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2 years ago

(02.07)

Mathematics

1 answer:

Evgen [1.6K]2 years ago

4 0

<h3>Answer: Choice B) 180 - x = r</h3>

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Explanation:

Angles r and x form a straight line, or straight angle, that is 180 degrees.

We then can say

r+x = 180

r+x-x = 180-x .... subtract x from both sides

r = 180-x

180-x = r

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What is the absolute davatation round to the nearest tenth for 6.3, 6.4, 6.5, 6.6, 6.8. 6.8, 7.5?

WITCHER [35]

Let's find the mean of all the values first.
6.3+6.4+6.5+6.6+6.8+6.8+7.5= 46.9
Let's divide by the number of values.
46.9÷7=
6.7
Now let's find the distance that each number is away from 6.7 and find the mean of those numbers.
0.4+0.3+0.2+0.1+0.1+0.1+0.8=
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So, the absolute deviation is 0.3.

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3 years ago

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The population of a town has approximately doubled every 17 years since 1950. If the equation P=Po2k, where Po is the population

natka813 [3]

The population of a town has approximately doubled every 17 years since 1950.

the equation P= $P_02^k$ where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.

When t=17 yrs

P=2 $p_{0}$

for 1 year

The equation becomes

P = $P_02^\frac{t}{17}$ -------------(1)

Our original equation is

$P=P_02^k$ ----------------------------------(2)

equating expression 1 and 2

$P_02^\frac{t}{17}=P_{0}2^k$

Cancelling $P_{0}$ from both sides we get

$2^\frac{t}{17}=2^{k}$

t/17=k

⇒k=t/17 is the solution.

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3 years ago

Can someone please help me

xenn [34]

Answer:

install socratic that give u all math questions

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3 years ago

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Your friend has improved in his math class. On his first test he scored 50 points, and then he scored 53, 56, 59, and 62 points

emmainna [20.7K]

Answer:

Step-by-step explanation: I think you skip count by 50s or something like that. So, it has to be 64.

3 0

3 years ago

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00

10x + 15y = 333

and we have the linear system

which can be written in matrix form as

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)$

The solution would be given by

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)$

We have

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)$

hence

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)$

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0

3 years ago