a wrestler is weighing in for their match this evening. their normal weight is 168 pounds, but that weight can vary by as much as 3.2 pounds. write an equation that models this situation and find their minimum and maximum weight.

Answer:

C≈12.57

Step-by-step explanation:

The formula for circumference if 2(3.14) * r

The r represents the radius do you would just take 2 * 3.14 which is 6.28.

Next, you would take 6.28 * r (which is 2 meters) and you get 12.566, but if you're rounding it would be 12.57.

Make sure to label your answers

I hope this helped!

Among the options given, 2/11 is most similar to 0.18 when we convert these fractions to their decimal format. Remember that this is an approximation since 2/11 results in a repeating decimal.

The given expression is equivalent to 0.18. To find out which among the provided options this is equivalent to, we need to convert these fractions to decimal format. Let's start with A.
A. 1/9 is equal 0.111 repeating.
B. 2/11 equals approximately 0.1818 repeating.
C. 1/11 equals approximately 0.0909 repeating.
D. 11/2 equals 5.5.

Comparing these to our given expression of 0.18, we find that Option B (2/11) is most closely equivalent after rounding. It's worth noting the repeating decimal in 2/11, which is why it is an approximation rather than an exact equivalent.

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The value of [tex]\log_5{125}[/tex] is 3.

Solution:

Step 1: Given expression is [tex]log_5{125}[/tex].

125 can be expressed as [tex]5^3.[/tex]

[tex]\log_5{125}=\log_5{5}^3[/tex]

Step 2: Using log rule: [tex]\log_a{x^b}=b\log_a{x}[/tex]

 [tex]\log_5{5}^3=3\log_5{5}[/tex]

Step 3: Using log rule: [tex]\log_a{a}=1[/tex]

[tex]\log_5{5}= 1[/tex]

⇒ [tex]3\log_5{5}= 3(1)[/tex]

⇒ [tex]3\log_5{5}= 3[/tex]

∴ [tex]\log_5{125}=3[/tex]

Hence the value of [tex]\log_5{125}[/tex] is 3.

Answer:4 out of 19

Step-by-step explanation:

you add them all and then say 4 because that is  yellows amount of marbles

Answer:

1.5w² + 10w + 16 sq, inches.

Step-by-step explanation:

The height of the portrait without the frame is 1.5 times its width.

Let the height is 1.5w inches and width is w inches.

Now, the frame around the portrait is 2 inches wide.

So, the dimensions of the portrait with frame are (1.5w + 4) inches by (w + 4) inches.

Therefore, the area of the framed portrait will be  

(1.5w + 4)(w + 4)  

= 1.5w² + 10w + 16 sq, inches. (Answer)

Answer:

6 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to find the Least common Multiple of 1,2,3

LCM (1,2,3) = 6

Answer:

sorry where is the table? i dont see the picture... mabye it isnt loading for some-reason

Step-by-step explanation:

sorry wish i could help :(

Answer:

I don't know which table you need help with, so.. Yeah, this may or may not be what you need help with.

But the answer to the table I put is -3/2

Step-by-step explanation:

Sorry if this wasn't what you were looking for!

Answer:

Supplementary

Step-by-step explanation:

Supplementary angles add to 180 degrees.

Answer:

Supplementary

Step-by-step explanation:

VSW and TSW combine and make 180. Complementary is when they make up to 90

Answer: 2 and 4/5

Explanation: To subtract mixed numbers, first subtract the fractions. Notice here however that we have 2/5 - 3/5 which will give us a negative fraction. Since this will cause us a lot of trouble, instead, let's rewrite the first mixed number.

We can do this by thinking of 8 and 2/5 as 7 + 1 and 2/5 or 7 + 7/5 by changing 1 and 2/5 to the improper fraction 7/5. So 8 and 2/5 can be written as 7 and 7/5.

So we have 7 and 7/5 - 5 and 3/5.

Now, subtract the fractions. So we have 7/5 - 3/5 which is 4/5. Then subtract the whole numbers so we have 8 - 5 which is 2.

2 and 4/5 is in lowest terms so 8 and 2/5 - 5 and 3/5 is 2 and 4/5.

Answer: h = 1.25

Step-by-step explanation:

divide 10 by 8 to get 1.25 or 5/4

In this question, you're solving for h.

Solve for h:

10=8h

"h" can't have a number next to it, it has to be by itself, so divide both sides by 8

1.25 = h  

Answer:

1.25 = h

Answer:

false?

Step-by-step explanation:

do u mean equals? and the x is x not multiply?

Answer:

Step-by-step explanation:

A) 15 and 12

Answer:48 feet

Step-by-step explanation:

16x3=48

Answer:38 feet tall

Step-by-step explanation:

Answer:

y ≤ 3x-4

-1 ≤ y ≤ 2

step by step explanation:

the highlighted area is situated under the line of equation y=3x-4 and respectivelybetween the two lines of equations y=-1 and y=2

Then the system of inequalities is :

y ≤ 3x-4

-1 ≤ y ≤ 2

Answer:

y ≤ 3x-4

-1 ≤ y ≤ 2

Answer:

26.25 feets

Step-by-step explanation:

Given:

Each headbands requires 1 7/8 feets fabric

Dedra has to  make 14 headbands .

Question asked:

how much fabric will she need  to make 14 headbands = ?

Solution:

By applying unitary method :

Length of fabric require to make a headband = [tex]1\frac{7}{8}[/tex]

                                                                           = [tex]\frac{15}{8}[/tex]

Length of fabric require to make 14 headbands = [tex]14\times\frac{15}{8}[/tex]

                                                                                = [tex]\frac{210}{8}[/tex]

                                                                                = [tex]26.25 feets[/tex]

Therefore, Dedra needs 26.25 feets fabric to make 14 headbands.

Yes, a rectangle is always a parallelogram.

The answer is yes.

Rectangles are quadrilaterals with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal.

Answer:

3(3x+7)

Step-by-step explanation:

9x+21=3(3x+7)

The pressure [tex]64kg/cm^{2}[/tex] has to be applied to have a volume of [tex]200cm^{3}[/tex]

Explanation:

According to Boyle's law, for a fixed amount of gas, the volume and pressure are inversely proportional.

[tex]P_{1} \cdot V_{1}=P_{2} \cdot V_{2}[/tex]

Substituting the values, we get,

[tex]40 \times 320=P_{2} \times 200[/tex]

Dividing both sides by 200,

[tex]\frac{40 \times 320}{200}=P_{2}[/tex]

Simplifying the terms, we get,

[tex]\begin{aligned}\frac{12800}{200} &=P_{2} \\64 &=P_{2}\end{aligned}[/tex]

Thus, the pressure [tex]64kg/cm^{2}[/tex] has to be applied to have a volume of [tex]200cm^{3}[/tex]

Answer:

Angles of triangle are 40°,60° and 80°.

Step-by-step explanation:

Given:

if angles of a triangle are 2 is to 3 is to 4.

Let the common factor between the angles be 'x'.

So we can say that;

Angle 1 = [tex]2x[/tex]

Angle 2 = [tex]3x[/tex]

Angle 3 = [tex]4x[/tex]

We need to find the value of each angle.

Solution:

Now we know that;

"Sum of all angles of triangle is 180°."

framing in equation form we get;

[tex]Angle \ 1+Angle\ 2+Angle \ 3 =180[/tex]

Substituting the values we get;

[tex]2x+3x+4x=180\\\\9x=180[/tex]

Dividing both side by 9 we get;

[tex]\frac{9x}{9}=\frac{180}{9}\\\\x=20[/tex]

Angle 1 = [tex]2x=2\times20=40\°[/tex].

Angle 2 = [tex]3x=3\times20=60\°[/tex]

Angle 3 = [tex]4x=4\times20=80\°[/tex]

Hence Angles of triangle are 40°,60° and 80°.

Answer:

C. y - 7 = -13(x -  5)  

Step-by-step explanation:

The point-slope equation for a straight line is

y - y₁ = m(x - x₁)

where m is the slope and(x₁, y₁) is a point on the line.

If m = -13 and  (5, 7) is the point, the equation is

y - 7 = -13(x -  5)

Answer:

Step-by-step explanation:

5*743=(5*700)+(5*40)+(5*3)

Option A

The simple interest earned over 6 years is $ 4050

Solution:

Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year

The formula for simple interest is given as:

[tex]Simple\ Interest = \frac{p \times n \times r}{100}[/tex]

Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest

From given,

p = 15000

r = 4.5 %

n = 6 years

Substituting the values we get,

[tex]Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050[/tex]

Thus simple interest earned over 6 years is $ 4050

Final answer:

Martha will earn $4,050 in simple interest over 6 years on her $15,000 savings account at a 4.5% annual rate. This is calculated using the simple interest formula, Interest = Principal × Rate × Time.

Explanation:

To calculate the simple interest that Martha will earn over a period of 6 years, we will use the formula for simple interest: Interest = Principal × Rate × Time. Here, the principal amount is $15,000, the annual interest rate is 4.5% (which is 0.045 in decimal form), and the time is 6 years.

Let's plug these values into the formula:

Interest = $15,000 × 0.045 × 6

Interest = $15,000 × 0.27

Interest = $4,050

Therefore, the total amount of interest Martha will earn over 6 years is $4,050, which matches option A.

Answer:

D. 15 cm

Step-by-step explanation:

9² + 12² = x²

81 + 144 = x²

225 = x²

√225 = x

15 = x

Answer:

$3.90 is the answer.

Step-by-step explanation:

9.75 ÷ 2.5 = 39/10 (3.9).

To check do 3.9 × 2.5 = 9.75.

Final answer:

To determine the price per pound of chocolate covered peanuts, divide the total cost ($9.75) by the total weight (2.5 pounds), resulting in $3.90 per pound.

Explanation:

The question asks to calculate the price per pound of chocolate covered peanuts Roman purchased.

Here is a step-by-step explanation:

First, it is important to take note of the total weight of the chocolate covered peanuts, which is 2 1/2 pounds or 2.5 pounds.

Next, we look at the total price paid for the 2.5 pounds, which is $9.75.

To find the price per pound, divide the total price by the total weight: $9.75 ÷ 2.5 pounds.

The price per pound turns out to be $3.90.

Therefore, the price per pound of the chocolate covered peanuts is $3.90.

Answer:

$0.85 per tomato

Step-by-step explanation:

A unit rate is the cost for one item. Like $0.99 for this one bag of skittles.

So $3.40 divided by four is $0.85.

The unit rate would be 0.85. If you divide 3.40 by 4 you 0.85

Answer: it is linear

Step-by-step explanation:

It is linear because the highest power of the unknown variable is 1

Answer:

[tex]g(x)=-4(\frac{1}{2})^x[/tex]

Step-by-step explanation:

Given:

The parent function is given as:

[tex]f(x)=4(\frac{1}{2})^x[/tex]

The function [tex]g(x)[/tex] is a reflection of the parent function about the x-axis.

Now, in order to find the function g(x), we need to use the rules of function transformations.

As per transformation rules, when a function is reflected about the x-axis, the function rule is given as:

[tex]f(x)\to-f(x)[/tex]

So, the new function or the reflected function is the negative of the original function.

Therefore, the reflected function [tex]g(x)[/tex] is given as:

[tex]g(x)=-f(x)\\\\g(x)=-4(\frac{1}{2})^x[/tex]

Hence, the function that represents the reflection of the given function across the x-axis is [tex]g(x)=-4(\frac{1}{2})^x[/tex]

The ratio of width to length in simplest form is 19 : 44

Solution:

Given that, A cell phone is 132 mm long and 57 mm wide

Length of cell phone = 132 mm

Width of cell phone = 57 mm

We have to find the ratio of width and length in simplest form

[tex]\frac{Width}{Length} = \frac{57}{132}\\\\\text{Reduce to lowest terms }\\\\\frac{width}{length} = \frac{57 \div 3}{132 \div 3}\\\\\frac{Width}{Length} = \frac{19}{44}[/tex]

In ratio form, we know that,

[tex]\frac{a}{b} = a : b[/tex]

Writing in ratio form, we get

Width : length = 19 : 44

Thus the ratio of width to length in simplest form is 19 : 44

Answer:

15/2

Step-by-step explanation:

2x+3=18

2x=18-3

2x=15

x=15/2

Answer:

Therefore the Expression will be.

[tex]6-(-2x)[/tex]

[tex]6+2x[/tex] ...As minus - minus sign becomes plus.

Step-by-step explanation:

What is six minus negative two x?

Solution:

It is the Algebraic Expression in Statement form.

Algebraic Expression is given in the form numbers and variables with the operands such as

Hence Our Statement is " six minus negative two x "

i.e. Number 6 minus sign then again a minus sign of 2x.

Therefore the Expression will be.

[tex]6-(-2x)[/tex]

Also equals

[tex]6+2x[/tex] ...As minus - minus sign becomes plus.