Both of the equations below have the same solution when solved for x. What is the value of t?

Area of the circle: 64π ft²

Radius of circle: 8 ft

The circumference formula: C = d · π

We can plug in the values we know.

16π = d · π; We can cancel out the π, as it is on both sides.

d = 16ft; r = 8ft

The area formula: A = πr²

A = 64π ft²

Answer:

4.7333....................

Step-by-step explanation:

First combine like-terms. The equation now is 15p-12=59. Next add 12 to both sides. The equation now is 15p=71. Last divide both sides by 15. Now the equation is 4.73333....

Answer:

here's your answer

hope this helped you

please mark as the the brainliest(ㆁωㆁ)

Step-by-step explanation:

Answer:

I think it would be considered 1

Step-by-step explanation:

If you have a fraction that has the same integer for the numerator and denominator, that fraction would equal to 1 because the fraction is completed. As an example, 5/5 is equal to one because there is 5 pieces of the fraction needed to complete it, and there's and available 5. Meaning that there's 5 out of 5 pieces needed to create a whole number which would be 1.

Decimal form: .2 + .2 + .2 + .2 + .2 = 1.0

Written form: 1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 5/5 or 1

Answer:

  33 1/3 lb

Step-by-step explanation:

When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:

  (75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb

At 12 feet apart, the attraction force is 33 1/3 pounds.

Answer:

the equation does not proove

Step-by-step explanation:

l.h.s

(3-5)(4)

12-20

-8

r.h.s

3(4)-5

12-5

7

therefore, l.h.s is not equal to r.h.s so the equation is wrong

Answer:

x = 14.75

Step-by-step explanation:

I just used the equation 6x + 10 and replaced the x with every single answer choice. Angle B kinda looks like it's close to a 90⁰ angle but a little more so I chose the answer that fit well with my statement.

Answer:

Jamal is traveling at a constant speed.

Step-by-step explanation:

because it's a line going straight and not down.

Answer:- the equation have -2x common.

Answer:

18

Step-by-step explanation:

8+4x=80

4x=72

x=18

Check

8+4x=80

8+4(18)=80

8+72=80

80=80

Answer:

C 2b3 + b2 - 2b - 380

Step-by-step explanation:

Given:

Factory A: 2b^3 – 3b^2 + b - 120

Factory B: 4b^2 – 3b – 260

The company's total output = factory A + factory B

= (2b^3 – 3b^2 + b - 120) + (4b^2 – 3b – 260)

= 2b^3 – 3b^2 + b - 120 + 4b^2 – 3b – 260

Collect like terms

= 2b^3 – 3b^2 + 4b^2 – 3b + b - 120 - 260

= 2b^3 + b^2 - 2b - 380

C. 2b^3 + b^2 - 2b - 380

Option C is the correct answer

Answer: C) 2b^3+b^2-2b-380

Step-by-step explanation:

I had this question on a recent test and got it right

Hope this helps! :)

Answer:c and d

Step-by-step explanation:

Statements in the options 3 and 4 are true inequalities.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here,

1) a - b < a + b

Here, the statement is not true.

2) ac ≥ bc

Here, the statement is not true.

3) If a ≥ b, then a + c ≥ b + c

Here, the statement is true.

4. If c > d, then a-c < a-d

Here, the statement is true.

5) If a < b, then a < b + c

Here, the statement is not true.

Therefore, options 3 and 4 are correct answers.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

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Let's consider the standard and usually used value of irrational numbers given in the question.

So, let's see the options:

A) GiveN:

[tex] \dfrac{\pi}{2} + \pi[/tex]

Let consider π = 3.14

[tex] \dfrac{3.14}{2} + 3.14[/tex]

[tex]1.57 + 3.14[/tex]

[tex]4.71 \: (approx.)[/tex]

B) GiveN:

[tex]2\pi - 1[/tex]

Here also, let's consider the value be 3.14

[tex]2 \times 3.14 - 1[/tex]

[tex]6.28 - 1[/tex]

[tex]5.28 \: (approx.)[/tex]

C) GiveN:

[tex]4 \sqrt{2} [/tex]

Let's consider the value of √2 be 1.414

[tex]4 \times 1.414[/tex]

[tex]5.6516 \: (approx.)[/tex]

D) GiveN:

[tex]8 - \sqrt{3} [/tex]

Let's consider the value of √3 be 1.732

[tex]8 - 1.732[/tex]

[tex]6.268 \: (approx.)[/tex]

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

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Answer:

1.125

Step-by-step explanation:

Multiply first

(9*12)/(12*8)

108/96

then divide

1.125

Answer:

72

Step-by-step explanation:

9 × 12 = 108

108 ÷ 12 × 8 = 72

Answer:

Jamar is correct.

Step-by-step explanation:

The scores are as follows :

−3, 2, 0, −1, 2, −4.

These numbers include negative, positive and 0 as well. These numbers cannot written in a fractional form. It means they are integers.

Here, amar says these numbers can all be described as integers, while Sophia says they are whole numbers.

It would mean that Amar is correct. Sophia is incorrect because she told that the are whole numbers. Whole numbers are simply number like 0,1,2,3,4....

Answer:

24

Step-by-step explanation:

let Sammy's age be x and Lisa y

since Lisa is 4years older than Sammy

y=x+4

28-4=y

y=24

Answer:

12.5 mini pies or 12 depending on what it asks for

Step-by-step explanation:

Divide 2.50 by 0.2 to get 12.5

The answer can also be 12 because some teachers want students to know that you can't really make half a pie. Whatever your teacher prefers.  

Answer:

no

Step-by-step explanation:

Answer:

8 6/7 is greater than 8 3/5

Step-by-step explanation:

Step 1:

8 3/5 = 8 21/35

Step 2:

8 6/7 = 8 30/35

Answer:

8 6/7 is greater than 8 3/5

Hope This Helps :)

Answer:

[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]

Step-by-step explanation:

We are given the equation:

[tex]-2x^2-6x+3=0[/tex]

And we want to solve it using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

First, let's identify our coefficients.

The a is the coefficient in front of the x² term, so a = -2.

b is the coefficient in from of the x term, so b = -6.

And c is the constant so c = 3.

Substitute:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(-2)(3)}}{2(-2)}[/tex]

Simplify. -(-6) is just 6. (-6) squared is 36. -4(-2)(3) is 24. And 2(-2) is -4. So:

[tex]\displaystyle x=\frac{6\pm \sqrt{36+24}}{-4}[/tex]

Add:

[tex]\displaystyle x=\frac{6\pm \sqrt{60}}{-4}[/tex]

Simplify the square root:

[tex]\sqrt{60}=\sqrt{4\cdot 15}=\sqrt{4}\cdot\sqrt{15}=2\sqrt{15}[/tex]

So:

[tex]\displaystyle x=\frac{6\pm 2\sqrt{15}}{-4}[/tex]

Simplify by dividing everything by 2:

[tex]\displaystyle x=\frac{3\pm \sqrt{15}}{-2}[/tex]

Move the negative in the denominator to the numerator. The plus/minus sign will not change.

[tex]\displaystyle x=\frac{-3\pm \sqrt{15}}{2}[/tex]

So, our zeros are:

[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]

Answer:

792, 784, 775, 675, 645, 434, 432, 415, 342, 324.

Answer:

-9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Vocabulary Check:

Integers are numbers that are neither fractions nor decimals.

Rational numbers are numbers that can be written as a fraction, unlike irrational numbers. Whole numbers are counting numbers, including 0.

Integers = -23, 2, 3, 16, 0, -4

Whole Numbers = 0, 2, 3, 16

Rational = -23, 2, 0.7, 5, 16, 0, 3.89, -4

Irrational: None

Answer:

for 5 probability is 1/6

for not a five = 1-1/6 = 5/6

Step-by-step explanation:

Answer:

50 goes to 25 to 12.5 then 6.25%

Step-by-step explanation:

i hope i helped

Answer:

Option (1) is the correct option.

Step-by-step explanation:

From the given frequency table,

Option (1).

Tossing an even number is more likely than tossing an odd number.

Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9

Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7

Which shows frequencies of tossing even numbers are more.

Therefore, Option (1) is correct.

Option (2)

The number 2 will be the next number tossed.

Since it is unpredictable, therefore, this option is incorrect.

Option (3)

Number 4 is half as likely to be tossed as the number 3.

Frequency of tossing number 3 = 6

Frequency of tossing 4 = 10

Frequency of tossing 3 is not the half of tossing 4.

Therefore, Option (3) is incorrect.

Option (4)

Probability of tossing the number 2 = [tex]\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}[/tex]

                                                           = [tex]\frac{10}{8+10+6+10+7+9}[/tex]

                                                           = [tex]\frac{10}{50}[/tex]

                                                           = [tex]\frac{1}{5}[/tex]

Therefore, option (4) is incorrect.

Answer:

5.

[tex]\left(8-6\right)^5\cdot \:2^{-4}+2^0[/tex]

Subtract 8 - 6 = 2:

[tex](2)^5\cdot \:2^{-4}+2^0[/tex]

Anything to the power of 0 is 1. (Except 0):

[tex]2^5\cdot \:2^{-4}+1[/tex]

Multiply:

[tex]2^{5-4}+1[/tex]

[tex]2^1+1[/tex]

[tex]2+1[/tex]

[tex]3[/tex]

6.

[tex]\frac{\left(9-1\right)^5}{\left(6+2\right)^3}[/tex]

Solve the brackets: 9 - 1 = 8 and 6 + 2 = 8:

[tex]\frac{8^5}{8^3}[/tex]

[tex]8^{5-3}[/tex]

[tex]8^2[/tex]

(or [tex]64[/tex] for exact value)

Answer:

18%:540 20%:600 22%:660

Step-by-step explanation:

18%:540 20%:600 22%:660

20-2=18 20+2=22

The required least to the greatest number of students their favorite color is red is 540 and 660 respectively.

Given that,
A group of students was asked about their favorite colors,
20% of the students said that their favorite color is red.
There are about 3000 students in the school.
The margin of error is ±2%,
To determine what is the range of the number of students who likely say that their favorite color is red

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Total number of students = 3000
Number of students like red color = 20% of 3000 = 0.20 * 3000 = 600
the margin of error ±2% of 3000 = ± 0.02 * 3000 = ± 60
Least number of students their favorite color is red = 600 - 60 = 540
Greatest  number of students their favorite color is red = 600 + 60 = 660

Thus, the required least to the greatest number of students whose favorite color is red is 540 and 660 respectively.

Learn more about arithmetic here:

brainly.com/question/14753192

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