The National Safe Kids Campaign and Bell Sports sponsored a study that surveyed 8,159 children ages 5 to 14 who were riding bicycles. Approximately 2/5 of the children were wearing helmets, and of those, only 13/20 were wearing the helmets correctly. About how many of the children were wearing helmets correctly?

Answer:

[tex]x=\frac{3j-n}{4k+7m}[/tex]

Step-by-step explanation:

We have the expression [tex]3j=4kx+7mx+n[/tex] and we have to solve for x, this means that we have to clear x.

Then first we are going to subtract n in both sides of the equation,

[tex]3j=4kx+7mx+n\\3j-n=4kx+7mx+n-n\\3j-n=4kx+7mx[/tex]

Now in the right side we can apply common factor x.

[tex]3j-n=(4k)x+(7m)x\\3j-n=x(4k+7m)[/tex]

For the last step divide both sides of the equation in (4k+7m),

[tex]3j-n=x(4k+7m)\\\\\frac{3j-n}{4k+7m}=\frac{x(4k+7m)}{(4k+7m)} \\\\\frac{3j-n}{4k+7m}=x[/tex]

Then,

[tex]x=\frac{3j-n}{4k+7m}[/tex]

The student can check the accuracy of their answer by substitifying their solution back into the equation. If both sides of the equation are equal after the substitution, then the solution is correct and 4 * 3 + 6 does in fact equal 18 in this case.

The subject of your question is to solve a simple equation and you want to check your answer. The equation you're talking about can be expressed as 4x + 6 = 18, where x is the number you're trying to find. You said you believe x = 3, and we can check that by substituting 3 for x in the equation and seeing if both sides match.

On the left side of the equation, 4x + 6 would become 4 * 3 + 6, which equals 12 + 6 = 18. The right side of the equation is also 18, so your answer of x = 3 is correct!

Substituting your answer back into the equation is a solid strategy to check your answers in mathematics.

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The change in elevation from the beginning of Suzi's hike to the end is 98 feet, as calculated by the difference in starting and ending elevations: (-127) - (-225) = 98 feet.

To calculate the elevation change, we subtract the elevation at the start of the hike from the elevation at the end of the hike. Suzi started at -225 feet below sea level and ended at -127 feet below sea level.

To find the change in elevation, we perform the following calculation:

Write down the starting elevation: -225 feet.

Write down the ending elevation: -127 feet.

Subtract the starting elevation from the ending elevation: (-127) - (-225).

Simplify the equation by adding: -127 + 225 = 98 feet.

Therefore, the change in elevation from the beginning of Suzi's hike to the end is 98 feet. The positive result indicates an increase in elevation, even though Suzi is still below sea level at the end of her hike.

The square of any number is simply that number multiplied by itself. Thus the square of 410 is 410 multiplied by 410, which equals 168100.

The concept being asked here is the squaring of exponentials. 'To square' a number encompasses multiplying that number by itself. Hence 41 to the second power, or 41 squared, equals 1681 as the question states. By the same logic, to find the square of 410, we would multiply 410 by itself. That calculation will give the result as 168100. The square of 410 is 410 multiplied by 410, which equals 168100. Thus, the square of 410 equals 168,100.

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If product of x and 5.2 is 104 then the value of x is 20.

Two or more expressions with an Equal sign is called as Equation.

Given that  product of x and 5.2 is 104

We have to find the value of x

product of x and 5.2 is 104 can be mathematically written as below

5.2x=104

To find value of x

divide both sides by 5.2

x=104/5.2

x=20

Hence, if product of x and 5.2 is 104 then the value of x is 20.

To learn more on Equation:

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The algebraic expression for the scenario is 'd = 55t', where 55 (miles per hour) is the constant, and 't', which represents time in hours, is the variable. This expression is used to calculate the distance traveled by a car.

The subject of your question is algebra, particularly involving the concept of linear equations. In this scenario, you're looking to determine how far a car will travel given a certain speed and number of hours. Your constant in this case will be the speed of the car, which is 55 miles per hour. The variable is the time in hours, which we can denote by 't'. Hence, the algebraic expression representing this scenario would be d = 55t where 'd' represents the distance traveled by the car. The distance is calculated by multiplying the constant speed by the variable time.

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The complete question is here:

A car is traveling at a speed of 55 miles per hour. You want to write an algebraic expression to show how far the car will travel in a certain number of hours. What will be your constant? your variable?

Answer:

130.4 pounds

Step-by-step explanation:

The digital scale is measuring weight to the nearest 0.2 pounds, so basically the digital scale would show you the weight of an object that is a multiple of 0.2.

Talking about precision, precision tells us how accurate is the measured value or how close is the measured value to the actual value.

Here, scale is measuring to the nearest 0.2 pounds, so out of the given values the measurement that shows an appropriate level of precision for the scale is 130.4 pounds.

Answer is: d=20.

Hope it helps

To calculate the amount of energy produced by burning 46.1 mL of gasoline, you can use the formula: Amount of energy = (Density of gasoline) x (Volume of gasoline) x (Energy produced per gram). Plug in the values and include the correct unit symbols (g/mL, mL, kJ) in your answer.

To calculate the amount of energy produced by burning 46.1 mL of gasoline, you can use the following formula:

Amount of energy = (Density of gasoline) x (Volume of gasoline) x (Energy produced per gram)

Plugging in the values:

Amount of energy = (0.77 g/mL) x (46.1 mL) x (45.0 kJ/g)

This gives us the math expression:

Amount of energy = 0.77 x 46.1 x 45.0 kJ

Make sure to include the correct unit symbols (g/mL, mL, kJ) in your answer.

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Applying Place values, the ways to write the number shown by the model are 40+6, 64, and 6 tens 4 ones.

Learn more about Place values and Addition here:

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the hint tells you s is sqrt(a)

 the question tells you a = 570025

so side = sqrt(570025)

 plug that into your calculator to get:

755 feet

Answer:

25 mins

Step-by-step explanation: