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3 years ago

-11 2/3 * (-4 1/5)=

Mathematics

2 answers:

WARRIOR [948]3 years ago

5 0

Answer:

Step-by-step explanation:

<u>Simplify:</u>

-11 2/3 * (-4 1/5)=
11 2/3 * 4 1/5 =
35/3 * 21/5 =
35/5*21/3 =
7*7 =
49

Solnce55 [7]3 years ago

3 0

$\large\blue{\tt Given :-}$

$\to\tt - 11\frac{2}{3} (-4\frac{1}{5})$

$\large\orange{\tt To \: Find :-}$

$\to\tt Simplify \: the \: sum$

$\large\green{\tt Solution :-}$

$\tt -11\frac{2}{3} (-4\frac{1}{5})$

$=\tt 11\frac{2}{3} \times 4\frac{1}{5}$

$=\tt\frac{35}{3} \times \frac{21}{5}$

$= \tt\frac{\cancel{35}}{\cancel5} \times \frac{\cancel{21}}{\cancel3}$

$= \tt 7 \times 7$

$= \underline{\boxed{\blue{\tt 49}}}$

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Answer:

Movies: x gig

pictures: x/2 gig

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3 years ago

The first two terms in an arithmetic progression are 57 and 46. The last term is -207. Find the sum of all the terms in this pro

statuscvo [17]

Answer:

-1875

Step-by-step explanation:

An arithmetic sequence has a common difference as a sequence. Here the common differnece is -11.

So our sequence so far looks like,

(57,46,35,24....). We know the last term of the sequence is -207 and we need to find the nth term of that series so we use arithmetic sequence

$a _{1} + (n - 1)d$

where a1 is the inital value,

d is the common differnece and n is the nth term.

We need to find the nth term so

$57 + (n - 1)( - 11) = - 207$

$(n - 1)( - 11) = - 264$

$n - 1 = 24$

$n = 25$

So the 25th term of a arithmetic sequence is last term, now we can use the sum of arithmetic sequence

which is

$\frac{a _{1} + a _{n} }{2} n$

$\frac{57 + ( - 207)}{2} (25) =$

$\frac{ - 150}{2} (25)$

$- 75(25) = - 1875$

6 0

2 years ago

Read 2 more answers

Solve for x, round to the nearest tenth. find x x =

Luden [163]

Sin = opposite / hypotenuse

sin x° = 4/6

x° = sin^-1 (4/6)

x = 41.81° (nearest tenth)

Hope this helps!

3 0

3 years ago

A tank contains 90 kg of salt and 1000 L of water. A solution of a concentration 0.045 kg of salt per liter enters a tank at the

Andreyy89

Answer:

Step-by-step explanation:

concentration = amount of salt/solution

A) Initial concentration= 90/1000 = 0.09

Q = quantity of salt

Q(0) = 90 kg

Inflow rate = 8 l/min

Outflow rate = 8 l/min

Solution = 1000 L at any time t.

Salt inflow = 0.045 * 8 per minute

= 0.36 kg per minute

This is mixed and drains from the tank.

Outflow = $\frac{Q(t)}{1000}$

Thus rate of change of salt

Q'(t) = inflow - outflow = $0.36-\frac{Q(t)}{1000} \\=\frac{360-Q(t)}{1000}$

Separate the variables and integrate

$\frac{1000dQ}{360-q(t)} =dt\\-1000 ln |360-Q(t)| = t+C\\ln |360-Q(t)| = -0.001+C'\\360-Q(t) = Ae^{-0.001t} \\Q(t) = 360-Ae^{-0.001t}$

Use the fact that Q(0) = 90

90 = 360-A

A = 270

$Q(t) = 360-270e^{-0.001t}$

B) Q(t) = 360-270e^-0.004 = 91.07784

C) When t approaches infinity, we get

Q(t) tends to 360

So concentration =360/1000 = 0.36

8 0

3 years ago

The following table shows the cost for 4 fruits. For example, apples cost $6 for 5 pounds. -------------------------------------

Mashcka [7]

Answer:

C. Peaches

Step-by-step explanation:

To find the cost of each fruit per pound, divide the cost of the fruit by how many pounds of it there are.

Apples: $6 ÷ 6 = $1

Bananas: $4 ÷ 5 = $0.80

Peaches: $5 ÷ 4 = $1.25

Kiwis: $9 ÷ 6 = $1.50

The type of fruit that has a cost of $1.25 per pound is peaches.

Hope that helps.

3 0

3 years ago