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Mathematics

1 answer:

MrRissso [65]3 years ago

4 0

Answer:

There are 24 boys and 4 teachers.

Step-by-step explanation:

To get 18, you multiply 3 by 6. To get 24, you multiply 4 by 6.

You add 18 and 24 together to get 42, which is double 21 and there are 2 teachers for every 21 students

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Delilah does 841 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate. How many jumping jacks can Delilah d

STatiana [176]

841 jumping jacks per 4 minutes

$\frac{841~jumping~jacks}{4~minutes}$

Divide both sides by 4.

$\frac{841}{4} \div \frac{4}{4} = \frac{210.25}{1}$

Delilah can do 210.25 (or 210) jumping jacks per minute.

4 0

3 years ago

Find the length of dm in the given fig.

lesya692 [45]

Answer:

$DM=12$

Step-by-step explanation:

(Let the point where the altitude from $D$ intersects $AB$ be called as point $E$ .) First, let's find the area of parallelogram $ABCD$ . The area of a parallelogram is simply $b*h=bh$ , where $b$ is the parallelogram's base and $h$ is the parallelogram's height. If we let $AB$ and $DE$ be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram $ABCD$ will be $AB*DE=15*8=120$ .

Now, how does this information matter, you might ask? Well, we can take either $AB$ <em>or </em> $CB$ to be the base and either $DE$ or $DM$ to be the height. In this case, let's take the latter two options, as we are looking to find the length of $DM$ .

Therefore, we know that the area of parallelogram $ABCD$ can also be found by calculating $CB*DM$ . Since we know the values of the area and $CB$ , we can write the following equation to solve for $DM$ :