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3 years ago

What's an equivalent fraction for 10 15 by dividing

Mathematics

2 answers:

grandymaker [24]3 years ago

5 0

Well you can see that 10/15 are both divisible by 5 so 10/5 =2 and 15/5 =3 so it equals 2/3.

Fofino [41]3 years ago

4 0

The correct answer is two thirds

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20 business cards are placed in a hat, 10 belong to women, 10 belong yo men If 2 cards are drawn at once. what's the probability

erik [133]

Answer:

First choice:

$\large\boxed{\large\boxed{5/19}}$

Explanation:

The probability that the first is a man's card and the second, a woman's card is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.

In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.

1. Probability that the first is a man's card

Number of cards in the hat = 20 (the 20 business card)

Number of man's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.

2. Probability that the second is a woman's card

Number of cards in the hat = 19 (there is one less card in the hat)

Number of wonan's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/19.

3. Probability that the first is a man's card and the second, a woman's card

(1/2) × (10/19) = 5/19

That is the first choice.

5 0

3 years ago

Read 2 more answers

6 ( x - 1 ) = 9( x - 4 ) solve for x I'm giving points pls answer fast

Alex

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

6(x - 1) = 9(x - 4)

Step 2: Solve for x

Distribute: 6x - 6 = 9x - 36
Subtract 6x on both sides: -6 = 3x - 36
Isolate x term: 30 = 3x
Isolate x: 10 = x
Rewrite: x = 10

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 6(10 - 1) = 9(10 - 4)
Subtract: 6(9) = 9(6)

Here we see that the 2 expressions are exactly the same.

∴ x = 10 is the solution to the equation.

6 0

3 years ago

Sam chose one marble from a bag containing 2 red marbles, 3 white marbles, and 10 black marbles. Find the probability that the m

Anvisha [2.4K]

Answer:

P(black) = 2/3

Step-by-step explanation:

We need to find the total number of marbles

2 red marbles+ 3 white marbles+ 10 black marbles = 15 marbles

To find the probability that Sam chose a black marble, we take the number of black marbles and divide by the total number of marbles

P(black) = black marbles/total marbles

= 10/15

Divide the top and bottom by 5

= 2/3

7 0

3 years ago

Consider the equation below.

Korvikt [17]

Answer:

Equation in square form:

$y=3(x+5)^2-4$

Extreme value:

$(h,k)=(-5,-4)$

Step-by-step explanation:

We are given

$y=3x^2+30x+71$

we can complete square

$y=3(x^2+10x)+71$

we can use formula

$a^2+2ab+b^2=(a+b)^2$

$y=3(x^2+2\times x\times 5)+71$

now, we can add and subtract 5^2

$y=3(x^2+2\times x\times 5+5^2-5^2)+71$

$y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71$

$y=3(x+5)^2-75+71$

So, we get equation as

$y=3(x+5)^2-4$

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

$y=a(x-h)^2+k$

where

vertex=(h,k)

now, we can compare and find h and k

$y=3(x+5)^2-4$

we get

h=-5

k=-4

so, extreme value of this equation is

$(h,k)=(-5,-4)$

6 0

4 years ago

Read 2 more answers

A car is said to get 25 miles per gallon on a highway, but this value can fluctuate by 6 miles per gallon, at most. Which of the

Pepsi [2]

Answer:

$| x1 -25\ | \leq\ 6$ is the correct answer to the given question.

Step-by-step explanation:

Missing information

In this question options are missing.Following are the option

(a) $| x1 -25\ | \leq\ 6$

(b) $| x1 - 6 |\ > 25$

(d) $| x1 +25 |\ > 6$

As mention in the question On the highway, car is said to get 25 miles per gallon

We assume $x1= 25$

also that the value of $x1$ is fluctuate by 6 miles per gallon

$x1 \leq \ 25\ \pm\ 6$

This can be written as

$x1\ -25 \leq \ \pm\ 6$

Therefore

$| x1 -25\ | \leq\ 6$ is the answer

8 0

3 years ago

Read 2 more answers