What was the total amount of water in the tank before it was drained
450 gallons
510 gallons
560 gallons
570 gallons
Total amount of water before it was drained will be 510 gallons.
What is rate?"It is a ratio in which the two terms being compared have different units."
For given question,
We have been given a table for the number of gallons of water left in the tank after being drained for two amounts of time.
First we find the rate at which the water was drained from the tank.
[tex]r=\frac{450-330}{30-10}\\\\ r=\frac{120}{20}\\\\ r=6~gallons~per~minutes[/tex]
Let the amount of water in the tank before it was drained = 'x' gallons
And the initial time = 0
Using the rate formula,
[tex]r=\frac{x-450}{10-0}\\\\ 6=\frac{x-450}{10}\\\\ 60=x-450\\\\x=450+60\\\\x=510~gallons[/tex]
Therefore, total amount of water before it was drained will be 510 gallons.
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Find the measure of each angle in the isosceles trapezoid WXYZ.
Answer:
Given each largest angle is x, then the other angles are x, x, 180 -x, 180 - x
This is because of the properties of isosceles triangle
Joe would like to paint a rectangular shaped wall. The measures of dimensions of the wall are 8 inches by 4 inches. Every 1 inch represents 3 feet of the actual wall. If the cost of the painting is $2.50 per square feet, find the total cost of paint needed for the entire wall.
Answer:
$90
Step-by-step explanation:
8 + 4 = 12
12 x 3 (3 feet for each inch) = 36
36 x 2.50 (cost per square foot) = $90
Answer:
$240
Step-by-step explanation:
8 x 4 is 32
32 x 3 is 96
96 x 2.5 is 240
Two ways you can solve the following equation : 20 = 5(-3+x)
Answer:
x=7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Method one:
You divide both sides by 5 and get
4= -3+x
7=x
Method 2:
You can distribute the 5
20= -15+5x
35=5x
x=7
Which words correctly complete the statement below?
why doesn't an elephant smoke?
Answer:
Because it can't
Step-by-step explanation:
Answer:
i dont know, y does it smoke?
Step-by-step explanation:
152, 149, 146,...
Find the 44th term.
Answer:
The 44th term is 23
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
If at least two consecutive terms are given, we can find the common difference by subtracting them.
We are given the terms 152, 149, 146,...
The common difference is
r = 149 - 152 = -3
The first term is a1=152.
Now we apply the general formula to find the term n=44
[tex]a_{44}=152-3(44-1)[/tex]
[tex]a_{44}=152-3(43)[/tex]
[tex]a_{44}=152-129=23[/tex]
The 44th term is 23
Solve the equation for X:
3x – 8 – 5x
2(x+3)
Answer:
-7/2
Step-by-step explanation:
3x-8-5x=2(x+3)
3x-5x-8=2x+6
-2x-8=2x+6
-2x-2x-8=6
-4x-8=6
-4x=6+8
-4x=14
x=14/-4
simplify
x=-7/2
he alr answered ;( im now sad
what is the formula for quadratic equations?
Answer:
ax^2 + bx + c = 0
Step-by-step explanation:^2 means 2 to the second power if you didn't know a, b, and c are the known numbers and x is the unknown
Find the missing number of the unit rate
20/5 = ?/1
Answer:
The missing number of the unit rate is 4
Step-by-step explanation:
20 divided by 5 is 4, which is the same thing as [tex]\frac{4}{1}[/tex], so the missing number of the unit rate is 4.
:
Jeremy has hit 5 home runs so
far this season. This represents
20% of his yearly goal. How many
more homeruns does he need to hit
to achieve his goal?
Answer:
20 home runs left to hit.
Step-by-step explanation:
Ok so 100%/20% is 5. Increment 5 home runs until you get to 100%. So, 20% =5, 40% = 10, 80% = 15, and 100% = 20
Answer: 25 home runs
Step-by-step explanation:
20% = 5
40% = 10
80% = 20
80% + 20% = 100%
5+10=25
a new computer comapny has its sales increasing by 3% each week. A second computer company has its sales decreasing by $100 each day. the first company had $500 in sales when the second company had $7000 in sales. after approximately how many weeks will the sales for the two companies be the same?
A. 9
B. 13
C. 49
D. 63
Answer:
49
Step-by-step explanation:
Una sustancia se encuentra en 15°c pero a partir de comienzo de un experimento su temperatura disminuye de manera uniforme a razón de 2°C por minuto. ¿Que temperatura alcanzo la sustancia 15 minutos después del comienzo?
¿Cuanto tiempo debe pasar par que alcance los 0°C?
Answer:
1= -15 °C
2= 7 minutos y medio
Step-by-step explanation:
1= colo la temperatura va bajando 2 grados cada minuto lo único que hay que hacer es restarle 30 °C a 15 y nos da -15 ° C
2= Solo divides 15 entre 2 y ya.
Tamia has four more coins in her collection than Troy. The number of coins in Troy's collection is two raised to the power of eight. Enter the missing part of the numerical expression that represents the number of coins in Tamia's collection. □+28
Answer:68
Step-by-step explanation: 8 x 8 = 64
4 more, 68
What is the classification of the triangle by its angle and by its sides?
[tex]\color{plum}\tt\bold{(A) \: acute , \: equilateral}[/tex]
○=> Steps to derive correct option :▪︎In this triangle all angles are less than 90°. We know that angles of a triangle which are less than 90° in measure will be called acute angles. Thus, this triangle is an acute angle when we classify it by it's angles.
▪︎All sides of this triangle are equal. We know that when all sides of a triangle are equal, it is to be called an equilateral triangle. Thus, this triangle is an equilateral triangle when we classify it by it's sides.
Therefore, the correct option is (A) acute, equilateral
Triangle Theorem ( sss, sas, asa )
Answer:
A.) SSS
B.) HL
C.) SAS
Eva and Jimmy share and amount of money in the ratio of 8:5 Eva gets 21 more than Jenny. How much do they get each
Answer:
Eva:$56
Jimmy/Jenny:$35
Step-by-step explanation:
diff->8-5=3
3u->$21
1u->$21÷3=$7
Eva->$7×8=$56
Jimmy/Jenny->$7×5=$35
can someone help me please what is m
Answer:
m = 20
Step-by-step explanation:
We have two fractions and are asked to find m.
When we have a question like this, cross multiplying is our key, to find m, we need to first find the value of the denominator of the other fraction and the numerator of the same fraction m is in.
Therefore :
[tex]\frac{8}{m} = \frac{6}{15}[/tex]
[tex]\frac{8*15}{m*6}[/tex]
What is 8 * 15?
120.
Now we need to find what times 6 equals 120 to get m.
Divide 120 by 6
20
Therefore, m is equal to 20
find the value of y when x equals 18.
x - 7y= -17
Answer:
y = 5
Step-by-step explanation:
Step 1:
(18) -7y = -17
-18 -18
Step 2:
-7y = -35
÷-7 ÷-7
y = 5
Find x
16 ft
х
12 ft
Answer:
x = 20
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
x = [tex]\sqrt{400}[/tex] = 20
Triangle LMN has L at (1, -1) and M at (2, 3). Triangle L'M'N' has L' at (-1, -1), M' at (3, -2), and N' is at (-3, 0). What are the coordinates of vertex N?
N (3, 0)
N (0, 0)
N (0, 3)
N (0, -3)
Answer:
The answer is N(0,-3)
What is variable income
Answer:
Variable income is amount of money a person receives that changes over an amount of time, or changes according to the situation. The Commissions and interest on investments or savings might be examples of variable income.
Step-by-step explanation:
Answer:
"Variable income means earned or unearned income that is not always received in the same amount each month."
Step-by-step explanation:
The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function C can be represented with this set of rules:
Question: How much will it cost with 20 people?
Answer: It would cost $150 for a party of 9 people and it would cost $260 for 20 people
Step-by-step explanation:
The number 9 falls in between 0<n<_ 12 so the cost is 150
The number 20 falls in between 12<n<_ 20 so the cost is 260
14. Write a linear equation to represent the sequence 3, 7, 11, 15, ….
Answer:
RECURSIVE: f(n)=f(n-1)+4
EXPLICIT: f(n)=3+4n
The linear equation to represent the sequence 3, 7, 11, 15, …., is aₙ = a₀ + (n-1)4.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
An arithmetic sequence:
aₙ=a₁+(n−1)d
Given:
A sequence,
3, 7, 11, 15, ….
To write in a linear equation form:
Let aₙ is a variable that represents the term.
And a₀ is the initial term.
And d be the common difference.
Now, we have to find the common difference d.
The difference between consecutive terms,
7 - 3 = 4
11-7 = 4
15 - 11 = 4
Hence, d = 4.
So, the equation,
aₙ = a₀ + (n-1)4
Therefore, the linear equation is aₙ = a₀ + (n-1)4.
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7z/4+5x if z=8 and x=3 PLEASE HELP THIS IS DUE IN 20 MINS.
Answer:
29
Step-by-step explanation:
7(8)/4+5(3)
56/4+15
14+15
29
There are 8 sixth graders and 16 seventh graders in a class.
What is the ratio of seventh graders to total students?
Answer:
2:3
Step-by-step explanation:
16/24=1/3
4/6 is the ratio of seventh graders to total students.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that there are 8 sixth graders and 16 seventh graders in a class.
The total number of students in class are sum of sixth and seventh
Sixth graders=8
Seventh graders=16
16+8=24
Total students are 24.
the ratio of seventh graders to total students is 16:24
16/24
16 and 24 are multiples of 4
4/6 is the ratio of seventh graders to total students
Hence, 4/6 is the ratio of seventh graders to total students.
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Determine the number of solutions of the system.
3x + 2y = 1
3x + 2y = 4
The system has no solution.
The system has one solution,
The system has infinitely many solutions,
Answer:
x+y=1, x+y=10
Step-by-step explanation:
x+2y=1×3, x+2y=4×3
How do I find the value of x?
Answer:
2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
tan = opp/adj
tan(30) = x/6 ** multiply by 6 on both sides
6tan(30) = x
[tex]2\sqrt{3}[/tex] = x
The exponent of a linear function is ___.
A. 2
B. 1/2
C. 1
D. X
The equation above, you can see that the exponent of a linear function is x
What are exponential function?Exponential functions are inverse of logarithmic functions. The standard exponential function is expressed as:
f(x) = a(b)^x
From the standard equation
a is the base
x is the exponent
b is the rate of change
From the equation above, you can see that the exponent of a linear function is x
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Function 1 is defined by the equation y = -2t + 6
Function 2 is defined by line h, shown on the following graph.
Which function has a more negative slope?
Choose 1 answer:
A. Function 1
B. Function 2
C. The functions have the same slope
Answer:
FUNCTION A
Step-by-step explanation:
It said it was right on khan
Function 1 have more negative slope.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Function 1 is defined by the equation y = -2t + 6
Function 2:
Slope = 4/ 4 = 1
Then, the equation would be
y - 0 = 1( t- 4)
y= t - 4
Hence, Function 1 have more negative slope.
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