Answer:
91.6 km/h
Step-by-step explanation:
Let v = average speed of van = 65 km/h and v' = average speed of car. Let t be the time the car starts to move. The van started 35 minutes earlier at t' = (t + 35/60) h.
Since distance d = vt where v = velocity and t = time, the distance moved by the van d = vt' = v(t + 35/60) and that moved by the car is d' = v't.
Since the car catches up with the van after it had moved a distance of 130 km, d = d' = 130 km.
So d = v(t + 0.583)
Substituting d = 130 km and v = 65 km/h, we have
130 km = 65 km/h(t + 0.583)
130 km = (65t + 37.895 )km
subtracting 37.895 from both sides, we have
130 km - 37.895 km = 65t
92.105 = 65t
dividing both sides by 65, we have
t = 92.105/65
= 1.417 h
≅ 1.42 h
Since d = d' = v't,
v' = d'/t
= 130 km/1.42 h
= 91.55 km/h
≅ 91.6 km/h
So, the average speed of the car is 91.6 km/h
A builder makes staircases where each step is 28 cm long and rises 18 cm so people don't trip. Every staircase has a stringer - a diagonal support connecting all of the steps.
Marco needs to buy some dog food at the nearest store six Pazzo dog food cost $25.50 how much would Michael spend on five bags of dog food
Step-by-step explanation:
Since 6 Pazzo dog food cost $25.50,
5 Pazzo dog food would cost $25.50 * 5/6 = $21.25.
Hence Michael would spend $21.25.
Answer:
$21.25
Step-by-step explanation: $4.25 for each bag so $4.25 x 5= $21.25
What is the area???????
Answer: 56mm
Step-by-step explanation:
A=(a+b)/2 x h
A=(4+12)/2 x 7
A=16/2 x 7
A=8 x 7
A= 56mm
witch of the following best forms the figure shown. iready
What is the cos x =1.7%2 and x is acute angle
Given :
cos x = 1.7/2 .
Also, x is an acute angle.
To Find :
The value of angle x.
Solution :
cos x = 1.7/2
Applying cos inverse both the sides, we get :
[tex]cos ^{-1} (cos\ x ) = cos^{-1} \dfrac{1.7}{2}\\\\x = cos^{-1} \dfrac{1.7}{2}[/tex]
Calculating the value of [tex]cos ^{-1} \dfrac{1.7}{2}[/tex] from calculator, we get :
x = 31.79°
Therefore, the acute angle x is 31.79°.
Which equation matches the graph?
In the xy graph, the range of the x axis is zero to four by increment of one. The range of y axis is zero to eight by increment of one. On both axes every alternate tick mark is labeled. On the graph, there is a line passing through the points (2, 2) and (0, 8).
Answer:
[tex]y = -3x +8[/tex]
Step-by-step explanation:
The graph diagram is not given; however, the equation can be solved from the given points
(2,2) and (0,8)
This is represented as:
[tex](x_1,y_1) = (2,2)[/tex]
[tex](x_2,y_2) = (0,8)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8 - 2}{0 - 2}[/tex]
[tex]m = \frac{6}{- 2}[/tex]
[tex]m =-3[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 2 = -3(x - 2)[/tex]
[tex]y - 2 = -3x + 6[/tex]
Add 2 to both sides
[tex]y - 2 +2= -3x + 6+2[/tex]
[tex]y = -3x + 6+2[/tex]
[tex]y = -3x +8[/tex]
please help with al parts! I will give brainliest to smartest answer!
Answer:
A: 428.75/ 24.5 = $17.50 per sq foot
B: 62.50*24.50 = $1,531.25
C: 428.75 + 1,531.25 + 137.50 = $2,097.50 for the total replacement
Step-by-step explanation:
Need help with this question. I will give Brainliest!
Answer:
See below
Step-by-step explanation:
a) The vertex is (0,2) so the standard form equation is (x-0)^2=4p(y-2). Since p=1/(4a) and a=1/8, then p=1/(4(1/8))=1/(1/2)=2. This makes the equation now x^2=8(y-2). Given the focus point for a vertical parabola is (h,k+p) then the focus point is (0,2+2) which is (0,4)
b) They are both 4 units away
c) I can't solve
d) I can't solve
A taxi company charges an initial fee of $1.95, plus $1.60 per mile driven. Shelly has $22.00 to spend on a taxi ride. Which inequality represents the number of miles, m, that Shelly can ride in a taxi
Answer:
Equation
1.95+1.6m ≤ 22
If solved
m ≤ 12.53
Step-by-step explanation:
SO we know the initial fee is 1.95
and for every mile driven, its $1.6
And we know that Shelly can spend less then or exactly the price of 22.
We know that m is miles driven
So we can make an equation
1.95+1.6m ≤ 22
1.95 can’t change since initial fee
1.6*m becuase its 1.6 for every mile driven and since “m” miles were driven, we multiply that by 1.6
Now it can’t go over 22 but it could be less than 22.
So this equation makes sense
If we solve it, it would be about m ≤ 12.53 miles
Find the equation of the line
Use exact numbers
Y=blankx+blank
Step-by-step explanation:
The equation of the line is y = -1.5x + 3.
What is the slope of the line on the graph
Answer:
Step-by-step explanation:
-2/6=-1/3
-1/3 is the slope.
formula is rise/run
what is the equation for this situation
what fraction is 3/4 equivalent to?
Answer:
6/8
Step-by-step explanation:
double both of them lol
Answer:
3/4 is equivalent to 6/8 and 12/16
Step-by-step explanation:
25 points-
Please help me-
Answer:
alr i tried, i hope i got them right! <3 pls let me know if i got them wrong.
1. 108 | 6x12 = 72 9x12 = 108 |
2. 91 | 13x7 = 19
3. 19 | 108/6 90/6 = 19/15 |
4. 50. 400/8 = 50
5. 50. 300/6
hope this helped! <3
Step-by-step explanation:
find the two angles and show work!!!
Answer:
x=23.5
Step-by-step explanation:
90=25-x/2+18
combine like terms
90=43-x/2
subtract 43 from both sides
47= -×/2
47/2= 23.5
x=23.5
or
90-25= 65
65-18=47
47/2=23.5
Solve x to the 4th power -3 x to the third power minus x squared minus 27x minus 90 equals 0 by finding all roots
Answer:
4x-27x-54-90=
Step-by-step explanation:
well first you have to subtract x which is -23x
then u have to bring 90+54 on the other side
which then leaves you with
-23x=144
x=-6.260869565217391
can i also get brainliest please
Choose the correct answer
Answer: it should be d pretty sure
Step-by-step explanation:
h(x) = -(x + 3)(x - 2)
Answer: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−3,0),(2,0)
y-intercept(s): (0,6)
Find the slope of the line.
A: 3/2
B: -2/3
C: 2/3
D: -3/2
Answer:
Slope= [tex]rise/run[/tex]
slope= - 1/5
Step-by-step explanation:
(3,2) (-2,3)
formula = [tex]y2-y1/ x2- x1[/tex]
[tex]3-2 / -2 -3[/tex]
[tex]1/-5[/tex]
slope= - 1/5
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
m = n = 20
Step-by-step explanation:
Here, we want to find the missing side lengths
For a 45-45 triangle, the lengths have a side ratio of;
1:1: √2
We should understand that the triangle is isosceles ( opposite and adjacent are equal)
So n = m
So what we just need to do here is divide 20 √2 by √2
Mathematically, that would be;
20 √2/√2 = 20
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans? Use the proportion method and scale factor to justify your solution.
Answer:
6 "surprise" flavors jellybeans
Step-by-step explanation:
From the information given:
The bag contained a mixture of regular flavored jellybeans and "surprise" jellybeans.
There are 40 jellybeans in the bag.
If 15% of the jellybean were "surprise" flavors.
Then, the number of expected "surprise" jellybeans will be:
= 15% of 40 jellybeans
= (15/100) × 40
= 6 "surprise" flavors jellybeans
If 6 surprise jellybean is contained in the bag;
Thus, the number of regular flavored jellybean will be
= 40 - 6
= 34 regular flavored jellybean
show work what is the gcf of 12x^2 and 15x^3
Hey there! I'm happy to help!
The greatest common factor is the largest factor that both numbers contain. Let's look at the factors of these terms.
12x²: 1, 12, 2, 6, 3, 4, x, x
15x³: 1, 15, 3, 5, x, x ,x
We see that both of these numbers contain a 3 and 2 x's, so our GCF would be 3x².
Have a wonderful day!
¿cual es la relacion de los conceptos: razon de cambio y derivada?
Answer:
?? I don’t speak spanish
Step-by-step explanation:
Solve the problem
3 x 5/8
Answer:
1.87500
Step-by-step explanation:
Simplify: 8p²q²r² - 7p²q²r² + q²r²
Answer:
8p²q²r² - 7p²q²r² + q²r²
Step-by-step explanation:
2
7 pencils cost £4.55.
How much do 3 pencils cost?
Answer:
1.95
Step-by-step explanation:
4.55/7=65
65 cents for 1
65x3=1.95
Brainliest?
find the length of a square whose diagonal is 15cm
a group of biologists is surveying the mice population in a forest. the equation n=75^t gives the total number of mice,n, t years after the survey began. what does the number 3 mean in this situation.
1. the common difference
2. the total population
3. the common ratio
4. the slope
Complete question is;
A group of biologists is surveying the mice population in a forest. The equation n=75⋅3t gives the total number of mice, n, t years since the survey began.
what does the number 3 mean in this situation.
1. the common difference
2. the total population
3. the common ratio
4. the slope
Answer:
3 is the common ratio
Step-by-step explanation:
We are given that the equation; n = 75⋅3^(t) gives the total number of mice, n, t years since the survey began.
Normally, formula when calculating population growth takes an exponential function;
n = n_o(e^(rt))
Or in this our case, it can be written as;
n = n_o((e^(r))^(t))
Comparing this with n = 75⋅3^(t), we can see that e^(r) = 3
Where r is the growth rate.
e is exponential constant.
Thus, we can say that 3 is the common ratio
Which situation does NOT show causation?
A. When the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving.
B.When the student population at a school increases, the number of teachers at the school increases.
C.When there are more workers on a project, the project is completed in less time.
D.When there is more protein in an athlete’s diet, the athlete scores more points in a game.
I'LL GIVE YOU BRAINLIEST IF YOUR RIGHT
Answer:A
Step-by-step explanation:
Witch expression represents the sum of 8 and twice a number?
Answer:
2x+8
Step-by-step explanation:
let the number=x
Twice the number=2x
sum of 8 and twice the number=2x+8
