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Gnoma [55]
3 years ago
15

A rectangle has length 2x+3 and width 7x+9. Write a polynomial in standard form that represents the perimeter of the rectangle.

You MUST combine like terms.
Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

18x+21

Step-by-step explanation:

First multiply each equation by 2 since there is 2 sides for both the length and width.

2(2x+3)   2(7x+9)

4x+3         14x+18    

Then combine like terms

4x+14x       3+18

18x              21

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Alma was shopping for a T-shirt. It was 15% off everything in the store. The regular price of the shirt was $16.00 it was on sal
sergiy2304 [10]

Answer:B.) No-40 cents too high


Step-by-step explanation:

To find the answer you need to fin the discount. So basically I did 16x15 and got 240. Than I divided that by 100. I got 2.40.Than I subtract 2.40 from 16 and got $13.60. Therefore it would be B

8 0
3 years ago
Z wants to buy five shirts worth 34 dollars each and three baseball caps worth 31
ella [17]

Answer:

$199.50

Step-by-step explanation:

10% discount of $34 = 10/100*34 = $3.40

so, a single shirt costs $34-$3.40 = $30.60

half off = 50% discount of $31 = 50/100*31 = $15.50

so, a single cap costs $31-$15.50 = $15.50

so, 5 shirts and 3 caps cost now

5*$30.60 + 3*$15.50 = $153 + $46.50 = $199.50

but careful - can this be a trick question ?

the phrasing of the problem description can also suggest that the discounts are only listed to confuse us and are already included in the mentioned prices ("worth" $34 - what does that mean ? because including the discounts they are currently "worth" their prices).

then it would just plainly be

5*$34 + 3*$31 = $170 + $93 = $263

4 0
3 years ago
Abner wants to create a shopping budget where he spends less than $80 per month on clothes. He also wants to spend at least thre
strojnjashka [21]

Answer:

D) Abner can spend $60 per month on school clothes and $20 per month on gym clothes and stay within his budget.

Step-by-step explanation:

In the problem it states that Abner will spend 3 times more on (s)school clothes than (g) gym clothes.

So it would appear as s ≥ 3g.

If we plug in $60 as s (school clothes) and $20 as g (gym clothes), the statement is true.

60 ≥ 3(20)

60 ≥ 60. These numbers make the linear system true.

If you have trouble with this, an easy way to find this answer is simply creating the linear system that represents the problem, (he will buy 3 times more school clothes than gym clothes) s ≥  3g and plug in each variable from the answer choices until you find the variables that make the linear system true.


6 0
3 years ago
Read 2 more answers
Nolan has a bond with a 6.1% yield, a bid price of $475, and a face value of $500. What is the original coupon rate of this Bond
Vladimir79 [104]

Answer:

5.8%

Step-by-step explanation:

Current yield = 6.1%

Face value of bond = $500

Market price of bond = $475

Let the original coupon rate be CR

Current\hspace{2}yield = \frac{Coupon\hspace{2}rate* Bond\hspace{2}face\hspace{2}value}{Market\hspace{2}price}*100

6.1 = \frac{CR*500}{475}*100

Multiply both sides by 475

6.1 *475 = \frac{CR*500}{475}*100*475

Cancel out the 475's from the top and bottom of the right side

6.1 *475 = CR*500*100

2897.5 = CR*50000

Flip the sides

CR*50000 = 2897.5

Divide both sides by 5000

\frac{CR*50000}{50000} = \frac{2897.5}{50000}

Cancel out 50000 from the top and bottom of the left side

CR = 0.0579%

CR = 0.0579 * 100      [convert decimal into a percentage]

CR = 5.79 %

CR = 5.8% [rounded off to the tenth place]

6 0
3 years ago
Read 2 more answers
FUNCTIONS QUESTION-----IF YOU ARE A GOOD PERSON PLZ SOLVE THIS FOR ME PLZ I WILL FOREVER BE GRATEFUL♥' GRAPH INCLUDED
stira [4]

Answer:

(a) Domain: x > 4

(b) Range: y < -2

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted by function f(x).

We see that our x-values span from 4 to infinity. Since it is an open dot, we cannot include it in our domain:

(-4, ∞)

We also see that our y-values span from -2 to negative infinity. Since it is an open dot, we cannot include it in our range:

(-∞, -2)

5 0
3 years ago
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