Answer:
11
Step-by-step explanation:
slope is change in y over change in x. so, if x is increasing by one every time and y is increasing by 11, then the slope is 11/1, which we write as 11.
Answer:
900
Step-by-step explanation:
10% de 9000 es 900
Trabajando el 10% de 9000
Escribe 10% como 10100
Dado que, encontrar la fracción de un número es lo mismo que multiplicar la fracción por el número, tenemos
10100 de 9000 = 10100 × 9000
Por tanto, la respuesta es 900
Si está utilizando una calculadora, simplemente ingrese 10 ÷ 100 × 9000, lo que le dará 900 como respuesta.
Full question:
Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?
Answer:
The width of the area model is 2x + 1
Step-by-step explanation:
Given
Expression: 10x² + 5x
Factor: 5x
Required
Width of the Area Model
To solve this, I'll assume the area model is Length * Width
Provided that we're to solve for the width of the model.
This implies that; Length = 5x
Area = Length * Width
And
Area = 10x² + 5x
Equate these two
Length * Width = 10x² + 5x
Factorize express on the right hand side
Length * Width = 5x(2x + 1)
Substitute 5x for Length
5x * Width = 5x(2x + 1)
Divide both sides by 5x
Width = 2x + 1
Hence, the width of the area model is 2x + 1
Answer:
28 Kg : 8 Kg
Step-by-step explanation:
Sum the parts of the ratio, 7 + 2 = 9 parts
Divide 36 Kg by 9 to find the value of one part of the ratio.
36 Kg ÷ 9 = 4 Kg ← value of 1 part of the ratio, thus
7 parts = 7 × 4 Kg = 28 Kg
2 parts = 2 × 4Kg = 8 Kg
36 Kg in the ratio 7 : 2 = 28 Kg : 8 Kg
Answer:
8
Step-by-step explanation:
The numbers are 6 and 2x, then:
- 1/6 + 1/(2x) = 7/24
- 1/3 + 1/x = 7/12
- (x+3)/(3x) = 7/12
- 12(x+3) = 7*3x
- 12x + 36 = 21x
- 21x - 12x = 36
- 9x = 36
- x = 4
The other number is 2*4 = 8
