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3 years ago

ITO

Mathematics

2 answers:

Setler [38]3 years ago

8 0

Using the speed - distance relationship, the time left before the appointed time is 27 minutes.

Recall :

Distance = speed × time

Let time = t

At 10mph :

Distance = 10 × (t + 3) = 10t + 30 - - - (1)

At 12 mph :

Distance = 12 × (t - 2) = 12t - 24 - - - - (2)

Equate (1) and (2) :

10t + 30 = 12t - 24

Collect like terms

10t - 12t = - 24 - 30

-2t = - 54

Divide both sides by - 2

t = 54 / 2

t = 27

Hence, the time left before the appointed time is 27 minutes.

Learn more : brainly.com/question/25669152

jasenka [17]3 years ago

3 0

Answer:

Step-by-step explanation:

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Answer: Problem 3: 20 laps per day,

Inequality: x >=20 per day

Problem 4: minimum of 8 employees

Step-by-step explanation:

Given that the goal is 600 laps in a month

And a month contains 30days, to achieve 600 laps, we divide 600 laps by 30 days

= 600/30= 20

Reem needs to swim a minimum of 20 laps per day to achieve her goal.

Inequality: x should be greater than or equal to 20 laps daily.

x >= 20

Problem 4:

Given that each employee can paint 85square feet per hour

The building has 1360 square feet and to be completed in two hours

Number of employees to complete the job in one hourwill be 1360/85 = 16

If 16 employees will complete 1360 per hour, then 8 employees will complete the work in 2 hours.

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3 years ago

Explain the advantages and disadvantages of each payment method

Fofino [41]

Answer + Explanation:

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6 0

3 years ago

Read 2 more answers

Which value of a would make the following expression completely factored? X^

ololo11 [35]

Answer:

A. 12

Step-by-step explanation:

Selecting B, C, or D would create a difference of perfect squares since each of these numbers are perfect squares. Additional factoring would then be needed.

$x^2-36 = (x+6)(x-6)\\x^2-49 = (x+7)(x-7)\\x^2-81=(x+9)(x-9)$

But selecting 12 gives $x^2-12$ which cannot be factored. It is factored completely.

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4 years ago

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What value of x would make line m || line n?

8_murik_8 [283]

54 as opposite angles are the same and they need to have the same angle to be parallel

7 0

3 years ago

the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)

Veronika [31]

Hey there :)

We know the area formula of a triangle
$\frac{1}{2} (base)(height)$

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9

Apply the formula
56 = $\frac{1}{2}$ × ( p ) × ( p - 9 )
56 = $\frac{1}{2}$ × ( p² - 9p )

Divide $\frac{1}{2}$ on both sides
56 ÷ $\frac{1}{2}$ = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
p² - 9p - 112

Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
↓ ↓
p = 16 p = - 7 ← Reject p = - 7 since length cannot be negative

So, the length of the base is 16 m

Check:
56 m² = $\frac{1}{2}$ × 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²

7 0

3 years ago