What is the measure of the angle formed by the minute hand and hour hand of a clock in each case?

Bottles of sparkling water usually cost $1.69 each. This week they are in sale for 4 for $5. You bought one last week and one th

Phantasy [73]

Answer:

The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.

We pay $0.44 less this week.

Step-by-step explanation:

Given,

Cost of 1 sparkling bottle last week = $1.69

This week cost of 4 bottles is $5.

So we have to find the cost of 1 bottle.

For this we use the unitary method, we get the cost of 1 bottle;

Cost of 1 sparkling bottle this week = $\frac{5}{4}=\$1.25$

The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.

For finding how much we pay less this week, we have to subtract cost of 1 sparkling bottle this week from cost of 1 sparkling bottle last week.

Framing the above sentence in equation form, we get;

$Amount\ of\ money\ we\ pay\ less=1.69-1.25=\$0.44$

Hence we pay $0.44 less this week.

8 0

3 years ago

(08.01, 8.02 MC) An expression is shown below: 18x3y − 9x2y − 72xy3 + 36y3 Part A: Rewrite the expression so the GCF is factored

vitfil [10]

Answer:

9y(2x - 1)(x - 2y)(x + 2y)

Step-by-step explanation:

Given

18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term

= 9y(2x³ - x² - 8xy² + 4y²)

Factor the first/second and third/fourth term in the parenthesis

= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term

= 9y(2x - 1)(x² - 4y²)

x² - 4y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y), hence

18x³y - 9x²y + 72xy³ + 36y³

= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form

7 0

3 years ago

A cylinder has radius 2.5 cm and lateral area 20 pi cm^2. What is the surface area of the cylinder in terms of pi?

Novosadov [1.4K]

This is the concept of areas of solid materials; the surface area of the cylinder whose radius is 2.5 cm and lateral area is 20 pi cm^2 will be: Surface area of cylinder is given by:
SA=(area of cyclic sides)+(lateral area)
SA=2πr^2+πrl
Area of the cyclic sides will be:
Area=2πr^2
=2*π*2.5^2
=12.5π cm^2
The lateral area is given by:
Area=20π cm^2
Therefore the surface area of cylinder will be:
SA=(12.5π+20π) cm^2
SA=32.5π cm^2
The answer is 32.5π cm^2

4 0

3 years ago

Please help i really need help!

umka21 [38]

Whenever you are graphing an inequality,

< or > means the line is dotted
≤ or ≥ means the line is full and complete

The equation is x ≤ 3 so the answer is either A or B

x ≤ 3 means that x is less than or equal to 3, so the part that is shaded blue is supposed to be 3 and below.

The answer is A

6 0

3 years ago

Read 2 more answers

Find two consecutive integers whose product is 702

trasher [3.6K]

2 consecutive integers with the product of 702 are 27 • 26, or since the question doesn’t specify whether it should be positive or negative, it could also be (-27) • (-26)

6 0

3 years ago