Answer:it’s C just trust me please
A truck can be rented from Company A for $80 a day plus $0.40 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
At____miles, the rental costs are the same from either company.
Answer:
200 milesStep-by-step explanation:
Let the required miles be x
Rental for Company A
80 + 0.4xRental for Company B
40 + 0.6xRental costs are equal when:
80 +0.4x = 40 + 0.6x0.6x - 0.4x = 80 - 400.2x = 40x = 40/0.2x = 200 miles*Two buses were coming from two different places situated just in the opposite
direction. The average speed of one bus is 5 km/hr more than that of another on
and they had started their journey in the same time. If the distance between
places is 500 km and they meet after 4 hours, find their speed.
Answer: 60 km/hr and 65 km/hr
Step-by-step explanation:
o-----------------------------------←500→-------------------------------------o
Bus 1: rate = r + 5 Bus 2: rate = r
time = 4 time = 4
distance = d distance = 500 - d
Use distance = rate x time
Bus 1: d = 4(r + 5) Bus 2: 500 - d = 4(r)
d = 4r + 20 -d = 4r - 500
d = 500 - 4r
Solve the System of Equations using the Substitution method:
4r + 20 = 500 - 4r
8r + 20 = 500
8r = 480
r = 60
Bus 1: rate = r + 5 Bus 2: rate = r
= 60 + 5 = 60
= 65
Distance between both buses = 500km
Time taken by them to meet each other = 4hr
Let speed of bus A be v km/hr.
ATQ, speed of bus B is 5km/ hr more than that of bus A.
∴ Speed of bus B will be (v + 5) km/hr.
★ Diagram :
[tex]\boxed{\setlength{\unitlength}{1cm}\begin{picture}(6,2)\thicklines\put(1,1){\circle*{0.2}}\put(5,1){\circle*{0.2}}\put(1,1){\vector(1,0){1}}\put(5,1){\vector(-1,0){1.5}}\put(0.2,0.9){A}\put(5.5,0.9){B}\put(1.4,1.2){v}\put(3.85,1.2){v+5}\put(2.35,0.4){\sf{500\;km}}\put(2.2,0.5){\vector(-1,0){1.3}}\put(3.55,0.5){\vector(1,0){1.5}}\end{picture}}[/tex]
★ As we know that,
Speed = Distance/Time ... (I)Assuming both buses as point masses,
Relative speed of object A wrt object B when the object B moves in the opposite direction of A is given by
[tex]\boxed{\bf{v_{AB}=v_A+v_B}}[/tex]Relative speed of bus A wrt B :
[tex]:\implies\:\sf{v_{AB}=v_A+v_B}[/tex]
[tex]:\implies\sf\:v_{AB}=v+(v+5)[/tex]
[tex]:\implies\bf\:v_{AB}=2v+5[/tex]
By substituting values in (I), we get
[tex]\leadsto\sf\:v_{AB}=\dfrac{d}{t}[/tex]
[tex]\leadsto\sf\:2v+5=\dfrac{500}{4}[/tex]
[tex]\leadsto\sf\:2v+5=125[/tex]
[tex]\leadsto\sf\:2v=120[/tex]
[tex]\leadsto\sf\:v=60\:kmph[/tex]
Speed of bus A = 60 kmphSpeed of bus B = (v + 5)
Speed of bus B = 65 kmphHope It Helps!NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!
Find f (−3) for the function f (x) = -5/-3 x -2
A) 3/5
B) -7
C) − 5/3
D) 3
E) −2
plug in -3 for x and get -5-2 which is -7 so b
(5.9 x 10^6) and (3.2 x 10^4) find the product
Answer:
1888 × [tex]10^{8}[/tex]
or
188.8 × [tex]10^{9}[/tex]
or
18.88 × [tex]10^{10}[/tex]
Step-by-step explanation:
Lets look at this in a more simple way:
[tex](5.9[/tex] × [tex]10^{6} )[/tex] × [tex](3.2[/tex] × [tex]10^{4} )[/tex]
First, let's move [tex]10^{6}[/tex] and switch it's places with 3.2:
(5.9 × 3.2) × ([tex]10^{6}[/tex] × [tex]10^{4}[/tex])
Then, let's simplify:
18.88 × [tex]10^{10}[/tex]
Finally, Celebrate! WooHoo! You just learned how to do this!
Pls Brainliest! It would mean and help a lot! ;)
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What’s -6y + 4x=5 in ymx+b
Answer:
[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]
Step-by-step explanation:
First you need to solve the expression in order to get the expression in Slop-Intercept Form:
[tex]y = mx + b[/tex]
-The following equation:
[tex]-6y + 4x = 5[/tex]
Solve:
[tex]-6y + 4x = 5[/tex]
[tex]-6y + 4x - 4x = 5 - 4x[/tex]
[tex]-6y = 5 - 4x[/tex]
[tex]\frac{-6y}{-6} = \frac{5 - 4x}{-6}[/tex]
[tex]y = \frac{5 - 4x}{-6}[/tex]
[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]
Therefore, the expression in Slope-Intercept Form is [tex]y = \frac{2}{3}x - \frac{5}{6}[/tex].
Movie tickets are $9.00 for adults and $5.50 for children. One evening, the theater sold 36
tickets worth $282. How many adult tickets were sold? How many child tickets were sold?
Answer:
25
Step-by-step explanation:
;\
What is the value of the missing divisor in the equation 1,872 divided _____=234
Answer: 8
Step-by-step explanation: You can test 234 by multiplying it by random numbers like i did on a calculator and from there i tested 8 and it fit 1874 so i knew that was the answer
Can someone please help
Not sure what does "Zero" mean. But I'll move with y-intercept, slope and slope intercept form.
The y-intercept is (0,4) because the graph passes through (0,4)
For the slope, look at the grid and the line, it's -2. Or we can solve this by using the ordered pairs.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
(0,4) and (3,-2) both are the part of the graph, therefore.
[tex]m=\frac{-2-4}{3-0} \\m=-\frac{6}{3}\\m=-2[/tex]
So the slope is -2 and for the slope intercept form, it must be the equation.
We know that m = -2 and b = 4 because b is the y-intercept from y = mx+b where m is the slope and b is the y-intercept.
Thus, [tex]y=-2x+4[/tex] from the y = mx + b.
The gravity on the surface of the moon is 0.17 of the surface gravity on Earth. If Jack weighs 156 pounds on Earth, what would be his weight on the moon? (Will give brainliest)
Answer:
Jack will weigh 26.52 pounds
Step-by-step explanation:
x = 156 (Your weight on Earth)
y = 0.17 (Surface Gravity)
z = Your weight on the moon
x * y = z
156 * 0.17 = 26.52
Jack will weigh 26.52 pounds.
If Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.
What is gravitational force?All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.
It is given that,
Gravity on the surface of the moon = 0.17
Weighs of Jack on Earth = 156 pounds
Mass of Jack,
W=mg
156 pounds = m × 9.81 [ g on earth = 9.81 m/s²]
m = 15.902 kg
The weight of Jack on the moon is,
W= 15.902 kg × 0.17
W=2.565 N
Thus, if Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.
Learn more about the gravitational force here:
brainly.com/question/12528243
#SPJ5
How many solutions does the following equation have?
-6(x + 7) = -4x – 2
Choose 1 answer:
A.No solutions
B.Exactly one solution
C.Infinitely many solutions
Answer:
B. Exactly one solution
Step-by-step explanation:
what's the area for 8 in 6 in 4 in in a irregular polygon
Answer:
192
Step-by-step explanation:
8x6x4
Answer:
192
Step-by-step explanation:
because it is
Identify the percent of change as an increase or a decrease.
16 centimeters to 44.2 centimeters
Increase
Decrease
Question 2
Find the percent of change.
Answer:
Increase
Step-by-step explanation:
The number gets larger. Increase means it gets larger, but decrease means it gets lower.
much they will have left over. (a) If a package of curtains cost $21.50, what is the cost of the 3 packages of curtains in the cart? it in the cart
64.5 is the answer.
I HOPE THIS HELPS HAVE A GREAT DAY!
Answer:
64.50
hope this helps!!!
-5/7*1/6
What's the answer?
Answer:
-5/42
Step-by-step explanation:
Answer: -0.11
Step-by-step explanation:
Find f(g(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.
A) f(g(x)) = 12x2 + 4x - 27
B) f(g(x)) = 48x2 + 84x + 25
C) f(g(x)) = 48x2 + 124x + 72
D) f(g(x)) = 144x2 + 124x + 30
Answer:
Its C.
Step-by-step explanation:
Can someone Find f(-1)
Answer:
-2
Step-by-step explanation:
f(-1)=-2. f(−1)=−2 f ( - 1 ) = - 2.
Amber worked 2.2 hours on Monday and 5.9 hours on Tuesday. Her pay rate is $9.50 per hour. How much will Amber be paid for two days?
Answer:
$76.95
Step-by-step explanation:
Amber worked for 2.2 hours on Monday and she makes $9.50 per hour, so that means you multiply 9.50 x 2.2 and it equals 20.9, then it says she works 5.9 hours on Tuesday, so that means you multiply 9.50 x 5.9 and it equals 56.05, so in total you add 20.9 from Monday and 56.05 from Tuesday and it equals 76.95, which means $76.95 is how much Amber will be paid.
Answer:
76.95
Step-by-step explanation:
-6(7) + 36 + (-12)
Helpppppp
Answer:
-18
Step-by-step explanation:
Answer:-18
Step-by-step explanation:
Please help me solve this!! If you do think yu so much and have a nice day or night
Answer:
5668
Step-by-step explanation:
Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.
Which equation can be used to determine the number of years, x, at which the trees will be an equal height?
14 + 12x = 16 + 2x
14 + 12, x, = 16 + 2, x
16 + 12x = 14 + 2x
16 + 12, x, = 14 + 2, x
12 + 16x = 2 + 14x
12 + 16, x, = 2 + 14, x
12 + 14x = 2 + 16x
12 + 14, x, = 2 + 16, x
Answer:
Step-by-step explanation:
X=5
What is the equation of the line that passes through the point (-5,7) and has a slope of -2/-5
this should be it y=-2/5x+5
what is the least common multiple of 31 and 46?
Find the coordinates of the point (x,y) at the given angle θ on a circle of radius r centered at the origin. Show all work. Round decimal to three places. (5 points) θ=215° and r=4 Type equation here. Type equation here. (5 points) θ=-30° and r=1 Type equation here. Type equation here.
Answer:
(i) The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].
(ii) The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].
Step-by-step explanation:
In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:
[tex](x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]
Where:
[tex]r[/tex] - Norm of vector, dimensionless.
[tex]\theta[/tex] - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.
(i) ([tex]r = 4[/tex], [tex]\theta = 215^{\circ}[/tex])
[tex](x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})[/tex]
[tex](x, y) = (-3.277,-2.294)[/tex]
The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].
(ii) ([tex]r = 1[/tex], [tex]\theta = 30^{\circ}[/tex])
[tex](x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})[/tex]
[tex](x, y) = (0.866, 0.5)[/tex]
The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].
HELP WILL MARK BRAINLIEST!!!
A quadratic function for a parabola has axis of symmetry x = -2, points (-3, 2) and (0,11) and opens upward. What is the value of a? What is the vertex?
Answer:
Let's see what to do buddy..
Step-by-step explanation:
_________________________________
STEP (1)
We know that the quadratic functions form are like this :
[tex]y = a \: {x}^{2} + b \: x + c [/tex]
The quadratic function opens upward so ;
[tex]a > 0[/tex]
The axis of parabolic symmetry passes through the vertex of the parabolic.
So we know that x vertex is equal to -2.
The vertex's x is finding from this equation:
[tex]x = - \frac{b}{2a} \\ [/tex]
So we have :
[tex] - 2 = - \frac{b}{2a} \\ [/tex]
Multiply the sides of the equation by 2a :
[tex]b = 4a[/tex]
_________________________________
STEP (2)
A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.
[tex]y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c [/tex]
[tex]f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11 [/tex]
[tex] - 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3[/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
13.8___13.80 < > = Complete the inequality statement with the symbol that makes it true
Answer:
=
Step-by-step explanation:
because 13.80 equal 13.8 . Because how we know we need to delite 0 snd it will be 13.8
Answer:
13.8 = 13.80
Step-by-step explanation:
13.8 and 13.80 are the same values.
Hope it helped!
What’s there answer for this 4.5x10^-5
Answer:
0.000045
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
there were m balloons at the beginning of a party. by the end of the party, 6 of them had popped. using m, write an expression for the number of balloons that were left.
Answer:
m-6=x
Step-by-step explanation:
The recipe says it serves 8 people. By what number should jenny multiply each ingredient to make enough meatloaf for 40 people?
Answer:
5
Step-by-step explanation:
8*5=40 so you multiply the ingredients by 5