Erik read a total of 4 books over 2 months. After belonging to the book club for 17 months, how many books will Erik have read in all?
plss help me thank you!!
A 4:2 ratio can be simpified even more to a 2:1 ratio, which means by continuing the ratio you would get a 34 books in 17 months
Please help! will make brainliest and answer any question in return!!!!
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. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Answer:y = -2/3x + 490
Step-by-step explanation:
2x +3y = 1470
Slope intercept form definition: y = mx + b is the slope-intercept form of a line where m is the slope and b is the y-intercept.
2x + 3y = 1470
2x + 3y -2x = 1470 - 2x - Subtract 2x from both sides
3y = 1470 - 2x - Simplify
3y/3 = 1470/3 - 2x/3 - Divide both sides by 3
y = -2/3x + 490 - Simplify
-⅔ is the slope and 490 is the y-intercept
Step-by-step explanation:
Answer:
bknln
Step-by-step explanation:
Does anyone know how to do this?
Answer:
y= Ix-3I (that says absolute value btw)
Step-by-step explanation:
This is the result of starting with y = |x|, then shifting it three units to the right. Replacing x with x-3 moves the xy axis three units to the left, giving the illusion the V shaped curve moved 3 spots to the right.
We don't shift up or down since the vertex is on the x axis.
We also don't vertically compress or stretch the graph either.
Side note: the vertex for this graph is (3,0) which is the lowest point of the curve.
Type the number in standard form
4.21 x 10^4
Answer:
0.00042
Step-by-step explanation:
Plz help convert and show work plz!
1) 60 miles per hour to feet per second
2) 2.40 Euros per kilogram to dollars per pound (1 euro =
o = $1.42)
Answer:
1) 5280 feet/sec
2)$3.41
Step-by-step explanation:
60 miles is 316800 feet, divided by 60 which is 5280 feet/sec
2)2.4x1.42 is 3.41
To which of the following sets does the number 0 belong?
integers
rational
whole
irrational
natural
Answer:
integers, rational, whole
Step-by-step explanation:
Step-by-step explanation:
it is a rational,whole and integer tooooooo
Use your function rule to complete each statement. Type the correct answer in each box. Use numerals instead of words.
After 3.5 days, the height of the plant is ____ centimeters.
The height of the plant is 6.25 centimeters after ____ days.
Hii!
After 3.5 days, the height of the plant is 5.75 centimeters.
h = 0.5(3.5) + 4
h = 1.75 + 4
height = 5.75 cm after 3.5 days.
The height of the plant is 6.25 centimeters after 4.5 days.
6.25 = 0.5d + 4
6.25 - 4 = 0.5d - 4
2.25 = 0.5d
2.25/0.5 = 0.5d/0.5
4.5 = d
days = 4.5
Thus, the height of the plant is 6.25 centimeters after 4.5 days.
After 3.5 days, the height of the plant is 5.75 centimeters and the height of the plant is 6.25 centimeters after 4.5 days.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
The equation of the line is:
h = 0.5d + 4
After rewriting the function:
f(x) = 0.5x + 4
Plug x = 0
f(0) = 4 cm
f(1) = 4.5 cm
f(2) = 5 cm
f(3) = 5.5 cm
f(4) = 6 cm
f(5) = 6.5 cm
Plug x = 3.5 days
f(3.5) = 5.75 cm
Plug f(x) = 6.25
6.25 = 0.5x + 4
2.25 = 0.5x
x = 4.5 days
Thus, after 3.5 days, the height of the plant is 5.75 centimeters and the height of the plant is 6.25 centimeters after 4.5 days.
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structures on a bird feather act like a diffraction grating having 7000 lines per centimeter. what is the angle of the first-order maximum for 652 nm light shone through a feather?
To determine the angle of the first-order maximum for light with a wavelength of 652 nm passing through a bird feather acting as a diffraction grating, we need to apply the principles of diffraction and use the formula for calculating the angular position of diffraction maxima.
When light passes through a diffraction grating, such as the structures on a bird feather, it undergoes diffraction, resulting in the formation of interference patterns. The angle at which the maxima occur depends on the wavelength of light and the spacing between the diffracting elements.
Given that the bird feather acts as a diffraction grating with 7000 lines per centimeter, we can calculate the grating spacing (d) using the formula:
d = 1 / (number of lines per unit length),
d = 1 / (7000 lines/cm).
Next, we can calculate the angle of the first-order maximum using the formula for diffraction:
sinθ = mλ / d,
where θ is the angle, m is the order of the maximum (in this case, m = 1), λ is the wavelength of light, and d is the grating spacing.
In this case, we have the wavelength λ = 652 nm (or 6.52 x 10^-5 cm) and the grating spacing d calculated in the previous step.
Plugging in the values, we can solve for the angle θ using the equation:
sinθ = (1)(6.52 x 10^-5) / d.
By solving this equation, we can determine the angle of the first-order maximum for light with a wavelength of 652 nm passing through the bird feather acting as a diffraction grating.
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⚠️WILL GIVE BRAINLIEST⚠️
Answer:
The answer is D
Step-by-step explanation:
I solved this with graphing and got d trust me
pls mark brainliest
Four-thirds times the sum of a number and 8 is 24. What is the number?
.
Answer:
The number is 40
Step-by-step explanation:
Let m represent the number
Four-thirds = 4 ÷ 3
Sum of a number and 8 = m + 8
4/3(m + 8)= 24
4( m + 8) = 24 × 3
4m + 32 = 72
4m = 72 - 32
4m = 40
m = 40/4
m = 10
Solve for X. Please help ASAP! I have no idea how to do this and it’s due really soon!
Answer:
2
Step-by-step explanation:
5x+6=7x-2
5x+4=7x
4=2x
4/2
2
The solutions to p(x) = 0 are x = -7 and x = 7. Which quadratic
function could represent p?
The quadratic equation that represents the solution is F: p(x) = x² - 49.
What is quadratic function?The term "quadratic" refers to functions where the highest degree of the variable (in this example, x) is 2. A quadratic function's graph is a parabola, which, depending on the sign of the leading coefficient a, can either have a "U" shape or an inverted "U" shape.
Algebra, geometry, physics, engineering, and many other branches of mathematics and science all depend on quadratic functions. They are used to simulate a wide range of phenomena, including population dynamics, projectile motion, and optimisation issues.
Given that the solution of the quadratic function are x = -7 and x = 7 thus we have:
p(x) = (x + 7)(x - 7)
Solving the parentheses we have:
p(x) = x² - 7x + 7x - 49
Cancelling the same terms with opposite sign we have:
p(x) = x² - 49
Hence, the quadratic equation that represents the solution is F: p(x) = x² - 49.
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Theater productions: At a recent production of A Comedy of Errors, the Community Theater brought in a total of $30,495 in revenue. If adult tickets were $9 and children's tickets were $6.50, how many tickets of each type were sold if 3800 tickets in all were sold
To find out how many adult and children's tickets were sold at the Community Theater production of A Comedy of Errors, we can use the following system of equations:
Let x represent the number of adult tickets, and y represent the number of children's tickets.
1) x + y = 3800 (total tickets sold)
2) 9x + 6.5y = 30,495 (total revenue)
Step 1: Solve equation 1 for x or y. We can solve for x:
x = 3800 - y
Step 2: Substitute the expression for x from step 1 into equation 2:
9(3800 - y) + 6.5y = 30,495
Step 3: Simplify the equation and solve for y:
34,200 - 9y + 6.5y = 30,495
-2.5y = -3,705
y = 1,482
Step 4: Substitute the value of y back into the expression for x:
x = 3800 - 1,482
x = 2,318
So, 2,318 adult tickets and 1,482 children's tickets were sold at the Community Theater production of A Comedy of Errors.
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There would be 2314 adult tickets and 1486 children's tickets were sold.
Let X be the number of adult tickets sold, and Y be the number of children's tickets sold. We can write two equations based on the given information:
X + Y = 3800 (equation 1)
9X + 6.5Y = 30495 (equation 2)
Equation 1 represents the total number of tickets sold, and equation 2 represents the total revenue earned from the ticket sales.
To solve for X and Y, we can use the method of substitution. Rearranging equation 1, we get:
X = 3800 - Y
Substituting this expression for X into equation 2, we get:
9(3800 - Y) + 6.5Y = 30495
Expanding and simplifying, we get:
34200 - 9Y + 6.5Y = 30495
-2.5Y = -3715
Y = 1486
Substituting this value for Y into equation 1, we get:
X + 1486 = 3800
X = 2314
Therefore, 2314 adult tickets and 1486 children's tickets were sold.
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A = {1, 2, {3, 4}, {5, 6, 7} Select the statement that is true. Question 44 options: A. {1,2}∈a B. {3,4}⊆a C. {3}∈a D. {1,2}⊆a
B. {3,4}⊆A and D. {1,2}⊆A.
How to select the statement that is true for Set A?You provided the following statements:
A. {1,2}∈A
B. {3,4}⊆A
C. {3}∈A
D. {1,2}⊆A
Let's analyze each statement:
A. {1,2}∈A: This means {1,2} is an element of A. This is false, as 1 and 2 are individual elements, not a set.
B. {3,4}⊆A: This means {3,4} is a subset of A. This is true, as {3, 4} is an element of A.
C. {3}∈A: This means {3} is an element of A. This is false, as the set {3} is not present in A.
D. {1,2}⊆A: This means {1,2} is a subset of A. This is true, as both 1 and 2 are individual elements of A.
Therefore, your answer is: Select the statement that is true: B. {3,4}⊆A and D. {1,2}⊆A.
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which of the following is an example of an association claim? group of answer choices drinking alcohol increases cellular aging. 41% of people surveyed reported that they were having a good day. viewing a recent conflict as it would look one year in the future led to increased feelings of forgiveness. people who sit within two tables of the bartender have three more alcoholic drinks, on average, than those who sit three tables away.
The example of an association claim is "Drinking alcohol increases cellular aging."
Cellular ageing is the term used to describe the alterations that take place in cells throughout time, which result in a decrease in function and a higher risk of disease.
Numerous things, such as oxidative stress, inflammation, and cellular damage brought on by environmental pollutants, contribute to these alterations.
Cells lose their ability to operate as they become older, which can lead to a variety of age-related illnesses and ailments, such as cancer, cardiovascular disease, and neurodegeneration.
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I couldn’t find the answer throught brainly. Anyone know??
Answer:
240 would be your answer
Step-by-step explanation:
Answer:
I know an Edge quiz when I see one! Imao. The answer is 100% C. 240
Step-by-step explanation:
Have a nice day! I was just doing the volume lesson.
Solve the triangle. a = 4.31 m c=5.77 m B= 26.8° B. What is the length of side b? m (Simplify your answer. Type an integer or a decimal. Round to four d What is the measure of angle A? (Simplify your
To solve the triangle with side lengths a = 4.31 m, c = 5.77 m, and angle B = 26.8°, we can use the Law of Sines.
The Law of Sines states that for any triangle, the ratio of the length of a side to the sine of the angle opposite that side is constant.
We can use the Law of Sines to find the length of side b:
sin(B) / b = sin(A) / a
sin(26.8°) / b = sin(A) / 4.31
To find the length of side b, we rearrange the equation:
b = (sin(26.8°) * 4.31) / sin(A)
Now, we need to find angle A. Since the sum of angles in a triangle is 180°, we can find angle A using:
A = 180° - B - C
A = 180° - 26.8° - C
Now, we can substitute the given values into the equations:
A = 180° - 26.8° - 90°
A = 63.2°
Finally, we can substitute the values of angle A and side a into the equation to find the length of side b:
b = (sin(26.8°) * 4.31) / sin(63.2°)
b ≈ 2.78 m
Therefore, the length of side b is approximately 2.78 m and the measure of angle A is approximately 63.2°.
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if f(x)=1/9x-2, what is f^-1(x)?
Answer:
\(f^{-1}(x)\) will be equal to 9y+18
Step-by-step explanation:
\(f^{-1}(x)\) will be equal to 9y+18
You have 2500 ft.² of selling space you want to reserve at least 125 ft.² for each product category will carry 30% of the space will be used for isles how many categories can you carry
The most appropriate choice for percentage will be given by-
14 categories can be carried
What is Percentage?
Percentage is a ratio expressed as a percentage of 100.
Total area of selling space = \(2500 ft^2\)
Percentage of space used for isles = \(30\) %
Area of space used for isles = \(\frac{30}{100} \times 2500\)
= \(750 ft^2\)
Area of space left = \(2500 - 750\)
= \(1750 ft^2\)
Area of space reserved for each category = \(125 ft^2\)
No of categories = \(\frac{1750}{125}\)
= \(14\)
14 categories can be carried
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Y=x-3 fine the slope of each line
m = 1
Step-by-step explanation:Formula: y = mx + bSolutiony = x - 3
1. Determine the slope
Slope is m
So when y = x - 3, then the slope will be 1 because when a variable does not has a number before it, then it will multiplied by 1.
Helen and Stephen both simplify the exponential expression 4 ln21 3 e −
Stephen makes the mistake in the expression as he uses the 4 in the root and the 3 in the power and the expression actually is: ∛(16)/e
How to illustrate the information?We start with the expression:
exp( (4/3)*ln(2) - 1)
Here we can use that:
exp(ln(x)) = x.
and e^(a + b) = e^a*e^b.
the first step here is:
e^((4/3)*ln(2) - 1) = e^((4/3)*ln(2)*e^(-1)
So the first step of Stephen is correct, but the first step of Helen is not, you can not simplify the expression in that way.
now, we have that:
a*ln(x) = ln(x^a)
then we can write:
(4/3)*ln(2) = ln(2^(4/3))
and e^(ln(2^(4/3)) = 2^(4/3)
then we have:
e^((4/3)*ln(2)*e^(-1) = 2^(4/3)/e
now we can write this as:
∛(2^4)/e
Here is where Stephen makes the mistake, he uses the 4 in the root and the 3 in the power.
The expression actually is: ∛(16)/e
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Find the area of thisirregular figure.9 ft8 ft15 ft26 ft
The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.
The required area can be determined as,
\(\begin{gathered} A=A_t+A_r \\ =(\frac{1}{2}\times8\text{ ft}\times9\text{ ft)+(15 ft}\times26\text{ ft)} \\ =36ft^2+390ft^2 \\ =426ft^2 \end{gathered}\)Thus, the required area of the irregular figure is 426 square feet.
Calculus early transcendental functions. Need help showing the steps to get the correct answer
Answer:
c) -2
Explanation:
The limit required is the value of f(x) when we are going close to -2 but from the rigth of -2. We can see in the graph, that when we go to -2 from the right, the value of f(-2) approaches -2.
Therefore, the answer is C) -2.
purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?
The number of novels purchased was 9 novels.
Let the number of novels purchased be x and the number of magazines purchased be y.
Hence, \(x + y = 11.\)
Let the selling price of novels be a and that of magazines be b.
Therefore, \(ax + by = 20.\)
Similarly, given the price of magazines and novels as shown below:
\(a= 2\\b = 1\)
We can use the given equations above to find the number of novels purchased.
To find the value of x, we substitute the value of a and b into the equations,
\(ax + by = $20$2x + $1y \\= $20\)
We can also use the equation we found from \(x + y = 11,\) and solve for \(y:y = 11 - x\)
We can now substitute this value of y into the equation\(2x + 1y = 202x + 1(11 - x) \\= 201x \\=9x \\= 9 novels\)
Therefore, the number of novels purchased was 9 novels.
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Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.6 divided by the sum of 4 and a number
Let:
x = Unknown number
\(\frac{6}{x+4}\equiv6_{\text{ }}divided_{\text{ }}by_{\text{ }}the_{\text{ }}sum_{\text{ }}of_{\text{ }}4_{\text{ }}and_{\text{ }}a_{\text{ }}number\)Mary wants to hang a mirror in her room. The mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
x2 + 14x - 2 = 0
2x2 + 10x - 7 = 0
3x2 + 12x - 7 = 0
4x2 + 10x - 1 = 0
The correct quadratic equation that can be used to determine the thickness of the frame, x, is: 2x² + 10x - 7 = 0, Therefore Option B is the right answer
Here's how we can get this equation:
We are given that the mirror and frame together have an area of 7 square feet. The mirror itself has an area of 2 x 3 = 6 square feet. So, the area of the frame is 7 - 6 = 1 square foot.
Let's assume that the width of the frame is x feet. Then the overall width of the mirror and frame becomes 2 + 2x, and the overall length becomes 3 + 2x. The area of the mirror and frame can be expressed as:
(2 + 2x)(3 + 2x) = 6 + x(10 + 4x)
We know that this expression equals 7, so we can set it equal to 7 and obtain the quadratic equation:
2x² + 10x - 7 = 0
Therefore, the correct quadratic equation is 2x² + 10x - 7 = 0.
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81+80+79+22+72+78+82+
80+80+76 +87 +65 +29+82 +
80+79+81+21+77= X
X divided by 19 = 80
What does X equal
Answer:
X = 81 + 80 + 79 + 22 + 72 + 78 + 82 + 80 + 80 + 76 + 87 + 65 + 29 + 82 + 80 + 79 + 81 + 21 + 77
X = 1431
Then, we divide X by 19:
X divided by 19 = 1431 / 19 = 75
So, X equals 75.
A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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The ratio of daisies to roses is 2 daisies to 7 roses.
If there are 6 daisies, how many roses are there?
There are
roses.
The proportion is solved and the number of roses is R = 21
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
If the ratio of daisies to roses is 2:7, this means that for every 2 daisies, there are 7 roses.
If there are 6 daisies, we can use this ratio to find out how many roses there are.
2 daisies = 7 roses
On simplifying the proportion , we get
1 daisy = 7/2 roses (dividing both sides by 2)
So, if there are 6 daisies:
6 daisies = (7/2) x 6 = 21 roses
Hence , there are 21 roses
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. Find the volume of the given sphere.
Answer:
Step-by-step explanation:
Volume=4/3×πr³=4/3×π×6.5³=1098.5/3 ×π≈1150.35 km³