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kkurt [141]
2 years ago
8

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

Mathematics
1 answer:
-BARSIC- [3]2 years ago
8 0

The algebraic expression of the given sentence is: 7(x - 1).

<h3>How to Write an Algebraic Expression?</h3>

Let the unknown number be represented as x.

The word "difference" means subtraction which is "-". Multiplied means times.

We would have the following:

"Difference of x and 1" is: x - 1

x - 1 multiplied by 7 would be: 7(x - 1)

Therefore, the algebraic expression is: 7(x - 1).

Learn more about algebraic expression on:

brainly.com/question/2164351

#SPJ1

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8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)?
Marysya12 [62]

Answer:

The total percent decrease is $a+b-\frac{a b}{100}$

Step-by-step explanation:

  • We are given with a word problem
  • We are asked to find the total percentage decrease
  • We can do this in two steps

         Step 1: Finding the two percentage decrease

         Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

$$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$$

Step 2 of 2

The percentage difference between the two percentages is,

$$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$$

Since 100 is the total percent $a+b-\frac{a b}{100}$ is the percentage decrease.

3 0
2 years ago
I need help the question is solve the equation n+75=155​
SashulF [63]
All you need to do for this is 155-75 which would be 80 :) hope this helps
5 0
2 years ago
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A mathematical model for a function is
Lemur [1.5K]

Find a and b to the nearest integer↑

6 0
3 years ago
The diameter of the base of the cone measures 8 units. The height measures 6 units. A cone has a diameter of 8 units and a heigh
Brilliant_brown [7]

Answer: V = 100.48

Step-by-step explanation:

To get this value, you need to know the formula of the volume of the cone, which is:

V = π*r^2*h / 3

Where:

r: cone radius

h: height

π: value of pi which is 3.14

Now the radius, is half the diameter of base of the cone so:

r = 8 / 2 = 4 units

Now we have all the data needed to get the volume of the cone, let's use the expression given above:

V = 3.14 * (4)^2 * 6 / 3

V = 3.14 * 16 * 6 / 3

V = 301.44 / 3

V = 100.48

8 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points ( 3 , 1 ) and ( − 3 , − 7 ) ?
Vladimir79 [104]

Answer:

y = 4/3x - 3

Step-by-step explanation:

Use this formula to find the slope first.

(y2 - y1) / (x2 - x1)

(x2, y2) --> (-3, -7)

(x1, y1) ---> (3, 1)

Now plug in:

(-7 - 1) / (-3 - 3)  =  -8 / -6  =  4/3

Now find the y intercept by plugging any points to y= 4/3x + b

I will use (3, 1).

1 = 4/3(3) + b  

1 = 4 + b  (subtract 4 on both sides)

-3 = b

So the formula is

y = 4/3x - 3

7 0
3 years ago
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