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pshichka [43]
3 years ago
9

On a map drawn to scale, 2cm represents 870km. How long would a line segment be that represents 130 kilometres?

Mathematics
1 answer:
Archy [21]3 years ago
8 0
870/2 = 435
130/435 = 26/87 = 0.5977 cm
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Jonah need 28 seconds to fold 2 how long dose Jonah need to fold 5 shirts
statuscvo [17]

Answer:

70 shirts

Step-by-step explanation:

First off, there are 5 shirts. 2 shirts take 28 seconds. If you divide 28 by 2, that means that each shirt takes 14 seconds.

5x14=70

Therefore, it takes 70 seconds to fold 5 shirts.

4 0
3 years ago
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Triangle PQR is reflected across a line, P = (4,–5), and P’ = (–4, –5). What is the line of reflection? the x-axis the y-axis th
Evgesh-ka [11]

For this case we have that the original vertex is given by:

P = (4, -5)

We apply the following transformation:

(x, y) (-x, y)

We have then:

(4, -5) (- (4), -5) (- 4, -5)

Therefore, we have a reflection on the y axis.

The point obtained is the vertice:

P '= (-4, -5)

Answer:

the line of reflection is:

the y-axis

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3 years ago
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A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.If the mixture is to be made from milk containing
3241004551 [841]

Answer:

<u>800 pints</u> of 5% butterfat and <u>200 pints</u> of 20% butterfat is needed.

Step-by-step explanation:

Given:

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.

If the mixture is to be made from milk containing 5% butterfat, and cream

containing 20% butterfat.

Now, to find the pints of each is needed.

Let the pints of 5% butterfat be x.

And the pints of 20% butterfat be y.

<em>So, the total pints of milk:</em>

x+y=1000

x=1000-y  ......(1)

<em>As, given:</em>

<em>1,000 pints of milk that contains 8% butterfat.</em>

<em>The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.</em>

According to question:

5(x)+20(y)=8(1000)

5x+20y=8000

Substituting the value of x from equation (1):

5(1000-y)+20y=8000

5000-5y+20y=8000

5000+15y=8000

<em>Subtracting both sides by 5000 we get:</em>

15y=3000

<em>Dividing both sides by 15 we get:</em>

y=200.

<em>The pints of 20% butterfat = 200 pints.</em>

Now, to get the pints of 5% butterfat we put the value of y in equation (1):

x=1000-y

x=1000-200

x=800.

<em>The pints of 5% butterfat = 800 pints.</em>

Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

8 0
3 years ago
GUYS I NEED HELP PLSSSSSS! Ive been working on this ALL day!
Vika [28.1K]

First, let's write what we know.

We can represent the number of students in the play from each class as L, G, and C. We know that L = 7, and if Gardener has 4 more students than Cho, then G = C + 4.

Then, taking the third line, we can write an inequality:

C < L < G

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C - 4 < 3 < C

3 < C < 7

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Then, we need to find how many students are in the play.

C + L + G

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So we have our expression for the number of students in the play. Then, we need to find the total number of students. We know that 2C + 11 will be 30% of the total, so if T is the total, we can find T.

0.3T = 2C + 11

(Divide by 3/10 or multiply by 10/3 on both sides)

T = 20/3 C + 110/3

We know from before that C is 4, 5 or 6. We can plug these into our equation here to find which one produces a whole number.

T = 20/3 * 4 + 110/3

T = 190/3

T = 20/3 * 5 + 110/3

T = 210/3

T = 70

T = 20/3 * 6 + 110/3

T = 230/3

We can see here that only when C is 5 will the total be a whole number. That means Mrs. Cho has 5 students in the play. If Mrs. Gardner has 4 more than that, she has 9 students in the play in her class.  We now need to figure out the number of student in her class.

The total students are Cho's, Logan's, and Gardner's classes added together. We know that Logan's class is 23 students, so if we subtract that from the total, we can see that Cho's and Gardner's class have 47 students. If Mrs. Cho has 24 students in her class, we can subtract that from the 47, so we know that Mrs. Gardner has 23 students in her class.

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Answer:It would be -4 across and go two up

Step-by-step explanation:

6 0
3 years ago
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