Chau rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 97 cents for each mile driven. Chau had to pay $306.13 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer 1

Answer:

Chau drove 13.96 miles while he was using the truck

Step-by-step explanation:

Answer 2

Answer:

294 miles!!!!!!

Step-by-step explanation:


Related Questions

Help me please! I need this solved.

Answers

Answer:

c(10) = 10c i believe

Step-by-step explanation:

or the answer in the picture

After John worked at a job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is
Oslo
2
$x + 2
$x-2
$2x

Answers

Answer:

$2x

Step-by-step explanation:

His salary doubled (x2), so you can eliminate B & C because they are + & -. You can eliminate A because that would represent his current salary. So, that leaves $2x.

The answer is $2x
Why? because using process of elimination, you know it can’t be subtraction or addition because it uses the key word doubled, meaning you’d have to multiply leaving you with 2x.

Activity:theresa's mother ask her to buy dressed chicken if a kilo of dressed chick cost​

Answers

Step-by-step explanation:

450/180= 2.5 kilos

it is a one to one relationship

f(x)=x/180

where x is the amount given to her


A spinner has 8 sections: 2 purple, 2 yellow, 3 blue,
and 1 red.
What is the probability of spinning and landing on
a color that is not yellow?
6
3
P(not yellow) = 6
P(not yellow) = 6/8
P(not yellow) = 2/8

Answers

Answer:

p=6/8

Step-by-step explanation:

there are 8 sections total and 6 sections that are not yellow

you have a 6 in 8 chance of landing on a color that isn't yellow/

6/8

hope this helps!

yooooooo anyone else tired of school

6. Write the following cubes in expanded form:

(iii) (3a + 4b)³

8. Evaluate the following cubes using suitable Identities:

(ii) (999)³

Answers

Answer:

Step-by-step explanation:

we can use this algebraic identity:

[tex](a+b)^{3} =a^{3} +b^{3} +3ab(a+b)[/tex]

So,[tex](3a+4b)^{3} =(3a)^{3} +(4b)^{3}+3(3a)(4b)(3a+4b)[/tex]

=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +36ab(3a+4b)[/tex]

=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +108a^{2} b+144ab^{2}[/tex]

[tex](999)^{3}[/tex]=[tex](1000-1)^{3}[/tex]

Now, we can use the following identity:

[tex](a-b)^{3} =a^{3} -b^{3} -3ab(a-b)[/tex]

=[tex](1000-1)^{3} =1000^{3} -1^{3} -3(1000)(1)(1000-1)\\[/tex]

[tex](1000-1)^{3} =1,000,000,000-1-2,997,000[/tex]

[tex](1000-1)^{3} =997,002,999[/tex]

If x is an odd number, which of the following is also odd? * X + 1, X + 2, 2x + 2 or 3x + 1​

Answers

Answer:

x+2

Step-by-step explanation:

i put mi x as one so

....that how i get my anwser

Need help ASAP please <3

the table given below shows the number of miles that teddy had been runninf over some of the past ten weeks

The number of miles that he runs per week can be represented as a linear function. What would be
the rate of change of this function in miles per week?

A) 1

B) 3

C) 6

D) 10

Answers

The answer is a because you multiple times and divided

The rate of change of this function in miles per week is 3 miles per week.

What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a table as shown in the question.

The rate of change in miles per week is -

(19 - 13)/(3 - 1) = (22 - 19)/(4 - 3)

6/2 = 3/1

3 = 3

3

Therefore, the rate of change of this function in miles per week is 3 miles per week.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Please help this is algebra one

Answers

Answer:

B

Step-by-step explanation:

When x is equal to 0, you look at the graph and you get y is equal to 3, which is choice B

Choose all of the ordered pairs that are solutions to the equation y = x2 + 1.
A. (-2, 5)
B. (-1,0)
7. (1, 2)
D. (2, 4)
E. (3, 10)

Answers

Answer:

A, C, E

Step-by-step explanation:

Substitute the x- coordinate of the points into the equation and if the result is equal to the y- coordinate of the point then it is a solution.

A (- 2, 5 )

y = 2² + 1 = 4 + 1 = 5 → (- 2, 5 ) is a solution

B (- 1, 0 )

y = (- 1)² + 1 = 1 + 1 = 2 ≠ 0 ← not a solution

C (1, 2 )

y = 1² + 1 = 1 + 1 = 2 → (1, 2 ) is a solution

D (2, 4 )

y = 2² + 1 = 4 + 1 = 5 ≠ 4 ← not a solution

E (3, 10 )

y = 3² + 1 = 9 + 1 = 10 → (3, 10 ) is a solution

prove cos a = 5/13 pls solve it and no link pls..........​

Answers

Answer : The demonstration is below :)

Step-by-step explanation :

We use Pythagoras' theorem :

In the triangle ABC we have :

AB² = AC² - BC² = 15² - 9² = 144 = 12²

In the triangle ABD we have :

DB² = AD² - AB² = 13² - 12² = 5²

cos(a) = BD/AD = 5/13

Find range of the real function
[tex]f = \left \{ \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R \right \}[/tex]
from R into R​.

Answers

Step-by-step explanation:

[tex] \large\underline{\sf{Solution-}}[/tex]

Given function is

[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]

To find the range of the function f, Let assume that

[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]

[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]

[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]

[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]

[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]

[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]

[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]

For x to be defined,

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]

[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]

Hence,

[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]

What is the number if 4 is subtracted from sum of 1 fourth of 5 times of 8 and 10

Answers

Answer:

Answer:18.5

Step-by-step explanation:

10+8=18

18*5=90

90/4

22.5-4=18.5

Have a happy day! <3Miss Hawaii

Answer:

16

Step-by-step explanation:

sum of 8 and 10=18

5 times of sum of 8 and

10= 18×5=80

1/4 of 5 times of sum of 8 and

10= 1/4×80=20

and then subtracted 4 from

20 =20-4=16

The product of twice a number and four is the same as the difference of seven times the number and 2/7 Find the number.

Answers

Answer:

the number is -2/7

Step-by-step explanation:

let the number be x

2x ×4= 7x-2/7

8x = 7x-2/7

collect like terms

8x-7x = -2/7

X= -2/7

order the set of numbers from least to greatest. 7.59 7.5% 7 49/50

Answers

Answer:

The correct answer is 7.5%, 7.59, 7 49/50

Step-by-step explanation:

Hope This Helps!

Answer:

7 49/50, 7.59, 7.5%

Step-by-step explanation:

7 49/50=7.98 if you solve the fraction

7.5%=0.075 if you move the decimal two places

Hope this helps :)

On the grid below draw a right triangle
with vertices at P(2, 4), Q(7, 9), and
R(10,6). what is the lengths of the three sides to the nearest tenth.

Answers

Answer: See attached image for graph

PQ: √50

QR: √18

PR: √68

Step-by-step explanation: We will use the 2D distance formula in order to get each side length. The distance formula is:

distance = √(x₂-x₁)² + (y₂-y₁)²

Thus, we just apply this formula for each side length.

Expand the brackets in these expressions
1.(a²)²
2.(3c)³
3.(2z²)³
4.a(2b)²
5.5(q2)2
6.(xy)²
7. i(jk)²

Answers

Answer:

1. a^4.

2. 9c³.

3. 8z^6.

4. 4b²a.

5. 20q(if the 2 isn't an exponent)

if it is,

20q².

6.x²y².

7. j²k²i.

All the best.

Answer:

Step-by-step explanation:

[tex]1.(a^{2})^{2}= a^{2*2}=a^{4}\\\\\\2. (3c)^{3}=3^{3}*c^{3} = 27c^{3}\\\\\\3.(2z^{2})^{3}=2^{3}*(z^{2})^{3}=8z^{2*3}=8z^{6}\\\\\\4.a(2b)^{2}=a*2^{2}b^{2}=4ab^{2}\\\\\\5.5(q^{2})^{2} = 5q^{2*2}=5q^{4}\\\\\\6.(xy)^{2}=x^{2}y^{2}\\\\\\7i(jk)^{2}=ij^{2}k^{2}[/tex]

5/4 divided by 10 plzzzzzzz

Answers

Answer:

0.125

Step-by-step explanation:

Hope it helps

Answer:

(5/4) / 10

= (5×10)/4

= 50 / 4

= 25/ 2

= 12.5

Step-by-step explanation:

brainliest plz

What is the two perfect squares of 237?

Answers

Answer:

What is the two perfect squares of 237?

Step-by-step explanation:

The Two perfect squares of 237

I guess It didn't have any square

although its square is 15.39480432

f(x) = -x^2-3x
find f (10)

Answers

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(-x^2-3*x)=0  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  fx + x2 + 3x  =   x • (f + x + 3)  

Equation at the end of step

2

:

 x • (f + x + 3)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x = 0  

 Solution is  x = 0

Equation of a Straight Line

3.3     Solve   f+x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

 f-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000  

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -2.000/2.000 = -1.000  

Geometric figure: Straight Line

 Slope = -2.000/2.000 = -1.000

 x-intercept = -3/1 = -3.00000

 f-intercept = -3/1 = -3.00000

x = 0

help pls
what is the slope intercept of (3,5) and (2,1)

Answers

M=1-5/2-3=-4/-1=4
M=4
(3,5)
5=2(3)+b
5=6+b
b=-1

The graph shown below expresses a radical function that can be written in the for f(x)=a(x+6)

Answers

Answer:

Step-by-step explanation:

MY SISTER HAVE DIS EQUETION I TELL YOU

guys pls help me!!!!!!

Answers

Answer:

Step-by-step explanation:

i think its 64 degrees

Angles on a straight line equals 180⁰

180⁰-64⁰

116⁰

x=116⁰

2 3/5 + 5 1/4 in a fraction

Answers

Step-by-step explanation:

[tex]2\frac{3}{5} +5\frac{1}{4}[/tex]

= [tex]\frac{13}{5} +\frac{21}{4}[/tex]

= [tex]\frac{52 + 105}{20}[/tex]

= [tex]\frac{157}{20}[/tex] Or [tex]7\frac{17}{20}[/tex]

Please give me a brainliest answer

The next model of a sports car will cost 4.1%, more than the current model. The current model costs $58,000 How much will the price increase in dollars? What
will be the price of the next model?

Answers

Answer:

$60378

Step-by-step explanation:

$58,000 represents 100% of the original cost

100 + 4.1= 104.1% = 104.1/100 = 1.041

Multiplying by 1.041 gives the cost after the increase

price = 53000 x 1.041  = $60378

8(-x - 7) > 16 I need the answer for it, I honestly don’t get it

Answers

Answer:

x > 8.125 or 8 & 1/8

Step-by-step explanation:

8( -x - 7) > 16

-8x - 49 > 16

     + 49 + 49

-8x > 65

x > 8.125 or 8 & 1/8

Look at the point in the picture. What is the y coordinate?


(3,-2)

Answers

Answer:

-2

Step-by-step explanation:

It's (x,y)

Here, (3,-2)

-2 is y

:)

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal distance of 80 mm.

Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)

Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)

Answers

The spider's movement is an illustration of a parabola.

The equation of the parabola is: [tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]The focus of the parabola is [tex]\mathbf{Focus = (80 ,-60)}[/tex]The directrix is: [tex]\mathbf{y = 100}[/tex].The axis of symmetry is: [tex]\mathbf{x = 80}[/tex]

(a) The equation

The spider passes through the origin.

So, we have:

[tex]\mathbf{(x,y) = (0,0)}[/tex]

The spider jumps to a maximum height of 20mm, midway 160mm.

So, the vertex is:

[tex]\mathbf{(h,k) = (80,20)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

So, we have:

[tex]\mathbf{0 = a(0 - 80)^2 + 20}[/tex]

[tex]\mathbf{0 = 6400a + 20}[/tex]

Subtract 20 from both sides

[tex]\mathbf{6400a =- 20}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{1}{320}}[/tex]

Substitute [tex]\mathbf{a =- \frac{1}{320}}[/tex] and [tex]\mathbf{(h,k) = (80,20)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]

(b) The focus, directrix and the axis of symmetry

The focus of a parabola is:

[tex]\mathbf{Focus = (h,k+p)}[/tex]

Where:

[tex]\mathbf{p = \frac{1}{4a}}[/tex]

So, we have:

[tex]\mathbf{p = \frac{1}{4\times -1/320}}[/tex]

[tex]\mathbf{p = -\frac{320}{4}}[/tex]

[tex]\mathbf{p = -80}[/tex]

So, we have:

[tex]\mathbf{Focus = (80 , 20-80)}[/tex]

[tex]\mathbf{Focus = (80 ,-60)}[/tex]

The axis of symmetry is:

[tex]\mathbf{x = h}[/tex]

So, we have:

[tex]\mathbf{x = 80}[/tex]

The directrix is:

[tex]\mathbf{y = k - p}\\[/tex]

So, we have:

[tex]\mathbf{y = 20+80}[/tex]

[tex]\mathbf{y = 100}[/tex]

Read more about parabolas at:

https://brainly.com/question/5430838

find x if the base angles of an isosceles triangle are 47 degrees and 3x+14

Answers

Answer:

Step-by-step explanation:

The value of x is 11.

Given,

The base angles of an isosceles triangle are 47 degrees and 3x+14 degrees.

We need to find x.

What is an isosceles triangle?

An isosceles triangle is a triangle that has two equal sides and two equal angles.

The equal angles are the base angles.

Find x.

We have,

Base angles: 47 degrees and (3x + 14) degrees

Since base angles are equal in an isosceles triangle.

We have,

47 = 3x + 14

47 - 14 = 3x

33 = 3x

x = 33/3 = 11

x = 11

Thus the value of x is 11.

Learn more about the isosceles triangle here:

https://brainly.com/question/10147636

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What is the slope of a line parallel to y = 4x + 3.​

Answers

Answer:Using the slope-intercept form, the slope is −4 - 4 .

Step-by-step explanation:To find an equation that is parallel to y=−4x−3 y = - 4 x - 3 , the slopes must be equal.

Answer:

the slope is −4 - 4

sorry if it’s wrong

plsssssssssssssssshelppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Help with what?

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