Answer:
1 3/7 gallonsStep-by-step explanation:
Let the amount of gas in the tank before filling was x.
We have:
x + 2 4/7 = 4x = 4 - 2 4/7x = 2 - 4/7x = 1 3/7 gallonslet the amount of gas be x
[tex]\\ \sf\longmapsto x+2\dfrac{4}{7}=4[/tex]
[tex]\\ \sf\longmapsto x+\dfrac{18}{7}=4[/tex]
[tex]\\ \sf\longmapsto x=4-\dfrac{18}{7}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{28-18}{7}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{10}{7}[/tex]
[tex]\\ \sf\longmapsto x=1\dfrac{3}{7}[/tex]
evaluate the function
f (x) = -x + 3 when x = 5
pls help :(
Answer:
f(5) = -2
Step-by-step explanation:
f (x) = -x + 3
Let x = 5
f(5) = -5+3
f(5) = -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{f(x) = -x + 3}\\\huge\boxed{\rightarrow}\huge\text{ f(x) = -5 + 3}\\\huge\boxed{\rightarrow}\huge\text{ y = -5 + 3}\\\huge\boxed{\rightarrow}\text{ y = -2}\\\\\\\boxed{\boxed{\huge\text{Answer: \bf f(x) = -2}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
A tennis coach divides her 9-player squad into three 3-player groups with each player in only one group. How many different sets of three groups can be made?
Please help…
Answer:
1 set of three groups can be made.
Step-by-step explanation:
With a total of 9 players split into 3 groups, set up an equation:
9 players ÷ 3 groups = 3 players per group
Careful with the question wording:
How many different sets of three groups can be made. only 1 set of three groups can be made.
the Marked price of a computer is rupees 30000 if it is sold after 20 percent discount and then 30% bat is levied on it find the price of the computer including vat.
if u don't know don't answer otherwise I will report u
Answer:
31200
Step-by-step explanation:
First, the starting price is 30000. We then must find the value after a 20% discount is applied. To do this, we can first convert 20% into a decimal value. That can be obtained by multiplying the percent by 1/100, so 20% * 1/100 = 0.2 . Therefore, the discount is 30000 * 0.2 = 6000 . Discounts work by subtracting the discount from the market price to get the final value, so we have
30000 - 6000 = 24000 as the value before tax.
Then, we can include the VAT, which is 30% of our new price. 30% as a decimal is 30 * 1/100 = 0.3, so we can find the tax of our product as 0.3 * 24000 = 7200. Taxes work by adding the taxed value on top of the price, so we can add 7200 to the value before tax to get 31200 as the final price including VAT
The area of each square below is 1 square unit.
Financial maths-- multiple choice!!!
What is the risk associated with electronic money management that can arise from a bank not having enough cash on hand?
solvency
liquidity
credit risk
operational risk
Answer:
liquidity
Step-by-step explanation:
when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.
which can actually lead to insolvency.
PLEASE HELP ME The graph below shows the distance, y, that a car traveled in x hours:
Rate of Travel
125
100
Distance Traveled
(miles)
75
501
251
0 1 2 3 4 5
Time (hours)
What is the rate of change for the relationship represented in the graph?
о
1
50
O
25
O 25
050
Answer:
25
Step-by-step explanation:
The graph is going up by 25 each block or point of the way, if im wrong, im sory
please help me with these
Answer:
x= -1
y= 2.5
Step-by-step explanation:
15x+6y=0
4x-6y=-19
19x = -19
x=-1
-15+6y = 0
6y=15
y=2.50
Answer:
19x = -38
x = -2
(-2,5)
Step-by-step explanation:
3(5x + 2y = 0)
2(2x - 3y = -19)
First step is to simplify the equations by using the distributive property.
3(5x + 2y = 0)
distribute the 3 by multiplying 3 by everything inside of the parenthesis
3 * 5x = 15x
3 * 2y = 6y
3 * 0 = 0
first equation simplified: 15x + 6y = 0
2(2x - 3y = -19)
distribute the 2 by multiplying 2 by everything inside of the parenthesis
2*2x = 4x
2 * -3y = -6y
2 * -19 = -38
second equation simplified: 4x - 6y = -38
We acquire the two equations
15x + 6y = 0
4x - 6y = -38
Notice how there are two 6ys, one is negative and the other is positive. When this happens we can add the two equations together and solve for x. We can do this because the two 6ys will cancel out and we will be left with one variable. when there is only 1 variable you can solve it.
So add the two equations
+ 15x + 6y = 0
4x - 6y = -38
--------------------
19x = -38
now solve for x
divide both sides by 19
19x/19 = -38/19
x = -2
Now we need to find the value of y.
To do so simply plug in the value of x into one of the equations and solve for y
4x - 6y = -38
x = -2
4(-2) - 6y = -38
multiply 4 and -2
-8 - 6y = -38
add 8 to both sides
-6y = -30
divide both sides by -6
y = 5
The solution to the system is (-2,5)
1. Is the figure defined by points H, I, J, and Ka rhombus?
Answer: No
Step-by-step explanation:
Because in a rhombus all sides are equal.
In this opposite sides are equal and not all sides.
please click thanks and mark brainliest if you like :)
Answer:
no
Step-by-step explanation:
the definition of a rhombus is a quadrilateral with 4 equal sides so we just have to either prove all the sides are equal or that two or more sides are not equal.
to do this use the distance formula: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
HI=5 (it's a horizontal line so it's just |-8-(-3)|=5HK=[tex]\sqrt{(-8+9)^2+(8-2)^2}[/tex]=[tex]\sqrt{1+36}[/tex]=[tex]\sqrt{37}[/tex] it isn't equalHIJK is a parallelogram but not a rhombus
grade 5
mathematics
Add:
[tex] {3 }^{2} + \sqrt{64 + 36} [/tex]
Kristian and Stephanie share money in the ratio 3 :2 Kristian receives $72 How much will Stephanie receive
Answer:
48
Step-by-step explanation:
Kristian : Stephanie
3 2
Kristian receives 72
72/3 = 24
Multiply each side by 24
Kristian : Stephanie
3*24 2*24
72 48
A rectangular vegetable patch has a perimeter of 18 meters. Its area is 18 square meters. What are the dimensions of the vegetable patch?
Answer:
6 meters and 3 meters are the dimensions of the vegetable patch.
Step-by-step explanation:
Keep in mind the formulas for perimeter and area of a rectangle are:
A - lw
P - 2 (l + w)
List the factors of 18:
1, 2, 3, 6, 9, 18
POSSIBLE DIMENSIONS of the vegetable patch:
1 meter and 18 meters
Area - 18 m^2
Perimeter - 38 meters
2 meters and 9 meters
Area - 18 m^2
Perimeter - 22 meters
3 meters and 6 meters
Area - 18 m^2
Perimeter - 18 meters
The rectangular vegetable patch with the dimensions 3 meters and 6 meters corresponds with the given area and perimeter of the vegetable patch mentioned. So that is your answer.
Hope this helps!
solve the equation:
|x+3| >2x-1
Answer:
x < 4
Step-by-step explanation:
|x+3| >2x-1 [|a| is the absolute value of a]
x+3 > 2x-1
4 > x
Therefore,
x < 4
The negative case doesn't have equal RHS and LHS so, it isn't valid.
To earn $60 for the skateboard, Waheeda decides to run a lemonade stand. If she sells each glass of lemonade for $1.50, how many glasses of lemonade will she need to sell? Write and solve an equation to find the answer.
Cost of skateboard : $60
Cost of each lemonade = $1.50
Total glasses of lemonade to be sold = 60/1.5
= 60/15×10
= 4×10
= 40
Therefore she has to sell 40 glasses of lemonade
Must click thanks and mark brainliest
Find the magnitude of the vector. Write your answer in simplified form.
hor
8
6
4
NO
Х
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
-10
look
[tex] \sqrt{117} [/tex]
What is the domain of the rational function f of x is equal to 2 x over the quantity 2 x cubed minus 5 x squared minus 12 x end quantity
x is an element of all real numbers such that x is not equal to 0
x is an element of all real numbers such that x is not equal to negative three halves comma 4
x is an element of all real numbers such that x is not equal to 0 comma negative three halves comma 4
x is an element of all real numbers such that x is not equal to 0 comma three halves comma negative 4
Using the domain concept, it is found that the domain of the function is: x is an element of all real numbers such that [tex]x \neq (-\frac{3}{2}, 4)[/tex], second option.
----------------------
The domain of a function is all possible values that the input value x can assume.The domain of a fraction is all real values of x except the zeros of the denominator.----------------------
The function is:
[tex]f(x) = \frac{2x}{2x^3 - 5x^2 - 12x} = \frac{2x}{x(2x^2 - 5x - 12)} = \frac{2}{2x^2 - 5x - 12}[/tex]
The points outside the domain are the zeros of [tex]2x^2 - 5x - 12[/tex], which we find solving a quadratic equation.
----------------------
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
----------------------
[tex]2x^2 - 5x - 12[/tex] is a quadratic equation with [tex]a = 2, b = -5, c = -12[/tex].
[tex]\Delta = b^{2} - 4ac = (-5)^2 - 4(2)(-12) = 121[/tex]
[tex]x_{1} = \frac{-(-5) + \sqrt{121}}{2(2)} = 4[/tex]
[tex]x_{2} = \frac{-(-5) - \sqrt{121}}{2(2)} = -\frac{6}{4} = -\frac{3}{2}[/tex]
----------------------
The domain is: x is an element of all real numbers such that [tex]x \neq (-\frac{3}{2}, 4)[/tex], second option.
A similar problem is given at https://brainly.com/question/13136492
Answer:
Step-by-step explanation:
Using the domain concept, it is found that the domain of the function is: x is an element of all real numbers such that , second option.
----------------------
The domain of a function is all possible values that the input value x can assume.
The domain of a fraction is all real values of x except the zeros of the denominator.
----------------------
The function is:
The points outside the domain are the zeros of , which we find solving a quadratic equation.
----------------------
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that , given by the following formulas:
----------------------
is a quadratic equation with .
----------------------
The domain is: x is an element of all real numbers such that , second option.
A similar problem is given at brainly.com/question/13136492
please please help
Three guy wires are being used to support a radio tower. One end of each wire is
attached to the top of the radio tower and the other end is anchored to the
ground 50 m from the base of the tower. If the wire must make a 65° angle with
the level ground, what is the length of each guy wire?
Answer:
sorry. I dont know.
Step-by-step explanation:
sorry. I dont know.
Manish writes the functions g(x) = ^3 sqrt - x - 72 and h(x) = -(x+72)^3
Which pair of expressions could Manish use to show that g(x) and h(x) are inverse functions?
Here we want to find the expressions we need to use to see if the functions g(x) and h(x) are inverses of each other.
The correct option is the last one, counting from the top.
∛((x + 72)^3) - 72 and -(∛(-x) - 72 + 72)^3
Two functions f(x) and g(x) are inverses if:
f( g(x) ) = x
g( f(x) ) = x
In this case, we have the functions:
g(x) = ∛(-x) - 72
h(x) = -(x + 72)^3
Then the expressions we need to check are:
g( h(x) ) = ∛(-h(x)) - 72 = ∛(+(x + 72)^3) - 72 = (x + 72) - 72 = x
h( g(x) ) = -(g(x) + 72)^3 = -(∛(-x) - 72 + 72)^3 = -(∛(-x) )^3 = x
So we found that the two expressions needed are:
∛((x + 72)^3) - 72 and -(∛(-x) - 72 + 72)^3
Then the correct option is the last one, counting from the top.
If you want to learn more, you can read:
https://brainly.com/question/10300045
Answer:
GUYS ITS C THAT IS THE ANSWER
45. Two similar cups are 3cm and 5cm deep. If the larger cup holds 625cm' of water, what is the volume of the smaller one? A. 27cm3 B. 125cm3 C. 135cm3 D. 208cm3 E. 490cm3
Answer:
c 135cm^3 is the correct answer
Answer:
Step-by-step explanation:
volume of smaller cup=625×(3/5)³=625×27/125=5×27=135 cm³
What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?
Answer:
a
Step-by-step explanation:
a
write 9/10 as a percentage
Answer:
90%
Step-by-step explanation:
Percent means out of 100
9/10 *10/10
90/100
90%
For the system of equations:
-4s + 2t = -5
8s - 6t=7
What is the value of s?
Answer:
s = 2
Step-by-step explanation:
I'll be using the substitution method.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Edgar has test scores of 87, 92, 90, 84, 88, and 91. What is the lowest grade Edger can get on the next test to have an A average (90 or higher)?
A. 94
B. 96
C. 98
D. 100
Answer:
98
Step-by-step explanation:
Let x be the next test score
87, 92, 90, 84, 88, and 91, and x
We want to average them and the average to 90
(87+ 92+ 90+ 84+ 88+ 91+x)/7 = 90
Multiply each side by 7
(87+ 92+ 90+ 84+ 88+ 91+x)/7*7 = 90*7
(87+ 92+ 90+ 84+ 88+ 91+x) = 630
Combine like terms
x+532=630
Subtract 532
x = 630-532
x= 98
Geometry, please answer question ASAP
Answer:
C.
Step-by-step explanation:
A concave polygon must have atleast an internal angle which is greater than other angles.
[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]
The perimeter of a rectangle is 250 yards. The length is ten less than twice the width. The rectangle's:
A. length is 80 yards and the width is 45 yards.
B. length is 115 yards and the width is 10 yards.
C. length is 70 yards and the width is 60 yards.
Answer:
A lengthy is 89yards and the width is 45yards
You roll a cube which has the numbers 9, 10, 12, 15, 17, and 18 on it You then spin a spinner which has 4 sections. The letters on the spinner are H, K, F, and A. P(F and 17)
Answer:
Step-by-step explanation:
The fact that the numbers look random and the spinner also looks random doesn't matter. The only thing of importance in both cases is that all the numbers are different (and cannot be made by adding any two together) and all the letters are different
That means you have 6 numbers and 4 letters.
You have a 1/6 chance of throwing the 17
You have a 1/4 chance of spinning the F
P(F and 17) = 1/6 * 1/4 = 1/24
Which is the product of (x - 5)2?
A. x2 - 10x - 25
B. x2 - 10x + 25
C. x2 + 10x +25
D. x2 + 10x -25
Answer:
B
Step-by-step explanation:
Given
(x - 5)²
= (x - 5)(x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 5) - 5(x - 5) ← distribute both parenthesis
= x² - 5x - 5x + 25 ← collect like terms
= x² - 10x + 25 → B
Answer:
Step-by-step explanation:
B..x2+10x+25
) After basketball practice, Courtney spent extra time working on free throws. Overall, she made 3 of her 5 shots. What percent of her total shots did she make?
HELP !!! find the surface area of each figure. Round it to the nearest tenth.
Answer:
556
Step-by-step explanation:
Surface area=2*(lb+bh+lh)=2*(110+80+88)=556
twelve cubes are stacked to make this figure
Answer:
rectangular prism
Step-by-step explanation:
Answer:
rectangular prism
Step-by-step explanation:
Which values are solutions of the quadratic equation 0 = (x + 3)2 – 4? Check all that apply. –5 –4 –3 –1 3 5
hi
(x+3)^2 -4 = ( (x+3) +2) ( (x+3)-2 )
= ( x+5) (x +1)
so
solutions are : x+5=0 so x=-5
x+1= 0. so x= -1
solution are -5 +and -1
