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3 years ago

8 - ( 3 + b ) = b - 9 b = ?

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

6 0

Answer:

b=7

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

Alchen [17]3 years ago

4 0

Answer:

b = 7

Step-by-step explanation:

8 - 3 - b = b - 9

5 - b = b - 9

2b = 14

b = 7

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A batting machine uses an automatic baseball feeder. During baseball

Inessa05 [86]

The feeders in battling machine are represented in proportions and fractions.

The equation that represents the problem is: $\mathbf{\frac 16x + 15 = \frac 23x}$
The feeder can hold 30 baseballs, when full

The given parameters are:

$\mathbf{Initial = \frac 16x}$ ------ 1/6 full

$\mathbf{Additional = 15}$ --- baseballs added

$\mathbf{Final = \frac 23x}$ ---- 2/3 full

So, the equation that represents the problem is:

$\mathbf{Initial + Additional = Final}$

So, we have:

$\mathbf{\frac 16x + 15 = \frac 23x}$

The number of baseballs it can hold is calculated as follows:

$\mathbf{\frac 16x + 15 = \frac 23x}$

Multiply through by 6

$\mathbf{x + 90 = 4x}$

Collect like terms

$\mathbf{4x - x = 90 }$

$\mathbf{3x = 90 }$

Divide through by 3

$\mathbf{x = 30 }$

Hence, the feeder can hold 30 baseballs, when full

Read more about proportions and fractions at:

brainly.com/question/20337104

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1 year ago

On Monday, 30% of the 900 students at Maple Middle school walk to school. Complete the double numberline model. How many student

vagabundo [1.1K]

the answer is 270 (dont click ant links in this app)

8 0

2 years ago

Henry bought a package of cough drops for $3.79. He gave the clerk a $5 bill. How much change should he receive?

Alenkasestr [34]

Answer:

$1.21 he will recieve

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-18 when x=3

Otrada [13]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{f(x)}{y}=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=-18\\
x=3
\end{cases}\implies -18=k3
\\\\\\
\cfrac{-18}{3}=k\implies -6=k\qquad therefore\qquad \boxed{\stackrel{f(x)}{y}=-6x}$

5 0

2 years ago

The operating costs for each machine for one day have an unknown distribution with mean 1610 and standard deviation 136 dollars.

BabaBlast [244]

Answer:

20.27

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

Using the Central Limit Theorem for Means, what is the standard deviation for the sample mean distribution?

This is s when $\sigma = 136, n = 45$ . So

$s = \frac{136}{\sqrt{45}} = 20.27$

So the correct answer is:

20.27

3 0

3 years ago