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3 years ago

7

what is the expression, equation, or inequality using x as your variable: The product of a number and its opposite, increased by

seven

1 answer:

olchik [2.2K]3 years ago

7 0

$x\cdot (-x)+7$

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Please answer ASAP and if you do you will get Brainliest. Catherine buys a gallon of ice cream from the store. After taking it h

rodikova [14]

Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

$\displaystyle \frac{2}{15}$ .

Step-by-step explanation:

Let $x$ be the amount of ice cream that Catherine's sister ate, in gallons.

Original amount: 1 gallon.

What Catherine ate: $\displaystyle \frac{1}{5}$ gallons.
What Catherine's sister ate is assumed to be $x$ gallons.

What's left: $\displaystyle \frac{2}{3}$ gallons.

Consider the relationship:

$\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}$ .

That is:

$\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}$ .

Add $x$ to both sides of this equation:

$\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x$

Substract $\displaystyle \frac{2}{3}$ from both sides:

$\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x$ .

Convert the denominator of all three numbers on the left-hand side to $3 \times 5 = 15$

$\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x$ .

$\displaystyle x = \frac{2}{15}$ .

In other words, Catherine's sister ate $\displaystyle \frac{2}{15}$ gallons of the ice cream.

3 0

3 years ago

Read 2 more answers

Solve the following 2 equation.<br>I will Make Brainliest

Levart [38]

Answer:

d. $x = 10$

e. $x=\sqrt[3]{\dfrac{15}{4}}$

Step-by-step explanation:

I've typed up my workings in MS Word and attached them (as it's very difficult to type this in the Brainly equation editor).

I've used the product, quotient and power log laws.

Product: $log_a(x)+log_a(y)=log_a(xy)$

Quotient: $log_a(x)-log_a(y)=log_a(\dfrac{x}{y})$

Power: $p\log_a(x)=log_a(x^p)$

8 0

3 years ago

How do you simplify 4x^6/2x-6

Ahat [919]

4x^6 / (2x - 6)

4x^6 / 2(x - 3)

2x^6 / (x - 3)

3 0

3 years ago

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A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6

ddd [48]

Answer:

The population of bacteria after 6 days is 2,313.06

Step-by-step explanation:

Given as :

The initial population of bacteria = i = 1,000 bacteria

The growth rate of bacteria per day = 15%

Let The population of bacteria after 6 days = f

The time period of growth = 6 days

<u>Now, According to question</u>

The population of bacteria after 6 days = initial population × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, f = i × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, f = 1000 × $(1+\dfrac{\textrm 15}{100})^{\textrm 6}$

Or, f = 1000 × $(1.15)^{6}$

Or, f = 1000 × 2.31306

∴ f = 2,313.06

So,The population of bacteria after 6 days = f = 2,313.06

Hence,The population of bacteria after 6 days is 2,313.06 Answer

3 0

3 years ago

If you spend 2.5 hours a week studying for English and 6.5 hours studying for math what is the ratio of time spent studying in m

melisa1 [442]

Answer:

6.5:2.5 or 6.5/2.5 or 6.5 to 2.5

Step-by-step explanation:

A ratio is two numbers put together by a colon, slash (fraction), or "to"

This particular questions asks for math to English, so put in the Math ratio first then English.

8 0

3 years ago