Answer:
151 meters
Step-by-step explanation:
6946/46=151 meters
Answer:
Step-by-step explanation:
If you want to be formal, let the shorter bridge = x
46x = 6946 Divide by 46
x = 6946/46
x = 151
So the shorter bridge is 151 meters long.
The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).
Part A: For the -5.3, 1 it would be located in Quadrant Q because even though it just goes to -4 and 4 I can extend the grid in my head and that's how I was able to figure out.
Step-by-step explanation:
what is a fraction between 2/3 and 4/7
Answer:
3/5
Step-by-step explanation:
it is between 2/3 and 4/7
3(x+9)-4x=11x-13x+23
Answer:
[tex]\huge\boxed{x=-4}[/tex]
Step-by-step explanation:
[tex]3(x+9)-4x=11x-13x+23\\\\(3)(x)+(3)(9)-4x=(11x-13x)+23\\\\3x+27-4x=-2x+23\\\\(3x-4x)+27=-2x+23\\\\-x+27=-2x+23\qquad|\text{subtrsact 27 from both sides}\\\\-x=-2x-4\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x=-4[/tex]
Does a quadratic polynomial have a degree of to
Answer:
Idioet duh it does.
Step-by-step explanation:
Ella is reading a map with a scale of 1 in. = 20 mi. On the map, the distance Ella must drive is 4.25 in.
How many miles will Ella drive?
Answer:
85 milesStep-by-step explanation:
Solve by proportions:
1 in ⇒ 20 mi4.25 in ⇒ xx = 4.25*20 / 1 = 85 mi
Scale is 1in =20mi
Distance in map=4.25in
Actual distance
4.25(20)85miA container 2/3 gallon of apple juice. If four people from the cross-country Tracy team share the juice equally how much juice will each team member get?
Answer:
1/6 gallon
Step-by-step explanation:
Total juice = 2/3 of container
Total people = 4
Juice for 1 people = 2/3/(4)
=> 2/3 × 1/4
=> 1/3 × 1/2
=> 1/6
n applicant receives a job offer from two different companies. Offer A is a starting salary of $58,000 and a 3% increase for 5 years. Offer B is a starting salary of $56,000 and an increase of $3,000 per year.
Part A: Determine whether offer A can be represented by an arithmetic or geometric series and write the equation for An that represents the total salary received after n years. Justify your reasoning mathematically. (3 points)
Part B: Determine whether offer B can be represented by an arithmetic or geometric series and write the equation for Bn that represents the total salary received after n years. Justify your reasoning mathematically. (3 points)
Part C: Which offer will provide a greater total income after 5 years? Show all necessary math work. (4 points)
The amount provided by each offer after each year depends on the first
salary and the added amount or percentage series.
Part A: Offer A can be represented by a geometric seriesThe salary received after n years is Aₙ = 58,000·1.03⁽ⁿ ⁻¹⁾Part B: Offer B can be represented by an arithmetic seriesThe equation for the salary after n years is Bₙ = 58,000 + (n - 1)×3,000Part C: The offer that will provide a greater income after 5 years is offer B, with an income of $70,000Reasons:
The given parameters of the job offers are;
Starting salary of offer A = $58,000
Amount by which the salary increases for 5 years = 3%
The starting salary offer B = $56,000
Amount by which the salary increases per year = $3,000
Part A: The salary amount received in the first month = $58,000
The salary in the second month, aₙ = 58,000 × (1 + 0.03)
a₂ = 58,000 × (1 + 0.03) = 58,000 × (1.03)
The salary in the third month is given as follows;
a₃ = a₂ × (1.03) = 58,000 × (1.03) × (1.03) = 58,000 × (1.03)²
The salary on the nth month is therefore;
aₙ = 58,000 × (1.03)⁽ⁿ⁻¹⁾
The above formula is in the form of the geometric series formula, which is presented as follows;
aₙ = a·r⁽ⁿ⁻¹⁾
Where;
a = The first term = 58,000
r = The common ratio = 1.03
n = The number of years
Therefore;
Offer A can be represented by an arithmetic series
Part B: The first year salary for offer B = $58,000
The salary on the second year, B₂ = 58,000 + 3,000 = 61,000
Salary on the third year, B₃ = 58,000 + 3000 + 3000 = 58,000 + 2 × 3,000
Therefore;
Salary on the nth year, Bₙ = 58,000 + (n - 1)×3,000
The above equation is in the form of aₙ = a + (n - 1)·d
Where;
a = The first term = 58,000
n = The number of years
d = The common difference = 3,000
Therefore;
Offer B can be represented by an arithmetic series
Part C: The income gained on offer A after 5 years, a₅, is given as follows;
a₅ = 58,000 × (1.03)⁽⁵ ⁻ ¹⁾ = 58,000 × 1.03⁴ ≈ 65,279.51098
The income gained on offer A after 5 years ≈ $65,279.51098
On offer B, we have;
a₅ = 58,000 + (5 - 1) × 3,000 = 70,000
The income gained on offer B after 5 years = $70,000
Therefore;
After 5 years, the income offered by offer B is greater than the income offered by offer A.Learn more about arithmetic and geometric series here:
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solve for g. bf-5k=c(g+2k)
Answer:
hope it helps.
stay safe healthy and happy.
Answer:
In bold below.
Step-by-step explanation:
bf-5k=c(g+2k)
g + 2k = (bf - 5k)/c
g = (bf - 5k)/c - 2k
Carlos is going on a boat tour. The boat will travel a total distance of 35 kilometers during the 7-hour tour.
If the boat travels at a constant speed during the tour, what distance in kilometers should the boat travel in 3 hours?
Talon read 30 pages last night in 20 minutes. If Drake read twice as fast, what was Drake's reading speed?
Answer:
3m/s
Step-by-step explanation:
s=v/ts=60/20s=3m/sPls help with part b (pretend the work there isn’t there because it’s wrong)
The movement of the progress bar may be uneven because questions can be worth more or less (ir
Add: (– 15xz + 4xy) + (20xy - 9yz + 16xz)
O 24x2 y2 – 9yz + x² zº
0 16xyz
0 5xy – 5 yz + 16xz
024xy - 9yz + xz
Your Answer Is : - 31xz + 16xy - 9yz
In the year 2016, the population of the U.K. was about
20.3% of the U.S. population. In 2016, the U.S.
population was about 323.4 million. What was the
approximate population of the U.K. in 2016?
15.9 million
627.7 million
303.1 million
65.7 million
Step-by-step explanation:
65 million. of was 15 million it would be lower percentage and the other two are too high for 20 percent
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point- slope form is y + 1= 2/3 (x -8)
Answer:
2x - 3y = 19
Step-by-step explanation:
y=(-5--1)/(2-8)*(x -8)+-1
y=-4/-6(x-8)-1
3y=2x-16-3
3y=2x-19
2x-3y=19
How would 10% be written as a fraction?
1/10
10% is 10/100 which simplifies to 1/10
Answer:
1/10
Step-by-step explanation:
it would be 1/10. reduce the fraction by 10
Write the expression:
the sum of a number and it's opposite
Answer:
0
Step-by-step explanation:
-5 5
<-+-+-+-+-+-+l-+-+-+-+-+->
l 0 l
<-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+->
-8 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 6 7 8
graph l. (l points down). Thanks!
Answer:
the sum of a number and it's opposite= x - (x)
Step-by-step explanation:
The opposite number of 2 would be -2. The opposite number of 4 would be -4 and vice versa.
Because the oppposite number is just a number that is the opposite operation of something, finding the sum of a number and it's opposite will always make the sum 0.
can someone give me the answers please?
Answer:
6. slope= -4/5 Y-intercept is 3
7.
a.y=-2x
b.y=1x+1
c.5/2x-1
d.y=4x+3
e.y=-3/2x-5
Step-by-step explanation:
{x|x is an odd integer between -3 and 7}
Answer:
x={-1,1,3,5}
Step-by-step explanation:
x={-1,1,3,5}
At M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65. How many dollars would seven pastrami sandwiches and twelve sodas cost?
Answer:
37.95
Step-by-step explanation:
MATH
The cost of seven pastrami sandwiches and twelve sodas is $40.08.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that at M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65.
2P + 5S = 12.65
3P + 2S = 12.65
2P + 5S = 3P + 2S
P = 3S
3 x 3S + 2S = 12.65
6S + 2S = 12.65
8S = 12.65
S = $1.58
P = $3.16
The cost of seven pastrami sandwiches and twelve sodas will be:-
Cost = 7P = 12S
Cost = ( 7 x 3.16 ) + ( 1.58 x 12 )
Cost = $41.08
To know more about an expression follow
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Add. 34.700 + 98.428 98.775 132.435 132.980 133.128
Answer:
34.700+98.42+98.775+132.435+132.980+133.128
Make the d subject of the formula c = kd^2 + e
[tex]c = k {d}^{2} + e \\ = > c - e = k {d}^{2} \\ = > {d}^{2} = \frac{c - e}{k} \\ = > d = \sqrt{ \frac{c - e}{k} } [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
A bag has 2 blue marbles and 16 red marbles. half of the red marbles are made of plastic. a marble is selected a random from the bag what is the possibility that it is a red plastic marble 
there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles
there are 18 marbles in total
8/18
Answer:
1/9 or 11.1%
Step-by-step explanation:
16 out of 18 are red
1/8 are red plastic
16/18 x 1/8 = 16/144 or 1/9
Need help with Pre college
Answer:
check online for more information
Based on paragraph 2 of this speech excerpt, what was
President Kennedy's position on the expense of the space
program?
Answer:
Please give me Brainliest!
Step-by-step explanation:
President Kennedy's position on the expense of the space program was that it would be well worth the high cost.
Explanation:
The general sentiment of the 1960s was extremely in favor of the space race and the Us was heavily invested in the exploration of the space even as the costs for doing so were soaring exorbitantly high.
The President understood this and so did not want to tinker with the hopes and aspirations of the common people who had come to love these efforts.
These efforts were also a matter of great national pride and thus seen well worth the cost they incurred on the people and the tax-paying part of the country.
(4.03 MC) the table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal / number of cup of raisins
8 4
10 5
12 6
8 : 2
8+ 4 = 12 2 + 1 = 3
12 : 3
12 + 4 = 16 3 + 1 = 4
16 : 4
16 + 4 = 20 4 + 1 = 5
20 : 5
20 + 4 = 24 5 + 1 = 6
24 : 6
24 + 4 = 28 6 + 1 = 7
28 : 7
28 + 4 = 32 7 + 1 = 8
32 : 8
32 + 4 = 36 8 + 1 = 9
36 : 9
36 + 4 = 40 9 + 1 = 10
40 : 10
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.
Have a great day/night! :D
Pls pls pls pls pls pls pls pls ahh
Answer:
DO YOURE WORK!
Step-by-step explanation:
Please.
Evaluate the following expression.
53
Enter the answer
Answer:
125
Step-by-step explanation:
5^3 = 5 ✕ 5 ✕ 5, and 5 ✕ 5 ✕ 5 = 125
Hope this helps :)
Answer:
125
Step-by-step explanation:
all you have to do is 5*5*5. so multiply the number that many times it tells you on the exponent.
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
Step-by-step explanation:
a² + b² = c²
12² + b² = 15²
b² = 225 - 144
b² = 81
b = 9
what ratio is equivelant to 5 : 4
Answer:
1.25 to 1
Step-by-step explanation:
5/4 = 1.25 4/4 = 1 So the ratio is 1.25 to 1
Which of the following have a sum of 0? (Pick 2) *
1:The football team gained 10 yards on the first play, gained 10 yards on the second play, and lost 10 yards on the third play. What was the overall change in yardage?
2: While playing the integer game, Sam pulled the following cards: 8, 4, 5, -6, -8, -3. What is the sum of Sam's hand?
3: -15 - 8 + 12 + 11
4: 6 + (-5) - 7 + (-4) + (-4)
Answer:
The answer is number 3.
Step-by-step explanation:
-15 - 8 = -23
12 + 11 = 23
When you subtract -23 from 23 you have a sum of 0
Therefore the answer is 0