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2 years ago

One eighth of a number is less than or equal to 3

Mathematics

1 answer:

N76 [4]2 years ago

3 0

$\huge\underline\color{skyblue}{Answer ☘}$

let the number be x.

according to Question...

$\frac{1}{8} x \leqslant 3 \\ x \leqslant 3 \times 8 \\ x \leqslant 24$

hope helpful~

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Dr. David Smith lived 1/13 of his life as a child. He spent 4/39 of his life preparing for an outstanding

stich3 [128]

Answer:

40 14/25 years

Step-by-step explanation:

Well, this certainly is fun.

First, to find the fraction of the doctor's life which 13 years represents, subtract the fractions from 1 (and in this case l stands for lifetime):

$13 = (1 - (\frac{1}{13} + \frac{4}{39} + \frac{1}{2}))(l)$

$13 = (\frac{25}{78})(l)$

So, multiply this equation by the reciprocal of 25/78 to isolate one of l:

$13(\frac{78}{25}) = l$

$l = 40\frac{14}{25}$ years

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2 years ago

Solve logarithmic equation: ln a=4 HELP

Olin [163]

What’s the question lol

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2 years ago

If Sarah bought 3 pounds of apples for $6.75 and Carlos got 2 pounds of apples for $4.52,who paid less per pound and got the bet

lesantik [10]

Answer:

Sarah

Step-by-step explanation:

6.75/3 is the total for one pound . This = 2,25 while calros' 4.52/2 = 2.26. sarah paid one cent less, getting a better deal than carlos

4 0

2 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

Slope:

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

Slope:

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

Write the following proportion: 8 is to 64 as 2 is to x.

Ksenya-84 [330]

x = 4

8 multiplied by itself is 64.
And so, 2 times itself is 4.

3 0

3 years ago

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