The fraction after solving and simplifying the mixed fraction 5 3/4 ÷ 1 1/2 is 23 / 6.
What is the mixed fraction?A mixed fraction is a fraction that is created by fusing a fraction with a whole number. For instance, 8 1 / 2 is a mixed fraction if 8 is a whole number and 1/2 is a fraction.
Given:
5 3/4 ÷ 1 1/2
Solve the mixed fraction into improper fractions as shown below,
5 × 4 + 3 / 4 ÷ 1 × 2 + 1 / 2
20 + 3 / 4 ÷ 2 + 1 / 2
23 / 4 ÷ 3 / 2
23 / 4 × 2 / 3
23 × 2 / 4 × 3
On simplifying,
23 × 1 / 2 × 3
23 / 6
Thus, the value is 23 / 6.
To know more about mixed fractions:
https://brainly.com/question/29264210
#SPJ1
Seth built a wooden step stool out of two rectangular prisms and two cubes. Before fastening the components together, he stained each component to give it its final color.
To completely stain the bottom rectangular prism, Seth had to cover
square inches of wood. For one of the cubes to be completely stained, he had to cover
square inches of wood. To completely stain the top rectangular prism, he had to cover
square inches of wood.
Once the stool was fastened together, he applied a coat of sealant to all exposed surfaces of the stool, including the bottom, to cover a total of
square inches.
To complete stain the bottom rectangular prism, he needs to cover 624 square inches.
What is surface area?A solid object's surface area is a measurement of the overall space that the object's surface takes up.
Given that:
Bottom rectangular prism:
Length = 22 in
Width = 8 in
Height = 6 in
The surface area of the rectangular prism is:
SA = 2( lh + wh + lw)
SA = 2((22)(6) + (8)(6) + (22)(6))
SA= 624 square inches.
To complete stain the bottom rectangular prism, he needs to cover 624 square inches.
Square:
Side = 4 in
The surface area of the cube is:
[tex]SA = 6a^2[/tex]
[tex]SA = 6 (4)^2\\\\SA= 96[/tex]square inches.
To completely stain two squares, he needs to cover 96 * 2 = 196 square inches.
Top rectangular prism:
Length = 18 in
Width = 5 in
Height = 2 in
The surface area of the rectangular prism is:
SA = 2( lh + wh + lw)
SA = 2((18)(2) + (5)(2) + (18)(5))
SA = 136 square inches
Hence to completely stain top rectangular prism, he needs to cover 136 square inches.
Learn more about surface area here:
https://brainly.com/question/29298005
#SPJ4
A convenience store sell pre-paid mobile phones. It purchases them for $12 each and uses a mark up rate of 250%.
a. The markup rate is the constant of proportionality in the equation y= kx. Write an equation that can be used to find the amount of markup on the cost x of a phone
b. Use the equation to calculate the markup amount. What is the retail price of a phone?
c. Next week the store is going to reduce the price to $31. 50. Calculate what percent the sale price is of the retail price.
d. Based on your answer to part C, what is an equation in the form y = kx that relates the sale price to the retail price x?
Answer:
a. y = 2.5x
b. markup: $30; retail price: $42
c. 75%
d. y = 0.75x
Step-by-step explanation:
You want equations relating markup, retail price, and sale price on a phone that costs $12, is marked up 250%, then put on sale for $31.50.
a. Markup equationThe problem statement tells you the markup is 250% of the cost. You could write the equation as ...
y = (250%)x
Or you can simplify it to a decimal number:
y = 2.5x
b. Markup amountThe markup amount is ...
y = 2.5(12) = 30
The markup amount is $30.
That is added to the cost to get the retail price:
retail = $12 +30 = $42
The retail price of the phone is $42.
c. Sale priceThe sale price as a percent of the retail price is ...
percent = (sale price)/(retail price) × 100%
percent = 31.50/42 × 100% = 75%
The sale price is 75% of the retail price.
d. Sale price equationAs in part (a), we could write this as ...
y = (75%)x
or, in decimal, as ...
y = 0.75x
<95141404393>
Enrique earns 101010 points for each question that he answers correctly on a geography test. Write an equation for the number of points, yyy, Enrique scores on the test when he answers xxx questions correctly.
On his first geography test, Enrique answered 333 questions correctly. On his second test, Enrique answered 777 questions correctly.
Place points on the graph to show Enrique's first and second geography test.
An equation for the number of points y, and the correct answers x is y = 10x.
Define the term equation?One mathematical expression makes up a term. It could be a single variable (a letter), a single number (negatively or positively), or a number of variables multiplied but just never added as well as subtracted.
For the stated question-
Since Enrique receives 10 points for every question on the a geography test that is answered properly,Again for number of points, "y," Enrique receives on the test if he successfully answers "x" questions, we must formulate an equation.Consequently, the total points earned equal the total points earned for each question. number of questions with accurate responses.
Consequently, points earned = 10x
y = 10x.
First geography test: x = 3
y = 10*3 = 30
Second geography test: x = 7
y = 10*7 = 70
Thus, the graph for the enrique's first and second geography test is plotted.
To know more about the equation, here
https://brainly.com/question/2972832
#SPJ4
The correct question is-
Enrique earns 10 points for each question that he answers correctly on a geography test. Write an equation for the number of points, y Enrique scores on the test when he answers x questions correctly.
On his first geography test, Enrique answered 3 questions correctly. On his second test, Enrique answered 7 questions correctly.
Place points on the graph to show Enrique's first and second geography test.
The graph of a quadratic function passes through the points (0,-4) and (-2,0). What is the zero of the function?
Please no links and if you can, show your work.
Answer:
2 I believe 2? hopefully I'm right
How do you write 0.0000000000030785 in scientific notation?
Answer:
[tex]3.0785 \times {10}^{ - 12} [/tex]
Step-by-step explanation:
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and
ILL BRAINLIEST YOU PLEASE HELP ME
Answer: x = 34
Step-by-step explanation: ok so when you put 2 triangles together and make a rectangle the length and width will still be the same! so the answer is 34ft
Here is a piece of cake each piece of cake has the same number of candles how old is rongopai
Rongopai's age is equal to the total number of candles on the cake, thus I need to determine what that is.
How to estimate Rongopai's age?What I need to figure out because I am aware that Rongopai's age is equal to the total number of candles on the cake.
The number of pieces the cake was sliced into must first be determined. A quarter has a specific appearance to me. This is how it would seem (the teacher traces a quarter shape on the circle). There must have been more than four pieces since this one seems a little smaller.
Each cut's location may be identified using my finger. Given that all the pieces must be the same size, I'm predicting the locations of each line using the first piece as a reference.
Here would be the approximate location of the first line, followed by here and here (the teacher draws a line with her finger) (tracing two more lines). the third line. In my mind, the lines and parts are somewhat "visible." Four "invisible" pieces plus the one drawn in are present when I count backward.
The complete question is:
A teacher wants a student to see how visualising the size of a share (in this case, a piece of cake) can be used to work out how many shares are needed to make a whole:
“Here is a piece of Rongopai’s birthday cake. Each piece of cake has the same number of candles. How old is Rongopai?”
To learn more about quarter shape refer to:
https://brainly.com/question/20333097
#SPJ4
Age of Rongopai is 20 years.
What means one fifth of a circle?One fifth of a circle means if a circle can be divided into five equal parts, then one fifth is one of them.
How old is Rongopai?
As per the figure given, there is shown a 1 fifth of a circular birthday cake.
As all the piece of cake is equal in size so the total number of cake piece is five.
the number of candles in each piece is four.
the total number of candles present in the whole cake is = 5 × 4
the total number of candles = 20
Therefore, Rongopai is 20 years old.
To know more about a circle visit:
https://brainly.com/question/11833983
#SPJ4
Can you help me with this
Answer:
Step-by-step explanation:
The answer I got was y= -3/2x+3
this diagram shows 3cm x 5 cm x 4 cm cubiod
find ac give your answer in 2 decimal place
The length AC will be 5.83 and the angle ACD will be 34.45°.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
The length AC will be calculated as,
AC² = 5² + 3²
AC = √ ( 25 + 9 )
AC = √34
AC = 5.83
The angle ACD will be,
tanθ = P / B
θ = tan⁻¹ = ( 4 / 5.83)
θ = 34.45°
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ1
NEED HELP ASAP I WILL GIVE U BRAINLY
(08.03 MC ) The dot plot below shows the hourly rate of some babysitters in a city: Babysitting Rates $1.00 $2.00 $6.00 $7.00 $3.00 $4.00 $5.00 Dollars per hour Which statement best describes the shape of the data? (5 points)
O It is symmetric and has a peak at $7.00.
O It is a cluster from $1.00 to $7.00 and has gaps.
O It is a cluster from $1.00 to $7.00 and has no gaps.
O It is not symmetric and has a peak at $4.00.
Copy each segment.Then construct its perpendicular bisector
(help plz i gift a crown
Answer:no explanation ?
Step-by-step explanation:
The newest streaming service costs $9.24 per month with
tax. If tax is 5%, how much is the streaming service before
tax and how much does a year of the service cost?
Audrey's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=59+6xy=59+6x, where yy represents the expected quiz score and xx represents hours spent on homework that week. What could the number 59 represent in the equation?
A student's expected quiz score if they spent no time on their homework.
A student's expected quiz score if they spent 65 hours on their homework.
The change in expected quiz score for every additional one hour students spend on their homework.
How many hours a student spends studying all year
The number 59 in the equation represents the following:
"A student's expected quiz score if they spent no time on their homework"
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
y=59+6x
When x=0, y=59+6*0 = 59+0 = 59
This means, y=59 is the student's expected quiz score if they spent no time on their homework.
The number 59 in the equation represents the following:
"A student's expected quiz score if they spent no time on their homework"
To learn more about the equation from the given link
https://brainly.com/question/28218072
#SPJ4
HELP ME PWEASEEEEEEEE!!!!!!!!!!!!!!!!1111111111111111111111111111111
Answer:
3x
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
The slope is 3
Step-by-step explanation:
slope=(rise)/(Run)
rise=3
run=1
so: (3)/(1)= 3
Which expression is equivalent to -9 - \left(-4\dfrac13\right)
Answer:
B) -9 + 4 2/3
Explanation:
The answer is B because -9 - (-4 1/3) is -4 2/3 which is equal to -14/3, so that means B also has the same sum.
I hope this helps you! :)
A sequence is represented by the explicit formula
The value of a₂₆ in the arithmetic sequence aₙ= 14 + 9n is 248.
The correct option is D.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
An arithmetic sequence,
aₙ= 14 + 9n
We have to find the value of a₂₆.
That means, n = 26.
Substitute the value of n = 26 to the sequence,
a₂₆ = 14 + 9(26)
a₂₆ = 14 + 234
a₂₆ = 248
Therefore, the value of a₂₆ is 248.
To learn more about the arithmetic sequence;
https://brainly.com/question/29616017
#SPJ1
What’s 4/7x13/9 ?
Please help
0.82539682539 is the answer
Answer:
if it is a fraction then it is [tex]\frac{52}{63\\}[/tex]
Step-by-step explanation:
6000 plus 3000 plus 100 plus 40 plus 8
Answer:
9148
Step-by-step explanation:
6000 + 3000 would equal 9000.
100 + 40 + 8 would be 148
9000 + 148 = 9148
Answer:
9148
Step-by-step explanation:
Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.
Answer:
The correct option - Figure A
Step-by-step explanation:
The exact question is as follows :
Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
To find - Which box plot shows this data set?
Solution -
Given the data is -
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
Firstly,
Arrange the data from smallest to largest
0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7
Now,
Find the median
Median is the middle value - i.e. (15 + 1)/2 = 8th value
So, we get Median = 2
Now,
Find the Quartile -
The first quartile is the median of the data points to the left of the median.
i.e. Median of 0, 0, 0, 0, 0, 1, 1
so, we get
Q1 = 0
The third quartile is the median of the data points to the right of the median.
i.e. Median of 2, 2, 2, 3, 3, 5, 7
so, we get
Q3 = 3
Now,
Compute the min and the max
Minimum value = 0
Maximum value - 7
So,
five number summary is -
0, 0, 2, 3, 7
And we draw the box as follows -
So,
The correct option - Figure A
What is the inverse of the function y-2 = 7x?
Answer:
I think it's y=(1/7)(x+2)
A scientist wants to know how many catfish are in
Clear Lake. She and her team capture 48 catfish,
which they tag and release. The next week, they
capture 60 catfish, 3 of which have been tagged.
About how many catfish are in Clear Lake?
Answer:
105 catfish
Step-by-step explanation:
48 - 3 = 45
45 + 60 = 105
What is the remainder when f(x) = x^4 - 8x^2 + 10x + 22 is divided
B.2 by x + 3?
A. -107
B. -17
C. 61
D. 1
Answer:
Step-by-step explanation:
D. 1
Answer:
D) 1
Step-by-step explanation:
-3 | 1 0 -8 10 22
____-3_9_-3_-21_
1 -3 1 7 | 1
Hence, [tex]\frac{x^4-8x^2+10x+22}{x+3}= x^3-3x^2+x+7\,\,\,R1[/tex]
Activity 1: Keep Trying
Direction: Read, understand, analyze the given problem and solve it by applying the suggested
steps. Write your answer on the box provided.
1. Esther gave birth to a new-born baby weighing 5 kg at birth. Her friend told her that
the monthly average weight gained by a baby is 2 kg. If the rate of increase of the baby's
weight every month is constant, what is the weight of the baby after five months?
Perlom
Solution
Step 5
ernalia
Step 1
Step 2
Step 4
Step 3
nent anar
lia
The weight of the baby after five months is 15 Kg.
Step 1:
Given:
New-born baby weight = 5kg
Monthly average weight gained = 2kg
To find:
The weight of the baby after 5 months.
Average Weight of Baby:
Birth weight is the weight of the baby at birth. [1] The average birth weight of babies of European descent is 3.5 kilograms, with a normal range of 2.5 to 4.5 kilograms (5.5 to 9.9 pounds). On average, South Asian and Chinese babies weigh about 3.26 kg. The prevalence of low birth weight infants decreased slightly from 7.9% (1970) to 6.8% (1980), then increased slightly to 8.3% (2006) and is currently at 8.2% (2016).
Step 2:
Represent the unknown.
Let x-the number of months .
Let y-weight of the baby after 5 months.
Step 3:
Formulate the equation.
The mathematical equation is:
5+2x = y
Step 4:
Solve the equation.
5+2x = y
5+2(5) = y
5+10 = y
y = 15
Thus, the baby weight is 15kg after 5 months.
Step 5:
Using the equation 5+2x=y.
5+2x = y
5+2(5) = 15
5+10 = 15
Learn more about weight:
https://brainly.com/question/30068773
#SPJ4
Two dice are rolled at the same time. The first die shows a 2. Given that is a random variable that represents the sum of the results shown by the two dice, what are the possible values of X?
Answer:
3 ≤ X ≤ 8
Step-by-step explanation:
A die has 6 faces numbered from 1 to 6.
If two dice are rolled at the same time and the first die already shows a 2. Then the second die will show any number between 1 and 6 inclusive.
X which is the sum of the results shown by the dice will always be greater than or equal to 3 but less than or equal to 8. This is because the first die already shows a 2 and the second die will always be a number between 1 and 6 inclusive. i.e
X = result from die 1 + result from die 2
X = 2 + [1, 6]
X = [3, 8]
In other words, the minimum value of X is 3 and the maximum value of X is 8.
Sebastian has a bag that contains orange chews, apple chews, and lime chews. He
performs an experiment. Sebastian randomly removes a chew from the bag, records
the result, and returns the chew to the bag. Sebastian performs the experiment 26
times. The results are shown below:
A orange chew was selected 19 times.
A apple chew was selected 5 times.
A lime chew was selected 2 times.
If the experiment is repeated 1300 more times, about how many times would you
expect Sebastian to remove a orange chew from the bag? Round your answer to the
nearest whole number.
Answer:
I think it would be 950
Step-by-step explanation:
For the first example when he did 26 experiments and 19 orange chew was selected, if you subtract 7 from 26 you get 19.
How many 26's are in 1,300? 50
50 × 7 = 350
1,300 - 350 = 950
Maybe that's the answer
What 2D shape can be created by slicing a cone vertically?
A circle
B) rectangle
C triangle
D) square
Answer:
C) triangle
Step-by-step explanation:
Honestly I have no clue how to explain slicing shapes. but basically if a cone was a 2-D figure what shape would it be? a triangle
Answer:
c) triangle
Step-by-step explanation:
slicing the cone horizontally will make a circle, and a vertical slice presents a triangle
Can someone help me please? Picture attached
a = [tex]6\sqrt{5}[/tex] is the right angled triangle's third side when the right angle triangle's opposite sides are 18 and 12, respectively.
what is triangle ?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
given
by pythagoras theorem
c2 = a2 + b2
18*18 = a2 + 12*12
324 - 144 = a2
a2 = 180
a = [tex]6\sqrt{5}[/tex]
a = [tex]6\sqrt{5}[/tex] is the right angled triangle's third side when the right angle triangle's opposite sides are 18 and 12, respectively.
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
Solve |3x - 5] = 2 - 1/2x
Answer:
x=2
Step-by-step explanation:
First multiply both sides by 2:
6x-10=4-x
Move the variable to the left-hand side and change its sign:
6x-10+x=4
Move the constant to the right-hand side and change its sign:
6x+x=4+10
Collect like terms:
7x=14
Divide both sides of the equation by 7:
x=2
Answer pleaseee...!!!
Answer: 23
Step-by-step explanation:
A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?
Answer: C (The Last One)
Step-by-step explanation:
The answers correct because, If the range and median is 13 that means that the highest and lowest point equal 13 and the middle/the line in the graphs should be on 13. A doesn't have the line/median on 13 so it is not that answer. But B and C have the line/median on the line so we just have to check the range. The range of B is: 9, The range of C is: 13. So based off that we know that the answer is C.
Hope This Helps!