Answer:
The average speed of the car is 90 km/h
Step-by-step explanation:
The rule of the distance id D = v × t, where
v is the speedt is the time∵ A car can travel 450 km in the same time it takes a train to travel
350 km
→ That means the time of them are equals
∴ Time of the car = Time of the train
→ From the rule above t = [tex]\frac{D}{v}[/tex]
∵ D(car) = 450 km and D(train) = 350 km
∵ The car's average speed is 20 km/h faster than the average speed
of the train
→ Assume that the average speed of the train is x km/h
∴ v(train) = x km/h and v(car) = (x + 20) km/h
→ Use the rule of the time above to find the time of each one
∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]
∵ t(train) = [tex]\frac{350}{x}[/tex]
∵ t(car) = t(train)
∴ [tex]\frac{450}{(x+20)}[/tex] = [tex]\frac{350}{x}[/tex]
→ By using cross multiplication
∵ 450 × x = 350 × (x + 20)
∴ 450x = 350(x) + 350(20)
∴ 450x = 350x + 7000
→ Subtract 350x from both sides
∴ 100x = 7000
→ Divide both sides by 100 to find x
∴ x = 70
∵ x represents the average speed of the train
∴ The average speed of the train = 70 km/h
∵ The average speed of the car = x + 20
∴ The average speed of the car = 70 + 20
∴ The average speed of the car = 90 km/h
1
A line has a slope of 5 and a y-intercept of -2
Answer:
1
Step-by-step explanation:
Answer:
(2/5,0)
Step-by-step explanation:
The equation to find a line is mx+b=y. In this case m is 5, and b is -2.
5x+-2=y
Since we want to find the x-intercept, y has to be 0.
So: 5x+-2=0
5x=2
x=2/5
Combine like terms, showing one step per line. Justify each step using a rule of algebra or "Combining Like Terms." You may need to add extra rows. Expression Justification 7x + 3 + 9x + 15 Given 7x
Answer:
By combining like terms, we have 16x + 18
Step-by-step explanation:
Here, we want to combine like terms
we simply bring terms that are similar together in this case
Thus, we have
7x + 9x + 3 + 15
16x + 18
Which of the following graphs shows the set of points that represents the number of hours that Leah
can work in order to earn at least $120 and not work more than 20 hours per month?
Answer:
I think it’s A,C, and E
Step-by-step explanation:
I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .
What are the coordinates of the image of triangle ABC after dilation with the center (0,0) and the scale factor of 3?
Answer:
1.5
Step-by-step explanation:
Hailey is going to use a computer at a Internet cafe. The cafe charges $1.50 for every minute using a computer on top of an initial charge of $4. Make a table of values and then write an equation for C, in terms of t, representing the total cost of using a computer for t minutes at the Internet cafe.
Answer:
The equation is C(t) = 1.50t + 4.00 and the data table is below.
Step-by-step explanation:
We are given that a cafe charges $1.50 for every minute that someone uses the internet. The cafe also charges an initial $4 fee to use the internet.
We need to find a function, in terms of t, that will find these values.
We can treat this as a linear equation. If we initially pay $4, this is acquired before we pay the fee every minute. Therefore, this would be our y-intercept at x = 0. Our first coordinate is (0, 4).
Secondly, if we are charged every minute, this would be a recurring payment and therefore we would spend $1.50 after each minute elapses. This gives us our slope: 1.50 or [tex]\frac{3}{2}[/tex].
Therefore, we can set up our function.
C is the total cost and t is the time, in minutes, that internet is used at the cafe. Our equation can be set up as [tex]C(t) = 1.50t + 4.00[/tex].
Now, we can create a table of values for t = 0 to t = 5 to determine what C(t) is at each of these prime intervals.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{C} & \textbf{t} \\ \cline{1-2} a & 0 \\ \cline{1-2} b & 1 \\ \cline{1-2} c & 2 \\ \cline{1-2} d & 3 \\ \cline{1-2} e & 4 \\ \cline{1-2} f & 5 \\ \cline{1-2} \end{array}[/tex]
This is what our table looks like, but we need to fill the C column. Therefore, we can use substitution of our t-values into the equation and solve for C.
[tex]\bullet \ \text{For t = 0,}[/tex]
[tex]C(0) = 1.50(0) + 4\\\\C(0) = 0 + 4\\\\C(0) = 4.00[/tex]
[tex]\bullet \ \text{For t = 1,}[/tex]
[tex]C(1) = 1.50(1) +4\\\\C(1) = 1.50 + 4\\\\C(1) = 5.50[/tex]
[tex]\bullet \ \text{For t = 2,}[/tex]
[tex]C(2) = 1.50(2) + 4\\\\C(2) = 3.00 + 4\\\\C(2) = 7.00[/tex]
[tex]\bullet \ \text{For t = 3,}[/tex]
[tex]C(3) = 1.50(3) + 4\\\\C(3) = 4.50 + 4\\\\C(3) = 8.50[/tex]
[tex]\bullet \ \text{For t = 4,}[/tex]
[tex]C(4) = 1.50(4) + 4\\\\C(4) = 6.00 + 4\\\\C(4) = 10.00[/tex]
[tex]\bullet \ \text{For t = 5,}[/tex]
[tex]C(5) = 1.50(5) + 4\\\\C(5) = 7.50 + 4\\\\C(5) = 11.50[/tex]
Now, we can insert these values into our table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{C} & \textbf{t} \\ \cline{1-2} 4.00 & 0 \\ \cline{1-2} 5.50 & 1 \\ \cline{1-2} 7.00 & 2 \\ \cline{1-2} 8.50 & 3 \\ \cline{1-2} 10.00 & 4 \\ \cline{1-2} 11.50 & 5 \\ \cline{1-2} \end{array}[/tex]
Therefore, our equation is C(t) = 1.50t + 4.00 and our data table is above.
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
Find the slope of the line that passes through the points (–2, 4) and (5, 4).
Answer:
slope is 0
Step-by-step explanation:
Answer:
slope is 0
Step-by-step explanation:
I used another app to find the awnser for you
Please help what is the answer
Answer:
7^12=13,841,287,201
Step-by-step explanation:
when you are putting a power to a power, you just multiply the powers by each other
Answer:
7^12
Step-by-step explanation:
(7^6)^2
7^12
Complete each ordered pair so that it is a solution of the given linear equation.
x-3y = -2;( ,1). (-8, )
Answer: (1, 1), (-8, -2)
Step-by-step explanation:
Let’s start with the first solution: ( , 1)
We know that the y-coordinate for this solution is 1, so we can plug that in to find the x-coordinate.
x - 3y = -2
x - 3(1) = -2
x - 3 = -2
x = -2 + 3
x = 1
Therefore, for this solution x = 1, so our final solution is (1, 1).
Now let’s work on the second solution: (-8, ).
We know that the x-coordinate for this solution is -8, so we can plug that in.
x - 3y = -2
-8 - 3y = -2
-3y = -2 + 8
-3y = 6
y = -2
Therefore, for this solution y = -2, so our final solution (-8, -2).
I need help please : )
Answer:
i think the answer is 10x^3-12^2-198x-40
Help please ;-; The values in the table represent a linear function.
x 1 2 3 4
f(x) −3 −1 1 3
What is the function rule?
Write the rule in function notation, using the slope-intercept form of a line.
Enter your answer in the box.
Answer:
The function rule in slope-intercept form is:
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Step-by-step explanation:
The slope-intercept form of a function is given as:
[tex]y = mx+b[/tex]
Here
m is the rate of change of function and b is the y-intercept
The rate of change is calculated as:
[tex]m = \frac{difference\ in\ y}{difference\ in\ x}[/tex]
For this, any two pairs of input and output can be taken.
So using the pairs (1,-3) and (2,-1)
[tex]m=\frac{2-1}{-1+3}\\=\frac{1}{2}[/tex]
Putting the value of slope in slope-intercept form
[tex]y = \frac{1}{2}x+b[/tex]
Putting (1,-3) in the equation
[tex]-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}[/tex]
Putting the value of b
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Hence,
The function rule in slope-intercept form is:
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Arizona iced tea is manufactured in a warehouse by machines that bottles
the iced tea bottles and puts the caps and labels on them. There is a
special machine that bottles iced tea so that every 8th bottle gets a green
label and every 6th bottle gets a pink cap.
What number bottle will be the first bottle to get a green label and a
pink cap?
On the 100th year Anniversary every 10th bottle got a special edition bottle
that has a gold band.
What number bottle will be the first to get a green label, a pink cap
and a special edit
Answer:
to get a green and pink it would be 24
i cant find find the special edit sorry
Step-by-step explanation:
what is the 101st term for the sequence 13, 9, 5, 1... ?
Step-by-step explanation:
a=13d=13-9=4[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {n}{2}}\left [2a-(a-1)d\right][/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf S_101={\dfrac {101}{2}}\left [26 (12)4\right] [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 50.5×1248 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf S_101=63504[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_n=a+(n-1)d [/tex][tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+(101-1)-4 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+100(-4)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 13-400 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_101=-387 [/tex]
what is an equation of the line that passes through the points (-2,-7) and (-1,-3)
Answer:
y=4x+1
Step-by-step explanation:
First you need to solve for slope using the equation:
y2-y1/x2-x1
It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.
(-3)-(-7)/(-1)-(-2)=-4/-1=4
Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.
(Lets use point one)
-7=4(-2)+b
-7=--8+b
1=b
Last we can put it all together.
y=4x+1
What is the domain of the relation [(x,y):y=x(x-3)/(x+4)(x-7)
Answer:
i think its b
Step-by-step explanation:
Suppose you and your colleagues have identified three reliable and recent polls. Looking at the results of all three, you find their p-values to be: 0.058 0.026 0.045 Barring any major incidents between now and election day, how much evidence do you have to predict your candidate will win the election
Answer:
The answer is "Pretty confident our candidate will win".
Step-by-step explanation:
All the following theories:
[tex]H_o[/tex]: The loss of our candidate
[tex]H_a[/tex]: Our candidate
P values of 0.058, 0.026 and 0.045 are defined.
All values are below 0.10, but 2 of them will be below 0.05, which indicates very good proof of Ha. Therefore, the right reply is that our candidate will win very comfortably.
Find the area of the circle
Given the cos(θ) = 5/13 the ratio for sine of θ is
. Enter your answer as a fraction.
helppppp help help helppppp help help thanks
Answer:
60 percent
Step-by-step explanation:
Answer:
60% are roses
Step-by-step explanation:
1. Add all the numbers together to find the total
15+6+4= 25 total flowers
2. Put the total as the denominator, and the rose count as the numerator since we are trying to find what percentage are roses
15/25
3. Simplify fraction
15/25= 3/5
4. Divide numerator by denominator
300/5
5. Simplify
300/5= 60%
2. What number is equal to five units + three tenths? Circle the correct answer.
0.53
0.35
5.3
3.5
53
35
Answer:
35
Step-by-step explanation:
5*1+3*10
5+30 = 35
Which ordered pair would form a proportional relationship with the point graphed below?
(10.-20)
(-30, 20)
(-10,5)
(35, -20
How can I figure out my screentime password.
100 points to whoever can tell me exactly how to do it and maybe even brainless if it works and it has to be an actual answer not just a random one!!!
Answer:
Screen record as your parent puts the password in or wipe off your screen and give the parent your phone to put the password in then look at the fingerprint circles and that where each number is, then try all the possible combinations
Step-by-step explanation:
Use the distributive property to write an equivalent expression without parentheses.
9 (a + 8)
Check all that apply.
Distribute 9, by multiplication, to the variable, a, and to the constant, 8.
Write the two multiplications, 9(a) + 9(8)
The expression 9(a) is written as 9a.
The expression 9(8) equals 72.
The equivalent expression is 9a + 8.
The equivalent expression is 9a + 72.
100 points if anyone can give me the RIGHT answers to this question!
Answer:
all except e
Step-by-step explanation:
Answer:
all of them acept number 1
Step-by-step explanation:
i just want points
Find the product 822x9=
Answer:
7398
Step-by-step explanation:
Answer:
7398
I mean, this is the answer. You COULD just use a calculator, but here.
Glad I can help. :)
HELLPPPP PLEASEEE!!
A pack of gum costs $1.49. It has 25 pieces in a pack. How much does it cost to chew each piece of gum?
Answer:
$0.05
Step-by-step explanation:
<3
Kendrick caught 22 rainbow trout and 18 tiger trout while fishing last month. What percent of the trout were tiger trout?
Answer:81%
Step-by-step explanation:
Answer:
60% tiger trout
Step-by-step explanation:
First, do 22+18= 40
Then, when doing % its always out of 100. So, 100 - 40= 60%
Which means, there were 60% Tiger trout.
What type of sequence do these figures belong?
Answer:
what figures? pls share the picture of the figures
Step-by-step explanation:
How do you do this question?
Answer:
(a) >, decreasing
(b) 0, horizontal
Step-by-step explanation:
(a) dy/dt = eᵗ (y − 1)²
eᵗ is always positive, and (y − 1)² is always positive. So dy/dt is always positive. Meaning the graph of the solution can never be decreasing.
(b) When y = 1, dy/dt = e¹ (1 − 1)² = 0. However, this graph does not have a horizontal tangent line at y=1, so this is not the solution of the differential equation.
If Sally makes $7.25 / hour and works 40 hours plus 8 hours overtime what will she get paid?
Answer:
$348
Step-by-step explanation:
40 + 8 = 48 x 7.25 = 348
I NEED THE ANSWER QUICK
9514 1404 393
Answer:
4^0
Step-by-step explanation:
The rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
So, your expression simplifies to ...
[tex]4^5\times4^{-7}\div4^{-2}=4^{5-7-(-2)}=\boxed{4^0}[/tex]
Please help me!!!!!
Answer:
The answer is A.
Step-by-step explanation:
The ratio is 1 second/2 centimeters, but since they're asking for a unit ratio, you need to divide the top and bottom by 2 which gives you a unit ratio of ½ second/1 centimeter.
Answer:
Perhaps, B or A
Step-by-step explanation: