Answer:
35 miles
Step-by-step explanation:
Given: Elliot rides his bike at an average speed of 14 miles per hour.
If he rides his bike at 14 miles every hour, and he was riding for 2.5 hours, all we need to do is take 14 and multiply it by 2:
[tex]2(14)=28[/tex]
We just found out how many miles he went in two hours. To find the remaining half, all we need to do is take his speed, divide it by two, and add it to the rest:
[tex]\frac{14}{2}=7[/tex]
[tex]28+7=35[/tex]
Elliot went 35 miles in 2.5 hours.
He will ride 35 miles in 2 1/2 hours.
Hope this helps.
Im a randomly generated list of numbers from 0 to 6, what is the chance that each number will occur?
Answer:
1/7
Step-by-step explanation:
The list of numbers generated is; 0, 1, 2, 3, 4, 5, 6,
There are 7 possible outcomes and each outcome is equally likely. The probability or chance that each number will occur is given by;
number of times the number occurs / 7
In our case, each number occurs only once, so the chance will be;
1/7
Answer:
of it say 0 out of 3 its on the one with 3 numbers
2. A science museum has a spherical model of the earth with a diameter of 8.5 m. What is the volume of the model? Use 3.14 for and round your answer to the nearest whole number. Show your work.
Answer:
Volume of the sphere model of earth is 321m³
Step-by-step explanation:
Parameter given:
diameter of the sphere = 8.5m
π = 3.14
Volume of a sphere is given as = 4/3 π r³
Where r is the radius of the sphere.
From given diameter, radius = 8.5/2 = 4.25m
Therefore, imputing the parameters in the formular we have:
⇒4/3 × 3.14 × 4.25³
⇒1.333 ×3.14 × 76.766
Volume of the sphere model = 321.31m³ ≅ 321m³
how do i solve 14b^2-2=-3b
Answer:
b1= -1/2, b2= 2/7
Step-by-step explanation:
14b^2-2+3b=0
14b^2+7b-4b
7b(2b+1)-2(2b+1)=0
(2b+1)(7b-2)=0
2b+1=0 , 7b-2=0
b= -1/2 , b= 2/7
This is using the Factor Method
Find the slope and y- intercepts of the line given by 3x+5y=45
[tex]\huge\text{Slope: $\boxed{-\frac{3}{5}}$}\\\huge\text{$y$-intercept: $\boxed{9}$}[/tex]
We need to convert this line to slope-intercept form, or [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
[tex]\begin{aligned}3x+5y&=45&&\smash{\Big|}&&\text{Start with the original equation.}\\5y&=-3x+45&&\smash{\Big|}&&\text{Subtract $3x$ from both sides.}\\y&=\boxed{-\frac{3}{5}}x+\boxed{9}&&\smash{\Big|}&&\text{Divide everything by $5$.}\end{aligned}[/tex]
What is 3/4 plus 4 1/3
Answer:
Step-by-step explanation:
You need to change the denominator into a the least common denominator, 4 and 3 both have 12 in common. 12 is your new denominator but what you to the bottom you must do to the top. So when you multiply 3/4 by 3/3 you will get 9/12.
Then you want to make 4 1/3 into a improper fraction, which would be 13/3 you want to multiply this by 4 and you will get 52/12. You will then add 52/12 to 9/12 and get 61/12 or 5 1/12.
If you need any more help please let me know.
Debits are entered on the _____ side of a T-account. FETL Unscramble
The LEFT side is the correct answer
Debits are entered on the left side of a T-account.
Debits and credits are fundamental concepts in accounting used to record financial transactions. In a T-account format, which visually splits an account into two sides, debits are always entered on the left side of the T-account. Conversely, credits are recorded on the right side.
For example, when a company purchases office supplies for cash, the office supplies account will have a debit entry (left side), while the cash account will have a credit entry (right side). This ensures that the accounting equation balances.
Solve |x| + 7 < 4.
1. {x | x < -11 or x > -3}
2. {x | -3 < x < 3}
3. Ø
Answer:
3. ØStep-by-step explanation:
[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0[tex]|x|+7<4\qquad\text{subtract 7 from both sides}\\\\|x|+7-7<4-7\\\\|x|<-3\to x\in\O\ \text{because}\ |x|\geq0\ \text{for any value of }\ x.[/tex]===================[/tex]
2n^-4 rewrite the expression without using a negative exponent
The expression[tex]\(2n^{-4}\)[/tex] rewritten without a negative exponent is [tex]\(\frac{2}{n^4}\)[/tex]. This means the same as [tex]\(2\)[/tex] times the reciprocal of [tex]\(n\)[/tex] raised to the fourth power.
To rewrite the expression [tex]\(2n^{-4}\)[/tex] without using a negative exponent, we'll follow these steps:
1. Understand the Negative Exponent Rule: The rule states that [tex]\(a^{-b} = \frac{1}{a^b}\)[/tex]. It means that to convert a negative exponent to a positive one, you flip the base to the denominator of a fraction.
2. Apply the Rule to the Given Expression: We apply this rule to[tex]\(2n^{-4}\)[/tex].
3. Simplify the Expression: We simplify the expression to its final form without a negative exponent.
Let's apply these steps:
Step 1: Understand the Negative Exponent Rule
- The rule [tex]\(a^{-b} = \frac{1}{a^b}\)[/tex] tells us that to eliminate a negative exponent, we place the base with the positive exponent in the denominator of a fraction.
Step 2: Apply the Rule to the Given Expression
- Apply this to [tex]\(2n^{-4}\)[/tex]. It becomes [tex]\(2 \times \frac{1}{n^4}\)[/tex].
Step 3: Simplify the Expression
- Simplify [tex]\(2 \times \frac{1}{n^4}\)[/tex] to get the final expression.
Let's simplify it.
Step 3: Simplify the Expression
After applying the negative exponent rule to [tex]\(2n^{-4}\)[/tex], the expression simplifies to [tex]\(\frac{2}{n^4}\)[/tex].
Lara is a skier. She completed a ski race in 1 minute 54 seconds. The race was 475 m in length. Lara assumes that her average speed is the same for each race.
a) Using the assumption, work out how long Lara should take to complete a 700m race. Give your answer in minutes and seconds.
b) Lara's average speed actually increases the further she goes. How does this affect your answer to part a?
Answer:
a) 2 minutes 48 seconds
b) The time would decrease as it takes less time for Lara to finish the race.
Step-by-step explanation:
Speed = Distance / Time
Speed = 475 / 114
Speed = 4.16m/s
Distance = 700m
Time = Distance/Speed
Time = 700/4.16
= 168 seconds
= 2 minutes and 48 seconds
the histogram shows the lengths of flight delays at several airports. hiw many flights were delayed?
The total number of flights delayed at several airport based on the histogram is 25.
How many flights were delayed?An histogram is a graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.
Flight delayed 0 - 1 hour = 9
Flight delayed 1 - 2 hour = 3
Flight delayed 3 - 4 hour = 7
Flight delayed 4 - 5 hour = 5
Flight delayed 6 - 7 hour = 1
Total flights delayed = 9 + 3 + 7 + 5 + 1
= 25
Therefore, 25 flights were delayed.
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Determine the slope of the line that has the following coordinates: (-2, 7) (3 , 3)
Answer: [tex]m=-\frac{4}{5}[/tex]
Step-by-step explanation:
To calculate the slope of the line that has the coordinates given in the problem you must use the formula shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given the points (-2, 7) (3 , 3), when you substitute them into the eequation shown above, you obtain that the slope is the following:
[tex]m=\frac{3-7}{3-(-2)}\\m=-\frac{4}{5}[/tex]
Answer:
[tex] - \frac { 4 } { 5 } [/tex]
Step-by-step explanation:
We are given the following two points on a line and we are to find the slope of this line:
(-2, 7) and (3,3)
We know the formula of the slope is given by:
[tex] \frac { y_2 - y_1 } { x_2 - x_1 } [/tex]
Substituting the given coordinates in the above formula to get:
Slope = [tex] \frac { 7 - 3 } { -2 - 3 } = - \frac { 4 } { 5 } [/tex]
QUICK !!! Find the equation of the linear function represented by the table below in slope-intercept form.
The answer is 1.
To find the answer you would take y/ x for the first thing in the table ( -2/1 ) then the second row of the table ( -1/2 ) then you would find out how much the points increased or decreased.
In this case y went up 1 and so did x so the slope would be 1/1 or just 1. Then check with the other points to make sure it is linear throughout then bam done. :)
PLEASEEEEEE HELPPPP ME
Mr. Stevens is 63 years older than his grandson Tom. In 3 years mr Stevens will be four times as old as Tom? How old is tom PLEASE SOMBODY EXPLAIN STEP BY STEP
find the product of
(x2 + 3x + 1)(x2 + x + 2)
Answer: [tex]x^4+4x^3+6x^2+7x+2[/tex]
Step-by-step explanation:
To solve the exercise you must apply the following proccedure:
- Apply the distributive property.
- Keep on mind that when you multiply two powers with equal base, you must add the exponents.
- Add like terms.
Therefore, you obtain the following product:
[tex]=x^{(2+2)}+x^{(2+1)}+2x^2+3x^{(1+2)}+3x^{(1+1)}}+6x+x^{2}+x+2\\=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2[/tex]
The answer is: [tex]x^{4}+4x^{3}+6x^{2}+7x+2[/tex]
Why?To find the product of the given expression, we need to apply the distributive property and then, group each like term.
The distributive property states that:
(a+b+c)(d+e+f)=a*d+a*e+a*f+b*d+b*e+b*f+c*d+c*e+c*f
Then, we have to group each like term. Like terms are the terms that have the same variable and exponent , for example:
[tex]x+x+x^{2}=2x+x^{2}[/tex]
For this case, the variable "x" has two Like terms, since both have the same exponent (1), then, we add each other in order to group term.
Also, we must remember the following power property:
Product of powers property,
[tex]a^{n}*a^{m}=a^{n+m}[/tex]
So, solving the product we have:
[tex](x^{2}+3x+1)(x^{2}+x+2)=x^{2}*x^{2}+x*x^{2}+2x^{2}+3x*x^{2}+3x*x+6x+x^{2}+x+2\\(x^{2}+3x+1)(x^{2}+x+2)=x^{2+2}+x^{1+2}+2x^{2}+3x^{2+1}+3x^{1+1}+6x+x^{2}+x+2\\(x^{2}+3x+1)(x^{2}+x+2)=x^{4}+4x^{3}+6x^{2}+7x+2[/tex]
Have a nice day!
closest 2 integers closest to -0.001
The closest integers to -0.001 are 0 and -1. -0.001 lies just to the left of 0 on the number line, making 0 the nearest positive integer and -1 the nearest negative integer.
The two integers that are closest to -0.001 are 0 and -1. Since -0.001 is a negative number that is very close to zero, it lies between these two integers on the number line. The integer 0 is the closest on the positive side, and -1 is the closest on the negative side.
Over the summer, Alexis read 15 books in 12 weeks. The diagram below can be used to track her progress. If Alexis read at the same rate each week, how many books had she read in 4 weeks? in 8 weeks? complete the diagram
12weeks-15 books
4 weeks-5 books
8 weeks-10 books
Answer:
4 to 5
8 to 10
Step-by-step explanation:
Please help me on number 5
The answer is 5 slices because a pie is 360 degrees and 360/72=5 making each slice 72 degrees and 5 slices in all.
Answer please !!! how many faces are in the polyhedron ?
Answer:
The correct answer is four
Step-by-step explanation:
From the figure we can see that, it is a triangular pyramid.
The base is a triangle.
In the lateral surface there are 3 faces. All the three faces are triangle shape.
Therefore the given figure consists of four faces.
All the the four faces are in triangular faces.
The correct answer is four
The given polyhedron have four faces where all four faces are in triangular faces.
In a polyhedron, faces refer to the flat surfaces or sides of the three-dimensional object.
These faces are typically polygonal regions and are connected by edges and vertices.
In the figure, the base is a triangle.
and, in the lateral surface there are 3 faces.
Therefore. the given figure consists of four faces.
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The diameter of a circle is 18 cm what is its area in terms of pi
Answer:
A = 81π cm²
Step-by-step explanation:
The formula for area of a circle is A = πr², where r is the radius. The radius is half the diameter, so our radius for this problem is
18/2 = 9. So the area is..
A = π(9²) = π(81)
A = 81π cm²
Answer:81pi
Step-by-step explanation:
I'm really confused, can someone please help me with this problem?
Answer: x = 6.25
5 ÷ 0.8
= 6.25
the points show different locations in joe's town. each unit represents 1 mile
Answer:
7.8 miles
Step-by-step explanation:
-3x - 42 >3
SOLVE THE EQUATION WITH WORK!!!!
A) x > -13
B) x < -13
C) x > -15
D) x < -15
Answer:
D) x < -15
Step-by-step explanation:
-3x - 42 >3
Add 42 to each side
-3x - 42+42 >3+42
-3x > 45
Divide each side by -3. Remember to flip the inequality since we are dividing by a negative
-3x/-3 < 45/-3
x < -15
15) What is the volume of this rectangular prism?
A) 20 in3
B) 50 in3
C) 220 in3
D) 250 in3
Answer:The answer is A) 20 in3.
Step-by-step explanation:
Answer:the answer is 250 in3
Step-by-step explanation:
I took it on USA test prep
Which expression is equivalent to the one shown below? 3 ( 4 g + 11 )
Answer:
12g + 33
Step-by-step explanation:
The equivalent form is an expression which is equal to it. It can be simplified or expanded. Here let's simplify by applying the distributive property.
3(4g + 11) = 12g + 33
This is the simplified form.
which of the following is a correct interpretation of the expression -7-(-11)
Answer:
(B) Start at -7 on the number line and move 11 to the right.
Step-by-step explanation:
They are negatives, but the -(-11) makes the 11 a positive.
The correct interpretation of the expression -7-(-11) is 4.
Explanation:The expression -7-(-11) can be solved by following the rules of operations in mathematics, specifically the rules for subtracting negative numbers. To subtract a negative number, we can think of it as adding the positive number. So, -7 - (-11) becomes -7 + 11. Now, we can add the numbers: -7 + 11 = 4. Therefore, the correct interpretation of the expression -7-(-11) is 4.
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Jessica ran 400 feet in 4 minutes how long would it take her to run 1,200 feet how many feet can she can run in 10 minutes?
Explanation:
400 ft/ 4 m
= 100 ft/ 1 m
Answer:
it would take her 12 minutes to run 1200 ft.
she would run 1000 ft in 10 minutes given she does not slow down from fatigue
how do you represent 12 fourths in 3
Answer:
See below for explanation
Step-by-step explanation:
Another way to think about this is to think "How many fourths are in 3". There are 4 fourths in 1, and there are 3 1's in 3, so we have
3(4) = 12 fourths in 3
Algebraically you can write it as.
1(4)x = 3 this means "one fourth time some value is 3" which is a rewording of what I explained above. Solve for x by multiplying both sides by 4...we get x = 12, so
one fourth, 12 times gives us 3
The fraction 12/4 simplifies to 3 because the numerator and denominator can both be divided by their greatest common divisor, which is 4.
Explanation:The question is related to the conversion of a fraction to a simpler form. The fraction 12/4 can be converted into a simpler form by dividing both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 12 and 4 is 4. So, we can divide the numerator 12 and the denominator 4 by 4.
Here's how to do it:
12 ÷ 4 = 3 4 ÷ 4 = 1
As a result, the fraction 12/4 reduces to the whole number 3. Thus, 12 fourths is represented as 3 in its simplest form.
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Which of the following expression is not equivalent to -4.5 times -8?
(8)(-4.5) is not equivalent because 8 times -4.5 results in negative value
Answer:
(8)(-4.5) would be your answer
Add the polynomial below.
(-12.7z³ - 14z) + (-8.9z³ + 12z + 2)
Answer:
-21.6 z^3 - 2 z + 2
Step-by-step explanation:
(-12.7z³ - 14z) + (-8.9z³ + 12z + 2)
I like to line them up vertically
(-12.7z³ - 14z)
+ (-8.9z³ + 12z + 2)
---------------------------------
-21.6 z^3 - 2 z + 2