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2 years ago

Solve question in image (yr 8 math, 40 pt)

Mathematics

2 answers:

Nady [450]2 years ago

7 0

Answer:

y = 3

Step-by-step explanation:

(5y - 3)/4 + 6 = 3y

5y - 3 + 24 = 12y

7y = 21

y = 3

Check.

(5*3 - 3)/4 + 6 = 3*3

(15 - 3)/4 + 6 = 9

12/4 + 6 = 9

3 + 6 = 9

9 = 9

stich3 [128]2 years ago

6 0

Answer: y = 3

Step-by-step explanation:

Given equation

$\frac{5y~-~3}{4} ~+~6~=~3y$

Multiply 4 on both sides (to eliminate fraction)

$\frac{5y~-~3}{4} *4~+~6*4~=~3y*4$

$(5y~-~3)~+~24~=~12y$

Expand parenthesis and combine like terms

$5y~-~3~+~24~=~12y$

$5y~+~21~=~12y$

Subtract 5y on both sides

$5y~+~21~-~5y~=~12y~-~5y$

$21~=~7y$

Divide 7 on both sides

$21~/~7~=~7y~/~7$

$\Large\boxed{y=3}$

Hope this helps!! :)

Please let me know if you have any questions

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Annette [7]

HOPE ITS HELPFUL ^_^

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3 0

3 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.725.72 millimeters and a standard de

suter [353]

Answer:

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 5.72, \sigma = 0.07$

Top 5%:

X when Z has a pvalue of 0.95. So X when Z = 1.645

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 5.72}{0.07}$

$X - 5.72 = 1.645*0.07$

$X = 5.84$

Bottom 5%:

X when Z has a pvalue of 0.05. So X when Z = -1.645

$Z = \frac{X - \mu}{\sigma}$

$-1.645 = \frac{X - 5.72}{0.07}$

$X - 5.72 = -1.645*0.07$

$X = 5.60$

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

7 0

3 years ago

Read 2 more answers

Which number sentence below is not correct?

Mama L [17]

17.154 < 17.15 is incorrect.
17.15 is 17.150 which is less than 17.154 not greater than.

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3 years ago

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. A parallelogram that is not draw

Bezzdna [24]

Answer:

Option 2) 2x3 – 6x2 – 14x + 24 square centimeters

Step-by-step explanation:

We know the Parallelogram Area is given by

$A=bh$ Eqn. (1)

where

$b$ : is the base

$h$ : is the height

We are also given that the base is

$b=2x^2+2x-6$

and the height is

$h=x-4$

So we can plug these two expressions in Eqn. (1), simplify and find our Area equation as follow:

$A=(2x^2+2x-6)(x-4)\\\\A=(2x^2)(x)+(2x)(x)-(6)(x)+(2x^2)(-4)+(2x)(-4)-(6)(-4)\\\\A=2x^3+2x^2-6x-8x^2-8x+24\\\\A=2x^3+2x^2-8x^2-6x-8x+24\\\\A=2x^3-6x^2-14x+24$

Which matches Option 2. from the available ones.

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3 years ago

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If a jogger jogs 6 kilometers in 45 minutes what is his speed

kaheart [24]

45 minutes = 3/4 hours

so his speed = 6 / 3/4 kph

= 8 km / h Answer

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3 years ago