When Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon, In all he a total of 2 21/40 miles
How to find the number of miles that Henry ranThe number of miles Henry ran is calculated by addition operation
The sum of the miles Henry ran in the morning plus the number of miles he ran in the afternoon gives the what Henry ran in all
The procedure involves addition of tractions and done as follows
= 1 5/8 + 9/10
= 13/8 + 9/10
adding both fractions will result to
= 101/40 miles
= 2 21/40 miles (as a mixed number)
Henry ran a sum of 2 21/40 miles
Learn more about addition of fractions:
https://brainly.com/question/29321903
#SPJ1
In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A
X*
"P
a
120
D
O
O
A. 120°
B. 60°
C. 80°
OD. 30°
SUBMIT
The value of the variable 'x' will be 60°. Then the correct option is B.
What is a cyclic quadrilateral?If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral. And the sum of opposite angles of the quadrilateral is 180 degrees.
In the diagram below, P is circumscribed about quadrilateral ABCD. Then the equation is given as,
x + 120° = 180°
Simplify the equation, then we have
x + 120° = 180°
x = 180° - 120°
x = 60°
The value of the variable 'x' will be 60°. Then the correct option is B.
More about the cyclic quadrilateral link is given below.
https://brainly.com/question/15061291
#SPJ1
Charlie took a nap. He fell asleep at 11:25 AM and he woke up at 3:12 PM. How long did he sleep?
Answer:
[tex]\huge\boxed{\sf 3\ hours\ 47\ minutes}[/tex]
Step-by-step explanation:
Fell asleep = 11:25 AM
Woke up = 3.12 PM
When we go from 11:25 AM to 12:25 PM, he slept for 1 hour.
From 12:25 PM to 1:25 PM, it will be 2 hours.
From 1:25 PM to 2:25 PM, it will be 3 hours.
From 2:25 PM to 3:00 PM, it will be 3 hours 35 minutes.
From 3:00 PM to 3:12 PM, it will be 3 hours 35 minutes + 12 minutes.
So,
He slept for 3 hours 47 minutes.
[tex]\rule[225]{225}{2}[/tex]
this is some geometry
The value of x is 5.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that the quadrilaterals JKLM and PQRS are congruent.
The parameters are given as;
mJ = - 21, jk = 4y-2, kl=6x+3,
lm = 36, pq= 10, qr= 11, and rs= 12.
The formula for the ratio of similar figure is,
JKLM and PQRS
JK/ LM = PQ/ RS
4y-2 / 36 = 10 / 12
Cross-multiply solving;
48y - 24 = 360
48y = 360 + 24
y = 8
Now,kl/ ml = QR / RS
6x+3 / 36 = 11 / 12
Cross-multiply solving;
72x + 36 = 396
72x = 360
x = 360 / 72
x = 5
More can be learned about proportions at;
brainly.com/question/24372153
#SPJ1
5.02 One Step Equations
Solve for m
16 m = -29
m=13
m=-13
m=15
m=-45
Answer:
m= -45
Step-by-step explanation:
-16-m=29
-16-29=m
-45=m
What is (7 5/6−5 1/3)+1 1/9 ?
let's firstly convert all mixed fractions to improper fractions.
[tex]\stackrel{mixed}{7\frac{5}{6}}\implies \cfrac{7\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{47}{6}} ~\hfill \stackrel{mixed}{5\frac{1}{3}} \implies \cfrac{5\cdot 3+1}{3} \implies \stackrel{improper}{\cfrac{16}{3}} \\\\\\ \stackrel{mixed}{1\frac{1}{9}}\implies \cfrac{1\cdot 9+1}{9}\implies \stackrel{improper}{\cfrac{10}{9}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\left( \cfrac{47}{6}-\cfrac{16}{3} \right)+\cfrac{10}{9}\implies \cfrac{47}{6}-\cfrac{16}{3} +\cfrac{10}{9}\implies \cfrac{(3)47~~ - ~~(6)16~~ + ~~(2)10}{\underset{\textit{we'll be using this LCD}}{18}} \\\\\\ \cfrac{141~~ - ~~96~~ + ~~20}{18}\implies \cfrac{65}{18}\implies {\Large \begin{array}{llll} 3\frac{11}{18} \end{array}}[/tex]
▲ ABC has vertices A(-3, 3), B(2, 5), and C(4, -3). a. What is the x-coordinate of the centroid of ABC?
The x coordinate of the centroid of triangle ABC with vertices A(-3, 3), B(2, 5), and C(4, -3) is 1
What is centroid of a triangle?The center of the an object is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.
For a triangle the formula to find the vertex is
X coordinate: (x₁ + x₂ + x₃)/3
Y coordinate: (y₁ + y₂ + y₃)/3
substituting for the vertices A(-3, 3), B(2, 5), and C(4, -3)
X coordinate = (x₁ + x₂ + x₃)/3
X coordinate = (-3 + 2 + 4)/3
X coordinate = 1
Learn more about centroid of triangles at:
https://brainly.com/question/29633268
#SPJ1
simplify 20 × 23 + 20 - 23
20 × 23 + 20 - 23 can be simplified to 460 + 20 - 23, which can be simplified further to 480 - 23, or 457.
2/5 = ?/25
Use a model to find the missing value in the proportion.
A. 4
B. 5
C. 10
D. 22
Answer: C- 10
Step-by-step explanation: first have the bottom half of tyhe equation equal each other
5*x=25
x=5
then multiply 2 by x
2x=10
10 is the answer
The partial factorization of x²-x-12 is modeled with
algebra tiles.
+X
+X
+X
-X
-X
-X
+
I
+X+X+X
1
1
+
1
I
+
1
1
I
1
Which unit tiles are needed to complete the
factorization?
O 3 negative unit tiles
O 3 positive unit'tiles
O4 negative unit tiles
O4 positive unit tiles
There are ''4 negative unit tiles'' are needed to complete the factorization.
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The equation is,
⇒ x² - x - 12
Now,
Since, The equation is,
⇒ x² - x - 12
Hence,. The prime factorization is,
⇒ x² - 4x + 3x - 12
⇒ x (x - 4) + 3(x - 4)
⇒ (x + 3) (x - 4)
Thus, The correct statement is,
⇒ 4 negative unit tiles
Learn more about the quadratic function visit:
https://brainly.com/question/1214333
#SPJ1
What is the slope from ( -7, 5) to ( -3,4)
Answer:
Step-by-step explanation:
2. Complete the table.
sin a° = 3/√13, cos a° = 2/√13 and tan a° = 3/2 as per the rules of a trigonometric ratio.
What are trigonometric ratios?Trigonometric ratios are developed based on the right-angled triangle.
The largest side length of a right-angled triangle is called hypotenuse.
Suppose an angle Ф is in between the hypotenuse and base of a triangle. The base is called the adjacent side.
The remaining side length is called the opposite side length.
sinФ = opposite side length/ hypotenuse
cosФ = adjacent side length /hypotenuse
tanФ = opposite side length/adjacent side length
What is the trigonometric ratio given in the above table?According to the figure, a right-angled triangle has hypotenuse 3√13, angle a is in between hypotenuse and base of the triangle.
The length of adjacent side to the angle a° is 6 units and opposite side has a length 9 units.
now, according to the trigonometric ratio
sin a° opposite side /hypotenuse = 9 /3√13 = 3/√13
cos a° = adjacent side / hypotenuse = 6/3√13 = 2/√13
tan a° = opposite side/adjacent side = 9/6 = 3/2
To learn more about trigonometric ratio visit:
https://brainly.com/question/1201366
#SPJ1
Please help find the area
The triangle's area is listed as: 70.50cm2.A shape's surface area is measured by its area.
What explains the above-mentioned resolution?A shape's surface area is measured by its area.By multiplying the length and breadth of a rectangle or square, you can get its area.Area A is equal to x times y.
Square measurements, such as square inches, square feet, or square meters, are used to describe area.Multiplying a rectangle's length and breadth will reveal its area.A is the area, L is the length, W is the width, and * denotes multiply in the formula.
Area of the darkened area is equal to the sector's area minus the triangle's area.This is displayed as:π r² (∅/360) - 1/2 x b x h
= π x 14² x (46/360) - (1/2) x 14 x 10.0708
= 78.6794 - 70.4956
= 8.1838 cm²
Consequently, the triangle's area is equal to (1/2) x 14 x 10.0708.
= 70.4956 cm²
To learn more about triangle's area refer
https://brainly.com/question/21735282
#SPJ1
Select all that Apply
A. The domain is the set of all real
numbers greater than or equal to
zero.
B. The range is the set of all real
numbers greater than or equal to
zero.
C. The range is the set of all real
numbers.
et of all real numbers.
D. The Domain is the set of all real numbers
D. The Domain is the set of all real numbers.
The domain of the functionThe domain of a function is the set of all input values that the function will accept. In the case of the function f(x)= x, the domain is all real numbers greater than or equal to zero. This means that any real number greater than or equal to zero can be input into the function, and the function will produce an output. The range of a function is the set of all output values that the function produces. In the case of the function f(x) = x, the range is also all real numbers greater than or equal to zero.This means that for any real number greater than or equal to zero, the function will produce an output that is also a real number greater than or equal to zero. In conclusion, the domain of the function f(x) = x is all real numbers greater than or equal to zero, and the range of the function is also all real numbers greater than or equal to zero.To learn more about the domain of the function refer to:
https://brainly.com/question/1369616
#SPJ1
When adding numbers with several digits , the _______ column should be added first.
A) tens
B) ones
C) hundreds
D) thousands
Answer:
c
Step-by-step explanation:
Shannon has made 5 of her last 20 free throws. At this rate, how many free throws will she make if she attempts 400 this year?
If Shannon attempts 400 throws this year, the number of free throws that she would make is 100 free throws.
How to find the number of free throws?To find the number of free throws that Shannon might be able to make this year, you need to look at the rate at which she is able to make free throws from the number of throws that she makes.
When Shannon made 20 throws, she was able to make 5 free throws out of these 20 throws. This means that her rate of free throws is :
= Number of throws made / Total throws taken x 100 %
= 5 / 20 x 100 %
= 0. 25 x 100 %
= 25 %
If Shannon has 400 throws therefore, the number of free throws she can make at that rate is:
= Number of total throws x Rate of free throws made
= 400 x 25 %
= 100 free throws
Find out more on rate at https://brainly.com/question/6781289
#SPJ1
In an activity, students are pulling marbles from a large jar containing blue and red marbles. In their sample, students will calculate the proportion of blue marbles. Which of the following sample sizes will have the largest sampling variability?
10
20
30
40
The sample size that will have the largest sampling variability is D. 40.
What is the sample about?From the information, in the activity, students are choosing blue and red marbles from a sizable jar.
The percentage of red marbles in the sample will be calculated by the students. The sample size of the marble's sampling variability increases as the sample percentage of red marbles approaches the actual percentage of red marbles in the jar.
Therefore, the sample proportion of red marbles will be closer to the actual proportion of red marbles in the jar the larger the sample size of marbles. In this case, 40 is the correct option.
Learn more about sample on;
https://brainly.com/question/21159642
#SPJ1
Explain to me how does this formula work.
[tex]{e}^{i\pi} + 1 = 0[/tex]
The well-known equation e(i*pi) + 1 = 0 represents Euler's identity, where e is the Euler number, or roughly 2.71828, I is the imaginary number, or roughly i2 = -1, and pi is the ratio of a circle's circumference to its diameter, or nearly 3.14.
What is meant by diameter?A straight line that passes through the middle of a rounded object or form and ends at a point on the opposite edge: The diameter is twice as big as the radius. The pond has a six-foot diameter. the distance along a straight line that passes through the middle of a space or an object. the circumference of a circle. dug a hole that was almost four feet in diameter. The simplest place to start would be to take the ruler and measure the distance between the circle's outside edges starting from its very center. That would be the diameter. A circle's edge or length is known as its circumference.To learn more about diameter refer to:
https://brainly.com/question/23220731
#SPJ1
how much is 23,000 borrowed for 7 years at an interest of 3%
Answer:$27,463.202820167
Find the sum and express it in simplest form.
(-6b²2b-1) + (-2b² + 4b)
100
Clear all
Enter the correct answer.
000
DONE
Answer:
-8b^2 + 4b
Step-by-step explanation:
To simplify the expression (-6b^2 2b-1) + (-2b^2 + 4b), we need to combine like terms.
First, let's distribute the negative sign to the terms inside the first set of parentheses:
(-6b^2) + (-2b^1) = -6b^2 - 2b^1
Now let's combine the terms inside the second set of parentheses:
(-2b^2) + (4b) = -2b^2 + 4b
Finally, let's add the two expressions:
(-6b^2 - 2b^1) + (-2b^2 + 4b) = -6b^2 - 2b^1 - 2b^2 + 4b
Simplifying, we get:
-8b^2 + 4b = -8b^2 + 4b
The final simplified expression is: -8b^2 + 4b.
4-33.
Simplify the following expression: 32³-2x² +4-(3x³ + 5x² - 2).
a. How many terms are in your answer?
b. What is the coefficient of in your answer?
Answer:
Step-by-st32³-2x² +4-(3x³ + 5x² - 2)
= 32³ + 4 - 3x³ - 5x² + 2x² - 2
= 32³ - 3x³ - 3x² + 2
a. There are 3 terms in the answer.
b. The coefficient of x^3 is -3 and the coefficient of x^2 is -3.
So the final answer is -3x^3 - 3x² + 2.ep explanation:
Sammi buys a painting for £80 and sells it for a 15% profit.
How much does he sell the painting for?
The class aquarium holds 2 gallons of water. How many cups is this? How many fluid ounces is this?
Answer: 32 cups, 256 fl oz
Step-by-step explanation:
Consider an I-MR-chart for plotting the range. The point that is plotted on the chart is calculated by taking the absolute value of the difference between successive observations.
True
False
The point that is plotted on the chart is calculated by taking the absolute value of the difference between successive observations. yes , it is a true statement for absolute value
What does an I-MR chart tell you?
An I-MR chart is a combination of control charts used to monitor the process variability (as the moving range between successive observations) and absolute (as the mean) when measuring individuals at regular intervals from a process.
A data series, such as a list of quarterly corporate profits, is a row or column of figures that are input in a worksheet and plotted in your chart. Even if you generated your chart in a different software, like Word, Office automatically associates charts with an Excel-based worksheet.
A data series contains the actual values that are plotted on the chart.
To learn more about absolute value is here
https://brainly.com/question/29072484
#SPJ4
Identify percent of change. 20 is decreased to 6.
Answer:
70%
Step-by-step explanation:
the formula for percent of change is:
New value - Old value divided by Old value
we can write this algebraically as:
(6-20)/20 which is -14/20
the negative simply implies a 'decrease' from old to new
14/20 equals 70/100 or 70%
Answer:
The answer to your question is 70% decrease
Step-by-step explanation:
I hope this helps and have a wonderful day!
Solve for the balloon volume using the
equation below where:
volume = v
circumference = c
V=
2³
67²
Answer:
OK your question is an easy but it also difficult I know your are such a bright student of your class so please try your question by yourselves〖〖lim〗┬(x→0) 〗〖〖3x〗^2/(1- 〖cos〗^2 1/2 x)〗
The limit lim x → 0 (3x²/(1 - cos²(x/2)) = 0
What are limits?A limit is the value of a function as the independent variable tends to a particular value.
How to find the given limit?Given the limit lim x → 0 (3x²/(1 - cos²(x/2))
We desire to evaluate the limit.
To evaluate the limit, we proceed as follows.
Since lim x → 0 (3x²/(1 - cos²(x/2)), substituting x = 0 into the equation, we have that
lim x → 0 (3x²/(1 - cos²(x/2)) = (3(0)²/(1 - cos²(0/2))
= (3(0)/(1 - cos²(0)),
= ((0)/(1 - (cos(0)²))
= 0/(1 - 1)
= 0/∞
So, using l'hopital's rule which states that lim x → a f(x)/g(x) = lim x → a f'(x)/g'(x)
So, lim x → 0 (3x²/(1 - cos²(x/2)) = lim x → 0 (d3x²/dx/d(1 - cos²(x/2))/dx,
= lim x → 0 2x/2cos(x/2)sin(x/2)
= lim x → 0 2x/sinx
= 2(0)/sin0
= 0/0
Using l'hopital's rule again, we have that
lim x → 0 2x/sinx = lim x → 0 d2x/dx/dsinx/dx
= lim x → 0 2/cosx
= 2/cos(0)
= 2/1
= 2
So, we have that the limit lim x → 0 (3x²/(1 - cos²(x/2)) = 2
Learn more about limits here:
https://brainly.com/question/28185314
#SPJ1
can you help me on this
7(8x+5)
Arik bought 20 calculators at the electronics store. 40% of the calculators were scientific calculators and 1/2 of the calculators were graphing calculators. How many of the calculators were neither scientific calculators nor graphing calculators?
Arik bought 8 scientific calculator and 12 graphing calculator.we can find by using percentage.
What is a percentage in math?Percentages are fractions where the denominator is 100. To show that a number is a percent we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100) you would have scored 75%.
What is percentage of formula?Percentage can be calculated by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.Percentages are important for understanding the aspects of everyday life.
Now we have
Arik has 20 calculator at store
40% scientific calculator= 20*40/100
=800/100
=8
he buys graphing calculator=20-8
=12
Each calculator is 5 percent.
To learn more about percentage visit;
https://brainly.com/question/29306119
#SPJ1
Give the truth values of the propositions.
a. If only every morning could be as sunny and clear as this one!
b. Fifteen is an even number.
c. If Jennifer is late for the party, then her cousin Zachary will be quite angry.
d. On June 30, 1986, Christine Marie Evert had won the French Open seven times.
Answer:
THE ANSWER IS C
Step-by-step explanation: BECAUSE IT IS I
A proposition exists in this statement. Until we know if Jennifer will be late for the party and whether her cousin Zachary would become irate if she is, we cannot determine its true value. The right answer is C.
What is a preposition?a. Because it is not a declarative sentence that can be either true or incorrect, this statement cannot be considered a proposition. Instead of expressing reality, it reflects hope or desire.
b. False. Fifteen is an odd number, not an even number.
c. A proposition exists in this statement. Unless we know if Jennifer will be late to the party and whether her cousin Zachary would become irate if she is, we cannot determine its veracity.
d. False. Chris Evert didn't win the French Open seven times on June 30, 1986; he only did so five times.
To know more about prepositions follow
https://brainly.com/question/13166836
#SPJ2
3. Which proportion has an m value of 16.5 ?
m/10.4=18.9/65
m/54.2=82.5/271
m/65.7=104.5/305
m/23.8=55.6/188
The proportion has an m value of 16.5 is
m / 54.2 = 82.5 / 271
What is proportions?The word proportion generally denotes a portion, share, or sum when compared to a total.
When two ratios are equal, they are in proportion, as stated by the definition of proportion. When an equation or a statement to are said to be proportional then the two ratios or fractions are equal.
Each of the options is solved for m to find that the second option has the m = 16.5
m / 54.2 = 82.5 / 271
cross multiplying gives
m / 54.2 = 165/542
m = 16.5
m is solved to get 16.5
Learn more about proportions at:
https://brainly.com/question/870035
#SPJ1
