Why is it helpful to use a problem-solving plan to solve problems?

Answer:

C. employees per pool...

Answer:

1. n = -3

6n + 4n = -30

10n = -30

n = -3

Answer:

1400m^2

Step-by-step explanation:

Let the breadth of the garden be a, therefore the length of the garden is (a+5).

The perimeter of the garden is the sum of all its sides, therefore:

Perimeter = a + a + (a+5) + (a+5) = 150

Simplifying the LHS of the equation:

4a +10 = 150

Subtracting 10 from both sides of the equation:

4a = 140

Dividing both sides by 4:

a = 35 = breadth

Therefore the length of the garden = (a + 5) = 40

Recall that the area of the garden is its length multiplied by its breadth, therefore:

Area = 35*40 = 1400

Answer:

area=1400

Step-by-step explanation:

length(l)=x+5

breadth(b)=x

Perimeter=2(l+b)

      150    =2(x+5+x)

         150 =2x+10+2x

    150-10=4x

       140=4x

         x=35          

therefore breadth=35

                 length=40

area=l*b

      =35*40

     =1400

Answer:

-43

Step-by-step explanation:

If a = 6.

B= -1 - 7a. a=6. 7a=42

B = -1 - 42 = -43

Answer:

44

Step-by-step explanation:

Take the miles you already traveled and subtract it from the total.

73-29=44

Answer:

DF = 57

Step-by-step explanation:

DE + EF = DF

(4x + 10) + (2x - 1) = 9x - 15

Combine like terms on the left side

6x + 9 = 9x - 15

Subtract 6x on both sides

9 = 3x - 15

Add 15 on both sides

24 = 3x

Divide by 3 on both sides

x = 8

DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57

Checking:

(4(8) + 10) + (2(8) - 1) = 9(8) - 15

(32 + 10) + (16 - 1) = 72 - 15

58 - 1 = 72 - 15

57 = 57

Answer:

DF= DE+EF

9x–15 = (4x+10)+(2x-1)

9x–15 = 6x +9

9x–6x= 9+15

3x = 24

x=24/3

x=8

DF = 9x –15 = 9(8)–15= 72 –15 = 57

So; DF = 57

I hope I helped you^_^

Answer:

[tex] \displaystyle 0.344[/tex]

Step-by-step explanation:

we are given that a coin is tossed 6 times and we want to find the probability of getting at most 2 heads.

To solve this problem,we can consider binomial distribution, which is given by

[tex] \displaystyle P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} [/tex]

where:

we want to figure out the probability of getting at most 2 heads out of 6 trials , The probability can therefore be found by adding up all the binomial distributions including X=2 and less than it, Thus

[tex] \displaystyle P(X \leq 2) = P(X=0)+P(X=1)+P(X=2) [/tex]

[tex] \displaystyle P(X \leq 2) = \binom{6}{0} {p}^{0} {q}^{6 - 0} + \binom{6}{1} {p}^{1} {q}^{6- 1} + \binom{6}{2} {p}^{2} {q}^{6 - 2} [/tex]

when a coin is tossed, the probability of getting both head (success) and tail (failure) are ½ which is why ,the variables, p and q are assigned to ½. therefore substitute

[tex] \rm\displaystyle P(X \leq 2) = \binom{6}{0} { \left( \frac{1}{2} \right) }^{0} { \bigg( \frac{1}{2} \bigg) }^{ 6- 0} + \binom{6}{1} { \bigg( \frac{1}{2} \bigg) }^{1} { \bigg( \frac{1}{2} \bigg) }^{6 - 1} + \binom{6}{2} { \bigg( \frac{1}{2} \bigg)}^{2} { \bigg( \frac{1}{2} \bigg) }^{6- 2} [/tex]

since p and q are the same. it won't make any difference to write all the product of p and q as (½)⁶:

[tex]\rm\displaystyle P(X \leq 2) = \binom{6}{0} { \bigg( \frac{1}{2} \bigg) }^{ 6} + \binom{6}{1} { \bigg( \frac{1}{2} \bigg) }^{6} + \binom{6}{2} { \bigg( \frac{1}{2} \bigg) }^{6}[/tex]

In the expression the term (½)⁶ is common thus factor it out:

[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left( \binom{6}{0} + \binom{6}{1} + \binom{6}{2} \right) [/tex]

calculate the combinations:

[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left(1+6+15\right) [/tex]

simplify addition:

[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left(22\right) [/tex]

simplify exponent:

[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{64}\bigg) } \left(22\right) [/tex]

simplify multiplication:

[tex]\rm\displaystyle P(X \leq 2) = \frac{22}{64} [/tex]

dividing yields:

[tex]\rm\displaystyle P(X \leq 2) = 0.34375 [/tex]

[tex]\rm\displaystyle P(X \leq 2) \approx 0.344 [/tex]

In conclusion

The answer is 0.344

Answer:

17 miles per gallon

Step-by-step explanation:

Divide 51 by 3. Here's a better way to understand it:

Create a ratio to represent miles to gallons: 51-to-3

To find the ratio of miles per gallon, it's implying x miles for 1 gallon. To get this x value, you divide both sides by 3.

51/3 = 17miles/gallon

Answer:

The answer is

x=³√6

semoga membantu

Answer:

r = 2L * a

Step-by-step explanation:

a= r/2L

then:

2L * a = 2L*r/2L

r = 2L * a

Answer:

The possible dimensions of the deck can be anything that adds up to be 130 m.

Step-by-step explanation:

The perimeter could be 1m x 64m.

Two sides would be 1m each (so 2m total) and the other two sides would be 64m each (128m total). 2 + 128 = 130m.

The perimeter could be 15m x 50m.

Two sides would be 15m each (so 30m total) and the other two sides would be 50m each (100m total). 30 + 100 = 130m.

Answer:

The order you placed it in at first was correct.

Step-by-step explanation:

Answer:

coxkyxkyxoydoyd

Step-by-step explanation:

kysoydoyxlhxlhxohxoudyodgufudytdxgchjvgufychvjugfychgifuyfchuguffychjbohihfydtxgbjjbhcvjgujfjfjf

Answer:

Step-by-step explanation:

A variable

Step-by-step explanation:

[tex](6x^2-5x+7)(3x+4)[/tex]

[tex]=(6x^2-5x+7)(3x)+(6x^2-5x+7)(4)[/tex]

[tex]=(6x^2)(3x)+(-5x)(3x)+(7)(3x)+(6x^2)(4)+(-5x)(4)+(7)(4)[/tex]

[tex]=18x^3-15x^2+21x+24x^2-20x+28[/tex]

[tex]=18x^3+9x^2+x+28[/tex]

Answer:

x²+5x

Step-by-step explanation:

You can make (f-g)(x) into (x) - (-x²-4x) because f(x)=x and g(x)=x²-4x

(x)-(-x²-4x) can simplify into x+x²+4x once you distribute the negative sign.

x+x²+4x simplifies into x²+5x.

So your final answer is x²+5x.

I hope it's right and this helps!

Answer:

plz describe whole question!!

Step-by-step explanation:

your question is incomplete

Answer:

Below,...!

Step-by-step explanation:

1 = Variable

2 = Exponent

3/4 = Coefficient

1. True

2. False

3. True

4. FaLSE

Answer:

Number 11 I doubt the answer is right or wrong so I made 2 answers. If you know the answer please tell me, so I understand

Answer:

I HOPE THE ABOVE PHOTO WILL HELP YOU A LOT.

[tex]\huge{\mathcal {{{\color{orange}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&5&8\\{\rm\:y}&2&0&2\end{array}}}}}}} [/tex]

[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]

If x is 2

Then ,

2x + 3y = 10

2(2) + 3y = 10

4 + 3y = 10

3y = 10 - 4

3y = 6

y = 6/3

y = 2

If y is 0

Then ,

2x + 3y = 10

2x + 3(0) = 10

2x + 0 = 10

2x = 10

x = 10/2

x = 5

If x is 8

Then ,

2x + 3y = 10

2(8) + 3y = 10

16 + 3y = 10

3y = 10 - 16

3y = -6

y = -6/2

y = -3

[tex]\huge{\mathcal{{{\color{blue}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&2&4\\{\rm\:y}& - 2&2& - 8\end{array}}}}}}} [/tex]

[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]

If x is 2

Then ,

3x - y = 4

3(2) - y = 4

6 - y = 4

-y = 4 - 6

-y = -2

If y is 2

Then ,

3x - y = 4

3x - 2 = 4

3x = 4 + 2

3x = 6

x = 6/2

x = 3

If x is 4

Then ,

3x - y = 4

3(4) - y = 4

12 - y = 4

-y = 4 - 12

-y = -8

Answer:

To South

Step-by-step explanation:

note the directions that are given on the left side

Answer:

यो त युनाइटेड स्टेट्स अफ अमेरिका हो।

Answer:

90 feet.

Step-by-step explanation:

2 sides are 50 feet long = 100 feet.

That leaves 280 - 100 = 180 feet.

So the length of the longer sides  are both 90 feet.

Answer:

An exponential function is a Mathematical function in form f (x) = ax.

[tex]f(x) = ax[/tex]

Step-by-step explanation:

where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

NoTe: The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

if u need any help, just tell me know

Answer:

When x takes the value of 4, the expression takes the value of 9.

Step-by-step explanation:

We are given that the expression:

[tex]\displaystyle ax^2 + bx + c[/tex]

Evaluates to 0, 1, and 4 when x = 1, 2, and 3, respectively.

And we want to determine the value of the expression when x = 4.

The expression evaluates to 0 when x = 1. In other words:

[tex]\displaystyle a(1)^2 + b(1) +c = a + b + c = 0[/tex]

We can complete the same for the other two:

[tex]\displaystyle a(2)^2 + b(2) + c = 4a + 2b + c = 1\text{ and } \\ \\ a(3)^2 + b(3) + c = 9a + 3b + c = 4[/tex]

This yields a triple system of equations:

[tex]\displaystyle \left\{ \begin{array}{l} a + b + c = 0 \\ 4a + 2b + c = 1 \\ 9a + 3b + c = 4 \end{array}[/tex]

Solve. We can cancel out the c by multiplying the first equation by negative one and adding it to both the second and the third:

[tex]\displaystyle \begin{aligned} (4a + 2b + c) + (-a - b -c ) &= (-0) + (1) \\ \\ 3a +b &= 1\end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned} (9a + 3b + c) + (-a - b -c) &= (-0) + (4) \\ \\ 8a + 2b &= 4\end{aligned}[/tex]

Solve for the two resulting equations. We can multiply the first by negative two and add it to the second:

[tex]\displaystyle \begin{aligned}(8a + 2b) + (-6a -2b) &= (4) + (-2) \\ \\ 2a &= 2 \end{aligned}[/tex]

Hence:

[tex]a = 1[/tex]

Solve for b:

[tex]\displaystyle \begin{aligned} 3a + b &= 1 \\ b&= 1 - 3a \\ b&= 1 - 3(1) \\ b &= -2\end{aligned}[/tex]

And finally, solve for c:

[tex]\displaystyle \begin{aligned} a + b + c &= 0 \\ (1) + (-2) + c &= 0 \\ c &= 1\end{aligned}[/tex]

Hence, our expression is:

[tex]\displaystyle x^2 -2x + 1[/tex]

Then when x = 4:

[tex]\displaystyle (4)^2 - 2(4) + 1= 9[/tex]

In conclusion, when x = 4, the resulting value is 9.

Answer:  List of prime numbers before 39: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.

Step-by-step explanation:

Answer:

la numerencia es

Step-by-step explanation:

39 1 5 68

Answer:

25 divide 7

Step-by-step explanation:

hope this helps you

Answer:

75/4 cups (or 18-3/4 cups)

Step-by-step explanation:

2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream

10 people ----> requires 5 times the amount of shaving cream needed for 2 people

Hence shaving cream is needed for 10 people

= 5 x 3 3/4 cups

= 5 x 15/4 cups

= 75/4 cups (or 18-3/4 cups)

lemme know if it helped <3. and lemme me know if it's right :) .!