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dedylja [7]
2 years ago
8

2. A sum of $400 was shared between Samantha and Jade. Samantha received S100 more than Jade. a) If Jade received $150, how much

money did Samantha receive? (1 mark) Samanth received $ b) Determine the ratio used to share the money between Samantha and Jade. (2 marks) The ratio in its lowest terms =​
Mathematics
1 answer:
Marina CMI [18]2 years ago
5 0

Answer:

Samantha share =$250

ratio = 5:3

Step-by-step explanation:

Samantha

= jade + 100

jade

150

samantha

150 + 100 = 250

ratio

250:150

5:3

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2 1/3 + 3/7 divided by 2 1/3 x 1 3/7​
oee [108]

Answer: \frac{29}{35}

Step-by-step explanation:

1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with

2\frac{7}{21}+\frac{9}{21} / 2\frac{7}{21} * 1\frac{9}{21}

2. Now, I would go and solve each side of the equation because we divide them, we can add 2\frac{7}{21} and \frac{9}{21}  together to get  2\frac{16}{21}, because 7 + 9 = 16

2\frac{16}{21} / 2\frac{7}{21} * 1\frac{9}{21}

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2\frac{7}{21} becomes \frac{49}{21} and 1\frac{9}{21} becomes \frac{30}{21}

\frac{49}{21} *  \frac{30}{21}

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us  \frac{7}{3} and the second one by 3, which gives us  \frac{10}{7}

\frac{7}{3} * \frac{10}{7} now we cross divide, where we replace the 7's with ones because they're right across from each other to get  \frac{1}{3} and  \frac{10}{1}, or just 10.

\frac{1}{3} * 10 =  \frac{10}{3}

4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

\frac{58}{21} / \frac{10}{3}

Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.

so   \frac{58}{21} * \frac{3}{10} which if we multiply both sides, you get \frac{174}{210}

I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get

\frac{29}{35}

4 0
3 years ago
What is 84 as a product of primes?
fomenos
Answer: 3&7 are primes!
7 0
3 years ago
Read 2 more answers
A number line is numbered in tenths describe where you would plot 87.35 squared
Aloiza [94]
87.35 squared would be 7,630.02.(87.35)^2 = 7,630.02Rounded off further, it will be 7,630.On a number line numbered in tenths, 7,630.02 could be plotted on 7,630, as rounding off the number to the nearest integer, the answer will be 7,630.
7 0
3 years ago
Plz save me I need help as sonic
Rzqust [24]

Answer:

1.Yes

2.Yes

3.No

4.No

5.Yes

Step-by-step explanation:

Just plug in the values of x and y for each set of coordinates.

Example from the first one

4x=y

4(5)=20

20=20 True

make sure all are valid by plugging in the next set of coordinates

4(6)=24

24=24 True

4(7)=28

28=28 True

and so forth with each equation plug in the coordinates

3 0
3 years ago
Read 2 more answers
Or the past 100 years, the average high temperature on october 1 is 78° with a standard deviation of 5°. what is the probability
valina [46]

Answer:

The probability is 0.683

Step-by-step explanation:

To calculate this, we shall be needing to calculate the z-scores of both temperatures

mathematically;

z-score = (x-mean)/SD

From the question mean = 78 and SD = 5

For 73

z-score = (73-78)/5 = -5/5 = -1

For 83

z-score = (83-78)/5 = 5/5 = 1

So the probability we want to calculate is within the following range of z-scores;

P(-1 <z <1 )

Mathematically, this is same as ;

P(z<1) - P(z<-1)

Using the normal distribution table;

P(-1<z<1) = 0.68269 which is approximately 0.683

3 0
4 years ago
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