Answer:
Part 1) [tex]1\frac{5}{6}\ ft[/tex]
Part 2) [tex]10\frac{2}{3}\ bags[/tex]
Step-by-step explanation:
Part 1)
step 1
Convert mixed number to an improper fraction
[tex]5\frac{1}{2}\ ft=\frac{5*2+1}{2}=\frac{11}{2}\ ft[/tex]
step 2
Divided the improper fraction by 3
[tex]\frac{(11/2)}{3}=\frac{11}{6}\ ft[/tex]
step 3
Convert to mixed number
[tex]\frac{11}{6}=\frac{6}{6}+\frac{5}{6}=1\frac{5}{6}\ ft[/tex]
Part 2)
step 1
Convert mixed number to an improper fractions
[tex]4\frac{1}{6}\ cups\ popcorn=\frac{4*6+1}{6}=\frac{25}{6}\ cups\ popcorn[/tex]
[tex]3\frac{5}{6}\ cups\ pretzels=\frac{3*6+5}{6}=\frac{23}{6}\ cups\ pretzels[/tex]
step 2
Adds the two quantities
[tex]\frac{25}{6}+\frac{23}{6}=\frac{48}{6}=8\ cups[/tex]
step 3
Divide the total cups by 3/4 to find the number of bags
so
[tex]\frac{8}{(3/4)}=\frac{32}{3}\ bags[/tex]
step 4
Convert to mixed number
[tex]\frac{32}{3}\ bags=\frac{30}{3}+\frac{2}{3}=10+\frac{2}{3}=10\frac{2}{3}\ bags[/tex]
Help pleaseee! Relationships within triangles posttest
It’s 88 cause if you see in the other side is 44+44 and what does That Equal =88
m–[(m–n)÷(−2)](−5), if m=−4, n=−6
[tex] - 4 - (( - 4 + 6) \div ( - 2))( - 5) = \\ = - 4 - (2 \div ( - 2))( - 5) = \\ = - 4 - ( - 1)( - 5) = - 4 - 5 = \\ = - 9[/tex]
The answer is M-5
Step-by-step explanation:See the image
!two step equations!
n/-2 +4=10 what does "n" equal
plz explain the answer ! thank you have a great day
Answer:
n = - 12
Step-by-step explanation:
Isolate the term in n by subtracting 4 from both sides
[tex]\frac{n}{-2}[/tex] = 6 ( multiply both sides by - 2 )
n = 6 × - 2 = - 12
Ray's Car Wash received $25 for washing 5 cars. How much money does Ray's Car Wash earn per car?
Answer:
$5
Step-by-step explanation:
25/5=5
$5
Wouldn’t it be 5$ a person to pay for a car wash? Because if you think of it this way they made 25$ and it cost 5$ so you would take 25 divided by five . Please correct me if I’m wrong
Pls help being timed and I don’t understand
Answer:
f ( -2 ) = 30
g ( -2 ) = 3
Step-by-step explanation:
when it says f(x) and then has f(-2) - you fill in all x's in the equation with -2.. like this:
f(x) = -7(-2-2) +2 g(x) = 2(-2)^2 -5
f(x) = -7(-4) +2 g(x) = 2(4) -5
f(x) = 28 + 2 g(x) = 8 - 5
f(x) = 30 g(x) = 3
hope this helps!!
WOW 30 POINTS, ANDDD BRAINLIEST, YOU SHOULD ANSWER THIS QUESTION!!! >:o)
Roxanne wants to decide which one of two pair of shoes she
should wear to a party.
Clayton wants to take one of his five kids with him to the
supermarket.
At a class picnic, the teacher wants to decide which game to
play: baseball, basketball, tennis, volleyball, soccer, or field hockey.
Cleo wants to select a shirt from a collection of 13 shirts.
Match each event to the simulation that has exactly the same ratio.
selecting a card from the spades suit.
rolling a six-sided die.
flipping a coin.
spinning a spinner divided into five equal sections.
Answer:
Cleo wants to select a shirt from a collection of 13 shirts. 1/13
selecting a card from the spades suit.
rolling a six-sided die.
At a class picnic, the teacher wants to decide which game to
play: baseball, basketball, tennis, volleyball, soccer, or field hockey.
flipping a coin.
Roxanne wants to decide which one of two pair of shoes she
should wear to a party
spinning a spinner divided into five equal sections.
Clayton wants to take one of his five kids with him to the
supermarket.
Step-by-step explanation:
Roxanne wants to decide which one of two pair of shoes she
should wear to a party. 1/2
Clayton wants to take one of his five kids with him to the
supermarket. 1/5
At a class picnic, the teacher wants to decide which game to
play: baseball, basketball, tennis, volleyball, soccer, or field hockey.
1/6
Cleo wants to select a shirt from a collection of 13 shirts. 1/13
selecting a card from the spades suit.
There are 13 cards in a suit so 1/13
rolling a six-sided die.
1/6
flipping a coin.
two sides on a coin
1/2
spinning a spinner divided into five equal sections.
1/5
Card from spades suit--->Cleo with 13 shirts
6 sided die-----> Class picnic
Flipping a coin---->Roxanne with party shoes
spinning spinner with 5 sections---> Cleo takes one of his kids to the supermarket
To weigh your suitcase, you hold it while you step on the scale. By yourself, you weigh 120.5 pounds. Holding your suitcase, you weigh 153.3 pounds. How much does your suitcase weigh?
Answer:
32.8
Step-by-step explanation:
153.30-125.50
153.3-120.5=33.8 This is how you get the answer
the length and width of a rectangle are consecutive even integers. the area of the rectangle is 120 square units. what are the length and width of the rectangle
The length and width of the rectangle is 12 and 10 respectively.
Let the consecutive integers be :
a ; a+2Area of rectangle = Length × width
120 = a(a + 2)
120 = a² + 2a
a² + 2a - 120 = 0
a² - 10a + 12a + 120 = 0
a(a - 10) + 12(a - 10)
a = 10 or a = -12
The width cannot be negative, Hence, width = 10
Length = a + 2
Length = 10 + 2
Length = 12
The length and width of the rectangle is 12 and 10 respectively.
How many unique ways are there to arrange the letters in the word SONG
Words you can make with the word SONG:
Snog
Nogs
which of the following is the solution to |10x|>-2
Let's reason through it.
We are given the inequality that says, in English, that the absolute value of ten times x is greater than -2.
Let's consider three cases:
x is negative
- When x is negative the number in the absolute value will be negative. But because it is inside the absolute value, the number becomes positive. Therefore, for any x that is negative (however small or large), the left side will be positive. Any positive value (however small) is greater than a negative value, so the inequality is satisfied in this case.
x is positive
- When x is positive, the number inside the absolute value will be positive. The absolute value of a positive number is itself, so the left hand side will be positive again. Then, for all positive values of x (however small or large), the inequality will be satisfied because any positive value is larger than -2.
x is zero
- Even in the case of zero, when the left hand side will be zero, the equality is satisfied. This is because zero is greater than -2. If this doesn't immediately make sense, imagine the two numbers on the number line. 0 is to the right of -2, so it is larger.
Since we cannot find a value for x that does not satisfy the inequality, the solution to the inequality is all values of x. See the attached image.
Answer:
All values are solutions
Step-by-step explanation:
Chad’s rectangle measures 4 1/3 units by 3 1/4 units. What is the area?
Answer: 13 1/3
Step-by-step explanation:
To find the area of a rectangle, multiply the length by the width.
Which expression would provide the measure of angle N?
A) tan (7/6)
B) tan (6/7)
C) tan -1(7/6)
D) tan -1(6/7)
Answer:
[tex]N = { \tan }^{ - 1} \frac{6}{7} [/tex]
The correct answer is D.
which figure has the longer perimeter and how much longer is it
Answer:
they are equal
Step-by-step explanation:
rectangle- 8 + 8 = 16
2 + 2 =4
rectangles perimeter is 20
square 5 X 4 = 20
sqaures perimeter is 20
Answer:
The rectangular shape has a perimeter of 18 cm. The square shape has a perimeter of 20 cm. The square perimeter is larger by 2 cm.
Step-by-step explanation:
Aisha has 45 books to place on a bookcase. She is told to place the same number of books on each of the 5 shelves. How many books should she place on each shelf ?
Answer: The correct answer is 9.
Step-by-step explanation: In order to solve this problem you need to divide the 45 books by the 5 book shelves. 45 / 5 = 9. Divided equally, there will be 9 books on each shelf.
[tex]45 \div 5 = 9[/tex]
Aisha can place 9 books on each shelf.
What is sqrt 25x^2y^2/sqrt xy in simplest form?
Answer:
what is √25x^2y^2/√xy in simplest from? Assume x≥o and y≥0
The correct answer to this question is 5√xy
Step-by-step explanation:
The given expression in its simplest form is [tex]5 \sqrt{xy}[/tex]
From the question,
We are to evaluate sqrt 25x^2y^2/sqrt xy in its simplest form.
First, we will write the given expression properly
The given expression is
[tex]\frac{\sqrt{25x^{2} y^{2} } }{\sqrt{xy} }[/tex]
Now, the expression can be evaluated as shown below
[tex]\frac{\sqrt{25x^{2} y^{2} } }{\sqrt{xy} }[/tex]
[tex]\frac{\sqrt{25 } \times \sqrt{x^{2} y^{2}} }{\sqrt{xy} }[/tex]
This becomes
[tex]\frac{5 \times xy }{\sqrt{xy} }[/tex]
This becomes
[tex]\frac{5 \times xy}{(xy)^{\frac{1}{2} } }[/tex]
This can be written as
[tex]5 \times xy \div (xy)^{\frac{1}{2} }[/tex]
By applying one of the laws of indices
We get,
[tex]5 \times (xy)^{1-\frac{1}{2} }[/tex]
[tex]5 \times (xy)^{\frac{1}{2} }[/tex]
[tex]5 \times \sqrt{xy}[/tex]
[tex]5 \sqrt{xy}[/tex]
Hence, the given expression in its simplest form is [tex]5 \sqrt{xy}[/tex]
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What is the value of b in the equation below?
I'm not 100% but i think its A: 3
For this case we have that by definition of power properties:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
We have the following expression:
[tex]\frac {5 ^ 6} {5 ^ 2} = a ^ b[/tex]
It can be rewritten as:
So:
[tex]\frac {5 ^ 6} {5 ^ 2} = 5 ^ {6-2} = 5 ^ {4} = a ^ b[/tex]
So, [tex]b = 4\ and\ a = 5[/tex]
Answer:
Option B
dry cleaning bill is shown by y equals 1.50 x + 4.50 y is the total cost and x is the number of shirts graph this equation
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
y------> the total cost
x------> the number of shirts
we know that
The linear equation is
[tex]y=1.50x+4.50[/tex] ------> equation of the line
To graph the line find the intercepts
The y-intercept is the value of y when the value of x is equal to zero
The x-intercept is the value of x when the value of y is equal to zero
Find the y-intercept
For x=0
[tex]y=1.50(0)+4.50=4.50[/tex]
The y-intercept is the point (0,4.50)
Find the x-intercept
For y=0
[tex]0=1.50x+4.50[/tex]
[tex]1.50x=-4.50[/tex]
[tex]x=-4.50/1.50=-3[/tex]
The x-intercept is the point (-3,0)
Plot the intercepts to graph the line
see the attached figure
PLEASE HELP ME!!! I REALLY need it!
Answer:
Step-by-step explanation:
The correct answer is B. The reason why is that you want the total number of floors traveled, so putting each number in an absolute value equation puts it as a positive value. 9 + 12 + 5 + 8 = 34 total floors traveled. Hope that helps.
Which function is shown on the graph?
ANSWER
The correct choice is C.
EXPLANATION
The given graph has vertical asymptote at x=1.
Therefore , the denominator of the function represented by the graph should be 1-x
The graph also has a horizontal asymptote at y=-6. The numerator should be of the form
b+6x,
where b is a constant.
So that the horizontal asymptote will be
[tex]y = \frac{6}{ - 1} = - 6[/tex]
Our rational function now becomes
[tex]y = \frac{b + 6x}{1 - x} [/tex]
The function also has a y-intercept of 3,
[tex]3 = \frac{b + 6(0)}{1 - 0} = b[/tex]
Therefore the required function is
[tex]y = \frac{3 + 6x}{1 - x} [/tex]
PLEASE HELP. Prove that the value of the expression: b (36^5−6^9)(38^9−38^8) is divisible by 30 and 37.
By factoring out and simplifying, we can see that given expression is divisible by both 30 and 37.
Explanation:The method for solving this question involves using certain properties of numbers and exponents. Firstly, observe the expressions (36^5-6^9) and (38^9-38^8). You can factor out 6^5 from the first expression and 38^8 from the second expression, giving you 6^5(6^4-1) and 38^8(38-1) respectively.
You will notice that 6^4-1 is 1295 and 38-1 is 37. Both 1295 and 37 are divisible by 37, rendering the whole expression divisible by 37. Moreover, 1295 is divisible by 5 and 6^1 is divisible by 6, making the expression divisible by 5*6 = 30.
Therefore, the whole expression is divisible by both 30 and 37.
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To prove the divisibility of the expression, we factor and simplify it. The expression is divisible by both 30 and 37 due to its factors.
Explanation:To prove that the value of the expression b(36^5 - 6^9)(38^9 - 38^8) is divisible by 30 and 37, we can factor out 6 from both terms in each parenthesis.
This gives us b(6^4)(6^9 - 1)(38^8)(38 - 1).
Next, we divide each term by 6, giving us b(6^3)(6^9 - 1)(38^8)(38 - 1)/6.
We can simplify this expression further by factoring out 2 from both terms in the first parentheses, giving us 2^3b(6^6)(6^3 - 1)(38^8)(38 - 1)/6.
Now we can see that the expression is divisible by both 30 and 37, since it contains factors of 2, 3, 5, and 37.
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Carrie started a 12 ounces of water when finish drinking she had 2 1/4 how much did she srink
Answer:
She drank 12 ounces so, 12 minus 2 1/4 = 9 3/4 ounces of water.
Step-by-step explanation:
How many triangles can you make with straws the lengths 2,1,2 inches
Answer:
You can't make any triangle
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
so
In this problem
[tex]2+1>2[/tex]
[tex]3>2[/tex] -----> is not true
therefore
You can't make any triangle.
Which function represents the sequence?
11
Question 11 options:
f(n)=n+3
f(n)=7n−4
f(n)=3n+7
f(n)=n+7
Answer: SECOND OPTION
Step-by-step explanation:
Substitute any value of n shown in the table attached into each function given in the options, and observe if you obtain the value of [tex]a_n[/tex] shown in the table.
Let's substitute n=1 (According to the table, you need to obtain [tex]a_n=3[/tex]):
For the first option:
[tex]f(1)=1+3=4[/tex]
For the second option:
[tex]f(1)=7(1)-4=3[/tex] THIS IS THE FUNCTION
For the third option:
[tex]f(1)=3(1)+7=10[/tex]
For the fourth option:
[tex]f(1)=1+7=8[/tex]
Therefore, the answer is the second option.
ANSWER
[tex]f(n) = 7n - 4[/tex]
EXPLANATION
The terms of the sequence are;
[tex]3,10,17,24,31,...[/tex]
This implies that,
[tex]a_1=3[/tex]
The constant difference is
[tex]d = 10 - 3 = 7[/tex]
The nth term of the sequence is;
[tex]a_n=a_1+d(n-1)[/tex]
[tex]a_n=3+7(n-1)[/tex]
[tex]a_n=3+7n - 7[/tex]
[tex]a_n=7n-4[/tex]
Or
[tex]f(n) = 7n - 4[/tex]
The correct choice is B.
When developing a plan for a proof, it is important to look at the "given" information. True False
Answer:
Yeah true
Step-by-step explanation:
Because it makes sense
It is true that when developing a proof, focusing on the "given" information is crucial as it forms the foundation of the logical argument leading to the conclusion that needs to be proven.
When developing a plan for a proof, it is indeed important to look at the "given" information. This is true because in the context of mathematical proofs, the "given" information represents the starting point from which you will build you argument to reach a conclusion. These are the facts, definitions, or previously proven theorems that can be used in establishing the validity of the statement you are tasked to prove.
To develop a successful proof, one generally follows a systematic approach:
Identify the given information in the problem.Analyze what the problem is asking you to find or prove.Consider what principles, theorems, or rules apply based on the given information.Develop a logical sequence of steps that connects the given information to the conclusion you are trying to reach.This structured approach to problem-solving involves using what you know to logically arrive at a conclusion that was previously unknown or needs to be proven. This method not only applies to mathematics but also to other fields that require logical reasoning and evidence-based conclusions.
HELP ASAP!! GIVING BRAINLIEST!
ABC goes through a sequence of transformations to form A’B’C’. The sequence of transformations involved is a:
A) rotation 180 degrees counterclockwise about the origin
B) translation 2 units to the right
C) translation 4 units to the left
D) reflection across the line y=x
followed by a:
A) reflection across the x-axis
B) reflection across the y-axis
C) rotation 90 degrees clockwise about the origin
D) translation 4 units to the right
Answer:
B) translation 2 units to the right
B) reflection across the y-axis
Step-by-step explanation:
If you move ABCD over to the right by 2, then reflect it over the y axis. Then you get the A'BCD.
ABC goes through a sequence of transformations to form A'B'C'. The sequence of transformations involved are
B) translation 2 units to the right and followed by a
B) reflection across the y-axis
This can be explained by using the graph and the definition of transformation
Transformations:Transformations are changes done in the shapes on a coordinate plane There are four types of transformations. They are translation, rotation, reflection, and dilationThe translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirror image of the function, and dilation is the scaling of a functionThe translation, rotation, and reflection are called rigid transformations wherein the image is congruent to its pre-image. These are isometric transformationsDilation stretches or shrinks the pre-image i.e., expands or contracts the shape. It is non-isometric.The sequence of transformations involved:From all the information given above, it came to know that the sequence of transformations involved in transforming ABC to A'B'C' is translation and reflection.ABC is translated by 2 units to the right, it is shown in the graphAnd followed by a reflection across the y-axisThere is no rotation happenedThus, from the graph it is clear that the sequence of transformations involved is B) translation by 2 units to the right and followed by a B) reflection across the y-axis.
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If g=26.4 and f=35 degrees, find h. round to the nearest tenth
Answer:
Option b. [tex]h=21.6\ units[/tex]
Step-by-step explanation:
we know that
In the right triangle FGH
The function cosine of angle F is equal to divide the adjacent side angle F by the hypotenuse
[tex]cos(F)=\frac{FG}{FH}[/tex]
substitute the values and solve for h
[tex]cos(35\°)=\frac{h}{26.4}[/tex]
[tex]h=(26.4)cos(35\°)=21.6\ units[/tex]
Five people each write a positive integer on a piece of paper. If the average of these five integers is 8, what is the greatest possible value of one of these integers?
A. 36
B. 38
C. 39
D. 40
Answer:
Option D. [tex]40[/tex]
Step-by-step explanation:
Let
x------>the greatest possible value
we know that
If four people write the number zero, then the average will be
[tex]8=(0+0+0+0+x)/5\\ \\40=0+x\\ \\x=40[/tex]
Answer: 36
Step-by-step explanation:
PLEASE HELP WITH THIS QUESTION
Hans chocolate bar is 36% cocoa if the weight of the chocolate bar is 94 grams how many grams of cocoa does it contain
Answer:
33 grams
Step-by-step explanation:
We multiply the total weight of the choco. bar (94 grams) by 0.36 to obtain the number of grams of cocoa present:
0.36(94 grams) = 33.04 grams.
The bar contains 33.04 grams of cocoa. Round this up to 33 grams.
Answer: 33.84 gr
Step-by-step explanation:
You have the following information given in the problem:
- Hans chocolate bar is 36% cocoa.
- The chocolate bar weighs 94 grams.
Therefore, to calculate the amount of grams of cocoa it contains (which you can call x), you must multiply the weight of the chocolate bar by the percentafe of cocoa it has
Therefore, you obtain the following result:
[tex]x=94gr*0.36\\x=33.84gr[/tex]
What is the standard form equation of the line shown below?