Answer:
8*x > 72
x > 72/8
x > 9
The number is any number greater than 9.
It could be 9.5, 10, 11, 12,....
Step-by-step explanation:
The mathematical expression representing the verbal expression given is 8n < 72
What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, a verbal expression. eight times a number n less than 72,
We need to convert it in mathematical expression
So, the expression will be
8n < 72
Now, solving for n,
8n < 72
n < 9
Therefore, values of n below 9 is the solution of the inequality.
Hence, the mathematical expression representing the verbal expression given is 8n < 72
Learn more about expressions, click;
https://brainly.com/question/14083225
#SPJ2
Help please! 8th grade math! ASAP
17. 1lb is the better deal
18. about $17
19. 1.5lbs I think
20. 7000lbs
Brady and 3 friends went to lunch at Mazzio’s Pizza. Their meal cost $32, and they left a 15% tip. How much was the total bill, including tip?
Answer:36.80
Step-by-step explanation:
15% of 32 is 4.8 so add that
To find the total bill for Brady and his friends at Mazzio's Pizza, including a 15% tip on a $32 meal, you calculate the tip as $4.80. Adding the tip to the original cost gives a total bill of $36.80.
Explanation:Brady and his friends' meal at Mazzio's Pizza cost $32, and they want to leave a 15% tip. To calculate the tip amount, convert the percentage to a decimal form by dividing by 100 (15% becomes 0.15), and then multiply by the cost of the meal.
This results in $32 × 0.15 = $4.80. With the added tip, the total bill becomes $32 (meal cost) + $4.80 (tip) = $36.80. So, the total bill including the tip is $36.80.
Learn more about Total Bill Calculation here:https://brainly.com/question/17745127
#SPJ2
Plz help Needed for graduation!!
Answer:
[tex]\large\boxed{25^\frac{5}{2}=3,125}[/tex]
Step-by-step explanation:
[tex]a^n\cdot a^m=a^{n+m}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\\\======================\\\\25^\frac{5}{2}=25^{2\frac{1}{2}}=25^2\cdot25^\frac{1}{2}=625\sqrt[2]{25^1}=625\sqrt{25}=625(5)=3,125[/tex]
Is it independent or dependent?
Answer: I would say Independent
Step-by-step explanation:
(12 × 6) × 10 Which of the following is equal to the expression listed above? A. (12 × 6) + 10 B. (12 × 6) × (6 × 10) C. 12 × (6 × 10) D. 10 × 12 + 10 × 6
Assuming a 90% confidence level, the margin of error is approximately?
Answer:
0.3
Step-by-step explanation:
The margin of error is calculated as ...
(standard deviation)/√(sample size) × (z*-score)
where the z*-score is chosen based on the desired confidence level.
Here, you have ...
standard deviation = 2.7√(sample size) = √225 = 15z*-score for 90% confidence level = 1.645Putting these values in the above expression for margin of error gives ...
2.7/15·1.645 = 0.2961 ≈ 0.3
Answer:
0.3.
between 20.3 and 20.9
Step-by-step explanation:
I need help solving for this
Answer: 12/15 = 0.8
Step-by-step explanation: There are 12 donuts and 15 teachers, just divide the amount of donuts by the amount of teachers. Hope that helps.
At a neighborhood park, there are 11 spaces for bicycles on a rack by the basketball court. The bicycle rack by the playground has 3 times as many spaces for bicycles as the one by the basketball court. What equation can be used to find the total number of bicycles spaces on the rack by the playground?
Answer:
Since they are 11 spaces for bicylces and the playground has as many spaces for bicycles then we use this equation 3 x 11 = 33 to find the total number of bicycles spaces on the rack by the playground.
Out of 54 randomly chosen football players in a football league, 11 said they were going to attend camp there are 810 players in the entire league
How many players in the league would you expect to attend camp?
A 54
B 437
C 165
D 20
First we find the average out of the total. 11÷54=0.20 this is the percentage wanting to attend. now we times this number by the total number of football players. 810 X 0.20 equals 165. your answer is C.
Can somebody help me answer these plz?
Answer:
At = 27.225 ft2
Step-by-step explanation:
Hello
The triangle area is:
At = (b*h)/2
At = (9.9*5.5)/2
At = 27.225 ft2
Best regards
the function h(x)=x^2+3 and g(c)=x^2-6. if g(x)=h(x)+k, what is the value of k?
i am so confused and i really need this answer soon someone please help
ANSWER
k=-9
EXPLANATION
The given function is
[tex]h(x) = {x}^{2} + 3[/tex]
and
[tex]g(x) = {x}^{2} - 6[/tex]
We want to rewrite g(x) in terms of f(x).
[tex] {x}^{2} - 6 = {x}^{2} + 3 + - 9[/tex]
This implies that,
[tex]g(x) = h(x) + - 9[/tex]
When we compare, we realize that
[tex]k = - 9[/tex]
Camille collects stickers. Her sticker book holds 5 stickers in each row. When a page is full, it holds 65 stickers. How many rows of stickers are on a full page?
118,437 stickers. Trust me. I am REALLY good at math.
How do I show my work??
you would show the long division
Answer:
u can use long division
Step-by-step explanation:
10788 divided by 31 is 348 because
31 cant go into 1 so do it again
31 cant go into 10 so again
31 can go into 107 3 times leaving 14
add the 14 to 8 and so on
using the area model 8,708÷28
Answer:
311
Step-by-step explanation:
Explain the difference between multiplying by powers of 10 when the exponent is a positive number and when the exponent is a negative number
Answer:
a negative number makes fractions. a positive one makes bigger number
Step-by-step explanation:
Answer:
a negative number makes fractions. a positive one makes bigger number
Step-by-step explanation:
Find the output, k, when the input, t, is -7
K = 10t - 19
K= ?
Answer:
k= -89
Step-by-step explanation:
k = 10t - 19 and t = -7
k=10 (-7) - 19
k= -70 - 19
k= -89
Answer:
-89
Step-by-step explanation:
(06.04 MC)
What is the approximate equation of this line of best fit in slope-intercept form?
Answer:
The equation of the line of best fit is y = (-9/7)x + 13.
Step-by-step explanation:
The y-intercept of this straight line is (0, 13); we could also say that b = 13.
Two points on the graph are (0, 13) and (7, 4). As we go from x = 0 to x = 7, x increases by 7; at the same time, y decreases by 9.
From this observation, we can easily calculate the slope of this line:
m = rise / run = -9/7.
Then the equation of the line of best fit is y = (-9/7)x + 13.
The equation which represents the line that best fits the given data points is [tex]\[ y = -\frac{3}{2}x + 15 \][/tex]
Certainly! Let's go through the steps to find the equation of the line using the points (0, 15) and (10, 0).
1. Calculate the Slope [tex](\(m\))[/tex]:
The slope of a line [tex](\(m\))[/tex] is given by the formula:
[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex]:
[tex]\[ m = \frac{0 - 15}{10 - 0} \][/tex]
[tex]\[ m = \frac{-15}{10} \][/tex]
[tex]\[ m = -\frac{15}{10} \][/tex]
This can be simplified further by dividing the numerator and denominator by 5:
[tex]\[ m = -\frac{3}{2} \][/tex]
So, the slope[tex](\(m\))[/tex] is [tex]\(-\frac{3}{2}\).[/tex]
2. Find the Y-Intercept [tex](\(b\))[/tex]:
The y-intercept [tex](\(b\))[/tex] is the y-value when (x = 0). We are given the point [tex]\((0, 15)\),[/tex] so the y-intercept is 15.
3. Write the Equation of the Line:
The equation of a line is in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept.
Now we substitute the slope [tex]\(-\frac{3}{2}\)[/tex] for (m) and the y-intercept 15 for (b) in the equation (y = mx + b):
[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]
So, the equation of the line of best fit in slope-intercept form using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex] is:
[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]
This equation represents the line that best fits the given data points.
Question
(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 15 and 0.5, 14 and 1, 13 and 2, 12 and 3, 11 and 4, 9 and 5, 8 and 6, 6 and 7, 4.5 and 8, 2.3 and 9, 2 and 9.8, 0.5 are shown on the graph. A straight line joins the ordered pairs 0, 15 and 10, 0. What is the approximate equation of this line of best fit in slope-intercept form?
The width of a rectangle is 8 inches and the length is 5 inches. What is the perimeter of the rectangle? 13 in. 26 in. 40 in. 21 in.
The perimeter is the total outside dimensions.
There are 2 sides that are 8 inches and 2 sides that are 5 inches.
Perimeter = 8+8+5+5 = 26 inches.
The required perimeter of the rectangle is 26 inches
What is a rectangle?A rectangle is a four sided quadrilateral, having all the internal angles equal to 90 degrees and opposite sides are equal and parallel.
What is perimeter?A perimeter of a figure is the sum of all the sides that bounds the figure.
How to find the perimeter of a rectangle?The perimeter of a rectangle can be found by the formula : 2(length + breadth)In the given problem,
Length of the rectangle is 5 inchesBreadth of the rectangle is 5 inches.∴ Perimeter of the rectangle = 2(8 + 5) inches
= 26 inches
Find out more details about "Rectangle" here: https://brainly.com/question/25292087
#SPJ2
Mack bought two CDs for $14.50 each, one wallet for $12.00, and four picture frames at $7.50 each. What is the average cost of each item rounded to the nearest dollar?
Answer:
$71 dollars
Step-by-step explanation:
What you have to do is do 14.50 times 2 to get 29.
Then 7.50 times 4 to get 30.
You will then add 29+30+12=$71 dollars.
Answer:
(14.5+14.5+12+7.5+7.5+7.5+7.5 )= 71
71/7 = 10$
Write an equation in point-slope form of the line through point (4, -4) with slope, m=4
Answer:
y + 4 = 4(x-4)
Step-by-step explanation:
Use the point slope form of a line to write the equation by substituting m = 4 and the point (4,-4).
[tex]y - y_1 = m(x-x_1)\\y --4=4(x-4)\\y + 4 = 4(x-4)[/tex]
Abigail has 16 apples she eats 2 apples per day.let y be the apples remaining as a function of the number of week,x
Answer:
8 days
Step-by-step explanation:
question
how much apples remaing as a function of the number of week ? so Abigail has 16 apples she eats 2 apples per day
1 st how long before all her apples Finnish
8 days how
count by twos until u reach 16
so x= 8
Final answer:
Abigail has 16 apples, and by eating 2 per day, she consumes 14 per week. The function for remaining apples after x weeks is y = 16 - 14x.
Explanation:
Abigail has 16 apples and eats 2 apples per day. To express the remaining apples, y, as a function of the number of weeks, x, we first need to determine how many apples are eaten in one week. Since there are 7 days in a week and Abigail eats 2 apples per day, she will eat 14 apples in one week.
The function describing the remaining apples after x weeks can be constructed as follows:
Start with the total number of apples Abigail has, which is 16.
Calculate the total apples consumed in x weeks: Apples eaten per week × Number of weeks (x), which is 14x.
Subtract the total apples consumed from the initial amount to get the remaining apples: y = 16 - 14x.
This equation represents the remaining apples as a function of the number of weeks.
Helping my son with math homework. How do you do these types of questions?
7a/10 = 77/60
You want to find out what a is.
7a / 10 = 77 / 60
Put your equation into the form Ax = B, where x = a
You can multiply both sides by 10 to get rid of the denominator.
7a / 10 * 10 = 77 / 60 * 10
7a = 77 / 6
Put your equation into the form x = B, where x = a
You can get a on it's own by dividing both sides by 7.
7a ÷ 7 = 77 / 6 ÷ 7
a = 77 / 6 ÷ 7
When dividing fractions:
Convert 7 to a fraction: [tex]\frac{7}{1}[/tex]
Flip the second fraction and multiply.
[tex]\frac{77}{6}[/tex]*[tex]\frac{1}{7}[/tex]=[tex]\frac{77}{42}[/tex]
a = 77 / 42
Simplify the fraction by dividing be a common factor - 7.
77 ÷ 7 = 11
42 ÷ 7 = 6
a = 11 / 6The value of a is 11/6
Step-by-step explanation:see the image
8.....,,,,,,,,,,,,,,,,
Answer:
option (a)
(a³-b³)^1/4
Step-by-step explanation:
Given in the question an expression
4√a³-b³
To find,
this expression without radicals
There is another way to represent the taking of a root. You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction. a√x = (x)1/a
Example
√a = a^1/2
∛a = a^1/3
So, similarly the expression 4√a³-b³ = (a³-b³)^1/4Solve the equation. x^2 − 6x − 7 = 0
A) x = 7
B) x = 1
C) x = 1 or x = −7
D) x = −1 or x = 7
x equals 7,-1 :)))))))))))
Answer:
D
Step-by-step explanation:
given x² - 6x - 7 = 0 ← in standard form
To factor the quadratic
Consider the factors of the constant term ( - 7 ) which sum to give the coefficient of the x- term ( - 6)
The factors are - 7 and + 1, since
- 7 × 1 = - 7 and - 7 + 1 = - 6, thus
(x - 7)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 1 = 0 ⇒ x = - 1
The solution to the equation is D
What is the first term when applying Binomial theorem
Answer:
1
Step-by-step explanation:
Binomial theorem is describing the expansion of powers of the term (a + b)^n
Obviously if n = 0, a + b = 1
So the first term is 1.
Which point represents the center of the circle below ?
D.
If you look at the circle the point O is most is obviously in the center .
Answer:
D) Point O is the center.
Step-by-step explanation:
Given : Circle.
To find : Which point represents the center of the circle below.
Solution : We have given Circle.
The center of a circle is the point which is equidistant from all points on the circle.
Point O is equidistant from point R and S and A.
So, Center of the circle is O.
Therefore, D) Point O is the center.
Graph the system of equations {3x+y=6 -3x-4y=12
Answer:
see attached
Step-by-step explanation:
A graphing calculator can easily show you a graph of these equations. (see attached)
__
If you want to graph them by hand, it is convenient to make use of the x- and y-intercepts. For an equation in standard form each of the intercepts is found by dividing the constant by the coefficient of the variable
ax +by = c . . . . . . equation of a line
x-intercept: c/a
y-intercept: c/b
__
For the first equation, the intercepts are ...
x-intercept: 6/3 = 2, point (2, 0)
y-intercept: 6/1 = 6, point (0, 6)
For the second equation, the intercepts are ...
x-intercept: 12/-3 = -4, point (-4, 0)
y-intercept: 12/-4 = -3, point (0, -3)
In each case, the line can be drawn through the plotted intercept points.
Complete the equation 1 2/3mi = ? ft
A- 8,800
B- 9,600
C- 10,560
D- 13,200
Answer:
A. Hope this helps.
solve 41x-17y=99 17x-41y=75
Answer:
X= 2 Y= -1
Step-by-step explanation:
Need steps for both questions
11.
6x-3y=18
-3y=-6x+18
y = (-6x +18)/-3
y = 2x - 6
12.
-3x-7y=14
-7y=3x+14
y=(-3/7)x - 2
Answer:
[tex]\large\boxed{Q10.\ y=2x-6}\\\boxed{Q12.\ y=-\dfrac{3}{7}x-2}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
Q 10.
[tex]6x-3y=18[/tex] subtract 6x from both sides
[tex]6x-6x-3y=-6x+18[/tex]
[tex]-3y=-6x+18[/tex] divide both sides by (-3)
[tex]\dfrac{-3y}{-3}=\dfrac{-6}{-3}x+\dfrac{18}{-3}\\\\y=2x-6[/tex]
Q 12.
[tex]-3x-7y=14[/tex] add 3x to both sides
[tex]-3x+3x-7y=3x+14[/tex]
[tex]-7y=3x+14[/tex] divide both sides by (-7)
[tex]\dfrac{-7y}{-7}=\dfrac{3}{-7}x+\dfrac{14}{-7}\\\\y=-\dfrac{3}{7}x-2[/tex]