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Bezzdna [24]
3 years ago
11

A bag contains 90 marbles, some red and some blue. If there are 60 blue marbles, what is the ratio of blue to red marbles?

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

If there is a total of 90 marbles, and we know that there is 60 blue marbles. We can assume that the remaining 30 marbles are red therefore the ratio of red to red marbles would be 60÷30, which is 2. Or the ratio is 60:30 which is reduced to 2:1.

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Hey if you're willing to help me with this, it will be very much appreciated, thanks maties and mates.
Nastasia [14]

Answer:

Width=37in

Length=55in

Step-by-step explanation:

Let x in be the width dimension, the length dimension will be x+18 in. Area of a rectangle is calculated as A=lw. Given  the area as2143 sq in, x can be calculated as:

Area= x(18+x)\\\\=18x+x^2\\\\

#Substitute for every x in our function to find the true value of x:

x=37\\\\A=x^2+18x\\\\=37^2+18\times37\\\\=2035 \ in^2#l=37+18=55in

for x=38:

x=38\\\\A=x^2+18x\\\\=38^2+18\times38\\\\=2128 \ in^2#l=38+18=56in

For x=39:

x=39\\\\A=x^2+18x\\\\=39^2+18\times39\\\\=2223 \ in^2#l=39+1854in

From the calculations above, A television with a width of 37 in and length 55in has its area closest to 2143 sq in.

4 0
2 years ago
-2 4/5 + 1/4 equals what ?
vlada-n [284]
Hey there! :)

Since 2 4/5 is greater than 1/4, the answer is negative.

You can just subtract 2 4/5 and 1/4 and add the (-) sign

2 4/5 - 1/4

Change the fractions so they can have a common denominator: 20

2 4/5 = 2 16/20

1/4 = 5/20

2 16/20 - 5/20 = 2 11/20

Add the (-) sign → -2 11/20

Answer ⇒ -2 11/20

:)
5 0
3 years ago
Find the complement and the supplement of the given angle.<br> 23°
e-lub [12.9K]

Answer:

Complement: 67°

Supplement: 157°

Step-by-step explanation:

Complementary angles = 90°

90-23=67°

Supplementary angles = 180°

180-23=157°

7 0
3 years ago
If the freshman class of 63 students has 11 more boys than girls, determine how many of each are in the class.g 1
torisob [31]
B + G = 63
B = G + 11

G + 11 + G = 63
2G + 11 = 63
2G = 63 - 11
2G = 52
G = 52/2
G = 26 <=== 26 girls

B = G + 11
B = 26 + 11
B = 37 <=== 37 boys

4 0
3 years ago
The probability that…. The student is not female or received a degree outside of the field
a_sh-v [17]

Answer:  0.8953 (approximate)

The more accurate value is 0.89528093209023; however, it's not entirely exact either. Round that however you need.

===========================================================

Explanation:

There are 774,517 males and 1,400,843 people who got their degree outside of the field. Add those values

774,517+1,400,843 = 2,175,360

This unfortunately double counts the number of males who got their degree outside of the field (576,228) so we need to subtract that count off

2,175,360 - 576,228 = 1,599,132

------------------------

There are 1,599,132 people who are either

  • A) male
  • B) got their degree outside the field, or,
  • C) both male and got their degree outside the field

This is out of 1,786,179 people total.

We'll divide these two values to get the final answer

(1,599,132)/(1,786,179) = 0.89528093209023

It's not clear how your teacher wants you to round this. If you round it to say 4 decimal places, then you'd get approximately 0.8953

The chances of the student not being a female or receiving their degree outside the field is roughly 89.53%

8 0
2 years ago
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