HELP PLEASE For the following right triangle, find the side length x.

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Answer:

Decrease of 55.6%

Step-by-step explanation:

Because it clearly decreased,

9 - 4 / 9

5 / 9

55.6% decrease

Answer:

\( \sf \rho \: = 1.25\)

Step-by-step explanation:

Density, is the substance's mass per unit of volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume:

\({\displaystyle \rho ={\frac {m}{V}}} \)

where ρ is the density, m is the mass, and V is the volume.

\( \sf \rho = \frac{750}{600} \)

\( \sf \rho \: = 1.25\)

Therefore, density is equal to 1.25

The volume of the figure is 25 cubic cm

From the question, we have the following parameters that can be used in our computation:

The composite figure

To calculate the volume, we calculate the individual volumes and add them up

So, we have

Volume = 3 * 3 * 1 + 2 * 8 * 1

Evaluate

Volume = 25

Hence, the volume is 25 cubic cm

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The variability of a observed values all around respective treatment means is measured by the "error" sum of squares.

SSE, also referred to as residual sum of squares, stands for sum of squares error. It is the discrepancy between the actual value and the value projected.

Thus, the variance of the observed values surrounding the means of the corresponding treatments is measured by the "error" sum of squares.

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The correct question is-

The ______ sum of squares measures the variability of the observed values around their respective treatment means.

Answer:

B. Q′ (−2, −1)

Step-by-step explanation:

I looked at the graph, this is as close as I could get to my answer. I'm so sorry if it is wrong.

The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.

If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.

Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:

x/y = 2/3

To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.

The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.

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The value of dy/dx is -27/8 for 1=5x³+2y²+4xy  at (-1,3).

A differential equation is an equation that contains one or more functions with its derivatives.

Given,

The equation is 1=5x³+2y²+4xy

We need to differentiate the given equation

5.3x²+4ydy/dx+4(xdy/dx+y)=0

15x²+4ydy/dx+4(xdy/dx+y)=0

15x²+4ydy/dx+4xdy/dx+4y=0

15x²+dy/dx(4y+4x)+4y=0

dy/dx(4y+4x)=-15x²-4y

dy/dx=-15x²-4y/4y+4x

Now plug in x =-1 and y=3

dy/dx=-15(-1)²-4(3)/4(3)+4(-1)

=-15-12/12-4

=-27/8

Hence, the value of dy/dx is -27/8 for 1=5x³+2y²+4xy  at (-1,3).

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Answer:

Both trains will meet at 2.2 hours (2 hours and 12 minutes).

Step-by-step explanation:

Relative Speed

If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.

Both trains travel toward each other, which means their speeds are of opposite signs.

Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.

To calculate the time they take to meet, we apply the formula:

\(\displaystyle t=\frac{x}{vr}\)

\(\displaystyle t=\frac{330}{150}=2.2\ hours\)

Both trains will meet at 2.2 hours (2 hours and 12 minutes).

The answers are 8.6 ounces, 9.4 ounces, and 8.5 ounces

Explanation:

To find how much each puppy weights simply add the weight they gained (2.1 ounces) to the weight of each puppy at one week old. The process to add the weights is shown below:

First Puppy

6.5 ounces (weight at one week old)  +  2.1 ounces (weight gained)

Align both numbers using the period as the reference and add

          6.5

+          2.1

          8.6  

The weigh of the first puppy is 8.6 ounces which can be rounded as 9 ounces (integer)

Second Puppy

Now, repeat the process

7.3 ounces +  2.1 ounces

           7.3

+          2.1

           9.4

The weigh of this puppy is 9.4 ounces or  9 ounces (integer) if rounded

Third Puppy

6.4 ounces +  2.1 ounces

           6.4

+          2.1

           8.5

The weight of the third puppy is 8.5 ounces which can be rounded as 8 ounces or 9 ounces (integers) depending on the rounding method.

Answer:

The answer to this questions is 8.6

Step-by-step explanation:

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Graph y=4x-1

To determine the slope and y-intercept, use the slope-intercept form.

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

Using the formula y = m x + b, determine the values of m and b. m = 4 b = -1

The value of m represents the line's slope, and the value of b represents the y-intercept.

4 slope, 0 y-intercept, and 1 negative slope

Two points can be used to graph any line. Plug two x values into the equation to determine the associated y values.

Build a table with the x and values for  y:

x    y

0     1

1      3

Use the slope and the y-intercept, or the points, to graph the line.

Slope is 4, and the y-intercept is (0, 1 )

x   y

0   -1

1    3.

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The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

If Patty's dog weighs 48 ounces, and we convert ounces to pounds, our answer is 3. Patty's dog weighs 3 pounds

Step-by-step explanation:

A graph of the resulting triangle after a rotation of -180° about the origin is shown below.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of triangle TOP 180° counterclockwise or -180° about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point T (6, 0)  →  Coordinates of point T' = (-6, 0)

Coordinates of point O (-2, -5)  →  Coordinates of point O' = (2, 5)

Coordinates of point P (-2, 5)  →  Coordinates of point P' = (2, -5).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

the solutions are:

The only information of h(x) that we have is the given graph.

To find the value of x, we need to go to the vertical axis and find y = 4, then we move horizontally to the left until we meet the curve.

That intersection will give the value of x for which h(x) = 4.

Doing that, we conclude that h(x) = 4 when x = 0 (on the vertical axis).

Now we want to find h(-2), and we can do that using the graph.

By finding x = -2 on the horizontal axis and then moving up until we intercept the graph, we can see that:

h(-2) = 2

Concluding, the solutions are:

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Answer:

The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.

Step-by-step explanation:

Answer:

(-2,-1)

Step-by-step explanation:

let the number=x

its reciprocal=1/x

x+2(1/x)=-3

x+2/x=-3

x²+2=-3x

x²+3x+2=0

(x+2)(x+1)=0

x=-2,-1

Answer:

D

Step-by-step explanation:

An angle that measures 180 degrees resembles a straight line.

A is greater than 90 degrees but less than 180 degrees.

B is less than 90 degrees.

C is equal to 90 degrees.

D is equal to 180 degrees.

we would expect m to be positive.

In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.

Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.

If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.

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Answer: 10 inches

Step-by-step explanation:

200/10 = 20

20 x 0.5 = 10

Answer:

(x, -1/2x + 5/2) or infinitely many solutions

Step-by-step explanation:

We can solve the system of equations using substitution.  We can start by isolating x in the first equation.  Then, we can plug in the entire equation made from isolating for x in the second equation, which will allow us to find y:

Isolating:

x = -2y + 5

Plugging in and solving for y:

4(-2y + 5) + 8y = 20

-8y + 20 + 8y = 20

20 = 20

We see that we get a constant equal to another constant.  Whenever you get this as a solution to a system of equations, this means that there are infinitely many solutions. We can express the general rule for the solution in coordinate form by isolating y in at least one of the equations:

y = -1/2x + 5/2

Thus, the general rule for the solution to the system of equations is

(x, -1/2x + 5/2), so you can either put this general rule as the answer or write solution = infinitely many solutions

You can see that there are infinitely many solutions by plugging in any number for x into the two equations and see that you get 5 for the equation and 20 for the second equation.  Let's try 4 for x and 0 for x:

4 for x in first equation:

4 + 2(-1/2(4) + 5/2) = 5

4 + 2(0.5) = 5

4 + 1 = 5

5 = 5

4 for x in the second equation

4(4) + 8(-1/2(4) + 5/2) = 20

16 + 8(0.5) = 20

16 +4 = 20

20 = 20

0 for x in the first equation:

0 + 2(-1/2(0) + 5/2) = 5

0 + 2(2.5) = 5

5 = 5

0 for x in the second equation:

4(0) + 8(-1/2(0) + 5/2) = 20

0 + 8(2.5) = 20

20 = 20

Ashley will get $15 because it like 3X5=15

The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.

To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.

Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.

Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.

If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.

Starting with an initial guess of, let's say, 7, we can use the formula:

x(n+1) = (x(n) + (57.27/x(n)))/2,

where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.

After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.

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Answer:

\(5x-y+7z-38=0\)

or

\(5x-y+7z=38\)

Step-by-step explanation:

Given vector equation:

\(\textbf{r} = \textbf{i} - 5\textbf{j} + 4\textbf{k} + \lambda(3\textbf{i} + \textbf{j} - 2\textbf{k}) + \mu(-\textbf{i} + 2\textbf{j} + \textbf{k})\)

The vector 3i + j - 2k is perpendicular to n.

The vector -i + 2j + k is perpendicular to n.

\(\textsf{So}\;\;\textbf{n}=\left|\begin{array}{ccc}\textbf{i}&\textbf{j}&\textbf{k}\\3&1&-2\\-1&2&1\end{array}\right|\)

        \(=\textbf{i}\left|\begin{array}{rr}1&-2\\2&1\end{array}\right|-\textbf{j}\left|\begin{array}{rr}3&-2\\-1&1\end{array}\right|+\textbf{k}\left|\begin{array}{rr}3&1\\-1&2\end{array}\right|\)

        \(=\textbf{i}(1 \cdot 1 - (-2) \cdot 2)-\textbf{j}(3 \cdot 1-(-2) \cdot (-1))+\textbf{k}(3 \cdot 2-1 \cdot (-1))\)

        \(=\textbf{i}(1 +4)-\textbf{j}(3-2)+\textbf{k}(6+1)\)

        \(=5\textbf{i}-\textbf{j}+7\textbf{k}\)

So the equation of the plane written in Cartesian form is:

\(5x-y+7z+d=0\)

Substituting (1, -5, 4) gives:

\(5(1)-(-5)+7(4)+d=0\)

\(5+5+28+d=0\)

\(38+d=0\)

\(d=-38\)

Therefore, the given vector equation in Cartesian form is:

\(5x-y+7z-38=0\)

or

\(5x-y+7z=38\)

Answer:

KL = 7, so B is the correct answer.

Answer:

07

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

V = 5

I = 1

V + I + I = 5 + 1 + 1 = 7

Hope that helps

Answer:

28th

Step-by-step explanation:

an=-3+5n

137=-3+5n

140/5=n

n= 28

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

A, B, and E. Hope this helps!

1. About 144 scoops of ice cream were served last Thursday.

2.Doris has 5 quarters, 10 dimes, and 5 nickels, and 4 pennies.

1. There are 16 ounces in a pound, so 18 pounds of ice cream weigh:

18 pounds * 16 ounces/pound = 288 ounces

Since one scoop of ice cream weighs 2 ounces, the number of scoops served is:

288 ounces / 2 ounces/scoop = 144 scoops

Therefore, about 144 scoops of ice cream were served last Thursday.

2. Let's use "q", "d", "n", and "p" to represent the number of quarters, dimes, nickels, and pennies that Doris has, respectively.

From the problem statement, we know that:

n = q (the number of nickels equals the number of quarters)

d = 2q (the number of dimes is twice the number of quarters)

n = 5 (she has 5 nickels)

We can use this information to write an equation for the total value of Doris's coins:

0.25q + 0.10d + 0.05n + 0.01p = 2.54

Substituting the values for n and d in terms of q, we get:

0.25q + 0.10(2q) + 0.05(5) + 0.01p = 2.54

Simplifying and solving for q, we get:

0.45q + 0.05 + 0.01p = 2.54

0.45q + 0.01p = 2.49

45q + p = 249

Since Doris has a total of 24 coins, we can write another equation:

q + d + n + p = 24

Substituting the values for n and d in terms of q, we get:

q + 2q + q + p = 24

4q + p = 24

We now have two equations with two unknowns:

45q + p = 249

4q + p = 24

Subtracting the second equation from the first, we get:

41q = 225

Solving for q, we get:

q = 225/41 ≈ 5.49

Since q must be a whole number, the closest integer value is 5. Substituting this value back into the equations for n and d, we get:

n = q = 5

d = 2q = 10

Finally, we can use the equation for the total number of coins to find the value of p:

q + d + n + p = 24

5 + 10 + 5 + p = 24

p = 4

Therefore, Doris has 5 quarters, 10 dimes, and 5 nickels, and 4 pennies.

Quarters are a type of coin used in the United States currency system. A quarter is worth 25 cents or 1/4 of a dollar. It has a diameter of 0.955 inches (24.26 mm) and a thickness of 0.069 inches (1.75 mm). The front side of the coin features a portrait of George Washington, the first president of the United States, and the back side features an eagle. Quarters are commonly used in daily transactions to make small purchases or provide change.

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