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Rainbow [258]
4 years ago
13

There are five more blue blocks than green blocks. Three times the number of green blocks, increased by double the number of blu

e, equals 95. How many of each colour are there?
Mathematics
1 answer:
KonstantinChe [14]4 years ago
7 0

Answer:

22 blue blocks

17 green blocks

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

There are five more blue blocks than green blocks.

So, the number of blue blocks (b) is equal to the number of green blocks (g) plus 5.

  • b = g+5

Three times the number of green blocks (3g), increased by double the (+2b) number of blue, equals 95.  

  • 3g+2b =95

The system is  

b = g+5

3g+2b =95

Replacing b=g+5 in the second equation:

3g + 2 (g+5)=95

Solving for g:

3g +2g+10 =95

5g = 95-10

5g=85

g= 85/5

g= 17

Replacing g=17 in the first equation:

b = g+5

b = 17 +5

b=22

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Helen [10]

I only know the substitutional method so I am going to give you the answers.

1. (remember I am only using the substitutional method, I am doing the method wrong...)

x + y = 10, 3x - y = 2, 5(3x-y) = 5(2), 15x - 5y = 10, 15x -5y = x + y, 14x = 6y, x = 3/7 y , 3/7 y + y = 10, 10/7y = 10, 10 y = 70, y = 7, 14x = 42. x =3

y = 7, x = 3

2. What I know:

x + y = 6

x + 2x = 6

3x = 6

x = 2, y =4

3. I am using a video to help me remember.

x = 2y + 3     2x + 3y = -3.

-3 = 2y - x     -3 = 3y + 2x

0 = - y + 3x,     y = 3x

x = 2(3x) + 3,   x = 6x + 3

-5x = 3,            x = -3/5

y = 3(-3/5)

y = -9/5, x = -3/5

4 0
3 years ago
Can a system of two linear equations have only two or three solutions? Why or why not?
AnnZ [28]
No, because they can only intersect each other at one point.

Hope this helped :)
5 0
4 years ago
a contractor purchases 7 dozen pairs of padded work gloves for 103.32. She incorrectly calculates the unit price as $14.74 per p
quester [9]
The correct unit price would be $1.08 per pair of gloves. What the contractor didn't notice was it was 7 <em>dozen</em> pairs of gloves, not just seven pairs. If it had been seven pairs, she would have been correct, but it was actually 84 pairs of gloves. She needed to divide 103.32 by 84 rather than 7. 
8 0
3 years ago
Mateo's sister Paid off her student loans $5000 in 30 years if she made a payment of $152.35 each month what was a simple intere
belka [17]

Answer:

3.23%.

Step-by-step explanation:

Please consider the complete question.

Mateo's sister Paid off her student loans $5000 in 3 years if she made a payment of $152.35 each month what was a simple interest rate for a way around it to the nearest hundred

Let us find total amount paid by Mateo's sister in 3 years.

1 year = 12 months

3 years = 12*3 months = 36 moths.

\text{Amount paid in 36 months}=36\times \$152.35

\text{Amount paid in 36 months}=\$5484.6

Now, we will use simple interest formula to solve our given problem.

A=P(1+rt), where,

A = Total amount after t years.

P = Principal amount,

r = Annual interest rate in decimal form,

5484.6=5000(1+r(3))

\frac{5484.6}{5000}=\frac{5000(1+30r)}{5000}

1.09692=1+3r

1.09692-1=1-1+3r

3r=0.09692

r=\frac{0.09692}{3}

r=0.032306=3.2306\%\approx 3.23\%

Therefore, the interest rate was 3.23%.

5 0
3 years ago
Can anyone help me pls ( if you can, can you do it on paper and post it with the answer)
Molodets [167]

Answer:

7=a

Step-by-step explanation:

look at image for step by step

4 0
3 years ago
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