To calculate the average speed, divide the total distance travelled by the total time taken. The speed is approximately 2.31 mph and 3.385 fps.
Explanation:To calculate the average speed you divide the total distance travelled by the total time taken. In this case, the distance is one mile and the time is 26 minutes.
To get the speed in miles per hour (mph), first convert the time from minutes to hours by dividing the time in minutes by 60. So, 26 minutes is approximately 0.43 hours. Then, divide the distance by the time to get the speed. Therefore, your speed is roughly 2.31 mph.To convert this to feet per second (fps), first convert 1 mile, which is 5280 feet. Then convert the time from 26 minutes to seconds, which is 1560 seconds.So, when you divide distance by time, you get approximately 3.385 fps.
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What is the quotient 1074 divided by 26
the answer is 44.75 I would explain but ehhhhhhhhhh
Round 0.0695712 to 1 significant figure
It would be 7x10^-2
That number would be rounded to 0.07
what is 18÷(-9) equal
18 divided by (-9) equals -2.
-2 is the answer
So a negative divided by a positive is a negative so do 18/9 =2 and then make it negative
Oak tree is 48 feet tall.Oak tree is as 8 times tall mike.How tall is Mike?
If the oak tree is 48 feet tall, and is 8 times taller than Mike, you must divide 48 by 8 to find that Mike is 6 feet tall. To check your work, multiply 6 by 8 and see that you get 48 feet. Hope I helped!!
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Mike is 6 feet tall. This is determined by dividing the height of the oak tree, which is 48 feet, by 8, because Mike's height is said to be 1/8 of the oak tree's.
Explanation:The subject of this question is a basic math problem involving division. The question states that the oak tree is 8 times as tall as Mike. So, to find Mike's height, we need to divide the oak tree's height by 8.
Applying this to the details given:
Oak Tree height = 48 feet
Mike's height = Oak Tree Height/8
Mike's height = 48/8
Mike's height = 6 feet
So, Mike is 6 feet tall.
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Determine the ordered pair that satisfies the equation, 6x - 3y = 5.
a-(9 ,16/3)
b- (6 , -3)
c- (1,−11/3)
d- (-2 ,−17/3)
Given the equation [tex]6x-3y=5.[/tex]
Check all options:
A. [tex]\left(9,\dfrac{16}{3}\right)[/tex], this means that [tex]x=9, y=\dfrac{16}{3}.[/tex] Substitute these numbers into the left side of the equation equation:
[tex]6\cdot 9-3\cdot \dfrac{16}{3}=54-16=38\neq 5.[/tex]
This option is false.
B. [tex]\left(6,-3\right)[/tex], this means that [tex]x=6, y=-3.[/tex] Substitute these numbers into the left side of the equation equation:
[tex]6\cdot 6-3\cdot (-3)=36+9=45\neq 5.[/tex]
This option is false.
C. [tex]\left(1,-\dfrac{11}{3}\right)[/tex], this means that [tex]x=1, y=-\dfrac{11}{3}.[/tex] Substitute these numbers into the left side of the equation equation:
[tex]6\cdot 1-3\cdot \left(-\dfrac{11}{3}\right)=6+11=17\neq 5.[/tex]
This option is false.
D. [tex]\left(-2,-\dfrac{17}{3}\right)[/tex], this means that [tex]x=-2, y=-\dfrac{17}{3}.[/tex] Substitute these numbers into the left side of the equation equation:
[tex]6\cdot (-2)-3\cdot \left(-\dfrac{17}{3}\right)=-12+17=5.[/tex]
This option is true.
Answer: correct choice is D.
Answer:
Option d
Step-by-step explanation:
Given is a linear equation in x and y as
[tex]6x-3y =5[/tex]
To check whether a point satisfies the equation, let us substitute and check whether the equation holds good
a) [tex]6(9)-3(16/3) = 38 \neq 5[/tex]
b) [tex]6(6)-3(-3) \neq 5[/tex]
c) [tex]6(1)-3(-11/3) = 17\neq 5[/tex]
d) [tex]6(-2)-3(-17/3) = -12+17 =5[/tex]
Since last point satisfies the equation, option d is the answer.
Write the equation of the line that contains the given point and has the given slope.
a) (2, –2), slope = 1.4
b) (–1, 4), slope = –3
WILL GIVE BRAINLIEST!! 20 PT QUESTION
Hey there!!
What is slope-intercept form :
... y = mx + b
( a ) Given :
... ( 2 , -2 ) and slope=1.4
... y = mx + b
... -2 = 2×1.4 + b
... -2 = 2.8 + b
... -4.8 = b
The slope-intercept form :
... y = 1.4x - 4.8
( b ) Given :
... ( -1 , 4 ) and slope = -3.
y = mx + b
... 4 = -3×-1 + b
... 4 = 3 + b
... 1 = b
The slope-intercept form :
... y = -3x + 1
Note :
( m = slope and b = y-intercept )
Hope my answer helps!!
Answer:
... y = mx + b ( a ) Given : ... ( 2 , -2 ) and slope=1.4 ... y = mx + b ... -2 = 2×1.4 + b ... -2 = 2.8 + b ... -4.8 = b The slope-intercept form : ... y = 1.4x - 4.8( b ) Given : ... ( -1 , 4 ) and slope = -3. y = mx + b ... 4 = -3×-1 + b ... 4 = 3 + b ... 1 = b The slope-intercept form : ... y = -3x + 1 Note : ( m = slope and b = y-intercept ) Hope my answer helps more math stuff
Step-by-step explanation:
the sum of 4 times a larger integer and 9 times a smaller integer is 3. the difference between 8 times the larger and 3 times the smaller is 27. Find the integers
what is the constant of variation k of the line y=kx through (5,8)
Answer:
k= 8/5
Step-by-step explanation:
here x= 5 and y= 8
we have y=kx
k= y/x
k= 8/5 this is constant of variation
Answer:
[tex]k=\frac{8}{5}[/tex]
Step-by-step explanation:
find the constant of variation k of the line y=kx through (5,8)
Use equation of line [tex]y=kx[/tex]
k is the constant of variation
LEts find out k using the point (5,8)
x=5 and y=8, plug in the values
[tex]8=k(5)[/tex]
To get k alone, divide by 5 on both sides
[tex]k=\frac{8}{5}[/tex]
The maximum safe load of a bridge is 1500kg to the nearest 10kg. An average soldier is 75kg to the nearest kilogram. Work out an estimate for the maximum number of soldiers that can safely cross the bridge at the same time
If y varies directly with x and y = 3 when x =12, then what is the value of y when x =40?
A.480
B.160
C.10
D.4
Arrange the steps in order to solve this expression sin (3pi/4) cos (pi/12)
To solve sin (3\u03c0/4) cos (\u03c0/12), calculate the value of sin (3\u03c0/4), use the half-angle formula to find cos (\u03c0/12), and multiply the results.
Explanation:To solve the expression sin (3\u03c0/4) cos (\u03c0/12), we need to find the sine and cosine values of the individual angles and then multiply them together. The sine of 3\u03c0/4 is \u221a2/2 and the cosine of \u03c0/12, which is not a standard angle on the unit circle, can be calculated using the half-angle formula since \u03c0/12 is half of \u03c0/6. Therefore, once we have both values, we simply multiply them to get the result of the expression.
53x4 estimate of product Then record the product
Estimate of product: ≈200, 50×4
The real product: 53×4=212
The product of 53 and 4, is 212.
The question is asking to estimate the product of 53 and 4, then to record the actual product of these numbers. To estimate, we could round 53 to the nearest ten, which would give us 50, and then multiply by 4:
50 x 4 = 200.
The actual product is calculated by multiplying 53 by 4:
53 x 4 = 212.
So the estimate of the product is 200 and the actual product is 212.
Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain for this function?
A 0 to 100 miles per hour
B 0 to 50 miles per gallon
C times from 0 to 10 minutes
D times from –10 to 10 minutes
Answer:
A) 0 to 100 mph
Step-by-step explanation:
the range would be the mpg, and domain would be speed.
That would be the best presentation.
what is the area of the square
the area of the square would be 49
49 inches (7 multiplied by 7)
Blue Sky International Airport handles passenger to cargo traffic in a ratio of 8 to 5. If 45 cargo planes landed yesterday, how many passenger flights came in?
Answer:
72 passenger planes
Step-by-step explanation:
ratio passenger to cargo = 8 to 5 = 8/5
Let p = number of passenger planes.
The ratio of passenger to cargo planes that actually landed is p/45.
The ratio in general is 8/5, so 8/5 must equal p/45.
p/45 = 8/5
5p = 45 * 8
p = 9 * 8
p = 72
Answer: I'm guessing 72
Step-by-step explanation:
its says 8 to 5. If you read it correctly you will know that 8 is the number of passengers and 5 is the number of cargo. 45 ÷ 5 = 9 x 8 = 7210 - 17 show work if u can
10. You are finding 3% of 100, or .03 x 100. The product should be 3.
11. You are finding the whole amount of 3, or 1 x 3. The product should be 3.
12. Again, find 80% of 120, or 0.80 x 120. The product should be 96.
13. This time, because the number is greater than 100%, you would write it as 1.15 x 6. The answer should be 6.90.
14. In this scenario you are going backwards--meaning instead of using multiplication you use division. If 32 is the amount inside of 128, you divide 32 by 128. The quotient should be 0.25, or 25%.
15. Just like #14 (except phrased differently), 3 is inside of 36, so you divide 3 by 36. The quotient should be 0.08333... or about 8%.
16. In this problem you will have to divide again, except (because the decimal is given) you divide the amount left, 23.7, by the decimal/percent, .30. The quotient should be 79.
17. This problem is also the same as the previous, just phrased differently. 7[tex]\frac{1}{2}[/tex]%, or 7.5% is written as 0.075 in decimal form. Again, divide the amount left, 12, by the decimal/percent, 0.075. The quotient should be 160.
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Simplify: |4 - 2 • 1| - 17|8 - 13|
Step 1. Simplify 2 * 1 to 2
|4 - 2|-17|-13|
Step 2. Simplify 4 - 2 to 2
|2|-17|8-13|
Step 3. Simplify 8 - 13 to -5
2 - 17|-5|
Step 4. Simplify |-5| to 5
2 - 17 * 5
Step 5. Simplify 17 * 5 to 85
2 - 85
Step 6. Simplify
-83
Answer:
your answer is -83
Step-by-step explanation:
jonathan's parents told him that for every 5 hours if homework or reading he completes,he would be able to play 3 hours of video games.His friend lucas's parents told their son that he could play 30 minutes for ever hour of homework or reading time he completes. If both boys spend the same amount of time ob homework and reading this week,which boy gets more time playing video games? How do you know?
Jonathan studies for 5 hours and get to play 3 hrs.
Lucas studies for 1 hour and gets to play for 30 min =0.5 hrs
so if Lucas also studies for 5 hours he gets to play 0.5 * 5 = 2.5 hours which is less than Jonathan.
So Jonathan gets to play more
Explain and demonstrate how to change 4/20 into a percent
4/20 is equivalent to 20%.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following fraction -
4/20
We can convert it into percent as -
[x]% = (4/20) x 100
[x]% = 20%
Therefore, 4/20 is equivalent to 20%.
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Hey! I was wondering if someone could explain to me how solving two-step inequalities works. Thanks!
Here is the inequality:
[tex]-2x+6<20[/tex]
You're looking for x. To find it, you have to remove everything on the same side of the variable. The only thing with it is positive 6. To remove it, you have to do the opposite of it, which is -6, which is also the same as subtracting 6. Subtract 6 from both sides:
[tex]-2x+6-6<20-6 \\-2x<14[/tex]
Now you have -2x. When you have a negative variable, the inequality sign changes. Change the sign:
[tex]-2x<14 \rightarrow -2x>14[/tex]
You're looking for x alone. To leave x alone, you have divide both sides by -2 since the variable is -2x. Divide both sides by -2:
[tex]-2x \div -2 > 14 \div -2 \\\\x>-7[/tex]
When dividing a negative number number by a positive or vice versa, the result is ALWAYS negative. That's why in your answer, it's -7.
Your answer is x > -7
GRAPH:
Divide 88800 by a 100 explain the shift of the digits and the change in the value of each digit
it shifts one to the right and you take out a 0
the change in the digits is 10x (10 times) less
How do you solve 24 divided by 3/8?
The quotient from the given division is 64.
Given that, 24 divided by 3/8.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, 24 ÷ 3/8
= 24 × 8/3
= 8 × 8
= 64
Therefore, the quotient from the given division is 64.
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What would my final balance be if I put $425 in the bank for 48 months with an interest rate of 4.75%?
B.)$80.75
C.)$505.75
D.)$344.25
Needed for test corrections by tomorrow. ASAP!
I see choice (A) is missing, so I am giving you two solutions for you to understand and decide which one applies:
(1) Final balance with compound interest - meaning every year you add the year's interest to the principal and earn interest on the increased amount, etc. This is the actual case in real banks:
principal amount is $425 at (annual) interest rate 4.5%
interest amount for 1 year $19.13
Now, use the formula for compound interest
total balance = principal*(1+interest rate)^year
[tex]\$425\cdot(1.0475)^4= \$511.68[/tex]
So the amount after 4 years with compound interest should be $511.68
(2) the silly way: earn interest of $20.1875 every year and keep it separately (not earning additional interest). That'll make 425+4*20.1875=$505.75 which is answer (C)
so if your (A) matches my solution (1) then go with that. If not, choose (C).
Find two numbers the exact answer is between 6 x 7,381
I got 37,286 the steps were...
2 4
7,381
× 6
---------
37,286.
Am I suppose to multiply?
solve for x
[tex] \frac{x}{a} = \frac{x}{b} [/tex]
[tex]Domain:\ a\neq0\ \wedge\ b\neq0[/tex]
[tex]\dfrac{x}{a}=\dfrac{x}{b}\qquad|\text{cross multiply}\\\\bx=ax\qquad|\text{subtract ax from both sides}\\\\bx-ax=0\\\\x(b-a)=0\qquad|\text{divide both sides by }\ b-a\neq0\\\\x=0[/tex]
[tex]\dfrac{x}{a}=\dfrac{x}{b}\\\\if\ a\neq b\ then\ x=0\\\\if\ a=b\ then\ x\in\mathbb{R}[/tex]
The highest point in the United States is Mount McKinley in Alaska. Its summit is 20,335 feet above sea level. Badwater, a basin located in Death Valley, is the lowest point in the United States at 282 feet below sea level. How high is the summit of Denali above the Death Valley location? (How far apart are the two distances?) *
Answer:
20,053
Step-by-step explanation:
20,335 - 282 = 20,053
Answer:
20617 feet is your answer
Step-by-step explanation:
You are subtracting the two numbers. Note however, that 282 feet below the sea level = -282
Subtract.
20335 - (-282) = answer
Note that two negatives = one positive
20335 + 282 = answer
20617 = answer
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~Senpai
Jodi walks 35 minutes a day. If she walks for 240 days,how many minutes altogether does Jodi walk?
Jodi walks 35 minutes a day, for 240 days
Multiply 35 with 240
240 x 35 = 8400
8400 minutes is your answer
hope this helps
Hello AnnaGracePollard, here is the answer to your question:
Here we just need a simple multiplication, like this:
35 minutes * 240 days = 8400 minutes
So the answer is: In 240 days, Jodi walked for 8400 minutes.
Hope this answered your question!
Find the area shaded in yellow.
Im not sure but the answer might be 52. I just found the area of the whole box, and then found the area of the red box only. I subtracted the area of the red box from the whole box and got 52.
66 square units, because you count the number of yellow squares
How to write 2.6 in word form
two - point six
is the answer
The answer you are looking for is "Two and six tenths".
The reason this is, is because 2 is left of the decimal, which makes it "two". Since 6 is to right of the decimal, you have to look at how far it is from the decimal. It being directly after the decimal, it is in the tenths place, making it six tenths. Thus meaning the answer is two and six tenths.
I hope this helps!
can u plz help me answer this
2 7/8 is 2.875 in decimal and then compare it to 2.75
2.875 > 2.75
therefore the answer is >(greater than)
answer: [tex]2\frac{7}{8} < 2.75[/tex]
work: if you turn [tex]2\frac{7}{8}[/tex] into a decimal it would be [tex]2.25[/tex].
[tex]>[/tex] means greater than.
[tex]<[/tex] means less than.
so [tex]2.25[/tex] would be less than [tex]2.75[/tex] or in other words [tex]2\frac{7}{8} < 2.75[/tex] which would be your final answer.
hope this helps! ❤ from peachimin