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3 years ago

Practice order of operations 8+3×2-4

Mathematics

1 answer:

REY [17]3 years ago

4 0

Answer:

Step-by-step explanation:

The acronym PEMDAS is helpful when learning order of operations. It stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction which is the order in which you solve an equation. For this set of numbers there are no parenthesis or exponents so you would start by multiplying 3*2=6 Then add the 8 to the 6 and you get 14 Subtract the 4 and the answer is 10

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Name an equivalent ratio for 1/2 with a denominator of 20

Westkost [7]

To begin with, equivalent fractions represent the same part of a whole number. So I need to find a fraction, with a denominator of 20, that is the same value as 1/2:
1/2 = ?/20
1*10/2*10 = 10/20

Since the denominator needed to be 20, I multiplied the numerator and the denominator (1/2) by 10 to get 10/20. So, 1/2 and 10/20 are equivalent.

8 0

3 years ago

There are 4 red marbles, 5 green marbles, 6 yellow marbles and 3 blue marbles in a bag. You select one marble at random. What is

steposvetlana [31]

Answer:

The probability can be written as;

6/18

0.333

33.3%

Step-by-step explanation:

First we find the total number of marbles.

4 + 5 + 6 + 3 = 18

Now write the probability in the form of (favourable outcomes / possible outcomes), or 6/18.

Now let's divide.

6 ÷ 18 = 0.33333333... repeating decimal

0.333 × 100 = 33.33333.....%

We can also round this to 33%

4 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:

A = Thomas bumps into Madeline at school

B = Thomas call Madeline on the phone

X = 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 U given that another events V 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.

6 0

4 years ago

Triangle ABC is graphed on a coordinate grid with vertices at A (-2, -4), B (2, -4) and C (0, 2). Triangle ABC is dilated by a s

Papessa [141]

Answer:

The rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:

(x, y) → (1/2x, 1/2y)

Step-by-step explanation:

Given the vertices of a triangle

A(-2, -4)

B(2, -4)

C(0, 2)

After the dilation, the vertices of an image triangle be

A' (-1, -2)

B '(1, -2)

C' (0, 1)

If we closely observe, we can notice that the image triangle vertices A'B'C' are half of the original triangle ABC.

i.e. (x, y) → (1/2x, 1/2y)

verification

A(-2, -4) → A'(-2/2, -4/2) = A'(-1, -2)

B(2, -4) → B'(2/2, -4/2) = B'(1, -2)

C(0, 2) → C'(0/2, 2/2) = C'(0, 1)

Thus, it is verified and we conclude that the rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:

(x, y) → (1/2x, 1/2y)

6 0

3 years ago

5×-3(4×-8)=-11 helppppppp

Damm [24]

5x - 3(4x-8) = -11

5x - 12x + 24 = -11

-7x + 24 = -11

-7x = - 35

x = 5

4 0

3 years ago