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3 years ago

12) A bag contains four red marbles and eight

Mathematics

1 answer:

DiKsa [7]3 years ago

5 0

Answer: 8/12% 6/11%

Step-by-step explanation: so 4 red marbles and 8 blue marbles so in total that's 12 marbles so if you have 8 blue marbles you have a 3/4 chance of getting blue but only 1/4 chance of red

So 5 green marbles and 6 yellow marbles so in total that's 11 marbles so if you have 6 yellow marbles you have a 3/4 chance of getting yellow but only 1/4 chance of green

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a store has a sale where all shirts are sold at a discount of 20% if the regular price of the shirts is $20, how may shirts coul

Elena-2011 [213]

Answer:

15 shirts.

Step-by-step explanation:

A 20% discount means you still pay 80% of the price.

x represents the number of shirts that can be bought.

(20 x (1-0.2) )x = 240 or (20 x .8)x = 240

16 x = 240

x = 240/16 = 15

7 0

3 years ago

Thulani goes to the library every 7 days. He goes to the market every 4 days

emmasim [6.3K]

Thulani goes to both the library and the market for 5 more times during the year.

Step-by-step explanation:

Thulani goes to the library every 7 days. He goes to the market every 4 days.

We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.

The factors of 7 are: 1 x 7

The factors of 4 are: 2 x 2

Therefore, the LCM would be = 1 x 7 x 2 x 2

LCM = 28

LCM indicates that Thulani will go to both places on every 28th day.

To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'

$n = \frac{Number of days}{frequency}$

Here frequency represents the LCM = 28.

The number of days are:

August: 30 (we are excluding 1st August)

September: 30

October: 31

November: 30

December: 31

Total = 152

By putting the values in formula, we get

$n = \frac{152}{28}$

n = 5.42

As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.

Learn more:

The following links have more information

brainly.com/question/12419898

brainly.com/question/12764620

Keywords: LCM, same day

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7 0

3 years ago

In a cookie mix, we find ginger cookie, molasses cookies, and pinwheel cookie in a ratio of 1:2:7. If a bag of the mix contains

liraira [26]

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

5 0

3 years ago

Write an equation of the line that passes through (2,5) and is parallel to the line 2y = 3x + 10.

Advocard [28]

Answer:

y = 3/2x - 8 hope I helped

Step-by-step explanation:

To find the equation of a line, we need a point and a slope. We're given a point, and we can easily get the slope. First let's solve 2y = 3x + 10 for y so we can get the slope (recall that y = mx + b is the slope-intercept form, and m is your slope).

2y = 3x + 10 --> almost there already, just divide everything by 2 to get y by itself.

y = 3/2x + 5 --> now you have it in the y=mx + b form, so your slope is 3/2

They asked for the parallel line, remember parallel lines have the same slope, therefore you use the same slope.

Now we know that our slope is m = 3/2 and our point is (2, -5)

You can always find the equation of a line using the Point-Slope Formula:

y - y1 = m(x - x1) --> our x1 is 2 and our y1 is -5, and slope is 3/2

y - (-5) = 3/2(x - 2) --> Be careful when you have minus a negative number, like we do here. It becomes:

y + 5 = 3/2(x - 2) --> now distribute the 3/2

y + 5 = 3/2x - 6/2

y + 5 = 3/2x - 3 --> now we can subtract 5 from both sides to get it into slope intercept form.

y = 3/2x - 8 --> This is the equation of a line that is parallel to 2y=3x+10 & passes through (2, -5)

7 0

2 years ago

Review the graph of function f(x).

s344n2d4d5 [400]

The two limits when x tends to zero are:

$\lim_{x \to \ 0^-} f(x) = 1\\\\ \lim_{x \to \ 0^+} f(x) = 0$

<h3 /><h3>How to get the limits when x tends to zero?</h3>

Notice that we have a jump at x = 0.

Then we can take two limits, one going from the negative side (where we will go along the blue line)

And other from the positive side (where we go along the orange line).

We will get:

$\lim_{x \to \ 0^-} f(x) = 1\\\\ \lim_{x \to \ 0^+} f(x) = 0$

Notice that the two limits are different, that means that the function is not a continuous function.

If you want to learn more about limits:

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#SPJ1

6 0

2 years ago