Mohammed, Isaac, Noah, and Felix solicited for boxes of donations for a community flea market. Mohammed collected 71?2 boxes, Isaac collected 81?3 boxes, Noah collected 43?4 boxes, and Felix collected 32?3 boxes. How many boxes did they collect in all? A. 251?3 B. 241?2 C. 241?4 D. 253?4
Answer:
Option C is the correct answer.
Explanation:
Boxes collected by Mohammed = [tex]7\frac{1}{2}[/tex]
Boxes collected by Isaac = [tex]8\frac{1}{3}[/tex]
Boxes collected by Noah = [tex]4\frac{3}{4}[/tex]
Boxes collected by Felix = [tex]3\frac{2}{3}[/tex]
Total boxes collected = [tex]7\frac{1}{2}+8\frac{1}{3}+4\frac{3}{4}+3\frac{2}{3}[/tex]
= [tex]\frac{15}{2}+\frac{25}{3}+\frac{19}{4}+\frac{11}{3}=\frac{36}{3} +\frac{49}{4} =\frac{97}{4}[/tex]
= [tex]24\frac{1}{4}[/tex]
Option C is the correct answer.
Is ABC DEF? If so, identify the similarity postulate or theorem that applies.
We are given traingle ABC and Triangle DEF.
Angle <A is congruent to Angle <D
Angle <B is congruent to Angle <E
Angle <C is congruent to Angle <F.
If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.
By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.
Therefore, option C is correct option.
C. Similar - AA.Answer:
Similar AA
Step-by-step explanation:
What is the answer and work too the equation 4x+9+3x=30
Steve had 4848 48 48 chocolates but decided to give 88 8 8 chocolates to each of his ff f f coworkers. How many chocolates does Steve have left?
Since the amount of coworkers would be the variable in this expression, the equation would be 48-8x
(X= number of coworkers)
Carlos graphed the system of equations that can be used to solve x^3 - 2x^2 + 5x - 6 = -4x^2 + 14x + 12
What are the roots of the polynomial equation?
–3, –2, 3
–3, 2
18, 32
18, 32, 66
Answer:
The roots are [tex]-3,-2,3[/tex]
Step-by-step explanation:
Let [tex]f(x)=x^3-2x^2+5x-6[/tex] and [tex]g(x)=-4x^2+14x+12[/tex].
The graph of the two functions are in the attachment.
The x-values of the points of intersection are the roots of the polynomial equation.
[tex]x^3-2x^2+5x-6=-4x^2+14x+12[/tex]
The roots are
[tex]-3,-2,3[/tex]
Answer:
-3,-2,3
Step-by-step explanation:
edge
I'd really appreciate if anyone helped! :)
Which set of ordered pairs represents a function?
A. (1, 2), (1, 3), (1, 4), (1, 5)
B. (4, 1), (3, 2), (3, 3), (1, 4)
C. (1, 6), (2, 2), (4, 7), (3, 2)
D. (1, 6), (3, 2), (4, 7), (3, 4)
In order for the data set to represent a function, there can be no duplicates of the first value.
A. 1 is used as the first value more than once it is NOT a function
B. 3 is used as the first value more than once it is NOT a function
C. no first number is used more than once it IS a function
D. 3 is used as the first value more than once it is NOT a function
Answer: C
Is y=3x+4; y2=6x+8 a one solution, infinitely many solution, or no solution problem
Answer:
Infinitely many.
Step-by-step explanation:
y = 3x + 4
2y = 6x + 8
Basically you would fill in the variable for y into the second equation.
2 (3x + 4) = 6x + 8
Multiply 2 by the part in the parenthesis.
2 * 3x = 6x
2 * 4 = 8
Set up the equation and solve
6x + 8 = 6x + 8
Because the sides are the same, they cancel each other out. When two sides equal the same variable they have infinitely many solutions.
Please help asap 28 pts
Which function passes through the points (2, 15) and (3, 26)? A. y = 11x + 7 B. y = 11x − 7 C. y = 7x + 11 D. y = -11x − 7 E. y = 7x − 11
Answer:
B is the correct answer.
The function that passes through the points (2, 15) and (3, 26) is B) y = 11x - 7.
Explanation:To find the function that passes through the points (2, 15) and (3, 26), we can use the point-slope form of a linear equation, y - y1 = m(x - x1). Using the first point (2, 15), we can substitute the values into the equation and solve for the slope, m. Then, we can use the slope to find the y-intercept, b, by substituting the values of a point into the slope-intercept form of a linear equation, y = mx + b.The function that passes through the given points is B) y = 11x - 7.
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What is the correct word name for the given decimal 5.89
Find the median of the data set 3 35 23 37 45 5 49 27 48
median = 35
the median is the middle entry of the data arranged in ascending order
rearranging the data in ascending order
3 5 23 27 35 37 45 48 49
the middle value = 35 ← median
Nine less than a number n n is written as
"Less than" means subtraction
The order they appear in tells me to subtract 9 from N.
n - 9
Writing a Polynomial Function Given a y-Intercept:
Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5).
Describe the steps for writing the equation of this cubic polynomial function.
We are given
a cubic polynomial function has the same zeroes
Let's assume that zeros as 'a'
so, we can write it as
[tex]f(x)=(x-a)^3[/tex]
now, we are given y-intercept
(0,-5)
at x=0 , y=-5
we can use it and then find 'a'
[tex]-5=(0-a)^3[/tex]
[tex]a=\sqrt[3]{5}[/tex]
now, we can plug it
and we get
[tex]f(x)=(x-\sqrt[3]{5})^3[/tex]..................Answer
Answer:
Use the zeroes to determine the roots.
Write the polynomial as a product of the leading coefficient, a, and the factors, where each factor is x minus a root.
Use the y-intercept (0, –5) to solve for the leading coefficient.
Substitute the leading coefficient into the polynomial function for a and simplify.
Step-by-step explanation:
John is 24 years old. Two years ago, he was twice Shane's age at that time. How old is Shane now?
Answer:
Present age of john= 24 years
Let Shane's age= x years
Two years ago
John's age = 24-2= 22 years
Shane's age = (x-2) years
Writing in terms of equation,to the above statements
⇒22= 2(x-2)
⇒22= 2 x- 4
⇒22+4 = 2 x
⇒ 2 x= 26
⇒ x= 26÷2
⇒ x =13
Present age of son = 13 years
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
The graph shows the solution to which system of equations?
A) y = x + 2 and y = -x - 4
B) y = 3x + 7 and y = x + 12
C) y = 2x - 3 and y = −2x + 1
D) y = -x + 4 and y = −2x + 5
What is four and one over five divided bye one and two overfive
Sierra drives for h hours at a rate of 2x miles per hour. Which expression shows the distance that she drives after h hours
Answer:
Distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh
Explanation:
Distance traveled by a body = Velocity of the body * Time taken by the body
Here velocity of Sierra = 2x miles per hour
Time taken by Sierra = h hours.
Distance traveled by Sierra = 2x * h = 2xh
So distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh
A store buys a jacket for $20.00 then sells it to customers 80% more than that what is he selling price of the jacket
The selling price of the jacket, after the store increases its purchasing price by 80%, is $36.
Explanation:The subject of this question is mathematics, specifically a practical application of percentages. The store buys the jacket for $20 and then increases the sale price by 80% for its customers. First, to calculate the 80% of the cost price, you multiply 20 (the cost price) by 0.80 (the percentage increase represented as a decimal). This results in $16. The selling price is then calculated by adding this calculated value to the original cost price which gives us $20 + $16 = $36. So, the store sells the jacket for $36.
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Natasha owes her parents $12 on monday she gives them $7. On tuesday, she gives them 5. How much money does natasha now owe her parents?
I'd really appreciate it if anyone helped! :)
Which statement best explains why y=4−6x is a function?
It is a linear equation.
The solutions to the equation can be written as ordered pairs.
The slope is a factor of the y-intercept.
Each x value has one and only one y value.
D, Each x value has one and only one y value.; This is because if an x-value repeats itself then it is not a function. You can test this on a graph by drawing a vertical line on it. If the vertical line intercepts the line more than once anywhere on the graph, then it is not a function.
Answer:
Each x value has one and only one y value.
Step-by-step explanation:
y = f(x) can be called a function if, and only if
f(a) = f(b) means that a = b.
That is, each x value has one and only one y value.
y = 4 - 6x
f(a) = f(b)
4 - 6a = 4 - 6b
6b = 6a
b = a
So the correct answer is:
Each x value has one and only one y value.
What is the slope of the line shown below?
answer B or 1/6 should be right.
Answer: The correct option is
(B) [tex]\dfrac{1}{6}.[/tex]
Step-by-step explanation: We are given to find the slope of the straight line shown in the graph.
From the graph, we see that the line passes through the points (-6, 3) and (12, 6).
The SLOPE of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the given line is
[tex]m=\dfrac{6-3}{12-(-6)}=\dfrac{3}{12+6}=\dfrac{3}{18}=\dfrac{1}{6}.[/tex]
Thus, the slope of the given line is [tex]\dfrac{1}{6}.[/tex]
Option (B) is CORRECT.
What operations are needed to solve this word problem? Joe has 8 Dalmatians. Sarah has 3 fewer Dalmatians than Joe. How many Dalmatians do they have together?
Final answer:
To solve the word problem, subtract 3 from 8 to find the number of Dalmatians Sarah has, then add that number to Joe's 8 Dalmatians to determine the total number of Dalmatians they have together, which is 13.
Explanation:
To solve the word problem presented, we need to perform two primary operations: subtraction and addition. Joe has 8 Dalmatians, and Sarah has 3 fewer Dalmatians than Joe.
First, we determine how many Dalmatians Sarah has by subtracting 3 from 8. Once we know how many Dalmatians Sarah has, we add that number to Joe's 8 Dalmatians to find out the total number they have together.
Step 1: Calculate the number of Dalmatians Sarah has.
Sarah's Dalmatians = Joe's Dalmatians - 3
Sarah's Dalmatians = 8 - 3
Sarah's Dalmatians = 5
Step 2: Calculate the total number of Dalmatians they have together.
Total Dalmatians = Joe's Dalmatians + Sarah's Dalmatians
Total Dalmatians = 8 + 5
Total Dalmatians = 13
Therefore, Joe and Sarah have a total of 13 Dalmatians together.
Students were asked to rank their preferences for watching the following sports: baseball, football, soccer, volleyball, hockey, and softball. How many different rankings are possible?
A.
720
B.
36
C.
6
D.
46,656
Which ordered pairs are solutions to the inequality 2y−x≤−6 ?
Select each correct answer.
(−3, 0)
(6, 1)
(1, −4)
(0, −3)
(2, −2)
To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, substitute the x and y values of each ordered pair into the inequality and check if it is satisfied.
Explanation:To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, we substitute the x and y values of each ordered pair into the inequality and check if the inequality is satisfied:
For the ordered pair (-3, 0): 2(0) - (-3) ≤ -6 → 0 + 3 ≤ -6 → 3 ≤ -6 (not satisfied)For the ordered pair (6, 1): 2(1) - 6 ≤ -6 → 2 - 6 ≤ -6 → -4 ≤ -6 (satisfied)For the ordered pair (1, -4): 2(-4) - 1 ≤ -6 → -8 - 1 ≤ -6 → -9 ≤ -6 (not satisfied)For the ordered pair (0, -3): 2(-3) - 0 ≤ -6 → -6 - 0 ≤ -6 → -6 ≤ -6 (satisfied)For the ordered pair (2, -2): 2(-2) - 2 ≤ -6 → -4 - 2 ≤ -6 → -6 ≤ -6 (satisfied)Therefore, the correct answers are (6, 1), (0, -3), and (2, -2).
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There are 144 people in line. There are twice as many adults as children in line .How many children in line and how many adults are in line?
48 children and 96 adults
let x be the number of children then number of adults = 2x and
x + 2x = 144
3x = 144 ( divide both sides by 3 )
x = [tex]\frac{144}{3}[/tex] = 48
There are 48 children and ( 2 × 48 ) = 96 adults
There are 48 children and 96 adults in line.
Explanation:To find how many children and adults are in line, we can use algebraic equations and solve for each variable. Let's assume the number of children in line is x. Since there are twice as many adults as children, the number of adults in line would be 2x. According to the given information, the total number of people in line is 144. Therefore, we can set up the equation x + 2x = 144. Simplifying the equation, we get 3x = 144. Dividing both sides by 3, we find x = 48. So, there are 48 children and 2 * 48 = 96 adults in line.
What number multiplied by itself 2 times equals 1/100
What is 3.106 x 10 in the 6th power written in standard form
An artist wants to frame a square painting with an area of 400 square inches if x is the length of the one side of the painting what equation ca you set up to find the length of a side how many solutions does the equation have?
There is only one solution to the equation. A quadratic equation has 2 solutions a positive and a negative, but since we are looking for length, the answer can only be postive. Area= side^2
400= x^2
sqrt(400)=x
20 inches = x
The length of one side is 20 inches
check: 20*20 = 400, which is the area of the square painting.
A line segment whose endpoints are (4,2) and (3,7) is translated to the right 5 units and up one unit. Which of the following matrix sums represents this translation?
5 units right: x + 5
1 unit up: y + 1
(x, y) → (x + 5, y + 1)
(4, 2) → (4 + 5, 2 + 1) = (9, 3)
(3, 7) → (3 + 5, 7 + 1) = (8, 8)
[tex]\begin{array}{ccc}\ \ x&y\end{array}\ \ \ \ \begin{array}{ccc}\ \ x&y\end{array}\\\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right]=\left[\begin{array}{ccc}9&3\\8&8\end{array}\right][/tex]
Answer:
[tex]\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right][/tex]
If m ∡2 = 138°, find m ∡1, m ∡4, and m ∡3