Property of Inequalities states that you can subtract the same value from both sides of an inequality without changing the inequality's direction. This property is essential in solving inequalities and maintaining the inequality relationship.

For example:

If 3 < 7, then subtracting 2 from both sides gives 1 < 5, which still holds true.

Understanding and applying this property correctly is crucial in algebra and helps in solving various mathematical problems.

What is Reciprocal?

The reciprocal of a number is 1 divided by that number.

For example, the reciprocal of 3 is 1 divided by 3, which is 1/3.

In the question, it is given:

[tex]\frac{5}{7} y=6\\\\y=\frac{6*7}{5} \\\\y=\frac{42}{5}[/tex]

Thus, the value of y= 42/5

In terms of reciprocal, it can be written as: y=5/42.

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Answer:

This is the answer

Step-by-step explanation:

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:

Step-by-step explanation:

Answer:

167

Step-by-step explanation:

Let n be your first number. Then the second number is 5n; and the third number is n+100. So:

n+5n+n+100=569

Final answer:

The three numbers in question are 65, 325, and 165, found by setting up an equation based on the given relationships and solving for the first number.

Explanation:

Finding the Three Numbers

Let's denote the first number as x. According to the problem, the second number is 5 times the first number, which can be written as 5x. The third number is 100 more than the first number and can be represented as x + 100. The sum of these three numbers equals 555, so we can set up the following equation to solve for x:

x + 5x + (x + 100) = 555

Combining like terms, we get:

7x + 100 = 555

Subtracting 100 from both sides gives us:

7x = 455

Now divide both sides by 7:

x = 65

The first number is 65. Using this value, we can find the second number:

5x = 5 × 65 = 325

And the third number:

x + 100 = 65 + 100 = 165

Therefore, the three numbers are 65, 325, and 165.