Answer:
y=13+3x
Step-by-step explanation:
The equation y - 3x = 13 can be solved for y as y = 13 + 3x after adding 3x both sides.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The linear equation is:
y - 3x = 13
It is required to solve for x
The expression can be defined as the combination of constants and variables with mathematical operators.
Make the subject as y:
Add 3x on both sides:
y - 3x + 3x = 13 + 3x
y = 13 + 3x
Thus, the equation y - 3x = 13 can be solved for y as y = 13 + 3x after adding 3x both sides.
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Find the slope of the line that goes through the given points.
(3,1) and (8,9)
It was difficult to explain using words so I attached a picture of the work. I hope this helps!
A swimming pool and deck are built in a rectangle with length 40ft and width 18ft.If the pool itself is 320 square feet,what is the area of the deck itself?
Calculate total area by multiplying the length by the width:
40 ft x 18 ft = 720 square feet total.
Now subtract the area of the pool:
720 - 320 = 400 square feet for the deck.
3t - 18 = 4(-3 - 3/4t)
3t - 18 = 4(-3 - 3/4t)
Use distributed to remove parenthesis right side
3t-18= -12-3t
Add 3t by 3t
3t+3t-18=-12
6t-18=-12
Add 18 to both sides
6t=-12+18
6t= 6
Divide 6 both sides
6t/6=6/6
Solved
T=1
Answer:
its t=1
Step-by-step explanation:
If you have two positive numbers and you multiply(-12*-6) why are you getting a positive answer?
2 3/5 ×5/6 = what does it equel
(5a^2bc^3) × (1/5abc^4)
Your answer would be a3b2c7
david bought 26 box of crayons for 38.48 how much did he pay for each box of crayons?
1.48 because 38.48÷26 is 1.48
all you need to do is divide the numbers. 38.48 divided by 26 is $1.48. To check if this is correct multiply $1.48 by 26 and you will get 38.48.
glad I coud help :)
chris rented a truck for one day. there was a base fee of $16.95, and there was an additional charge of 87 cents for reach mile driven . chris had to pay $229.23 when he returned the truck . for how many miles did he drive the truck
Math is my worst subject lol can I get some help
Choose the best definition for the following phrase: combining like terms A letter that holds the place for some unknown value in mathematics A process where you must look for terms that have identical variable parts and then combine their coefficients A process where if two things are equal, one can be put in the place of the other and nothing will change Terms that have identical variable parts
the answer is terms that have identical variable parts
I say it is the last one. I say that because it has the word Terms in it. I don't know for sure tho....
8+4a+6.2-9a simplify expression
8 + 6.2 + 4a - 9a
(8 + 6.2) + (4 - 9)a
14.2 - 5a is your answer.
Answer:
Well,[tex]8+4a+6.2-9a[/tex] has like terms. The simplified expression would just be these like terms combined.
First, let's combine [tex]8[/tex] and [tex]6.2[/tex]
[tex]8+6.2=14.2[/tex]
[tex]4a-9a+14.2[/tex]
Now, combine the other two monomials.
[tex]4a-9a=-5a[/tex]
[tex]-5a+14.2[/tex] would be your answer.
Remember: Some terms can't be combined. For example, [tex]4a[/tex] and [tex]8[/tex] cannot be added together, due to the [tex]a[/tex] in [tex]4a[/tex]. These are not like terms. But [tex]4a[/tex] and[tex]-9a[/tex] are, and can indeed be combined.
Explain how you know 15 is an odd number
15 is an odd number because you cant divided in half also 15 is the illumanti
What is the value of the 2 in 5,678.321
.020 because it is 2 spots behind the decimal
Solve for s.
0.5s+1=7+4.5s0.5s+1=7+4.5s
Answer:
[tex]s=-1.5[/tex]
Step-by-step explanation:
Given the equation :
[tex]0.5s+1=7+4.5s[/tex]
the first step is to put all the terms with the variable we want to solve for on one side of the equation, in this case I will put all the terms with [tex]s[/tex] on the right side, and all the independent terms on the left side.
[tex]1-7=4.5s-0.5s[/tex]
Solving for [tex]s[/tex] we have the following:
[tex]-6=4s[/tex]
[tex]\frac{-6}{4} =s[/tex]
[tex]-1.5 =s[/tex]
the answer is: [tex]s=-1.5[/tex]
Which equation has the solution x = 1.5?
A) x/2 + 3.5 = 6.5
B ) x/2 − 3.5 = 6.5
C) 2−3.5=6.5
D )2 + 3.5 = 6.5
Answer:
The correct answer is D.
2x + 3.5 = 6.5
x = 1.5
How to say 6.324 in word form
Six and three hundred twenty-four thousandths.
The decimal 6.324 in words can be written as "six and three hundred twenty-four thousandths."
To express the number 6.324 in word form, break it down by its place values.
6 is in the "ones" place, so we say "six."
3 is in the "tenths" place, so we say "three tenths."
2 is in the "hundredths" place, so we say "two hundredths."
4 is in the "thousandths" place, so we say "four thousandths."
Putting it all together, we can say 6.324 as "six and three hundred twenty-four thousandths."
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Explain the differences in the process of adding two rational expressions using the lowest common denominator (LCD) and adding them using a common denominator that is not the LCD. Include an example in your explanation.
When adding two rational expressions using the lowest common denominator (LCD), you need to find the smallest common multiple of the denominators and use it as the common denominator. Then, multiply the numerators of each fraction by the appropriate factor, add the numerators together and simplify if possible.
Explanation:When adding two rational expressions using the lowest common denominator (LCD), you need to find the smallest common multiple of the denominators and use it as the common denominator. Then, multiply the numerators of each fraction by the appropriate factor to make the denominators the same. Finally, add the numerators together and simplify if possible.
For example, if you want to add 1/2 and 3/4, the LCD is 4. Multiply the numerator and denominator of the first fraction by 2 to get 2/4. Then, add the numerators together: 2/4 + 3/4 = 5/4. However, this fraction can be simplified to 1 1/4.
A seal diver dives when it sees a whale. The seal dives for 5 seconds at an average rate of 3.5 meters per second.
a. Write an addition expression to represent how far the seal diver dives in 5 seconds. Find the sum.
(-3.5)+(-3.5)+(-3.5)+(-3.5)+(-3.5) =
b. Write a multiplication expression to represent how far the seal dives in 5 seconds. Find the product.
Final answer:
To find the depth of the ocean using the travel time of a signal and the speed of sound in seawater (1450 m/s), multiply the travel time (here, 2.5 seconds) by the speed of sound and then divide by two, as the signal travels the distance twice. In this case, the depth would be 1812.5 meters.
Explanation:
To calculate how deep the ocean is at a given point where a ship sends out a signal and receives it back after a certain time, you need to use the speed of sound in water and the time it takes for the signal to travel to the ocean bottom and back. Since the signal travels the distance twice, the depth can be found by dividing the total distance traveled by two.
Let's consider the example where the signal returns after 2.5 seconds. With the speed of sound in sea water being 1450 m/s, the total distance covered by the sound wave is the product of the speed of sound and the time taken which is 1450 m/s * 2.5 s. However, since this distance is the round trip, to find the depth of the ocean at that point, we need to divide the result by 2.
The calculation will look like this:
Speed of sound in seawater = 1450 m/sTime for signal to return = 2.5 secondsTotal distance traveled by the sound wave = 1450 m/s * 2.5 s = 3625 metersDepth of the ocean = Total distance traveled / 2 = 3625 meters / 2 = 1812.5 metersMckenzie bought 1.2 pounds of coffee for 11.82 what was cost of per pound
first you divide 1.2 by its self because you need to get 1 pound. 1.2 / 1.2 = 1
now that you have one pound, you divide 11.82 by 1.2 = 9.85
A $1200 television is on sale for 30% off. If sales tax is 5.75%,what will be the total price of the television?
The total price of the television is $888.3
The geometric mean of two numbers a and b is ab. Find the geometric mean of 32 and 50
Answer:
1600
Step-by-step explanation:
a*b=
32*50=
1600
Answer:
Geometric mean: 40
Which mixed number is equivalent to the improper fraction 379 ?
4 1/9 i dont quiet remember but im pretty sure this is correct
I took this quiz and the answer is 4 1/9 i know its late but I hope it helps still... I guess...
Zachary's soccer camp started at 11:35 A.M. They spent 55 minutes practicing defense and 2 hours and 25 minutes shooting. What time did the camp end?
camp ended at 2:55pm
2:55 PM
Because 11:35 AM+55= 12:30 PM. Then 12:30 PM+2:25= 2:55 PM as a final answer
4 x 4 x 4 cardboard box is going to be filled with colored one by one by one blocks one red block is placed into the corner of the box next the least number of orange blocks are used to completely hide the red block from view then the least number of yellow blocks are used to hide the orange blocks from view at this point how many blocks have been placed into the box
16x 4 = 64 so thats the volume
Daniel is paid $10 per week for selling newspaper subscriptions. He is also paid $3.50 for each new customer (x) that signs up for the subscription. Which equation represents the amount (y) Daniel earns per week?
Three friends each bought two slices of pizza and a drink at the mall. if drinks cost $0.75 and the total of their order was $11.25,how much did one pizza cost?
Please help and show work!!! Find the line perpendicular to y=-1/4x+7 and goes through the point (1,1).
If a+b=-2 And x+y= -2 what is 4x+5a+4y+5b?
a + b = -2
x + y = -2
4x + 5a + 4y + 5b = 4x + 4y + 5a + 5b = 4(x + y) + 5(a + b)
substitute
4(-2) + 5(-2) = -8 - 10 = -18
3. There are about 1.61 kilometers in 1 miles. Let x represent a distance measured in kilometers and y represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distances measured in miles.
We have been given that there are about 1.61 kilometers in 1 miles.
Let x represent a distance measured in kilometers and y represent the same distance measured in miles.
We can set two equations from the given information as:
[tex]x=\frac{1}{1.16}*y[/tex] (Number of kilometers in terms of number of miles)
[tex]y=1.61*x[/tex] (Number of miles in terms of number of kilometers)
Therefore, [tex]x=\frac{1}{1.16} y[/tex] and [tex]y=1.61*x[/tex] will be our equations.
To relate a distance measured in kilometers and miles, two equations can be written: y = 1.61x and x = 0.62y.
Explanation:To write equations that relate a distance measured in kilometers and the same distance measured in miles, we can use the conversion factor between kilometers and miles. Based on the given information, 1 mile is equivalent to 1.61 kilometers. So, the first equation would be: y = 1.61x, where x represents the distance in kilometers and y represents the distance in miles. To find the equation in the opposite direction, we can use the inverse of the conversion factor, which is 1 divided by 1.61. So, the second equation would be: x = 0.62y.
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The doubling time of a city’s population is 22 years. How long does it take for the population to quadruple?
A) 4 Years
B) 44 Years
C) 22^4
D) 2^22
Explain the answer.
The time it takes for a city's population to quadruple, given a doubling time of 22 years, is 44 years since quadrupling requires two doublings of the population.
The question asks about the time it will take for a city’s population to quadruple given that its doubling time is 22 years. To find the time it takes for the population to quadruple, we need to understand that quadrupling the population means doubling it twice. Since the doubling time is 22 years, we simply need to multiply this time by 2 to get the time for the population to quadruple.
Therefore, the correct answer is 44 years (B). This is because:
First doubling: 22 years
Second doubling (to quadruple): 22 + 22 = 44 years