Answer:
Speed of train from station M = 85 miles per hour
Speed of train from station N = 90miles per hour
Step-by-step explanation:
Given that the distance between two points M and N is 380 miles
Suppose the speed of train M is x
So, the speed of train N is 5 + x
Formula to use:
distance = speed x time
For the train from point M
d = x * 2
d = 2x
For the train from point N
d = (5 + x) * 2
the above 2 distances plus 30 miles equals 380 miles
Equation:
2x + 2(x+5) + 30 = 380
2x + 2x + 10 + 30 = 380
4x + 40 = 380
4x = 380 - 40
4x = 340
x = 340/4
x = 85 mph for train M
Now put the value in the second train's speed
x + 5
85 + 5
= 90 mph for train N
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What is the value of x?
Answer:
x = 3 sqrt 2
Step-by-step explanation:
We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:
6 = x sqrt 2
x = 6/sqrt 2
Rationalize the denominator:
x = (6 sqrt 2)/2
x = 3 sqrt 2
In preparation for the holiday season, Big Bird Co. decided to increase production of stuffed Bert characters by 30%.
If the company had been producing 350 Bert characters per day, how many additional characters will the factory be creating per day?
Answer:
the additional characters will the factory creating per day is 105 characters
Step-by-step explanation:
The computation of the additional characters will the factory creating per day is shown below
= Number of character produced × (1 + increased percentage)
= 350 × (1 + 0.30)
= 350 × 1.30
= 455 characters
Now the additional characters would be
= 455 - 350
= 105 characters
hence, the additional characters will the factory creating per day is 105 characters
Subtract. Write your answer as a fraction in simplest form.
-8 3/8 - 10 1/6=
Margaret invested $2000 into an account earning 4% interest compounded continuously. How much will her investment be worth after 5 years?
Answer:
$400
Step-by-step explanation:
The required, worth of the Margret investment after 5 years will be $2442.8.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Principal = P rate= r Time =a , n = compounding frequency
here,
Margaret invested $2000 into an account earning 4% interest compounded continuously.
Principal = $2000
Rate = 4% or 0.04
tenure = 5 years,
[tex]Amount = Pe^{rt}[/tex]
Substitute the values in the above equation,
[tex]Amount = 2000 \times e^{0.04 \times 5}\\Amount = 2442.8[/tex]
Thus, investment of Margret after 5 years becomes $2442.8.
Learn more about compound interest here:
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Write the numbers 0,1,2,3,4,5,6,7,8,9 in this order and insert + or - between them to get the result -3
Answer:
The order is ;
0+ 1 + 2-3+ 4 -5+6-7+ 8 - 9
Step-by-step explanation:
Here, we want to write the numbers in that order, inserting a subtraction or addition sign between them.
These are;
0+ 1 + 2-3+ 4 -5+6-7+ 8 - 9
A quantity with an initial value of 160 grows continuously at a rate of 0.65% per hour.
What is the value of the quantity after 402 minutes, to the nearest hundredth?
Answer:
167.10
Step-by-step explanation:
Here, we write out the general form for an exponential equation;
y = I (1 + r)^n
where y is the current value which we want to calculate
I is the initial value which is 160
r is the growth rate = 0.65% = 0.65/100 = 0.0065
402 minutes to hours will be 402/60 = 6.7 hours which is n
Substituting these values, we have
y = 160( 1 + 0.0065)^6.7
y = 160(1.0065)^6.7
y = 167.10
The manager of a grocery store estimates that 74% of customers will make a purchase. Part A: How many customers should a cashier expect until he finds a customer that makes a purchase?
Part B: What is the probability that a cashier helps 3 customers until he finds the first person to make a purchase?
Answer:
a. The number of customers that should a cashier expected till to find a customer is 1.35
b. The probability for helping three customers is 0.013
Step-by-step explanation:
The computation is shown below:
A. The number of customers that should a cashier expected till to find a customer is as follows:
= 1 ÷ 0.74
= 1.35
b. The probability for helping three customers is
= (1 - 0.74)^3 × 0.74
= 0.013
So the same is to be considered and relevant
AHH, What is this???? and plz explain THX <3
Answer:
The maximum height of an ad that the company can afford is 20 inches.
Step-by-step explanation:
2,050 = 50 + 10(h * w),
where h is height, w is width and h = 2w.
2,050 = 50 + 10(h * w)
(subtract 50 from each side)
2,000 = 10(h * w)
(divide each side by 10)
200 = h * w
(substitute 2w for h)
200 = 2w * w
(divide each side by 2 and simplify)
100 = w * w
100 = w²
(find the square root of each side)
10 = w
So if the width is 10, then since the height is twice the width, then the height has to be 20.
Which phrase represents the expression 7x + 2
Answer:
Seven x plus two
Step-by-step explanation:
I think thats whats you wanted, right?
Angie states the following: "Given two triangles, if two pairs of corresponding sides and one pair of corresponding angles are congruent, then the triangles are congruent by Side–Angle–Side (SAS)." Which of the following options best describes Angie's statement?
a Angie is incorrect since SAS is not a congruence criterion that can be used to prove that two triangles are congruent.
b Angie is correct since SAS requires two pairs of congruent sides and one pair of congruent angles.
c Angie is correct since any two pairs of congruent sides and any pair of congruent angles will satisfy the SAS congruence criterion.
d Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS criterion.
Answer: D
Step-by-step explanation:
The answer is letter D, Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS orientation.
Answer:
C.) Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS criterion.
just took the test :)
have a good day
Nicole is driving on a highway. She uses one gallon of gas every 20 miles she drives. The distance, D (in miles), she travels on g gallons of gas is given by the following function. D (g)=20g How far does Nicole drive if she uses 3 gallons of gas?
Answer:
60
Step-by-step explanation:
1 gallon is equal to 30 miles, which would mean if she uses 30 gallons of gas it would be equal to 60 since 3 x 20 equals 60
andrew needs to call his 8 baseball teammates to make plans for a party at the end of the season if each call takes 5 minutes how much time will he spend making the calls?
A. 1/3 hour
B.40/100 hour
C.2/3 hour
D.3/4 hour
Answer:
C
Step-by-step explanation:
8*5=40 minutes
There is a total of 60 minutes.
So:
40/60 = 4/6 = 2/3
The graphs below have the same shape What is the equation of the blue graph?
Step-by-step explanation:
C
Answer:
Guy above me is wrong, it's actually D! Hope this helps.
Step-by-step explanation:
HELP ASAP EXPLAIN hellooo
Owen is 69 inches tall. How tall is Owen in feet? there is a hint i am in 6 grade
Answer:
5.75 feet tall
Step-by-step explanation:
How many terms are in the expression when simplified?
Answer:
5
Step-by-step explanation:
what is 826,783 rounded to the nearest ten thousand
Answer:
826,783
82*6* (we go up)
826,783 is rounded to 830,000
Step-by-step explanation:
c) Abus drives for 3/2hours at an average speed of 56 mph.
How far does the bus drive?
At a local amusement park 70% of the rides are 48 inches taller if there are 80 rides in total how many are made for kids who are 48 inches and taller?
Answer:
56 rides
Step-by-step explanation:
Total number of rides = 80 rides
If 70% of the rides are 48 inches taller, the total number of rides 70% taller wil be;
Rides 48 inches taller = 70% * 80
Rides 48 inches taller = 0.7 * 80
Rides 48 inches taller = 56
Hence the total rids made for kids that are 48inches taller is 56 rides
help!!!!!
Suppose f(x) = x2. What is the graph of g(x) = f(3x)?
Answer:
we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Also, check the attached graph is matched with option B.
Hence, option (B) is the correct graph.
Step-by-step explanation:
Given
f(x) = x²g(x) = f(3x)so
g(x) = (3x)² = 9x²Thus, the graph of g(x) = 9x² is shown below.
From the graph, it is clear that at x = 0, y = 0
So, the y-intercept is at (0, 0).
Clearly
f(x) = x²g(x) = 9x²Note that the vertex of the graph also lies at (0, 0), because it is clear that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Since 9 > 0, it means g(x) = 9x² is vertically stretched by multiplying each of its y-coordinates by 9.
Therefore, we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Also, check the attached graph is matched with option B.
Hence, option (B) is the correct graph.
Which congruence postulate or theorem shows that the triangles below are congruent?
A.
AAS
B.
ASA
C.
AA
D.
SAS
Answer:
A. AAS
Step-by-step explanation:
5. Solve these equations.
a. N + 2.3 = -4.7
b .2N + 6.8 = -10.2
C. N=4= -2.7
Answer:
a. N + 2.3=-4.7
N= -4.7-2.3
N=. -7
b. 2N+6.8=-10.2
2N= -10.2-6.8
2N= -17
N= -17/2
c. N +4 = -2.7
N= -2.7-4
N = -6.7
WIll give brainley
1/3x = 6
Answer:
x = 18
Step-by-step explanation:
6 ÷ 1/3 =
18
A segment has endpoints with coordinates - 3 and 4. What is the coordinate of the segment's midpoint?
9514 1404 393
Answer:
1/2
Step-by-step explanation:
The midpoint is the average of the end points:
(-3 +4)/2 = 1/2
The coordinate of the midpoint is 1/2.
Tasha walked 6,618 feet. What is the distance she walked in yards?
Answer:
2206
Step-by-step explanation:
3 feet = 1 yard
so you divide 6618 by 3 to get 2206
Answer:
The answer is 2206
Step-by-step explanation:
there is 3 feet in 1 yard so i Divided it by 3
so i did 6,618 / 3 to get 2206
Hope i helped
Four copies of the triangle shown are joined together, without gaps or overlaps, to make a parallelogram. measurements= 5cm, 13cm, 12cm What is the largest possible perimeter of the parallelogram?
Answer:
Highest Possible Perimeter = 52cm
Step-by-step explanation:
The triangle is not shown. But, the question can still be solved.
The given sides (5cm,12cm and 13cm) of the triangle shows that the triangle is a right angled triangle as proven below:.
[tex]13\² = 5\² + 12\²[/tex]
[tex]169 = 25 + 144[/tex]
[tex]169 = 169[/tex]
Having shown that;
The next step is to determine the highest possible value of the perimeter.
To get the highest possible perimeter;
The 4 triangles have to be joined at the 12cm and 5cm part of each triangle (see attachment).
From the attachment, the perimeter is then calculated as:
Perimeter = 13cm + 13cm + 13cm+ 13cm
Perimeter = 52 cm
Answer: 76
Step-by-step explanation:
Peter and Angad win some money and share it in the ratio 4:1. Peter gets £28. How much did they win in total
Answer:
£35
Step-by-step explanation:
The ratio is 4:1.
Since we know that Peter gets £28, we can divide that 28 by 4 to get Angad's share:
28/4 = 7
This means Angad got £7.
Now we add these 2 amounts together to find the total:
£28 + £7 = £35
Therefore, they won a total of £35.
Ella invested $2,700 in an account paying an interest rate of 5.4% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $4,020?
Answer:
7.4 years
Step-by-step explanation:
This is a compound interest question, from the question, we know we are to find the time.
The formula for Time in compound interest =
t = ln(A/P) / n[ln(1 + r/n)]
Where:
A = Amount after time t = $4,020
P = Principle = Initial amount invested = $2700
r = Interest rate = 5.4% = 0.054
t = ??
n = compounding frequency = monthly = 12
t = ln(A/P) / n[ln(1 + r/n)]
t = In(4020/2700)/12[In(1 + 0.054/12)]
t = 7.388 years
Approximately = 7.4 years
Melissa is making a piece for a stained glass window that has the shape and measures shown below. Point Cis the center of the partial circle that forms one corner of the stained glass piece. 6 in C 1 1 10 in. 1 11 12 in which area is the closest to the area of the stained glass piece in square inches? Use 3.14 form π
Answer:
Its 184.26 I think sorry if it's wrong
Step-by-step explanation:
NEED HELP ASAP!!!!!!!!!
Answer:
20
Step-by-step explanation: