Simplify the expression.
8.2 + 3.2y − 0.5(8y − 5)
Answers
Answer: − 0.8 y + 10.7
Step-by-step explanation:
Answer: -0.8y+10.7
Step-by-step explanation:
Multiply -0.5(8y-5), get -4y+2.5, then add 2.5+8.2=10.7, subtract 3.2y-4y, get -0.8y
Related Questions
Help!
The number of cookies that were made at a bakery for each of seven days is shown:
108, 96, 96, 84, 108, 240, and 84
The best measure of center for this data set is the-
A: median because all of the values are close to one another in value
B: mean because all of the values are close to one another in value
C: median because 240 is much higher than the other numbers in the data set
D: mean because 240 is much higher than the other numbers in the data set
Answers
The data set is as follows: 108, 96, 96, 84, 108, 240, and 84.
The median represents the middle value when the data set is arranged in ascending or descending order. In this case, when we arrange the data in ascending order, we have: 84, 84, 96, 96, 108, 108, 240. The middle value is 96, which is the fourth value in the sorted data set.
The mean is calculated by summing up all the values and dividing by the total number of values. In this case, the sum of the values is 756 (108 + 96 + 96 + 84 + 108 + 240 + 84), and there are seven values. Therefore, the mean is 756/7 = 108.
Comparing the options:
A: median because all of the values are close to one another in value - This is not accurate as the values vary, and the median is not necessarily the best measure of center based on the values being close to one another.
B: mean because all of the values are close to one another in value - This is not accurate as the values are not all close to one another, and the mean is not necessarily the best measure of center based on the values being close to one another.
C: median because 240 is much higher than the other numbers in the data set - This is not accurate as the presence of a single high value does not automatically make the median the best measure of center.
D: mean because 240 is much higher than the other numbers in the data set - This is the most accurate option. The mean takes into account the magnitude of each value and is influenced by extreme values. The value 240 has a significant impact on the mean, making it a better measure of center in this case.
Therefore, the best measure of center for this data set is D: mean because 240 is much higher than the other numbers in the data set.
The correct answer will get brainliest!
Find the 3 smallest positive x-intercepts of the graph of
y = cos(12x) + cos(16x) and list them in increasing order.
Please give your answers as a list of x-coordinates from least to greatest.
Answers
Recall that \(\cos(x)+\cos(y)=2\cos \left(\frac{x+y}{2} \right)\cos \left(\frac{x-y}{2} \right)\).
\(\cos(12x)+\cos(16x)=0 \\ \\ 2\cos(2x)\cos(14x)=0 \\ \\ \cos(2x)\cos(14x)=0\)
If \(\cos(2x)=0\), then \(x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \cdots\).
If \(\cos(14x)=0\), then \(x=\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}, \cdots\).
So, the three smallest positive \(x\) intercepts are \(\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}\).
Liz's age is two-thirds of Debbie's age. Debbie's age is half of Freya's age. what is the ratio of Liz's age to Freya's age?
Answers
Answer:
Let's start by using variables to represent the ages of the three people:
Let L be Liz's age.
Let D be Debbie's age.
Let F be Freya's age.
From the problem, we know that Liz's age is two-thirds of Debbie's age, so we can write:
L = (2/3)D
We also know that Debbie's age is half of Freya's age, so we can write:
D = (1/2)F
To find the ratio of Liz's age to Freya's age, we need to express Liz's age and Freya's age in terms of a common variable. Since we have an equation relating Debbie's age to Freya's age, we can use that as the common variable. From the equation D = (1/2)F, we can solve for F in terms of D:
F = 2D
Now we can substitute this expression for F into the equation for Liz's age:
L = (2/3)D = (2/3)(1/2)F = (1/3)F
So Liz's age is one-third of Freya's age. The ratio of Liz's age to Freya's age is therefore 1:3.
Referring to the figure, find the value of x
Answers
Answer:
you equate the given values to 180
Complete the following statement.
Zero pairs are two numbers that
___ to get zero.
A: subtract
B: multiply
C: divide
D: add
Answers
Answer:
multiply
Step-by-step explanation:
Answer:
B: multiply
Step-by-step explanation:
A college cafeteria is looking for a new dessert to offer its 5,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the scoops of ice cream the college will need?
The college will have about 1,800 students who prefer ice cream.
The college will have about 800 students who prefer ice cream.
The college will have about 600 students who prefer ice cream.
The college will have about 144 students who prefer ice cream.
I did C but I got it wrong so what is it?
Answers
To determine the best prediction about the number of students who prefer ice cream, let's analyze the data provided in the table. According to the table, out of the 225 surveyed students:
Ice Cream: 81 students
Candy: 9 students
Cake: 72 students
Pie: 36 students
Cookies: 27 students
To estimate the number of students who prefer ice cream among the 5,000 total students, we can use the proportions:
Ice Cream proportion = (Number of Ice Cream preference) / (Total surveyed students)
Ice Cream proportion = 81 / 225
To estimate the number of students who prefer ice cream among the 5,000 total students, we can multiply the Ice Cream proportion by the total number of students:
Estimated number of Ice Cream preferences = Ice Cream proportion * Total students
Estimated number of Ice Cream preference = (81 / 225) * 5000
Calculating the estimated number of students who prefer ice cream:
Estimated number of Ice Cream preference = (0.36) * 5000
Estimated number of Ice Cream preferences ≈ 1800
Therefore, the best prediction about the scoops of ice cream the college will need is:
The college will have about 1,800 students who prefer ice cream.
So, option A is the correct answer.
Answer: I think it’s option A
Step-by-step explanation:
Determine the exact equation given the following descriptions.
(write an equation for each letter choice. don't choose an answer)
a) Cubic function shifted right 4 units up 2 and through the point (2,18)
b) A square root family shifted left 2 and down 1 through the point (7,9)
c) A circle with a center of (-2, 7) and a radius of 12.
d) A circle with a center of (1, -4) and a radius of 3.
Answers
Answer:
In particular, we know f(0) = 1, f(2) = 3, f(4) = 3 and f(5) = 5. ... graph the function defined by the formula g(x) = f(x)+2. ... a function causes the graph to shift up or down, respectively. ... Owing to the square root, the domain of f is x ≥ 0, or [0,с). ... The rest of the points follow suit, and we connect them with the same basic shape ...
Step-by-step explanation:
Answer the following question in 3-4 complete sentences. Why is painting more often associated with art than any other media? What type of painting do you find most interesting? Why?
Answers
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answers
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
I need some help for this and the graph won’t let you use decimals as the answer. Tip: 1/3 = 0.3
.
Answers
Answer:
\(\large\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}6&2\\\cline{1-2}12&4\\\cline{1-2}18&6\\\cline{1-2}\end{array}\)
See attachment for the graph of the equation.
Step-by-step explanation:
Given equation:
\(y=\dfrac{1}{3}x\)
To complete the table, find the corresponding values of y by substituting each given value of x into the equation.
\(x=6 \implies y=\dfrac{1}{3}(6)=\dfrac{6}{3}=2\)
\(x=12 \implies y=\dfrac{1}{3}(12)=\dfrac{12}{3}=4\)
\(x=18 \implies y=\dfrac{1}{3}(18)=\dfrac{18}{3}=6\)
Therefore the completed table is:
\(\large\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}6&2\\\cline{1-2}12&4\\\cline{1-2}18&6\\\cline{1-2}\end{array}\)
To graph the equation, plot the ordered pairs on the given coordinate plane:
(6, 2)(12, 4)(18, 6)Draw a straight line through the points. (See attachment).
A baker makes 5 apple pies for every 3 blueberry pies. Last week the baker made 15 blueberry pies. How many apple pies did the baker make last week?
Apple Pies Blueberry Pies
5 3
? 15
Your answers:
3
15
25
30
Answers
Answer:
30 vehrbrhebrbrbebsbdbd
A right rectangular prism has a volume of 144 cubic meters. The prism is 8 meters long and 3 meters high. What is the width of the prism? A. 4 m B. 5 m C. 6 m D. 8 m
Answers
Answer:
The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
where
B is the area of the rectangular base
h is the height of the prism
In this problem we have
substitute and solve for B
-----> area of the rectangular base
therefore
The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to
Step-by-step explanation:
P=
500(1.035)"
The value, P, in dollars, of $500 invested in an account earning interest at a constant rate,
compounded annually, after n years is given by the equation shown above, assuming no
additional investments or withdrawals are made. What is the annual interest rate on the account,
in percent? (Ignore the % symbol when entering your answer. For example, if the answer is
11.2%, enter 11.2.)
Answer:
%
Answers
. The value, P, in dollars, of $500 invested in an account earning interest at a constant rate, compounded annually, after n years is given by the equation shown above, assuming no additional investments or withdrawals are made. What is the annual interest rate on the account, in percent?
Answer:
I got the same answer as the other person
Step-by-step explanation:
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
If a = 3n+4 and b = 7+9n^2, what is b in terms of a?
A) a^2 + 8a + 23
B) a^2 - 8a + 23
C) 9a^2 - 108a + 144
D) 9a^2 - 108a + 148
Answers
Answer: The answer is B
Step-by-step explanation:
a = 3n + 4
a - 4 = 3n
a - 4 = n
3
b = 7 + 9n^2 = 7 + 9 __(a - 4) ^2___ = 7 + 9 _(a - 4) ^2_____
3^2 9
= 7 + (a - 4)^2 = 7 + a^2 - 8a + 16
= a^2 - 8a + 23
first here get brainlist<333
so i dont get reported: (12-9) x 2 + 5²= ??????
A/ 31
B/ 34
C/ 16
D/ 0
Answers
A.) 31
Three flavors of juice are offered at a school cafeteria. The table shows the number of students who purchased each flavor during three lunch periods.
Based on the table, what is the probability that a student who bought juice chosen at random purchased the grape flavor?
Orange-51
Grape- 30
Cherry-69
A. 0.2
B. 0.25
C. 0.3
D. 0.33
Answers
Answer:
0.25
Step-by-step explanation:
Based on my knowledge of math sorry if its wrong
30 out of 150 is equal to 20%, therefore in decimals, the answer is .2
Jeremiah sees a maple tree and a pine tree in the forest. He knows that the pine tree is
21.65 feet tall. On a sunny day, the shadow of the pine is 4.1 feet long while the maple's shadow is 15.01 feet long. Estimate the height of the maple tree?
Answers
Answer:
78.052
21.65 ÷ 4.1 = 5.2 (2s.f.)
15.01 × 5.2 = 78.052
Answer:78.052
Step-by-step explanation:
21.65 ÷ 4.1 = 5.2 (2s.f.)
15.01 × 5.2 = 78.052
Carmen buys 2 glass beads and 4 metal beads for $ 1.90. How many metal beads if the crystal beads cost $ 0.25 each?
Answers
Answer:
35 cents each or 0.35
Step-by-step explanation:
The total area, in square feet, of a rectangular mural that has been extended by x feet is represented by 5.5(7.5 + x). Expand the expression using the Distributive Property. What do each of the terms in the equivalent expression tell you about the mural?
Answers
41.25 represents the original size of mural in square ft
5.5x represents the extension of the mural
PLS HURRY Which equation represents a proportional relationship?
A y = 1/2x
B y = 1/2x + 2
C y = 1/2x + 1
D y = 1/2x + 1/2
Answers
Answer:B IS CORRECT
Step-by-st
Please solve for the volume and surface area, Help this is due today!!!!!!!!!!!!!!!!
Answers
Answer:
volume = 240 cm^3
surface area = 184 cm^2
Step-by-step explanation:
the volume of a prism is b×h, the base of the prism is 10×6 which is 60, multiplied by the height of 4 gives you 240 cubed centimeters, or 240 cm^3.
the surface area is 184 because the base has an area of 60, the sides have an area of 50 each, and the triangles at the front and back have a surface area of 12 each. added all together, you get 184 cm^2.
Formulas for prisms:
Volume = base area x height
Surface area = sum of area of all faces
Volume = base area (area of triangular face) x height (length of rectangular face)
= (1/2 x 6cm x 4cm) x 10cm
= 120cm^3
Surface area = sum of area of all faces
= (10cm x 6cm) + (2 x 10cm x 5cm) + (2 x 1/2 x 6cm x 4cm)
= 184cm^2
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answers
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
Compare Use <, >, and =
A. >
B.<
C.=
(right answer gets brainliest)
Answers
Answer:
-8 > 7
Step-by-step explanation:
This is because absolute value of -8 is 8
-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)
Answers
Answer:
Option #4
Step-by-step explanation:
Expand option #4
=-3(1-2x)
=-3 -2x*-3
=-3+6x which is what your original equation was.
please help asap asap asap
Answers
Answer:14
Step-by-step explanation:
\(3 \times (4 + 6) - 16 = \)
\(3 \times (10) - 16 = \)
\(3 \times 10 - 16 = \)
\((3 \times 10) - 16 = \)
\(30 - 16 = \)
\(14\)
The numbers you need are on the picture--
Answers
Answer:
its 0.047
but for an extimation-
0.048
Step-by-step explanation:
The table shows the multiplication of two linear expressions. Select the correct reason for each step.
Reason 1:
Reason 2:
Reason 3:
Reason 4:
Answers
Answer:
Step-by-step explanation:
reason 1:
opening of brackets to solve the expression
reason 2:
in multiplication order is followed i.e. the number always lead the variable in the expression
reason 3:
for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable
reason 4:
the solved and simplified expression is delivered as a result
Answer needed (atleast by) 12:20-40pm
Answers
Answer:
2(139.4) + 5(12)(9) = 818.8 square mm
Answer this question please and thank you
Answers
Answer:
Guranteed 5th Grader / 6th
Step-by-step explanation:
8 1/7 / 4/7
Multiply 7 by and and add 1
57/7 / 4/7
Flip the 4/7 to 7/4
57/7 * 7/4
Do the rest
14 1/4