i need help with this word problem please! :)

Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

Answer:

option A) is correct.

Step-by-step explanation:

As we know that when we reflect across the line \(y=-x\), the x-coordinate and y-coordinate would change places and be negated.

So the formula about the reflection across \(y=-x\) will be:

(x, y) ⇒ (-y, -x)

From the graph, the vertices of the triangle are:

As the rule of reflection across \(y=-x\) will produce the image with the vertices T', U' and V' which are as follows:

(x, y) ⇒ (-y, -x)

So, the vertices of U', T' and V' will be:

Therefore, option A) is correct.

Answer:

the  price sold per kg to earn a profit of 20% is 7.2 kg

Step-by-step explanation:

The computation of the price sold per kg to earn a profit of 20% is shown below:

But before that the normal price per kg is

= 5.4  per kg × 100 ÷ 90

= 6 per kg

Now for 20% profit, the price per kg is

= 6 × (1 + 0.20)

= 6 + 1.2

= 7.2 kg

hence, the  price sold per kg to earn a profit of 20% is 7.2 kg

Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

Answer:

square, triangle, trapezoid,rectangle

The Two-dimensional figures are square, triangle, rectangle, and trapezoid.

Two-dimensional shapes do not have any thickness and can be measured on only two faces. These can be drawn on a sheet of paper with the constitution of two axises only.

The Two-dimensional figures that are cross-sections for each of the three-dimensional solids are:

Learn more about two-dimensional, here:

https://brainly.com/question/1211190

#SPJ2

Answer:

r = 3cm

Step-by-step explanation:

Use the formula for the surface area of a cylinder and solve to obtain r=3cm

Hence radius of base is 3 cm of right circular cylinder.

The cylinder is known as a right circular cylinder when the axis (one of the rectangle's sides) is perpendicular to the radius ((r)). The base and top of the right circular cylinder are both round and parallel to one another. The general formula for the total surface area of a cylinder is T. S. A. =\(2\pi rh+2\pi r^{2} .\)

Given total surface area of right circular cylinder =84\(\pi cm^{2}\)

Using formula for right circular cyinder =.\(2\pi rh+2\pi r^{2} .\)=84

and height=11 cm

\(2\pi r11+2\pi r^{2} =84.\pi\)

⇒\(11r+ r^{2} =84/2\)

⇒\(11r+ r^{2} =42\)

⇒\(r^{2} +11r-42=0\)

⇒r = \(\frac{-11+-\sqrt{11^{2}-4(1)42 } }{2}\)

⇒r=\(\frac{-11+-17}{2}\)

⇒r=3,-1

Hence radius of base is 3 cm as value can't be negative .

Learn more about surface area of cylinder https://brainly.com/question/12763699

#SPJ2

By using direct variation equation, value of y for given value of x is -12

Consider two variables x and y, then x and y are said to be directly proportional when the ratio of x and y is constant. For example y = kx, where k is constant number.

we have y = -6 and x = 2 then

we know that y , x are directly proportional, its equation can be written as

⇒ y = kx

Putting the value of x and y,

⇒ -6 = k(2)

⇒ k = -3

The required equation is y = -3x

by using this equation, value of y for x = 4

⇒ y = -3(4) = -12

Thus, the final answers are y = -12, and equation y = -3x.

To know more about proportional visit:

brainly.com/question/29474065

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.6 = \(\frac{2}{3}\)

\(\frac{1}{7}\) = 0.142857

0.05 = \(\frac{1}{18}\)

0.5 = 0.25

I'm unsure on the last one sorry if it's wrong.

The polynomial that represents the area of the shaded region is given as follows:

x² - 3x + 36.

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

For the entire region, the area is given as follows:

A = (x + 1)(x + 1)

A = x² + 2x + 1.

The area of the white region is given as follows:

Aw = 5(x - 7)

Aw = 5x - 35.

Then the area of the shaded region is given as follows:

As = A - Aw

A = x² + 2x + 1 - (5x - 35)

A = x² + 2x + 1 - 5x + 35

A = x² - 3x + 36.

More can be learned about area at https://brainly.com/question/15673093

#SPJ1

Answer:

True

Step-by-step explanation:

True, a problem is ill-conditioned if its solution is highly sensitive to small changes in the problem data.

However, higher-precision arithmetic will make an ill-conditioned problem better conditioned.

In an ill-conditioned problem, for a small change in the independent variable, there is a large change in the dependent variable.

Step-by-step explanation:

sue = 18 sweets

tony= 18 sweets

(sue)      S= (18 - x)-5

(tony)     T=(18 + x) ÷ 2

hope this helps :)

A possible vector function that represents the curve of intersection of the two surfaces is r(t) = (5 cos(t), 5 sin(t), 5 cos(t) sin(t))

The cylinder x^2 + y^2 = 25 represents the set of points in 3D space where the distance from the origin to the point (x, y, z) is equal to 5. The surface z = xy represents the set of points in 3D space where the height of the point (x, y, z) is equal to its x-y coordinate.

The curve of intersection of the two surfaces is given by the set of points in 3D space that are simultaneously on the cylinder and on the surface z = xy. This means that for any point on the curve of intersection, the distance from the origin to the point must be equal to 5, and the height of the point must be equal to its x-y coordinate.

We can find a vector function that represents the curve of intersection by parameterising the points on the curve in terms of a scalar parameter t. For example, a possible parameterization of the curve of intersection is:

r(t) = (5 cos(t), 5 sin(t), 5 cos(t) sin(t))

where t is a scalar parameter that ranges over all values between 0 and 2π. The values of x, y, and z are given by 5 cos(t), 5 sin(t), and 5 cos(t) sin(t), respectively, and represent a point on the curve of intersection for each value of t.

To learn more about the curve of intersection click here:

brainly.com/question/29987415

#SPJ4

Answer:

B

Step-by-step explanation:

x + 3y = 2 → (1)

4x - 3y = 23 → (2)

adding (1) and (2) term by term will eliminate y

(x + 4x) + (3y - 3y) = 2 +  23

5x + 0 = 25

5x = 25 ( divide both sides by 5 )

x = 5

Answer:

4x - x = 16 - 7

--> 3x = 9

-> x = 3

Step-by-step explanation:

To find the probability that the entire batch will be accepted, we need to find the probability that all 6 CDs selected for testing are not defective. This is known as the probability of a "success" in the binomial distribution, which is (1 - population proportion of defective CDs) raised to the power of the number of CDs selected for testing.

The population proportion of defective CDs is 160/1500 = 0.107. So the probability of a CD being not defective is 1- 0.107 = 0.893. Therefore, the probability of all 6 CDs selected for testing are not defective is (0.893)^6 = 0.827 which is about 83%

Therefore, the probability that the entire batch of 1500 CDs will be accepted if 6 CDs are randomly selected for testing is 0.827 or about 83%.

It's worth noting that this method is based on some assumptions and the actual probability might be different.

Answer:

4a+6b

Step-by-step explanation:

4a -2a +6b +2a

Combine like terms

4a-2a+2a+6b

4a+6b

Answer:

4a + 6b

Step-by-step explanation:

4a - 2a + 6b + 2a

= 4a + 6b

(because -2a and +2a get cancelled by each other)

Katrina will need 24 bricks to build the wall around her backyard.

We have,

To determine the number of bricks needed for the wall, we need to divide the total length of the wall (432 inches) by the length of each brick (18 inches):

So,

Number of bricks = Total length of the wall / Length of each brick

Number of bricks = 432 inches / 18 inches

Number of bricks = 24 bricks

Therefore,

Katrina will need 24 bricks to build the wall around her backyard.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The complete question:

Katrina is building a wall around her backyard using bricks that are 18 inches long. The wall needs to be 36 feet, or 432 inches, long.

Find the number of bricks needed to build around he backyard.

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

Learn more about mean absolute deviation at: https://brainly.com/question/447169

#SPJ1

The area of this blue glass is equal to 144π square inches.

In order to calculate the area of this blue glass, we would have to first determine its radius by using the formula for the circumference of a circle. Mathematically, the circumference of a circle can be calculated by using this formula:

C = 2πr

Where:

Next, we would determine the radius of this blue glass as follows:

Radius, r = C/2π

Substituting the given parameters into the formula, we have;

Radius, r = 24π/2π

Radius, r = 12 meters.

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circle = πr²

Area of a circle = π × 12²

Area of a circle = π × 144

Area of a circle = 144π square inches.

Read more on area of a circle here: https://brainly.com/question/6615211

#SPJ1

Complete Question:

An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of a metal ring. The distance around each dot is 24pi inches. The artist plans to fill the inside of each dot with blue colored glass.

What is the area of the blue glass will be needed to fill each butterfly dot?

Give your answer in terms of pi.

Answer:

10i and 7i

Step-by-step explanation:

Step-by-step explanation:

(12-5i)+(-3+4i)

12-5i-3+4i

12-3-5i+4i

9-1i

Hope it helps

This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer:

x = number of pies

$13.00  + (X -1)($10.00 per pie) = cost

Step-by-step explanation:

Number of pies = x

Total cost of = dollars = d

d = x + 10x

Hope that helps!

C. The area of a rectangle is the product of its length and its width, so factoring the expression for the area will give the dimensions of the rectangle. The expressions for the dimensions of the rectangle are to be determined by factoring in the given area expression.

What is the area of the rectangle?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of a rectangle is given by the formula A = lw, where A is the area, l is the length, and w is the width of the rectangle.

To find possible dimensions of a rectangle with a given area, we can use factoring.

For example, if the area is 24, we can factor it as 24 = 2 x 2 x 2 x 3 or 24 = 4 x 6.

This means that a rectangle with an area of 24 could have dimensions of length 2 and width 12, length 4 and width 6, length 6 and width 4, or length 12 and width 2.

In this case, the question does not specify the value of the area, so we cannot find the dimensions of the rectangle.

we can still use factoring to find the possible dimensions of a rectangle with a given area, as shown in the example above.

Hence, The correct answer is:

C. The area of a rectangle is the product of its length and its width, so factoring the expression for the area will give the dimensions of the rectangle. The expressions for the dimensions of the rectangle are to be determined by factoring in the given area expression.

To learn more about the area of the rectangle visit:

brainly.com/question/2607596

#SPJ1

Answer:

A) 0.52

Step-by-step explanation:

I JUST KNOW IT 101% SURE

Answer:

3/8

Step-by-step explanation:

If they traveled 3/8 on day one, then 5/8 is left. So find what 3/5 of 5/8 is. I think it should be 3/5 times 5/8 which equals 3/8. So on Sunday they traveled another 3/8 of the total distance.

Answer:

i think it’s $3,792

Step-by-step explanation:

11 • 10 = 110 and 12 • 4 = 48 so 110 + 48 = 158 and 158 • 24 = 3,792

Answer:

When an outline exists.

Step-by-step explanation:

As compared to the range, the interquatile range is somewhat resistant to the outliers. This is because the interquartile range itself is not always affected by the outliers if they lie at both ends of the data sets.

The IQR only describes the range of the middle 50% of the values in a data set, which is calculated as the difference between the 75th and 25th percentile values.

It also helps in the identification of these outliers using mild outliers being those values lower than the 25th quartile minus 1.5×IQR, or those values greater than the 75th quartile plus 1.5×IQR.

Refer to the photos taken.

The percentage of students that have scored more than you is 1.39%

a) Probility that people scored more than Nancy = P(X>1390) = 1- P(X<1390).

Now z= (1390-950)/200

z= 2.2

P(Z<2.2) = 0.9861

So 1- P(X<1390) = 1 - P(Z<2.2) = 1 - 0.9861 = 0.0139

= 1.39 %

Let P1 be the % of people who score below 1100 and P2 be the % of people who scored below 1200

Then % of students between scores of 1100 and 1200 = P2 - P1

Z (X=1100) =0.75 and Z (X=1200) = 1.25

P1 = P(X<1100)= P (Z< 0.75) =0.7734

P2 = P(X<1200)= P (Z< 1.25) =0.8944

Then % of student between score of 1100 and 1200 = P2 - P1 = 0.8944 - 0.7734 = 0.121 = 12.10%

Middle 87.4 % score means that a total of 12.6 % of the population is excluded. That is 6.3% from both sides of the normal curve. So the minimum value for the middle 87.4% will the one which is just above 6.3% of the population i.e. it will have value x such that P(X<x)= .063.

z value (for P(X<x)= .063) = (-1.53)

But Z= (x-u)/ \sigma from here calculating x, x=644

The minimum value of the middle 87.4% score is 644

The maximum value for the middle 87.4 % of the scores will be the one that has 6.3% scores above it, i.e. it will have value x such that P(X>x)= .063.

P(X<x)= 1 -P(X>x)= 1 - 0.063 = 0.937.

Z value (for P(X<x)= 1.53

But Z= (x-u)/ \sigma from here calculating x, x=1256

The maximum value of the middle 87.4% score is 1256

Z value for (X=1432)= 2.41

P(Z<2.41) =0.9920

It means that 99.2 % of scores are less than 1432

So only 0.8% of scores are higher than 1432

but , 0.8% = 165

So 100% = 20625

20625 students took SAT

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1

To evaluate f(-x) when f(x) = x/(x^2 + 1), we need to substitute -x for x in the function.

So f(-x) = (-x)/((-x)^2 + 1)

Simplifying the denominator we get:

f(-x) = (-x)/(x^2 + 1)

The function f(-x) is equivalent to the function f(x) with the x-value negated. The value of the function f(-x) is the same as the value of the function f(x) but with the x-value negated.

It's important to note that we can also express this as f(-x) = -f(x)

So the value of f(-x) is x/(x^2 + 1) with the x-value negated.