Answer:
unfortunately there's no questions to be answered
find the area of a rhombus whose side cm and altitude is 4.8cm. If one of its diagonals is cm long, find the length of the other diagonal.
The rhombus has a area of 24 square centimetres.
The area of a rhombus can be found using the formula A = (d1 x d2)/2, where d1 and d2 are the lengths of the diagonals of the rhombus.
In this case, we are given the side length of the rhombus as 5 cm and its altitude as 4.8 cm. The altitude is the height of the rhombus, which is perpendicular to the side and bisects it. Therefore, we can use the altitude and the side to find the lengths of the diagonals.
The length of one diagonal is twice the length of the altitude, so we have:
d1 = 2 × 4.8 = 9.6 cm
To find the length of the other diagonal, we can use the formula for the area of the rhombus:
A = (d1 x d2)/2
Rearranging this equation, we get:
d2 = (2A)/d1
Substituting the given values, we get:
d2 = (2 × 5 × 4.8)/9.6
d2 = 5 cm
Therefore, the length of the other diagonal is also 5 cm.
Now that we know the lengths of the diagonals, we can use the formula for the area of the rhombus:
A = (d1 x d2)/2
Substituting the values we found, we get:
A = (9.6 × 5)/2
A = 24 cm²
Therefore, the area of the rhombus is 24 square centimeters.
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Two families went to the movies. One family paid $56 for 4 tickets and 2
tubs of popcorn. The other family purchased 3 tickets and 3 tubs of
popcorn and paid $51. What is the cost of one ticket? What is the cost of
one tub of popcorn?
Taking into account the definition of a system of linear equations, the cost of one ticket is $11 and the cost of one tub of popcorn is $6.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
In the systems of equations, the values of the unknowns must be found, with which when replacing, they must give the solution proposed in both equations.
Cost of one ticket and one tub of popcornIn this case, a system of linear equations must be proposed taking into account that:
"t" is the cost of one ticket."p" is the ost of one tub of popcorn.You know that:
One family paid $56 for 4 tickets and 2 tubs of popcorn. Another family purchased 3 tickets and 3 tubs of popcorn and paid $51.The system of equations to be solved is
4t + 2p= 56
3t + 3p= 51
There are several methods to solve a system of equations and it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "p" from the first equation:
2p= 56 - 4t
p= (56 - 4t)÷ 2
p= 56÷2 - (4÷2)t
p=28 -2t
Replacing this expression in the second equation:
3t + 3×(28 -2t)= 51
Solving:
3t + 3×28 -3×2t= 51
3t + 84 -6t= 51
3t -6t= 51 - 84
-3t= -33
t= (-33)÷(-3)
t= 11
Remembering that p=28 -2t, you get:
p=28 -2×11
p=28 - 22
p= 6
In summary, each ticket cost $11 and each tub of popcorn cost $6.
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Plz answer question I'll give out brainliest to first person who answers.
Answer:
B. 7 + (y · 5) and 7 + (5 · y)
Step-by-step explanation:
Multiplication has the commutative property which means the result is the same no matter what way round the numbers are, e.g. 4 × 3 is the same as 3 × 4. In both expressions 5 and y is in brackets and the results of both brackets are 5y. Both expressions are equal to 7 + 5y therefore they are equivalent.
Hope this helps!
Answer:
B- 7+(y*5) and 7+(5*y)
Step-by-step explanation:
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 1) and (1, 0). Everything to the left of the line is shaded. The solutions to the inequality y ≤ −x + 1 are shaded on the graph.
Which point is a solution?
(2, 3)
(3, –2)
(2, 1)
(–1, 3)
Answer:
B
Step-by-step explanation:
The equation is
y<=-x+1.
We test all and figure that B is correct.
-2<=-3+1
-2<=-2.
Correct!
So the answer is B
Hope this helps ;D
Answer:
Step-by-step explanation:
the answer is bee
The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. How many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from?
Therefore, there are 53,248 different super subs that can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from at Sandwich Station.
The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. The question is asking how many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from.
To solve this problem, we can use the multiplication principle of counting. The multiplication principle states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
Let's use the multiplication principle to solve this problem. There are four different toppings, and we can choose any of the eight toppings for each of the four spots.
Using the multiplication principle, there are
8 x 8 x 8 x 8 = 4096
ways to choose the toppings. Similarly, there are
6 x 6 x 6 = 216
ways to choose the condiments. Lastly, there are 6 different types of homemade bread to choose from. Using the multiplication principle again, there are
4096 x 216 x 6 = 53,248,
which means there are 53,248 ways to make the super subs.
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hope u guys happy everyday!
Answer:
but my days are always happy
Answer:
thks bro
Step-by-step explanation:
Please help with this
Answer: Circle lines
Step-by-step explanation:
Hopefully the attached image helps, it is a diagram of all the labeled lines on a circle excluding the radius (BG or GE)
what is the solution of √5x+1-√x=5
Answer: x= 16
Step-by-step explanation:
Solve for x
√(5x + 1) − √x = 5
Add √x to both sides of the equation.
√(5x + 1)^2 = 5( + √x )^2
To remove the radical on the left side of the equation, square both sides of the equation.
√5x + 12 = (5 + √x)^2
Simplify each side of the equation.
5x + 1 = 25 + 10√x + x
Solve for 10√x.
10√x = 4x − 24
To remove the radical on the left side of the equation, square both sides of the equation.
(10√x)^2 = (4x − 24)^2
Simplify each side of the equation.
100x = 16x^2 − 192x + 576
Solve for x.
x = 9/4 , 16
Exclude the solutions that do not make √5x + 1 − √x = 5 true.x = 16
a sphere has a radius of 6m
what measurement is the closest to the volume of the sphere in cubic inches?
Answer:
\(V=55212651.6\ \text{inches}^3\)
Step-by-step explanation:
Given that,
The radius of a sphere, r = 6 m
We know that,
1 m = 39.37 inches
6 m = 236.22 inches
The volume of the sphere is given by :
\(V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\pi \times 236.22^3\\\\V=55212651.6\ \text{inches}^3\)
So, the required volume of the sphere is equal to \(55212651.6\ \text{inches}^3\).
Find the area of a circle with radius 36 cm. Use = 3.14.
A.226.08 cm
B.2,034. 72 cm?
C.4069. 44 cm
D.8,138.88 cm?
Answer:
4071.5cm²
i'm sorry if this is wrong is it supposed to be the EXACT number?.
b.a slug takes 4.25 minutes to travel 11.2 centimeters. what is the speed of the slug in meters per second? predicted number of significant digits in answer: 2 or 3 answer value: actual number of significant digits:
Answer:
0.00375 meters per second,
Step-by-step explanation:
0.00375 meters per second, we know this is the answer because, 4.25*60=255 and 255/11.2=0.00375
help pls
Factor out the GCF (greatest common factor).
16x^2-12x^4
Answer:
It is 4
Step-by-step explanation:
I really hope I helped you Have a nice day
Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit. Function g is represented by the table. x 0 1 2 3 4 g(x) 75 43 27 19 15 Which statement correctly compares the two functions on the interval [0, 4]? A. Both functions are decreasing at the same average rate on that interval. B. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval. C. Both functions are decreasing, but function f is decreasing at a faster average rate on that interval. D. Function f is decreasing, but function g is increasing, on that interval.
B. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.
Let's clarify the comparison between the functions f(x) and g(x) and explain the rates of decrease more accurately.
The given table represents the values of function g(x) for different values of x: x = 0, 1, 2, 3, 4.
The corresponding values of g(x) are 75, 43, 27, 19, and 15, respectively.
Function f is described as an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.
However, we don't have the specific values of f(x) for the interval [0, 4].
So, we cannot compare the exact values of f(x) and g(x) directly.
Now, let's compare the average rates of decrease between the two functions:
For function f, we know that it decreases by 50% as x increases by 1 unit. This means that for every unit increase in x, the value of f(x) decreases by half of its previous value.
On the other hand, for function g, we can observe the values in the table. As x increases from 0 to 1, g(x) decreases from 75 to 43.
This is a decrease of 32, which represents a decrease of (32/75) \(\times\) 100% ≈ 42.67%.
From the given information, we can conclude that function g is decreasing at a faster average rate compared to function f on the interval [0, 1].
However, without further information or additional data points, we cannot make a definitive comparison for the entire interval [0, 4].
Therefore, the correct statement regarding the comparison of the two functions on the interval [0, 4] would be:
B. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.
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Weighing the alternatives [Marks 2]
When weighing the various alternatives, how well each alternative fulfills the variables to consider can be expressed as scores. A different rating scale will be used to assess each alternative:
+2 very suitable
+1 quite suitable
0 neither suitable nor unsuitable
-1 not quite suitable
-2 not suitable at all
Note: Positive numbers (+2 or +1) indicate that the alternative is able to fulfill the variables, whereas negative numbers (-2 or -1) denote the opposite.
When weighing the alternatives, the suitability of each alternative can be expressed using a scoring system. The scoring system assigns scores to each alternative based on how well they fulfill the variables to consider.
The following rating scale is used:
+2: Very suitable
+1: Quite suitable
0: Neither suitable nor unsuitable
-1: Not quite suitable
-2: Not suitable at all
These scores reflect the extent to which each alternative meets the criteria or variables being evaluated. A higher positive score (+2 or +1) indicates that the alternative is highly suitable and fulfills the variables well. A score of 0 suggests that the alternative does not strongly align with the variables, neither positively nor negatively. Negative scores (-1 or -2) indicate that the alternative is not suitable and fails to fulfill the variables effectively.
By assigning scores to each alternative, decision-makers can compare and evaluate the different options based on their suitability and alignment with the desired criteria. This helps in making informed decisions and selecting the most appropriate alternative that best meets the desired objectives or requirements.
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PLEASE HELP ME ANSWER. NEEDS TO HAVE AN EXPLANATION.
Answer:
1) C. 4 - 3·i
2) D. The second graph shares the same vertex, is inverted, and opens wider than the first graph
3) C. y = (x - 2)² + 3 would shift right two units
4) B. Figure B' is congruent but not similar to figure B
5) A. m∠k' = m∠k
Step-by-step explanation:
1) Given that the real part of the complex number = 4
The imaginary of the complex number = -3
The general form of representing complex numbers is z = a + b·i, we have;
The binomial equivalent to the complex number is z = 4 - 3·i
2) The first graph equation is y = 2·x²
When x = 1, y = 2 and when x = 2, y = 8
The vertex = (h, k)
Where;
h = -b/(2.a) and b = 0, a = 2
∴ h = 0/(2 × 2) = 0
h = 0
k = f(h) = f(0) = 2 × 0² = 0
k = 0
The vertex, (h, k) = (0, 0)
The coefficient, 'a' is positive, therefore, the graph opens down
The second function, y = -(1/2)·x² also has a vertex (h, k) = (0, 0)
The coefficient, 'a' is positive, therefore, the graph opens up
When x = 1, y = -1/2 and when x = 2, y = -2
Therefore, the second function is wider
Therefore;
The second graph shares the same vertex, is inverted, and opens wider than the first graph
3) The given functions are;
First function; y = x² + 3 and second function; y = (x - 2)² + 3
First function;
When x = 1, y = x² + 3 = 1 + 3 = 4
∴ When x = 1, y = 4
Second function;
When y = 4, y = 4 = (x - 2)² + 3
√(1) = x - 2
x = 3
∴ When x = 3, y = 4
First function;
When x = 2, y = x² + 3 = 4 + 3 = 7
∴ When x = 2, y = 7
Second function;
When y = 7, y = 7 = (x - 2)² + 3
√4 = 2 = (x - 2)
x = 2 + 2 = 4
x = 4
∴ When x = 4, y = 7
Therefore, the second function, y = (x - 2)² + 3, has the x-value shifted 2 units to the right for a given value of 'y'
4) The lengths of the sides of figure B are 3 by 4, the lengths of the sides of figure B' 4.5 by 6
The ratio of the corresponding length and width of figures B and B' are;
3/4.5 = 4/6
Therefore, figure B' is similar but not congruent to figure B
5) A rotation and a reflection are rigid transformations and therefore, the dimensions and measure of the original figure and the image are the same;
∴ m∠k' = m∠k.
How many faces does this figure have?
O two
O three
O four
O five
Answer:
Five
Step-by-step explanation:
it is a triangular prism so five sides
Give me Brainllest
How is the formula for converting radians to degrees determined?
Answer:
See below
Step-by-step explanation:
Converting from radians to degrees
\(r=\frac{\pi}{180}d^\circ\)
Converting from degrees to radians
\(d^\circ=\frac{180}{\pi}r\)
Because \(2\pi\) radians is equivalent to \(360^\circ\), the measure of a full circle, then 1 radian would be \(\frac{360^\circ}{2\pi}=\frac{180^\circ}{\pi}\) degrees. Similarly, 1 degree would be \(\frac{2\pi}{360^\circ}=\frac{\pi}{180^\circ}\) radians. This is where the formulas come from!
Write in Standard Form. 3x2 4x + 7x3 + 1
The Standard Form of the polynomial function 3x^2 4x + 7x^3 + 1 is 7x^3 +3^2 +4x + 1
What is the meaning of the Standard Form of polynomial function?The meaning of the Standard Form of polynomial function can be explained as when the terms are in this equation or functions are be written in descending order of exponents.
This is usually done starting from the from left to right, we were given the function as :3x^2 +4x + 7x^3 + 1 , then let us arrange it as:
7x^3 +3^2 +4x + 1
Therefore, the Standard Form of polynomial function is 7x^3 +3^2 +4x + 1 .
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Picture below has question/answer choices!!
The statements that is true about the similarity of the two triangles the option D
D. ΔMNO and ΔJKL are not similar triangles
What are similar triangles?Similar triangles are triangles which have proportional corresponding sides
The parameters in the question are;
The length of segment MN = 20
Length of segment NO = 12
Length of segment OM = 25
Measure of angle ∠O = 56°
Length of segment LJ =- 15
Length of segment JK = 12
Length of segment KL = 9
Measure of angle ∠L = 56°
Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included angle between the two sides are congruent
The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL
However, the ratio of the sides LK to ON and JL to MO are;
9/12 ≠ 15/25
Therefore, the triangles are not similar
The correct option is option D
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Pls help
Picture in down here
Answer:
1/7 is less than 7/12
Step-by-step explanation:
please mark me as brainlest
Is (6, 34) the solution to the system below?
y = 5x + 4 and x + y = 40
Circle your final answer. SHOW WORK as mathematical proof.
Answer:
Yes
Step-by-step explanation:
y = 5x + 4
x + y = 40
x = 6
y = 34
34 = 5(6) + 4
34 = 30 + 4
34 = 34
34 + 6 = 40
Question 2: A line includes the points (20, 18) and (15, 13). What is its equation in
slope-intercept form?
y =
Answer:y=x
Step-by-step explanation: 13-18=-5
15-20=-5
-5/-5=1 slope
Using point slope take the first point and that slope to find the slope intercept.
Y-18=1(x-20)
Y=x-2
Ok I need help ASAP pls like right now points are going giving and mark brainless pls help I need answers for 1,2,3
Answer:
1. 30 student
2. 120 student's didn't vote
3. 7 quarters
Step-by-step explanation:
1. first, see how many games can be played:
45÷3 = 15
then, multiply the number of games by two because 2 students can play per game
15 • 2 = 30
2. first, figure out what percent of students did not vote:
100 - 60 = 40%
then, multiply the number of students total (300) by the decimal of the percent that did not vote to find the number of students who didn't vote:
300 • .40 = 120 student's didn't vote
3. first, find how much 9 dimes is:
1 dime = $0.10
9 dimes = 9 • $0.10 = $0.90
then, find how much money kerry had:
$2.65 - $0.90 = $1.75
finally, find out how many quarters kerry had by dividing the amount of money she had by the worth of a quarter:
1 quarter = $0.25
$1.75 ÷ $0.25 = 7 quarters
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and
last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sente
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use comples
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for
sentences, explain how the graphs of the functions for the two months are similar and how they are different.
02.03 Key Features of Linear Functions-Option 1 Rubric
Requirements
Student changes equation to slope-intercept form. Student shows all work and identifies the slope and y-intercept of the
Student writes a description, which is clear, precise, and correct, of how to graph the line using the slope-intercept meth
Student changes equation to function notation. Student explains clearly what the graph of the equation represents.
Student graphs the equation and labels the intercepts correctly.
Student writes at least three sentences explaining how the graphs of the two equations are the same and how they are different.
1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.
2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.
3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.
4. A graph of the function with intercepts is shown below.
5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
How to change the equation to slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;
2x + 3y = 1,470
By subtracting 2x from both sides of the equation and dividing by 3, we have:
2x + 3y - 2x = 1,470 - 2x
y = -2/3(x) + 490
Therefore, the slope is -2/3 and the y-intercept is 490.
Part 2.
In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.
Part 3.
Next, we would write the equation in function notation as follows;
f(x) = -2/3(x) + 490
where:
f(x) represents the number of wrap lunch sold.x is the number of sandwich lunch sold.The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.
Part 4.
In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.
Part 5.
Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:
2x + 3y = 1593; y = -2/3(x) + 531.
2x + 3y = 1,470; y = -2/3(x) + 490.
In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
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Complete Question:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
In ΔEFG, g = 34 inches, e = 72 inches and ∠F=21°. Find the area of ΔEFG, to the nearest square inch.
The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.
To find the area of triangle EFG, we can use the formula:
\(Area = (1/2) \times base \times height\)
In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.
First, let's find the length of FG. We can use the law of cosines:
FG² = EF² + EG² - 2 * EF * EG * cos(∠F)
EF = 72 inches
EG = 34 inches
∠F = 21°
Plugging these values into the equation:
FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)
Solving for FG, we get:
FG ≈ 83.02 inches
Next, we need to find the height. We can use the formula:
height = \(EF \times sin( \angle F)\)
Plugging in the values:
height = 72 * sin(21°)
height ≈ 25.52 inches
Now we can calculate the area:
\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)
Area ≈ 1060.78 square inches
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what is angle 1? i really appreciate the help
Answer:
53°
Step-by-step explanation:
\(m \angle1 = \frac{1}{2} (50 + 56) \degree \\ \\ = \frac{1}{2} \times 106 \degree \\ \\ = 53 \degree\)
The equation d = 4 - (1/15)t represents your distance from home d for each minute you walk t .
b. Are you walking towards or away from your home? Explain. points on the line.
The graph of the equation is showing that we are walking towards our home. If the equation d = 4 - (1/15)t represents your distance from home d for each minute you walk t .
What is a slope of line?A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x
We also refer to this tan as the line's slope
We have given d = 4 - (1/15)t
We will use the graph tool and determine the coordinates
(see the attached image)
When t = 0, d = 4 (y-intercept)
This provide the info that at the time t = 0 the house was four units away.
When t = 60 min, d = 0 (x-intercept)
This provide the info that he was already at home at the time t = 60 minutes.
Thus, this slope proves that he was walking towards the house.
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You buy a meal for 20$. You gave a 15% tip and paid 2% before the tip. What is the total for the bill?
Answer:23.4$
Step-by-step explanation:
(13x-26) (5x+8) PLEASE HELP
Answer: X= 11
Step-by-step explanation: 13x-26 and 5x+8 are Linear Pairs which are supplementary. 13x-26+5x+8 is equal to 18x-18=180. 18x=198 and then X=11
Which equation represents this number sentence?
The quotient of 7 and a number is 10 less than 3 times the number
7/n=3(n-10)
7/n =10-3n
N/7=10-3n
7/n3n-10
Answer:
7n=3(n-(10)
Answer= n= -15
2
Answer:
7/n = 10-3n
Step-by-step explanation:
Quotient: 7
Variable (#): N
7/n
Is: Equal sign
7/n=
Number: 10
7/n=10
Less than: -
7/n= 10-
3 times the number: 3n
7/n = 10 - 3n