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Daniel [21]
3 years ago
14

A bag is filled with green and blue marbles. There are 105 marbles in the bag. If there are 25 more green marbles than blue marb

les, find the number of green marbles and the number of blue marbles in the bag.
Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

Step-by-step explanation:

we have 105 marbles

number of blue marbles= x

green marbles= x+25

x+x+25=105

2x=105-25

2x=80

x=40 blue marbles

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babunello [35]
All you have to do is cancel the x 4/11
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3 years ago
You plant a garden in the shape of a triangle as shown in the figure. What is the perimeter of the garden? Find the values of x
Vadim26 [7]

Answer:

x = 42°

y = 69°

Step-by-step explanation:

From the picture attached,

Given triangle is an isosceles triangle.

Therefore, two sides will be equal and measure 8 yd.

Measure of 3rd side of the triangle = 6 yd

Perimeter of the garden = 8 + 8 + 6

                                        = 22 yd

In an isosceles triangle, opposite angles of the equal sides will be equal.

Therefore, y = 69°

By the property of interior angles of a triangle,

x° + y° + 69° = 180°

x° + 69° + 69° = 180°

x = 180 - 138

x = 42°

7 0
3 years ago
D, h, and p are coplanar ?
Allushta [10]

Answer:

Yes

Step-by-step explanation:

But if you stuck a pencil through the center of the picture the line that it makes would not be coplanar.

6 0
3 years ago
Read 2 more answers
Coach Evans recorded the height, in inches of each player on his team. The results are shown.
marysya [2.9K]

Answer:

3

Step-by-step explanation:

Given:

Team heights (inches):

61, 57, 63, 62, 60, 64, 60, 62, 63

To find: IQRs (interquartile ranges) of the heights for the team

Solution:

A quartile divides the number of terms in the data into four more or less equal parts that is quarters.

For a set of data, a number for which 25% of the data is less than that number is known as the first quartile (Q_1)

For a set of data, a number for which 75% of the data is less than that number is known as the third quartile (Q_3)

Terms in arranged in ascending order:

57,60,60,61,62,62,63,63,64

Number of terms = 9

As number of terms is odd, exclude the middle term that is 62.

Q_1 is median of terms 57,60,60,61

Number of terms (n) = 4

Median = \frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th}  }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{60+60}{2}=\frac{120}{2}=60

So, Q_1=60

So, 25% of the heights of a team is less than 60 inches

Q_3 is the median of terms 62,63,63,64

Median = \frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th}  }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{63+63}{2}=\frac{126}{2}=63

So, Q_3=63

So, 75% of the heights of a team is less than 63 inches

Interquartile range = Q_3-Q_1=63-60=3

The interquartile range is a measure of variability on dividing a data set into quartiles.

The interquartile range is the range of the middle 50% of the terms in the data.

So, 3 is the range of the middle 50% of the heights of the students.

4 0
3 years ago
Sovle the following inequality -3m + 18 < 30​
denis-greek [22]

Answer:

m>-4

Step-by-step explanation: First subtract 18 from both sides, then simplify 30-18, which equals 12. Divide both sides by -3, and flip your sign.

7 0
3 years ago
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