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Licemer1 [7]
2 years ago
12

A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on the shelf. The ratio of the number

of packages of corn tortillas to the total number of packages on the shelf was 7 to 16.
Which number could be the number of packages of flour tortillas the clerk put on the shelf?
Mathematics
1 answer:
nlexa [21]2 years ago
3 0

Answer:

x is the 9 multiple = 9x

Step-by-step explanation:

  • Let x is the numbers of flour tortillas packages
  • Let y is the numbers of corn tortillas packages

=> the total packages : x + y

Given that the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16, it means:

<=> \frac{y}{x + y} = \frac{7}{16}

<=> 16y = 7x+7y

<=> 9y = 7x

<=> x = \frac{9y}{7}

since both x and y are integers y is in the form of 7k where k∈N so

x = 9k

So x is the 9 multiple.

Hope it will find you well.

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There are 36 students in Mrs.Keatons's sixth grade class. If 5/12 of her students are girls, how many girls in the class?
murzikaleks [220]
There are 15 girls because 12 x 3 = 36 and 5 x 3 = 15
6 0
3 years ago
Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second car
Nikolay [14]

Answer:

probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3

Step-by-step explanation:

First of all;

Let B1 be the event that the card with two red sides is selected

Let B2 be the event that the

card with two black sides is selected

Let B3 be the event that the card with one red side and one black side is

selected

Let A be the event that the upper side of the selected card (when put down on the ground)

is red.

Now, from the question;

P(B3) = ⅓

P(A|B3) = ½

P(B1) = ⅓

P(A|B1) = 1

P(B2) = ⅓

P(A|B2)) = 0

(P(B3) = ⅓

P(A|B3) = ½

Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;

P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]

Thus;

P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]

P(B3|A) = (1/6)/(⅓ + 0 + 1/6)

P(B3|A) = (1/6)/(1/2)

P(B3|A) = 1/3

5 0
3 years ago
Point B lies between points A and C on AC. Let x
Alex_Xolod [135]

Set up the following equation for this segment:

x is segment AB's length, and 3x is segment BC's length. 20 is segment AC's length.

Combine like terms:

Divide both sides by 4 to get x by itself:

x will equal 5.

Plug this value into the values for both segments:

Segment AB:

Segment AB is 5 inches long.

Segment BC:

Segment BC is 15 inches long.

5 0
3 years ago
Find the sum of (x + 5),(-4x - 2) and (2x - 1)
Elina [12.6K]

Answer:

-x + 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

(x + 5) + (-4x - 2) + (2x - 1)

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                     -x + 5 - 2 - 1
  2. Combine like terms (Z):                     -x + 2
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Lorico [155]

Answer:

I do not know

Step-by-step explanation:

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