We have the expression:
\(q\div4+8q\)To answer this question, we can start by substituting the value for q = 8 into the expression:
\(8\div4+8(8)\)We need to remember that we can apply the PEMDAS rule in these cases, that is, we can start with parentheses, then exponents, multiplications, divisions, and finally additions and subtractions.
Since we have here two operations, multiplication, and division, and they have the same "hierarchy" in solving this kind of expression using PEMDAS, we need to start solving the operations from the left to the right. Then, we have:
\(8\div4+8\cdot8=2+64=66\)After the division and multiplication operations, we continue with the addition, and we finally obtained 66 for those combined operations.
In summary, therefore, we have that:
\(q\div4+8q,q=8\Rightarrow8\div4+8(8)=2+64=66\)The final value for those combined operations is 66.
Sue bought 7 notebooks for $8.75. Jolie bought 4 notebooks for $5.08. Who got the better bargain? By how much?
Answer:
235
Step-by-step explanation:
Answer:
sue.
Step-by-step explanation:
sue paid 1.25 per book while Joliet paid 1.27. hope that helps
Solve for x
-22.3=x/3 -3.1
Answer:
-57.6=x
Step-by-step explanation:
-22.3= x/3-3.1
-19.2=x/3
-57.6=x
the least common multiple of the two numbers is 40 the ratio of the greater number is the to the lessor number is 5, 4
if 40 is the least frequent multiple of two whole numbers. The higher number to lesser number ratio is 4:5. The two digits after that are 8 and 10.
What is Least Common Multiple (LCM)?Least Common Multiple is the meaning of the abbreviation LCM.
The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.
It can also be computed using two or more numbers.
Finding the LCM of a given collection of numbers can be done in a variety of ways.
Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.
In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple.
The smallest number among all numbers is called the least common multiple of two or more numbers.
According to our question-
The number LCM is equal to 40.
4 × 5 × x = 40
20 × x = 40
20x=40
x=2
The larger number is equal to 4 x=4(2)=8.
The smaller value is =5x=5(2)=10.
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Complete question-
The least common multiple of two whole numbers is 40. The ratio of the greater number to the lesser number is 4:5. What are the two numbers?
Select all the points of intersection between the graphs of the functions f(x)=(x+5)(x-2)and g(x)=(2x + 1)(x-2)
Select all that apply
a: (-5,0)
b: (-1/2,0)
c: (-2, -12)
d: (2,0)
e: (4, 18)
f: (5, 30)
The point of intersection between the function f(x) and g(x) is x = 4 then, g(x)=18 where option E (4,18) is correct answer.
What is a function?
A function is defined as a relation between a set of inputs having one output each.
We have,
f(x) = ( x + 5 ) ( x - 2 )
g(x) = ( 2x + 1 ) ( x - 2 )
To find the points of intersection between the two functions we must equal the function.
f(x) = g(x)
( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )
( x - 2 ) gets canceled
x + 5 = 2x + 1
5 - 1 = 2x - x
4 = x
x = 4
This means that at x =4 the function f(x) and g(x) intersect.
we can see that at x = 4 both the functions have the same value.
f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2
f(x) = 18
g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )
= 9 x 2
g(x) = 18
Thus the point of intersection between the function f(x) and g(x) is x = 4 then, g(x) =18 where option E (4,18) is correct answer.
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At a fabric store, 3 yards of fabric cost $18.50. If Terry needs 5 yards, how much will she pay? Round to the nearest cent.
Answer:
answer = $30.85
Step-by-step explanation:
3 yards of fabric = $18.50 so 18.50 : 3 = 6.17 (dollars) for one yard of fabric the, just multiply it by 5, 6.17 x 5 = 30.85 dollars
At camping trip, you have the option of seating in a small table or a large table. A small table fits 5 campers who will share 2 pizzas. A large table fits 6 campers who will share 3 pizzas.
Assuming the pizza is shared evenly among the table , at which table do you get the most pizza? Explain how you know.
Answer:
i will be at small table bcz i will get more pizza there
Which line has the same slope as the lone passing through (-4,-1) and (-1,-7)
1) 6x+3y=5
2)y=-1/2x-7
3)y=-2
Answer:
1) 6x+3y=5
Step-by-step explanation:
1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula \(m = \frac{y_2-y_1}{x_2-x_1}\). Substitute the x and y values of the two points into the formula and solve:
\(m = \frac{(-7)-(-1)}{(-1)-(-4)} \\m = \frac{-7+1}{-1+4} \\m = \frac{-6}{3} \\m = -2\)
So, the slope is -2.
2) Now, identify the slopes of the lines in the options. We already know the slope of \(y = -\frac{1}{2} x-7\) is \(-\frac{1}{2}\) since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.
To find the slope of \(6x + 3y = 5\), isolate y to put the equations into slope-intercept form (\(y = mx + b\) format), and whatever the coefficient of the x-term is will be the slope.
\(6x + 3y = 5\\3y = -6x+5\\y = -2x + \frac{5}{3}\).
So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.
Given cos A = 0.33, find angle A in degrees. round your answer to the nearest hundredth.
Answer:
ArcTan (.34) = 18.778 degrees
Multiply 18.778 by pi/180 = .33
Step-by-step explanation:
What's the distance between (–4, 3) and (4, 3)? Question 18 options: A) 8 units B) 11 units C) –8 units D) 14 units
Answer:
A
Step-by-step explanation:
Since the y-coordinates, 3, are the same, we only need to focus on the x-coordinates.
There are no negative distances, so you can cross out C.
The difference between the two x-coordinates is 8.
-4-4 is not correct.
One coordinate is positive and the other is negative, so we need to use absolute value, the distance from 0.
The distance from -4 to 0 is 4. The distance from 4 to 0 is 4.
|-4| + |4| = 4 + 4 = 8
A is the correct answer
Hope this helps :)
Glenn walked from 6:45 a.m. to 8:15 a.m. He walked a distance of 51 miles. What
was Glenn's average walking rate?
Answer:
1.765mph
Step-by-step explanation:
that's an hour and a half which is 90 min
90/51
Finding the angle when given the right angle and two sides. Please show explanation. Thank you.
The measure of angle A in the right triangle is 75.52°
What is the measure of angle A?The figure in the image is a right triangle.
Measure of angle A = ?
Adjacent to angle A = 2
Hypotenuse = 8
To solve for the measure of angle A, we use the trigonometric ratio.
Note: cosine = adjacent / hypotensue
Hence:
cos( A) = adjacent / hypotensue
cos( A ) = 2/8
cos( A ) = 1/4
Take the cos inverse
A = cos⁻¹( 1/4 )
A = 75.52°
Therefore, the measure of the angle is 75.52 degree.
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The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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1) An indoor staircase has a 12 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 41 degrees and there are 15 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:
a) What is the landing space per step (in inches, rounded to the nearest inch)?
b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).
The landing space per step is 14 inches while the vertical rise is 13 feet.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.
From the question:
Angle of elevation = 41°
Let d represent the landing space per step, hence using trigonometric ratio:
tan(41) = 12 inches / d
d = 14 inches
Also, let h represent the vertical rise, hence:
tan(41) = h / 15 feet
h = 13 feet
The landing space per step is 14 inches while the vertical rise is 13 feet.
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The number 31.5 is 37.5% of what number?
A. 69
B. 84
C. 315
D. 375
Answer: B
Step-by-step explanation:
Choose the value that makes the statement true.
In the number 2.016, the value of the digit 1 is 1 (select)
(select)
and the value of the digit 6 is 6
Standard Form: 2,016
Place Value: From left to right for 2,016
Digit Place Value
2 Thousands
0 Hundreds
1 Tens
6 Ones
Word Form:
2,016 =
two thousand sixteen
How many centimeters are equivalent
to 2.5 meters?
Answer:
250 centimeters
Step-by-step explanation:
............
So guys can you please help me
The answer of the product 0.13 x 0.48 is 0.064.
What is multiplication of decimals?
To multiply decimals, multiply first as though there were no decimal. Then, determine how many digits follow the decimal in each factor. the same number of digits should also be added to the product's decimal place.
Every day, we deal with decimals when calculating length, weight, and other variables. When whole numbers are insufficient to provide the level of precision needed, decimal numbers are used.
Consider,
0.13
x 0.48
First we can multiply the numbers 13 and 48.
13 x 48 = 624
There are 4 decimals in two numbers.
So, we can add this decimal to the product.
⇒ 0.13 x 0.18 = 0.0624
Hence, the answer of the product 0.13 x 0.48 is 0.064.
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Work out the perimeter of the shaded shape.
Perimeter is the sum of lengths of the sides forming the considered shape. The perimeter of the considered shaded shape is 28 m
What is perimeter?Its the sum of length of the sides used to made the given figure.
For this case, considered the image attached below, in which we named the vertices of the shaded region for ease.
Assuming the top box ABGH is perpendicular to the lower box CDEF, and because of right angles (as shown by small small boxes in the corners, we've got ABGH and CDEF as rectangles.
Because of those small boxes in corners(which are denoting presence of right angles on those corners) of ABGH, its a rectangle.
Assuming the top box ABGH is horizontal to the lower box CDEF vertically standing, the side CF is parallel to DE. And because CD and FE are perpendicular to DE, they're perpendicular to CF too, and therefore, as CDEF is a four sided shape, and with adjacent sides perpendicular to each other, its a rectangle.
Rectangles have opposite sides equal.
From CDEF, the side CD is CF is of same length as of DE which is of 2 m.
Thus, we get:
|CF| = |DE| = 2 m
Now, the length of the side BG is:
|BG| = |BC| + |CF| + FG| = 5+2+2 = 9 m
Since ABGH is a rectangle, therefore we get:
|AH| = |BG| = 9 m
and |AB| = |HG| = 2 m
And from rectangle CDEF, |FE| |CD| = 5 m
Thus, we get:
Perimeter of the shaded region = sum of lengths of its sides = |AB| + |BC| + |CD| + |DE| + |EF| + |FG| +|GH| + |HA| = 2+5+5+2+5+2+2+5 = 28 m
Thus, the perimeter of the considered shaded shape is 28 m
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2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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the product of 9 and sum of a number x and 12
Answer:
9(x + 19)
Step-by-step explanation:
Product is a multiplication key word where you'll usually always put parenthesis when multiplying, and where the keyword sum comes you'd add x and 12 for your equation :)
Find the missing angles in the image below. Use two different angle theories to explain how you found at least two missing angles.
Answer:
In the lower isosceles triangle diagram, angle a = 40 angle c = 40 angle b = 100 angle e = 140
Step-by-step explanation:
By definition, the angles of a triangle must add up to 180. the lower angles opposite the congruent lines BE and BD must be congruent by definition of an isosceles triangle. therefore we can determine the angle b as follows... angle b = 180 - (40 x 2) = 180 - 80 = 100
Supplementary angles add up to 180 therefore, angle e = 180 - 40 = 140
Corresponding angles on parallel lines disected by a third line are congruent. Therefore, angle a = 40. As angle c is congruent to angle a, angle c must also = 40.
Please help if you can thanks
The mid segment would be 1/2 the length of the longest side which is YZ
YZ = 2 x VX
U + 9 = 2u
Subtract 1u from both sides:
U = 9
now you have the value for u, replace in the equation for YZ and solve.
YZ = 9 + 9 = 18
answer: 18
length of a rectangle is 3 times its width. If the length is 9cm what is the area of the rectangle
Answer:
I think it's 27
because length is 3 times its width
I don't get this and need help.
is really "x", and oddly enough 66 is the 100%, and 33% of 66 is "x", so
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 60 & 100\\ 33& x \end{array} \implies \cfrac{60}{33}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{20}{11} ~~=~~ \cfrac{100}{x}\implies 20x=1100\implies x=\cfrac{1100}{20}\implies x=\stackrel{ \% }{55}\)
the smallest 2 place decimal that rounds up to 2.5 as the nearaeest tenth is what
Answer:
2.45
Step-by-step explanation:
..........................
A monkey ate 4 1/2 lbs of bananas a week. If it was fed the same amount daily, how much did it eat each day?
If someone could help me with this i would greatly appreciate it. A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 60% salt and Solution B is 85% salt. She wants to obtain 40 ounces of a mixture that is 70% salt. How many ounces of each solution should she use?
you divide 40 by 70. then get 1.75 then times 1.75 by A and B which would be 60 * 1.75 = 105 so that means she has 105 ounces for A and for B do the same thing, 85 * 1.75 = 148.75 for B. :D i would like brainliest plz this took a lot of my time (also stay safe!!!)
Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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Find measurement of x
Answer:
44
Step-by-step explanation:
The angle measuring x is an exterior angle of the triangle. Its remote interior angles are the angles measuring 14 deg and 30 deg.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
x = 14 + 30
x = 44
Answer:
x = 44°
Step-by-step explanation:
Given: Angle A, Angle C
Angle A + Angle C + Angle B = 180
14° + 30° + Angle B = 180°
44° + Angle B = 180°
Angle B = 180° - 44°
Angle B = 136°
Now,
Angle B + Angle x = 180°
136° + Angle x = 180°
Angle x = 180° - 136°
Angle x = 44°
Hope it helps!