On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14 patients, respectively, that they assist. What is the average number of patients per nursing assistant?

Answer:

[tex]p^2(p+5)(p-2)[/tex]

Step-by-step explanation:

To begin factoring the expression [tex]p^4+3p^3-10p^2[/tex], we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:

[tex]p^4=p*p*p*p[/tex]

[tex]3p^3: 3*p*p*p[/tex]

[tex]-10p^2: -10*p*p[/tex]

Remember -10 can factor into smaller numbers but since it doesn't have common factors with the others, we've chosen to leave it as -10.

We notice the only common factors bare p*p or [tex]p^2[/tex].

We write in the form p^2(____+_____+_____). We find the inside of the parenthesis by dividing each term by p^2.

[tex]\frac{p^4}{p^2} =p^2[/tex]

[tex]\frac{3p^3}{p^2} =3p[/tex]

[tex]\frac{-10p^2}{p^2}=-10[/tex]

[tex]p^2(p^2+3p-10)[/tex].

We are not finished yet. We have a trinomial (3 terms) which also factors. We factor by splitting the middle term 3p into factors of -10 which add to 3.

--10 = 5 * -2

3p= 5p +-2p

We write [tex]p^2(p+5)(p-2)[/tex].

Answer:

I think the equation is 7l +5=60

Step-by-step explanation:

x = 8.5 + 2.5y answer one can’t figure out answer two. Sorry

Answer:

{x = 1 , y = 3

Step-by-step explanation:

Solve the following system: using elimination:

{2 x + 5 y = 17 | (equation 1)

{6 x - 5 y = -9 | (equation 2)

Swap equation 1 with equation 2:

{6 x - 5 y = -9 | (equation 1)

{2 x + 5 y = 17 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{6 x - 5 y = -9 | (equation 1)

{0 x+(20 y)/3 = 20 | (equation 2)

Multiply equation 2 by 3/20:

{6 x - 5 y = -9 | (equation 1)

{0 x+y = 3 | (equation 2)

Add 5 × (equation 2) to equation 1:

{6 x+0 y = 6 | (equation 1)

{0 x+y = 3 | (equation 2)

Divide equation 1 by 6:

{x+0 y = 1 | (equation 1)

{0 x+y = 3 | (equation 2)

Collect results:

Answer:  {x = 1 , y = 3

Answer:

31/100

Step-by-step explanation:

From the given table

Reading books percentage is 22

so Probability (reading books) = [tex]\frac{22}{100}[/tex]

Surf the internet percentage is 9

Probability (surf the internet) =[tex]\frac{9}{100}[/tex]

the probability (reading books or surf the internet)= P(reading books) + P(surf the internet)

probability (reading or surf)=  [tex]\frac{22}{100} +\frac{9}{100}[/tex]

=  [tex]\frac{31}{100} [/tex]

Answer:

Answer is [tex]\frac{31}{100}[/tex]

Step-by-step explanation:

values given in table

Reading books percentage is 22

hence we can write probability as

Probability (reading books) = [tex]\frac{22}{100}[/tex]

percentage of surfing internet is= 9

Probability  of surfing internet is =[tex]\frac{09}{100}[/tex]

the probability (reading books or surf the internet)= P(reading books) + P(surf the internet)

probability (reading or surf)=  [tex]\frac{22}{100}[/tex]+[tex]\frac{09}{100}[/tex]

=[tex]\frac{31}{100}[/tex]

Answer: 4 cups of milk

=============================

Work Shown:

2 & 1/2 = 2 + 1/2 = 2+0.5 = 2.5

2.5 cups of milk makes 5 servings

x cups of milk makes 8 servings

Divide the cups of milk over the servings to get this proportion

2.5/5 = x/8

Cross multiply and solve for x

2.5/5 = x/8

2.5*8 = 5*x

20 = 5*x

5*x = 20

x = 20/5

x = 4

You need 4 cups of milk to make 8 servings

Answer:

Answer. Multiplying by 3/4 is the same as multiplying by 75%.

Step-by-step explanation:

Last option: Multiplying by 3/4 is the same as multiplying by 75%, because:

3/4=0.75 and

75%=75/100=0.75

then 3/4=0.75=75%

16^1/2 is the same thing as 2√16.

Simply multiply the result of √16 by 2 to get the answer.

√16 = 4

4 * 2 = 8

a)

well, she put 4000, and she earned in interest 960, so her accumulated amount is just their sum, 4960.

b)

now, it doesn't say, so we're assuming is simple interest, as opposed to compound interest.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&960\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to r\%\to \frac{r}{100}\dotfill\\ t=years\dotfill &3 \end{cases} \\\\\\ 960=(4000)(r)(3)\implies \cfrac{960}{(4000)(3)}=r\implies 0.08=r \\\\\\ \stackrel{\textit{converting to percentage}}{r=0.08\cdot 100}\implies r=\stackrel{\%}{8}[/tex]

c)

let's make the rate 1% greater then, and check

[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to \stackrel{8+1}{9\%}\to \frac{9}{100}\dotfill&0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(4000)(0.09)(3)\implies I=1080 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{at 9\%}}{1080}-\stackrel{\textit{at 8\%}}{960}\implies \stackrel{\textit{that much more}}{120}[/tex]

Answer:

[tex]BD=10[/tex]

Step-by-step explanation:

We are given rectangle ABCD

Firstly, we will draw a rectangle

we can see that

AC and BD are diagonals of rectangle

and we know that

Diagonals of any rectangle are always equal

so,

[tex]AC=BD[/tex]

we are given

AC=10

we can plug it

and we get

[tex]10=BD[/tex]

so,

[tex]BD=10[/tex]

Answer:

x - 2y = - 14

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given y - 6 = [tex]\frac{1}{2}[/tex](x + 2)

multiply all terms by 2 to eliminate the fraction

2y - 12 = x + 2 ( subtract 2 from both sides )

2y - 14 = x ( subtract 2y from both sides )

- 14 = x - 2y, hence

x - 2y = - 14 ← in standard form

1.74/-0.06 is -29.

You can use your calculator next time. Its easier than using points.

Answer:

[tex]1-4x[/tex]

Step-by-step explanation:

A product of two numbers is the result we get from multiplying them together. The product of 4 and x would then be [tex]4\times x[/tex], which we can rewrite as [tex]4x[/tex]. We're then told by the statement "one minus the product..." that we'll be taking this [tex]4x[/tex] away from 1, giving us the answer [tex]1-4x[/tex].

Answer:

The numerical expression would be 1-4x

Step-by-step explanation:

[One] - [minus] [the product of]  

4 and  x is the product of 4 and 4.x

Answer:

angle(TSW) is 18

Step-by-step explanation:

we are given angles

angle(RST)=2x+8

angle(TSW)=3x+14

angle(RSW)=7x-2

Firstly, we will draw diagram

so, we get

angle(TSW)=angle(RST)+angle(RSW)

so, we can plug values

[tex]3x+14=2x+8+7x-2[/tex]

now, we can solve for x

[tex]9x-3x=14-6[/tex]

[tex]6x=8[/tex]

now, we can solve for x

[tex]x=\frac{4}{3}[/tex]

now, we can find angle (TSW)

angle(TSW) is

[tex]=3\times \frac{4}{3} +14[/tex]

[tex]=4 +14[/tex]

[tex]=18[/tex]

So, angle(TSW) is 18

To solve for x, we set up an equation based on the sum of angles forming a straight line. Solving the equation, we find x=12. Substituting x into the equation for angle tsw, we find that angle tsw measures 50 degrees.

To find the value of x for the angles rst, tsw, and rsw, you need to understand that they are all connected by their location on a straight line or a point. If angles rst and tsw are adjacent angles that form a straight line, their measures would add up to 180° because a straight line measures 180°. The same is true for the angle rsw if it is the full angle at that point or the sum of angles rst and tsw.

The equations are given as:

Since angle rsw is the full angle, you can write the equation:

7x - 2 = (2x + 8) + (3x + 14)

Now, solve for x:

7x - 2 = 2x + 8 + 3x + 14

7x - 2 = 5x + 22

7x - 5x = 22 + 2

2x = 24

x = 24 / 2

x = 12

Now that we have the value of x, we can find angle tsw by substituting x into its equation:

angle tsw = 3x + 14

angle tsw = 3(12) + 14

angle tsw = 36 + 14

angle tsw = 50°

Answer:

1 2/3

Step-by-step explanation:

well first reduce it which would be 5/3 since the greatest common denominator would be 4. Then put 3 in the 5 which goes only once and 2 is left over. Keep the threeas the denominator instead of the numerator.

Answer:

No each sandwich costs about 8.25, when multiplied it goes to $99 which is 14 dollars too much

Step-by-step explanation:

Answer:

Step-by-step explanation:

A surprisingly large amount of money.

The question is "Does the amount of money just double or do the previous amounts add to the present amount?"

I think it just doubles. Not only that, but she can't spend any of it until night 22 is reached.

Answer:

Centimeters and kilometers are used to measure length

Step-by-step explanation:

Centimeters and kilometers are related to each other.

We can represents centimeters in  kilometers and kilometers in centimeters

Short form

The short form of kilometers = km

The short form of centimeters = cm

1 km = 100000 cm

1 cm = 1/100000  km

We can also represent both  in terms of meters

1 m = = 100 cm

1000 m = 1 km

Answer:

side of the mosaic  = 7 inches

Step-by-step explanation:

Diego has 49 square inch tiles. He wants to use to make a square mosaic.

Area of the tile = 49 square inches

We know , area of the square = s^2

where 's' is the side of the square

[tex]Area = s^2[/tex]

Plug in 49 for area  and solve for 's'

[tex]49 = s^2[/tex]

Take square root on both sides

s= 7

side of the square = 7 inches

Diego can make a square mosaic where each side is 7 inches using his 49 square-inch tiles. This is found by calculating the square root of the total area.

The subject of this question is Mathematics, specifically dealing with square roots and area calculations. Diego has 49 square inch tiles and wants to make a square mosaic. Since a square has equal sides, the length of each side of the mosaic will be the square root of the total area. The total area of the tiles is 49 square inches. The square root of 49 is 7. Therefore, each side of Diego's mosaic will be 7 inches in length. This conclusion is reached by understanding how the area of a square works. The area of a square can be calculated by multiplying the length of one side by the length of another side. When we know the total area, we can find the length of one side by taking the square root.

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Answer:

Step-by-step explanation:

0.123

2.13

2.31

3.12

That is least to greatest. I hope I answered your ?. Can you help me?

Answer:

0.123, 2.13, 2.31, 3.12

Step-by-step explanation:

look at first number and put those in order.

with both numbers that start with 2, look at the next number and put the lowest one first

Answer:

D or 20

Step-by-step explanation:

If the scale factor is 2 then you take the original number, 10, and multiply it by 2.

10*2=20

Answer:

Option D). 20 inches

Step-by-step explanation:

Length of AB which is of length = 10 inches.

If the length of AB is dilated to form A'B' with a scale factor of 2, then we have to find the length of A'B'

Since we know the formula of dilation as

New dimension = Scale factor × Old dimension

So A'B' = Scale factor × AB

A'B' = 2× 10 = 20 Inches

Option D). 20 inches is the solution.

Answer:

The slope is 7/4.

Answer:

y = 7x + 1

Step-by-step explanation:

If the slope and coordinates have already been given, you can plug the values into the following equation of a line:

y - y1 = m(x - x1)

Where y1 is the y coordinate, so in this case 8,

x1 is the x coordinate which is 1

m is the slope, so 7:

y - 8 = 7(x - 1)

Expand the brackets:

y - 8 = 7x - 7

To isolate the y, we need to move the -8 over to the other side making it a positive 8:

y = 7x - 7 + 8

y = 7x + 1

So the equation of the line is y = 7x + 1

Answer:

PT, VP

Step-by-step explanation:

if p is the center and T V and W are on the circle

the radius goes from the center of the circle to the edge of the circle

then PW PT and PW are radii of the circle

Answer:

the answer is 58344

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is a diagram of a seven sided regular polygon. You use this diagram to find out how many degrees total are in the interior of a the heptagon. There are 5 such triangles which means that since each triangle has 180o the total amount of the interior angles must be 5 * 180 = 900

Since there are 7 interior angles, the answer to how large each one of them is is found by

900/7 = 129.57 which is slightly off because it is a rounded error.

In general, the size of the angles  in a  regular polygon

180(n - 2 ) / n

Where n is the number of degrees in each interior angle. For example for an 8 sided figure you would get

180(8 - 2) / 8 = 180 * 6/8 = 133 degrees.

Answer: sixteen and two-hundred fifteen ten thousandths

You'd have to correspond the numbers to words and associate the period with and

Answer: Sixteen and two hundred fifteen ten-thousandths

We read off "16" as normal. Nothing too special about it.

The same goes for the 0215 which is really just 215, even though this part is after the decimal point. However, because it is after the decimal point, we tack on a "ten thousandths" to indicate it's a fractional non-whole portion

Note: if you change the 0 to something like a 3, then we would have 3215 which is less than ten-thousand. This might help you remember that four decimal spots out is the ten-thousandth place value.

another note: the "and" mentioned in the answer is a key word that indicates "decimal point". Only use it for decimal points. Do not use it for a number like "215". In other words, don't say "two hundred and fifteen" because that might seem like you are trying to say 2.15 or something along those lines.

Answer:

1.21d

Step-by-step explanation:

21% more = times 1.21

so Ron's class donated 1.21 times danny's class, therefore the expression for the amount ron's class donated in terms of danny's class is 1.21 d

Answer:

the correct answer is $4018