Henry rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 71 cents for each mile driven. Henry had to pay
$144.33 when he returned the truck. For how many miles did he drive the truck?

Answer:

Step-by-step explanation:

1. 6 L = 6000 mL

2. 54000 mL = 54 L

3. 11000 mL = 11 L

4. 13 L = 13000 mL

5. 23500 mL = 23.5 L

6. 0.201 L = 201 mL

Answer:

1. = 6000 ML 2.= 13000 ML 3.= 54 L 4.= 23.5 L 5.= 11 L 6.= 201 ML

Step-by-step explanation:

too find answer for ML divide it by 1000

and for L multiply it by 1000

Answer:

I think its C

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

Cylinder B

Step-by-step explanation:

V = [tex]\pi r^{2} h[/tex]

Cylinder A : π × 3² × 5 = 141.37

Cylinder B: π × 5² × 3 =235.62

Answer:

D

Step-by-step explanation:

18(Side of HIJK)/6(Corresponding side of STUV) = 1/3

Answer:

d

Step-by-step explanation:

Answer:

Third option.

Hope it helped.

Answer:

$51.75

Step-by-step explanation:

15% of 45 or .15*45 will equal $6.75. Then you add that onto the $45 and you'll get your anwser, $51.75.

Answer:

4/3 or 1 and 1/3

Step-by-step explanation:

4 * 1/3. You would do 4*1 over 3, which gives you 4/3.

Answer:

Step-by-step explanation:

1) (x + 5)(x + 8)

=x(x +8)+5(x + 8)

=x^2+8x+5x+40

=x^2+13x+40

2)(x-1)(x+3)

=x(x+3)-1(x+3)

=x^2+3x-1x-3

=x^2+2x-3

3)(x-2)(x+9)

=x(x+9)-2(x+9)

=x^2+9x-2x-18

=x^2+7x-18

4)(2x+2)(x+9)

=2x(x+9)+2(x+9)

=2x^2+18x+2x+18

=2x^2+20x+18

5)(x-7)(3x+2)

=x(3x+3)-7(3x+2)

=3x^2+3x-21x-14

=3x^2-18x-14

NUMBER 1

(x + 5)(x + 8)

- factor the x

=x(x +8)+5(x + 8)

-Distribute

=x^2+8x+5x+40

-Combine like terms

=x^2+13x+40

-Final answer

NUMBER 2

(x-1)(x+3)

-Factor

=x(x+3)-1(x+3)

-Distribute

=x^2+3x-1x-3

-Combine like terms

=x^2+2x-3c

NUMBER 3

(x-2)(x+9)

-Factor

=x(x+9)-2(x+9)

-Distribute

=x^2+9x-2x-18

-Combine like terms

=x^2+7x-18

-Final answer.

NUMBER 4

(2x+2)(x+9)

-Factor

=2x(x+9)+2(x+9)

-Distribute

=2x^2+18x+2x+18

-Combine like terms

=2x^2+20x+18

-Final answer.

NUMBER 5

(x-7)(3x+2)

-Factor

=x(3x+3)-7(3x+2)

-Distribute

=3x^2+3x-21x-14

-Combine like terms

=3x^2-18x-14

-Final answer.

Answer:

Step-by-step explanation:

The side opposite to the biggest angle be longest side.

110 + 28  + ∠H= 180  { sum of all angles of triangle }

138 + ∠H = 180

∠H= 180 -138

∠H = 42°

Shortest side is opposite to 28°    =====> FH

Next shortest side is opposite  to  42°  =========> GF

The longest side is opposite to 110°   =======> GH

The answer is:

FH , GF , GH

Answer:

FH , GF , GH

Step-by-step explanation:

Answer:

a) The graph is a horizontal shift of the parent function 2 units right.

Step-by-step explanation:

Explanation:-

Type of transformation                       Change to co-ordinate point

Vertical translation up 'd' units                   (x,y) →(x ,y+d)

Vertical translation down 'd' units               (x,y) →(x ,y- d)

Horizontal translation left 'c' units               (x,y) →(x-c ,y)

Horizontal translation right 'c' units            (x,y) →(x+c ,y)

Reflection over X-axis                                   (x,y) →(x ,-y)

Reflection over y-axis                                    (x,y) →(-x ,y)

Given graph  f(x)  = √x

The graph is a Horizontal shift of the parent function  '2' units  right

Therefore the transformation of the graph [tex]y = \sqrt{x+2}[/tex]

Answer:

The x-coordinate of A is:

a = 6.1

Step-by-step explanation:

For point A:

x-coordinate = a

x-coordinate + y-coordinate = 14

y-coordinate = 14 - x-coordinate

y-coordinate = 14 - a

So point A can be written as (a, 14-a)

Let (a,14) be (x₁,y₁)

Point P can be written as (3a, a²+13a-11)

Let P be (x₂,y₂)

Slope of a line passing through 2 point is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m=7

Substitute all values

[tex]7=\frac{(a^2+13a-11)-(14-a)}{3a-a}\\7=\frac{a^2+13a-a-11-14}{3a-a}\\7=\frac{a^2+12a-25}{2a}\\14a=a^2+12a-25\\a^2-2a-25=0\\a=6.1,a=-4.1[/tex]

As A has only positive coordinates

a = 6.1

Answer:

-12°F o -11°F.

Step-by-step explanation:

We have two statements, which are the following:

- the temperature In Pittsburgh Is -13 ° F

- the temperature in Cleveland Is-10 ° F

Then they tell us, "the temperature in Chicago is higher than the temperature in Pittsburgh"

Which means that the statement that helps us is the first, which is the one that tells us about Pittsburgh, now, a higher number since it is a higher temperature, we know that when a number is negative, the higher the number is , actually the number is less, therefore the temperature should be at least -12 ° F or -11 ° F. That is, anyone with sense between the city's temperature ranges greater than -13.

Answer:

The value of x is -2.

Step-by-step explanation:

First, you have to eliminate the brackets by expanding :

[tex]2(x - 4) = 4(2x + 1)[/tex]

[tex]2x - 8 = 8x + 4[/tex]

Next, you have to move all the like-terms to one side :

[tex]2x - 8 - 8x = 4[/tex]

[tex] - 6x = 4 + 8[/tex]

[tex] - 6x = 12[/tex]

[tex]x = 12 \div ( - 6)[/tex]

[tex]x = - 2[/tex]

Answer:

[tex]x = - 2[/tex]

Step-by-step explanation:

[tex]2(x - 4) = 4(2x + 1) \\ 2x - 8 = 8x + 4 \\ 2x - 8x = 8 + 4 \\ - 6x = 12 \\ \frac{ - 6x}{ - 6} = \frac{12}{ - 6} \\ x = - 2[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

6/10

Step-by-step explanation:

i'm right

The answer is 78

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = 78[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

About 188.71 feet

Step-by-step explanation:

The cosine of an angle is equivalent to the adjacent side divided by the length of the hypotenuse. Therefore:

[tex]\cos 58=\dfrac{100}{x} \\\\x=\dfrac{100}{\cos 58}\approx 188.71[/tex]

Hope this helps!

Answer:

x = 188.71

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos 58 = 100/x

Multiply by x

x cos 58  = 100

Divide by cos 58

x = 100/cos 58

x =188.7079915

To the nearest hundredth

x = 188.71

Answer:

27

Step-by-step explanation:

18/40 = 27/60

Answer:

27 :)

Step-by-step explanation:

Answer:

I'm not sure which you mean, so I'll give the answer to both:

[tex]70 X 10^2 = 7000\\(70x10)^2 = 490000[/tex]

Answer:

26

Step-by-step explanation:

→ Utilise Pythagoras theorem

a² + b² = c²

→ Substitute in the values

10² + 24² = c²

→ Simplify

100 + 576 = c²

→ Simplify further

676 = c²

→ Square root both sides to isolate c

26 = c

Answer:

c = 2500

Step-by-step explanation:

[tex]x^2+100x + c\\x^2+2\times 50\times x + (50)^2\\=x^2+2\times 50\times x + 2500\\=x^2+100 x + 2500\\equating \: it \: with\: \\x^2+100x + c\\we\; find:\\c = 2500[/tex]

Answer:

c = 2500

Step-by-step explanation:

x² + 100x + c  where c = ?

100 x :    100x / 2x = 50

(50)² = 2500

HOPE ITS HELPFUL!!

Answer:

4:5

Step-by-step explanation:

You start with the equation:

2(3/4m)=D+1/4m

Simplify it to solve:

5/4m=D

The ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5

"It is the comparison of two quantities of the same kind."

"It is a mathematical statement which consists of equal symbol between two mathematical statements."

For given question,

Let 'x' be the initial amount of milk Mia had and 'y' be the initial amount of milk Dante had.

After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia.

We write above statement inn equation form as,

[tex]2(\frac{3}{4} x)=(y+\frac{1}{4} x)[/tex]

We simplify above equation to find the ratio of the amount of milk Mia had to the amount of milk Dante had at first.

[tex]\Rightarrow 2(\frac{3}{4} x)=(y+\frac{1}{4} x)\\\\\Rightarrow \frac{6}{4}x- \frac{1}{4} x=y\\\\\Rightarrow \frac{5}{4}x=y\\\\ \Rightarrow \frac{x}{y} =\frac{4}{5}\\\\ \Rightarrow x:y=4:5[/tex]

Therefore, the ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5

Learn more about the ratio here:

https://brainly.com/question/20387079

#SPJ2

Answer:

x≈47.4

Step-by-step explanation:

Use sine, since the triangle is a right triangle and doesn't have any special properties.

sin28=x/101

101*sin28=x

solving this, you get that x≈47.4.

Answer:

Step-by-step explanation:

length (l) = 3 ft

Width (w) = 3 ft

Height (w) = 6 ft

Surface area = 2*( lw  + wh + hl)

                    = 2* (3*3 + 3*6 + 6*3)

                    = 2*(9 + 18 + 18)

                   = 2 *  45

                   = 90 square ft

Answer:

cos 41°

Step-by-step explanation:

[tex] \sin 49 \degree = \cos(90 \degree - 49 \degree) = \cos41 \degree \\ \\ \huge {\boxed{\red{ \bold{ \therefore \: \sin 49 \degree }}= \purple{ \bold{\cos 41 \degree}}}}[/tex]

The trigonometry expression sin 49° is written in the form of cosine will be cos 41°.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The trigonometry expression is given below.

⇒ sin 49°

We know that sin (90 - A) = cos A. Then the expression is also written as,

⇒ sin 49°

⇒ sin (90° - 41°)

⇒ cos 41°

The trigonometry expression sin 49° is written in the form of cosine will be cos 41°.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

Answer:

67

Step-by-step explanation:

you add the length