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3 years ago

10

Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local groc

ery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?

1 answer:

monitta3 years ago

3 0

Sea star tuna is a better bargain for 82 cents a can. Oceans best tuna is 94 cents a can.

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Which equation represents the line that passes through (5,8) and (9,2)

Dahasolnce [82]

ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!

6 0

3 years ago

Help with functions homework

Volgvan

Answer:

√x+3 -8

Step-by-step explanation:

To find the inverse function you need to work out what the<u><em> STORY OF X </em></u>is

first +8

then squared

then -3

<u><em>so to work out the inverse you do the opposite</em></u>

so x+3

then square root

then -8

so we get

√x+3 -8

8 0

3 years ago

URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!

bija089 [108]

Answer:

14 hours

Step-by-step explanation:

So we know that it take him 1 hour to paint half of a painting and he has 7 to do all you have to do is multiply 7 times 2 because it takes 2 hours to do 1 painting.

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3 years ago

Read 2 more answers

Gabrielle's age is three times Mikhail's age. The sum of their ages is 84. What is Mikhail's age?

Whitepunk [10]

Answer: 21

Step-by-step explanation:

84 divided by 4 = 21 since grabielle is 21, and then mikhail is gonna be 3 times more so it’s gonna be 63

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3 years ago

Read 2 more answers

50 points!!!<br>Someone help pls, I can’t understand it and it’s due tomorrow :c

liraira [26]

${\large{\textsf{\textbf{\underline{\underline{Question \: 1 :}}}}}}$

$\star\:{\underline{\underline{\sf{\purple{Solution:}}}}}$

❍ Arrange the given data in order either in ascending order or descending order.

2, 3, 4, 7, 9, 11

❍ Number of terms in data [n] = 6 which is even.

<u>As</u><u> </u><u>we</u><u> </u><u>know</u><u>,</u>

$\star \: \sf Median_{(when \: n \: is \: even)} = {\underline{\boxed{\sf{\purple{ \dfrac{ { \bigg (\dfrac{n}{2} \bigg)}^{th}term +{ \bigg( \dfrac{n}{2} + 1 \bigg)}^{th} term } {2} }}}}}$

$\\$

$\sf Median_{(when \: n \: is \: even)} ={ \dfrac{ { \bigg (\dfrac{6}{2} \bigg)}^{th}term +{ \bigg( \dfrac{6}{2} + 1 \bigg)}^{th} term } {2} }$

$\\$

$\sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ \bigg( \dfrac{6 + 2}{2} \bigg)}^{th} term } {2} }$

$\\$

$\sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ \bigg( \cancel{ \dfrac{8}{2}} \bigg)}^{th} term } {2} }$

$\\$

$\sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ 4}^{th} term } {2} }$

• <u>Putting,</u>

3rd term as 4 and the 4th term as 7.

$\longrightarrow \: \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ 4 + 7 } {2} }$

$\longrightarrow \: \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ 11} {2} }$

$\longrightarrow \: \sf Median_{(when \: n \: is \: even)} = \purple{5.5}$

$\\$

${\large{\textsf{\textbf{\underline{\underline{Question \: 2 :}}}}}}$

$\star\:{\underline{\underline{\sf{\red{Solution:}}}}}$

❍ Arrange the given data in order either in ascending order or descending order.

1, 2, 3, 4, 5, 6, 7

❍ Number of terms in data [n] = 7 which is odd.

<u>As</u><u> </u><u>we</u><u> </u><u>know</u><u>,</u>

$\star \: \sf Median_{(when \: n \: is \: odd)} = {\underline{\boxed{\sf{\red{ { \bigg( \frac{n + 1}{2} \bigg)}^{th} term}}}}}$

$\\$

$\sf Median_{(when \: n \: is \: odd)} = {{ \bigg(\dfrac{ 7 + 1 } {2} \bigg) }}^{th} term$

$\\$

$\sf Median_{(when \: n \: is \: odd)} = { \bigg(\cancel{\dfrac{8}{2}} \bigg)}^{th} term$

$\\$

$\sf Median_{(when \: n \: is \: odd)} ={ 4}^{th} term$

<u>• Putting,</u>

4th term as 4.

$\longrightarrow \: \sf Median_{(when \: n \: is \: odd)} = \red{ 4}$

$\\$

${\large{\textsf{\textbf{\underline{\underline{Question \: 3 :}}}}}}$

$\star\:{\underline{\underline{\sf{\green{Solution:}}}}}$

<u>The frequency distribution table for calculations of mean :</u>

$\begin{gathered}\begin{array}{|c|c|c|c|c|c|c|} \hline \rm x_{i} &\rm 3&\rm 1&\rm 7&\rm 4&\rm 6&\rm 2 \rm \\ \hline\rm f_{i} &\rm 4&\rm 6&\rm 2&\rm 2 & \rm 1&\rm 1 \\ \hline \rm f_{i}x_{i} &\rm 12&\rm 6&\rm 14&\rm 8&\rm 6&\rm \rm 2 \\ \hline \end{array} \\ \end{gathered}$

☆ <u>C</u><u>alculating the </u> $\sum f_{i}$

$\implies 4 + 6 + 2 + 2 + 1 + 1$

$\implies 16$

☆ <u>C</u><u>alculating the </u> $\sum f_{i}x_{i}$

$\implies 12 + 6 + 14 + 8 + 6 + 2$

$\implies 48$

<u>As we know,</u>

Mean by direct method :

$\: \: \boxed{\green{{ { \overline{x} \: = \sf \dfrac{ \sum \: f_{i}x_{i}}{ \sum \: f_{i}}}}}}$

here,

• $\sum f_{i}$ = 16

• $\sum f_{i}x_{i}$ = 48

<u>By putting </u><u>the</u><u> values we get,</u>

$\sf \longrightarrow \overline{x} \: = \: \dfrac{48}{16}$

$\sf \longrightarrow \overline{x} \: = \green{3}$

${\large{\textsf{\textbf{\underline{\underline{Note\: :}}}}}}$

• Swipe to see the full answer.

$\begin{gathered} {\underline{\rule{290pt}{3pt}}} \end{gathered}$

4 0

2 years ago