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swat32
3 years ago
15

The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The

area of the resulting rectangle is 90ft squared. Find the original area of the square.
Mathematics
1 answer:
Kamila [148]3 years ago
4 0

Answer:

the original area is 64ft squared or 169ft squared more perdurable 64  

Step-by-step explanation:

(x-2)(x+7)=90

x^2 +5x -14=90

x^2 +5x -14 -90=90-90

x^2 +5x -104=0

factor it out

(x−8)(x+13)=0

so 8 or -13

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James bought a cake that weighs 3 and 1 over 4 pounds. How many ounces does the cake weigh? Show your work. (5 points)
kolezko [41]

The weight of James cake in ounces is 52 ounces and the Pint of water dispensed in 20 seconds is 24 pints

<h3>Weight</h3>

  • Weight of cake = 3 1/4 pounds

1 pound = 16 ounces

Number of ounces the cake weigh = 3 1/4 pounds × 16 ounces

= 13/4 × 16

= (208) / 4

= 52 ounces

  • Water dispensed per second = 0.15 gallons
  • Number of seconds = 20 seconds

1 gallon = 4 quarts

0.15 gallon = 0.6 quarts

1 quart = 2 pints

0.6 quart = 1.2 pints

Pint of water dispensed in 20 seconds = 1.2 × 20

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8 0
2 years ago
3x² + 2x + 2 + 4x² + 5 Simplify​
Natalka [10]

Answer: 7x^2 + 2x + 7

Step-by-step explanation:

Combine likes terms that have alike variables and alike exponents.

(3x^2 + 4x^2) + (2x) + (2 + 5)

7x^2 + 2x + 7

6 0
3 years ago
Please solve this simultaneous equation, i'm not that good at it.<br><br> 2r-s=10<br> rs-s^2=12
o-na [289]

Answer:

s = 6, r = 8 or s = 4, r = 7

Step-by-step explanation:

2r - s = 10

2r = 10 + s

r = 5 + s/2 --(1)

rs - s^2 = 12 --(2)

sub (1) into (2):

(5 + s/2)s - s^2 = 12

5s + 0.5s^2 - s^2 = 12

-0.5s^2 + 5s - 12 = 0

s^2 - 10s + 24 = 0

(s - 6)(s - 4) = 0

therefore s = 6 or s = 4

when s = 6, r = 8 and when s = 4, r = 7

if you would like to discover more about simultaneous equations, you can have a look at my Instagram page (learntionary). I'll be posting mathematics related stuff there and some of my notes (simultaneous enq notes are already posted!)

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