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2 years ago

90 over 7 EndFraction divided by 1 and three-fourths

Mathematics

1 answer:

saul85 [17]2 years ago

7 0

Answer:

7 $\frac{17}{49}$

Step-by-step explanation:

$\frac{90}{7}$ ÷1 $\frac{3}{4}$

= $\frac{90}{7}$ × $\frac{7}{3}$ ( keep change flip )

= $\frac{360}{49}$

=7 $\frac{17}{49}$

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Is the point (0, 8) on the x-axis or y-axis? How do you know?

Shtirlitz [24]

Answer:

it is on the y-axis because the eight is in the 2nd part of the ordered pair (0,8).

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3 years ago

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At the ice cream shop, there are 14 shakes sold for every 6 malts. What is the ratio of malts to shakes?

lawyer [7]

6:14 simplified is 3:7. Hope it helps!

4 0

3 years ago

The length of a rectangle envelope is 2 1/2 times its width. A plastic band surrounds the front and back of the envelope to secu

Andreas93 [3]

Answer:

Length of the envelope = 14

Width of the envelope = 5.6

Step-by-step explanation:

Let the width of the rectangle be x

Then the length of the rectangle will be $2\frac{1}{2} \times x$

Also the length of the plastic band to cover the front and back of the envolpe = $39\frac{3}{8}$

To cover one side th band required is

=> $\frac{39\frac{3}{8}}{2}$

=> $\frac{\frac{315}{8}}{2}$

=> ${\frac{315}{16}$

=>39.4

We know that the perimeter of the rectangle is

=> 2( L + B) = ${\frac{39.4}{2}$

=> 2( $2\frac{1}{2} \times x + x$ ) = 19.7

=> 2( $\frac{7}{2}x) = 19.7$

=> $3.5x = 19.7$

=> $x = \frac{19.7}{3.5}$

=> $x = 5.6$

Now length of the envelope =

=> $2\frac{1}{2} \times x$

=> $2.5 \times 5.6$

=> 14

5 0

3 years ago

A frog sits at one end of a table which is 2m long. In its first jump the frog goes a distance of 1m along the table, with its s

Phantasy [73]

Ah, this is an infinite sum question, or a sum of geometric sequence
when will the sum reach 1cm of the edge or about 1.99m
so

2m=200cm
within 1cm means at least 1.99m
so
we will use m and not cm for consitancy

sum of geometric sequence is
$S_n= \frac{a_1(1-r^n)}{1-r}$
a1=first term=initial jjump=1
r=common ratio=1/2
n=?, we ar solving for that

so
we want it to equal 1.99 so

$1.99= \frac{1(1- (\frac{1}{2})^n)}{1-\frac{1}{2}}$
$1.99= \frac{(1- (\frac{1}{2})^n)}{\frac{1}{2}}$
$1.99= 2(1- (\frac{1}{2})^n)$
divide both sides by 2
$\frac{1.99}{2} = 1- (\frac{1}{2})^n$
times -1
$\frac{-1.99}{2} = (\frac{1}{2})^n-1$
add 1 or 2/2 to both sides
$\frac{0.01}{2} = (\frac{1}{2})^n$
take the ln of both sides
$ln(\frac{0.01}{2}) = ln((\frac{1}{2})^n)$
$ln(\frac{0.01}{2}) = n ln(\frac{1}{2})$
divide both sides by ln(1/2)
$\frac{ln(\frac{0.01}{2})}{ln(\frac{1}{2})} =n$
use your calculatro to find that n≈7.64386
so on 7th jump, it is not yet at 1cm to the edge but at 8th jump, it is past
so 8th jump

7 0

3 years ago

Write the following quotient in the form a+bi. -7i/2-7i

Helga [31]

Answer:

$\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}$

Step-by-step explanation:

$\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i$

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3 years ago

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