steps for solving 3x+18=54 are shown explain how step 1 helps solve the equation.
Answer:
Option C is correct
Subtracting 18 from both sides isolates the variable term
Step-by-step explanation:
Given an equation:
[tex]3x+18 = 54[/tex]
Subtract 18 from both sides we get;
Step 1.
[tex]3x+18-18 = 54-18[/tex]
Simplify:
Step 2.
[tex]3x = 36[/tex]
Divide both sides by 3 we have;
Step 3.
[tex]\frac{3x}{3}=\frac{36}{3}[/tex]
Simplify:
Step 4.
x = 12
Therefore, Subtracting 18 from both sides isolates the variable term in step 1 helps to solve the equation.
Write an algebraic expression that illustrates the multiplicative identity.
A group of fans at a football game are sitting in 7 rows with 28 in each row. In the center, a section of 14 fans in 3 rows and a section of 11 fans in 3 rows have cards spelling out the team name. How many fans do not have a card?
Out of 196 fans, 75 fans have cards. Therefore, 121 fans do not have a card.
Explanation:The question is asking how many fans do not have a card at a football game. Initially, there are 7 rows of fans with 28 fans in each row, which gives us 196 fans in total (7 * 28). In the center, there are two sections where fans have cards. The first section has 14 fans in 3 rows, which equates to 42 fans (14 * 3), and the second section consists of 11 fans in 3 rows, which makes 33 fans (11 * 3). So, the total number of fans with cards is 75 (42 + 33). To find out how many fans do not have a card, we subtract the number of fans with cards from the total number of fans. Therefore, the answer is 196 - 75 = 121 fans.
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find the value of the underlined 9 10,698
A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the funnel at any given time is 16.59375 cubic centimeters. Given this information, what is the volume of the partial cone that makes up the top part of the funnel?
Answer:
15.75 pi cm^3
Step-by-step explanation:
I got this question on a test and this was the right answer
what is the slope of the line that connects the points (1,3)and (2,2)
10. Rosa received a monthly raise of $162.50. If this represented a 6.5% increase, what is her monthly salary after the raise?
Answer:
$137.5
Step-by-step explanation:
First, you need to divide $162.50 by 6.5
If you divide correctly you should get 25
Since that month she got an increase, which means you have to subtract 25 from $162.50.
Answer: $137.5
How do you write 4/5 as a percent
Brad has a stack of 7 books on his desk. Each book is 1 and 7/8 inches thick.How tall is the stack?
Answer:
uuuuuuu
Step-by-step explanation:
2 1/9 of what number is 76?
The value of the unknown number is 36. 2 1/9 of 36 is 76.
The is the value of the missing number?Given the parameter:
2 1/9 of what number is 76?
To solve for the unknown value, first, convert the mixed fraction to an improper fraction:
2 1/9 = ( 9×2 + 1 )/9 = 19/9
Now, we set up the equation:
Let 'x' represent the unknown number:
19/9 of x is 76
19/9 × x = 76
Solve for x:
19x/9 = 76
19x = 9 × 76
19x = 684
x = 684/19
x = 36
Therefore, the value of x is 36.
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What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
13.4 units
17.9 units
26.8 units
40.0 units
What is 17.565x10 to the power of 2
What property did Ramon use? 150+214+89=214+89+150
Ramon used the Commutative Property of Addition in the equation 150+214+89=214+89+150. This property indicates that the order in which numbers are added doesn't affect the result.
Explanation:In the given equation, 150+214+89=214+89+150, Ramon is using an important property of addition known as the Commutative Property. The Commutative Property of Addition states that the order in which numbers are added does not change the sum. For example, if we have two numbers, 5 and 3, adding them in any order (5+3 or 3+5) will always give us the same result, which is 8. Hence, in this question, whether you add 150, 214 and 89 in the given order or reverse, the sum remains the same. Therefore, you can see how Ramon made use of the Commutative Property to rearrange the numbers while still keeping the total sum the same.
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The volume of 1000 drops of a liquid is 0.1 fluid ounce.
What is the volume of 10,000 drops?
Final answer:
To find the volume of 10,000 drops, if 1000 drops equal 0.1 fluid ounce, we multiply the volume by 10 to get 1.0 fluid ounce.
Explanation:
The volume of 10,000 drops of a liquid, when 1000 drops is equivalent to 0.1 fluid ounce, can be calculated using a simple ratio. If 1000 drops equal 0.1 fluid ounce, then we can multiply both the number of drops and the volume by 10 to find the volume of 10,000 drops:
1000 drops = 0.1 fluid ounce
10,000 drops = 1.0 fluid ounce (since 0.1 fluid ounce x 10 = 1.0 fluid ounce)
Therefore, the volume of 10,000 drops is 1.0 fluid ounce.
(CESGRANRIO) Determine o parâmetro m na equação x²+mx+m²-m-12=0, de modo que ela tenha uma raíz nula e outra positiva.
What is another way to refer to ∠EFG ?
A.∠E
B.∠G
C.∠GFE
D.∠FGE
The answer is C: ∠GFE
Solve the equation. 3|3k| = 27
A.) {-9, 9}
B.) {-3, 3)
C.) {-3, 9}
D.) -3 < k < 3
By applying basic property of modulus function we got value of k as 3 and -3
What is modulus function ?
Modulus function gives magnitude of a number . It's represented by |x|
Given equation
[tex]3|3k|=27\\[/tex]
we can simplify this equation as
[tex]|3k|= \frac{27}{3}\\\\|3k|=9[/tex]
As 3 is a positive number we can take it out from modulus as it is
[tex]3|k|=9\\\\|k| = \frac{9}{3}\\\\|k|=3[/tex]
As we know modulus function gives magnitude of a number so can k can be 3 and -3
By applying basic property of modulus function we got value of k as 3 and -3
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answer a,b, and c please
Name the property for 6+7+7+6=
associative property communitive property
zero property
The equation 6+7+7+6 demonstrates the Commutative Property of addition, which states that the order of addition does not affect the sum.
Explanation:The property shown by the equation 6+7+7+6 is the Commutative Property of addition. This property states that the order in which two numbers are added does not affect the sum. In other words, A+B = B+ A. Specifically here, the numbers 6 and 7 are added together in an order that can be rearranged without changing the result, indicating the commutative nature of their addition. To visualize:
(6+7) + (7+6)(7+6) + (6+7)Both expressions yield the same sum, showing the commutative property.
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By graphing the system of constraints, find the values of x and y that maximize the objective function.
x+y≤8
2x+y≤10
x≥0
y≥0
Can someone explain to me how to solve this/these types of problems? Don't just answer it, explain.
A hinged lid opens 89 degrees. What type of angle is formed by the open lid?
An expression is Show : 6x(4+2x4)+10 what is the value of the expression
Question for you people.
What is 13 + c = -9(btw it's a negative 9)
I believe that c would equal -22
Hope this helps!
solve the equation for y.
xy-7y=49
The solution of the given equation xy-7y=49 for y is y = 49/(x-7) for all values of x not equal to 7.
To solve the equation xy-7y=49 for y, first we can factor out y from the left side of the equation which gives us y(x-7)=49.
Then we can isolate y by dividing both sides of the equation by (x-7).
This gives us y = 49/(x-7).
This solution assumes that x is not equal to 7 because division by zero is undefined.
Hence, the solution is y = 49/(x-7) for x ≠ 7.
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Olivia ate four times as much salad as Reagan. If Reagan ate r salad, which equation can be used to find the amount of salad Olivia ate, v?
A. 4r = v
B. r + 4 =
C.v + 4 = r
D. 4v = r
Answer:
A. 4r = v
Step-by-step explanation:
the amount of salad Reagan ate is r.
If Olivia ate 4 times as much salad as Reagan, then she ate r amount multiplied by 4:
4r
Thus, the equation than can be used to describe the amount of salad for Olivia is:
4r = v
This is because this equation tells us that 4 times the amount of salad Reagan ate (4r) is equal to what Olivia ate (v)
Solve the following quadratic trig equations algebraically (without graphing technology) for the domain 0 ≤ x ≤ 360°. Use exact solutions whenever possible. 6cos2(θ) + cos(θ) - 1 = 0 2 - 2sin2(θ) = cos(θ)Solve the following quadratic trig equations algebraically (without graphing technology) for the domain 0 ≤ x ≤ 360°. Use exact solutions whenever possible. A. 6cos2(θ) + cos(θ) - 1 = 0 B. 2 - 2sin2(θ) = cos(θ)
Celia hiked at a constant rate of 15 miles per day for 6 days. How many miles did Celia hike during that time?
A. 200 mi.
B. 170 mi.
C. 100 mi.
D. 90 mi.
A set designer builds a model of a stage and the different pieces of furniture on it. He uses a scale of 5 cm to 1m. The length of a table is 1.4m. What is the length of the model?
To solve this problem, we simply have to use ratio and proportion. We know that for every 5 cm, we have 1 m therefore the factor to use is:
5 cm / 1 m
SO for a table length of 1.4 m, the model length should be:
model = (5 cm / 1 m) * 1.4 m
model = 7 cm
Answer:
7 cm
The price of a pair of jeans was $31, but due to an increase the price went up to 129% of what it was originally. Which is the best estimate of the current price of the pair of jeans?
Answer:
the best estimate of the current price is $39.99
Step-by-step explanation:
Hello, I think I can help you with this,
You can solve this by using a rule of three
Step one
if
$31 ⇔100%
x? ⇔129%
the relation is
[tex]\frac{31}{100}=\frac{x}{129}}\\now, solve\ for\ x\\x=\frac{129*31}{100} \\x=\frac{3999}{100}\\ x=39.99\\[/tex]
the current price is $39.99
I hope it helps, have a fantastic day-
3,050Divided by 10 to the second power. Answer
To divide 3,050 by 10 to the second power, simply move the decimal point two places to the left, resulting in the answer 30.50.
Explanation:When dividing by powers of 10, you simply need to move the decimal point to the left by the number of zeros in the exponent. In this case, the exponent is 2, so you would move the decimal point two places to the left.
Therefore, 3,050 divided by 10 to the second power is equal to 30.50.
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