The sum of two times a number and 7 is five times the difference of a number and six. Solve for the variable then Round your answer to the nearest hundredths.
Answers
Answer:
12.33
Step-by-step explanation:
let 'n' = a number
2n + 7 = 5(n - 6)
2n + 7 = 5n - 30
-3n = -37
n = 37/3 or 12.33
The variable is 12 for the given expression.
What is variable?The quantity that may change within the context of mathematical problem or experiment is called variable.
We have,
Sum of two times a number and 7 = five times the difference of a number and 6
Let us assume the variable as 'n'
According to the question, we have
\(2n+7=5(n-6)\)
⇒\(2n+7=5n-30\)
⇒\(-5n+2n=-30-7\)
⇒\(-3n=-37\)
⇒\(n=\frac{-37}{-3}\)
⇒\(n=\frac{37}{3}\)
⇒\(n=12.333\)
⇒\(n=12\) (round off to nearest hundred)
∴ Variable(Number) = 12
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Related Questions
The variable x and y vary directly, and y = 40 when x = 5. Which equation relates the variables?
A.) y = 1/8 x
B.) y = 4x
C.) y= 40x
D.) y = 8x
E.) none of these
Answers
Answer:
D
Step-by-step explanation:
x times 8 is equal to 40 which is y.
Answer:
D.
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
sorry if im wrong
Simplify the algebraic expression: 4y + 6x + 5x - 2y
Answers
Answer:
11x+2y
Step-by-step explanation:
Mrs. Banks made cookies. 2/3 FRACTION BTW
of them are chocolate chip cookies and 1/5 ALSO FRACTION BTW
of them are sugar cookies. The rest are oatmeal.
What fraction of the cookies are chocolate chip or sugar?
Answers
Answer:
13/15
Step-by-step explanation:
We Know
2/3 of them are chocolate chip cookies.
1/5 of them are sugar cookies.
What fraction of the cookies are chocolate chip or sugar?
2/3 + 1/5 = 10/15 + 3/15 = 13/15
So, 13/15 of the cookies are chocolate chip or sugar.
pls help!!! I will make you brainiest!!!!! what is the rate of change
Answers
Answer:
$2.69
Step-by-step explanation:
We can divide the cost in dollars to the gallons of gasoline to find the rate of change.
16.14 / 6 = $2.69
21.52 / 8 = $2.69
24.21 / 9 = $2.69
32.28 / 12 = $2.69
53.80 / 20 = $2.69
This means that each gallon costs $2.69, in other words this is the rate o change.
Best of Luck!
Write the algebraic expression:
99 times the sum of y and 9
Answers
This is the answer.
Answer: 99(y+9)
Write the equation and show work please
Answers
Answer:
y=-3x-5
Step-by-step explanation:
(-1, -2) (0, -5)
use slope formula
ΔY = (-5 – -2) = -3
ΔX = (0 – -1) = 1
m = -3
y=mx+b
-5 = -3(0)+b
b = -5
y=-3x-5
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
Answers
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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You spin each spinner and find the sum. How many different sums are possible?
these are the spinners:
Answers
The different sums are possible are 18.
As, the number of different sums possible is given by the equation:
Number of different sums = n x m
In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.
So, the different sums are possible
= 2 x 3 x 3
= 18
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Find the length of side x in simplest radical form with a rational denominator.
Answers
Step-by-step explanation:
\( {x}^{2} = {3}^{2} + {3}^{2} \\ {x}^{2} = 18 \\ x = 3 \sqrt{2} \)
Simplify (a÷b)³×(b÷c)×(c÷a)³ when a=3,b=a²,c=a³
Answers
Answer:
To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.
Substituting the values of a, b, and c:
a = 3
b = a² = 3² = 9
c = a³ = 3³ = 27
Now let's simplify the expression:
(a÷b)³×(b÷c)×(c÷a)³
(3÷9)³×(9÷27)×(27÷3)³
Simplifying each term:
(3÷9) = 1/3
(9÷27) = 1/3
(27÷3) = 9
Now we can substitute the simplified values back into the expression:
(1/3)³×(1/3)×9
Simplifying further:
(1/27)×(1/3)×9
1/9
Therefore, the simplified expression is 1/9.
solve equation by factoring
X^+2x+1=0
Answers
Answer:
x=-1
Step-by-step explanation:
Step 1: Factor left side of equation.
(x+1)(x+1)=0
Step 2: Set factors equal to 0.
x+1=0 or x+1=0
x=−1
HELLLP I WILL MARK YOU BRILLLLL
Answers
Answer:
5.6x=30
We move all terms to the left:
Step-by-step explanation:
5.6x-(30)=0
We move all terms containing x to the left, all other terms to the right
5.6x=30
x=30/5.6
x=5+2/5.6
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
let f: if a then b and g: if b then c. prove that is the composition of g and f if a then c is injective so is f
Answers
Injective function is a type of function which relates an element of a given set with a distinct element of another set. An injective function is also referred to as a one-one function.
Let's start by listing supposition and their respective reasons.
Suppose,
g О f is injective then f : A → B is also injective.
As we are dealing with injective functions, we can rightly proceed.
The functions f(x) = f(y) when x,y ∈ A
g(f(x)) = g(f(y))
Given the fact that g О f ,then x = y
Thus, we can say that since g О f , f : A is an injective function too (one to one function)
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Carlos had 7¾ cups of cheese. After making 5 pizzas, he now only has 2 cups of cheese. How much cheese did Carlos use?
Answers
Answer:
5 3/4 cups of cheese used for the pizza
Step-by-step explanation:
7 3/4 = 31/4 cups cheese to start
Two cups of cheese remaining. 2 = 8/4 cups
31/4 cups - 8/4 cups = 23/4 cups used for the pizza.
23/4 = 5 3/4 cups of cheese used for the pizza
drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.
Answers
the cubed root of 729 is 9
the square root of 100 is 10
the cubed root of 216 is 6
the square root of 64 is 8
and the cubed root of 343 is 7
This should be right
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Answers
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
what is 4y when x -3
Answers
Answer:
4y-x-3 = 0
Step-by-step explanation:
Slope = 0.500/2.000 = 0.250
x-intercept = 3/-1 = -3.00000
y-intercept = 3/4 = 0.75000
you have 51 coins in your pocket, all dimes and quarters. You have $10.20. How many dimes and quarters do you have?
Answers
To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.
To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.
We know that there are 51 coins in total, so we can write the equation: d + q = 51.
We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
Rearrange the first equation to solve for d: d = 51 - q.
Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.
Simplify and solve for q: 510 - 10q + 25q = 1020.
Combine like terms: 15q = 510.
Divide both sides by 15: q = 34.
Now substitute this value back into the first equation to solve for d: d + 34 = 51.
Subtract 34 from both sides: d = 17.
Therefore, you have 17 dimes and 34 quarters.
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A teacher prepares 12 assignments for her 2 students.
How many different ways can the assignments be assigned if and only if one assignment assigned to each student?
Answers
The ways the assignments can be assigned to the students with the condition is 66 ways
How to determine the ways the assignments can be assigned to the students?From the question, we have the following parameters that can be used in our computation:
Total number of questions, n = 12
Total numbers of students, r = 2
The number of ways the assignments can be assigned to the students is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 12 and r = 2
Substitute the known values in the above equation
Total = ¹²C₂
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 12!/10! * 2!
Evaluate
Total = 66
Hence, the number of ways is 66
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WILL MARK BRAINLIEST
Use the function below to find F(3)
F(x)=(1/5)^x
Answers
The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.
What is a function?A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.
A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.
F(x)=(1/5)ˣ
F(3)=(1/5)³
F(3)=1/125
Hence, the value of the function F(3) will be 1/125.
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Help? Can someone explain this please
Slope is 1 and (-2, -1) is on the line.
Answers
Answer:
You can’t find the slope of a line if only given one point. If you had a visual representation of the line such as a graph or a table you could find a second point and then use the formula for slope, y = (y2-y1) / (x2-x1).
Imagine a single point on the xy graph. You could take a random point elsewhere from an infinite number of points and would be able to draw a line and find the slope. This means there could be an infinite number of different slopes for one point. One point on an unknown line is not enough information to determine the slope of its line without a graph or a table.
can u guys help me with this
Answers
Answer:
1. 50
2. 18
Step-by-step explanation:
Answer:
1st paper
18
2nd paper
50
This is due today please help im stuck on this question
Answers
-320 is the answer to your mathematical problem
 Mr. Rodriguez’s holiday greeting cards in his gift shop before the holiday he sells the cards at a 150% markup on the price he paid to his supplier after the holiday to discuss the car 30% what is the Post holiday price of two cars he originally bought for me supply of supplier for $1.50 and $2.00, respectively
Answers
J)
B
с
173"
87"
A
Find the measure of ZC.
-) :
A:
A)
10°
B)
14°
20°
D)
30°
Answers
Answer:
I think it's C im not certain
prove that :- (sin^2A- sec^2A+ cos^2A) ÷ (cos^2A+ sin^2A- cosec^2A) = tan^4A
Answers
Answer:
Hope this may helps you
When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?
Answers
When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.
To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.
An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.
The given expression is:
jkh + hj - jk
Substituting the given values of h, j, and k, we get:
jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))
Now simplify the expression
jkh + hj - jk = (-20) + 20 + 5
jkh + hj - jk = 5
Therefore, the value of jkh + hj - jk equals 5.
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How long is 10% of a 2,000 kilometer trip
Answers
Answer:
200 kilometers
Step-by-step explanation:
10% is the same thing as 1/10 and 2000x1/10 is 200