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Elenna [48]
3 years ago
9

What is the solution of

rmula1" title="\frac{x+2}{4} = \frac{x+8}{3}" alt="\frac{x+2}{4} = \frac{x+8}{3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

x = -26

Step-by-step explanation:

Multiply both sides by the lowest common multiple of 4 and 3, which is 12.

3(x+2) = 4(x+8)

3x + 6 = 4x + 32 --- distribute the 4 and 3

6 = x + 32 --- subtract 3x from both sides

-26 = x --- subtract 32 from both sides

x = -26

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An empty box weighs 200 g the boxes filled with party goody bags and now it weighs 6.2 kg each goodie bag weighs 100 and grams w
jok3333 [9.3K]

Answer:

60 goody bags

Step-by-step explanation:

1 kg = 1000 g

6.2 kg = 6,200 g

Empty box = 200 g

Box + goody bags = 6,200 g

Weight of Goody bags = Box + goody bags - empty box

= 6,200g - 200g

= 6,000 grams

Each goody bag = 100 g

how many goody bags are inside the box

Number of goody bag in the box = total weight of goody bag / weight of each goody bag

= 6,000 grams / 100 grams

= 60 goody bags

There are 60 goody bags in the box

5 0
2 years ago
Determine the slope and y-intercept of the line y=-6x+8
andrezito [222]

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

In this case:

m = -6

b = 8

This means that -6 is the slope and (0, 8) is the y-intercept.

Hope this helped!

~Just a girl in love with  Shawn Mendes

5 0
3 years ago
Read 2 more answers
Which characteristics describe the scatterplot? check all that apply.
FrozenT [24]

The characteristics described in the scatterplot are B. positive correlation D. weak association E. linear.

<h3>What are the condition for Correlation?</h3>

1. Negative Correlation:

The correlation is achieved when either or both values of x and y on the graph decrease.

2. Positive Correlation

The correlation is achieved when the slope (value) of both x and y increases.

3. Strong Correlation

This is achieved when there's uniformity in slopes x and y.

4. Weak Correlation

This is achieved when there are no uniforms in slopes x and y

5. Linear

Linearity is achieved when the data pattern is linear (straight)

6. Nonlinear

Non-Linearity refers to whether a data pattern is curved.

We can see that the characteristics described in the scatterplot are B. positive correlation D. weak association E. linear.

Learn more about correlation coefficient here:

brainly.com/question/10725272

#SPJ1

8 0
2 years ago
Find the total cost. $ 1,299 T.V.; 7% tax<br> Math
Leto [7]
The total to this would be $1,389.93 because $1,299 + 7% = $1,389.93
4 0
3 years ago
Ayuda por favor
sergeinik [125]

A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.

<h3>¿Cómo determinar la medida de un lado de un triángulo desconocido?</h3>

En este problema tenemos un sistema formado por dos triángulos <em>similares</em>, la semejanza entre los dos triángulos se debe a la colinealidad entre los segmentos de línea AP' (triángulo <em>pequeño</em>) y AP'' (triángulo <em>grande</em>), así como de los lados AM y AB, así como los lados AN y AC, así como los <em>mismos</em> ángulos en la <em>misma</em> distribución. (Semejanza Lado - Ángulo - Lado)

En consecuencia, obtenemos las siguientes proporciones:

AP'/AP'' = MN/BC = 1/2     (1)

Finalmente, la proporción entre el triángulo AMN y el cuadrilátero BMNC es:

\frac{AMN}{ABC - AMN} = \frac{\frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)}{\frac{1}{2}\cdot (2\cdot a) \cdot  h - \frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)} = \frac{\frac{1}{4}\cdot a\cdot h }{a\cdot h - \frac{1}{4}\cdot a \cdot h }

\frac{AMN}{ABC - AMN} = \frac{\frac{1}{4} }{\frac{3}{4} } = \frac{1}{3}

A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.

Para aprender sobre triángulos semejantes: brainly.com/question/21730013

#SPJ1

3 0
2 years ago
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