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3 years ago

67.943 in expanded form

Mathematics

2 answers:

mario62 [17]3 years ago

8 0

60 + 7 + 0.9 + 0.04 + 0.003

Komok [63]3 years ago

7 0

60+7+0.9+0.04+0.003

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Cory made 4,500 g of candy. He saved 1 kg to eat later. He divided the rest of the candy over 7 bowls to

Olenka [21]

Answer: 500 g of candy in each bowl

Step-by-step explanation:

1,000 g = 1Kg

4,500 g - 1,000 g = 3,500 g of candy were divided over 7 bowls:

Each bowl contains = 3,500 g➗7 bowls = 500 g candy/bowl

Answer: 500 g of candy in each bowl

<h2><em>Spymore</em></h2>

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2 years ago

What is 11 Over 12+4 Over 9?

erastova [34]

11/16/9= is 11÷16÷9 which is approximately 0.076

3 0

3 years ago

The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep

Alchen [17]

Ooh, fun

geometric sequences can be represented as
$a_n=a(r)^{n-1}$
so the first 3 terms are
$a_1=a$
$a_2=a(r)$
$a_2=a(r)^2$

the sum is -7/10
$\frac{-7}{10}=a+ar+ar^2$
and their product is -1/125
$\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3$

from the 2nd equation we can take the cube root of both sides to get
$\frac{-1}{5}=ar$
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
$\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r$
subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
which simplifies to
$\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}$
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for $ax^2+bx+c=0$
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
so
for 2r²-5r+2=0
a=2
b=-5
c=2

$r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}$
$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
$r=\frac{5+3}{4}=\frac{8}{4}=2$ or $r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}$

use them to solve for the value of a
$\frac{-1}{5}=ar$
$\frac{-1}{5r}=a$
try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

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3 years ago

What is 0.167 times 180

Agata [3.3K]

Answer:

30.06

Step-by-step explanation:

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2 years ago

Read 2 more answers

Simplify 8 3/4 plus 9 2/8

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

8 3/4 + 9 2/8

We can simplify 2/8 by dividing the top and bottom by 2

8 3/4 + 9 1/4

Add the whole numbers

8+9 = 17

3/4 + 1/4 = 4/4 = 1

Add this to the whole numbers

17+1 = 18

8 0

3 years ago