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3 years ago

5

How do I find the unit rate of $7.96 for 5 pounds?

1 answer:

SpyIntel [72]3 years ago

4 0

$\frac{5}{7.96} = \frac{1}{x} \\ \\ 5*x=7.96*1 \\ \\ 5x=7.96 \\ \\ x= \frac{7.96}{5} \\ \\ x=1.592 \\ \\ x=1.59$

Unit Rate: $1.59 per pound

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Name two pairs of adjacent angles and two pairs of vertical angles in the figure

insens350 [35]

Adjacent angles :

IGJ and IGH

KGL and LGM

vertical angles :

JGK and HGM

IGJ and MGL

hope this helps

7 0

3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

A restaurant uses a folded paper box for to-go orders. A to-go meal container has a surface area of 40 in². To make a to-go meal

aniked [119]

It's C)12 squared because you have to look outside of the box

8 0

3 years ago

What value of x makes the equation true?

soldier1979 [14.2K]

This one is easy.
<span>–8.6 = –4.1 + x
</span>
So, what you have to do is add 4.1 on both sides.
You do this because you want to get X alone. when you do,
-8.6+4.1=-4.5

X=-4.5
The answer is B

3 0

3 years ago

Read 2 more answers

A certain medicine is given in an amount proportional to patient’s body weight. Suppose a patient weigh in 116 pounds requires 1

LiRa [457]

Answer: 189 mg.

Step-by-step explanation:

Let x be the weight of the body( in pounds) and y be the amount of medicine( in mg).

Given: A certain medicine is given in an amount proportional to patient’s body weight.

i.e. $\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

Let $x_1=116\ \ \ ,\ y_1=126$ , $x_2=174$

then,

$\dfrac{116}{126}=\dfrac{174}{y_2}$

$\Rightarrow\ y_2=\dfrac{174\times126}{116}\\\\\Rightarrow\ y_2=189$

Hence, he amount of medicine required by patient weighing 174 pounds = 189 mg.

6 0

3 years ago