Perform the operation 8 1/2 + 5 1/8

Answer:

13.7 m

Proof in Pic:

What the Spanish farmer said to his chicken is: Ohlay

This is taken from the math's worksheet titled:

‘What Did the Spanish Farmer Say to His Chicken?’

This is a math worksheet activity where one must solve the given questions to find the letters that spell out the answer to what the farmer had said.

When we solve all the questions and check the letter list, then the answer will spell out oh lay. ‘Oh lay’ is Spanish for a sense of encouragement or as an approval or an hour for triumph.

Activities are given to children along with the questions to make the task of solving the mathematical equations fun while simultaneously learning about the concept. It also challenges their skills and improves them.

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Answer:

The cost of an oil change for 1 truck was $42

Step-by-step explanation:

Let

x -----> the cost of an oil change for 1 truck

y -----> the cost of gas for 1 truck

z ----> the total bill

we know that

[tex]z=11[x+y][/tex]

we have

[tex]z=\$694.32[/tex]

[tex]y=(6)(3.52)=\$21.12[/tex]

substitute and solve for x

[tex]694.32=11[x+21.12][/tex]

[tex]x=(694.32/11)-21.12[/tex]

[tex]x=\$42[/tex]

Answer:

4x + 3y - 7x

a2 + a2 - b

Step-by-step explanation:

Answer:

1 and 13

Step-by-step explanation:

13 is a prime no. so it doesnt have more factors just it can be divided by 1 and itself 13

There is a negative association between the amount of fog in the sky and the distance a pilot can see; i.e. the higher the amount of fog, the lower the visibility distance.

The question primarily asks about the association between the amount of fog in the sky and the distance a pilot can see. In general, the greater the fog, the lower the visibility distance for a pilot. Hence, there is a negative association between these two variables. When one variable (amount of fog) increases, the other variable (pilot's visibility distance) decreases.

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Answer:

[tex]x(x+2)(x-15)[/tex]

Step-by-step explanation:

we have

[tex]x^{3}-13x^{2}-30x[/tex]

step 1

Factor x

[tex]x^{3}-13x^{2}-30x=x(x^{2}-13x-30)[/tex]

step 2

Find the solutions of [tex](x^{2}-13x-30)[/tex]

Complete the square

[tex](x^{2}-13x)=30[/tex]

[tex](x^{2}-13x+6.5^{2})=30+6.5^{2}[/tex]

[tex](x^{2}-13x+42.25)=72.25[/tex]

[tex](x-6.5)^{2}=72.25[/tex]

square root both sides

[tex](x-6.5)=(+/-)8.5[/tex]

[tex]x=6.5(+/-)8.5[/tex]

[tex]x1=6.5(+)8.5=15[/tex]

[tex]x2=6.5(-)8.5=-2[/tex]

so

[tex](x^{2}-13x-30)=(x+2)(x-15)[/tex]

substitute

[tex]x^{3}-13x^{2}-30x=x(x+2)(x-15)[/tex]

To solve inequalities by multiplying or dividing, apply the operation to both sides and remember to reverse the inequality when multiplying or dividing by a negative number. Graph the solution on a number line and check it. Graphical representations also help in visualizing economic data.

When solving inequalities by multiplying or dividing, it is important to remember that applying the same operation to both sides of the inequality does not change the sense of the inequality unless we multiply or divide by a negative number, which reverses the inequality. The procedure involves isolating the unknown on one side by using multiplication or division. It is key to multiply or divide every term on either side of the inequality whenever it involves more than one term. This is done by enclosing the side with more than one term in small brackets before performing the operation.

To graph the solution on a number line, identify the range of values that make the inequality true. For instance, in an inequality such as x > 5, you would draw an open circle at 5 and shade the line to the right to indicate all the values greater than 5. Remember to check your solution by substituting a number from the solution set back into the original inequality.

Moreover, if you encounter a graphing task related to economic models, it is helpful to represent the data visually using various graphs such as line graphs, pie charts, or bar graphs. These graphical representations illustrate patterns, comparisons, trends, and relationships in data effectively, providing an intuitive understanding of complex information.

The ratio of the perimeters of two similar figures with a similarity ratio of 5/3 is also 5/3. This ratio applies to all corresponding linear measurements, including perimeter, when figures are similar.

If the sides of two similar figures have a similarity ratio of 5/3, the ratio of their perimeters will also be 5/3. This is because the perimeter of a figure is simply the sum of its side lengths, and since all corresponding sides are in the same ratio for similar figures, the perimeters will be in the same ratio too.

For example, if one figure has a side length of 5 units, its similar figure will have the corresponding side length of 3 units (given the ratio). If you add up all the sides for the first figure and all the sides for the second figure, the sums will still maintain that 5/3 ratio due to the proportional nature of similarity in geometry.

The fraction that is between 0.40 and 0.47 is 21/50

In order to determine which of the options are between 0.40 and 0.47, convert the options to decimals.

In order to convert the fractions to decimals, divide the numerator by the denominator

7/50 = 0.14

19 / 50 = 0.38

21 / 50 = 0.42

43 / 50 = 0.86

The fraction that is between the stated numbers is 21/50

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We want to find the solution for the system of linear equations such that we know some points of the lines. We will see that the correct option is A: (-7, 4).

When we have a system of equations the solutions are the points where the graphs of the equations intercept.

Here we know that we have two lines:

So we already can see that both lines pass through the point (7, -4), meaning that the lines do intercept at that point, so the solution of the system is that point (we know that we don't have more solutions because lines intercept only once).

So the correct option is A: (-7, 4)

If you want to learn more about systems of equations, you can read:

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Let [tex] x [/tex] be the score awarded by the other judge.

Maddy's final score is the average of the scores awarded by the 2 judges.

So,

[tex] \frac{87+x}{2} =84.5\\
87+x=169\\
x=82 [/tex]

The score awarded by the second judge is [tex] 82\;points [/tex].

Let the event to win the first game is F and to win the second game is S.

This question is from conditional probability and hence we use the below formula.

[tex]P(S/F)=\frac{P(F and S) }{P(F)}[/tex]

Now, we have been given that

[tex]P(F and S)=0.18\\ P(F)=0.60[/tex]

On substituting these given values in the formula, we get

[tex]P(S/F)=\frac{0.18}{0.60} \\ \\ P(S/F)=0.3=30\%[/tex]

Therefore, the probability for winning the second game is 30%

To find the number of milligrams in 0.5 mL of a 1:1000 solution, we can set up a proportion: 1 mg / 1000 mL = x mg / 0.5 mL. Cross-multiplying, we get: x mg = (1 mg / 1000 mL) * 0.5 mL. Therefore, there are 0.0005 milligrams in 0.5 mL of a 1:1000 solution.

To determine the number of milligrams in 0.5 mL of a 1:1000 solution, we need to understand the ratio. In a 1:1000 solution, the first number represents the amount of solute (in this case, milligrams) and the second number represents the amount of solvent (in this case, milliliters). So, in a 1:1000 solution, there is 1 milligram of solute in 1000 milliliters of solvent.

To find the number of milligrams in 0.5 mL, we can set up a proportion:

1 mg / 1000 mL = x mg / 0.5 mL

Cross-multiplying, we get:

x mg = (1 mg / 1000 mL) * 0.5 mL

x mg = 0.0005 mg

Therefore, there are 0.0005 milligrams in 0.5 mL of a 1:1000 solution.

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Answer:

lol thxs for the points

Step-by-step explanation: