The amount of water the fish tank can hold is 3375 inches³.
Volume of a cubev = l³
where
l = length
Therefore,
length = 15 inches
How much water the tank can hold is the volume of the tank. Therefore,
v = l³
v = 15³
v = 15 × 15 × 15
v = 3375 inches³
learn more on cube here: https://brainly.com/question/2965400
graph the following equation y= 1 - 5/3x
first, fill incthe table.
Answer:
good luck
Step-by-step explanation:
I do not remember
97 is what percent of 837? Round to the nearest whole #
Answer:
12
Step-by-step explanation:
A standard sheet of paper in the United States is 11 inches long and 8.5 inches wide. Each inch is 2.54 centimeters. How long and wide is a standard sheet of paper in centimeters?
A gas pump fills gas into a flying hot air balloon at a constant rate. The table shows the relationship between the total number of gallons of gas, y, a hot air balloon uses flying for x hours.
pls hurry
Number of Hours Gallons of Gas
2 60
3 90
4 120
a 3x
b 6x
c 30x
d 60x
Answer: C 30X
Step-by-step explanation:
Using your knowledge of 2- and y-intercepts, which graph matches the equation y = x + 2x - 3?
Answer:
ANSWER (A.
Step-by-step explanation:
HOPE IT HELP'S !
Solve for x and y
2x-5y=1, 3x+2y=11
2x - 5y = 1
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term -5y to the other side of equation.
[tex]\rm{2x - 5y = 1 }\\ [/tex]
[tex] \rm{2x - 5y + 5y = 1 + 5y}\\[/tex]
Subtract -5y from both sides of the equation
Simplify 2x - 5y + 5y = 1 + 5y
Cancel -5y with 5y
Reorder 1 + 5y so highest order terms are first
[tex] \rm{x = \frac{5y + 1}{2} } \\ [/tex]
Move factors not having X from the left side of equation 2x = 5y + 1
[tex] \rm{ \frac{2x}{2} = \frac{5y + 1}{2} } \\ [/tex]
Divide both sides of equation 2x = 5y + 1 by 2
Cancel 2 with 2
[tex] \rm{ \frac{\cancel{2}x}{\cancel{2}} = \frac{5y + 1}{2} } \\ [/tex]
[tex] \rm{x = \frac{5y + 1}{2} } \\ [/tex]
Therefore, the x of 2x - 5y = 1 is [tex] \rm{ \frac{5y + 1}{2} } [/tex]
Solve for y2x - 5y = 1
[tex]\rm{-5y + 2x = 1}\\ [/tex]
Reorder 2x -5y so highest order terms are first
-5y = -2x + 1
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2x to the other side of equation -5y + 2x = 1
[tex]\rm{-5y + 2x - 2x = 1 - 2x}\\[/tex]
Subtract 2x from both sides of the equation
Simply - 5y + 2x -2x = 1 - 2x
Cancel 2x with -2x
Reorder 1 - 2x so highest order terms are first
[tex] \rm{y = - \frac{2x + 1}{5} }\\[/tex]
Move factors not having y from the left side of equation -5y = -2x + 1
[tex]\rm{ \frac{ - 5y}{ - 5} = \frac{ - 2x + 1}{ - 5} }\\ [/tex]
Divide both sides of equation -5y = -2x +1 by -5
Simplify [tex]\rm{ \frac{ - 5y}{ - 5} = \frac{ - 2x + 1}{ - 5} } [/tex]
Cancel 5 with -5
Resolve sign on fraction [tex] \rm{\frac{ - 2x + 1}{ - 5} }[/tex]
Therefore, the y of 2x-5y = 1 is [tex]\rm{\frac{ - 2x + 1}{ - 5} } [/tex]
Solve for x3x + 2y = 11
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2:y to the other side of equation 3 x + 2y - 2y = 11 - 2y
Subtract 2y from the both sides of the equation
Simplify 3x + 2y - 2y = 11 - 2y
Cancel 2y with 2y
Reorder 11 - 2y so highest order terms are first
[tex] \rm{x = \frac{2y + 11}{3} } \\ [/tex]
Move the factors not having x from the left side of equation 3x = -2y +11
[tex] \rm{ \frac{3x}{3} = \frac{-2y + 11}{3} } \\ [/tex]
Divide both sides of equation 3x = 2y + 11 by 3
Cancel 3 with 3
[tex] \rm{ \frac{\cancel{3}x}{\cancel{3}} = \frac{-2y + 11}{3} } \\ [/tex]
[tex] \rm{x = \frac{2y + 11}{3} } \\ [/tex]
Therefore, the x for 3x + 2y = 11 is [tex] \rm{ \frac{2y + 11}{3} } [/tex]
Solve for y2y + 3x = 11
Reorder 3x + 2y so highest order terms are first
[tex]\rm{2y + 3x = 11}\\[/tex]
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2:y to the other side of equation 2y + 3x = 11
[tex]\rm{2y + 3x - 3x = 11 - 3x}[/tex]
Subtract 3y from the both sides of the equation
Simplify 2y + 3x - 3x = 11 - 3x
Cancel 3x with - 3x
Reorder 11 - 3x so highest order terms are first
[tex] \rm{y= - \frac{3x + 11}{3} } \\ [/tex]
Move factors not having y from the left side of equation 2y = -3x + 11
[tex] \rm{ \frac{2y}{2} = \frac{-3x + 11}{3} } \\ [/tex]
Divide both sides of equation 2y = -3x + 11 by 2
Cancel 2 with 2
[tex] \rm{ \frac{\cancel{2}y}{\cancel{2}} = \frac{-3x + 11}{3} } \\ [/tex]
[tex] \rm{y = \frac{-3x + 11}{3} } \\ [/tex]
Therefore, the y for 2y + 3x = 11 is [tex] \rm{ \frac{-3x + 11}{3} } [/tex]
The perimeter of a square is equal to the perimeter of rectangle of length = 16 cm and breadth=4 cm. What is the perimeter and side of the square?
Find the area of the region between two concentric circular paths. If the radii of the circular paths are 210 m. and 490 m. respectively.
Given :
The radii of the circular paths are 210 m. and 490 m.To Find :
The area of the region between two concentric circular paths.Solution :
Area of the outer circle :
[tex]\: \qquad \dashrightarrow \sf{{ \pi \: \times {(490)}^{2} {m}^{2}}} [/tex]
[tex]\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{7} \times \:490 \times 490 \: {m}^{2}}} [/tex]
[tex]\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{ \cancel{7}} \times \cancel{490} \times 490 \: {m}^{2}}} [/tex]
[tex]\: \qquad \dashrightarrow \sf{{ \ {22} \times 70 \times 490 \: {m}^{2}}} [/tex]
[tex]\: \qquad \dashrightarrow \bf{{ \ 754600 \: {m}^{2}}} [/tex]
⠀
Area of the inner circle :
[tex]\: \qquad \dashrightarrow \sf{{ \pi \: \times {(210)}^{2} {m}^{2}}} [/tex]
[tex]\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{7} \times \:210 \times 210 \: {m}^{2}}} [/tex]
[tex]\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{ \cancel{7}} \times \cancel{210} \times 210 \: {m}^{2}}} [/tex]
[tex]\: \qquad \dashrightarrow \sf{{ \ {22} \times 30 \times 210 \: {m}^{2}}} [/tex]
[tex]\: \qquad \dashrightarrow \bf{{ \ 138600 \: {m}^{2}}} [/tex]
⠀
Therefore,
Area of the region inside the circular paths :
[tex]\: \qquad \dashrightarrow \sf{{ \ (754600 - 138600 ) \: {m}^{2}}}[/tex]
[tex]\: \qquad \dashrightarrow \bf{{ \ 616000 \: {m}^{2}}}[/tex]
If someone can answer these both I’ll give 75 points
Solution (1):
Note that:
Sum of interior angles = 180°This means that...
5x + 3x + 2 + 130 = 180Finding the value of x.
5x + 3x + 2 + 130 = 180=> 8x + 132 = 180=> 8x = 180 - 132=> 8x = 48=> x = 6Solution (2):
Note that:
Sum of interior angles = 180°This means that...
x + 66 + x + 86 + 50 = 180°Finding the value of x.
x + 66 + x + 86 + 50 = 180°=> 2x + 202 = 180°=> 2x = -22=> x = -11Need Help Please!!!!!!
Answer:
64°
.
.........................
Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and – (–4fraction of one-half). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first.
Answer:
Step-by-step explanation:
Given : points 4 , 1 ,25 , opposite of 3 , -1/2
To Find : draw on Number Line
Solution :
Numbers with a negative sign are less than zero
Right of zero represented by ‘+’ sign and to the left of zero represented by ‘–’ sign.
+ sign numbers can be denoted as simply numbers
On a number line the number increases as we move to the right and decreases as we move to the left.
1 : Draw a line and mark some points at equal distance on it as shown in the figure below Mark a point as zero on it. Points to the right of zero are positive integers and are marked simply 1, 2, 3 and so on , while points to the left of zero are negative integers and are marked – 1, – 2, – 3 and so on
2. Go 4 unit on right sides from Zero to show 4
3. Go 3 units on Left from zero to show opposite of 3
4. Divide number line between 1 & 2 in 4 Equal parts and go 1 part right of 1
5. Divide number line between 0 & -1 in 2 Equal parts and go 1 part left of 0
give brainliest.
Can someone pls explain me how to do this pls!!!
Answer:
A, C, E
Step-by-step explanation:
You would want to graph the points an if the line goes through them then that would be the answer
Rewrite the Equation in Ax+By=C form. Use Integers for A,B, and C
Answer:
-x + 5y = 15
Step-by-step explanation:
Hello! This question simply asks us to rearrange the equation.
So we have this:
y - 2 = 5(x + 5)
Okay, so we need to get an answer with integers for x and y, but no brackets. This means we can start by expanding them:
5y - 10 = x + 5
now, let's put y and x on the same side of the equation, and numbers on the other side:
5y - x = 5 + 10
5y - x = 15
we can put x first, but it's not necessary:
-x + 5y = 15
A = -1
B = 5
C = 15
And that's it!
I hope this makes sense :))
Answer:
5x - y = - 27
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y - 2 = 5(x + 5) ← distribute parenthesis
y - 2 = 5x + 25 ( add 2 to both sides )
y = 5x + 27 ( subtract 5x from both sides )
- 5x + y = 25 ( multiply through by - 1 )
5x - y = - 27 ← in standard form
Samantha saw two bottles of ketchup at the store for the same price. One bottle contained 4 pints of ketchup, and the other contained 1.25 quarts of ketchp. Which bottle was the better bargain?
Answer:
The bottle with 1.25quarts is the better bargain because a quart is the same thing as 2pints
If 14% of a number is 18, find 7% of that number.
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
14%= 18
1%= [tex]\frac{18}{14}[/tex]
7%= [tex]\frac{18}{14}[/tex] x 7
= [tex]\frac{18}{2}[/tex]
= 9
HELLLLLPPPPPPPP!!!!!!!!!!!!! IT GOT DELETED LAST TIME!!!!!!
4x^3y^2 x 3x^6y^3/24x^11y^2
Answer:
x²⁰y⁷
____
2
Step-by-step explanation:
multiply
combine exp
cancel terms
combine multiplied terms
combine exp
Help pls
MODELING WITH MATHEMATICS The period of a
pendulum is the time the pendulum takes to complete
one back-and-forth swing. The period T in seconds)
can be modeled by the function T = 1.11ve, where
l is the length (in feet) of the pendulum. Graph the
function. Estimate the length of a pendulum with a
period of 2 seconds. Explain your reasoning.
Answer:
Approximately 1.6
Step-by-step explanation:
To graph. a function, let use desmos or graphing calculator.
Here the function.
The length of the pendulum as shown here when x=2, is 1.6
Hi i have a trick question 2 actually so we started to do simply fy and i dont understand these 2 so here it is -2 x y +7x
and 10x + 2y - 2x +2y/2 +8y
Answer:
The first one is: -2xy+7x
The second one is: 12x+9y
Number one is a little weird in how you put it, but I hope this helps!
Normal body temperature is 98.6 degrees Fahrenheit. When Tyler had a fever, his temperature went up to 102.2 degrees. By how much did Tyler's temperature increase?
the hot air popcorn maker used at the movies theater produces 14 cups of popcorn in 2.5 minutes. what is the unit rate per minute?
2x+3y=53 what is the value of y and x
Answer:
[tex]2x = 53 - 3y \\ x = \frac{53 - 3y}{2} \\ y = \frac{53 - 2x}{3} [/tex]
Look at the cards below. When the cards are face down, your chances of picking an "A" card out of the group are 2/5. Approximately how many times would you pick an "A" card if you chose 50 times? XA GAP x S Р Hint: Set up a proportion
50 times; 40% A
2/5(50) = A
A = 20
Answer:
50 times; 40% A
2/5(50) = A
A = 20
Step-by-step explanation:
what is the area, please help me!
Answer:
30ft2. (C.)
I did this question once.
Sorry for my Lack of explanation.-
Answer:
C
Step-by-step explanation:
Draw a line to make 2 separate shapes and find the area of each them then add the 2 areas together
18+12=30
Find f(6) if f(x) = x2 ÷ 3 + x.
18
21
10
4
Answer:
the answer for d question is 10
[tex]v = \frac{er}{r + a} [/tex]
Find R in image
Step-by-step explanation:
[tex]V = \frac{ER}{R + a} [/tex]
[tex]V(R+a)=ER[/tex]
[tex]VR + Va=ER[/tex]
[tex]Va= ER-VR[/tex]
[tex]Va=R(E-V)[/tex]
[tex]R = \frac{Va}{E-V} [/tex]
Use the graph above to answer the question. Select all the terms that describe the graph of the function in interval 3 HELPPPPPPPP
Answer:
true false false true true
I NEED THIS DONE IN 5 MIN SOMEONE HELP
Answer:
4
Step-by-step explanation:
What is 3/8 to the nearest half? I need an explanation too cause I don't understand how to say it :)))
Answer:
HOP IT HELPS
3/8=1.5/4
because when you divide
3÷2 and 8÷2
you get
1.5/ 4
Answer:
1/2
Step-by-step explanation:
3/8 to the nearest 1/2.
The question wants to know if you round 3/8 to the nearest half, what value would that be? On a number line from 0 to 1, we could mark every 1/8 unit:
0/8==1/8==2/8==3/8==4/8==5/8==6/8==7/8==8/8
Note that 0/8 is 0, 4/8 is 1/4 and 8/8 is 1.
3/8 is one step from 4/8, or 1/2. So the nearest half would be 1/2.
3. Angles X and Y have a sum of 159 degrees. Angle X is 43 degrees smaller than angle Y.
Write a system of equations that represent this, then solve it to find the measures of both
angles.
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\longrightarrow[/tex]Since angle X and Y have a sum of 159
[tex]\implies \bf Y + X= 159 \_\_\_\_(1) [/tex]
[tex]\longrightarrow[/tex]Since X is 43 degrees smaller than Y , so subtracting X from Y would give 43 , therefore equation will be written as -
[tex]\implies \bf Y - X = 43 \_\_\_\_(2) [/tex]
Adding Equation (1) and (2)
[tex]\begin{gathered}\\\implies\quad \sf Y+X+Y-X = 159+43 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Y+Y + X-X = 202 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2Y = 202 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Y = \frac{202}{2} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \boxed{\sf {Y = 101 }} \\\end{gathered} [/tex]
Putting Y in eq (1)
[tex]\begin{gathered}\\\implies\quad \sf X + 101 = 153 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf X = 153-101 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \boxed{\sf{ X = 52 }}\\\end{gathered} [/tex]
evaluate each expression (-1) • 2 • 3
Answer:
-6
Step-by-step explanation:
-1 * 2 * 3
= -2 * 3
= -6
Answer:
-1 x 2 = -2
-2 x 3 = -6
Answer:
-6