2. Locate fire stations so that each district has a fire station in it or next to it, formulate this problem to minimize the number of fire stations needed. ​

[tex]\\(1).\\\\(1.7898)^{2x} = (1.7898)^6\\\\\implies \ln(1.7898)^{2x} = \ln(1.7898)^6\\\\\implies 2x \ln(1.7898) = 6 \ln(1.7898)\\\\\implies 2x =6\\\\\implies x = \dfrac 62 =3\\\\(3).\\\\2^{5x -6} = 4^{x+9}\\\\\implies 2^{5x -6} = (2^2)^{x+9}\\\\\implies 2^{5x-6} = 2^{2x+18}\\\\\implies \ln(2^{5x-6}) = \ln(2^{2x+18})\\\\\implies (5x -6) \ln 2 = (2x +18) \ln 2\\\\\implies 5x -6 = 2x +18\\\\\implies 5x -2x = 18 +6\\\\\implies 3x = 24\\\\\implies x = \dfrac{24}3 =8[/tex]

Answer:

7.68$

Step-by-step explanation:

2+(1/12)=2.08

16/2.08=7.68

Answer:

6.4

Step-by-step explanation:

Answer:

Mr. Pham should expect about 45165 books to have no damage or minor damage.

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation:

Answer:

4 grams

Step-by-step explanation:

Answer:

-14x

Step-by-step explanation:

[tex]\qquad[/tex]____________________

It’s given–

[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x+( x +2)+(x+4) = 42} }[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x +6 =42[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x = 42-6[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x =36[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel {\dfrac{36}{3}}[/tex]

[tex]\qquad[/tex][tex]\pink{ \bf\longrightarrow x = 12}[/tex] ( which is our lowest integer.)

[tex]\qquad[/tex]____________________

Given :

[tex] \: [/tex]

Solution :

Let us assume the three consecutive even numbers be "x" , "(x + 2)" and "(x + 4)" . Here x is the smallest number .

So,

According to the Question :

x + (x + 2) + (x + 4) = 42

⇢x + x + 2 + x + 4 = 42

⇢ x + x + x + 2 + 4 = 42

⇢ 3x + 6 ⠀⠀⠀⠀⠀ = 42

⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 42 - 6

⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 36

⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀= 36/3

⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀ = 12

Hence, 12 is the smallest consecutive even number.

Answer:

y  <  −  2/3x  −  1

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

you will use multiplication

3(packages of pencils)×6(pencils)=18pencils

so she will need 18 erasers for each pencil

Answer:

about two clams per person

Step-by-step explanation:

Answer:

It is 1.5 lb per serving.

Step-by-step explanation:

Well, this is just a matter of proportions.

Here is our current proportion:

150lb

---------

100 guests

Now, all we need to do is make it per one guest.

150lb     =      x lb

-----------      ---------------

100 guests = 1 guest

Now, to get from 100 to 1, I divided by 100, right?

So, because this is a ratio, and it needs to be proportional, we do the same for 150.

150/100=1.5.

It is 1.5 lb per serving.

Answer:

23 measure

Step-by-step explanation:

because 56/7 = 8

so 104/8=23

Answer:

13 measures

Step-by-step explanation:

for every 7 measures, there is 56 beats. and if you want to find out how many beats there are per measure, you would do 56 ÷ 7 = 8.

Now that you've found thay there are 8 beats per measure, you would divide 104 by 8 to find out how many measurs there are.

104 ÷ 8 = 13

Answer: Carol bought 4 pounds(lb) of meat.

Explanation: 0.32 x 5 = 1.60, and 0.8 x 3 = 2.40, and 1.60 + 2.40 = 4.

The weight of the meat bought by Carol is 4 pounds.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that Carol bought 5 pork chops and 3 steaks. Each pork chop weighed 0.32 pounds and each steak weighed 0.8 pounds.

The weight of the meat will be calculated as:-

0.32 x 5 = 1.60,

0.8 x 3 = 2.40,

Total weight,

1.60 + 2.40 = 4 pounds

Therefore, the weight of the meat bought by Carol will be 4 pounds.

To know more about an expression follow

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Answer:

9,4,-1,-6,-11

Step-by-step explanation:

When n = 1: a(1+1) =a(1) +1

                   a(2) = -9 +1

                   a(2) = -8

When n = 2: a(2+1) =a(2) + 2

                   a(3) = -8 + 2

                    a(3) = -6

When n = 3: a(3+1) = -6 + 3

a(4) = -3

[tex]3(x+9)-4x=11x-13x+23\\<=>3x+27-4x-11x+13x-23=0\\<=>x+4=0\\<=> x= -4[/tex]

Answer: this's true statement.

ok done. Thank to me :>

Answer: make me brainlist

Step-by-step explanation: 1.1 x

Answer:

Slope-intercept form: y = -3x/5 - 3

Point slope form: y = -3/5 (x + 5)

Standard form: 5y + 3x = -15

Step-by-step explanation:

Using points (-5, 0) and (0, -3)

Gradient of the line = (-3-0)/(0+5)

= -3/5

Slope intercept form; y = mx + c

when x= 0 , y = -3

therefore intercept on y axis = - 3

y= -3x/5 - 3

Point slope form: y - y1 = m (x - x1)

y - 0 = -3/5 (x + 5)

y= -3/5 (x+5)

Standard form: ax + by = c

y= -3/5 (x + 5)

5y = -3(x + 5)

5y= -3x - 15

5y + 3x = -15

is it like mutiplying and dividing

The area of the rectangle that has side lengths of 7 yards and 3 yards is 21 square yards.

Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.

To find the area of the rectangle that has side lengths of 7 yards and 3 yards, use the formula as described below,

the area of the rectangle = length x width of the rectangle.

Substituting the value of the side lengths to the formula,

The area of the rectangle = 7 x 3

The area of the rectangle = 21 square yards.

Therefore, the area is 21 square yards.

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Answer:

[tex]110 + 11w[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]11(10 + w)[/tex]

[tex](11 * 10) + (11 * w)[/tex]

[tex]110 + 11w[/tex]

Answer:  [tex]110 + 11w[/tex]

Answer:

x=1.88

Step-by-step explanation:

Answer:

NOT CONGRUENT

Step-by-step explanation:

Angle Side Side doesnt work so it is not congruent

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Answer:

i hope you'll understand

Step-by-step explanation:

[tex] - x - 2y = 5 \\ 3x + 2y = 9 \\ - x - 2y - 5 = 3x + 2y - 9 \\ - 4x - 4y - 4 = 0( \div by \: - 1) \\solution 4x + 4y = 4[/tex]

common difference=d=43-39=4

We need first term a

[tex]\\ \sf{:}\dashrightarrow a_5=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+4d=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+4(4)=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+16=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a=27[/tex]

Answer:

A

Step-by-step explanation:

You have two increments of -5, so you know that 2 x -5 = -10. You know it is negative 10 because it is going to the left.

Hope this helps!

Answer:

DO YOURE WORK!

Step-by-step explanation:

Please.

Answer:

  687, 688, 689, 690, ...

Step-by-step explanation:

Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...

  687, 688, 689, 690, ...