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
Write the quadratic equation in sandard form and then choose the value of "b."
(2x-1)(x+5)=0
its worth 25 please help and show work
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
Can someone help me with this question if two figures are similar but not congruent, how are they alike, and how are they different?
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
Answer:
D
Step-by-step explanation:
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
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
Which choices are correct when determining the distance between -240 and -35 on a number line?
Answer:
A
Step-by-step explanation:
240-35)=205
240-35
205
Answer:
Step-by-step explanation the first one
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
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 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?
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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A. x = 44 and y = 43
B. x = 43 and y = 44
C. x = y = 90
D. x = 89 and y = 91
Answer: correct answer choice is B
Step-by-step explanation:
did it on math nation
Help please I’m confused
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
What is the missing length?
10 km
2
area = 33 km
find the area of the figure 4m 7m
Answer:
Step-by-step explanation:
where is the picture?!
Answer:
28m squared
Step-by-step explanation:
7*4 is 28
what is the ratio of 3 cans of blue paint to 9 cans
of yellow paint
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
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.
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
Can someone help me with my math pls if your smart comment
Answer:
sureeeeeeeeeeeeeeeeee
Answer:
okay
Step-by-step explanation:
i hope i can help!
~mina
Find the area of the shape below.
PLEASE HELP!
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
y=(x-1)^2-9 standard form
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
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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?
what is the area of the rectangular piece of wood?
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 sign of a . (b)? 4. 1 b 3 1
Answer:
no sign
Step-by-step explanation:
a is 0, b is negative
0×a=0
No sign
Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee
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
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
arctan(tan(18pi /7))
Answer:
what is this ?!?!?!?!
Step-by-step explanation:
btw can u be more specific so i can properly help u
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
It wouldn't let me post, so I screenshotted:
Please answer correctly math problemo
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
What is the theme of the poem "Queen of the Cats"?
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:
Plz help!!! ASAP!!!
-10 pts
also explain answer
thx <3
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
Simplify the expression\(\frac{2x^{-1}y}{x^3z}\) for \(x=2\), \(y=8\), and \(z=-1\).
2 x ⁻¹ y / (x ³ z) = 2 y / (x ⁴ z)
… = 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
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
POQ AND KLJ
They are the only alternate exterior angles
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?
Answer:
$45
Step-by-step explanation:
15×2=30
23×2=46
20×2=40
32×2=64
30+46+40+64=180
180÷4=45
Average=45
Answer:
Their average daily income would be 45 dollars a day.
Step-by-step explanation:
To solve this, add the 15 tickets, 23, 20, and 32 tickets from Monday to Thursday. This should get you a total of 90 tickets. Since each ticket cost 2 dollars, multiply the 90 by 2. This should get you 180. TO find the average, you must divide the total(180) by the amount of days(4) that passed. This should get you 45.
Answer:
45$