Jim rented a truck for one day. there was a base fee for $19.95 and there was an additional charge of 91 cents for each mile driven. Jim had to pay $243.81 when he returned the truck. For how many miles did he drive the truck?

The solutions to the equation [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex] are 3 and -5.

To solve any equation is to find the solution of the given equation which satisfied the equation.

The given expression is [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex]

let u = (x +2)

then the equation becomes

[tex]\rm u^{2} - 2u - 15 = 0[/tex]

by factorizing, we get

(u + 3)(u - 5) = 0

u + 3 = 0, u = -3

u - 5 = 0, u = 5

Since, u = x + 2

So, x + 2 = 5, x = 3

x + 2 = -3, x = -5

Therefore, the solutions to the equation are 3 and -5.

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Answer: 15 mins

Step-by-step explanation:

20 ÷ 8 = 2.5 (how many Mins 1 part takes)

2.5 x 6 = 15

It will take 15 minutes does it take to make 6 parts.

The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

If 8 parts take 20 minutes to make then 1 part take x time which is equal to;

[tex]\rm x=\dfrac{20}{8}\\\\x= 2.5 \rm \ minute[/tex]

One part takes 2.5 minutes.

The minutes does it take to make 6 parts are;

[tex]= 6 \times 2.5\\\\=15[/tex]

Hence, it will take 15 minutes does it take to make 6 parts.

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It takes the diver 5 s to reach the water.

These are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)

Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.

The diver reaches the top of the water when f(x) = 0.

So, equating f(x) to zero, we have

f(x) = 0

-2(x-5)(x+1) = 0

Dividing through by -2, we have

(x-5)(x+1) = 0

So, (x - 5) = 0 or (x + 1) = 0

x = 5 or x = -1

Since time cannot be negative, x = 5 s.

So, it takes the diver 5 s to reach the water.

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Answer:

r 4    3.99797

Step-by-step explanation:

Hey ! there

Answer:

Step-by-step explanation:

In this question we have given that a circle have a circumference of 25.12 . And we are asked to find the radius of the circle .

We have to solve this question with the help of circumference formula for circle that is ,

[tex] \qquad\: \quad\underline{\boxed{ \frak{{Circumference_{(Circle)} = 2\pi r}}}}[/tex]

Where ,

Solution : -

For solving the question we must have to substitute value of π , radius and then we have to equate it with given circumference that is 25.12. So ,

[tex] \longmapsto \qquad \:\: 2 \times 3.14 \times r = 25.12[/tex]

Step 1 : By multiplying 2 , 3.14 and r , We get :

[tex] \longmapsto \qquad \: \:6.28r = 25.12[/tex]

Step 2 : Dividing with 6.28 on both sides :

[tex] \longmapsto \qquad \: \: \dfrac{ \cancel{6.28}r}{ \cancel{6.28}} = \cancel{\dfrac{25.12}{6.28} }[/tex]

On further calculations, We get :

[tex] \longmapsto \qquad \: \: \pink{\underline{\boxed{ \frak{r = 4}}}}[/tex]

Verifying : -

Now we are verifying our answer by finding the circumference of circle and equating it with 25.12 and if it will equal to 25.12 then our answer is correct . So ,

Therefore our answer is correct .

Please Note : We aren't using any unit for the values because in the question no units are provided .

Answer:

16

Step-by-step explanation:

Let's give letters as the image. Triangle ABH is a right triangle, so you can apply pythagoream theorem. In particular, it's the classic "3-4-5" triangle (there are some triplets of integers that gives you a right triangle, and 3-4-5 is the most famous). Either way, the height of the triangle is 4.

At that point you can compute the area by multiplying base and height, and the total surface is 16.

Answer:

its 60

Step-by-step explanation:

i took the test

Answer:

60

Step-by-step explanation:

just took the test !!! got 100%

Answer:

C

Step-by-step explanation:

First, let's work out the two triangles:

Area of triangle: bxh/2

2 x 8/2 = 8

Because there is two triangles multiply 8 by 2 = 16

To work out the area of the central rectangle:

Area of rectangle: l x w

3 x 8 = 24

Add 16+24 = 40 square feet

Answer:

See below ↓

Step-by-step explanation:

a. Graph shown Below.

b.

domain : x ≥ 0

range : f(x) ≥ 0

c.

rate of waves:

[tex]\sf f(x) = 3.13\sqrt{x}[/tex]

the wave is 10 m above the sea

[tex]\sf f(x) = 3.13\sqrt{10}[/tex]

[tex]\sf f(x) = 9.9 \ m/s[/tex]

Answer:

115.5

Step-by-step explanation:

area of the square: (20-7) x 7 = 13x7 = 91

area of triangle: 7x7 / 2 = 49/2 = 24.5

total area = 91+24.5

= 115.5 in

I'm not sure, but I'm guessing it's this.

Answer: 276 grams.

Step-by-step explanation:

Answer:

w + 2.56 ≥ 10.24

Step-by-step explanation:

The least w + 2.56 could be is 10.24 which means that w + 2.56 could be more than 10.24

Answer: Best answer gets brainliest!

Step-by-step explanation:

Add the amount of students together!

Hopefully this helps you!

-Keira

First, let's check how many 7th grade students take the bus.

On the graph, find "7th grade"

There are 90 7th grade students taking the bus.

Same with the 8th grade:-

120 students

How many 7th & 8th grade students take the bus?

The sum of the 7th grade students & the 8th grade students is your answer.

So, add:-

[tex]\sf{90+120}[/tex]

[tex]\bigstar{\boxed{\pmb{210~students}}\longleftarrow\sf{Option~B~is~correct}}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

A rectangle with area of 12 square units would have sides of length 4 units and 3 units. Area would therefore be 4 x 5.

A rectangle must be such that one side is longer than the other side.

The area of a rectangle is found as:

= Length x Width

As the area is 12, the length and width have to be numbers that when multiplied, will give you 12.

The factors of 12 which allow this to happen are:

= 1, 2, 3, 4, 6, 12

From here you can use 3 and 4.

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Answer:

  360 inches

Step-by-step explanation:

Each foot is 12 inches. The number of inches in 30 feet is found by multiplying the number of inches in 1 foot by 30.

  30 × (12 inches) = 360 inches

The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit

Apothemis a line segment from the center to the midpoint of one of the sides of a regular polygon .

The length of apothem (a) is given by:

[tex]a=\frac{s}{2*tan(\frac{180}{n} )} \\\\Where\ n\ is\ number\ of\ sides\ and\ s=side\ length\\\\Given:\\n=5,s=6, hence:\\\\a=\frac{6}{2*tan(\frac{180}{5} )}=4.13[/tex]

The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit

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The gecko is about 10⁵ times bigger than the mite in length.

An equation is an expression that shows the relationship between two or more numbers and variables.

1 cm = 10 ml

The dust mite measures 10⁻³ ml. The gecko measures 10 cm

Length of gecko = 10 cm = 10 cm * 10 ml per cm = 100 ml

Magnitude of gecko to mite = 100 ml / 10⁻³ ml = 10⁵

The gecko is about 10⁵ times bigger than the mite in length.

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Answer:

it is 5

Step-by-step explanation:

Hey there!

Solving

3x - 4 = 5

Add 4 to both sides

3x - 4 + 4 = 5 + 4

3x = 9

x = 9/3

x = 3

Equivalent expressions are:

1. 3x = 9

2. 3x - 4 + 4 = 5 + 4

3. 4 = 5 - 3x

If you're confused about the last one

Solving

−4=5−3x

Step 1: Simplify both sides of the equation.

−4=5−3x

−4=5+−3x

−4=−3x+5

Step 2: Flip the equation.

−3x+5=−4

Step 3: Subtract 5 from both sides.

−3x+5−5=−4−5

−3x=−9

Step 4: Divide both sides by -3.

−3x/−3 = −9/−3

x=3 (Still the same answer)

Answer:

el menor es -4 :) porque entre más izquierda esté el número en la recta menor es (ejemplo en la foto). negativos siempre son menor que positivos :D

Answer:

1/13

Step-by-step explanation:

Knowing that:

In a deck of card half of the deck of card are red: 1/2  

Also means 52/2 = 26

There are 2 red 10 in a deck of card.

Solve:

Since there are 2 red 10 in a deck of card and half of the deck of 52 card are red also known as 26.

Thus, the probability of getting a red 10 is 2/26. As you can see that not a answer choice. That because 2/26 is a even number as well as it means that it can be simplify.

GCD (or HCF) of 2 and 26 is 2.

Therefore, divide both by 2.

2/2 = 1

26/2 = 13

Hence, we can see that the simplify form is 1/13.

As a result, the probability of getting a red 10 is 1/13.

~lenvy~

Answer:

3

Step-by-step explanation:

could the length of the first triangle to the length of the second triangle

Hey there!

Complementary angles add up to 90 degrees.

We are given

An angle of 79 degrees

and we're asked to find the complement of the angle.

So let's set up an equation:

79+x=90

where x=the unknown angle

Subtract 79 from both sides:

79-79+x=90-79

x=11

Hence, the measure of the unknown angle is

[tex]\boxed{\boxed{\bold{11}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningIsFun

[tex]\rule{200}{2}[/tex]

(b) 11°

The sum of two angles is equal to 90 degrees.

Here, one angle is 79°

steps:

Answer:

The answer is yes, because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

Step-by-step explanation:

Step 1:2⋅10⋅10⋅10⋅10⋅10⋅10 = 20⋅10⋅10⋅10⋅10⋅10 = 200⋅10⋅10⋅10⋅10 = 2,000⋅10⋅10⋅10 = 20,000⋅10⋅10 = 200,000⋅10 = 2,000,000​Step 2:Because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

The percentage of cupcakes sold that day were mocha flavoured will be 57%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The percentage will be calculated as:-

P  =  171  /  300

P =   0.57

P   = 0.57  x  100

P  = 57%

Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.

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Answer:

Hope this helps :-)

Step-by-step explanation:

Answer:

4b

Step-by-step explanation:

2b+3b-b-7+4+3

4b

I hope this answered it

I believe that y is equal to -5.

y=-5

Answer:

[tex]a_{n}[/tex] = 5n - 2

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₄ = 18 and a₁₀ = 48 , then

a₁ + 3d = 18 → (1)

a₁ + 9d = 48 → (2)

subtract (1) from (2) term by term to eliminate a₁

6d = 30 ( divide both sides by 6 )

d = 5

substitute d = 5 into (1) and solve for a₁

a₁ + 3(5) = 18

a₁ + 15 = 18 ( subtract 15 from both sides )

a₁ = 3

Then

[tex]a_{n}[/tex] = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2

Using proportions, it is found that the actual cost of each pineapple is of $2.12

A proportion is a fraction of a total amount.

In this problem, considering that the waste factor is of 15%, the total price should be of:

P = 0.85 x $14.95 = $12.7075.

For a case of 6 pineapples, hence the price of each is given by:

Pp = $12.7075/6 = $2.12.

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The actual cost of each pineapple with a waste factor of 15% is $12.71

An equation is an expression that shows the relationship between two or more numbers and variables.

The cost of one case of fresh pineapples is $14.95 and the calculated waste factor is 15 percent. Hence:

Actual cost = 14.95 - 15% of 14.95 = $12.71

The actual cost of each pineapple with a waste factor of 15% is $12.71

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Since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

To find vector v in component form, we need to know what a vector is

A vector is a physical quantity that has both magnitude and direction.

A vector can be resolved into perpendicular components along the x, y and z axis.

Since vector v has a magnitude of 4 making an angle of 30 with the positive x - axis, its x-component is V = (vcos30°)i

= (4cos30°)i

= (4 × √3/2)i

= 2√3i.

The y-component of v is V' = (vsin30°)j

= (4 × sin30°)j

= (4 × 1/2)j

= 2j

So, vector v in component form is v = V + V'

= 2√3i + 2j

So, since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

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The figure can be divided into a triangle and a rectangle.

The area of a triangle is 10 sq inches.

The area of a rectangle is 80 sq inches.

The total area of the figure is 90 sq inches.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

The figure can be divided into a triangle and a rectangle.

The height of the triangle is 2 inches and the base is 10 inches.

We know the area of a triangle is (1/2)×base×heiht.

∴ Area = (1/2)×10×2 sq inches.

Area = 10 sq inches.

We know the area of a rectangle is length×width.

∴ Area = (10×8) sq inches.

Area = 80 sq inches.

The total area of the figure is (10 + 80) sq inches = 90 sq inches.

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