6. Two trains traveled from opposite
directions on parallel tracks toward
the bullfight town. They started
1,110 km apart at exactly the same
time. Train A's speed was 55 km/h
and Train B's speed was 85 km/h.
Would the trains have
met within 5 hours?
Answer:
They will not have met
Step-by-step explanation:
Train A will have traveled 275km in 5 hours and Train B will have traveled 425km in 5 hours. This means that they will be 700km closer to one another but still 400km apart
Cindy brought chocolate and vanilla cupcakes to school for her birthday. 15 students decided to take a cupcake, and 9 of them picked vanilla. What percentage of the students picked a vanilla cupcake?
Answer:
37.5%
Step-by-step explanation:
There are 24 students that decided to pick a cupcake at all. 9 out of 24 students chose vanilla. Therefore, 37.5% of students chose vanilla.
Find the slope of each line defined below and compare their values.
Equation of Line A:
-1=
(x – 6)
Graph of Line B:
10
7
6
5
3
2
-Q-
8-7-6
-5
-3
-2 -1
2
3
4
5
6
8
to
g
-3
The slope of Line A is
and the slope of Line B is
Therefore the slope
of Line A is
the slope of Line B.
Step-by-step explanation:
The equation of line A:
y - 1 = 0.5x - 3
y = 0.5x - 2. Hence its gradient is 0.5.
For line B, its y intercept is -8, so y = mx - 8.
When x = -4, y = -4m - 8 = 0 as shown in the graph. This means that m = -2.
So the equation of line B:
y = -2x - 8. Its gradient is -2.
Since |-2| > |0.5|, line B is steeper than line A.
The slope of the line A(1/2) > slope of line B(2).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take Points from the graph as (-4, 0) and (0, 8)
so, the slope is
m = (8-0)(0-(-4))
m = 8/ 4
m = 2
So, the slope- intercept form
y- 0 = 2(x- (-4))
y= 2x + 8
Hence, the slope of the line A(1/2) > slope of line B(2).
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
Solve for n: 4n = 2n + 6
A. 1
B. 2
C. 3
D. 4
E. 12
How many solutions exist for the equation 5(x-1)+2 = 2x+3x-3 ?
Answer:
infinite number of solutions
Step-by-step explanation:
Given
5x - 1) + 2 = 2x + 3x - 3 ← distribute and simplify
5x - 5 + 2 = 5x - 3, that is
5x - 3 = 5x - 3
Since both sides are equal then there are an infinite number of solutions to the equation.
How much would $200 invested at 6% interest compounded annually be worth after 5 years? Round your answer to the nearest cent.m
Answer:
$252.50
Step-by-step explanation:
Furture value$252.50
Total Deposits: $200
Interest Earned: $52.50
{3x+y=10
{X-4y=-1 You must solve for Y
Answer:
x = 3 and y = 1
Step-by-step explanation:
Solve the following system:
{3 x + y = 10
x - 4 y = -1
Express the system in matrix form:
(3 | 1
1 | -4)(x
y) = (10
-1)
Solve the system with Cramer's rule:
x = 10 | 1
-1 | -4/3 | 1
1 | -4 and y = 3 | 10
1 | -1/3 | 1
1 | -4
Evaluate the determinant 3 | 1
1 | -4 = -13:
x = 10 | 1
-1 | -4/(-13) and y = 3 | 10
1 | -1/(-13)
Simplify 10 | 1
-1 | -4/(-13):
x = -1/13 10 | 1
-1 | -4 and y = 3 | 10
1 | -1/(-13)
Simplify 3 | 10
1 | -1/(-13):
x = -(10 | 1
-1 | -4)/13 and y = -1/13 3 | 10
1 | -1
Evaluate the determinant 10 | 1
-1 | -4 = -39:
x = (-1)/13×-39 and y = -(3 | 10
1 | -1)/13
(-1)/13 (-39) = 3:
x = 3 and y = -(3 | 10
1 | -1)/13
Evaluate the determinant 3 | 10
1 | -1 = -13:
x = 3 and y = (-1)/13×-13
(-1)/13 (-13) = 1:
Answer: x = 3 and y = 1
Please help with d. Thank you!!
I can collect 1.6 pecks of chile peppers a day. How many liters or peppers could I collect in a week?
Answer:
11.2
Step-by-step explanation:
multiply 1.6 by 7 since that's how many days there are in a week
Answer:
11.2
Step-by-step explanation:
you collect 1.6 packs of chile peppers a day there is 7 days in a week 1.6x7=11.2
hope it helps.
You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $810 working at two separate work sites. Let the number of hours you work be y.
Answer:
Equation: 810= (90 + 24y)
y = 30 hours
Step-by-step explanation:
Given:
Site visit = $45 per site
cost per hour worked = $24
for each work site, the total amount of money earned
= site visit fee + cost for working
But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.
Therefore for TWO sites, the total amount of money earned
= site 1 visit fee + site 2 visit fee + cost for working
= (2 x site visit fee) + cost for working ------ Equation 1
We are further given that we worked y hours at the hourly work rate of $24 per hour.
Hence the cost for working
= y hours x hourly rate
= y x $24
= $24y (substituting this into equation 1 above)
for TWO sites, the total amount of money earned
= (2 x site visit fee) + cost for working
= (2 x $45) + $24y
= $90 + $24y
= $(90 + 24y)
We are also given that we have to earn $810 for two sites, hence
810 = 90 + 24y
810 - 90 = 24y
24y = 720
y = 720/24
y = 30 hours
What is the ratio of 1:2 of 1250
The largest prime factor of thirty-five is _____. 7 5 9 11
Answer:
7
Step-by-step explanation:
Since 9 and 11 do not factor 35, they are not the answer.
5 is a factor of 35, but not the largest. So, the answer is 7.
Answer:
the largest prime factor of 35 is 5
I’m stuck on this question
Answer:
x= 0.4
Step-by-step explanation:
x^2 = 4/25 (0.16)
x = 0.4 Square root both sides
D
B
8 cm
8 cm
16 cm
С
Find the area of triangle ABC.
Can someone please help me with these practice problems? *URGENT*
-3/4 x + 1/2 = 3/4 solve for x please
Answer:
[tex]x = -\frac{1}{3}[/tex]
Step-by-step explanation:
1/2 = 2/4Plug 2/4 in: -3/4x + 2/4 = 3/4Subtract 2/4 from each side, so it now looks like this: -3/4x = 1/4Divide each side by -3/4, so it cancels out the -3/4 next to x. It should now look like this: x = -1/3I hope this helps!
In which graph is y a direct variation of x?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
The line is going through the origin.
when twelve is subtracted from three times a certain number and the number and the is divided by four, the answer is eighteen. find the number?
Answer:
[tex]<font color=pink>[/tex]
According to the question, we get the equation :
[tex]<font color=blue>[/tex]
3x-12=18
[tex]<font color=black>[/tex]
⛈Let's find x :
[tex]3x - 12 = 18 \\ ⟹ 3x = 18 + 12 \\ ⟹ x = \frac{30}{3} \\ ⟹x = 10[/tex]
Hope you understand
A number is 2 /5 times another number. Their sum is 70. Find the numbers.
Answer:
50,20
Step-by-step explanation:
let the two numbers be x and y respectively.
According to the question,
y=2/5 times of x
Or,
y= 2x/5 ..........(1)
Again,
or, x+y=70
or, x+2x/5=70
or, (5x+2x)/5=70
or, 7x=350
therefore x=50
putting the value of y in equation (1)
y=2x/5
y= (2×50)/5
therefore, y=20
Answer:
x = 175
Step-by-step explanation:
given:
A number is 2 /5 times another number. Their sum is 70.
find: the numbers (coefficient)
solution:
cross multiply
2 ( x ) = 70
5
2 (x) = 70 (5)
2 (x) = 350
x = 350
2
x = 175
check:
2 ( x ) = 70
5
2 ( 175 ) = 70
5
350 = 70
5
70 = 70
If tn is 2n+3 find t7 t30 and s10
Answer: t₇ = 17 t₃₀ = 63 S₁₀ = 140
Step-by-step explanation:
t₇ = 2(7) + 3
= 14 + 3
= 17
t₃₀ = 2(30) + 3
= 60 + 3
= 63
S₁₀ = (t₁ + t₁₀)/2 × 10
= (5 + 23)/2 × 10
= 28/2 10
= 14 × 10
= 140
2x + 3 = -7
What is the answer?
Answer:
x = -5
Step-by-step explanation:
Original Equation: 2x + 3 = -7
Subtract 3 from both sides:
2x + 3 - 3 = -7 - 3
Simplify:
2x = -10
Divide both sides by 2:
[tex] \frac{2x}{2} = \frac{ - 10}{2} [/tex]
Simplify:
x = -5
Randy walks his dog each morning. He walks StartFraction 7 Over 12 EndFraction of a mile in 7 minutes. How many miles does he walk in 1 minute?
i found the answer its 1/12 you just dived 7 and 7 and then leave the bottom number alone, and then what do you get 1/12.
Answer:
1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
I got the question purposely wrong so I could see the right answer
For Thanksgiving, a family of 9 is trying to share 4 store-bought pies fairly. If each pie is pre-cut into 8 slices, and everyone gets the same number of slices, how many slices will be left over?
Answer:
5
Step-by-step explanation:
6x+11=3x-1, what is x
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]6x+11=3x-1[/tex]
To solve this equation, we must first minus(subtract) 3x from both sides of the equation.
[tex]6x+11-3x=3x-1-3x[/tex]
And this equals:
[tex]3x+11=-1[/tex]
Now we must subtract again, but 11 times now.
[tex]3x+11-11=-1-11[/tex]
And this equals:
[tex]3x-12[/tex]
Now let's make this into a fraction to divide.
[tex]\frac{3x}{3}[/tex]
We get [tex]\frac{-12}{3}[/tex]
Now we got our answer:
[tex]x=-4[/tex]
Hope this helps!
Answer:
-4
Step-by-step explanation:
First you wanna subtract the 1 from the 11 then add subtract the 3x from the 6x and you should have 3x = -12 the. You just divide -12 by 3
What time is 3 ¾ hours after 10:37 pm? ( Your answer must contain am or pm )
Answer:
2:23
Step-by-step explanation:
Answer:
10:37 pm + 3 3/4 hours = 2:22 am
Step-by-step explanation:
10:37
3: 45
2:22
+ :23 minutes from 3:45 to 10:37, which gets you to 11 pm, leaves you with 3 hours and 22 minutes
11pm + 3:22= 2:22 am
PLEASE HELP ME! How do I find x?????????
Answer:
Here you have to use the vertically opposite angle
your answer is 35
because vertically opposite angles are equal
x=35
Step-by-step explanation:
Answer:
x = 35
Step-by-step explanation:
X and 35 are vertical angles and vertical angles are equal
The distance to the sun in inches is 1.116 x 10^9 How many fireflies would it take to reach the sun if they were put end to end?
show work please
Answer:
THE DISTANCE OF SUB IS 5892480000000IN
1MI=63630 IN
930000000MI=93000000×63360 IN=589248000000IN
X=NUMBER OF FIREFLIES
X=0.4IN=5892480000000IN
X=58924800000000IN×0.4IN
X=147312000000000
Answer:
This is wrong, I used this answer too and it was wrong.
Step-by-step explanation:
Pls help me on this question ASAP I wil make the anyone who can answer this for me the brainliest
Answer:
Forget it, i'm confused
Step-by-step explanation:
(3x+2)+(5x-5)=8x-3
(17x-7)-(8x-3)=9x-10
Double Check
9x-10+5x-5+3x+2
17x-15+2
17x-13
I need the answer and the work (it’s geometry)
Answer:
D
Step-by-step explanation:
The starting point is B and the ray extends towards A.
So the asnwer is D.
Angie and Kenny play online video games. Angie buys 1 software package and 1 month of gameplay. Kenny buys 2 software packages and 3 months of gameplay. Each software package costs $50. If their total cost is $218, what is the cost of one month of gameplay?
Answer:
The cost of one-month gameplay is $39.33 or 39.
Step-by-step explanation:
Let the cost of one month = x
The cost of software = $50
The total amount that can be spent = $218
Therefore, we have to find the cost of one month of game play. Here is the following equation.
218 = (50 + x) + (50 + 2x)
218 = 100 + 3x
218 – 100 = 3x
118 = 3x
x = 118 / 3
x = 39.33 or 39
thus, the cost of one-month gameplay is $39.33 or 39.