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Reil [10]
2 years ago
11

A rectangular picture is twice as long as it is wide. If the

Mathematics
1 answer:
yulyashka [42]2 years ago
8 0

Answer:

24 in long by 12 in wide.

Step-by-step explanation:

l=2w

288=(2w)×w

288=2w^2

144=w^2

12=w

width is 12 inches. Plug that in to find length...

l=2×12

l=24

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Tems11 [23]
Checking if the sequence is an arithmetic sequence 7 - 1 = 6 13 – 7 = 6 Therefore the sequence is arithmetic, with a_0 = 1 and d = 6 a_n = a_0 + (n-1)d a_30 = 1 + (29)(6) = 175 Therefore the 30th term is 175.
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3 years ago
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1) 90%<br> round to the thousands place
Daniel [21]

Answer:

0.90

Step-by-step explanation:

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3 years ago
Lisa Purchased almonds for $3.50 per pound. She spent a total of $24.50. how many pounds of almond did she purchase?
Margaret [11]

Answer:

7 pounds of almond

Step-by-step explanation:

It is $3.50 per pound.

If she spent a total of $24.50, just divide 24.50 by 3.50

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We can verify this by multiplying 3.50 by 7 which gives us 24.50

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2 years ago
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Suppose you need to get the dent in your car fixed. You see the ads in the newspaper above (mikes repair shop $100 service charg
Norma-Jean [14]

Answer:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295, so I will take the car to Amy's shop</em>

<em>Point of intersection: (x,y) = (4,360)</em>

Explanation:

Part 1 )

Let x = number of hours worked

Let y = total cost to you

Determining where to take the car:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295</em>

Mike's repair shop:

Service fee: $100

Per hour rate: $65

Let x is the number of hours worked on. Total cost will be equal to the service fee plus hourly charges. Charges per an hour are $65, so for x hours the charges will be 65x.

Therefore, total cost for Amy's repair shop can be written as:

y = 100 + 65x ------(1)

For 3 hours work: y = 100 + 65(3)

<em>Cost at Mike's, y = $100 + $195 = $295</em>


<em>Amy's repair shop: </em>

Service fee: $40

Per hour rate: $80

Charges per an hour are $40, so for x hours the charges will be 80x.

Therefore, total cost for Amy's repair shop can be written as:

y = 40 + 80x ------(2)

For 3 hours work: x = 3

y = 40 + 80(3)

<em>Cost at Amy's, y  = $40 + $240 = $280</em>


<em>Part 2)</em>

<em>Find the point of intersection</em>

<em>Using elimination method:</em>

<em>y = 100 + 65 x    ------1</em>

<em>y = 40 + 80x      ------2</em>

<em>As the y coefficients are equal we will subtract eq1 from eq2</em>

<em>y - y = 40 + 80x - 100 - 65x</em>

<em>0 = -60 + 15x</em>

60 = 15x

x = \frac{60}{4}

x = 4

put x = 4 in eq 1

we get y = 100 + 65 (4) = 100 + 260 = 360

x = 4, y = 360

Point of intersection: (x,y) = (4,360)



8 0
3 years ago
Can anybody help me with explaining polynomials and multiplying them with exponents to please don’t give me a random answer just
zloy xaker [14]

Answer:

First, you need to know how to multiply two monomials together. A monomial is a one term polynomial.

2x × 5x, 2x²y × 3xy², and ab² × 4b³ are examples of products of monomials.

To multiply monomials together, multiply the number parts together and multiply the variables together.

Here are the 3 examples above solved:

2x × 5x = 10x²

2x²y × 3xy² = 6x³y³

ab² × 4b³ = 4ab^5

To multiply two polynomials together, multiply every term of the first polynomial by every term of the second polynomial. then combine like terms.

Example:

(2x² + 3x - 8)(4x³ - 5x²) =

= 2x² × 4x³ + 2x² × (-5x²) + 3x × 4x³ + 3x × (-5x²) - 8 × 4x³ - 8 × (-5x²)

= 8x^5 - 10x^4 + 12x^4 - 15x³ - 32x³ + 40x²

= 8x^5 + 2x^4 - 47x³ + 40x²

This is a lot of material in very little space. You need to start with simple examples of multiplication of 2 monomials. Then practice multiplying a monomial by a binomial. Then practice with polynomials of more terms.

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1 year ago
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