the amount of gasoline used by a car varies jointly as the distance travelled and the square root of the speed.Suppose a car used 25 liters on a 100 km trip at 100kph,about how many liters will it use on 1000 km trip at 64 kph?
Answer:
200 litres
Step-by-step explanation:
let g be gasoline used, d the distance travelled and s the speed, then the equation relating the quantities is
g = kd[tex]\sqrt{s}[/tex] ← k is the constant of variation
To find k use g = 25, d = 100 and s = 100, then
25 = k × 100 × [tex]\sqrt{100}[/tex] = k × 100 × 10 = 1000k ( divide both sides by 1000 )
0.025 = k
g = 0.025d[tex]\sqrt{s}[/tex] ← equation of variation
When d = 1000 and s = 64, then
g = 0.025 × 1000 × [tex]\sqrt{64}[/tex] = 0.025 × 1000 × 8 = 200
Select the expression equivalent to (5.2x + 4.8) − (-6x − 2)
A 11.2x + 6.8
B 11.2x - 2.8
C -0.8x + 6.8
D -0.8x - 2.8
Pleaseeeeeeeeee help
Answer:
d
Step-by-step explanation:
By the way thats a module
When Laura was a store manager at a movie store, she made $500 a week. Ten years later, as a clothing store manager, she made $800 a week. What was the percent of change? Show your work and explain your answer.
Solve each expressions for u and match them with their appropriate value.
Answer:
u=1
u=2
u=3
u=4
Step-by-step explanation:
trust me i am in 8th grade
Ben sells homemade cards at a craft fair. He wants to earn more than $50 at the fair. He sells his cards for $2 and he has already earned $36. How many cards foes he need to sell to reach his goal? Write and solve an inequality.
Answer:
He must sell 8 cards to reach the minimum goal.
Step-by-step explanation:
Giving the following information:
He wants to earn more than $50 at the fair.
He sells his cards for $2 and he has already earned $36.
First, we need to calculate the money required to reach the minimum goal:
51 - 36= $15
Now, we write the inequality:
2*x >15
x= number of cards sold.
x>15/2
x> 7.5
He must sell 8 cards to reach the minimum goal.
What does it mean for a point to be a solution to a linear equation?
For example, if I say, "(2,5) is a solution to the equation (y=2x+3)," how could you check my claim?
Answer:
In your equation y=2x+3 and you used 2 [from your point (2,5) ] as the value of x, then y=2(2)+3=7.
now if you plotted this, that point would be (2,7), not (2,5).
So (2,5) is not the solution.
(2, 5) is not a solution of the linear equation [tex]y = 2\cdot x + 3[/tex].
Let be linear equation [tex]y = 2\cdot x + 3[/tex], if we know that [tex](x,y) = (2, 5)[/tex] and we need to check is [tex]2\cdot x + 3 = 5[/tex] by algebraic means, that is, we solve for [tex]x[/tex]:
[tex]2\cdot x + 3 = 5[/tex]
[tex]2\cdot x = 2[/tex]
[tex]x = 1[/tex]
Hence, we conclude that (2, 5) is not a solution of the linear equation [tex]y = 2\cdot x + 3[/tex].
We kindly invite to check this question on linear functions: https://brainly.com/question/17088086
15=1/3x what does x equal
Answer:
Step-by-step explanation:
Divide both sides by 1/3. This operation is equivalent to multiplying both sides by 3.
15*3 = x
x = 45
Find the amount to tip on a $67.99 dinner, when you tip 20%. Round to the nearest cent.
Answer:
$13.60 for tip
$81.59 for total meal cost
Step-by-step explanation:
Meal = $67.99
tip is 20% so 0.20
67.99*0.20=13.60 tip
Solve Using Substitution
-9x + 6y = 18
y = -6
Answer:
the answer should be x = -6
Step-by-step explanation:
-9x + 6y = 18
-9x + 6(-6) = 18
-9x - 36 = 18
-9x - 36 + 36 = 18 + 36
-9x = 54
-9x ÷ -9 = 54 ÷ -9
x = -6
Which point on the coordinate plane is a reflection of point A across the y-axis
Write in Slope Intercept form
Answer:
its the first choice
Step-by-step explanation:
Answer:
y= -3/5x +5
Step-by-step explanation:
Step one - find where the line is intercepting. In your case this is at positive 1.
Next step is to check the change of the slope - directio. The line goes up to the positive Y access and to the left of the negative X access.
That leads to a negative slope.
Respectavley the only posible answer on this question is
y= -3/5x +5
Good luck.
FB: sharp4math
si tienes una mesa de 25m de largo por 10 de ancho ¿ en cuanto varíaran cada una de sus dimensiones para que sin alterar su superficie tengo forma cuadrada
responder: 8,75
Cada dimensión será de 8,75 porque si la longitud es de 25 m de largo y el ancho es 10, si los sumamos y obtendremos 35. Así que 35 dividido entre 4 es 8,75
please help me will give you brainliest
Answer:
A- No
B- yes
C-yes
D- no
Step-by-step explanation:
learned about these yesterday, just depends on the x axis
What are the values of x and y in the figure
Answer:
I'm pretty sure 8
Step-by-step explanation:
The owners were happy that the house had appreciated in value at a rate of 5% each year
Answer:
Exponential Growth
Step-by-step explanation:
The growth value is a positive number. So that mean's it's growing by 5%.
Suppose that when a car goes over a bump, the impact hat must be absorbed by the suspension is directly proportional to the square of the car's speed. Of a car going 12 mph receives 4000 units of impact, ow much impact will a car received at 30 mph
Answer:
10000 units of impact
Step-by-step explanation:
From the above question:
12 mph = 4000 units of impact
30 mph = x units of impact
Cross Multiply
12 mph × x units = 30 mph × 4000 units
x units = 30 mph × 4000 units/12 mph
x units = 10000 units of impact.
Therefore, 30 mph receives 10000 units of impact
Help PLEASE!!!!!!!!!
Solve 3[-x + (2 x + 1)] = x-1.
X=
DONE
Answer:
x=−2
Step-by-step explanation:
Simplify both sides of the equation.
3(−x+2x+1)=x−1
Distribute
(3)(−x)+(3)(2x)+(3)(1)=x+−1
−3x+6x+3=x+−1
Combine Like Terms
(−3x+6x)+(3)=x−1
3x+3=x−1
3x+3=x−1
Subtract x from both sides.
3x+3−x=x−1−x
2x+3=−1
Subtract 3 from both sides.
2x+3−3=−1−3
2x=−4
Divide both sides by 2.
2x/2=−4/2
x=-2
What kind of sequence is this? –38, –44, –50, –56
Answer:
-6n-32
Step-by-step explanation:
Answer:
The answer is a arithmetic. HOPE THIS HELPED !!!!
Step-by-step explanation:
-38 is your starting number and if you add -6 it equals -44. And -44 plus -6 equals -50, and so on. Your welcome !
PLEASE HELP!!! DONT IGNORE ME!!!
like right now!
answer this seriously and that will make you deserve this points that i've given just please someone answer this!!! please!! answer it seriously!! or ill s*** you ! HELP!! need it ! (ᗒᗣᗕ)՞
ANSWER IT ALL
THANK YOU❤︎
Write an equation in slope-intercept form for a line that passes through points (-1, 2) and (5, -10)
Is (6, 8) a solution to y = 8/3x - 8?
Answer:
Yes it is a solution
Step-by-step explanation:
[tex] \frac{8}{3} \times 6 - 8 = \\ 16 - 8 = 8[/tex]
Answer:
Is (6, 8) a solution to y = 8/3x - 8?
Step-by-step explanation:
Find the unit. Round to the nearest hundredth, If necessary.
$4.99 for 19 lb
Answer:
94.81
Step-by-step explanation:
(9x + 7) + (x + 3)
I really don't know.
Answer:
10x + 10
Step-by-step explanation:
Thank me later
There is 2/3 of a cake left that 3 friends would like to share. How much cake would each friend get?
Tyler has a baseball bat that weighs 28 ounces. Find this weight in grams.
Please answer this in 7 mins ty
Answer:
793.787 or 800
Step-by-step explanation:
Factoring.
The answer is supposed to look like this.
EXAMPLE:
5x(6x+2)(6x-2)
Step-by-step explanation:
2y×(5-4y)×(5+4y) here you go now please help me if you can
F(x)=bx^2+32 For the function f defined above, b is a constant and f(2)=40. What is the value of f(-2)?
Answer:
f(-2) = 0
Step-by-step explanation:
Given that:
f(x) = bx^2 + 32
f(2) = b(2)^2 + 32
f(2) = 4b + 32
f(2) = 4b = -32
f(2) = b = -32/4
f(2) = b = -8
Thus;
f(-2) = -8(-2)^2 + 32
f(-2) = -8(4) + 32
f(-2) = -32 + 32
f(-2) = 0
Answer:C
Step-by-step explanation:
yessir
The old bag of marbles contains 4 blue and 3 red marbles. If you were to double the number of red and blue marbles to create a NEW bag, would the chance of pulling out a blue marble be the same as pulling a blue marble from the old bag? (this is for math class by the way-)
Answer:
The chance will be the same (4/7)
Step-by-step explanation:
Old bag
p(blue)=4/7
New bag
p(blue)=8/14=4/7
The chance will be the same (4/7) since both the red and the blue marbles are doubled at the same time implying that the ration of red to blue still remails the same.
I hope the explanation is clear. If so rate brainliest please
