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PolarNik [594]
3 years ago
7

The width of a rectangle is 3 units less than the length. The area of the rectangle is 54 units. What is the length, in units, o

f the rectangle?
Mathematics
1 answer:
suter [353]3 years ago
4 0
Length=9
Below algebraically

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Sydney bought a 4-pound bag of brown rice at the grocery store. The nutritional information showed that the bag
FromTheMoon [43]

Answer:

1.72973 oz/serving.  Perhaps round to 1.73 oz, although there is only 1 sig fig in "4-pound bag."  But the problem states "exactly."

Step-by-step explanation:

We want oz/serving, so let's convert the pounds of rice to total ounces of rice:

We are told that 16 oz = 1 pound.  Make that a conversion factor:  (16 oz/1 pound)

(4 pounds)*((16 oz/1 pound) = 64 ounces

We are told that 4 pounds (64 ounces) makes 37 servings.  So:

(64 ounces)/(37 servings) = 1.72973 oz/serving

5 0
2 years ago
If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2
Oksanka [162]

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width

Solution:

Let the length of rectangle=x

Width of rectangle=x/10

Perimeter is 2(Length+Width)

= 2(x+x/10)

Area of Rectangle= Length* Width=x*x/10

As, Perimeter=2(Area)

So,2(x+x/10)=2(x*x/10)

Multiplying the equation with 10, we get,

2(10x+x)=2x²

Adding Like terms, 10x+x=11x

2(11x)=2x^2

22x=2x²

2x²-22x=0

2x(x-11)=0

By Zero Product property, either x=0

or, x-11=0

or, x=11

So, Width=x/10=11/10=1.1

Checking:

So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2

Area=Length*Width=11*1.1=12.1

Hence, Perimeter= 2 Area

As,24.2=2*12.1=24.2

So, Perimeter=2 Area

So, Answer:Length of Rectangle=11 units

Width of Rectangle=1.1 units

7 0
3 years ago
Read 2 more answers
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and
defon

The expression that can be used to approximate the expression below islog_a x = \frac{log_{b}a}{log_{b}x}

  • Given the logarithmic function expressed as log_a x, we need the log expression that is equivalent to the given expression.

  • To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;

log_a x = \frac{log_{10}a}{log_{10}x}

This is similar to the option c where the base of "b" was used as log_a x = \frac{log_{b}a}{log_{b}x}

Learn more on law of logarithms here: brainly.com/question/11587706

3 0
2 years ago
What is the least common denominator of 4/5 and 1/10
antiseptic1488 [7]
The least common denominator for the question you have supplied me with is 10. The least common multiple of the denominators, 5 and 10, is 10, making the LCD 10.
4 0
4 years ago
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What integer values satisfy both inequalities?<br> -1 &lt; x ≤7<br> x &gt; 3
PIT_PIT [208]

Answer:

4,5,6,7

Step-by-step explanation:

-1 < x ≤7 ,  x > 3 means that 3 < x ≤ 7

6 0
3 years ago
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