35/23 is an improper fraction because the numerator is larger than the denominator.
To convert to a mixed number, use long division to find 35 into 23 goes in exactly one whole time (quotient) and there is 12 leftover (remainder)
You can see it through doing it like this
35/23 = (23+12)/23 = 23/23 + 12/23 = 1 + 12/23 = 1 & 12/23
So in short, 35/23 = 1 & 12/23
1 & 12/23 is a mixed number with 1 as the whole part and 12/23 as the fractional part.
---------------------
Real life example: if you had 35 cookies and 23 friends, then each friend would get 1 whole cookie. There would be 12 cookies left over.
The question involves understanding improper fractions, specifically 35/23. This fraction is already improper as the numerator is larger than the denominator and it cannot be simplified further.
The student's question pertains to converting an improper fraction, which in this case is 35/23. To clarify, an improper fraction is one where the numerator (the top number) is larger than the denominator (the bottom number). This type of fraction represents a quantity greater than one whole. The student's example already is an improper fraction.
There is no further calculation needed unless the goal is to convert it to a mixed number or to its simplest form, which cannot be done in this case since 35 and 23 have no common factors besides 1.
Being 10 miles apart, two cars started moving towards each other. After one hour they met, and during that time the first car covered 2 miles more than the second car. What was the speed of the first car?
The speed of the first car was 6 miles/hour
Further explanationAcceleration is rate of change of velocity.
[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]
[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]
a = acceleration ( m/s² )
v = final velocity ( m/s )
u = initial velocity ( m/s )
t = time taken ( s )
d = distance ( m )
Let us now tackle the problem!
Given:
Distance between two cars = d = 10 miles
Time Taken = t = 1 hour
Distance covered by the first car = d₁ = 2 + d₂
Unknown:
Speed of the first car = v₁ = ?
Solution:
[tex]d = d_1 + d_2[/tex]
[tex]10 = ( 2 + d_2 ) + d_2[/tex]
[tex]10 = 2 + 2d_2[/tex]
[tex]10 - 2 = 2 d_2[/tex]
[tex]8 = 2 d_2[/tex]
[tex]d_2 = 8 \div 2[/tex]
[tex]d_2 = 4 \texttt{ miles}[/tex]
[tex]\texttt{ }[/tex]
[tex]d_1 = 2 + d_2 = 2 + 4 = 6 \texttt{ miles}[/tex]
[tex]v_1 = d_1 \div t = 6 \div 1 = 6 \texttt{ miles/hour}[/tex]
Learn moreVelocity of Runner : https://brainly.com/question/3813437Kinetic Energy : https://brainly.com/question/692781Acceleration : https://brainly.com/question/2283922The Speed of Car : https://brainly.com/question/568302Answer detailsGrade: High School
Subject: Physics
Chapter: Kinematics
Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle
The speed of the first car is [tex]\boxed{6{\text{ mph}}}[/tex] and the speed of the second car is [tex]\boxed{4{\text{ mph}}}.[/tex]
Further explanation:
The formula of the speed can be expressed as follows,
[tex]\boxed{{\text{Speed}} = \frac{{{\text{Distance}}}}{{{\text{Time}}}}}[/tex]
The formula of the time can be expressed as follows,
[tex]\boxed{{\text{Time}} = \frac{{{\text{Distance}}}}{{{\text{Speed}}}}}[/tex]
Given:
The distance between the two cars is [tex]10{\text{ miles}}.[/tex]
The first car covered 2 miles more than the second car.
Explanation:
Consider the speed of the second car be “[tex]x[/tex]”.
Consider the speed of the first car be “[tex]x+2[/tex]”.
The distance covered by the first car in one hour is [tex]x + 2{\text{ miles}}.[/tex]
The distance covered by the second car in one hour is [tex]x{\text{ miles}}.[/tex]
The total distance covered by two cars is [tex]10{\text{ miles}}.[/tex]
[tex]\begin{aligned}x + 2 + x &= 10\\2x + 2 &= 10\\2x &= 10 - 2\\2x &= 8\\x&= 4\\\end{aligned}[/tex]
The speed of the second car is [tex]4{\text{ miles/h}}.[/tex]
The speed of the first car can be obtained as follows,
[tex]\begin{aligned}{\text{Speed}} &= x + 2\\&= 4 + 2\\&= 6{\text{ miles/h}}\\\end{aligned}[/tex]
The speed of the first car is [tex]\boxed{6{\text{ mph}}}[/tex] and the speed of the second car is [tex]\boxed{4{\text{ mph}}}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Speed and Distance
Keywords: 10 miles, speed of first car, speed of the second car, after one hour, moving toward, each other, 2 miles per hour, one hour.
HELPPP PLZ Write a real-world problem you could answer by solving the equation -8 x + 60= 28
Answer:
Step-by-step explanation:
How many times must you step back 8 inches after stepping forward 60 inches to end 28 inches from your starting point?
x = number of items that cost $8 per piece
if you buy x of these items for 8 dollars each, then 8*x represents how much you've spent so far. If you start off with $60, then 60-8x = -8x+60 is the total amount of money leftover in your pocket.
If you start off with $60 and end up with $28, then -8x+60 = 28 is the equation that models this. Solving for x leads to finding out how many of these items you have purchased. In this case, the solution is x = 5.
Which coordinate pair is the best estimate of the point of intersection in this graph?
A. (1.5, 0.75)
B. (1.75, 0.5)
C. (0.75, 1.5)
D. (1.5, 1.75)
Answer:
A
Step-by-step explanation:
The intersection is made when the red and blue line meet. If you make a mark down that looks like 1.5 and if you go up to your y axis the coordinate is 3/4 around the one since it is not over the one.
A. (1.5, 0.75) coordinate pair is the best estimate of the point of intersection in this graph.
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x, y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
By observing the graph the intersection of the two lines is (1.5, 0.75).
As, It lies somewhat in the middle of x = 1 and x = 2, And for y it is more than 0.5 but less than 1 so it must be (1.5, 0.75).
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Evaluate the expression: –(31 + 2) + 72 – (–5)2.
A. –40
B. 41
C. –5
D. –9
Answer:
The correct answer is 49.
Step-by-step explanation:
We are given the following expression and we are supposed to evaluate it:
– (31 + 2) + 72 – (–5) 2
Solving the terms inside the brackets first, following the order of operations to solve a mathematical expression to get:
= - (33) + 72 - (-5) 2
Then we will do the multiplications to get:
= - (33) + 72 - (-10)
Further adding and subtracting the terms:
= 39 - (-10)
= 39 + 10
= 49
Answer:
D. -9
Step-by-step explanation:
-33 +49 -25 = -9
Excluding trailing zeroes, how many digits does 0.4^24*0.375^22 have to the right of the decimal point?
Answer:
42 digits right of the decimal point.
Step-by-step explanation:
Trailing zeroes are those which we get in decimal representation and after that there comes no digit.
We have been given the expression:
[tex]0.4^{24}\cdot 0.375^{22}[/tex]
We will simplify it to get the result that is the right of the decimal point.
[tex]1.19709242282867431640625\cdot 10^{-19}[/tex]
When we will operate [tex]10^{-19}[/tex] that means decimal point will be shifted 19 digits left of its present position.
Hence, we get:
[tex].000000000000000000119709242282867431640625[/tex]
Hence, 42 digits right of the decimal point.
Answer:
42
Step-by-step explanation:
what does the slope of vertical line look like?
Answer:
As a number, there is no "number" for the slope of the vertical line (N/A)
Step-by-step explanation:
Remember that slope is the "y" measurements. If there is " ' infinite ' " y's, then there is no exact slope measurement, which makes it N/A
~
The slope of a vertical line is undefined because it does not have a definitive rise over run, as the change in x is zero, leading to division by zero. Graphically, slopes indicate the steepness of a line, with positive slopes inclining upward, negative slopes declining downward, and the slope of a horizontal line being zero. Vertical lines have an infinite slope, which is another way of saying they have no defined steepness in the typical sense.
The slope of a vertical line is a concept that often confuses students, primarily because a vertical line does not have a slope in the way we usually understand it. The slope value of a line typically tells us how much the y-value goes up or down for a unit change along the x-axis. For a horizontal line, the slope equals zero, but a vertical line is different. Since the x-value does not change as the y-value increases or decreases, you would be dividing by zero, which is mathematically undefined. Thus, the slope of a vertical line is undefined.
Graphically, if the slope of a line increases, it becomes steeper, and conversely, if it decreases, the line becomes flatter. A positive slope means that as you move to the right along the x-axis, the line goes up. On the other hand, a negative slope indicates that the line goes down as you move right. However, these concepts do not apply to vertical lines, as they do not have a slope that could be described as positive or negative. Instead, their infinite slope is a way of expressing that they are not functionally graded.
Tonya has a box that measures 12 cm by 7 cm by 19cm. what is the volume of the box. Please help
Answer: 1,596 cubic cm. To find the volume, you need to multiply all the three sides given.
Step-by-step explanation:
12cm * 7 cm* 19cm = 1596 cm^3
The volume of the box given the length, width and height is 1,596 cm³
Given:
Length of the box = 12cm
Width of the box = 7 cm
Height of the box = 19 cm
Volume of the box = length × height × width
= 12 cm × 7 cm × 19 cm
= 1596 cm³
Therefore, the volume of the box is 1,596 cm³
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what is a reasonable estimate for the problem 3 3/4 x (- 2/5) a.-2 b.-1/2 c.1/2 d.2
Answer:
a. -2
Step-by-step explanation:
3¾ ≈ 4
-⅖≈ -½
4 × (-½) = -2
A reasonable estimate is -2.
Answer:
Step-by-step explanation: -2
An airplane 28,000 feet above ground begins descending at a constant rate of 2,000 feet per minute. Which equation gives the height, h, of the airplane after m minutes? A) h = 2,000m + 28,000 B) h = 28,000m + 2,000 C) h = 2,000 − 28,000m D) h = 28,000 − 2,000m
30 points
Answer:
Option D is correct.
An equation: h = 28000 -2000m
Step-by-step explanation:
Let h represents the height of the airplane and m represents the minutes.
As per the given statement: An airplane 28,000 feet above ground begins descending at a constant rate of 2,000 feet per minute.
At ground m = 0
h(0) = 28000 feet.
⇒ An airplane descending at a constant rate (r) = - 2000 feet per minute
then,
height(h) of the airplane after m minutes is given by:
h(m) = 28000 - rm ; where r is the rate descending at constant rate and m is the minutes.
Substitute the given values we get;
h(m)= 28000 -2000m
Therefore, an equation which gives the height, h of the airplane after m minutes is; h = 28000 -2000m
Answer:
It IS D) h = 28,000 − 2,000m!
Step-by-step explanation:
The ones digit of a two-digit number is 4 more than the tens digit. Find the number, if the sum of that number and the number reversed is 110.
Answer:
37
Step-by-step explanation:
Let the answer be represented by xy where x is the tens digit and y is the ones digit.
The ones digit of a two-digit number is 4 more than the tens digit.
y = x+4
the sum of that number and the number reversed is 110
xy+yx = 110
Lets rewrite this vertically
x y
y x
------
1 1 0
We can replace y with x + 4 I will put the 4's in a separate row up top for ease of writing
4 4
x x
x x
------
1 1 0
Taking the one's column, we get
2x +4 = 0 and I will assume there is a carry of 10
so rewriting
2x+4 = 10
Subtract 4 from each side
2x+4 -4 = 10-4
2x =6
Divide each side by 2
2x/2 = 6/2
x=3
We still need to find y
y = x+4
Substituting in x
y = 3+7
y =7
The number is xy
37
Answer:
Step-by-step explanation:
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In three rolls of 630 m of paper. In the first and second rolls - 345 m, and in the second and third rolls 450. How many meters of paper in the second roll.
17. Jing has some square tiles He joins the tiles to make a rectangle. There are stiles a re tiles. He joins the tiles to make a rectangle. There are 8 tiles along the length of the rectangle and 9 tiles along the width of the rectangle. What is the total number of tiles that Jing uses to make the rectangle?
Answer:
72 Tiles.
Step-by-step explanation:
Multiply 8 by 9.
8*9=72
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The question is about calculating the area of a rectangle made by square tiles. Jing used a total of 72 tiles by arranging them 8 tiles in length and 9 tiles in width.
Explanation:This is a problem of area calculation in Mathematics. Jing has to create a rectangle using his square tiles. When it is mentioned that there are 8 tiles along the length and 9 tiles along the width of the rectangle, that means Jing is setting tiles 8 in a row (length) and 9 in a column (width).
The total number of tiles used can be calculated by multiplying the length by the width. This calculation is based on the formula for the area of a rectangle, which is length x width.
So, Jing used 8 tiles (length) x 9 (width) = 72 tiles in total to build the rectangle.
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Use the digits 2,3,and 5 to create a fraction and a whole number with a product greater than 2
Product is multiplication.
Since the answer needs to be greater than 2 either the fraction needs to be an improper fraction ( meaning the fraction would be greater than 1) or the whole number would need to be greater than 2.
One answer would be 5 x 2/3 = 3 1/3
What is the length of RS?
Answer:
The answer should be the second option or 10 cm.
The only thing is that PQ is just a little longer than RS and PQ is 10 cm but A. 15 cm is to long, C. 20 cm is also to long and D. 5 cm is to short.
So i belive it is B. 10 cm.
Hope this helped, can i have brainliest?
How to do this question
Answer:
10 tacos costs $15.00
Step-by-step explanation:
I like to use ratio's to solve this type of problem. I will put cost over number of tacos.
$6.00 x dollars
-------- = --------------
4 tacos 10 tacos
Using cross products
6 * 10 = 4 * x
60 = 4x
Divide each side by 4
60/4 = 4x/4
15 =x
10 tacos costs $15.00
Answer:
B) $15.00
Step-by-step explanation:
well if 4 taco = $6 just divid to see how mutch one taco is
6.00 divided by 4 = $1.50
now just times 1.50 by 10 to get $15
hope this helped
what expressions are equivalent to 2(4x+2y)
Answer:4 • (2x + y)
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
4x + 2y = 2 • (2x + y)
Final result :
4 • (2x + y)
Step-by-step explanation:
The expression 2(4x+2y) is equivalent to 8x + 4y.
The expression 2(4x + 2y) can be simplified using the distributive property, also known as the distributive law or the distributive property of multiplication over addition.
This property allows you to distribute the factor outside the parentheses to each term inside the parentheses. Here are some equivalent expressions:
Distributing the 2:
2(4x + 2y) = 2 * 4x + 2 * 2y = 8x + 4y
Using the distributive property in reverse:
2(4x + 2y) = 4x(2) + 2y(2) = 8x + 4y
Factoring out a common factor:
2(4x + 2y) = 2 * (2 * 2x + 2 * y) = 2 * 2(2x + y) = 4(2x + y)
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please help!!!!!!! it would be very appreciated
Answer:
x = 17.5 and y = 35
Step-by-step explanation:
2x + 10 = y + 10 ( alternate angles )
subtract 10 from both sides
2x = y ⇒ 6x = 3y → (1)
the sum of the 3 angles in the triangle = 180°
6x + y + 10 + 30 = 180 ( replace 6x by 3y )
3y + y + 40 = 180
4y + 40 = 180 ( subtract 40 from both sides )
4y = 140 ( divide both sides by 4 )
y = 35
substitute y = 35 into (1)
2x = 35 ( divide both sides by 2 )
x = 17.5
find the area of a parallelogram with base of 11, a height of 8 , and hypotenuse of 9
Answer:
88 square units
Step-by-step explanation:
area= base x height
A=11x8
A=88
Aidan bought 4 slices of pizza and a soda for a total of $7. If a soda costs $1, how much does a slice of pizza cost?
Subtract the cost of the soda from the total price to find how much all the pizza cost. Then divide the total cost of the pizza by the number of slices bought:
7 -1 = 6
Total cost of pizza was $6
6 / 4 = 1.50
Cost for one slice of pizza $1.50
PLEASE HELP WITH THESE 4 questions I DONT GET IT ASAP thank you in advance
Answer:
2. 31/6 3. -12/1 4. integer 5. rational number
Step-by-step explanation:
2. You multiply the 5 by 6/6, so it becomes 30/6, then add the 1/6. getting you the 31/6.
3. Since -12 is already an integer with no mixed part, you just put it over 1.
4. -12 is an integer, but is not a whole number because it is negative.
5. fractions are rational numbers
Answer: 4. is not a rational nmber. You can't multiply a number that will give you 12. 12 has a integer by it, so that means -12 is a integer. 5. is a rational number.
Step-by-step explanation:
Use mental math to solve.find the product and tell which strategy you used 8 *= 194
Answer:
24.25
Step-by-step explanation:
8*x=194
8/8 crosses out and 194/8=24.25
with means x=24.25
Jada and Tonya ran 400-meter race. Jada ran the race in 75.2 seconds. Tonga ran the race 69.07 seconds. How much faster did Tonya run the race
Final answer:
Tonya ran the race approximately 6.13 seconds faster than Jada.
Explanation:
To find out how much faster Tonya ran the race, we need to calculate the difference between their race times.
Tonya's race time is 69.07 seconds, while Jada's race time is 75.2 seconds.
To calculate the difference, we subtract Jada's race time from Tonya's race time: 69.07 - 75.2 = -6.13 seconds.
Therefore, Tonya ran the race approximately 6.13 seconds faster than Jada.
What is the range of f(x)=4•0.5^x?
The range is the output, which would be the Y value.
The Y value would be calculated based on the input value for x.
any positive number raised to any value of x would be a positive number so 0.5^x would always be positive.
That would be multiplied by 4, which is a positive value, so the output ( Y value) would always be positive.
The range for this would be (0,∞)
The range of the function f(x) = 4 · 0.5^x is (0, 4], meaning it includes all numbers greater than 0 up to and including 4.
The value of 0.5^x decreases toward zero but never actually reaches it. Because the base is positive, the function will never produce negative values, so the smallest value f(x) can approach is 0. The coefficient 4 simply scales the output, so the function values will range from 0 to some maximum value, which occurs at x = 0. At x = 0, f(x) is at its maximum value, 4 · 1 = 4. Therefore, the range of the function is (0, 4], where 4 is included and 0 is excluded since the function can get arbitrarily close to 0 but never equal it.
What is sin 60 degree
Okay, notice one thing right off the bat? 60 degrees on a right triangle (unit circle w/ terminal arm) will create the infamous 30-60-90 triangle.
We can use this to our advantage. Since sin is the y-coordinate on the unit circle. We need to solve for the longest side of a 30-60-90 triangle.
We find that the long side (y) of our 30-60-90 triangle is sqrt(3)/2. Since this is in quadrant 1, we know it is positive.
So -- sin60° = sqrt(3)/2
The value of the sine of the angle 60 degrees will be √(3) / 2.
A right triangle's ratio of the hypotenuse's length to the length of the side opposite an angle is represented by the sine function, a trigonometric function. We can calculate the sine function for a generally understood angle of 60 degrees.
Consider an equilateral triangle with all sides equal for a 60-degree angle. The triangle's side across from the 60-degree angle is equal in length to the other sides.
The ratio of the length of the side opposite the 60-degree angle to the length of the hypotenuse is √(3 / 4) because an equilateral triangle has all angles measuring 60 degrees.
Sin 60 degrees hence equals 1/2.
The sine of 60 degrees is, therefore, √(3 / 4) or √(3) / 2.
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A scientist repeated an experiment three times, making 1.42, 3.81, and 4.08 gallons of a new product. How many gallons were made in all?
Answer:
So, total gallons were made in all =9.31 gallons
Step-by-step explanation:
We are given
A scientist repeated an experiment three times, making 1.42, 3.81, and 4.08 gallons of a new product
so,
first experiment =1.42 gallons
Second experiment =3.81 gallons
Third experiment =4.08 gallons
now, we can find total gallons
total gallons = first experiment + second experiment + third experiment
total gallons =1.42 gallons + 3.81 gallons +4.08 gallons
total gallons =9.31 gallons
a spinner with 8 equally sized slices is shown below. The daily is spun and stops on a slice at random. what are the odds in favor of landing on a grey slice?
Answer:
Logically it would be 1/8 chance but since I don't know what color the all are, It's hard to tell
Step-by-step explanation:
SOME ONE FILL IN THE BLANK PLZZZ
The diameter of a sphere is 24 cm. The volume of the sphere is____?
Volume: πr^2h (where h = height and r = radius)
Radius: 12
Height: 24
12^2 * pi * 24 = 10,857.34 cubic centimeters
An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boat from the base of the lighthouse?
Answer:
407.22 foot is the boat from the base of the lighthouse
Step-by-step explanation:
Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.
Let x foot be the distance of the object(boat) from the base of the lighthouse
Angle of depression = [tex]7^{\circ}[/tex]
[tex]\angle CAB = \angle DCA = 7^{\circ}[/tex] [Alternate angle]
In triangle CAB:
To find AB = x foot.
Using tangent ratio:
[tex]\tan (\theta) = \frac{Opposite side}{Adjacent Base}[/tex]
[tex]\tan (\angle CAB) = \frac{BC}{AB}[/tex]
Here, BC = 50 foot and [tex]\angle CAB =7^{\circ}[/tex]
then;
[tex]\tan (7^{\circ}) = \frac{50}{x}[/tex]
or
[tex]x = \frac{50}{\tan 7^{\circ}}[/tex]
[tex]x = \frac{50}{0.1227845609}[/tex]
Simplify:
AB = x = 407.217321 foot
Therefore, the boat from the base of the light house is, 407.22'
Using the tangent of the angle of depression, the distance from the boat to the base of the lighthouse is calculated to be approximately 407 feet.
Explanation:To solve this problem, we need to use trigonometry. The angle of depression from the observer at the top of the lighthouse to the boat is the same as the angle of elevation from the boat to the observer because these angles are alternate interior angles formed by parallel lines (the water's surface and the height level at the observer's eyes) and a transversal (the line of sight from the observer to the boat).
We have a right triangle where the lighthouse height is the opposite side to the angle of elevation, and the distance from the boat to the lighthouse is the adjacent side. Using the tangent function, which relates the opposite side to the adjacent side in a right angle triangle, we can set up the following equation:
tangent(7°) = opposite/adjacent or tan(7°) = 50/adjacent
So the adjacent side, which is the distance to the boat, is:
adjacent = 50 / tan(7°)
Using a calculator we find:
adjacent ≈ 50 / 0.1228 ≈ 407.2 feet
Thus, to the nearest foot, the boat is approximately 407 feet away from the base of the lighthouse.
write the slope-intercept form of the equation of the line described.
through:(2,-2), parrallel to y=-1/2x-4
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)
When lines are parallel, their slopes have to be the SAME.
Since the given line's slope is -1/2, the parallel line's slope is also -1/2
y = -1/2x + b
To find "b", plug in the point (2, -2) into the equation
y = -1/2x + b
-2 = -1/2(2) + b
-2 = -1 + b Add 1 on both sides
-1 = b
y = -1/2x - 1
what are the solutions if the equation x^2+4x+4=25
[tex]\text{Use}\ (a+b)^2=a^2+2ab+b^2\\\\x^2+4x+4=25\\\\x^2+2(2)(x)+2^2=25\\\\(x+2)^2=25\iff x+2=\pm\sqrt{25}\\\\x+2=-5\ \vee\ x+2=5\qquad\text{subtract 2 from both sides}\\\\\boxed{x=-7\ \vee\ x=3}[/tex]
Other method:
[tex]x^2+4x+4=25\qquad\text{subtracr 25 from both sides}\\\\x^2+4x-21=0\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x+7)(x-3)=0\iff x+7=0\ \vee\ x-3=0\\\\x+7=0\qquad\text{subtract 7 from both sides}\\\boxed{x=-7}\\\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}[/tex]