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VARVARA [1.3K]
2 years ago
10

Which stem-and-leaf plot represents this data? 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78 A stem-and-leaf plot with a stem value

of 3 with a leaf value of 0, a stem value of 4, a stem value of 5 with a leaf value of 0, a stem value of 6 with a leaf value of 0, a stem value of 7 with a leaf value of 0, a stem value of 8 with a leaf value of 0, and a stem value of 9 with a leaf value of 0. Key: 5|0 means 50 A stem-and-leaf plot with a stem value of 3 with a leaf value of 0, a stem value of 4, a stem value of 5 with a leaf value of 4, 5, a stem value of 6 with a leaf value of 6, a stem value of 7 with a leaf value of 8, 9, a stem value of 8 with a leaf value of 0, 1, and a stem value of 9 with a leaf value of 1, 2. Key: 5|4 means 54 A stem-and-leaf plot with a stem value of 3 with a leaf value of 0, a stem value of 4, a stem value of 5 with a leaf value of 4, 5, 5, a stem value of 6 with a leaf value of 6, a stem value of 7 with a leaf value of 8, 9, a stem value of 8 with a leaf value of 0, 1, and a stem value of 9 with a leaf value of 1, 2. Key: 5|4 means 54 A stem-and-leaf plot with a stem value of 3 with a leaf value of 1, a stem value of 4, a stem value of 5 with a leaf value of 4, 5, 5, 6, a stem value of 6 with a leaf value of 6, a stem value of 7 with a leaf value of 6, 8, a stem value of 8 with a leaf value of 1, 7, and a stem value of 9 with a leaf value of 1. Key: 5|4 means 54
Mathematics
1 answer:
Rama09 [41]2 years ago
3 0

You are solving for a stem-and-leaf plot that represents the given data: 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78.

Note that a stem-and-leaf plot is used in this way:

For example: 8|7

In this case, the stem is the tens place value, and is signified by 8. 7, on the other hand, is the ones place value. <em>Multiple leafs can share the same stem</em>. For example, a stem-and-leaf plot of 85, 86, 87, would give you 8|5 , 6 , 7.

Now, set the given data set in order:

30 , 54 , 55 ,  55 , 66 , 78 , 79 , 80 , 81 , 91 , 92

Now, create the stem-and-leaf plot:

Stem | Leaf

\left[\begin{array}{c|ccc}3&0\\5&4&5&5\\6&6\\7&8&9\\8&0&1\\9&1&2\end{array}\right]

~

Your answer will be:

A stem value of 3, with a leaf value of 0. A stem value of 5, with a leaf value of 4 & 5. A stem value of 6, and a leaf value of 6. A stem value of 7, and a leaf value of 8 & 9. A stem value of 8, and a leaf value of 0 & 1. A stem value of 9, and a leaf value of 1 & 2.

~

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What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?
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Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

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3 years ago
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Eli and Angela are saving money to buy their grandparents an anniversary gift. Eli has saved 8 more than 1/3 of Angela's savings
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Answer:

$10

Step-by-step explanation:

Let a = the amount Angela has saved.

Let e = the amount Eli has saved.

"Eli has saved $8 more than 1/3 of Angela's savings."

e = a/3 + 8

"If they each save $10 more." then

Eli will have: e + 10

Angela will have a + 10

"Eli will have saved $4 more than Angela's savings."

e + 10 = a + 10 + 4

This equation simplifies to: e = a + 4

We have a system of two equations in two variables.

e = a/3 + 8

e = a + 4

Since both equations are solved for e, we just equate the right sides.

a/3 + 8 = a + 4

Subtract a/3 from both sides. Subtract 4 from both sides.

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Multiply both sides by 3/2

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a = 6

Angela has $6.

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