Answer:
Step-by-step explanation:
The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.
The whole journey took him 1hr.
Let S denotes the average speed (in km/hr) for the first 40 km.
Hence we get the following relation,
40/S + (90 - 40)/(S + 20) = 1
or 50/(S + 20) = 1 - 40/S = (S - 40)/S
or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0
or S = 80 (km/hr) [Ans]
[S cannot be negative value]
What is the greatest integer that satisfies the inequality below?
Answer:
Step-by-step explanation:
- 2x > 17
x < 17 ÷ ( - 2 )
x < - 8.5
x ∈ ( - ∞ , - 8.5 )
The greatest integer that satisfies the inequality is ( - 9 )
2
For the following Arithmetic Sequence, find the explicit form, and then find a 40
11, 1,-9, -19, ...
a40 =
an=
Answer:
see explanation
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then
[tex]a_{n}[/tex] = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula
Using the explicit formula to find a₄₀ , then
a₄₀ = 21 - 10(40) = 21 - 400 = - 379
-1/5 x 15/16 get 70 pts if u answer thisss tysmmm<3
Answer:
[tex]\frac{-3}{16}[/tex]
Step-by-step explanation:
[tex]\frac{-1}{5}[/tex] × [tex]\frac{15}{16}[/tex]
=> [tex]\frac{-15}{80}[/tex]
=> [tex]\frac{-3}{16}[/tex]
Hoped this helped.
Find the slope of the line that passes through each pair of points (-7,-6) (3, -6)
Answer:
0
Step-by-step explanation:
Slope = Change in Y/Change in X
Slope = -6 - (-6)/3 - (-7)
Slope = 0/10
Slope = 0
This is a horizontal line
-Chetan K
Answer:
Let (-7, -6) be (x1, y1)
and (3, -6) be (x2, y2)
The slope can be found with [tex]\frac{y2-y1}{x2-x1}[/tex]
Substitute in values:
[tex]\frac{-6-(-6)}{3-(-7)} =0[/tex]
The slope is 0. (It is a horizontal line.)
3/7×2 5/6=
i just dont know what the answer is like my brain is really bad in the mornings
Answer:
3/7*2 5/6= 17/14 = 1 3/14 ≅ 1.2142857
Step-by-step explanation:
Conversion a mixed number 2 5/6 to a improper fraction: 2 5/6 = 2 5/6 = 2 ·6+ 5/6 = 12 + 5/6 = 17/6 1) Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6
2) Add the answer from previous step 12 to the numerator 5. New numerator is 12 + 5 = 17
3) Write a previous answer (new numerator 17) over the denominator 6.
Two and five-sixths is seventeen sixths Multiple: 3/7 * 17/6 = 3 · 17/7 · 6 = 51/42
= 17 · 3/14 · 3 = 17/14. then you simplify.
I hope this helps
4f2 + 3h - g+f
A. 7fhg
B. 4f + 3hgf
C. Can’t be simplified
D. 5f2 + 3h - g
Answer:
can't be simplified or you can add you get the answer
hey i need help on this question even if you can only answer one of the three boxes
but if someone can do 2 or more that would be very apricated
thanks!
Answer:
I don't see boxes?
Step-by-step explanation:
I do not see any boxes sorry for the inconvenience
Given m||n, find the value of x.
m
t
(5x-5)
(6x-27)
Step-by-step explanation:
due to the laws of symmetry of the angles of 2 crossing lines (and parallel lines are simply repeating and mirroring these angles), both angles must be equal.
5x - 5 = 6x - 27
-5 = x - 27
x = 22
-2 1/4 x -4/5
please help
Answer:
1.8
Step-by-step explanation:
-2 1/4 x -4/5 = 9/5
= 1 4/5
= 1.8
level Easy:
A football team loses 6 yards on their first play. it gains 8 yards on the next play. What is the sum of -6+8?
good luck :))
Answer:
2
Step-by-step explanation:
when you add -6 and 8 you'll get 2
The home team scored 3 touchdowns. The visiting team scored 4 field goals. Which team scored more points? Show your strategy
Answer:
The home team
Step-by-step explanation:
1 touchdown is equal to 6 points (plus a extra point for the kick)
1 field goal is worth 3 points
If you are including the extra point as the touchdown it would be 7 pts times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)
For the 2nd team the have 3pts times 4 field goals which would put the visiting team at 12 points total.
The home team scored more points at 21 points versus the visiting team which had only scored 12 points.
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
The jar contains ___nickels and ___ dimes.
10 nickels = $0.50
10 dimes = $1.00
So- 10 nickels + 10 dimes = $1.50
1.If the triangle with vertices A(3,-9) B(-1, 7) C(5, 0) is reflected over the y-axis, what are the coordinates of
the new triangle A'B'C'?
Answer:
25 times 58
Step-by-step explanation:
guessed
HELP ORGENT
Tyrone has $95 to spend. He already bought pants for $22. How many $5 t-shirts can he buy if he wants to have at least $15 left over?
a. Write an inequality that demonstrates this situation
b. solve your inequality
c. Explain what your answer means to Tyrone
Answer:
it should be a.
Step-by-step explanation:
Which ordered pair is NOT in the solution set of −2x + 3y ≥ 12?
A. (-3,5)
B. (-5,0)
C. (0,6)
D. (-5,3)
Answer:
B
Step-by-step explanation:
covert 104% into a decimal
Answer:
104 divided by a 100
1.04
Step-by-step explanation:
it is the same as moving the decimal two places to the left
Select the correct answer.
Which equation could represent the graphed cubic function
Answer:
b
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
got it right
Please help me please help mee
Answer:
1.-profit
2.-$300
3.-25%
Step-by-step explanation:
1.- 1500-1200=300+
2.-(1)
3.-1200/100= 12
300/12= 25
If
x
=
2
and
y
=
6
, evaluate the following expression:
3
(
3
y
−
4
x
)
HELPPPPPPP
Find the value of x for both
Answer:
x = 18 and x = 30
Step-by-step explanation:
The 3 angles lie on a straight line and sum to 180° , that is
90 + x + 4x = 180
90 + 5x = 180 ( subtract 90 from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
-------------------------------------
The 2 angles are corresponding and congruent , then
x = [tex]\frac{1}{2}[/tex] x + 15 ( multiply through by 2 to clear the fraction )
2x = x + 30 ( subtract x from both sides )
x = 30
Answer:
1. x=18 2. x=30
Step-by-step explanation:
For 1. the equation would be x+4x =90 as it is a 90 degree angle
So 5x=90 then x = 18
For 2. The 2 angles are the same so we set them equal to each other
x=1/2x+15
2x=x+30
x=30
Find the 60th term of the arithmetic sequence -10, 8, 26,
Answer:
a₆₀ = 1052
Step-by-step explanation:
There is a common difference between consecutive terms , that is
8 - (- 10) = 26 - 8 = 18
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = 18 , then
a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052
Answer:
a(60) = 1052
Step-by-step explanation:
Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again. Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:
a(n) = -10 + 18(n - 1)
Therefore, the 60th term is
a(60) = -10 + 18(59), or
a(60) = 1052
Solve the proportion for v.
6
0]>
9 =
100
V
v = [?]
Answer:
v = 12
Step-by-step explanation:
[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross- multiply )
6v = 8 × 9 = 72 ( divide both sides by 6 )
v = 12
Answer:
v=12
9/v =6/8 (cross - multiply)
6v = 8 x 9 = 72 (divide both sides by 6)
v = 12
Step-by-step explanation:
that's my answer
y(a -b) =c(y+ a); y
Answer:
y = ac / (a - b - c)
Step-by-step explanation:
y(a - b) = c(y + a)
Distribute
ay - by = cy + ac
Subtract cy from both sides
ay - by - cy = ac
Factor out y
y(a - b - c) = ac
Divide both sides by (a - b - c)
y = ac / (a - b - c)
2. What is the average rate of change of the function f(x)=3x2 - 12 over the interval [1, 3]?
Answer:
5.2. Explanation: The average rate of change of the function f(x) on the interval [a,b] is: average rate of change=f(b)−f(a)b−a.
Step-by-step explanation:
Mrs. Rush puts $300 in a bank account that earns 5% interest every year. How much will be in the bank after 3 years? (make sure you include the $ sign and round your answers to two decimal places
Answer:
$945 no cents so no need to round the recimals
Step-by-step explanation:
$300 times the 5% is $15 dollars in interest
so in three years it would be an additional $45 dollars
Which of the following is not an advantage of renting? a. Ease of mobility b. Fewer responsibilities c. Lower initial costs d. Restricted lifestyle Please select the best answer from the choices provided A B C D.
A restricted lifestyle is not an advantage of renting.
Option D is the correct answer.
What is renting?Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.
We have,
Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.
Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.
This means that renters do not have to worry about these tasks or expenses.
Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.
A restricted lifestyle is not an advantage of renting.
This is because renters may be limited in terms of decorating, making changes to the property, or having pets.
Renters may also have to abide by certain rules set by the landlord or property management company.
This can limit their freedom and personalization of the space.
Thus,
A restricted lifestyle is not an advantage of renting.
Learn more about renting here:
https://brainly.com/question/26268428
#SPJ5
What is the Slope of the line that passes through points (4, -2) and (3, 1)?
Question 3 options:
2
3
-2
-3
Answer:
-2.......................
If x = 9 , evaluate the following expression: x + 6
Answer:
15 very simple
Step-by-step explanation:
im always right
PLZ HELPPPPPPPPP MY SWAGGERS
Answer:
9
Hope this helps, have a nice day/night! :D
Solve for X in the triangle round your answer to the nearest 10th
Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being opposite to the angles.
so,
the opposite angle of x is
180 - 90 - 44 = 46 degrees.
x/sin(46) = 6/sin(90) = 6
x = 6×sin(46) = 4.316038802...
rounded x = 4.3