Which expression is equivalent to - 3 (4x - 2)

Shania wanted her friend Radhika’s mobile number. But Radhika played a trick. She gave her a 10-digit mobile number she uses in

Daniel [21]

This question involves basic arithmetic signs and simplifying of bracket terms.

Mobile number is; 9 6 4 1 2 7 8 1 2 3

a) 2x - 5 = 7

Add 5 to both sides to get;

2x = 12

x = 12/2

x = 6

b) 2(p + 1) = p + 4

Expanding the bracket gives;

2p + 2 = p + 4

Rearranging gives;

2p - p = 4 - 2

p = 2

c) 5(y + 1) = 25

Expanding the bracket gives;

5y + 5 = 25

5y = 25 - 5

5y = 20

y = 20/5

y = 4

d) 5(q –1) + 3q = 10 + 1

Expanding the bracket gives;

5q - 5 + 3q = 11

2q - 5 = 11

add 5 to both sides to get;

2q = 16

q = 16/2

q = 8

Question E and F are not clear but as it is r and z that are yet to be gotten, i have gotten the right equations from the brainly link at the end of this page.

e) 8z - 8 = 6z + 8

Rearranging, we have;

8z - 6z = 8 - 6

2z = 2

z = 2/2

z = 1

f) 3(r+10) + 200 = 236

Expanding the bracket and rearranging, we have;

3r + 30 = 236 - 200

3r = 236 - 200 - 30

3r = 6

r = 6/3

r = 2

So we now have;

x = 6; y = 4; z = 1; p = 2; q = 8; r = 2

Mobile number is; 9 6 4 1 2 7 8 1 2 3

Read more here; brainly.in/question/24417680?tbs_match=1

7 0

3 years ago

Find the slope of the lines graphed below. Giving brainliest to whoever answers all correct.

Rashid [163]

Answer:

1.slope is 2

2.slope is -3/5

3.slope is 1

4.vertical line slope 0 undefined

5.x=-5

6.horizontal line slope 0 undefined

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Jonah is mowing lawns for a summer job. For every mowing job, he charges an

dem82 [27]

Answer:

$2.00

Step-by-step explanation:

8 times 6= 56

58 - 56= 2

5 0

3 years ago

You are working for a company that designs boxes, bottles and other containers. You are currently working on a design for a milk

ra1l [238]

Volume is a measure of the quantity of substance a given object can contain. The required answers are:

1.1 The volume of each milk carton is 360 $cm^{3}$ .

1.2 The area of cardboard required to make a single milk carton is 332.6 $cm^{2}$ .

1.3 Each carton can hold 0.36 liters of milk.

1.4 The cost of filling the 200 cartons is R 86.40.

The volume of a given shape is the amount of substance that it can contain in a 3-dimensional plane. Examples of shapes with volume include cubes, cuboids, spheres, etc.

The area of a given shape is the amount of space that it would cover on a 2-dimensional plane. Examples of shapes to be considered when dealing with the area include triangle, square, rectangle, trapezium, etc.

The box to be considered in the question is a cuboid. So that;

Volume of cuboid = length x width x height

Thus,

1.1 The volume of each milk carton = length x width x height

= 6 x 6 x 10

= 360

The volume of each milk carton is 360 $cm^{3}$ .

1.2 The total area of cardboard required to make a single milk carton can be determined as follows:

i. Area of the rectangular surface = length x width

= 6 x 10

= 60

Total area of the rectangular surfaces = 4 x 60

= 240 $cm^{2}$

ii. Area of the square surface = side x side = s²

= 6 x 6

Area of the square surface = 36 $cm^{2}$

iii. There are four semicircular surfaces, this implies a total of 2 circles.

Area of a circle = $\pi r^{2}$

where r is the radius of the circle.

Total area of the semicircular surfaces = 2 $\pi r^{2}$

= 2 x $\frac{22}{7}$ x $(3)^{2}$

= 56.57

Total area of the semicircular surfaces = 56.6 $cm^{2}$

Therefore, total area of cardboard required = 240 + 36 + 56.6

= 332.6 $cm^{2}$

The area of cardboard required to make a single milk carton is 332.6 $cm^{2}$ .

1.3 Since,

1 $cm^{3}$ = 0.001 Liter

Then,

360 $cm^{3}$ = x

x = 360 x 0.001

= 0.36 Liters

Thus each carton can hold 0.36 liters of milk.

1.4 total cartons = 200

Total volume of milk required = 200 x 0.36

= 72 litres

But, 1 kiloliter costs R1 200. Thus

Total volume in kiloliters = $\frac{72}{1000}$

= 0.072 kiloliters

The cost of filling the 200 cartons = R1200 x 0.072

= R 86.40

The cost of filling the 200 cartons is R 86.40.

For more clarifications on the volume of a cuboid, visit: brainly.com/question/20463446

#SPJ1

4 0

2 years ago

Tommy earns $9.00 per hour proofreading drafts for authors, plus an additional $45 for travel. Let f(x) represents Tommy's total

Darya [45]

Answer:

f(x) = 9x + 45

Step-by-step explanation:

Pretty sure this is the answer, but that assumes he's only traveling once.

5 0

3 years ago

Which expression is equivalent to - 3 (4x - 2) - 2x ?