Find x. Round the the nearest whole number

Answer:

B.    4.5 mi.

Step-by-step explanation:

Let g = length of green route

     b = length of blue route

(1)    6g + 5b = 52            (2)      12g + 13b = 119

Mult. (1) by -2                             -12g - 10b = -104

                                                             3b = 15

                                                                b = 5

       6g + 5(5) = 52

         6g + 25 = 52

         6g = 27

           g = 27/6 = 9/2

The length of the Green route is 4.5m and the length of the Blue route is 5m and this can be determined by forming the linear equation.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.

On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.

Let the length of the Green route be 'a' and the length of the Blue route be 'b' then on Monday bus traveled:

6a + 5b = 52   ---- (1)

On Tuesday the bus traveled:

12a + 13b = 119  ----- (2)

Now, solve the equation (1) for 'a'.

a = (52 - 5b) /6     ------ (3)

Now, put the value of 'a' in equation (2).

12 (52 - 5b) / 6 + 13b = 119

b = 5 m

Now, put the value of b in equation (1).

6a + 5b = 52  

a = 4.5 m

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Answer:

-27

5

10

-13

Step-by-step explanation:

-9*3=-27   -*+=-

-25/-5=5   -/-=+

7-(-3)=7+3=10  -(-)=+

-2+-11=-13   -+-=-

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2} [/tex]

Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] \frac{1}{16} [/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex]( \frac{1}{2}) {}^{4} \\ = \frac{1 {}^{4} }{2 {}^{4} } \\ = \frac{1}{2 {}^{4 } } \\ = \frac{1}{16} [/tex]

Answer:

17

Step-by-step explanation:

The image is not too clear. Let us assume we need the base AB

AB  = opposite

BC = hypotenuse

Sin theta = opp/hyp

Sin 37 = AB/BC

Sin 37 = AB/28

AB = 28sin37

AB = 28(0.6018)

AB = 16.85

AB ≈ 17

Hence the length of AB is 17

Answer:

(x + 2, y - 6)

Step-by-step explanation:

When you go right or up it is in the positive.

When you go left or down it is in the negatives.

Answer:

[see below]

Step-by-step explanation:

Two units to the right is adding 2 together to the x value.

6 units down is subtracting 6 from the y-value.

The rule should be:

[tex](x,y)\rightarrow(x+2,y-6)[/tex]

Hope this helps.

Answer:12

Step-by-step explanation:

Answer:

13 Reminder: 6

Hope this helps!

Answer:

13.857142

Step-by-step explanation:

if you continue from there you will see that you are just repeating yourself from where I wrote 60 then I went to 56 I'll just be repeating myself so I didn't continue I think it ends there.

Answer:

The answer is C

Step-by-step explanation:

Cause the visitors to the Act got more data

Answer: 20% does chores but don't get allowance (me)

Step-by-step explanation: 5 is 20% of 25.

Answer:

20%

Step-by-step explanation:

5 is 20% of 25

Answer:

$0.18

Step-by-step explanation:

setup proportion and solve for x:

[tex]\frac{12}{2.15} =\frac{1}{x} \\12x = 2.15\\x=0.17916 = 0.18[/tex]

Answer:

91 cubes

Step-by-step explanation:

518 cubes are needed to fill the right rectangular prism without gaps or overlaps.

"It is a prism whose all faces are rectangles."

The volume of a rectangular prism with length l, width w and height h is,

V = l × w × h

The volume of a cube having side length 'a' is given by,

[tex]V=a^3[/tex]

For given example,

The dimensions of a right rectangular prism are:

length : [tex]l=2\frac{1}{6}[/tex]

⇒ [tex]l=2.17[/tex] in.

width: [tex]w=1\frac{1}{6}[/tex]

⇒ [tex]w= 1.17[/tex] in.

height : h = 1 in.

So, the volume of a right rectangular prism would be,

⇒ V = l × w × h

⇒ V = 2.17 × 1.17 × 1

⇒ V = 2.5389 cu. in .

Now, the side lengths of a cube : [tex]a=\frac{1}{6}[/tex]

⇒ [tex]a=0.17[/tex]

So, the volume of a cube would be,

⇒ [tex]V=a^3[/tex]

⇒ V = (0.17)^3

⇒ V = 0.0049

Let, 'n' cubes are needed to fill the right rectangular prism without gaps or overlaps.

volume of a right rectangular prism = n × volume of a cube

⇒ 2.5389 = n × 0.0049

⇒ 2.5389/0.0049 = n

⇒ n = 518.14

⇒ n ≈ 518

Therefore, 518 cubes are needed to fill the right rectangular prism without gaps or overlaps

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Answer:

1 1/2 (1 + 1/2)

Step-by-step explanation:

3 2/3 * 3/4 is 2 3/4. 2 3/4 divided by 1 5/6 is 1 1/2.

Answer:

That fourth ordered pair is (4, -1)

Step-by-step explanation:

A rectangle is a set of permutations of x and y

x can either be -1, or 4

y can either be -1, or 1

the only one missing from this set is (4, -1)

Answer:

,,,,,,,,,,,,,,,,,,,,,,,

Answer:

the yellow one? not sure tho

Step-by-step explanation:

Answer:

the last one (pentagon)

Step-by-step explanation:

the triangle already has 3 vertices and 3 sides and if she wants to have 8 vertices and 8 sides in total, the second shape would have 5 vertices and 5 sides. therefore, it's the pentagon

Step-by-step explanation:

a^2 - 2(b + 12)

(-9)^2 - 2(-4 + 12)

81 - 2 (-4 + 12)

79 (-4 + 12)

79 × -4 + 79 × 12

-316 + 948

632

Answer:

Population after 6 hours is 2.44 *10^12

Step-by-step explanation:

The geometric population growth formula is

[tex]P = P_0 * e^{kt}[/tex]

Substituting the given values in above equation we get

[tex]P = 15 *10^6 * e^{2 * 6}\\P = 15 *10^6 * 162754.791\\P = 2.44 *10^{12}[/tex]

Population after 6 hours is 2.44 *10^12

Answer:

d.) x2+16x+64=36

Step-by-step explanation:

To find - Alicia is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?

a.) x2+81x+18=54

b.) x2−8x+24=17

c.) x2+9x−24=25

d.) x2+16x+64=36

Proof -

The correct answer is - d.) x2+16x+64=36

x2+16x+64=36

⇒x² + 8x + 8x + 64 = 36

⇒x(x + 8) + 8(x + 8) = 36

⇒(x+8)(x+8) = 36

⇒(x+8)² = 36

Take square root both sides, we get

√(x+8)² = √36

⇒x + 8 = ± 6

⇒x + 8 = 6, x + 8 = -6

⇒x = 6 - 8 , x = -6 - 8

⇒x = -2, -14

So,

Equation (4) allows her to do the following thing she ants.

Answer:

A. Because

Step-by-step explanation:

[tex] \frac{3 - 2}{ - 1 - 2} = \frac{1}{ - 3} [/tex]

Answer:

$276  

Step-by-step explanation:

Given that

Last week Lola made 32kg of different kind of bun

The quarter of the bun sold at $9 per kilo

And, the rest would be sold at $8.5 per kilo

We need to find out the amount that should be collected in total from the sale

A quarter of the 32 buns is 8 buns

And, the half of 32 is 16, and half of 16 is 8.

Now If he sold those 8 buns for $9

So, the total amount is

= (8 buns) ($9)

= $72

Now the remaining buns left is

= 32 - 8

= 24 buns

It would be sold at $8.50

So, the total amount is

= (24) ($8.50)

= $204

Now the final amount is

= $204 + $72

= $276  

The question is incomplete and the value or fraction of the amount of fraction of pizza eaten for dinner isnt Given. Assume the fraction of pizza eaten for dinner = p

Answer:

Kindly check explanation

Step-by-step explanation:

To solve the problem above;

Amount of pizza eaten for dinner = (fraction eaten * total size of pizza)

Amount of pizza eaten for dinner = 16 * p = 16p

Amount of pizza crust left :

(Total size of pizza crust - Amount of pizza eaten for dinner)

Amount of pizza crust left = 16 - 16p

Note that this is just an hypothetical solution because the value represented as p was omitted in the question.

Simply substitute p in the solution with it's exact value to obtain the exact amount of pizza crust left.

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

Step-by-step explanation:

Answer:

35 sq units

Step-by-step explanation:

Answer:

12.3456790123

Step-by-step explanation:

its hard to explain but you could always use a clculator and no I did not use one. But these are hard I'm a math major

       1 2 . 3 4 5 6 7 9

1 2 9 6 | 1 6 0 0 0 .      

1 2 9 6        

3 0 4 0 .      

2 5 9 2 .      

4 4 8 . 0    

3 8 8 . 8    

5 9 . 2 0    

5 1 . 8 4    

7 . 3 6 0  

6 . 4 8 0  

8 8 0 0  

7 7 7 6  

1 0 2 4 0

9 0 7 2

1 1 6 8 0

1 1 6 6 4

1 6

Answer:

-8

Step-by-step explanation:

-7+-3+4+1+-2+-8+7=-8divided by7=-1

Answer:

5.375 quarts

1.625

Step-by-step explanation:

determine amount of quarts of latex per square feet = 5/200 = 0.025

quart for 215 = 0.025 x 215 = 5.375 quarts

quart for 65 = 65 x 0.025= 1.625

The percentage change or increase of dessert sales has changed by 25%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, In the month of January, you were able to sell 1,200 desserts and

In February, your dessert sales increased to 1,500.

So, The net amount increase is (1500 - 1200) = 300.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (300/1200)×100%.

= (300/12)%.

= 25%.

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Answer:

a) length of sides remain unchanged

Step-by-step explanation: