The student can check the accuracy of their answer by substitifying their solution back into the equation. If both sides of the equation are equal after the substitution, then the solution is correct and 4 * 3 + 6 does in fact equal 18 in this case.
Explanation:The subject of your question is to solve a simple equation and you want to check your answer. The equation you're talking about can be expressed as 4x + 6 = 18, where x is the number you're trying to find. You said you believe x = 3, and we can check that by substituting 3 for x in the equation and seeing if both sides match.
On the left side of the equation, 4x + 6 would become 4 * 3 + 6, which equals 12 + 6 = 18. The right side of the equation is also 18, so your answer of x = 3 is correct!
Substituting your answer back into the equation is a solid strategy to check your answers in mathematics.
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A yard is equal in length to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in feet (as output). What number will the function return if the input is 15.4?
Answer:
This may be perfectly expressed in a Rule of Three as:
If 1 yard is equal to 3 feet
15.4 yards are equal to x feet
1 yard-----3feet
15.4 yards------x
Then:
[tex]x=\frac{(15.4 yards)(3 feet)}{1 yard}[/tex]
[tex]x=46.2 feet[/tex]
Therefore the answer is 46.2 feet
A) Graph the following two lines on the same rectangular coordinate system. Show all your working. You need to use the slope-intercept method.
Graph A: 3x+2y=12 Graph B: 4x-y=5
B) Mark the point intersection of the two graphs M, and give coordinates.
C) What is the difference in units between the Y-coordinates of Graph A and Y-coordinates of Graph B?
E) Draw the graph x-=6 on the same set of axes. At which point does this line cut Graph A?
What is the rule for this sequence 6, 18, 54, 162, 486
Help again please. Someone
What's the difference of 9(2k-4) and -2(7k-12)
How would I solve this equation for x? x/p + x/q = S
What's 3.555 rounded to the nearest tenth
Write and solve a proportion to answer the question. What number a is 70% of 70
The number that is 70 percent of the number 70 will be 49.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Let the number be 'x'. Then the equation is given as,
x = 70% of the 70
Simplify the equation, then the value of the number is calculated as,
x = 70% of the 70
x = 0.70 × 70
x = 49
The number is 49.
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What is 90% of 4732000?
90% = 0.90
4732000 x 0.90 = 4,258,800
What three factors were used to create this product game board
Can someone please help me
Can someone please help me answer these questions in scientific notation?)
1. (5.2 x 10⁻³) - (2.58 x 10⁻³)
2 (3.6 x 10⁻²) + (4.0 x 10⁻¹)
3. (8.32 x 10⁻³) - (5.9 x 10⁻⁴)
4. (6.03 x 10⁻²) - (3.8 x 10⁻³)
Divide.
(-13r2+104r)÷(r–8)
If the amount of flour were increased by a factor of 2 1/2, in cups, how much flour would there be?
2/3 is the originonal fraction for w suger
1. 2 1/2
2. 2 1/4
3. 5 5/8
4. 5 1/4
Help me please.Questions are below.I know there's a lot of questions but I need help.
I'll give 35 points.
1.Write an algebraic expression for each word expression:
6 more than a number p
2.Solve: a/8 = 13 a = _____
3.Solve: 96 = 12b b = _____
4. Solve: c/9 = 2.3 c = _____
5. Solve: 5.2 = d/6 d = _____
6.Solve: 0.74h = 0.74 h = _____
7. Solve: k/0.38 = 1 k = _____
8.Solve: 27.4n = 0 n = _____
9. Solve: 0.4w = 3.12 w = _____
10. Solve: a/4.2 = 0 a = _____
1. p+6
2.a =13*8 = 104
3.b = 96/12 = 8
4.c= 2.3*9 = 20.7
5.d = 5.2*6 =31.2
6. h = 0.74/0.74 = 1
7. k = 0.38*1 = 0.38
8. n = 0
9. w = 3.12/4 = 7.8
10. a = 0
can someone help me i need help
Answer the three questions please
Question (1)
When the divisor is a decimal, what must we do?
1) Multiply the divisor by 10, or 100, or 1000, etc., according to the number of decimal digits, so that it becomes a whole number.
2)Multiply the dividend by the same power of 10.
Question (2)
When asked to add or subtract decimals, the most important step is to line up the decimal points. Step 1: Line up the decimal points so that similar place values are lined up. In other words, the tens place in both numbers should be lined up, the ones place in both numbers should be lined up, etc.
Question (3)
To multiply decimals: Set up and multiply the numbers as you do with whole numbers. Count the total number of decimal places in both of the factors. Place the decimal point in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.
lizette has 813 stamps she has 125 more stamps than Minerva how many stamps does Minerva have
(7-2•2+7)•2•2 plz show work
Lena was playing a card game. She placed the cards in 2 rows of of 26 cards each. In which other way can Lena place all of the cards?
1- 15 rows of 4 cards each
2-13 rows of 4 cards each
3- 18 rows of 3 cards each
4- 16 rows of 3 cards each
Thank you
Another way in which the cards Can be placed is 13 rows of 4 cards each.
The total Number of playing cards in a deck = 52
In other to place equal number of cards in a number of rows;
The product of the Number of cards per row and the number of rows must be equal to 52.Evaluating the options given :
15 × 4 = 60 (False)
13 × 4 = 52 (True)
18 × 3 = 54 (False)
16 × 3 = 48 (False)
Hence, the other way in which the cards Can be placed is 13 rows of 4 cards each.
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Kendall knows that a 45-ounce pitcher can hold enough lemonade for 6 people. At this rate, how many ounces of lemonade will Kendall need to serve 26 people?
Find the Perimeter of the polygon with the vertices X(-1,3), Y(3,0), and Z(-1,-2). Round the answer to the nearest hundredth
The perimeter of the polygon with vertices X(-1,3), Y(3,0), and Z(-1,-2) is approximately 14.47 units when rounded to the nearest hundredth.
To find the perimeter of the polygon with vertices X(-1,3), Y(3,0), and Z(-1,-2), you first need to calculate the length of each side of the triangle formed by these points. You can do this by using the distance formula:
[tex]d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
For side XY:
d(XY) = [tex]\sqrt(3 - (-1))^2 + (0 - 3)^2}[/tex]
[tex]\sqrt{{16 + 9}[/tex]
[tex]\sqrt{{25}[/tex]
= 5
For side YZ:
[tex]d(YZ) = \sqrt{((-1) - 3)^2 + (-2 - 0)^2}[/tex]
[tex]\sqrt{{16 + 4}[/tex]
[tex]\sqrt{{20}[/tex]
= 4.47
For side ZX:
[tex]d(ZX) = \sqrt((-1) - (-1))^2 + (3 - (-2))^2}[/tex]
[tex]= \sqrt{0 + 25}[/tex]
= 5
Now, sum the lengths of the sides to get the perimeter:
Perimeter
= d(XY) + d(YZ) + d(ZX)
= 5 + 4.47 + 5
= 14.47
So, the perimeter of the polygon is approximately 14.47 units, rounded to the nearest hundredth.
David and his two friends
What is 1.47 x 10 minus 3.56 x 10
The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 7 unit and width fraction 1 over 2 unit?
Answer:
perimeter of rectangle is 9/7 units.
Step-by-step explanation:
The perimeter of a rectangle is given by
Perimeter = 2(length + width)
Given that
[tex]length=\frac{1}{7}\\\\width=\frac{1}{2}[/tex]
Substituting these values in the above formula
[tex]P=2(\frac{1}{7}+\frac{1}{2})[/tex]
Add the fractions. The LCD is 14. So, multiply and divide by 14
[tex]P=\frac{2}{14}(\frac{1}{7}\times14+\frac{1}{2}\times14)\\\\P=\frac{1}{7}(2+7)\\\\P=\frac{9}{7}[/tex]
Thus, perimeter of rectangle is 9/7 units.
One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours. If both pumps are opened at the same time, how many hours will it take to fill the pool?
Answer: It will take [tex]\dfrac{40}{9}=4\dfrac{4}{9}[/tex] hours to fill the pool.
Step-by-step explanation:
Since we have given that
Number of hours first pump takes = 8 hours
Number of hours second pump takes = 10 hours
If both pumps are opened at the same time,
Work done by first pump = [tex]\dfrac{1}{8}[/tex]
Work done by second pump = [tex]\dfrac{1}{10}[/tex]
According to question,we get that
[tex]\dfrac{1}{8}+\dfrac{1}{10}\\\\=\dfrac{5+4}{40}\\\\=\dfrac{9}{40}[/tex]
So, it will take [tex]\dfrac{40}{9}=4\dfrac{4}{9}[/tex] hours to fill the pool.
The height of an airplane during a landing is given by 22,000+(−480t) where t is the time in minutes.
a. Complete the table.
Time (minutes) 5 10 15 20
------------------------------------------------------
Height (feet)
Please help!
what percent of 50 is 18
The assembly of a machine takes 3/4 hour there are 12 steps in the assembly process what is the average time for each step
The average time for each step in the assembly process is 3.75 minutes per step.
Explanation:To find the average time for each step in the assembly process, we need to divide the total time taken by the number of steps. In this case, the assembly takes 3/4 hour, which is equivalent to 45 minutes. There are 12 steps in the process. So, to find the average time per step, we divide 45 minutes by 12:
Average time per step = 45 minutes / 12 = 3.75 minutes per step.
Two integers, a and b, have a product of 24. What is the least possible sum of a and b?
The least possible sum of a and b is