Verónica jogged 7/4 or 1 and 3/4 more miles in the first week than in the second week.
Verónica jogged 10 3/16 miles in one week, next week she jogged 8 7/16 miles. how many miles did she jog the first week?Verónica jogged 10 3/16 miles in the first week and 8 7/16 miles in the second week. To find how many more miles she jogged in the first week, we need to subtract the distance she jogged in the second week from the distance she jogged in the first week:
10 3/16 miles - 8 7/16 miles
We need to first convert both mixed numbers to improper fractions:
10 3/16 = (10 x 16 + 3) / 16 = 163 / 16
8 7/16 = (8 x 16 + 7) / 16 = 135 / 16
Now we can subtract the two fractions:
163 / 16 - 135 / 16 = (163 - 135) / 16 = 28 / 16
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common factor (GCF), which is 4:
28 / 16 = (4 x 7) / (4 x 4) = 7 / 4
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What is the volume of the following rectangular prism?
2 units
3
units?
100
Volume =
units
Report a prob
Answer:
1,000000
Step-by-step explanation:
units hope this helped
sorry i just need points
Answer:
600
Step-by-step explanation:
so the dimensions: 2 , 3 and 100?
pls Correct me if wrong
2x3x100
= 600
Stella buys a one-pint bottle of juice for $2.72. What is the unit rate of the
cost of the juice per fluid ounce?
Answer: 0.17
Step-by-step explanation:
If she bought one pint of juice and there are 16 fluid ounces in one pint then you would take 2.72 the cost of it and divide ut by 16. So, 2.72/16 which is 0.17.
if a² + b² = 12.85 and ab = 5.58, then (a + b)² =
The solution to the algebraic equation (a + b)² = 24.01
What is Algebraic Equation?An algebraic expression is a mathematical phrase that includes variables, constants, coefficients, and algebraic operations. Equations include an equal sign, and show equivalency between two mathematical expressions. For example, 2x + b is an algebraic expression, but 2x + b = 14 is an algebraic equation.
a² + b² = 12.85 and ab = 5.58, then (a + b)² =
(a+b) (a+b)
open the bracket by multiplying with each other
a^2 +ab + ab + b^2
rearrange the expression
a^2 +b^2 + 2ab
since a² + b² = 12.85 and ab = 5.58
Substitute into the equation
12.85 +2 ( 5.58)
12.85 + 11.16
24.01
Therefore the value of (a + b)² = 24.01
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Find the missing exponent.
(x^4)^?=x^12
Answer: 3 (Finished equation would look like \((x^{4})^{3}= x^{12}\) )
Step-by-step explanation: to find answer, divide 12 by 4 and the answer will be 3. 3 is the answer because 3 times 4 equals 12.
Matthew has 170 tiles he can use for this project. Identify the largest patio design that he can make. Show or explain your reasoning.
Answer:
Design 12Step-by-step explanation:
See the attached for missing part of the questionAs we see each design comprises of entrance and exit - each one tile and:
Design 1 has 1 row and 3 columns,Design 2 has 2 rows and 4 columns,Design 3 has 3 rows and 5 columns.So design x has x rows and two more columns according the pattern we observe.
The number of tiles of design x is:
x by (x + 2) and 2 more tilesWe can put it as equation to get 170 tiles and solve for x:
x(x+2) + 2 = 170x² + 2x - 168 = 0x² - 12x + 14x - 168 = 0x(x - 12) + 14(x - 12) = 0(x + 14)(x - 12) = 0x = - 14 (discarded as negative root)x = 12 (the solution)So this is a design 12
It has 12 rows, 14 columns, 1 entrance and 1 exit tiles, the total number is
12*14 + 2 = 170 tilesWhat is the answer for (2b + 8)5 ?
Answer:
Expanded, the answer would be 10b + 40
Step-by-step explanation:
Just multiply 8 to 2b and 8
Just need to no the answer thanks
Answer:
Option a is the correct answer
Step-by-step explanation:
\( \huge( \sqrt[x]{2})^{ - 1} = {2}^{ - \frac{1}{x} } \)
0600 Mountain Daylight Time is ____ Zulu/UTC/GMT.
0600 Mountain Daylight Time is equivalent to 1200 Zulu/UTC/GMT.
Mountain Daylight Time (MDT) is a time zone that is observed in several regions of North America during the summer months when Daylight Saving Time is in effect. It is 6 hours behind Coordinated Universal Time (UTC-6) during Daylight Saving Time.
Coordinated Universal Time (UTC) is the primary time standard by which the world regulates clocks and time. It is used in many scientific, technical, and military fields, as well as in international air traffic control.
Zulu time is a term used in aviation and military operations to refer to Coordinated Universal Time (UTC). The term "Zulu" is used because it is the letter "Z" in the NATO phonetic alphabet, and it is used to avoid confusion with other time zones during radio communication.
To convert 0600 Mountain Daylight Time to Zulu/UTC/GMT, you need to account for the time difference between Mountain Daylight Time (MDT) and Zulu/UTC/GMT.
During daylight saving time, Mountain Daylight Time is 6 hours behind Coordinated Universal Time (UTC-6). So, to convert 0600 MDT to UTC/GMT, you would need to add 6 hours.
Therefore, 0600 Mountain Daylight Time is equivalent to 1200 Zulu/UTC/GMT.
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While 3 watchmen were guarding an orchard, a thief slipped in and stole some apples. On his way out, the thief met the 3 watchmen one after the other, and to each in turn he gave 1/2 of the apples he had, as well as 2 more. Thus he managed to escape with 1 apple. How many had he originally stolen
Let's denote the number of apples the thief originally stole as 'x'.
According to the given information, when the thief met the first watchman, he gave away half of the apples he had (x/2) and 2 more. So, the number of apples remaining with the thief after this encounter would be (x/2) - 2.
When the thief met the second watchman, he again gave away half of the apples he had at that point, which is [(x/2) - 2]/2, and 2 more. So, the number of apples remaining with the thief after this encounter would be [(x/2) - 2]/2 - 2.
Finally, when the thief met the third watchman, he repeated the same process. He gave away half of the remaining apples, which is {[(x/2) - 2]/2 - 2}/2, and 2 more. So, the number of apples remaining with the thief after this encounter would be {[(x/2) - 2]/2 - 2}/2 - 2.
According to the given information, the thief managed to escape with 1 apple. Therefore, we can set up the following equation:
{[(x/2) - 2]/2 - 2}/2 - 2 = 1
Now we can solve this equation to find the value of 'x':
{[(x/2) - 2]/2 - 2}/2 - 2 = 1
[(x/2) - 2]/2 - 2 = 1 + 2
[(x/2) - 2]/2 = 3 + 2
[(x/2) - 2]/2 = 5
(x/2) - 2 = 5 * 2
x/2 - 2 = 10
x/2 = 10 + 2
x/2 = 12
x = 12 * 2
x = 24
Therefore, the thief originally stole 24 apples.
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2 − 8 ÷ (2 to the 4th power ÷ 2) =
Answer:
1Step-by-step explanation:
2 − 8 ÷ (2 to the 4th power ÷ 2) =Remember PEMDAS
2 - 8 : (2^4 : 2) =
2 - 8 : (16 : 2) =
2 - 8 : 8 =
2 - 1 =
1Jennifer has 36 DVDs.
This number of DVDs is 80% more than
the number she had last month.
How many DVDs did Jennifer have last
month?
Answer:
20
Step-by-step explanation:
36 DVDs is 180%.
36 divided by 180 is 0.2.
Multiply 0.2 by 100 to get how many DVD's she had last month...
0.2 x 100 = 20
What is YZ to the nearest tenth?A scalene triangle XYZ is given. The length between XZ is 14 and XY is 12. The angle YXZ is 98 degrees.
Answer:
Step-by-step explanation:
cos rule
YZ=sqrt(14^2+12^2-2*14*12*cos98deg)
=19.67
Answer:
Step-by-step explanation:
Given two sides and the angle between, the cosine rule can be used to find the third side.
YZ^2 = XZ^2 + XY^2 - 2*XZ*XY*cos(X)
YZ = (14^2 + 12^2 - 2*14*12*cos98deg)^(1/2)
= 19.666
= 19.67
HELP ME!! (only solve A)
Answer:
5.2
?
Step-by-step explanation:
\(\text{Given that,}\\\\(x_1,y_1) = (5,2)~~ \text{And} ~~ (x_2,y_2) =(1,0)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{0 - 2}{1 -5} = \dfrac{-2}{-4} = \dfrac 12\)
WILL MARK BRAINLIEST!!!
This is a continuation to the other question
Answer:
m=86 degrees
x=98 degrees
Step-by-step explanation:
1:
the angles of a triangle are 180
180-71-23=86
m=86
2:
the angles of a triangle are 180
180-52-30=98
x=98
hope this helps and is right!
Find the lateral area of this square based pyramid. 10 in 5 in [? ]in² Enter
The lateral area of the given square based pyramid is 100 square inches.
In the given figure, edge of square base is 10 inches and slant height (l)= 5 inches.
We know that, the lateral area of a square pyramid = 2al.
Substitute a=10 inches and l=5 inches in the lateral area of a square pyramid formula, we get
2×10×5
= 100 square inches
Therefore, the lateral area of the given square based pyramid is 100 square inches.
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Pls help!!!!
make a list of some of the challenges when reading a text containing historical content.
Reading a text containing historical content can present several challenges, including unfamiliar vocabulary, cultural context, biased perspectives, interpretation of primary sources, and navigating different historical periods.
One of the challenges when reading historical texts is encountering unfamiliar vocabulary and terminology that may be specific to the time period being discussed. Historical texts often use language and terms that may have different meanings or have fallen out of common usage. Another challenge is understanding the cultural context in which the events took place. Cultural norms, beliefs, and social structures of the past can be different from our present understanding, requiring readers to research and gain insight into the historical context.
Additionally, historical texts can present biased perspectives or reflect the prevailing ideologies of the time, which may require readers to critically analyze the information and consider alternative viewpoints. Interpreting primary sources, such as diaries, letters, or official documents, can be challenging due to the potential for bias, subjective viewpoints, and the need to cross-reference multiple sources.
Furthermore, navigating different historical periods and understanding the chronology of events can be complex, especially when reading texts that span different time periods or discuss historical events out of sequence. It requires readers to have a solid understanding of historical timelines and the interconnectedness of events to grasp the full context of the text.
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10x = 2x -8 what is this answer
Answer:
x=-1
Step-by-step explanation:
Answer:
10x = 2x -8
-2x -2x
8x = -8
divide by 8
x = -1
Question 3
8 pts
An extra large pizza from Papa Johns has a diameter of 16 inches. What is the circumference
the pizza? Use 3.14 to represent pi.
I reallyyyy need help and i gotchu wit a lot of points if you can help me
Answer:
a. $14.99k + $24+ $25 = x
b. $14.99(3) + $24+ $25 = x
$44.97 + $24 + $25 = $93.97
Step-by-step explanation:
Answer:
i) C= $14.99 k + $24
ii) $93.97
Step-by-step explanation:
Let the number of models be represented by -----------k
Let the amount spent on books to be--------$24
The equation that represent amount spent in the mall is given as;
C= $14.99 k + $24 ---------------where ;
C= the equation for the total amount spent in the mall
k = the number of plane models
ii)
Using the equation : C= $14.99 k + $24 and if k = 3 and the amount spent on the store is $25 then ;
C= $14.99 * 3 + $24 = $44.97 + $24 = $68.97
C+ 25 = $68.97 + 25 =$93.97
Z-31=16??? I just got into the Z section in algebra and my teacher gave us a paper with no explanation plz help ty!
Answer:z=47
Step-by-step explanation:
You're doing this because if you have z-31=16 you have to + 31 to 16 which would give you 47 then that would be a one step equation
z-31=16
you would make a line between the equal sign so it is organized then plus 31 to sixteen then that would get you to 47
I need help please! This is urgent!
Answer:
first 35 out of 100 then second person 34 out of 99
Step-by-step explanation:
Write 123000000 as a multiple of power of 10
Answer:
123 * 10^6
OR
1.23 * 10^8
Answer:
Step-by-step explanation:
2 A bag contains & blacks balls and 5 yellow balls, 2 balls are taken at random one after the other without replacement find-the probability that they are both black they fare both yellow & the first as yellow - and the second is black one is yellow the other is black they are of the same colour
The probability values are calculated and listed below
Finding the probabilitiesThey are both black
Here, we have
Black = 3
Yellow = 5
Sice the balls are not replaced, we have
P(Both black) = 3/8 * 2/7
P(Both black) = 3/28
They are both yellow
Sice the balls are not replaced, we have
P(Both Yellow) = 5/8 * 4/7
P(Both Yellow) = 5/14
The first is yellow and the second is black
Sice the balls are not replaced, we have
P(Yellow and black) = 5/8 * 2/7
P(Both Yellow) = 5/28
One is yellow the other is black
Sice the balls are not replaced, we have
P(One Yellow and One black) = 5/8 * 2/7 * 2
P(One Yellow and One black) = 5/14
They are of the same colour
Here, we have
P(Same) = 3/28 + 5/14
P(Same) = 13/28
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if the line represented by y 1 4 x 2 is dilated by a scale factor of 4 centered at the origin, which statement about the image is true?
If the line represented by y = 4x + 2 is dilated by a scale factor of 4 centered at the origin, the new equation of the image line is y = 16x + 8, and the statement about the image that is true is that the slope is the same as the original line, but the y-intercept is four times greater.
If the line represented by y = (1/4)x + 2 is dilated by a scale factor of 4 centered at the origin, the image of the line will have a steeper slope, but the y-intercept will remain the same. The new equation for the dilated line would be y = (4 * 1/4)x + 2, simplifying to y = x + 2.
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(c) a contestant takes 6 seconds to reach the ground from the top of the zip line. at what rate is the contestant moving down the line?
By using speed calculation and the Pythagorean theorem, it can be concluded that the contestant is moving down at a rate of 11.8 feet/second.
In speed calculation, speed is defined as the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:
Speed = distance / time
We will need the Pythagorean theorem to solve the problem as well. It says that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the two shorter sides:
c² = a² + b²
Now we take a look at the problem.
The height of the pole = 50 feet
Distance between pole and anchor = 50 feet
Time = 7 seconds
We want to know the speed of a contestant, that is the distance traveled in 6 seconds.
Let c be the distance traveled, a be the height of the pole and b be the distance between the pole and the anchor.
We will use the Phtagorast Theory to find c:
c² = a² + b²
= 50² + 50²
= 2500 + 2500
= 5000
c = √5000
= 70.7 feet
Rate or speed the contestant moving down the line:
Rate = distance / time
= 70.7 / 6
= 11.8 feet/second
Thus, the contestant is moving down at a rate of 11.8 feet/second.
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in the adjoining figure, ABC is a right-angled triangle, where
B = 90°, AB = 3 cm and AC
3V2 cm, find the size of ®.
Answer:
the value of theta i 45°
Help! I have no idea what to do! Will award brainliest!
Answer: (-3)^8
Step-by-step explanation:
Answer:
(-3)^8
Step-by-step explanation:
2 x 4 = 8
Hence,( -3)^8
[RevyBreeze]
determine which of the following is the equation of the circle shown below
We need to first identify the center of the circle.
We see that the coordinate point of the center of the circle is (-1, -2).
The equation of a circle is given with the equation
\((x-h)^2+(y-k)^2=r^2\)where h is x, k is y, and r is the radius of the circle.
Therefore, we can plug in the coordinates first to find the h and k of the equation.
\(\begin{gathered} (x-(-1))^2+(y-(-2))^2=r^2 \\ (x+1)^2+(y+2)^2=r^2_{} \end{gathered}\)Then, we need to determine r.
The circle intersects points (-6, -2) and (4, -2). We can simply subtract the x-coordinates from each other to find the diameter of the circle.
\(-6-4=-10\)Finally, we know the radius is half of the diameter:
\(\frac{-10}{2}=-5\)We can plug in the radius into the equation.
\(\begin{gathered} (x+1)^2+(y+2)^2=(-5)^2_{}_{} \\ (x+1)^2+(y+2)^2=25 \end{gathered}\)Therefore, our final equation is Choice D:
\((x+1)^2+(y+2)^2=25\)The mean length of 6 rods is 44.2 cm. The mean length of 5 of them is 46 cm. How long is the sixth rod?
Answer:
The sixth rod is 35.20 cm.
Step-by-step explanation:
Get the total length of the 6 rods.
Total length = 6(44.2cm)
= 265.20 cm
Get the total length of 5 rods
Length of 5 rods = 5(46cm)
=230cm
The length of the sixth rod is the difference between the two.
Length of the sixth rod = 265.20 cm - 230 cm
length = 35.2 cm
Bear Valley already had 4 centimeters of snowcover when a snowstorm moved in. The storm
is increasing the amount of snowcover by 2 centimeters per hour.
Write an equation that shows the relationship between the number of hours it has been
snowing, x, and the total snowcover in centimeters, y.
y =
The linear equation that shows the relationship between the number of hours it has been snowing, x, and the total snow cover in centimeters, y is given by:
y = 2x + 4
What is a linear function?A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of a function.In this problem:
Bear Valley already had 4 centimeters of snow cover when a snowstorm moved in, hence b = 4.The storm is increasing the amount of snow cover by 2 centimeters per hour, hence m = 2.Thus, the equation is:
y = 2x + 4
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