Answer:
5
Step-by-step explanation:
[tex]\frac{7}{4}+\frac{1}{4}+\frac{5}{3}+\frac{1}{3}+\frac{1}{2}+\frac{1}{2}\\\\ =\frac{8}{4}+\frac{6}{3}+\frac{2}{2}\\ \\ =2+2+1\\ \\ =5[/tex]
Evaluate the expression 2a+3d
Answer:
Step-by-step explanation:
Nothing further can be done with this topic
So, your answer would have to be 2a+3d
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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hey guys can anyone help me!.
Answer:
m=4
Step-by-step explanation:
Answer:
m = 4
Step-by-step explanation:
The shape on the right is 2/3 times smaller than the shape on the left.
This means multiplying the side lengths of the shape on the left by 2/3 will give you the side lengths of the shape on the right.
Take a look.
[tex]9 * \frac{2}{3} = 18/3 = 6[/tex]
[tex]6 *\frac{2}{3} = 12/3 = 4[/tex]
Therefore, the value of the missing side length, m, is 4.
can someone please help me
Answer:
58
Step-by-step explanation:
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On a certain hot summer day, 431 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled to $788.50. How many children and how many adults swam at the public pool that day?
The number of adults at the public pool that day is 284 and the number of children is 147.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Let x be the number of adults and y be the number of children who used the swimming pool.
Total number of people used the swimming pool = 431
x + y = 431
Daily price for adults = $2.00
Daily price for children = $1.50
Total amount for admission = $788.50
2x + 1.5y = 788.5
We got two linear equations here :
x + y = 431 and 2x + 1.5y = 788.5
x + y = 431 ⇒ x = 431 - y
Substituting this in second equation,
2(431 - y) + 1.5y = 788.5
862 - 2y + 1.5y = 788.5
-0.5y = -73.5
y = 147
x = 431 - 147 = 284
Hence the number of adults is 284 and the number of children is 147.
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Write (-6,3) (4,-3) in slope intercept form
Answer:
y=-3/5x-3/5
Step-by-step explanation:
I started off by finding the slope by using the slope formula. then i plugged in one of the ordered pairs into thr slope intercept form to find the value of b.
F
E
58>D
C
128
B
128
Answer:
What is the question???
Step-by-step explanation:
The difference between two numbers is 10. The smaller number is 8.
Which of the following is the equation of the statement above?
10 - x = 8
x + 8 = 10
x - 8 = 10
8 - x = 10
Answer:
x - 8 = 10
Step-by-step explanation:
The smallest number is 8 so it's subtracting 8. 10 is the difference between the two numbers because it's the answer.
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.
What is the mzb?
34°
76°
bº
Answer:
b^=118
the mzb is 42 we add each numbers by 42
Which expression can represent 4 less than the quotient of 192 and 3?
A (192 x 3) - 4
B (192 ÷ 3) - 4
C 4 - (192 x 3)
D 4 - (192 ÷ 3)
Answer: B
Step-by-step explanation:
Because if you were finding the quotient, you would divide, then subtract 4.
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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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
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[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]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)
Shawn keeps his photos in a box like the one shown.
What is the volume of the box?
Answer:
288 in.
Step-by-step explanation:
when it comes to finding the volume of a box you just multiply the width, length and height and you will get the volume
6 in. x 12 in. x 4 in. = 288 in.
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
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.
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.
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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Graph the line that passes through the points (9, -1) and (6, 1) and determine the equation of the line.
The equation of the line will be y = -2/3x + 5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line passes through points (9, -1) and (6, 1).
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 1 - (-1) / ( 6 - 9 )
Sloe = - 2 / 3
The y-intercept will be calculated as,
y = mx + c
-1 = (-2/3) x 9 + c
c = 5
The equation of the line,
y = mx + c
y = -2/3x + 5
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Is 8:2 greater than 5:1?
I need someone to help me clarify if this is correct. Thanks.
Answer:
No, 8:2 = 4:1 which is less than 5:1
Step-by-step explanation:
Answer:
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[tex]8 : 2 \\ = \frac{8}{2} \\ = 4[/tex]
[tex]5 : 1 \\ = \frac{5}{1} \\ = 5[/tex]
8 : 2 = 4, while 5 : 1 = 5.
4 < 5.
•°• 8 : 2 is not greater than 5 : 1.
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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.
Between which two positive integers does V33 lie?
Answer:
0-1 Integers are whole numbers
Step-by-step explanation:
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
hello please help i’ll give brainliest
3x2 – 7x 7x = 4x – 8
Answer:
x =−1−√93/23,−1+√93/23
Step-by-step explanation:
x=0.37581090…,−0.46276742...
Two has 4 2/3 pitches of juice. One glass holds 1/6 of a pitcher. How many glasses can teo fill?
Teo can fill 28 glasses in 4 2/3 pitches of juice.
Teo has 4 2/3 pitches of juice.
First we write the improper fraction (mixed fraction) as a proper fraction.
4 2/3
= [(4 × 3) + 2] / 3
= (12 + 2) / 3
= 14/3
One glass holds 1/6 of a pitcher.
Let m number of glasses hold 14/3 pitches of juice.
By unitary method,
m × (1/6) = 14/3
To find the value of m we need to divide fractions.
m = (14/3) / (1/6)
m = (14/3) × (6/1)
m = 14 × 2
m = 28
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What percent students have height between 62 inches and 64 inch
Answer:The following list of data represents highway fuel consumption in miles per gallon. (mpg) for Hint: you will need to calculate the midpoint for each class. Age (yrs) C. What percentage of women are between 62.5 inches and 67.5 inches? 65. 68 ... If the top 15% of the students get A's, what is the cut-off score for an A? 75.
Step-by-step explanation:
sorry if this is wrong
Percent students having height between 62 & 64 inches, is 25%
As per the linear presentation, data is spread evenly between 58 to 66 inches.
The total 100% students are divided evenly in 8 segments, from 58 - 59 inches to 65 - 66 inches. So each segment has 100 / 8 = 12.5%
Hence, percentage students having 62 to 64 inches has 2 unit segments. They are 12.5 x 2 = 25% students.
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What is the area of the base in the figure below? A cylinder with height 12 and diameter 6. 9 square units 9 pi square units 72 square units 72 pi square units
Answer:
Area of circle = 9π square unit
Step-by-step explanation:
Given:
Height of cylinder = 12 units
Base diameter of cylinder = 6 units
Find:
Area of base
Computation:
Base Radius of cylinder = Base diameter of cylinder / 2
Base Radius of cylinder = 6 / 2
Base Radius of cylinder = 3 unit
Area of circle = πr²
Area of circle = (π)(3)²
Area of circle = 9π square unit
Answer:
Option B, 9 pi square units.
Step-by-step explanation: