Wilbur drove for 5 hours before Jack caught up with him.
How to calculate the distance?Based on the information, the distance = (Wilbur's speed) x (time) = (Jack's speed) x (time + (time Wilbur drove))
We know that Jack's speed is 75 mph, and that he caught up with Wilbur after 2 hours. We also know that the distance covered by Jack is the same as the distance covered by Wilbur.
So we can write:
distance = (Wilbur's speed) x (time) = (Jack's speed) x (2 hours)
We are given that the Wilbur's speed is 30 mph, so we can substitute that in the above equation:
distance = 30 mph x (time) = 75 mph x 2 hours
Then we can solve for time by dividing both sides of the equation by 30:
time:
= (75 mph x 2 hours) / 30 mph
= 5 hours
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Solve the Equation.
6x−3(x+8)=9
x=?
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
[tex]6x-3(x+8)=9\\6x-3x-24=9\\3x-24=9\\3x=33\\x=11[/tex]
Answer:
X=11
Step by step:
6x-3(x+8)=9
=6x-3x-24=9
=3x-24=9
+24 +24
=3x=33
=3x/3=33/3
X=11
A jet is flying with an air speed of 480 miles per hour at a bearing of N82 °E. Because of the wind, NE° . the ground speed of the plane is 518 miles per hour at a bearing of 79°E.
a- What are the speed and direction of the wind?
b- If the pilot increased the air speed of the plane to 500 miles per hour, what would be the resulting ground speed and direction of the plane?
A) Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE
B)The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.
How to find the direction of the wind?To find the speed and direction of the wind, we can use the fact that the ground speed vector (GS) is the sum of the air speed vector (AS) and the wind speed vector (WS).
Given that:
AS = 480 miles per hour at a bearing of N82°E
GS = 518 miles per hour at a bearing of 79°E
We can use the law of cosines to find the wind speed (WS) and the angle between AS and WS.
WS = √(GS² - AS² + 2AS * GS * cos(GS - AS))
WS = √(518² - 480² + 2(480)(518)cos(79 - 82)) = √(268816 - 230400 + 466560cos(-3)) = √(28672) = 168 miles per hour
Then we can use the angle between AS and WS to find the direction of the wind:
Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE
To find the resulting ground speed and direction of the plane if the pilot increased the air speed to 500 miles per hour, we can use the same method as before.
Given that:
AS' = 500 miles per hour at a bearing of N82°E
GS' = √(AS'² + WS² - 2AS'WS * cos(direction of WS - direction of AS'))
GS' = √(500² + 168² - 2(500)(168)cos(80.5 - 82)) = √(250000 + 28672 + 118400cos(1.5)) = √(284872) = 535.5 miles per hour
The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.
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Write each trigonometric ratio as a fraction and as a decimal rounded to
the nearest hundredth.
3. sin C
6. cos C
4. tanA
7. tan C
5. cos A
8. sin A
The trigonometric ratio as a fraction for sinC is , and the decimal is 0.80.
What are trigonometric functions?The trigonometric functions are actual functions that connect the right-angled triangle's angle to the ratios of its two side lengths.
What are the most widely used trigonometric functions?The widely used trigonometric functions are sine, cosine and tangent. The trigonometric functions also operate the inverse of the functions.
For the given triangle the trigonometric values are as follows:
For angle A the opposite side is CB, the adjacent side is AB and the hypotenuse is AC.
For angle C the opposite side is AB, the adjacent side is CB and the hypotenuse is AC.
[tex]sinC = \frac{\text{Opposite side }}{Hypotenuse} = \frac{4}{5} =0.80\\ \\ cosC = \frac{\text{Adjacent side }}{Hypotenuse} =\frac{3}{5} = 0.60\\\\tanA =\frac{\text{Opposite side }}{Adjacent side} = \frac{3}{4} = 0.75\\\\tanC= \frac{\text{Opposite side }}{Adjacent side} =\frac{4}{3} = 1.33\\\\cosA = \frac{\text{Adjacent side }}{Hypotenuse} =\frac{4}{5} = 0.80\\\\sinA= \frac{\text{Opposite side }}{Hypotenuse}=\frac{3}{5} =0.60[/tex]
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( r - 8 ) - ( r + 15 )
Find the Sum or Difference! :)
Answer:
-23
Step-by-step explanation:
Open up the parenthesis
R - 8 - R - 15
R - R - 8 - 15
-23
Answer:-23 ITS SUPER EASY:0
Step-by-step explanation:
Open up the parenthesis
R - 8 - R - 15
R - R - 8 - 15
-23
Over the last three days it has rained a total of 1 inch. Today it rained 2 8 of an inch and yesterday it rained 3 8 of an inch. How much more did it rain the day before yesterday
So, it rained 15/8 inch the day before yesterday.
The total amount of rain that fell in the last three days is 1 inch. We know that 2/8 of an inch fell today, and 3/8 of an inch fell yesterday. We can add these amounts together to find out how much more it rained the day before yesterday.
To add 2/8 and 3/8, we need to convert the fractions to have a common denominator, which is 8.
2/8 = 2/8 * 1 = 2/8
3/8 = 3/8 * 1 = 3/8
Now we can add the fractions:
2/8 + 3/8 = (2+3)/8 = 5/8
Since we know that the total amount of rain that fell in the last three days is 1 inch, we can subtract the amount that fell today and yesterday from the total amount to find out how much more it rained the day before yesterday:
1 inch - (5/8 inch) = 15/8 inch
Therefore, it rained 15/8 inch the day before yesterday.
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Ana has bought 12 3/6 kg of flour. Mary has brought 14 2/8 kg of flour and Kristina has bought 11 8/12 kg of flour. Who bought the most flour?
Answer:
Mary bought the most flour
Step-by-step explanation:
Ana bought 12 3/6 kg of flour
12 3/6 = 75/6 = 12.5 kg of flour
Mary has brought 14 2/8 kg of flour
14 2/8 = 114/8 = 14.25 kg of flour
Kristina bought 11 8/12 kg of flour.
11 8/12 = 140/12 = 11.66 kg of flour
So, Mary bought the most flour.
Suppose the pet food company's strategy is to increase the proportion of sales orders from new stores in each region to 25% during the coming year. Consider the data and proportions of sales from new stores for each region in the first month. Do you think additional training is necessary for all of the sales representatives?
Answer:Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?
Step-by-step explanation:
Yes sales representatives in Midwest and Northeast require more training
Although your question is incomplete attached below is the missing data related to your question
Given that the percentage of new stores in the Midwest and Northeast is below the 25% there will be need for an additional training for the sales representatives in these regions. while the percentage of new stores in the south is above 25% hence there won't be the need for additional sales representative training.
Percentage of new stores for after 1 month
Midwest = ( 66 / 362 ) * 100 = 18.2%
South = ( 115 / 197 ) * 100 = 58.3%
North east = ( 60 / 250 ) * 100 = 24%
Hence we can conclude that to meet up the 25% sales orders from new stores in each region additional training is required for sales representative s in Midwest and North east only.
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PLS HELP WILL MARK BRAINEST
Answer:
Step-by-step explanation:
Answer is choice A
Both functions are decreasing at a rate of -2. You can find this by finding the slope.
F
E
58>D
C
128
B
128
Answer:
What is the question???
Step-by-step explanation:
Choose all the quadratic pairs that are equivalent. 1 2 (x + 4)2 = 2 x2 + 8x + 15 = 0 (x − 5)2 = 1 x2 − 10x + 26 = 0 3(x − 1)2 + 5 = 0 3x2 − 6x + 8 =
Answer:
Only equation 1 and 2 are equal.
Step-by-step explanation:
2 (x + 4)2 = 2
2( x² + 8x+ 16) = 2 Applying the square formula
2x² + 16x+ 32 = 2
2x² + 16x+ 32 -2= 0
2x² + 16x+ 30 = 0
2( x² + 8x+ 15)= 0 Taking 2 as common
x2 + 8x + 15 = 0------------eq 1
x2 + 8x + 15 = 0-------------eq 2
(x − 5)2 = 1
x²-10x+25= 1 Applying the square formula
x²-10x+25- 1= 0
x²-10x+24= 0-------------eq 3
x2 − 10x + 26 = 0 -------------eq 4
3(x − 1)2 + 5 = 0
3( x²-2x+1)+5= 0 Applying the square formula
3x²-6x+3+5= 0
3x²-6x+ 8= 0-------------eq 5
3x2 − 6x + 8 =1
3x2 − 6x + 8 -1=0
3x2 − 6x + 7 =0-------------eq 6
A body accelerate from ret and cover a certain ditance in a certain time. Uing thi information, dervive the four equation of a uiformly accelerated motion
The four equations of uniformly accelerated motion are:
[tex]v = u + at\\s = ut + (1/2)at^2\\v^2 = u^2 + 2as\\v = u + 2as/t[/tex]
What is uniformly accelerated motion?Uniformly accelerated motion is motion in which the acceleration is constant. The four equations of uniformly accelerated motion are:
[tex]v = u + at[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.[tex]s = ut + (1/2)at^2[/tex], where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time.[tex]v^2 = u^2 + 2as[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled.[tex]v = u + 2as/t[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, s is the distance traveled and t is the time.These equations are derived from the basic kinematic equations of motion which relate velocity, acceleration, distance and time.
The first equation is a result of the definition of acceleration.
The second one is derived from the first equation and the definition of distance.
The third one is derived from the first and second equation by squaring the first equation and then solving for v^2.
The fourth equation is derived by dividing the distance traveled by the time taken.
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A store marks up a laptop 150% from its original price of $399. There is a sale for 25% off all items in the store. What is the sale price for the computer
Answer:
multiply the original price ($299) by the first markup percentage (150%)
299*1.50= $448.50
that is markup price!
then you have to do the sale % (25%)
so you'll multiply your (25%) by your new price ($448.50)
448.50*.25= $112. 125
then you will subtract the sale price ($112.125) by the upcharged price ($448.50)
448.50-112.125= 336. 375
= $336. 38(round off)
What is the prouduct of 2 and 0.73
Answer:
1.46
Step-by-step explanation:
We can represent this problem as an array of dots, where each dot represents 0.73 units.
⚫️ ⚫️
We can see that the resulting product of 2 × 0.73 is just the sum of two dots. We can represent this in equation form as:
0.73 + 0.73
Finally, we can execute the addition by adding the tenths and hundredths of each number separately, then adding everything together at the end.
tenths + hundredths
(0.70 + 0.70) + (0.03 + 0.03)
1.40 + 0.06
1.46
Which graph shows a reflection of point A over the line? *
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
the left point in graph B is left 2 and up 1 from the line while the right point is right 2 and down 1 making them a reflection of each other.
Jonatas é marceneiro e elaborou o projeto de um armário de canto de base triar
Observe, na figura abaixo, um esboço desse projeto.
104
45°
ө,
Abertura
da porta
Jonatas projetou que a porta desse armário tenha um ângulo máximo de abertura equivalente a
da medida do ângulo e indicado nesse esboço.
Qual é a medida do ângulo máximo de abertura da porta desse armário?
A) 62°
B) 90°
C) 208
D) 298
Answer the questions. If you get stuck, consider using pattern blocks.
a. How many1/2s are in 4?
b.How many 2/3s are in 2?
c.How many 1/6s are in 1?
Eight 1/2s are in 4. This can be visualized with pattern blocks, as four triangles (each triangle is 1/2) would be needed to make up a square (4).
What is visualized?Visualization is the process of creating graphical representations of data and information. It can take the form of charts, graphs, diagrams, maps, and other visual representations of data and patterns. Visualization can be used to explore, analyze, and communicate data in an effective and meaningful way, helping to make complex data more accessible and easier to understand. Visualization can also help to uncover trends and relationships that might otherwise be difficult to detect.
b. Three 2/3s are in 2. This can be visualized with pattern blocks, as three hexagons (each hexagon is 2/3) would be needed to make up a rectangle (2).
c. Six 1/6s are in 1. This can be visualized with pattern blocks, as six rhombuses (each rhombus is 1/6) would be needed to make up a hexagon (1).
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What are quadrants examples?
The examples for each of the quadrant is explained below.
Quadrant in math is defined as one of the four regions or sections of the coordinate system and the quadrants are separated by the x-axis and the y-axis and these axes are perpendicular to each other.
Here we have to know the value that must be placed on each quadrant.
Here the first quadrant has both x and y-coordinates are positive.
The second quadrant has the value of the x-coordinate is negative and the y-coordinate is positive.
The third quadrant has both x and y-coordinates are negative.
The fourth quadrant has the value of the x-coordinate is positive and the y-coordinate is negative.
Therefore, the example for each of them are written as
=> Quadrant I = (1, 1)
=> Quadrant II = (-1, 1)
=> Quadrant III = (-1, -1)
=> Quadrant IV = (1, -1)
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You are building an entertainment center for a television. You need to
know the width, height, and diagonal of the
television. The width of the television is 36 inches. The length of the
diagonal of the television is 45 inches. Determine the
height of the television.
can someone pls help me
Answer:
16. 68
17. 97
18. 81
19. 96
20. 84.2
Step-by-step explanation:
A stem in a stem and leaf plot represents the tens place, and the leaf represents the ones place. The dat represented by the graph is the same exact as the numbers:
68, 75, 77, 79, 80, 82, 92, 96, 96, 97
Just by looking at the data, the minimum is 68 and the maximum is 97.
Next, to find the median, we can cross off the same amount of numbers from both sides until we are left with only two,:
68, 75, 77, 79, 80, 82, 92, 96, 96, 97
To find the median, we just find the mean of 80 and 82, which is 81.
The mode is the number that repeats the most, and that number is 96.
Lastly, to find the mean, we add up all the numbers and divide them by the amount of numbers:
(68 + 75 + 77 + 79 + 80 + 82 + 92 + 96 + 96 + 97) / 10
842 / 10
84.2 would be the mean.
Find the measure of x.
14
X
48
x = [?]
Answer:
18.84
Step-by-step explanation:
x is the hypotenuse of the triangle.
For the 48° angle, 14 is the opposite leg.
The trigonometric ratio that relates the opposite leg to the hypotenuse is the sine.
sin 48° = opp/hyp
sin 48° = 14/x
x × sin 48° = 14
x = 14/sin 48°
x = 18.84
It costs $0. 50 per square yard to waterproof canvas. What will it cost to waterproof a canvas truck cover that is 15' x 24'
It will cost $10.00 to waterproof a canvas truck cover that is 15' x 24'.
To find this, we need to first convert the dimensions of the canvas truck cover from feet to yards, since the cost is given per square yard. 15' x 24' = 180 sq ft. 1 sq yard is equal to 9 sq ft, so 180 sq ft/9 sq ft/yard = 20 sq yard. Then we multiply the square yards by the cost per square yard to find the total cost:
20 sq yard x $0.50/sq yard = $10.00.It's important to note that the measurements of the canvas truck cover are given in feet and the cost is given per square yard. It's important to convert it to square yards to match the unit of measurement and calculate the cost.
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no links please it doesnt work and help
Answer:
x = 29
y = 119
Step-by-step explanation:
51 + x = 90
x = 90 - 51
x = 29
y = 90 + x
= 90 + 29
y = 119
3x2 – 7x 7x = 4x – 8
Answer:
x =−1−√93/23,−1+√93/23
Step-by-step explanation:
x=0.37581090…,−0.46276742...
What is the mzb?
34°
76°
bº
Answer:
b^=118
the mzb is 42 we add each numbers by 42
What is the solution to the equation 1 over 24 multiplied by x is equal to 1 over 6?
Answer:
1/2
Step-by-step explanation:
simlified would be 1/2
Item 4
What value of a makes the equation true?
1.7a+0.3a=45
a=−115
a=25
a=135
a=245
Answer:
a = 22.5
Step-by-step explanation:
1.7a+0.3a=45
Add like terms
2a = 45
Divide by 2
2a/2 = 45/2
a = 22.5
[tex]{\huge\fbox\pink{Q}\fbox\blue{u}\fbox\purple{E}\fbox\green{s}\fbox\red{T}\fbox\orange{i}\fbox{O}\fbox\gray{n}}[/tex]
[tex]\maltese[/tex]1.7a+0.3a=45
[tex]{\huge\fbox\blue{A}\fbox\purple{n}\fbox\green{S}\fbox\red{w}\fbox\orange{E}\fbox{r}}[/tex]
[tex]\bold{1.7a+0.3a=45 }[/tex] [tex]\bold{(1.7+0.3)a=45 }[/tex] [tex]\bold{ 2a=45 }[/tex] [tex]\bold{a=\dfrac{45}{2} }[/tex] [tex]\blue{a=22.5 }[/tex]7
A scientist is investigating the weight of 50 tigers.
Here is some information about these tigers.
Number of tigers
Mean weight of tigers (kg)
Siberian
22
260
Type of tiger
The mean weight of all 50 tigers is 218 kg
Work out the mean weight of the Bengal tigers.
Bengal
28
Consequently, there is a 0.89736 percent chance or probability that he weighs fewer than 258 kilograms.
What is probability?Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Here,
we use the z-score algorithm to answer this query.
Score Z = x - μ/σ
x = the raw score
population mean= μ
Population standard deviation is σ
Hence,
x = 258, μ = 220, σ = 30
Z = 258 - 220/30
=1.26667
Probability based on the Z-Table:
P(x<258) = 0.89736
Consequently, there is a 0.89736 percent chance that he weighs fewer than 258 kilograms.
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Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
Diana's savings will be 280 dollars after four weeks.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
300 - 5x
Where x represents the number of the week.
We have to determine Diana's savings after four weeks
As per the question, we have
⇒ 300 - 5x
Substitute the value of x = 4 in the above expression
⇒ 300 - 5(4)
⇒ 300 - 20
⇒ 280
This means her savings will be 280 dollars after four weeks.
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The question seems to be incomplete the correct question would be:
Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
What is her savings after four weeks?
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Simplify all the equations, then we have
A. 2 + x = 5, to simplify the equation, then we have
2 + x = 5
x = 3
B. x + 1 = 4, to simplify the equation, then we have
x + 1 = 4
x = 3
C. 9 + x = 6, to simplify the equation, then we have
9 + x = 6
x = - 3
D. x + (- 4) = 7, to simplify the equation, then we have
x - 4 = 7
x = 11
E. - 5 + x = - 2, to simplify the equation, then we have
- 5 + x = - 2
x = 3
The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.
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Using the least common denominator rename 3/5 and 11/20?
Answer:
12/20 and 11/20.
Step-by-step explanation:
The least common denominator between 3/5 and 11/20 is 20.
For the first equation, we multiple the numerator and denominator by 4 and we get 12/20.
The second equation already has a denominator of 11/20 so we can leave it as is.