Answer:
To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Step-by-step explanation:
Answer:
[tex]to \: convert \:0.2 \: to \: fraction \: \: you \\ \: insert \: 1 \: from \: the \\ \: decimal \: point \\ \: and \: then \: zeros \: according \: to \: the \: \\ number \: of \: values \: you \: have \: after \: \\ the \: decimal \: point \: \\ \frac{2}{10} = 0.2 \\ ok \: convert \: 0.052 \: to \: fraction \: you \\ \frac{52}{1000} = 0.052[/tex]
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by 910+(−710)+810+(−610)+⋯+310+(−110)+210 9 10 + ( − 7 10 ) + 8 10 + ( − 6 10 ) + ⋯ + 3 10 + ( − 1 10 ) + 2 10 . How much water is in the tank after 15 days? Write your answer as a decimal. gallon(s)
Answer:
The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.
Step-by-step explanation:
The amount of water in the tank after 15 days is given by the series
910+(−710)+810+(−610)+⋯+310+(−110)+210
From the series, we can observe that, if water is added for a particular day then water will be drained the following day.
Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.
Hence, we can complete the series thus:
910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210
To evaluate this, we get
910-710+810-610+710-510+610-410+510-310+410-210+310-110+210
= 1610.0 gallons
Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.
1. Armando started a new job as a mechanical engineer for a coal plant with an
annual salary of Php 200 000.00 in 2010. If she receives a Php 24 000.00 raise
each year, how much will her annual salary be in 2020?
Answer:
224,000
Step-by-step explanation:
annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer
i need help with linear functions can anybody help me?
I can help you! Just let me how what the questions are
what is the slope of the equation y=5/4x-7/4
Answer: x-intercept = 7/5 = 1.40000
y-intercept = -7/4 = -1.75000
Step-by-step explanation: Solve 4y-5x+7 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4y-5x+7 = 0 and calculate its properties
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -1.750 and for x=2.000, the value of y is 0.750. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.750 - (-1.750) = 2.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2.500/2.000 = 1.250
5,2,-1,-4,-7 arithmetic
given the system of linear equations:
2x+1/2y=7
6x-1/2y=5
which new equation would be the result of adding the equations together?
4x=2
8x=2
8x=12
y=12
Answer:
8x=12 cause y would cancel out and then you just add 2 and 6, and 7 and 5.
Help please!!! This is due in a couple hours!
I will give you brainliest
Answer:
I believe it would be 60
Step-by-step explanation:
Every triangle equals up to 180 degrees and this triangle is equal on all sides.
180÷3
Hope this helps! :)
Need help with this problem
Answer:
y = -3x + 8
I've done the steps in the photo
Hope it helps (｡･ω･｡)
Answer:
y = - 3x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, - 16) and (x₂, y₂ ) = (1, 5)
m = [tex]\frac{5+16}{1-8}[/tex] = [tex]\frac{21}{-7}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 5 ) , then
5 = - 3 + c ⇒ c = 5 + 3 = 8
y = - 3x + 8 ← equation of line
PLEASE HELPPP ASAP 50 POINTS !!!!!!!!!!!!!!!!!!! PIC BELOW
PLEASE HELP NOW!!
On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number?
Answer:
Point B is located where x is negative and y is positive.
Hope this helps!!
Please Help Me, I Cant Even Do the First Step Of The Problem :(
Theres an image of the graph in the question.
The graph of g is a vertical translation of the graph of f.
If f(x) = mx + b and g(x) = (mx + b) + k. What value for k transforms the function f into g?
k = ???
Answer:
k = -3
Step-by-step explanation:
A wire that is 80 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. 80 cm wire Suppose that the side length (in centimeters) of one square is x cm. Express the perimeter of the big square in terms of x. (1 point)
Answer:
The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]
Step-by-step explanation:
From the information given:
The length of the piece of the wire = 80 cm
When being cut into two pieces;
the length of the first wire = x
Then the length of the second(big) wire will be = 80 - x
However, when each piece is bent to a square shape
The length of one side of the first square = [tex]\dfrac{x}{4}[/tex]
The length of one side of the second(big) square; [tex]\dfrac{80-x}{4}[/tex]
Area of a square = l² ( where l is the length of the sides)
For the first square
A₁ = [tex](\dfrac{x}{4})^2[/tex]
A₁ = [tex]\dfrac{x^2}{16}[/tex]
The area of the second(big) square is:
A₂ = [tex](\dfrac{80-x}{4})^2[/tex]
A₂ = [tex](\dfrac{(80-x)^2}{4})[/tex]
The perimeter of the first square = [tex]4 \times \dfrac{x}{4}[/tex]
The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]
I neeeeed the answer ASP ILL GIVE BRAINLY
Answer:
Tree farm A mean = 8
Tree farm B mean = 8
Tree farm B
Step-by-step explanation:
Average the numbers
write the nature of roots of quadratic equation 4x square +4 root3x + 3=0
Answer:
yes right now because dont unable to ask you.
4x+5=6x-7
How do I solve this?
Answer:
x=6
Step-by-step explanation:
4x+5=6x-7
4x-6x=-7-5
-2x=-12
x=-12/-2
x=6
Answer: x=6
Isolate the variable by dividing each side by the factors that don't contain variables
Kim purchased a bottle of perfume for $1.50 per .80 ounce. What is the unit cost of the perfume?
Solve for x: 5 − (x + 5) > −2(x + 4)
x > −8
x −18
x < −18
PLS PLS PLS HURRY I GIVE BRAINLIEST
Answer:
The answer is
[tex] \huge x > - 8[/tex]
Step-by-step explanation:
[tex]5 − (x + 5) > −2(x + 4)[/tex]
First of all expand the terms in the bracket
That's
[tex]5 - x - 5 > - 2x - 8 \\ - x > - 2x - 8[/tex]
Add 2x to both sides
[tex] - x + 2x > 2x - 2x - 8 \\ x > - 8[/tex]
We have the final answer as
[tex]x > - 8 [/tex]
Hope this helps you
Answer:
x > -8
Step-by-step explanation:
5 − (x + 5) > −2(x + 4)
Simplify both sides first:
5 - x - 5 > -2x - 8
-x > -2x -8
Now isolate the variable:
-x > -2x -8
+2x +2x
x > -8
When simplifying the expression in part H, how many times will the sign change on the positive term? Will the final expression be positive or negative?
Answer:
There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.
Step-by-step explanation:
Answer:
There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.
Step-by-step explanation:
Examine the intersection of these two lines:
Which of the following pairs of angles are
supplementary? Select all that apply.
Answer:
You can't answer this question since there is no picture. Remember though the any 2 angles that make 180 degrees or resembles a line is 180 degrees.
Help ya girl out with this one please ASAP <3
Answer:
x = 1
Step-by-step explanation:
6x + 6x - 7 = 5
combine like terms
12x - 7 = 5
add 7 to both sides of the equation
12x - 7 + 7 = 5 + 7
12x = 12
divide both sides of the equation by 12
12x/12 = 12/12
x = 1
Answer:
x=1
Step-by-step explanation:
The attachement below.
*Remember: This is combining like-terms and solving 2-step equations*
A square patio has an area of 136 square feet. How long is each side of the patio to the nearest tenth?
Answer:
11.7
Step-by-step explanation:
Answer:
11.7 feet
Step-by-step explanation:
Area finds the length times the width (LxW). In other words, area is how long the first side is multiplied by how wide the second side is. If A=LxW, and we know A is 136, then we know that 136=LxW. This alone isn't enough to find L and W. However, we do know that the patio is a square. Squares have equal sides, so L and W will be the same number. Basically, you need to find the number that equals 136 when it's multiplied by itself. X multiplied by X needs to be 136. You can do this easily with a calculator, if you're allowed to have one. just use the square root function on 136, and be sure to round your answer. If you're not allowed to use a calculator, it's a bit more trial-and-error. Try to see what numbers multiplied by themselves get close to 136, and narrow it down from there (ex. if 11 is too little and 12 is too much, the answer is between 11 and 12). You can also look up video tutorials for how to find a square root without a calculator, or use other study platforms. I hope this helps, and feel free to ask me any questions!! :)
if x=-2, y=-6 and z=4, Find the value of 4xy 3marks
Answer:
Step-by-step explanation:
4xy=4*(-2)*(-6)
4xy=48
I need help ASAP please
so the answer is....I think by putting the value 4 for X we get 5/11
What is the compound inequality?
Answer:
there are only two options?
Step-by-step explanation:
id say b is the answer
Answer:
B
Step-by-step explanation:
Three sisters earned $6.39 at their lemonade stand. They want to share their earnings equally. What amount will each sister receive? Write an equation that shows the solution.
Answer:
$6.39/3=x
x=2.13
Each sister will earn 2 dollars and 13 cents.
Step-by-step explanation:
What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced form.
Answer:
The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵ [tex]m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}[/tex]
→ Simplify it by dividing up and down by 2
∴ m = [tex]\frac{4}{3}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]\frac{4}{3}[/tex] x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = [tex]\frac{4}{3}[/tex] (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = [tex]\frac{4}{3}[/tex] x + 2
∴ The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Amy regularly works 20 hours per week at Smiths Dry
Cleaners Monday through Friday. She earns $10.10 per
hour and receives double-time pay for working nights. This
week Amy worked her regular 20 daytime hours plus an
additional 8 nightime hours.
What will her total pay be for the week? Round your answer
to the nearest cent.
$
15.50 x 20 = $310
31 x 8 = $248
310 + 248 = $558
Her total pay for the week is $558.
Hope you got a good grade!!! :)
X + 9 = X - 9
One Solution
Infinitely many
solutions
No Solutions
Please help
Answer:
no solution
Step-by-step explanation:
It's no solution because the first step to do is to subtract 9 from both sides which would give you x=x-18 but now your stuck here because if you subtract x from both sides then you wont have an x so this equation has no solution
Answer:
No solution
Step-by-step explanation:
what does x equal to?
Answer:
156
Step-by-step explanation:
180-24-3=156
A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 49 minutes? In 1 hour?
Answer:
32 2/3
Step-by-step explanation:
1 1/2x 2 1/4 =2/3
Then multiply 2/3 times the minutes (49)
You will get 32.6666
Convert that to a fraction or use calculator soup
Therefore the car will travel 32 2/3 miles in 49 minutes
(40 miles in one hour)