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hodyreva [135]
2 years ago
12

dee’s age is twice Max’s age plus two more.Write an expression to represent Dee’s age.Then evaluate the expression when Max is 7

years old.Let x represent Max’s Age
Mathematics
2 answers:
Mandarinka [93]2 years ago
5 0

D=2x+2

X=7

Plug in the value for Max's age.

D=2(7)+2

D=14+2

D=16

Max is 7

Dee is 16

spayn [35]2 years ago
3 0
Dee is 16 because if Dee is twice the age of Max and Max is 7 you will do 7x2 which equals 14 plus 2 equals 16 so therefore Dee is 16.
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valentina_108 [34]

9514 1404 393

Answer:

  A

Step-by-step explanation:

When angles are between the parallel lines, they are called <em>interior</em>. If they are both on the same side of the transversal, they are "same-side interior."

If angles are on opposite sides of the transversal, they are <em>exterior</em>.

If angles are in the same direction from the intersection point, they are <em>corresponding</em>.

Angles in opposite directions from the point of intersection are <em>vertical</em> angles.

  same-side interior: {3, 5} and {4, 6}. (supplementary)

  same-side exterior: {1, 7} and {2, 8}. (supplementary)

  alternate interior: {3, 6} and {4, 5}. (congruent)

  alternate exterior: {1, 8} and {2, 7}. (congruent)

  corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)

  vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)

Angles 6 and 4 are same-side interior angles; their sum is 180°.

6 0
2 years ago
Celeste is making fruit baskets for a local hospital. The directions say to use 5 apples for every 6 oranges. Celeste is filling
MariettaO [177]

Answer:

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

<u>10:12 , 15:18, 20:24, 25:30</u>

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

<u>4:6 , 6:9, 8:12, 10:15, 12:18</u>

C. We have the same number of oranges at:

<u>10:12 and 8:12</u>

<u>15:18 and 12:18</u>

<u>Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.</u>

Step-by-step explanation:

1. Let's check all the information provided to answer the question correctly:

Ratio that the local hospital say to Celeste to use : 5 apples for every 6 oranges

Ratio that Celeste is actually using: 2 apples for every 3 oranges

2.  Complete the tables to find equivalent ratios.

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

3. Circle two columns, one in each table, in which the number of oranges is the same.

We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

8 0
3 years ago
Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the
mash [69]

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

<em>A</em> = Thomas bumps into Madeline at school

<em>B</em> = Thomas call Madeline on the phone

<em>X</em> = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event <em>U</em> given that another events <em>V</em> has already occurred is:

P(U|V)=\frac{P(V|U)P(U)}{P(V)}

The law of total probability states that:

P(V)=P(V|U)P(U)+P(V|U')P(U')

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

P(X) = P(X|A)P(A)+P(X|B)P(B)

         =(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84

Compute the value of P (B|X) as follows:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}

             =\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

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3 years ago
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Marysya12 [62]
Hello : 
by moivre theorem : 
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</span>a = b = 4√2 
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