Luis helped raise money for his school by jogging in the school jog-a-thon. The total
amount of money he raised can be represented by the expression 1.75m, where mis
the number of miles he jogged. If Luis raised a total of $21, how many miles did he jog?

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Work Shown:

2x+108 = 180

2x+108-108 = 180-108

2x = 72

2x/2 = 72/2

x = 36

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Notes:

Given : There is a line . It is divided into two parts by another line such that it forms two angles on two sides of the angle which are 2x° and 108° .

To Find : The value of x .

Solution : Given that the two angles are 2x and 108° . So , we know that the measure of a straight line is 180° . So the sum of the two angles will be also equal to 180°. That is ;

[tex]\large\boxed{\red{\bf \angle 1 + \angle 2= 180^{\circ}}}[/tex]

⇒ 2x° + 108° = 180° .

⇒ 2x° = 180° - 108° .

⇒2x° = 72°.

⇒ x =[tex]\sf \dfrac{72}{2}[/tex]

⇒ x = 36° .

Hence the value of x is 36° .

Answer:

[tex] length = 12 ft [/tex]

[tex] width = 8 ft [/tex]

Step-by-step explanation:

Earl's garden:

[tex] length = (x + 6) ft [/tex]

[tex] width = (x + 2) ft [/tex]

[tex] perimeter = 2(length) + 2(width) [/tex]

[tex] perimeter = 2(x + 6) + 2(x + 2) [/tex]

[tex] perimeter = 2x + 12 + 2x + 4 = (4x + 16) ft [/tex]

Dylan's garden:

[tex] length = (2x - 2) ft [/tex]

[tex] width = (x + 4) ft [/tex]

[tex] perimeter = 2(length) + 2(width) [/tex]

[tex] perimeter = 2(2x - 2) + 2(x + 4) [/tex]

[tex] perimeter = 4x - 4 + 2x + 8 = (6x + 4) ft [/tex]

Generate an equation to solve for the value of x.

Since the perimeters of both gardens are the same, therefore:

[tex] 6x + 4 = 4x + 16 [/tex]

Collect like terms

[tex] 6x - 4x = - 4 + 16 [/tex]

[tex] 2x = 12 [/tex]

Divide both sides by 2

[tex] x = 6 [/tex]

Earl's garden:

[tex] length = (x + 6) ft [/tex]

Plug in the value of x

[tex] length = 6 + 6 = 12 ft [/tex]

[tex] width = (x + 2) ft = 6 + 2 = 8 ft [/tex]

Answer:

l: 12ft

w: 8ft

Step-by-step explanation:

Answer:

17,19,9.5

Step-by-step explanation:

Answer:

His answer is wrong.

Step-by-step explanation:

-4(6-R)=12  <-- Since R is negative, -4 times -R results in a positive so, 4R.

-24+4R=12

+24       +24

--------------------

4R = 36

R= 9

Answer:

x^2 - 6x + 25

Step-by-step explanation:

( x + 1 ) ^2 -8( x - 1 ) + 16

undo the square

x^2 + 2x + 1 -8(x - 1) + 16

distribute

x^2 + 2x + 1 -8x + 8 + 16

simplify

x^2 - 6x + 25

Answer:

$0.1 /lb.

Step-by-step explanation:

First, divide 1.99 by 19. You get 0.1047368421. To round it to the nearest hundred, look to the number 3 points away from the decimal, which is number 4. Since it is not 5 or greater, we round it down, and it would round down to 0.1.

Answer:

a. 1/5

b. (3, 3/5)

c. 1/5x = y

Step-by-step explanation:

Remember: (x, y)

0.5 = 1/2

(1/2, 1/10) = 1/10 ÷ 1/2 = 1/10 • 2 = 1/5, you can divide y/x = constant of proportionality. 1/10 ÷ 1/2.

1 2/5 = 7/5

(7, 7/5) = 7/5 ÷ 7 = 7/5 • 1/7 = 1/5, y/x = constant of proportionality. 7/5 ÷ 7.

Answer:

14

-25/1

Step-by-step explanation:

The variable x is a placeholder for a number

Let's say we replace x with 0

y = 2x+3

y = 2(0)+3

y = 0+3

y = 3

This means x = 0 and y = 3 pair up together. In short, the point (0,3) is on the line.

--------------

Let's repeat for x = 1

y = 2x+3

y = 2(1)+3 ... replace x with 1

y = 2+3

y = 5

So (1,5) is another point on the line

---------------

We can keep this process going to generate as many points as we want. But to graph a linear equation like this, we only need two points at minimum.

Graph both (0,3) and (1,5). Then draw a straight line through them both. The graph is shown below.

Answer:

20

Step-by-step explanation:

we can see that there are already answers for 2 which is six 6+6=12 now we can see that a triangle look the same as the six over the 8mm so that must be six so 6+6+6=18 now there is still s little section missing over the 8mm (the half triangle half square) is missing a section we can see that the perimeter is 8 and the area is 6 and 6+2=8 so that little area is 2 so 6+6+6+2=20

Answer:

D ≈ 28 or D = [tex]\frac{88}{\pi }[/tex]

Step-by-step explanation:

D = C / [tex]\pi[/tex]

D = 88 / [tex]\pi[/tex]

OR

D = 88 / 3.14

D ≈ 28

Answer:

896 i think

Step-by-step explanation:

Answer:

A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x–2" (pronounced as "ecks to the minus two") just means "x2, but underneath, as in 1 x 2 \frac{1}{x^2} x21 ".

Step-by-step explanation:

Answer:

-50

Step-by-step explanation:

A negitive number would mean debt or owed. A positive number would be a credit of a number.

Answer:

(3x - 3)(x + 2)

Step-by-step explanation:

3x^2 + 3x - 6

(3x^2 + 6x)(-3x - 6)

3x(x + 2) -3(x + 2)

(3x - 3)(x + 2)

Answer:

x=-4

Step-by-step explanation:

You wrote the answer in the question, so there is really no question.

How it helps :)

Answer:

21 kids have to go on the trip to make the museum a better deal

Step-by-step explanation:

Zoo: y=10x+100

Museum: y=5x+200

10x+100=5x+200

5x=100

x=20

When 20 kids go on trip the costs will be the same. Therefore, once 21 kids go the museum will be cheaper then the zoo as it is increasing at a rate of 5 dollars

Answer: 11/3

Step-by-step explanation:

Answer:

He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.

Step-by-step explanation:

Orange Juice:

3 cups / 3/4 cups = 12/3 = 4

Pineapple Juice:

1/3 × 4 = 4/3 cups= 1  1/3 cups

Answer:

3

Step-by-step explanation:

the answer

Answer:

2/3 is equal to .6 repeating

Step-by-step explanation:

also youre not dumb :)

Answer:

4  1/9

Step-by-step explanation:

so if we make the fraction the same having 7 4/9 and 3 1/3

we would then make 1/3 into 3/9 (its the smae thing not simplified)

subtract 7-3=4

4-3=1

and then simplify the fraction

Answer: 692

Step-by-step explanation:

First you see the numbers and u need to see which is the ones, tens, and hundreds and when u find the hundreds u can round it

Answer:

20

Step-by-step explanation:

skip count by 2

Answer:

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

a is one leg of the right triangle.

b is another left of the right triangle.

c is the hypotenuse of the right triangle.

We use the Pythagorean Theorem to help us solve for missing side lengths of a right triangle.

Take that back, please delete this question.

Answer:

i beleive its b or d

Step-by-step explanation:

mostly b

Answer:

-1/4

Step-by-step explanation:

because its going up one over 4 and the lines negative!

Answer:

-1/4

Step-by-step explanation:

The slope is going down towards the right so it's negative. Rise-1 and you Run-4 so the answer is -1/4. Hope this helps :)

Answer: 1. densities

2. i don’t have the passage but i assume it to be A or D

3. it will sink so A

Step-by-step explanation:

the density must be lower than 1 g/cm3 for it to float

Answer:

$11. 40

Step-by-step explanation:

(3×2.70)+3.30=8.10+3.30=$11.40

Answer:

11.40 dollars

Step-by-step explanation:

(2.70*3)+(3.30*1)=

8.10+3.30=

$11.40