What is the 3rd number in the sequence 2n +2?
Answer:
it would be 2 right by the question mark
Step-by-step explanation:
so 2 is a number the n is going to be a number and then that leaves the last 2 left
Let f be the function given by f(x) = x +
Vx+1
X - 1
Find and simplify f(5).
Answer:
A)4
Step-by-step explanation:
Since (3+1)^1/2=2
and 3-1=2
2/2=1
3+1=4
A rectangular garden has a width of 10 feet and a length of 14 feet. A cement walkway is added around the outside of the garden. The area of the garden and the walkway together are 320 square feet. What is the width of the walkway
Answer:
The width of the walkway is of 12.86 feet.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle of length l and width w is given by:
A = lw
A rectangular garden has a width of 10 feet and a length of 14 feet.
So the area of the rectangular garden is of 10*14 = 140 square feet.
The area of the garden and the walkway together are 320 square feet.
So the area of the walkaway is of 320 - 140 = 180 square feet.
What is the width of the walkway
It has the same length of the garden, of 14. So
[tex]14w = 180[/tex]
[tex]w = \frac{180}{14}[/tex]
[tex]w = 12.86[/tex]
The width of the walkway is of 12.86 feet.
Complete the following problems. Please show your work.
1. A freight train leaves the station traveling due north at a speed of 40 mph. One hour later, a passenger train leaves the same station traveling due north on a parallel track at a speed of 50 mph. How long will it take the passenger train to overtake the freight train?
2. The width of a soccer field recommended for players under 12 is 32 yards less than the length. The perimeter of the fields is 290 yards. Find the dimensions of the field.
3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?
Answer:
see explanation
Step-by-step explanation:
(1)
Using the relationship
distance (d) = speed (s) × time (t)
The freight train leaves the station 1 hour earlier than the passenger train, so
d = 40(t + 1) ← Freight train
d = 50t ← Passenger train
We require to find when they are at the same distance from the station, then equating the 2 equations
50t = 40(t + 1) ← distribute
50t = 40t + 40 ( subtract 40t from both sides )
10t = 40 ( divide both sides by 10 )
t = 4
The passenger train will overtake the freight train after 4 hours
-------------------------------------------------------------------------------------
(2)
let l represent length, then width = l - 32
perimeter (P) = 2l + 2w = 290, that is
2l + 2(l - 32) = 290 ← distribute and simplify left side
2l + 2l - 64 = 290
4l - 64 = 290 ( add 64 to both sides )
4l = 354 ( divide both sides by 4 )
l = 88.5 and w = 88.5 - 32 = 56.5
Then dimensions are 88.5 yards by 56.5 yards
----------------------------------------------------------------------------------
(3)
Plan A : 100 + 15n
Plan B : 25n
When is Plan A better than Plan B , that is
100 + 15n > 25n ( subtract 25n from both sides )
100 - 10n > 0 ( subtract 100 from both sides )
- 10n > - 100
Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.
n < 10
Plan A is better when number of hours (n) is less than 10
Answer:
3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices- a, b, c, d, e- and only one correct answer. What is the probability that he answered both of the problems correctly? Write your answer as a fraction in simplest form.
please help I'll give brainliest to the correct answer.
A triangle has side lengths 5, 7, and 11. Classify the triangle by it's angles. show your work.
Answer:
it is probably a right triangle
Step-by-step explanation:
right angle because 11 is 7 beside and 5 under
Answer:
i think its a right angle, not sure tho
Step-by-step explanation:
simplify each radical
[tex] \sqrt{75x^{6} } [/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{75x^6}\\ \\ \sqrt{3(5^2)x^{3^2}}\\ \\ 5x^3\sqrt{3}[/tex]
Greg kicked the soccer ball 75 feet. How many yards did he kick the ball? Answer without units
Answer: I believe 25 yards.
Step-by-step explanation: Hope it helps! Have a great day!!!
Factor completely 2x^2 + 9x + 7.
A) (2x + 7)(x + 1)
B) (2x + 1)(x + 7)
C) (2x + 9)(x + 2)
D) (2x + 7)(2x + 1)
Answer:
Step-by-step explanation:
(2x + 7)(x + 1)
answer is A
What is the value of the underlined digit write your answer as a fraction pls help
Answer:
2/100
Step-by-step explanation:
a thousandth basically
Answer:
2 over 1000
Step-by-step explanation:
At the not much fun amusement park, Otaka Shawa paid $25.75 for three game of mini-marbles-golf and two rides on the slow-go-karts,while Soren Derkeister paid $35.75 for four games of mini-marbles-golf and three rides on the slow-go-karts. How much did each activity cost?
What’s the value of X on the parallelogram below?
Answer:
I think x is 34.75.
Step-by-step explanation:
Same side interior angles are supplementary to each other. Angle C and angle E are congruent to each other.
(4x-20)+61=180
4x+41=180
subtract 41 from both sides
4x=139
x=34.75
Draw a pair of adjacent complementary angle
Answer:
one angle can be 50 degrees and the other angle will be 40 degrees
Step-by-step explanation:
complementary is when 2 angles add up to 90 degrees
A particle moves along the x-axis. The velocity of the particle at time t is −2t+8 . What is the total distance traveled by the particle from t=1 to t=6?
Answer:
13
Step-by-step explanation:
The velocity is given by:
[tex]\displaystyle v(t)= -2t + 8[/tex]
And the total distance given the velocity is given by:
[tex]\displaystyle \int_{a}^{b}|v(t)|\, dt[/tex]
So, the total distance traveled by the particle from t = 1 to t = 6 will be:
[tex]\displaystyle d=\int_{1}^{6}|-2t+8|\, dt[/tex]
The absolute value tells us that:
[tex]\displaystyle |-2t+8| = \left\{ \begin{array}{ll} -2t+8 & \quad x \leq 4 \\ -(-2t+8) & \quad x > 4\\ \end{array} \right[/tex]
So, split the integral into two parts:
[tex]\displaystyle d=\int_{1}^{4} (-2t+8)\, dt+\int_{4}^{6}(-(-2t+8))\, dt[/tex]
Integrate:
[tex]\displaystyle d=(-t^2+8t)\Big|_{1}^{4}+(t^2-8t)\Big|_{4}^{6}[/tex]
Evaluate:
[tex]\begin{aligned} d&=[(-4^2+8(4))-(-1^2+8)]+[(6^2-8(6))-(4^2-8(4)]\\ &= [16-7]+[-12-(-16)]\\ &=9+4 \\ &=13 \end{aligned}[/tex]
James drinks 2.4 litres of water in a day. Stephen drinks 1/3 more. How much water does Stephen drink? What is this in millilitres and litres?
2.4 x 1/3 = 0.8 liters more.
2.4 + 0.8 = 3.2 liters
Stephen drinks 3.2 liters which is 3,200 milliliters
Find c. Round to the nearest tenth.
Answer:
Step-by-step explanation:
A = 150°
B = 12°
C = 180 - (150 + 12) = 18°
b = 10 cm
Apply the sine rule:
[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
Plug in the values
[tex] \frac{10}{sin(12)} = \frac{c}{sin(18)} [/tex]
Multiply both sides by sin(18)
[tex] \frac{10}{sin(12)}*sin(18) = \frac{c}{sin(18)}*sin(18) [/tex]
[tex] \frac{10*sin(18)}{sin(12)} = c [/tex]
c = 14.9 cm (nearest tenth)
Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes. How many coins did he have left?
Answer:
180 coins
Explanation:
N = number of nickels (no nickels spent)
D = number of dimes initially saved
D' = number of dimes left after spending
1) N = D + 43
2) D' = D - 17
3) N = 2*D' = 2*(D - 17)
Set equations 1) and 3) equal to each other and solve for D:
D + 43 = 2*(D - 17)
D + 43 = 2*D - 34
D = 43 + 34 = 77
N = D + 43 = 77 + 43 = 120 nickels left
D' = D - 17 = 77 - 17 = 60 dimes left
Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)
Number of nickels 120, number of dimes 60 and total number of coins 180.
Given that, Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let
N = number of nickels (no nickels spent)
D = number of dimes initially saved
D' = number of dimes left after spending
N = D + 43 ..........(1)
D' = D - 17 ..........(2)
N = 2×D' = 2×(D - 17) ..........(3)
Set equations (1) and (3) equal to each other and solve for D:
D + 43 = 2×(D - 17)
D + 43 = 2D - 34
D = 43 + 34 = 77
N = D + 43 = 77 + 43 = 120 nickels left
D' = D - 17 = 77 - 17 = 60 dimes left
Total coins left = 120 + 60 = 180 coins
Therefore, number of nickels 120, number of dimes 60 and total number of coins 180.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
Back
Next
It looks like 28inches
—————-
3.5 feet
Which side lengths form a right triangle? Choose all answers that apply
Answer:
B.
Step-by-step explanation:
[tex] \sqrt{65} [/tex]
is about 8 and it passes the sum test
for a, the sum of 2,15 must be greater than 17 and its equal to so no
PLS ANSWERRRRRRRRRRR
Brittany is giving her sister 2/5 of her shell collection . How many 1/15s of her shell collection is she giving her sister?
Answer:
Brittany is sharing number of [tex]\frac{1}{15}[/tex]s with her sister = 6
Step-by-step explanation:
Let the shell collection of Brittany = x
She is giving [tex]\frac{2}{5}[/tex] of her shell collection to her sister.
Therefore, shells received by her sister = [tex]\frac{2x}{5}[/tex]
[tex]\frac{1}{15}[/tex]th of her shell collection = [tex]\frac{x}{15}[/tex]
Number of [tex]\frac{1}{15}[/tex]s her sister received = [tex]\frac{\text{Total shells received by Brittany's sister}}{\frac{1}{15}th \text{part of Brittany's shells}}[/tex]
= [tex]\frac{\frac{2x}{5}}{\frac{x}{15} }[/tex]
= [tex]\frac{2x}{5}\times \frac{15}{x}[/tex]
= 6
Therefore, number of [tex]\frac{1}{15}[/tex] received by her sister = 6
A student ask the question, "what is a plant?" this is NOT a testable question because. SCIENCE
Demi has 221 songs on her phone. The songs take up 884 megabytes of storage . Each song takes up same amount of space . How many megabytes do 135 of these songs take up?
Answer:
540 megabytes
Step-by-step explanation:
We will first need to find out how much space a singular song will take up. We will do this by the storage taken up (884) by the number of songs she has:
884 / 221 = 4 mb taken up per song
Then we want to find out how many megabytes 135 of these songs take up, so we will multiply the mb taken up per song (4) by the number of songs we want to find (135):
4 x 135 = 540 megabytes
Edit: made a mistake in my original answer, apologies!
PLEASE HELP I ATTACHED THE PICTURE
Answer:
option 3 is correct
Step-by-step explanation:
because ....
It has to be Option 3/C
Exlaination: I have done this problem before and got it right.
What is this fraction shown above?
Answer:
The Fraction show above is 2/8
Step-by-step explanation:
#Hope it helps
(3x^2 + 8x - 4 ) -(-x^2 +5x +2) simplify
Answer:
4x^2+3x-6
Step-by-step explanation:
Answer:
4x^2+3x-2
Step-by-step explanation:
I hope this helps
Please answer quick! I have a headache and I don't want to do the work.. Giving brainliest to the RIGHT ANSWER.
How many 1/8's are in 25?
Answer:
There are 200 1/8's in 25.
Step-by-step explanation:
If I am thinking of this correctly then there are 200. Basically, what how I interpreted this is that you mean 8 1/8's make up 1. and you need 25 whole 1's. If that is the case the correct answer is 200.
200 1/8. Hope this helps and feel better!
i need help on this question
Answer:
90in²Step-by-step explanation:
According to the question
The area of the shape=
(11+4)×6 in²
15×6 in²
90in²
I need help on this ?
Answer:
The Void
Step-by-step explanation:
no one can help you now
Put the expressions in order from least to greatest value
Answer:
Least: [tex]\sqrt[6]{64}[/tex]
2nd least: ([tex]\sqrt{64}[/tex])²
2nd greatest: [tex]\sqrt{81}[/tex] · [tex]\sqrt{81}[/tex]
Greatest: 1/64^-2
Step-by-step explanation:
[tex]\sqrt[6]{64}[/tex] = 2
([tex]\sqrt{64}[/tex])² = 64
[tex]\sqrt{81}[/tex] · [tex]\sqrt{81}[/tex] = 9 · 9 = 81
1/64^-2 = 4,096