Answer:
900 L
Step-by-step explanation:
Let x be the number of litres when the tank is full.
Then 5/6 x - 30 = 4/5 x
Solve this by converting to /30:
25/30 x - 30 = 24/30 x
1/30 x = 30
x = 30*30 = 900
solve for p and q if
p+q=2(p-q)
pq=675
Step-by-step explanation:-
Let p + q = 2( p - q) be eqn.1 and pq = 675 be eqn.2
Now , lets expand eqn.1
[tex]=> p + q = 2p - 2q[/tex]
[tex]=> 2p - p = 2q + q[/tex]
[tex]=> p = 3q[/tex]
Lets put the value of p in eqn.2
[tex]=> 3q \times q = 675[/tex]
[tex]=> 3q^{2} = 675[/tex]
[tex]=> q^{2} = \frac{675}{3} = 225[/tex]
[tex]=> q = \sqrt{225} = +15 \: or \: -15[/tex]
Lets find out the value of p.
When q = +15 , [tex]p = 3 \times 15 = 45[/tex]
When q = -15 , [tex]p = 3 \times - 15 = -45[/tex]
Hence ,
p = ±45
q = ±15
Answer:
q=15
p=45
Step-by-step explanation:
p+q=2(p-q)
p+q=2p-2q
simplify: add 2q to each side and subtract one p from each side of the equation.
p=3q
given that pq=675, substitute:
(3q)q=675
3q^2=675
q^2=225
q=15
then p=3q or p=3(15)=45
p=45
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
What is the radius of this circle?
8 inches
4 inches
64 inches
16 inches
Answer:
4 inches
Step-by-step explanation:
The radius always measures one-half the length of the diameter.
Tickets to Disneyland used to cost $109. They have decided to increase the price by 41%. What is the new cost of disneyland tickets? QUICK
Answer:
the answer is $153.69
A quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿
Answer:
the length of PQ is equal to the length of P'Q'
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Translation is the movement of a point either up, down, right or left. Translation is a type of rigid transformation. Rigid transformation is a transformation in which both the image and pre-image have the same shape and size. types of rigid transformation are rotation, reflection and translation.
Quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿. Since translation is a rigid transformation, the shape and size of PQRS is the same as that of P'Q'R'S. Hence the length of PQ is equal to the length of P'Q'.
To solve the problem we must know about translation.
What is translation?A translation is a process of moving a graph or point from its initial location to another location without making any changes in its shape or size, we can tell whether the translation is done towards the right, left, up, or down by just looking at the operation that takes place within the parentheses of a function or a completely separate function.
The correct option is B, the length of P'Q' is equal to PQ.
Given to us
A quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿
As we know translation does not cause any change in the shape and the size of the quadrilateral, therefore,
Area of PQRS = Area of P'Q'R'S'PQ = P'Q'QR = Q'R'RS = R'S'PS = P'S'Hence, the correct option is B, the length of P'Q' is equal to PQ.
Learn more about Translation:
https://brainly.com/question/17485121
Please help!!! I’ll give brainliest too!
Answer:
y-intercept: -5
Slope: 4
Equation: y = 4x - 5
Step-by-step explanation:
✔️ y-intercept (b):
When x = 0, y = -5. Therefore, the y-intercept (b) = -5. It is the point at which the y-axis cut across by the line. At this point, x is always zero.
✔️Slope using two points (0, -5) and (1, -1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - (-5)}{1 - 0} = \frac{4}{1} = 4 [/tex]
Slope (m) = 4
✔️Equation in slope-intercept form y = mx + b:
Substitute m = 4, and b = -5 into y = mx + b
y = 4(x) + (-5)
y = 4x - 5
How many vehicles are at Nam's Gas Station?
Answer:
uhhhh can you explain more i dont know how many where there in the first place
Step-by-step explanation:
We can conclude that The number of vehicles at Nam's Gas Station is 23.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Since The number of cars is in the y-intercept line
the number of vehicles should be
= 3 + 4 + 5 + 6 + 3 + 2
= 23
Therefore, we can conclude that The number of vehicles is at Nam's Gas Station is 23.
Learn more about the addition here:
https://brainly.com/question/21603246
#SPJ2
pls help with this problem
The drama department needs to raise at least 575.00 for a trip to see a play they have already 163.00 if they sell candybars for 1.25 each how many do they need to sell to exceed there goal
Answer:
330
Step-by-step explanation:
575 - 163 = 412
412 / 1.25 = 329.6
Since we need to exceed the goal and we can only sell whole candy bars, we round 329.6 up to 330.
Help solve these problems
Answer:
Step-by-step explanation:
Expression; coefficient, variable; constant; substitute, though I think it should be substitute 7 for x, not 3 for x; and simplify
Micah has three 6-foot-long sandwiches. He needs to cut pieces that are 8 inches long from the sandwiches. What is the greatest number of 8-inch pieces he can cut from the three sandwiches?
Answer:
27 pieces
Step-by-step explanation:
1) first, multiply 6 times 3 (6×3=18)
2) 1 ft = 12 in. so you multiply the 18 by 12 (18×12=216)
3) now you divide the 216 by 8 (216÷8=27)
Sat prep find the value of x
Answer:
x=95 degrees
Step-by-step explanation:
total degrees would = 180 degrees
180-15-45-x-25=180
x=95 degrees
Answer:
55°Step-by-step explanation:
Refer to picture
Add parallel lines passing through vertices of x and 45°.
Use corresponding angles postulate to find that:
x - 25° = 45° - 15°x - 25° = 30°x = 55°HELP PLZ, IT IS DUE IN 10 MIN!
Answer:
11.25 = 3% of 375
11.25= 20% of 56.25
Dose anyone on this app know how to figure this out ?
Answer:
fuigire what
Step-by-step explanation:
maybe my friend can help
1/3 + a = 5/4
a = __??
Answer:
The correct answer is,
[tex]x = \frac{11}{12} [/tex]
ANSWER AS QUICK AS POSSIBLE WILL GET BRAINIEST!!!!!
:Which equation can be used to calculate the area of shaded triangles in the figure below:
A, 2 (12 x 4) = 96 feet.
B, 1/2 (12 x 4) = 24 square feet.
C, 2(12+4)=32 square feet
D, 1/2(4+12)= 8 square feet
Answer: da vinkiy
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
4 x 12
then divide by 2
which can also be known as mult 1/2
when 7 times a number is decreased by 13, the answer is the same as 5 times the number is increased by 5. what was the number?
Answer:
I got 9.
Step - By - Step Explanation:
7x - 13 = 5x + 5
7x = 5x + 18
2x = 18
x = 18 ÷ 2 = 9
x = 9
Four times a number is -8.8
Answer:
-2.2
Step-by-step explanation:
-2.2*4=-8.8
Answer:
-2.2
Step-by-step explanation:
-8.8÷4=-2.2
Its not that hard....
An item has an original price of $25 the store marked it down 12% what is the sale price?
Answer:
Step-by-step explanation:
we need to find first the marked down
25*12/100=3
the new price will be 25-3=22 dollars
Name the property of multiplication that is shown by the equation 4x· 1 = 4x
Share 144 in the ratio 7:9
Answer:
The parts are 63 and 81
Step-by-step explanation:
Ratios
We have to split the number 144 into two parts such that they are in the ratio 7:9.
Let's call
x = one of the parts
144 - x = the other part
It must be satisfied:
[tex]\displaystyle \frac{x}{144-x}=\frac{7}{9}[/tex]
Cross-multiplying the denominators:
9x = 7(144 - x)
Operating:
9x = 1008 - 7x
Adding 7x:
16x = 1008
Dividing by 16:
[tex]x = \frac{1008}{16}=63[/tex]
First part: x=63
Second part: 144-63=81
The parts are 63 and 81
Pls help I’ll brainlest for the right answer
Answer:
48
Step-by-step explanation:
28 = 7x + 3 - 2x
Need all the work shown too solve for X
Answer:
X = 5
Step-by-step explanation:
28 = 7x + 3 - 2x
28 = 5x + 3
28 - 3 = 5x + 3 - 3
25 = 5x
25/5 = 5x/5
X = 5
Answer:
X = 5
Step-by-step explanation:
1. Combine like terms.
2. Subtract 3 from both sides.
3. Simplify.
4. Divide both sides of the equation by the same term.
5. Simplify.
Hope this helps!
Fourteen more than four times a number is equal to the difference between - 56 and three times the number. Find the number
When Ms. Wilson calls to place her order, the store informs her that the delivery fee has increased by $4, but the price of the topsoil remains the same. Write an equation to represent the new situation. Explain
Answer:
28$ + 4$
Step-by-step explanation: the chart at one yard of top soil was 28$
solve 49x + 9 = 49x + 83. write two equations in one variable that have the same number of solutions as this equation.
Answer:
It has infinity solutions.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation 49x + 9 = 49x + 83 has no solutions.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
2x + 4x + 5 = 7 is an equation.
We have,
49x + 9 = 49x + 83
Solving for x we get,
49x + 9 = 49x + 83
Subtract 49x on both sides.
9 = 83
This is not true.
This condition is a system of equations where there are no solutions.
Thus,
The equation 49x + 9 = 49x + 83 has no solutions.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
What is the correct answer?
it option 2
Step-by-step explanation:
I need the answer asappp
- this is a proportion so you can cross multiply to find the answer.
162.5 25
--------- = ---------
x 54
162.5(54) = 25x
8775 = 25x
x = 351
— request: please mark brainiest, and click the thanks button if correct <3
The scale of a model train is 1 Inch to 14 feet. One section of the model train is 32 inches long. What is the length, in feet, of the real life version of the section of train cars?
Answer:
5⋅13.5=67.5
so its 67.5
Step-by-step explanation:
a dental company has rolls of floss that are 1872 in long they want to put the distance in the yard on their label what is the distance of rows of floss in yards a 25-yard b-52 yards c63 rd72 yards in 80 yards
horizon cellular offers a monthly plan of $15 for 350 minutes. All talk cellular offers a monthly plan of $20 for 425 minutes. which company offers the better plan per minute? ill give brainliest
Answer:
Step-by-step explanation:
350minutes / $15 = 23.33 minutes per dollar
425minutes/$20 = 21.25 minutes per dollar
Looks like you get more minutes per dollar out of the $15 dollar plan. :)
Answer:
the 15 dollar plan
Step-by-step explanation:
