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dangina [55]
3 years ago
14

1. use rounding or compatible numbers to estimate each product or quotient

Mathematics
2 answers:
umka2103 [35]3 years ago
4 0

Answer:

A) option c) about 12

B)  option a) about 9      

Step-by-step explanation:

We have to carry out the following calculation and use compatible numbers to evaluate,

A)

5\times 2\displaystyle\frac{3}{5}\\\\=5\times \frac{13}{5}\\\\=13

Hence, the answer option c) about 12.

B)

25\displaystyle\frac{7}{8}\div 2\frac{8}{9}\\\\=\frac{207}{8}\div \frac{26}{9}\\\\=\frac{207}{8}\times \frac{9}{26}\\\\= 8.95

Hence, the right answer is option a) about 9

Lady bird [3.3K]3 years ago
3 0
#1. About 15.
5x3

#2. About 9
26/3=8 2/3
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2x+3y=1 and y=-2 - 9 solve using linear combination method. Please explain steps.
kaheart [24]

Answer:

x=17

Step-by-step explanation:

2x+3y=1

y=-2-9

  • In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, y. In this case, we need to isolate y in the first equation so that both equations =y.

2x+3y=1

3y=-2x+1

\frac{3y}{3}=\frac{-2x+1}{3}

y=-\frac{2}{3}x+\frac{1}{3}

  • With this, we now know that both -2-9 and -\frac{2}{3}x+\frac{1}{3} are equal to y, so we can set them equal to each other.

y=-\frac{2}{3}x+\frac{1}{3}

y=-11

-\frac{2}{3}x+\frac{1}{3}=-11

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-\frac{2}{3}x+\frac{1}{3}=-11

-\frac{2}{3}x=-11-\frac{1}{3}

-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}

-\frac{2}{3}x =-\frac{34}{3}

-\frac{2}{3}x(-\frac{3}{2})=-\frac{34}{3}(-\frac{3}{2})

x=\frac{102}{6}=17

x=17

  • Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

 

4 0
3 years ago
A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st
densk [106]

Answer:

\[y < = 300\]

Step-by-step explanation:

Let x = number of out-of-state students at the college

Let y = number of in-state students at the college

As per the given problem, the constraints are as follows:

\[x < = 100\]    --------- (1)

\[y = 3 * x\]      --------- (2)

From the given equations (2), \[ x = y/3 \]

Substituting in (1):

\[y/3 < = 100\]

Or, \[y < = 300\] which is the constraint representing the incoming students.

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Answer: 0.68

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Answer:

Step-by-step explanation:

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This process is called dimensional analysis. The trick it uses is to cancel out units (like feet or days ) where possible. In this case, 1 day is going to cancel out and leave behind 24 hours. 1 foot will cancel out and leave behind 12 inches.

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