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2 years ago

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).

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Metal A has a density of 12.7 g/cm3.

stira [4]

Using the given information, the density of metal B is 8.58 g/cm³

<h3>Calculating density </h3>

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

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5 0

2 years ago

10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4

jeyben [28]

you have the ratio of natural:synthetic so;

3:4

3+4=7

357/7=51

3*51:4°51

153:204

therefore, it'd be 204 litres of synthetic oil!!

i hope this helps you!!

7 0

2 years ago

Can you do this because it is confusing to me

erica [24]

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder is 1330.4644 cm³.

<h3>What is a cylinder?</h3>

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

Given the height of the cylinder is 14 cm, while the diameter of the cylinder is 11 cm. Therefore, the volume of the cylinder can be written as,

The volume of the cylinder = (π/4)×(D²) × H

= (π/4)×(11)² × 14

= 1330.5 cm³

Hence, the volume of the cylinder is 1330.5cm³.

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3 0

2 years ago

Evaluate x/y + 5 w^2, for x = 2/3 and y = 5/6, and w = 3

tresset_1 [31]

2/3 / 5/6 + 5 (3)^2

= 2/3 * 6/5 + 45

= 12/15 + 45

= 45 4/5 Answer

5 0

4 years ago

One-third of a number x is equal to 22 less than the number

algol [13]

One-third of a number x is equal to 22 less than the number.

(1/3)x=x-22

6 0

3 years ago