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lidiya [134]
3 years ago
7

Multi-Step Max's school bought boxes of

Mathematics
1 answer:
Dovator [93]3 years ago
8 0

Answer:

564 pencils

Step-by-step explanation:

1 box = 12 pencils

25 boxes = 25 × 12 pencils = 300 pencils

22 boxes = 22 × 12 pencils = 264 pencils

300 + 264 = 564 pencils

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12x - 2y = -1<br>+ 4x + 6y= -4<br>​
svp [43]

Answer:

x = -7/40 , y = -11/20

Step-by-step explanation:

Solve the following system:

{12 x - 2 y = -1 | (equation 1)

4 x + 6 y = -4 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{12 x - 2 y = -1 | (equation 1)

0 x+(20 y)/3 = (-11)/3 | (equation 2)

Multiply equation 2 by 3:

{12 x - 2 y = -1 | (equation 1)

0 x+20 y = -11 | (equation 2)

Divide equation 2 by 20:

{12 x - 2 y = -1 | (equation 1)

0 x+y = (-11)/20 | (equation 2)

Add 2 × (equation 2) to equation 1:

{12 x+0 y = (-21)/10 | (equation 1)

0 x+y = -11/20 | (equation 2)

Divide equation 1 by 12:

{x+0 y = (-7)/40 | (equation 1)

0 x+y = -11/20 | (equation 2)

Collect results:

Answer:  {x = -7/40 , y = -11/20

6 0
3 years ago
El triángulo ABC es equilátero y L, M y N son los puntos medios de BC, AB y CA respectivamente. Si MN = 3, ¿cuál es el valor de
Flauer [41]

The value of <u>ML = 3</u>, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

  • MN || BC, and MN = (1/2)BC,
  • ML || AC, and ML = (1/2)AC, and
  • NL || AB, and NL = (1/2)AB.

Assuming AB = BC = AC = x units, we get:

  • MN = (1/2)BC = x/2,
  • ML = (1/2)AC = x/2, and
  • NL = (1/2)AB = x/2.


Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of <u>ML = 3</u>, using the mid-point theorem of triangles.

Learn more about the mid-point theorem of triangle at

brainly.com/question/9635025

#SPJ1

The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"

4 0
2 years ago
1.What is the first quartile of these numbers?
Sladkaya [172]
#1 is 4 for the 1st quartile
7 0
3 years ago
Last year Tammy had $4,500 to invest in two savings accounts. One account earns 7% simple annual interest, and the other account
Nat2105 [25]
Let x be the amount invested at 7% and y the amount invested at 6%

We know that the yearly interest earned = 0.07(x) and 0.06(y)
x+y =4500 
0.07x +0.06 y =290
Solving the equations will give , x = $2,000 and y=$2,500

7 0
3 years ago
Which is the following represents the general term for the sequence 1,3,5,7,9
irinina [24]
N+2 is the answer because you add 2 to the previous term to get the next one.
6 0
3 years ago
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