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Vlada [557]
3 years ago
12

Lisa had 1750 stamps. Mark had 480 fewer stamps than Lisa. Lisa gave some stamps to Mark. Now Mark has three times as many stamp

s as Lisa. How many stamps did Mark have at first? How many stamps does Lisa have now?
Mathematics
2 answers:
FrozenT [24]3 years ago
7 0
L: 1750, M:1750-480=1270
Lisa gave some stamps to Mark so Lisa now has 1750-x and Mark has 1270+x. Mark also has 3 times as many as Lisa now: (1750-x)*3=1270+x
5250-3*x=1270+x
4*x=3980, x=3980/4, x=995
So Lisa gave 995 stamps to Mark.
At first Mark had 1270 stamps. Lisa now has 1750-995=755 stamps.
DanielleElmas [232]3 years ago
6 0
First, let's figure out what amount of stamps Mark originally had.

1750 - 480 = 1270

Mark originally had 1270 stamps.

Now, we have to figure out how many stamps Lisa has.

s = stamps

1270 + s = (1750 - s)3
1270 + s = 5250 - 3s
Add 3s to both sides.
1270 + 4s = 5250
Subtract 1270 from both sides.
4s = 3980
Divide both sides by 4.
s = 995

Now, subtract 995 from 1750.

1750 - 995 = 755

Lisa now has 755 stamps.
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Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left fo
zmey [24]

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

6 0
3 years ago
The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a
AlekseyPX

Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

Step-by-step explanation:

We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.

<u><em>Let X = time for this event for boys in secondary school</em></u>

SO, X ~ Normal(\mu=460,\sigma^{2} =40^{2})

The z-score probability distribution for normal distribution is given by;

                               Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 460 seconds

            \sigma = standard deviation = 40 seconds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

<u>Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;</u>

       P(X > x) = 0.10   {where x is the required time which boy need to beat}

       P( \frac{X-\mu}{\sigma} > \frac{x-460}{40} ) = 0.10

        P(Z > \frac{x-460}{40} ) = 0.10

<em>So, the critical value of x in the z table which represents the top 10% of the area is given as 1.2816, that is;</em>

<em>                   </em>      \frac{x-460}{40} =1.2816

                         {x-460}{} =1.2816\times 40

<em>                           </em>x = 460 + 51.264 = <u>511.264 seconds</u>

Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

8 0
3 years ago
Evaluate the expression (2x + y) - z when x= 3, y = 4, z =5​
Lapatulllka [165]

Answer:

5

Step-by-step explanation:

(2x + y) - z

Let x=3  y=4 and z=5

2*3 +4 -5

Multiply and divide first

6 +4 -5

Then add and subtract

10-5

5

5 0
3 years ago
Help plz!!!!!!!!!!!!!!!!!!!!
RUDIKE [14]
4 Triangles 1/2(6)6()= 18 18x4= 72
5 squares 3X3=9. 5x9= 45

72+45= 117 sq in
5 0
3 years ago
Can someone help me, I don’t get this
dmitriy555 [2]

I'll break it down for you. Here are the main points:

-has 2 large servings

-made from 9 pints

-x represents how many pints

-y represents how many servings

Now that we know this we can find what each serving comes out to be for example:

\frac{9}{2\\}=4.5 or 4\frac{1}{2}

So for each serving it will come out to be 4.5 pints.

Now that we know this we can figure out the slope to find what the equation which is for example the slope for this equation would be rise over run for example:

\frac{rise}{run}=\frac{1}{4.5}=\frac{2}{9}when simplified.

So our equation would be (also the answer) y=\frac{2}{9}x

Hope this helps my dude ^^ If you have more questions go ahead and ask.

5 0
3 years ago
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