Shelly's pet food store sold one costumer 5 peanut butter biscuits for $3. She sold another costumer 7 beef treats for $4.20.
An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air
9514 1404 393
Answer:
170 mph
Step-by-step explanation:
The speed of the airplane can be represented by s. The travel time will be ...
time = distance/speed
925/(s +15) = 775/(s -15)
925(s -15) = 775(s +15)
150s = 25500 . . . . . . . . . add 13875-775s
s = 170
The rate of the plane in still air is 170 mph.
A report revealed that the average no. of months that an employee stays in a factory is 36 months. Assuming that
the no. of months of an employee tenure in the factory is normally distributed with a standard deviation of 6
months, find the probability that a certain employee will stay:
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months
Answer:
a) P [X ≥ 30 ] = 0,8413 or 84,13%
b) P [X < 24] = 0,0228 or 2,28 %
c) P [ 24 < X < 48 ] = 0,9544 or 95,44%
Step-by-step explanation:
z = ( X - μ₀ )/σ
μ₀ the mean ( average no. of months that an employee stay in a factory)
σ standard deviation
a) P [X ≥ 30 ] = 1 - P [X < 30 ]
P [X < 30 ]
We look for z (score)
z = ( X - μ₀ )/σ ⇒ z = 30 - 36 / 6
z = - 1
From z table we get for -1
P [X < 30 ] = 0,1587
And
P [X ≥ 30 ] = 1 - P [X < 30 ] ⇒ P [X ≥ 30 ] = 1 - 0,1587
P [X ≥ 30 ] = 0,8413 or 84,13%
b) P [X < 24]
z (score) = ( 24 - 36 ) / 6
z( score) = -2
And from z table we get:
P [X < 24] = 0,0228 or 2,28 %
c) P [ 24 < X < 48 ] is P[X ≤ 48] - P[X ≤ 24]
P [X < 48]
s (score) = 48 - 36 / 6 ⇒ z = 2
P [X < 48] = 0,9772
Then
P [ 24 < X < 48 ] = 0,9772 - 0,0228
P [ 24 < X < 48 ] = 0,9544 or 95,44%
Jonathan bought a new car in November that cost $23,000. The value of the car decreases by 15% each year. What will the value of the car be in five years? *Give the exact value~nearest penny
Answer:
$5750
Step-by-step explanation:
To find what 15% is in money, we do
23,000*15/100=3450 for one year
3450*5(for five years)=$17,250
Now subtract that
23,000-17,250=$5750
On a sunny day, a streetlight that is 9 m
high casts a shadow that is 6 m long. At the
same time, a fence post casts a shadow that
is 2 m long. How tall is the fence post?
The fence post is 3m tall
Set up proportion 9/6 =2/x
You get
18=6x
Divide by 6
3=x
Boom
If this helped please mark branliest
Just the picture, Geometry.
The correct options are :-
Option (b) x + y = 180 Option (c) y = z Option (d) x + z = 180Option b is correct because angle x and y will add up to 180° as they are a linear pair . Option c is correct because angle y and angle z are vertically opposite angles . Option D is correct because angle x and angle z are a linear pair .
Add parentheses to make 6-9-2+3x6 equal to 17
Answer:
6-(9-2)+3x6
Step-by-step explanation:
hope it helps
2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?
Answer:
33.1 units
Step-by-step explanation:
The formula to find the sides of an shape when given vertices is
= √(x2 - x1)² + (y2 - y1)²
When we have:(x1, y1) and (x2, y2)
(-3, 1), (5, 1), (-3, 4), (5, 4)
For (-3, 1), (5, 1)
= √(5 - (-3))² + (1 -1)²
= √8² + 0²
= √64
= 8 units
For (5, 1), (-3, 4)
= √(-3 - 5)² + (4 - 1)²
= √-8² + 3²
= √64 + 9
= √73 units
For (-3, 4), (5, 4)
= √(5 - (-3))² + (4 - 4)²
= √8² + 0²
= √64
= 8 units
For (-3, 1), (5, 4)
= √(-3 - 5)² + (4- 1)²
= √8² + 3²
= √64 + 9
= √ 73 units
Perimeter of the Polygon:
=( 8 + √73 + 8 + √73) units
= 33.088007491 units
≈ 33.1 units
Solve for x. -2x-4>8
Answer:
x<-6
Step-by-step explanation:
-2x-4>8
(move the constant to the right)
-2x > 8+ 4
(calculate)
-2x>12
(divide both sides)
x<-6
(your answer)
What kind of sequence is this? 1, 8, 64, 512, ...
arithmetic, geometric, neither or both
Answer:
Geometric
Step-by-step explanation:
It has a consistent multiple-factor by which it increases (8).
Select all the expressions that have a value of –8. A –2 + 6 B –4 + (–4) C 6 + (–14) D 11 + (–3) E 5 + 3
Answer:
B and C
Step-by-step explanation:
the answer is B and C because
on the basis of option A
-2+6=4 (not equal to -8)
on the basis of option B
-4+-4 =-4-4=-8 (=-8)
on the basis of option C
6+-14=6-14=-8 (=-8)
on the basis of option D
11-3 =8 (not equal to -8)
on the basis of option E
5+3=8 (not equal to -8)
HOPE YOU HAVE UNDERSTOOD
The side lengths 4, 4, and 10 can form a triangle. True False
Answer:
false
Step-by-step explanation: ...
What is the interquartile range (IQR) of the salaries?
25
35
70
100
Answer:
First you order the data from least to greatest
then find the mean
next you Calculate the median of both the lower and upper half of the data
The IQR is the difference between the upper and lower medians.
Step-by-step explanation:
Greatest common factor of 36
Answer:
1,2,3,4,6,9,12,18, 36
Step-by-step explanation:
18 is the GCF of 36.
You can't multiply any other number with its 2 to be 36.
So 18 x 2 =36
Calculate the UCL and LCL for a mean chart. Assume the standard deviation is unknown. Round to 1 decimal.
Answer and explanation:
Please find answer and explanation attached
0 2. What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?
Answer:
Area=91 ft^2
Step-by-step explanation:
Area=length*width
Area= 14*6.5
Area=91 ft^2
Answer:
91 sq. ft.
Step-by-step explanation:
-2[(-19 + - 5) + (3 - 7)] + -2 [(-12 - 2) -(4 - 6)]
Answer:
I got 80
Step-by-step explanation:
Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation
Answer: 1) 500, 000
2) Five hundred thousand
3) [tex]5\times10^5[/tex]
Step-by-step explanation:
To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )
5 of 100, 000 = 5 x 100, 000 = 500, 000
In word - Five hundred thousand [ as place value of 5 = hundred thousand]
In scientific notation, [tex]500, 000=5\times10^5[/tex]
Hence, the required expressions:
1) 500, 000
2) Five hundred thousand
3) [tex]5\times10^5[/tex]
Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is
positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of
water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same
amount of water as the small tank. Which statement describes the flow rate?
The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is -10 gal/min.
O The flow rate of the large tank is -10 gal/min, and the flow rate of the small tank is 10 gal/min.
The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is -20 gal/min.
The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.
Save and Exit
Answer:
D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.
Step-by-step explanation:
Flow rate = [tex]\frac{gallons of water}{minute}[/tex]
flow rate of water in the big tank = [tex]\frac{300}{5}[/tex]
= 60 gallons/minute
flow rate in the smaller tank = [tex]\frac{200}{5}[/tex]
= 40 gallons/minute
The difference in flow rate between the tanks = 60 - 40
= 20 gallons/minute
Since the two tanks have the same amount of water after the given time, then the volume of water in the large tank decrease; while the volume of water in the small tank increased.
Therefore, the flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min. This shows that option D is correct.
Answer:
B
Step-by-step explanation:
took the quiz
CAN YOU HELP ME PLEASE
Answer:
just doing this for the gram
Step-by-step explanation:
say hi
Translate the sentence into an equation. The sum of 2 times a number and 5 is 8.
Answer:8=2xn+5
Step-by-step explanation:X is times
n is variable
Translate the following statement into an inequality. Use x as the variable.
A girl could spend at most $23 on a gift.
Choose the correct answer below.
A x < 23
B X323
C X>23
D x >223
-
help please will mark brainliest
Answer:
step 2
Step-by-step explanation:
sorry if im wrong. Please mark me brainleast
2 divided by 7/6 in simplest form
Help Please! :(
108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation and answer.
Answer:
81
Step-by-step explanation:
(2y -2) divided by x for x=2 and y=5
Answer:
= 4
Step-by-step explanation:
(2y-2)/x
Insert 2 and 5 in their respective places:
(2(5)-2)/2
Multiply from left to right:
(10-2)/2
Subtract from left to right:
8/2
Divide and simplify:
= 4
in the figure below, C is between A and D, and B is the midpoint of AC. If BD=8 and BC=6, find AD.
Answer:
AD = 14
Step-by-step explanation:
BC = 6
BD = 8
CD = BD - BC
CD = 8 - 6
CD = 2
Since B is the midpoint of AC, therefore:
AC = 2*BC
AC = 2*6
AC = 12
Thus:
AD = AC + CD
AD = 12 + 2
AD = 14
Please help...
Solve using the method of your choice:
[tex]2 {x}^{2} + 3x - 2 = 0[/tex]
Answer:
x=½, -2
x= 0.5, -2
possibly im not perfect
please help me!! i’ll love you forever
Answer:
Option A
Step-by-step explanation:
Rearrange and simplify them
First we simplify
5.78 , -5.9 , 58%(58/100) or 5.8 , -5.75
Now we rearrange
-5.9 , -5.75 , 5.78 , 5.8
The larger the number in negative is the smallest.
So option A is the answer
Which of the following is the equivalent to the ratio 5:37
A 10:8
B 20:15
15:9
D 4:2
Answer:
Step-by-step explanation:
U would 22999+122.3939ading j. Till u wil go to the bathroom