The answer to the given expression is 2
How to solve variables?To "solve" or "isolate" a variable is to place it on its own side of the equation.
All other variables or constants should be moved to the opposite side of the equation using inverse operations. The operations must be applied to both sides of the equation in order to maintain the equation's balance.
Given : x = 5 and y = 7
To find : \(\frac{y^{2} - x }{y + 3x}\)
When we substitute the values mentioned above in this above expression we get;
\(\frac{7^{2}- 5 }{ 7+ 3X5}\)
⇒ \(\frac{49 - 5}{ 7 + 15}\)
⇒ \(\frac{44}{22}\)
On dividing it with 22 we get
\(\frac{44}{22}\) = 2
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Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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Helppp! Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain. *
Mme potatana ask the children to count as a whole class from 1 to 20 Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count. in your view support the method that you find important to enhance the strong number sense. Provide appropriate examples for your chosen method.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
In order to enhance strong number sense in children, there are various methods that can be used.
In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.
Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.
This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.
Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:
1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.
2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.
3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.
Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
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CAN SOMEONE HELP. i will give 150 points if some one can explain and solve you have to find the missing angle measures.
Answer:
\angle ACB=40^{\circ}, \angle ABC=63^{\circ}
Step-by-step explanation:
Finding x:
We know that \(\angle DAB=180^{\circ}\), because it's a straight line. So, \(\angle CAB=180^{\circ}-103^{\circ}=77^{\circ}\).
We know that the sum of the angles of any triangle will be \(180^{\circ}\).
So, we have that \((3x-14)+(3x+9)+77=180\).
Combining like terms on the left gives \(6x+72=180\).
Subtracting \(72\) from both sides gives \(6x=108\).
Dividing both sides by \(6\) gives \(x=18\).
Finding missing angle measures:
\(\angle ACB=3x-14=3(18)-14=54-14=40\).
\(\angle ABC=3x+9=3(18)+9=54+9=63\).
So, \(\angle ACB=40^{\circ}\) and \(\angle ABC=63^{\circ}\) and we're done!
Note: \(\angle ACB+\angle ABC=\angle CAD\). Coincidence? If not, try and prove it!
Calculate the cost to treat one person who has TB if it costs R84 724 707 to treat 53 642 infected people. Give your answer correct to 2 decimal places.
The cost to treat one person who has TB is R1,579.82, rounded to 2 decimal places.
What is total cost?Total cost refers to the sum of all expenses incurred in producing a product or providing a service. It includes both the fixed costs (costs that remain constant regardless of the level of output) and variable costs (costs that vary with the level of output)
According to question:To calculate the cost to treat one person who has TB, we need to divide the total cost of treating all infected people by the number of infected people:
Cost to treat one person = Total cost of treatment / Number of infected people
Plugging in the given values, we get:
Cost to treat one person = R84,724,707 / 53,642
Cost to treat one person = R1,579.82
Therefore, the cost to treat one person who has TB is R1,579.82, rounded to 2 decimal places.
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You are starting your first job as a salesperson at a clothing store. You receive a base salary of $10.00 per hour with time-and-a half for hours in excess of 40 hours per week. You also receive a 3% commission on your total sales.
Calculate your paycheck if you work 40 hours both weeks, plus you sell $3,000 worth of merchandise.
a
800
b
830
c
890
d
970
The paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.
How is the paycheck calculated?The paycheck can be computed by working out the base salary, overtime pay if any, and the sales commission separately and adding up these.
Some deductions (withholding taxes and insurance) are made to the gross pay to arrive at the paycheck, which is known as the net pay.
Data and Calculations:Base salary = $10.00 per hour
Overtime pay = 1.5 of the base salary per hour
Work week = 40 hours
Commission on total sales = 3%
Sales for a month = $3,000
Commission on $3,000 sales = $900 ($3,000 x 3%)
Base salary for two weeks = $800 ($10 x 40 x 2)
Paycheck = $890 ($800 + $900)
Thus, the paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.
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Which is the slope of the line that passes through the points (2,10) and (5,8)?
Answer:
Slope = (Y2 - Y1) / (X2 -X1)
Slope = (8 -10) / (5 -2)
Slope = -2 / 3
Changing Scales in Scale Drawings- (question in picture attachment)
i dont get it
Step-by-step explanation:
what is the cost of making one burrito (remember that cost is negative)
Answer:
$550
Step-by-step explanation:
How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5
So, profit for 100 burritos is $5.5 x 100 = $550.
Nate has a deductible of $1,000 and a collision coverage limit of $5,000. He damages his car in an accident and it will cost $7,000 to repair. How much does Nate have to pay total out of pocket for this claim?
Nate has a deductible of $1,000, which means he is responsible for paying that amount out of pocket before his insurance coverage kicks in. The cost of repairing his car is $7,000, which exceeds his deductible.
However, Nate's collision coverage limit is $5,000, which is the maximum amount his insurance will cover for repairs.
Since the cost of repairs exceeds Nate's coverage limit, he will have to pay the difference between the coverage limit and the actual repair cost.
In this case, Nate's out-of-pocket expenses would be $7,000 (repair cost) - $5,000 (coverage limit) = $2,000.
Therefore, Nate will have to pay a total of $2,000 out of pocket for this claim, which includes his $1,000 deductible and the additional $1,000 that exceeds his coverage limit.
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Find the value of x and y in simplified radical form.
x and y have the values 7 and 7√2, respectively.
The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.
We can use this information to determine the values of x and y because the base is specified as being 7.
Let's give the perpendicular side the value of x, and the hypotenuse the value of y.
The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.
Consequently, x = 7.
We can determine that x:y:2x using the ratio of 1:1:2.
When we enter the value of x, we may calculate y:
7:y:√2(7)
Simplifying even more
7:y:7√2
Given that the hypotenuse (y) equals 72, we can write:
y = 7√2
Thus, x and y have the values 7 and 7√2, respectively.
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Factor Completely::::
Answer:
x^2(x-9)(x+3) lmk if u need steps
Answer:
x^2 (x+3) (x-9)
Step-by-step explanation:
...............
What is the value of 3 n plus 1 when n=4
Answer:
13
Step-by-step explanation:
3n+1
putting n=4
3(4)+1
12+1
13
A cylinder has a height of 10 centimeters. It's volume is 5306.6 cubic centimeters. What is the radius of the cylinder
Answer: 13
Step-by-step explanation: r=V
πh=5306.6
π·10≈12.9967
in the form, y=a(1+r)^t PLEASEEEEEE
Answer:
y
a= ——
(r + 1 )t
Step-by-step explanation:
divide both sides
What is the value of the expression below when a = 5?
7a - 4
Answer:
31
Step-by-step explanation:
The chart shows the cost of buying season football tickets. Which school gives the best deal?
this is work 100 pint please help me as fast as posible
Answer:
Florida State !
Step-by-step explanation:
it has the lowest cost per ticket , 25$
The sides of a triangle have lengths 6, 8, and 11. What is
the length of the longest side of a similar triangle whose
perimeter is 75?
Answer:
48 is the answer
Step-by-step explanation:
The longest side of the similar triangle whose perimeter is 75 is 33 units.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
The sides of the given triangle are,
6 units, 8 units and 11 units.
Also given that,
There is a similar triangle whose perimeter is 75 units.
To find the longest side of the similar triangle,
Let the sides of the similar triangle are 6x, 8x and 11x
The perimeter of triangle = 75
Implies that,
6x + 8x + 11x = 75
25 x = 75
x = 3
Since, the longest side of the similar triangle = 11 x
Substitute x = 3 here,
Longest side = 11 × 3 = 33 units
The required side of similar triangle is 33 units.
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Does anyone know the answer
Answer:
B. 0.56
Step-by-step explanation:
i had this question yesterday, and go it right -_-
Pls graph and answer!
Answer:
Closed bracket “ ] “
at -5 facing the left then fill in the graph from -5 to -10
It’s facing left because -5 is greater than -x-4
Answer:
x ≥ 1
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
−x ≤ −1
Divide each term in −x ≤ −1 by −1 and simplify.
x ≥ 1
Hope this helps! :)
The diameter
of the Earth is 1.3 × 10 km.
The diameter of the Moon is 3.5 × 10 km.
The diameter of the Sun is 400 times greater
than the diameter of the Moon.
How many times smaller is the diameter of
the Earth than the diameter of the Sun
Earth's diameter is 0.0092 times less than the sun's diameter.
Ratio, in math, is a time period this is used to examine or greater numbers. It is used to indicate how large or small a sum is in comparison to another.In a ratio, portions are as compared the use of division. Here the dividend is referred to as the `antecedent' and the divisor is referred to as the 'consequent'. For example, in a collection of 30 people, 17 of them opt for to stroll within side the morning and thirteen of them favor to cycle. We use the ratio formulation whilst evaluating the connection among numbers or portions. The popular shape of representing a ratio of among portions say 'a' and 'b' is a: b, that's examine as 'a is to b'.The Diameter of Earth = 1.3 * 10⁴ km
The Diameter of Moon = 3.5 * 10³ km
Let the diameter of sun be x km
According to the question
The diameter of the sun is 400 times that of the moon.
x = 400 * 3.5 * 10³ km
= 14 * 10⁵ km
The Diameter of earth / diameter of sun
= 1.3 * 10⁴ / 14 * 10⁵
= 0.0092
Hence, The diameter of the Earth is 0.0092 times that of the Sun.
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Which equation is NOT equivalent to p – 7 = 22? Select all that apply.
A. p – p – 7 = 22 – p
B. p – 7 – p = 22 – p
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
Answer:
C. p - 7 + 22 = 22 - 7
D. p - 7 + 7 = 22 - 22
Step-by-step explanation:
p - 7 = 22
Add 7 to both sides
p = 29
An equivalent equation could be;
-7 = 22 - p
H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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How many liters of 70% alcohol solution and 30% alcohol solution must be mixed to obtain 8 liters of 60% alcohol solution?
a. Complete the table below with the expressions needed to solve this problem. Then solve it in part b.
70% solution 30% solution Final solution
Number of Liters x y
Liters of Alcohol
b. You need
liters of 70% solution and
liters of 30% solution.
I need help
1/2 + 1/3
Answer:
5/6
Step-by-step explanation:
1/2x3= 3/6
1/3x2=2/6
3/6+2/6=5/6
find the equation of the graph
The equation of the function shown in the graph is y = 2sin(-4x) - 2 after applying the transformation.
What is sin function?It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a ]where is the amplitude of the function.
As we know,
The standard form of the sin function is:
y = asin(bx) + c
From the graph, we get the values of a, b, and c
Or
On applying a transformation to the function:
y = sinx
y = 2sinx (function will strech vertically)
y = 2sinx - 2 (function will shift down by 2 units)
y = 2sin(-4x) - 2 ( function will reflect and shrink by factor 4)
Thus, the equation of the function shown in the graph is y = 2sin(-4x) - 2 after applying the transformation.
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Need helppppppp
Factored form
expressions or equations.
Select all the ways to name 14.09.
a. 1,409 hundredths
b. 1 ten + 409 hundredths
c. 1 ten + 4 ones + 9 tenths
d. 140 tenths +9 hundredths
e. 1,409 tenths
The following table shows the breakdown of opinions for both faculty and students in a recent survey about the new reconstructing of the campus to include an honors college. find the probability that a randomly selected person is either a faculty member in favor of the change or a student who has an opinion either for or against. express your answer as a fraction.
Given:
The objective is to find the probability that a randomly selected person is either a faculty member in favor of the change or a student who has an opinion either for or against.
Explanation:
The required probability can be calculated as,
\(P(\text{AorB)}=P(A)+P(B)-P(AandB)\text{ . . . .(1)}\)Here, P(A) represents the probability of faculty member in favor of the change, P(B) represents the probability of student who has an opinion either for or against.
The probability of faculty member in favor of the change can be calculated as, T
\(P(A)=\frac{7}{217}\text{ . . . .(2)}\)The probability of student who has an opinion either for or against can be calculated as,
\(\begin{gathered} P(B)=\frac{69}{217}+\frac{75}{217} \\ P(B)=\frac{144}{217}\text{ . . . . . .(3)} \end{gathered}\)Since, it is mutually exclusive events,
\(P(\text{AandB)}=0\text{ . . . . . . .(4)}\)To find P(A or B):
On plugging the equations (2), (3) and (4) in equation (1),
\(\begin{gathered} P(\text{AorB)}=\frac{7}{217}+\frac{144}{217}+0 \\ =\frac{151}{217} \end{gathered}\)Hence, the probability that a randomly selected person is either a faculty member in favor of the change or a student who has an opinion either for or against is 151/217.
HELP HELP HELP ME PLEASE-
the answer is C or E lol because it's asking I've you put > in between both of them which one would be wrong if you put > in between them I look over them it would be c or e