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2 years ago

7

Evaluate each expression below.1. 7-2(x-4) when x=5

2 answers:

Llana [10]2 years ago

8 0

Answer:

<h2>5</h2>

Step-by-step explanation:

$7-2(x-4)\qquad\text{put}\ x=5\ \text{to the given expression}\\\\7-2(5-4)\qquad\text{use PEMDAS - Parentheses first}\\\\=7-2(1)\qquad\text{Next Multiplication}\\\\=7-2\qquad\text{Next Subtraction}\\\\=5$

solniwko [45]2 years ago

5 0

Answer:

5

Step-by-step explanation:

7−2×(5−4)

7−2×1

7−2

5

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100 points! Which statements are correct interpretations of this graph?

prohojiy [21]

Answer: 3 boxes every 4 minutes, and 0.75 boxed every minute. And 0.75 boxes are filled per minute.

Step-by-step explanation: Hope This Helps!

5 0

10 months ago

A jar contains 38 red marbles numbered 1 to 38 and 38 blue marbles numbered 1 to 38 a marble is drawn at random from the jar

liq [111]

Answer:

$P(Red) = 0.50$ '

$P(Odd) = 0.50\\$

Step-by-step explanation:

Given

$Red = 38$

$Blue = 38$

Required (Missing part of the question)

(a) The marble is red. (b) The marble is odd-numbered

Solving (a): Probability of Red.

This is calculated as:

$P(Red) = \frac{Red}{Total}$

$P(Red) = \frac{38}{38+38}$

$P(Red) = \frac{38}{76}$

$P(Red) = 0.50$

Solving (b): Probability of Odd

Since each marble type is numbered 1 to 38, then half of it are odd.

i.e. 19 odd numbered red marbles and 19 odd numbered blue marbles.

So, the probability of odd is:

$P(Odd) = \frac{Odd}{Total}$

$P(Odd) = \frac{19+19}{38+38}$

$P(Odd) = \frac{38}{76}$

$P(Odd) = 0.50\\$

5 0

3 years ago

Calculus= Integrate 5^x dx please break down how answer is 1/6x^6+C

aleksley [76]

Answer:

$\int\limits {5^x} \, dx = \frac{5^x}{ln\ x} + c$

Step-by-step explanation:

Note that the integral of $5^x$ is not $\frac{1}{6}x^6 + c$

The solution is as follows:

Given

$5^x$

Required

Integrate

Represent the given expression using integral notation

$\int\limits {5^x} \, dx$

This question can't be solved directly;

We'll make use of exponential rules which states;

$\int\limits {a^x} \, dx = \frac{a^x}{ln\ x} + c$

By comparing $\int\limits {5^x} \, dx$ with $\int\limits {a^x} \, dx$ ;

we can substitute 5 for a;

Hence, the expression $\int\limits {a^x} \, dx = \frac{a^x}{ln\ x} + c$ becomes

$\int\limits {5^x} \, dx = \frac{5^x}{ln\ x} + c$

-------------------------------------------------------------------------------------

However, the integral of $x^5$ is $\frac{1}{6}x^6 + c$

This is shown below:

Given that $x^5$

Applying power rule;

Power rule states that

$\int\limits{x^n}\ dx = \frac{x^{n+1}}{n+1} + c$

In this case ( $x^5$ ), n = 5;

So, $\int\limits{x^n}\ dx= \frac{x^{n+1}}{n+1} + c$

becomes

$\int\limits{x^5}\ dx = \frac{x^{5+1}}{5+1} + c$

$\int\limits{x^5}\ dx = \frac{x^{6}}{6} + c$

$\int\limits{x^5}\ dx= \frac{x^{6}}{6} + c$

4 0

3 years ago

After walking 1/4 mile from home and Han is 1/3 of his way to school. What is the distance between his home in school right mult

PilotLPTM [1.2K]

Answer:

Distance from home to school = $\frac{1}{4}\times 3= \frac{3}{4}\ mile$

Step-by-step explanation:

Let the distance from home to school be = $x$ miles

After walking $\frac{1}{4}$ mile, Han is $\frac{1}{3}$ rd of the way.

$\frac{1}{3} \textrm{ of the total distance } = \frac{1}{4}\ mile$

$\frac{1}{3}x= \frac{1}{4}\ mile$

Multiplying both sides by $3$

$3\times\frac{1}{3}x= \frac{1}{4}\times 3$

$x= \frac{3}{4}\ mile$

Distance from home to school = $\frac{3}{4}\ mile$

5 0

3 years ago

Convert 192 cups to gallons. Enter your answers in the boxes. There are cups in 1 gallon. Therefore, 192 cups is equal to gallon

Hatshy [7]

Answer:

192 cups is equal to 12 gallons

Step-by-step explanation:

we know that

1 cup=0.0625 gal

or

1 gal=16 cups

Method 1

192 cups=192*0.0625=12 gal

Method 2

192 cups=192/16=12 gal

7 0

3 years ago