Jena wants to share a 6-segment chewy fruit worm the tape diagram. below shows the marks she made on the worm so she can share it equally among the members in her cmp group

1. There are 8 people, because the first 4 segments are divided into 8 equal parts and the last 2 segments are also divided into 8 equal parts.

2. There are other possibilities. Those are 2 and 4 people. In the 4 people scenario, each person receives 2 big parts (from the start of the worm) and 2 small parts (from the end of the worm). In the 2 people scenario, each person receives 4 big parts (from the start of the worm) and 4 small parts (from the end of the worm).

3. In the 8 people scenario, each person receives 1 big part (from the start of the worm) and 1 small part (from the end of the worm).

4. The first 8 parts of the worm represent 2/3 of the complete worm. Then, each part is (1/8)*(2/3) = 2/24 = 1/12 of complete worm.

The last 8 parts of the worm represent 1/3 of complete worm. Then, each part is (1/8)*(1/3) = 1/24 of complete worm.

Therefore, each person gets 1/12 + 1/24 = 3/24 of the complete worm.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: