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Komok [63]
3 years ago
15

Solve using elimination. 5x + 7y = -6 4x + 7y = -9

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0
Answer:

Simplifying
5x + 7y = -6

Solving
5x + 7y = -6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.
5x + 7y + -7y = -6 + -7y

Combine like terms: 7y + -7y = 0
5x + 0 = -6 + -7y
5x = -6 + -7y

Divide each side by '5'.
x = -1.2 + -1.4y

Simplifying
x = -1.2 + -1.4y
__________________________________

Simplifying
4x + 7y = -9

Solving
4x + 7y = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.
4x + 7y + -7y = -9 + -7y

Combine like terms: 7y + -7y = 0
4x + 0 = -9 + -7y
4x = -9 + -7y

Divide each side by '4'.
x = -2.25 + -1.75y

Simplifying
x = -2.25 + -1.75y
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. In the 2012 Olympics, Usain Bolt ran the 100m dash in 9.63 seconds. Jim Hines won the 1968 Olympic gold with a time of 9.95 se
Nimfa-mama [501]

Answer:

A. 3.2% faster

B. 3.3% slower

C. 103.3%

Step-by-step explanation:

In order to find this out, we need to take the differences and divide them by the comparative time. So, in the first one, we take the difference (.32) and divide it by Hines time.

.32/9.63 = 3.2%

In the second, we take the difference and divide by Bolt's time.

.32/9.95 = 3.3%

And finally, in the last one, we take Hines' time and divide by Bolt's.

9.95/9.63 = 103.3%

3 1
4 years ago
Urgent answers with answers
Ivahew [28]

Step-by-step explanation:

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8 0
4 years ago
The graph shows the distribution of the amount of chicken (in ounces) that adults eat in one sitting.
puteri [66]

Using concepts of the normal and of the uniform distribution, it is found that the correct option is:

The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.

  • In an uniform distribution, all outcomes are equally as likely, thus they have the same height.
  • In the normal distribution, the outcomes with the highest likelihood are those closest to the mean, thus they have the highest height. This means that the mean of this distribution is 8.
  • The standard deviation cannot be a negative value, so in this problem, it is 1.2, which means that the correct option is:

The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.

A similar problem is given at brainly.com/question/25128186

7 0
3 years ago
A number is divided by 1/4.Write an expression for this situation.
UNO [17]

Answer:

x ÷ 1/4

Step-by-step explanation:

<u>Concepts:</u>

  • An expression a mathematical sentence that has at least two numbers and a minimum of one math operation (addition, subtraction, etc.) in it. An expression cannot have an = sign in it.
  • A variable is an unknown, numerical value in an equation, often represented by the letter x.

<u>Solving:</u>

Let's translate the first part of the expression:

1. "A number"

  • Since we're unaware of the number in this expression, we can mark it as a variable, x.
  • This means that, so far for our expression, we only have the variable, "x".

2. "divided by 1/4"

  • When we're dividing, we use the ÷ symbol to represent that operation.
  • Now, let's put the first part of our expression with the second one: "x ÷ 1/4"

Therefore, the expression for this situation is x ÷ 1/4.

8 0
3 years ago
Read 2 more answers
Ruby is making a punch. for every 3/4 cups of juice, ruby adds 1/2 cups of soda. Enter the number of cups of juice will ruby add
dedylja [7]

Answer:

She would need 6/4 or 1 1/2 cups juice

Step-by-step explanation:

7 0
3 years ago
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