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nalin [4]
3 years ago
14

There are 32 red or blue marbles in a bag. The number of red marbles is 4 more than 3 times the number of blue marbles. Write an

d solve a system of linear equations. How many red marbles are in the bag? How many blue marbles are in the bag?
Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

# red marbles = 25

# blue marbles = 7

Step-by-step explanation:

r + b = 32

r = 4 + 3b

substitute '4 + 3b' for 'r' in the 1st equation

4 + 3b + b = 32

4 + 4b = 32

4b = 28

b = 7

red = 32 - 7

r = 25

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Find the sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . . (2 points)
egoroff_w [7]

Answer:

sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318

Step-by-step explanation:

The given AP is,

1, -4, -9, -14, . . .

first term a = 1,

common difference d = -4 - 1 = -5

number of terms  n = 12

<u>Equation:</u>

Sum of n terms of AP, S₁₂ = n/2[2a + (n - 1)d]

S₁₂ = 12/2[(2*1) + (12 - 1)*(-5)]

S₁₂ = 6[2 + (11*(-5))]

S₁₂ = 6[2 - 55] = 6*(-53) = -318

Therefore sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318

8 0
3 years ago
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If jummai is 12years old and Tunde is 8years old and they share 15bananas in the ratio of their ages how many will each have sho
bixtya [17]

Jummai and Tunde will each have 9 and 6 bananas respectively.

For the given ratio case we use the sharing ratio criterion to solve the problem.

Jummai is 12 years old.

Tunde is 8 years old.

Their ages are in ratio of;

                             A = 12 : 8

                             A =  3 : 2

The ratio's sum is 5.

15 bananas total are available for sharing.

Jummai will have x\\ bananas  x = (15 x 3/5) = 9

Tunde will have y bananas  y = (15 x 2/5) = 6

Jummai and Tunde will each have 9 and 6 bananas with them.

To learn more about Ratio click here:

brainly.com/question/13419413

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5 0
1 year ago
How to find the area?????????????
Illusion [34]
Area of a triangle = 1/2 b•h

A = 1/2 b • h
A = 1/2 (10 cm • 9 cm)
A = 1/2 (90 cm^2)
A = 45 cm^2.
8 0
3 years ago
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Can someone help me pls
Arturiano [62]

Answer:

i got u

Step-by-step explanation:

i got u

8 0
2 years ago
The proof that point (1,root 3) lies on the circle that is centered at the origin and contains the point (0,2) is found in the t
AURORKA [14]
<h2>Answer:</h2>

D. Distance formula

<h2>Step-by-step explanation:</h2>

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As in the statement:

<em>The distance form</em> (0,0) to (0,2) is \sqrt{(0-0)^2+(2-0)^2}=\sqrt{2^2}=2 <em>whose justification is the </em><em>Distance Formula. </em>

<em />

Here in this statement the justification is also the Distance Fromula, so we take the distance from (0,0) \ to \ (1,\sqrt{2}) whose result is also 2 and is the radius of the circle.

3 0
3 years ago
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