A 87-foot length of rope is cut into 3 pieces, so that the second piece is two times the length of the first piece, and the third piece is 6 feet more than six times the length of the first piece. Find the length of each piece. length 1 = feet length 2 = feet length 3 = feet Question Help: Message instructor Submit Question

Answer:

Marci answered 40 out of 50

Marci answered 2 more questions correctly.

Step-by-step explanation:

Donovan got 38 out of 50

Marci got 80% which means 40 out of 50

40-38 = 2

Range = 9-3 = 6

Mode = 7

Mode = 8

Median = 3

Median = (5+5)/2 = 5

Range = 9-2 = 7

Range = 9-2 = 7

The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.

To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.

Starting with -4x + y = -3, we isolate y by adding 4x to both sides:

y = 4x - 3

Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.

If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:

y > 4x - 3

If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:

y < 4x - 3

The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.

For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.

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Answer:

c

Step-by-step explanation:

Answer:

a and c

Step-by-step explanation:

dont know how to explain so uhhhh.

Answer:

x = 5.7 years after 2000

Step-by-step explanation:

So the year when both the amount of users were the same can be found by using the both equations to solve for x  (since y is the same)

48x + y = 729

we will take the value of y from this equation and use it in the other equation

y = 729 - 48x

135x - 2y = -140

135x - 2(729 - 48x) = -140

135x -1458 + 98x = -140

231x = 1318

x = 1318/231

x = 5.7 years after 2000

Answer:

-8 ≤ y ≤ 7

Step-by-step explanation:

Answer:

B?

Step-by-step explanation:

The larger number is obtained as 1.3.

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 1.05 and 1.3.

The decimal 1.3 can be written as 1.30.

Now, the two decimals can be compared as below,

1.05 and 1.30

Both the decimals have equal integer part.

Digit at tenths of 1.05 is 0 and for 1.30 is 3.

Since, 3 > 0.

⇒  1.30 > 1.05

Hence, 1.3 is greater than 1.05.

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Answer:

16/25

Step-by-step explanation:

4/10=40/100

24/100=24/100

40+24=64

64/100

16/25

Answer:

16/25

Step-by-step explanation:

Step-by-step explanation:

The given equation is :

2x+7y=11

We need to tell the point (-5,3) lies on the graph of the above equation of not.

Put x = -5 and y = 3 in the LHS of the above equation.

LHS = 2x+7y

= 2(-5)+7(3)

= -10 +21

= 11

It means, when we put  x = -5 and y = 3 in the above equation, we get 11. Hence, (-5,3) lies on the graph of the equation.

The f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.

A fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Total items in the list is x and Shelby found f(x) item.

Tom found 1/3 of the items, and

Lily found 4/9 of the items.

Then,

\(\rm f(x) = x - (\dfrac{1}{3}+ \dfrac{4}{9})\\\\\rm f(x) = x - (\dfrac{3+4}{9})\\\\\rm f(x) = x - \dfrac{7}{9}\\\\\\\rm f(x) = \dfrac{9x-7}{9}\\\\\)

Thus, the f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.

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From greatest to least5.25, 1, 3/4 (or 0.75), -5/2 (or -2.5), -8.345

To sort these numbers from largest to smallest, we must establish a consistent format for swift comparison.

Among the various numbers included are whole figures, fractions and decimals, causing us to mix them uniformly first so that they match— in decimals.

-5/2 = -2.5

5.25 = 5.25 (no alteration required)

1 = 1.0 (to simplify analysis, only adding decimal points)

3/4 = 0.75

-8.345 = -8.345 (essentially unchanged)

At this point, we can effortlessly contrast and compare the numbers.

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The algebraic representation of the expression is (m + n)

sum of m and the number after it

= m + n

Therefore, the algebraic representation of the expression is (m + n)

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Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Answer:

2,12,42,132,402

Step-by-step explanation:

Answer:

2,4,12,36,108

Step-by-step explanation:

Answer:-

36*5= 180

44*4= 176

28*3= 84

4*2=8

180-176-84= (-80)

-80/8=(-10)

Step-by-step explanation: Hope this helps. Mark me brainliest :)))

If Triangle SRTs angle R is 59° angle T is 79°  the length of ST to the nearest 10th of a yard is 6.1

Since we have given that

ΔSRT is a triangle with measures :

SR = 7 yd

∠T = 79°

∠R = 59°

We need to find the side ST .

To find the length of ST, we can use the Law of Sines, which states:

sin(T) / SR = sin(R) / ST

sin(79°) / 7 = sin(59°) / ST

0.14 = sin(59°) / ST

ST =  sin(59°)/0.14 ⇒ 0.8572 / 0.14 ≈ 6.1229

Therefore, the length of ST is approximately 6.1 yards to the nearest tenth of a yard

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Answer: 64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

Here, r= 0.80

\(\Rightarrow\ r^2= (0.80)^2=0.64\)

That means 64% of the variability in weight can be explained by the relationship with height.

The variability in weight is 64 % , explained by the relationship with height.

Correlation coefficients are always values between -1 and 1, where -1 shows a perfect, linear negative correlation, and 1 shows a perfect, linear positive correlation.

The correlation coefficient is measure the strength of the linear relationship between two variables in a correlation analysis.

Correlation coefficient is represented by r.

Given that, the correlation between height and weight for adults is 0.80.

                   \(r=0.8\)

The variability in weight is, = \(r^{2}=(0.8)^{2} =0.64\)

Thus, the variability in weight is 64 % , explained by the relationship with height.

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Let \(f(x) = x^2+4x+1\). If \(f^{-1}(x)\) is the inverse of \(f(x)\), then

\(f\left(f^{-1}(x)\right) = x\)

We're told that \(f(x)\) has a domain of x ≥ -2, so the above can only be valid for \(f^{-1}(x)\ge-2\).

Evaluate the left side in this equation and solve for the inverse :

\(f^{-1}(x)^2 + 4f^{-1}(x) + 1 = x \\\\ f^{-1}(x)^2 + 4f^{-1}(x) + 4 = x + 3 \\\\ \left(f^{-1}(x) + 2\right)^2 = x + 3 \\\\\sqrt{\left(f^{-1}(x)+2\right)^2} = \sqrt{x+3} \\\\ \left|f^{-1}(x) + 2\right| = \sqrt{x+3}\)

Since \(f^{-1}(x)\ge-2\), or \(f^{-1}(x)+2\ge0\), by definition of absolute value we have

\(\left|f^{-1}(x)+2\right| = f^{-1}(x)+2\)

Then it follows that

\(f^{-1}(x) + 2 = \sqrt{x+3} \implies \boxed{f^{-1}(x) = \sqrt{x+3}-2}\)

Answer:

People with dependents

Step-by-step explanation:

AP3X

Answer:

Step-by-step explanation:

700mins = 26.70 x 5

=133.5

Email = 2.67 x 5 = 13.35

173 - 13.35

Amount spend for calls

= $159.65

The final velocity of the parameters is 13.5m/s

In this question, the given parameters are represented as

Formula: v = u + at

Initial velocity = 3m/s

Acceleration = 1.5m/s²

Time = 7 seconds

When these parameters are represented using their required notation, we have the following representations

u = 3m/s

a = 1.5m/s²

t = 7 s

Next, we substitute the above parameters in the above equation

So, we have the following representation

v = 3 + 1.5 * 7

Evaluate the products

This gives

v = 3 + 10.5

Evaluate the sum

So, we have the following representation

v = 13.5

The notation v represents the final velocity

Hence, the final velocity is 13.5m/s

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Answer:

11 1/9 unit^2.

Step-by-step explanation:

3 1/3 * 3 1/3

= 10/3 * 10/3

= 100/9

= 11 1/9.

Answer:

b

Step-by-step explanation:

Answer:

14%

Step-by-step explanation:

Divide 770 by 5500.

You get 7/50 or 0.14.

When you convert that to a percentage, you get 14%

Based on the information given, the percentage increase will be 14%.

From the information given, it was stated that the number of foxes in national Forest has grown by 770 in the past year and that the number of foxes at the beginning of the year was 5500.

The percentage increase will be:

= 770/5500 × 100.

= 0.14 × 100

= 14%

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Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

Answer: 36

Step-by-step explanation: 10^2 is 100 and 4^3 is 64, and 100-64=36

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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Answer:

the final equation in slope-intercept form is y = 3x + 1.

Step-by-step explanation:

To isolate y and change the equation 3x + y = -1 into slope-intercept form, we can use the following steps:

Subtract 3x from both sides of the equation to isolate y on the left side of the equation:

y = -3x - 1

Divide both sides of the equation by -1 to change the sign of y:

y = 3x + 1

This is the slope-intercept form of the equation, where 3x is the slope and 1 is the y-intercept. In slope-intercept form, the equation has the form y = mx + b, where m is the slope and b is the y-intercept.

Answer

3x-y=1

The slope-intercept form is  y = m x + b , where  m  is the slope and  b  is the y-intercept. y = m x + b Rewrite in slope-intercept form.