The total amount Mr Page paid for the oil he bought in February was $21,580.
Since Mr Page uses oil to heat his home, and at the beginning of November there were 1000 liters of oil in his oil tank, and Mr Page bought enough oil to fill the tank completely, and he has paid $50 per liter for this oil, and he has paid a total amount of $750, while at the end of February Mr Page had 600 liters of oil in the tank, and he has bought enough oil to fill the tank completely, and the cost of oil had increased by 4%, to determine the total amount Mr Page paid for the oil he bought in February, the following calculation must be performed:
1000 + (750 / 50) = X1000 + 15 = X1015 = X1015 - 600 = 415415 x (50 x 1.04) = X415 x 52 = X21,580 = XTherefore, the total amount Mr Page paid for the oil he bought in February was $21,580.
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In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 23 hours. How long would it be, to
the nearest tenth of an hour, until there are 10500 bacteria present?
Answer: x = 22.7
Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500
Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300
Reduce the fraction:2 x/23 = 105/53
Convert exponential to logarithm form: x/23 = long^2 105/53
Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23
Rewrite the expression: x = 23 long^2 105/53
Round the number: x = 22.7
Answer: x = 22.7
Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 and 4 m 2 2 m.
Answer:
Step-by-step explanation:
The expressions that are equivalent when m = 1 and m = 4 is;
Option B: 3m + 4 and m + 4 + 2m
We are given m = 1 and m =4;
A) 5m - 3 and 2m + 5 + m
B) 3m + 4 and m + 4 + 2m
C) 2m + 7 and 3m - 3 + m
D) 5m + 3 and 4m + 2 + 2m
For option B; 3m + 4 and m + 4 + 2m
Let's put m = 1
3(1) + 4 = 7
Also, 1 + 4 + 2(1) = 7
Similarly, let us put 4 for m to get;
3(4) + 4 = 16
Also, 4 + 4 + 2(4) = 16
In both cases, the expressions are equivalent and as such option B is the right one.
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What is the x-coordinate of the solution to the system of equations?
3x + 5y = 10
1x + 5y = 2
Answer:
x = 4
Step-by-step explanation:
Use elimination method.
-----------------
3x + 5y = 10
-(1x + 5y) = -1(2)
-1x -5y = -2
------Simiplify------
2x = 8
x = 4
Walter can make 7 holiday cards with the cardstock he already has on hand. He is also buying more paper, and he can make 12 additional cards with each package of cardstock he buys. If Walter buys 6 packages of cardstock, how many cards can he make in all?
Answer:
dsde
Step-by-step explanation:
Could someone help. Please show work
Answer:
x=-2 and y=5
x=-1 and y=4
Step-by-step explanation:
hope tha work
Which rule was used to create the input/output?
Answer:
B. y = -4x
Step-by-step explanation:
input x in the possible answers
y = -4x
-4(2) = 8
-4(1) = -4
-4(-3) = 12
-4(-5) = 20
please help me What is the mode of the data shown in this stem-and-leaf plot?
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
Enter your answer as a number, like this: 42 and explain your answer
Explanation:
The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.
In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.
The mode is 24.
I need help plz asp
9
Step-by-step explanation:
woody is 5
buzz is 3
mr potato head is 3
rex is 7
alien is 1
A scale of a model has a scale of 1:360.
A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?
B How many times the length of the model is the length of the actual stadium
Answer:
120 yards,360 feet's of length and 53 1/3 yards,160 feet of width
Satoko has 30 tokens to spend at an arcade. The three lines represent the cost of playing Satoko's three
favorite games for various numbers of times.
Answer:
KOF
Step-by-step explanation:
Khan Academy
Trust me
Answer:
KOF
Step-by-step explanation:
Khan academy
A cylindrical, wooden table top has a density of 0.42 g cm 3 and a mass of 0.25 kg.
The table top has a depth of 6 cm.
Find the radius of the table top, rounded to 1 dp.
The radius of the table top, rounded to 1 dp is 5.6 cm
From the question,
We are to determine the radius of the table top
First, we will determine the volume of the cylindrical wooden table
From the given information
Density = 0.42 g/cm³
Mass = 0.25 kg = 250 g
Using the formula
[tex]Volume = \frac{Mass}{Density}[/tex]
∴ [tex]Volume = \frac{250}{0.42}[/tex]
Volume = 595.238 cm³
Now, for the radius of the table top
Using the formula for volume of a cylinder
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height or depth
From the given information
h = 6cm
Putting the parameters into the formula
[tex]595.238 = \pi r^{2} \times 6[/tex]
∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]
[tex]r^{2} =31.57835667[/tex]
[tex]r =\sqrt{31.57835667}[/tex]
r = 5.6 cm
Hence, the radius of the table top, rounded to 1 dp is 5.6 cm
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There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many students did their homework?
Please write a equation for this table
Answer:
y = 5x +2
Step-by-step explanation:
The point (0, 2) tells us the y-intercept is 2.
If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...
6, 30
-2, -10
0, 0
10, 50
We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.
y = 5x +2
Identify the horizontal asymptote of f(x) = 4 x over 7. Y = 0 y = 4 over 7 y = 7 over 4 No horizontal asymptote.
The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4
Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.
From the given function, the expression at the numerator is 4x.
h(x) = 4xFor instance, if we have a function y = ax, the variables of the function are x and y and the coefficient is "a"Similarly for the expression h(x) = 4x, the coefficient of the expression is 4
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Answer: C
Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation
what is 5^12 divided by 5^3 simplified
Answer: 1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
how do you evaluate?
We evaluate an algebraic expression by the determination of an unknown variable.
Evaluation is a systematic method used in solving most algebraic expressions in mathematics.
Let assume that we have a given algebraic expression where y is expressed in terms of x and;
y = 2x + 5 where (x = 4)
Here, y and x are the variables;y = 2(4) + 5
y = 8 + 5
y = 13
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Triangle JKL is similar to triangle MNO. Find the measure of side MN. Round your answer to the nearest tenth if necessary.
Answer:
I believe the answer is 47. Forgive me if I'm wrong
F(x) = 3x2+ 6x - 18 find f (10)
Answer:
f(10) = 342
Step-by-step explanation:
f(x) = 3x² + 6x - 18
f(10 = 3(10)² + 6(10) - 18
f(10) = 3(100) + 60 - 18
f(10) = 300 + 60 - 18
f(10) = 360 - 18
f(10) = 342
A group of fitness club members lose combined total of 28 kilograms in 1 week there are approximately 2.2 pounds in 1 kilogram assuming the weight loss happened at a constant rate about how many pounds did the group lose each day?
Answer:
8.8
Step-by-step explanation:
First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.
Hope This Helps:)
Answer: 8.8
Step-by-step explanation:
1
Arrange the following steps in the right order so as to find the roots of the following quadratic equation.
22 +22 - 8=0
=
-2 +6
=
2
-2 +4+32
2.
=
= = =
I = -4; = 2
x = -13
TI
-2 = 36
2
-2 +(2) – 4(1)(-8)
2 (1)
2
= r = -1 -3: x = -1 +3
Answer:
22 +22 - 8=0
=
-2 +6
=
2
-2 +4+32
2.
=
= = =
I = -4; = 2
x = -13
TI
-2 = 36
2
-2 +(2) – 4(1)(-8)
2 (1)
2
= r = -1 -3: x = -1 +3 = sin \theta
Step-by-step explanation:
Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.
Answer: By using the rounding rule.
Step-by-step explanation:
387 x 397 => 387.4
384 x 352 => 387.4
Determine the correct value of 3x + 2 when x= 5
Step-by-step explanation:
3x+2
3 x 5=15
15 + 2 = 17
so your answer is 17
pemdas
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Can someone plz help Me?
Answer:
i am pretty sure its C
Step-by-step explanation:
Leticia reads the temperature of a solution in a lab experiment. The temperature of the solution is 6.1ºF. After 6 hours, she reads the temperature of the solution again. The temperature of the solution is now −1.7°F. Leticia plots the points on a number line to determine the temperature change between these two readings. How much did the temperature decrease? Enter your answer as a decimal in the box.
Answer:
1.4F. When you add 3.1 to -1.7 you get 14F
Answer:
1.4 is the answer
Step-by-step explanation: Hey I didn't get an A on my test but i got this one right
Y+2= 1/3(x+6)
Solve for y
Answer:
y = 1/3x
Step-by-step explanation:
Alright, so we have an equation with two variables (y and x) and I need to solve for y in terms of x. That is, I need to isolate y one one side with all the other terms on the other side.
First, let's distribute the 1/3 on the right side of the equation onto the x and 6 inside the parentheses.
y + 2 = 1/3(x + 6)
y + 2 = 1/3(x) + 1/3(6)
y + 2 = 1/3x + 2
Now, let's isolate y on the left side by removing 2 from both sides.
y + 2 = 1/3x + 2
y + 2 - 2 = 1/3x + 2 - 2
y = 1/3x
So, y is equal to 1/3x. Hopefully that's helpful! :)
9x + 1 = -26 what is the value of x
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for x ~
[tex] \sf9x + 1 = - 26[/tex][tex] \sf9x = - 26 - 1[/tex][tex] \sf x = - 27 \div 9[/tex][tex] \sf x = - 3[/tex]Hence, value of x is -3
Find the perimeter of both ( they have the same perimeter)
Answer:
x=2
Step-by-step explanation:
6x+3+2x+1+4x=12x+4
5x+5x+3x+2=13x+2
12x+4=13x+2
4-2=13x-12x
2=x
ASAP
Please show working out I will give out brainiest :)
9x-5y=2
3x-4y=10
can anyone please explain how the answer of this question is:
x=-4
y=-2
Answer:
9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4
3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)
*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)
(solve using substitution method. MUST SHOW WORK)
There are 23 sharks and 7 octopi in the aquarium
Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y
If the total number of animals in the tank is 30, therefore;
x + y = 30 ....................... 1If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:
5x + 8y = 171 ................ 2From equation 1, x = 30 - y ................... 3
Substitute equation 3 into 2 to have:
5(30-y) + 8y = 171
150 - 5y + 8y = 171
3y = 171 - 150
3y = 21
y = 7
Recall that x = 30 - y
x = 30 - 7
x = 23
Hence there are 23 sharks and 7 octopi in the aquarium
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