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irga5000 [103]
3 years ago
6

Solve by substitution 3x +y=13 and 5x-2y=7​

Mathematics
1 answer:
Verdich [7]3 years ago
3 0

Answer:

x=3

y=4

Step-by-step explanation:

I'm using 3x+y=13 to find y, then plug y into the second equation.

y= -3x+13

5x-2(-3x+13)=7

find x.

5x+6x-26=7

11x=33

x=3

now plug x into 3x+y=13(you could do it with the other equation too)

3(3)+y=13

y=13-9

y=4

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Carlos wants to put 720 of his blocks in his toy box. A small set has 10 blocks and a large set has 100 blocks. How can you writ
Natasha_Volkova [10]

Carlos can put the blocks in this three ways:

(i) 32 large blocks and 4 small blocks.

(ii) 22 large blocks and 5 small blocks.

(iii) 12 large blocks and 6 small blocks.

The total quantity of blocks equals the number of blocks stored in the sets of blocks. Based on the information given, we derive the following algebraic expression:

10\cdot m + 100\cdot n = 720, \forall\,m,n\in \mathbb{N_{O}} (1)

Where:

  • m - Quantity of small blocks.
  • n - Quantity of large blocks.

Now we can clear n in terms of m:

100\cdot n = 720 -10\cdot m

n = 7.2-0.1\cdot m (2)

From (2) we get the following combination of sets:

1) m = 12, n= 6

2) m = 22, n = 5

3) m = 32, n = 4

Carlos can put the blocks in this three ways:

(i) 32 large blocks and 4 small blocks.

(ii) 22 large blocks and 5 small blocks.

(iii) 12 large blocks and 6 small blocks.

We kindly invite to see this question on linear functions: brainly.com/question/3400735

6 0
2 years ago
In the air, it had an average speed of 16 m/s In the water, it had an average speed of 3 m/s before hitting the seabed. The tota
julia-pushkina [17]
<h2>The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>

Step-by-step explanation:

Total distance to sea bed = 127 m

Let the distance traveled in air be s.

Distance traveled in water = 127 - s

Average velocity in air = 16 m/s

Average velocity in water = 3 m/s

Distance traveled in air = Average velocity in air x Time in air

s = 16 x t₁

t_1=\frac{s}{16}

Distance traveled in water = Average velocity in water x Time in water

127-s = 3 x t₂

t_2=\frac{127-s}{3}

We have total time is 12 seconds

That is

                t₁ + t₂ = 12

                \frac{s}{16}+\frac{127-s}{3}=12\\\\3s+2032-16s=576\\\\13s=1456\\\\s=112m

We have

            s = 16 x t₁

            112 = 16 x t₁

             t₁ = 7 s

           t₁ + t₂ = 12

            7 + t₂ = 12    

             t₂ = 5 s

The stone fall in air for 7 seconds and fall in water for 5 seconds.

7 0
3 years ago
Dose someone know this
nataly862011 [7]
What is there to answer...
5 0
3 years ago
While researching the industry she is interested in, Demi sees that the average unemployment rate is 6.3%. How many people, out
ddd [48]

Answer:

15.75 is 6.3% of 250.

Formula:
[Percentage] x [Number Given] = [New number]

4 0
2 years ago
Read 2 more answers
I needhelp please :(
Karo-lina-s [1.5K]

Answer:

1/8

Step-by-step explanation:

-5/8+3/4 =( -20+24)/32 = 4/32

4/32= 1/8

4 0
3 years ago
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