Step-by-step explanation:
Let's think about how we can solve for ttt in the following equation:
\qquad 6t = 546t=546, t, equals, 54
We want to get ttt by itself on the left hand side of the equation. So, what can we do to undo multiplying by 6?
We should divide by 6 because the inverse operation of multiplication is division!
Here's how dividing by 6 on each side looks:
\begin{aligned} 6t &= 54 \\\\ \dfrac{6t}{\blueD{6}} &= \dfrac{54}{\blueD{ 6}}~~~~~~~~~~\small\gray{\text{Divide each side by six.}} \\\\ t &= \greenD{9}~~~~~~~~~~\small\gray{\text{Simplify.}} \end{aligned}6t66tt=54=654 Divide each side by six.=9 Simplify.
Let's check our work.
It's always a good idea to check our solution in the original equation to make sure we didn't make any mistakes:
\qquad \begin{aligned} 6t &= 54 \\ 6 \cdot \greenD9 &\stackrel{\large?}{=} 54\\ 54 &= 54 \end{aligned}6t6⋅954=54=?54=54
Yes, t = \greenD{9}t=9t, equals, start color #1fab54, 9, end color #1fab54 is a solution!
Solving a division equation using inverse operations
Now, let's try to solve a slightly different type of equation:
\qquad \dfrac x5 = 75x=7start fraction, x, divided by, 5, end fraction, equals, 7
We want to get xxx by itself on the left hand side of the equation. So, what can we do to cancel out dividing by 5?
We can multiply by 5 because the inverse operation of division is multiplication!
Here's how multiplying by 5 on each side looks:
\begin{aligned} \dfrac x5 &= 7 \\\\ \dfrac x5 \cdot \blueD{5} &= 7 \cdot \blueD{5}~~~~~~~~~~\small\gray{\text{Multiply each side by five.}} \\\\ x &= \greenD{35}~~~~~~~~~~\small\gray{\text{Simplify.}} \end{aligned}5x5x⋅5x=7=7⋅5 Multiply each side by five.=35 Simplify.
Let's check our work.
\qquad \begin{aligned} \dfrac x5 &= 7 \\\\ \dfrac{\greenD{35}}{5} &\stackrel{\large?}{=} 7\\\\ 7 &= 7 \end{aligned}5x5357
Answer:
WHAT THE #### WHAT IS THEIS
Step-by-step explanation:
Three friends went to lunch and ordered the special. They had a coupon of $10 off the bill and they spent $35 in all. Write an equation to represent this situation.
Answer:
35-10/3
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!! HELP !!!!!!!
The volume of a cube is 216 cubic meters. What is the length (in meters) of one edge of the cube?
Answer: 6 meters
Step-by-step explanation: 6 is also what we call a cube root of a number. A cube root is a number you multiply by itself 3 times to get the product.
6 times 6 equals 36. 36 times 6 equals 216.
(6 times 6 times 6 = 216)
The floor of a cargo truck is 22 1/2 square feet. What is the volume of the storage space in cubic feet if the truck is 7 1/5 feet high? Show, label, and explain your work.
Answer:
162 ft^3
Step-by-step explanation:
volume = area of base * height
V = 22 1/2 ft^2 * 7 1/5 ft
Change the mixed numerals into fractions.
V = 45/2 ft^2 * 36/5 ft
Multiply the fractions.
V = 45/2 * 36/5 ft^3
Switch the denominators.
V = 45/5 * 36/2 ft^3
Simplify each fraction.
V = 9 * 18 ft^3
V = 162 ft^3
The diameter of a circle is 34.8 inches. What is the distance from the center of the circle to the edge of the circle?
Answer: The distance from the center of the circle to the edge is
inches,
Answer:
the distance is the radius, so all we have to do is divide 34.8 by 2= 17.4
17.4 inches!
Step-by-step explanation:
What is the approximate area of the shaded sector?
A. 38 cm2
B. 96 cm2
C. 302 cm
D. 603 cm?
Answer:
C. [tex] 302 \: {cm}^{2} [/tex]
Step-by-step explanation:
[tex]Area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 }{360 } \times 3.14 \times {(16)}^{2} \\ \\ = \frac{108,518.4 }{360 } \\ \\ = 301.44 \\ \\Area \: of \: sector \approx \: 302 \: {cm}^{2} [/tex]
Solve for x if -10x + 67 = 17
A) x=4
B) x= -50
C) x=5
D) x=10
Answer:
x=5
Step-by-step explanation:
First off, you need to subtract 67 from 17 to get the variable alone.
That will leave you with -10x=-50
Then you need to divide -10 and -50,
Two negatives make a positive so
x=5
Answer is C
Use four unit multipliers to convert 170 square yards to square inches The perimeter of a square is 64 inches
The bill for dinner totaled $56 before tax and tip. The restaurant added a 6 percent sales tax. If Sandra wants to include a 16 percent tip calculated on the bill before sales tax is added, what is the total cost of the dinner?
$59.36
$64.96
$68.32
$68.86
Alex rents a car for one day the charge is $28 plus $0.50 per mile Alex wants to spend exactly $30 how many miles can he drive
Answer:
4 milesStep-by-step explanation:
Let the miles is x:
28 + 0.5x = 300.5x = 30 - 280.5x = 2x = 2/0.5x = 4It seems incorrect but Alex can drive 4 miles
Which equation represents the line that passes through the point (-3, 2) and has a slope of 2?
O y = 2x + 1
O
y = 2x - 4
O y = 2x - 7
y = 2x + 8
Answer:
y = 2x + 8
Step-by-step explanation:
To find the line, use the equation y = mx + b.
Plug in the slope and given point, then solve for b:
y = mx + b
2 = 2(-3) + b
2 = -6 + b
8 = b
Plug in the slope and b into the equation:
y = 2x + 8
So, the equation of the line is y = 2x + 8
Answer:
m
Step-by-step explanation:
The letters in the word JANUARY were put in a bag and drawn randomly. What is the probability of picking an a?
Answer: 2/7
Step-by-step explanation:
There are 7 letters in January, and 2 "a"s in order to find the probability, simply take 2/7. You can either leave it in the fraction form, or use the calculator, showing you have a 0.2857% chance of picking an "a"
2/7
there are 7 letters in jAnuAry and as you can see there are 2 A's so there is a 2/7 chance which is higher of a chance than the rest of the letters which are 1/7 each so it is most likely you would draw A although I can't fully say that because there is a 5/7 chance of drawing the other letters. Another way to say it is there is a 0.28571428571% chance of drawing A but there is a 0.71428571428% chance of drawing any other letter.
Hope this helps :3
Have a good day!
write an equation of the line that passes through the point (0,3) and whose slope is 2
Answer:
y - 2x = 3
Step-by-step explanation:
Use the point-slope formula y - k = m(x - h), with h = 0, k = 3 and m = 2:
y - 3 = 2(x - 0), or
y - 3 = 2x, or
y - 2x = 3
Note that the given point, (0, 3), is the y-intercept of this line, and so we immediately know b in y = mx + b: it is 3.
Someone plz help me giving brainliest
Step-by-step explanation:
you will have 100% * 60 = X * 80 so X = 100% * 60/ 80
Answer:
75
Step-by-step explanation:
The answer is attached. I hope you are able to understand and it helps you. If you have doubt you can ask, I will repost the answer with proper explanation.
Find the area of the rectangle with coordinates:
A(-3,5), B(6, 11), C(10,5) and D(1, -1)
Answer:
78
Step-by-step explanation:
Two opposite numbers are 4 units away from each other. What are the numbers?
Answer: 2 & -2
Step-by-step explanation: it takes 2 units to get to 0 and then 2 more to get to -2
AKS 19 -- Dan is driving with an average speed of s. He is driving a total distance of d. What formula represents the total time of his trip? Question 2 options: t=ds t = d s t=ds t=d-s t=sd
Answer:
[tex]t=\dfrac{d}{s}[/tex]
Step-by-step explanation:
Dan is driving with an average speed of s. He is driving a total distance of d.
The average speed of an object is given by :
Average speed = total distance/total time
Let b the time of his trip
So,
[tex]s=\dfrac{d}{t}\\\\or\\\\t=\dfrac{d}{s}[/tex]
So, the formula for the total time of his trip is [tex]\dfrac{d}{s}[/tex].
Angle PQRPQR and angle TQVTQV are vertical angles. The measures of the two angles have a sum of 100^{\circ}100
∘
. Write and solve an equation to find x,x, the measure of angle TQVTQV.
Enter your equation and your solution in the space provided. Enter only your equation and solution.
Answer:
same question
Step-by-step explanation:
PLZ HELP To multiply (7x+3)(7x−3),
you can use the pattern:
(a+b)(a−b)=a2−b2.
What are the values of a and b?
Enter your answers in the boxes below.
a=
b=
Answers:
a = 7xb = 3==========================================================
Explanation:
Match up (7x+3)(7x-3) with (a+b)(a-b)
We have
(7x+3) pair up with (a+b)(7x-3) pair up with (a-b)We can see that a = 7x and b = 3
Furthermore, we can say,
(a+b)(a-b) = a^2 - b^2
(7x+3)(7x-3) = (7x)^2 - (3)^2
(7x+3)(7x-3) = 49x^2 - 9
The values of a and b are 7x and 3 respectively
(7x+3) (7x−3)
Using the format
Factorisation(a + b)(a − b) = a² − b²
Therefore,
a = 7x
b = 3
Therefore,
From (a + b)(a − b) = a² − b²
(7x+3) (7x−3) = (7x)² - 3²
(7x+3) (7x−3) = 49x² - 9
learn more on factorisation here: https://brainly.com/question/22190900
What is the perimeter of a square whose area is 289 square feet?
A. 17 feet
B. 48 feet
C. 68 feet
D. 73 feet
Answer:72.25
Step-by-step explanation:
work out the circumference of a cirlce with a diameter of 1.8m
Answer:
5.56 m
Step-by-step explanation:
Circumference = 2πr
r is the radius, however the diameter is given. The radius is half the diameter. So the radius is:
1.8 ÷ 2 = 0.9
Circumference = 2 × π × 0.9
= 5.56 m ( in 3 significant figures )
Anyone know how to solve this? Im losing brain cells
Answer and Step-by-step explanation:
The answer is A.
y = x + 2 and y = -2x + 4
This is because:
- The graph going from left to right matches the first equation, in which the graph has a slope of 1 and has a y-intercept at (0, 2).
- The graph going from right to left matches the second equation, in which the graph has a slope of -2 (Since it is going from right to left), and has a y-intercept at (0, 4).
#teamtrees #PAW (Plant And Water)
help me please, brainliested ;)
Answer:
put a dot on -5 on the y axis
Step-by-step explanation:
Answer:
It is a horizontal line across the y-axis, at the value of -five.
Step-by-step explanation:
Like this black line
a number is multiplied by 4 and then 12 is added. the result is 36. what is the number?
Answer:
6
Step-by-step explanation:
4 * x + 12= 36
-12 -12
4x = 24
x= 6
Answer: 6
Step-by-step explanation:
The equation will look like this
n(4)+12=36
n=6
6(4)+12
24+12
36
Solve the equation
x - 10 = 4
Answer:
x - 10 = 4
x - 10 + 10 = 4 + 10
x = 14
Answer:
x= 14
Step-by-step explanation:
x-10=4
x=4+10
x=14
help!! ________________
Answer:
NNNNNNNNNNNOOOOOOOOOOOOOOOOO i won't help you
Step-by-step explanation:
Look at the question below.
What is the value of k? show your work.
5/4(2-k) =2 (3k-1) - 2/3k
Answer:
hey how do u know if they're tracking u?
Step-by-step explanation:
Algebra help!
If you can also explain that would be appreciated!! If not that's totally okay I just really need the help!!
Answer:
We have the value as;
8x/5
Step-by-step explanation:
Here, we want to get the breakdown of the given expression
We have (x^2 - 9) as (x-3)(x + 3)
So we have;
2x/(x + 3) * (x-3)(x+3)/5 * 4/(x-3)
= 2x * 4/5= 8x/5
Jim gives the cashier a $20 bill at the pharmacy.
Write an equation that relates the change c he gets back in dollars to the cost b, in dollars, of his purchases. Which variable represents the independent variable? How much change does he get back if his purchases total $12.83?
Answer:
b= 12.83
c= 7.17
Variable "c" is independent because it does not change. Jim receives $7.17 back.