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Burka [1]
2 years ago
15

Simplify the expression 9t^2+14-17t+6t-8t^2

Mathematics
1 answer:
slamgirl [31]2 years ago
6 0

Answer:

t^2 - 11t + 14

Step-by-step explanation:

Begin by grouping like terms in 9t^2+14-17t+6t-8t^2.

First we have 9t^2 - 8t^2, or 1t^2.

Next, we have -17t + 6t, or -11t.

Last, we have the constant term 14.

The expression in simplified form is t^2 - 11t + 14.

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Mel's Furniture received an invoice dated September 27 for 5 bedroom sets at $3,000 each. The invoice indicated a chain discount
LenKa [72]

Answer: $12,916.70

Step-by-step explanation:

Given the following:

Invoice received :

Bedroom set = 5

Cost per set = $3,000

Chain discount = 5/8/3

Freight cost = $200

If Mel pays within the discount period:

Chain discount given = 5/8/3

Therefore, net equivalent price rate equals:

(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =

0.95 × 0.92 × 0.97 = 0.84778

Net price = total cost × 0.84778

($3000 × 5) × 0.84778

$15000 × 0.84778 = $12,716.7

Net equivalent price + FOB Shipping

$12,716.7 + $200 = $12,916.70

5 0
3 years ago
Best Buy is displaying 15 laptops for a big store sale. The laptops include 6 identical​ Dells, 4 identical​ Chromebooks, and 5
Alchen [17]

Answer:

630,630 different arrangements are possible for the given laptops.

Step-by-step explanation:

Total number of laptops = n = 15

Number of identical Dell laptops  = 6

Number of identical Chromebooks  = 4

Number of identical Mackbooks = 5

We have to find in how many ways can the laptops be arranged. Number of arrangement of objects is calculated using Permutations as the order of objects matter during the arrangement. The formula to calculate the number of possible arrangements when there are similar objects is given as:

\frac{n!}{a!b!c!...}

Here n is the total number of objects and a,b, and c represent the number of identical objects. Using the given values we get:

\frac{15!}{6!4!5!} = 630630

This means 630,630 different arrangements are possible for the given laptops.

4 0
3 years ago
What is the result of adding these two equations? \begin{aligned} 2x+3y &= -5 \\\\ 5x-y &= -12 \end{aligned} 2x+3y 5x−y
EleoNora [17]

Answer:

7x+2y = -17

Step-by-step explanation:

We have the following equations:

2x+3y = -5

5x-y = -12

If we want to add these equations, we just need to add x-terms, y-terms and independent terms.

(2x+5x)+(3y-y) = -5-12

7x+2y = -17

I hope it helps you!

7 0
2 years ago
Need help with d-h pls
dangina [55]
You might want to change your subject to Science because that’s not math
6 0
3 years ago
Read 2 more answers
P(S) = 3/5<br> P(T) = 1/3<br> If S and T are mutually exclusive events, find P(S or T).
Strike441 [17]

Answer:

14/15

Step-by-step explanation:

P(S or T) = P(S) + P(T) = 3/5 + 1/3

= 9/15 + 5/15 = 14/15

7 0
1 year ago
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