An engineer traveled 125 mi by car and then an additional 675 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 7 h. Find the rate of the car.

Answers

Answer 1

Answer:

The speed of the car is 50 mph.

The speed of the plane is 150 mph.

 

Driving time = 185/50 = 3.7 hours

Flying time = 645/150 = 4.3 hours

Step-by-step explanation:

 

R be the speed of the car.

t is the driving time.

 

185 = R* t

 

645 = (3R)*(8-t) <---  the plane is 3 times as fast; the total time is 8 hours, so 8-t hours is spent flying

 

645 = 24R - 3rt <--- distributive

 

645 = 24R - 3(185)  <--- substitutes rt = 185

 

645 = 24R - 555

 

1200 = 24R

 

R = 50

 


Related Questions

Find the area of the shape below.
PLEASE HELP!

Answers

Answer:

A=15 units^2

Step-by-step explanation:

A = 1/2(base one + base two)h

A=1/2(3+7)3

A=1/2(10)3

A=5*3

A=15 units^2

Can someone help me with this question if two figures are similar but not congruent, how are they alike, and how are they different?

Answers

Two figures are similar if they have the same shape but not necessarily the same size although they are the same shape they are different sizes

POSSIBLE POINTS
aut bowling and took up sailing. His sail for his sailboat is a 45-45-90 Right Triangle. The base of the sail is 6 ft. long. How long is the hypotenu

Answers

It wouldn't let me post, so I screenshotted:

Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee

Answers

Answer:

Step-by-step explanation:

pi r^2 for area

pi 35^2

pi1225= about 3848.45

2pi r for circumference

2pi35

pi70= about 219.9

7t + 2 = t + 32

a. 12
b. -5
c. 5
d. -12​

Answers

Answer:

    c.5 is correct

Step-by-step explanation:

7t+2=t+32

shift similar terms  on one side

7t-t=32-2

6t=30

t=30/6

t=5


A commission is a fee paid to a salesperson based
on a percent of sales. Suppose a salesperson at a
jewelry store earns a 6% commission. What
commission would be earned for selling a ring
that cost $1300 dollars?

Answers

Answer:78

Step-by-step explanation:

1300x0.06=78

The commission by the salesman on the jewelry is $78.

What is commission?

A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services.

Given that, a salesperson at a jewelry store earns a 6% commission. The worth of the jewelry is $1300

The commission on the jewelry =

6% of $1300

= 1300 × 6 / 100

= 13 × 6

= 78

Hence, he earned $78 as commission.

Learn more about commissions, click;

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find the area of the figure 4m 7m​

Answers

Answer:

Step-by-step explanation:

where is the picture?!

Answer:

28m squared

Step-by-step explanation:

7*4 is 28

An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission

Answers

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that [tex]p = 0.2[/tex]

Sold seven trucks:

This means that [tex]n = 7[/tex]

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]

[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]

[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]

0.148 = 14.8% probability that they will need to order at least one more new transmission

Zora saved of her paycheck and to that she added $40.40. If the total that went into her savings
was $185, what was the amount of Zora's paycheck?

Answers

220$ answer that is answer

What is the missing length?
10 km
2
area = 33 km

Answers

Areas are measured in km2, not in km.

Plz help!!! ASAP!!!

-10 pts

also explain answer

thx <3

Answers

Answer:

1. 192 m^2

2. 396 ft^2

3. 108 m^2

Step-by-step explanation:

1. 4*8*6 = 192

2. 9*8*11 = 792

792/2 = 396

3. 4*3*9  = 108

What is the theme of the poem "Queen of the Cats"?

Answers

Answer:

Isu has a cat named Bashet. This one of the many names of the goddess Bast, queen of cats. He has siamese-type traos; his body has a ply tan ned hair, while his legs, tail, face and ears are so dark brown. Brown gradually blends into the most plida color. The cat just a normal cat, but Isu treats it with special reverence

Step-by-step explanation:

what is the area of the rectangular piece of wood?

Answers

Answer:

2x^2 + 7x + 3 is the area of the rectangular piece of wood.

Step-by-step explanation:

Here,

Length ( l ) = x + 3

Breadth ( b ) = 2x + 1

Formula : -

Ar ( rectangle ) = lb

lb

= ( x + 3 ) ( 2x + 1 )

= x ( 2x + 1 ) + 3 ( 2x + 1 )

= 2x^2 + x + 6x + 3

= 2x^2 + 7x + 3

what is the ratio of 3 cans of blue paint to 9 cans
of yellow paint

Answers

Answer:

1 to 3

Step-by-step explanation:

3 blue: 9 yellow

Divide each side by 3

3/3 : 9/3

1 blue: 3 yellow

1 to 3

Gina and Marty are selling tickets for the school dance. On Monday, they sold 15 tickets, on Tuesday 23, on Wednesday 20, and on Thursday 32. What was their average daily income if each ticket cost $2.00?

Answers

Answer:

$45

Step-by-step explanation:

15×2=30

23×2=46

20×2=40

32×2=64

30+46+40+64=180

180÷4=45

Average=45

Answer:

Their average daily income would be 45 dollars a day.

Step-by-step explanation:

To solve this, add the 15 tickets, 23, 20, and 32 tickets from Monday to Thursday. This should get you a total of 90 tickets. Since each ticket cost 2 dollars, multiply the 90 by 2. This should get you 180. TO find the average, you must divide the total(180) by the amount of days(4) that passed. This should get you 45.

Answer:

45$

Simplify the expression\(\frac{2x^{-1}y}{x^3z}\) for \(x=2\), \(y=8\), and \(z=-1\).

Answers

2 x ⁻¹ y / (x ³ z) = 2 y / (xz)

… = 2 × 8 / (2⁴ × (-1))

… = 16 / (-16)

… = -1

Step-by-step explanation:

2 x ⁻¹ y / (x ³ z) = 2 y / (x ⁴ z)

… = 2 × 8 / (2⁴ × (-1))

… = 16 / (-16)

… = -1  

What is the sign of a . (b)? 4. 1 b 3 1​

Answers

Answer:

no sign

Step-by-step explanation:

a is 0, b is negative

0×a=0

No sign

its worth 25 please help and show work

Answers

9514 1404 393

Answer:

  3) y = √10

  4) x = 5√2

Step-by-step explanation:

The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...

  1 : 1 : √2

So, for some multiplier k, they can be made to match the sides in your triangles.

__

3) 1·k : 1·k : k√2 = √5 : √5 : y

Clearly, k = √5, so ...

  y = (√5)(√2)

  y = √10

__

4) k : k : k√2 = x : x : 10

  k = 10/√2 = (5√2)/2

  k = x = (5√2)/2

y=(x-1)^2-9 standard form

Answers

Answer:

Y=x^2-2x-8

Step-by-step explanation:

rgbrgbrgbgbeefweuvhuuvhduvwg

The standard form of the equation y=(x-1)²-9 is y=x²-2x-8

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

y=(x-1)²-9 equation is in the form of a quadratic equation

where y is the unknown variable and x is the known variable.

The equation can be written in standard form by expanding the (x-1)² term and combining like terms.

y=(x-1)²-9

y=x²+1-2x-9

Combine the like terms

y=x²-2x-8

The expanded form of the equation is y=x²-2x-8

Hence, the standard form of the equation y=(x-1)²-9 is y=x²-2x-8

To learn more on Equation:

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arctan(tan(18pi /7))

Answers

Answer:

what is this ?!?!?!?!

Step-by-step explanation:

btw can u be more specific so i can properly help u

Which definition best describes a linear pair?
A. A pair of angles that combine to form a straight angle
B. A pair of angles whose sum is 360°
O C. A pair of opposite angles formed by intersecting lines
D. A pair of angles whose sum is 90°
SUBMIT

Answers

Answer:

A or C

Step-by-step explanation:

well, two angles are a linear pair if the angles are adjacent and the two unshared rays form a line. The linear pair postulate states that two angles that form a linear pair are supplementary

Hope this helps

Linear pair example below:

A. x = 44 and y = 43
B. x = 43 and y = 44
C. x = y = 90
D. x = 89 and y = 91

Answers

Answer: correct answer choice is B

Step-by-step explanation:

did it on math nation

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

POQ AND KLJ

They are the only alternate exterior angles

I can’t see the picture

Write the quadratic equation in sandard form and then choose the value of "b."
(2x-1)(x+5)=0

Answers

So to get into the form you need to multiply both using foil. First inside outside last. So 2x • x = 2x^2 + -1 • x + 5 • 2x + -1 • 5
= 2x^2 -x+10x -5
= 2x^2 +9x -5
And the b value would be 9 since
Ax^2 +bx + c

Which choices are correct when determining the distance between -240 and -35 on a number line?

Answers

Answer:

A

Step-by-step explanation:

240-35)=205

240-35

205

Answer:

Step-by-step explanation the first one

Help please I’m confused

Answers

Answer:

x=4 and y = 3 ...answer : 1

Step-by-step explanation:

hello :

x/8 =5/10 means : x=40/10 so: x=4

y/6 =5/10 means : y=30/10 so: y=3

Can someone help me with my math pls if your smart comment

Answers

Answer:

sureeeeeeeeeeeeeeeeee

Answer:

okay

Step-by-step explanation:

i hope i can help!

~mina

Please answer correctly math problemo

Answers

Answer:

2*3*4=24 (units)

l*w*h=V

brainliest plz

Step-by-step explanation:

Answer:

the answer is 24

Step-by-step explanation:

you do 3 times 4 and you get twelve and then you times it by 2

These four numbers are plotted on a number line:

-23,58,-35,-12

Which is the correct ordering on the number line, from left to right? A . -12,-35,-23,58 B. -12,-35,58,-23 C. -23,-35,-12,58 D. -35,-23,-12,58

Answers

Answer:

D

Step-by-step explanation:

the length of a rectangle is five inches less than three times its width . if the perimeter of the rectangle is 150 inches , find the dimensions.

Answers

Step-by-step explanation:

let x be the width of the rectangle.

given

length =

[tex]3x - 5[/tex]

inches.

also given Length + Width = 150 inches,

[tex]3x - 5 + x = 150 \\ 4x - 5 = 150 \\ 4x = 150 + 5 \\ 4x = 155 \\ x = 155 \div 4 \\ = 38.75in[/tex]

Since

Length = 3x-5 in

Width = x in,

Length = 3(38.75) - 5 = 111.25 in

Width = 38.75 in

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