Answer:
x = 2.5
Step-by-step explanation:
Multiply 2.5 to remove the denominator
x/2.5 * 2.5 = 1
Multiply 2.5 on the other side.
2.5 * 1
x = 2.5
Answer:
x = 2.5
Step-by-step explanation:
x/2.5=1
To solve this equation, multiply both sides by 2.5
x/2.5* 2.5=1 * 2.5
x = 2.5
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
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
Juan earns a weekly salary of $310 plus a 5.5% Commission on sales at a local hardware store. How much would he earn in a week if he sold $5,100 worth of merchandise?
Answer:
$590.50
Step-by-step explanation:
Juan earns $310 every week.
He earns 5.5% on merchandise sold.
On a week he sells $5100, we need to figure 5.5% of that amount and then add $310.
$5100
X .055
______
$280.50 commission.
+ 310.00 salary for the week
_______
$590.50
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.
More about the trigonometry link is given below.
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find the value of x. A. 23° B. 67° C. 38° D. 33°
Answer:
C
Step-by-step explanation:
67 plus 38 equals 105. the opposite interior equals the outside.
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:
ohhhhhh
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:
I NEED HELP PLEASE I AM BEGGING YOU PLEASE HELP ME !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A factory that manufactures basketballs spends $6 on each basketball that it produces.
Which of the following describes the rate of cost growth at the factory?
A.
both linear and nonlinear
B.
nonlinear
C.
neither linear nor nonlinear
D.
linear
Answer:
D.) Linear
Step-by-step explanation:
There are no exponents
also I had the same question
The rate of cost growth can be seen as the cost of adding 1 unit of basketball to the output. This cost as we know is $6, given for each basketball produced. Since this is constant, the rate of cost growth is seen as linear. Hence option D is the right choice.
What does linear growth mean?A quantity grows linearly if it increases by the same amount per unit of time.
What does non-linear growth mean?A quantity grows non-linearly if the increase in the amount is not the same per unit of time.
How to solve the question?In the question, we are informed that a factory that manufactures basketballs spends $6 on each basketball that it produces.
We are asked to describe the rate of cost growth at the factory.
The rate of cost growth can be seen as the cost of adding 1 unit of basketball to the output. This cost as we know is $6, given for each basketball produced. Since this is constant, the rate of cost growth is seen as linear. Hence option D is the right choice.
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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
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
HELP NOW Which table shows a proportional relationship between x and y? x 1 2 3 6 y 1.5 3 6 9 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 2 4 5 6 y 6 12 18 21
Answer: B - x 1 3 4 5 y 50 150 200 250
Step-by-step explanation: The equation is y = 50x
Answer:
b
Step-by-step explanation:
plz mark brainlyest
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
Good luck please mark me brainliest
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
answer please as best as u can it will help a lot
thanks
Look at the picture.
The triangles ABC and DEC are similar. Therefore the sides are in proportion:
[tex]\dfrac{AC}{DC}=\dfrac{AB}{DE}[/tex]
AC = 4cm + 16cm = 20cm
DC = 16cm
AB = 15cm
DE = r
Substitute:
[tex]\dfrac{20}{16}=\dfrac{15}{r}\to\dfrac{5}{4}=\dfrac{15}{r}[/tex] cross multiply
[tex]5r=(4)(15)[/tex]
[tex]5r=60[/tex] divide both sides by 5
[tex]r=12\ cm[/tex]
The volume of a larger cone:
[tex]V_l=\dfrac{1}{3}\pi\cdot15^2\cdot20=\dfrac{1}{\not3_1}\pi\cdot15\!\!\!\!\diagup^5\cdot15\cdot20=1500\pi\ cm^3[/tex]
The volume of a smaller cone:
[tex]V_s=\dfrac{1}{3}\pi\cdot12^2\cdot16=\dfrac{1}{\not3_1}\pi\cdot12\!\!\!\!\!\diagup^4\cdot12\cdot16=768\pi\ cm^3[/tex]
The volume of the frustum:
[tex]V=V_l-V_s\to V=1500\pi-768\pi732\pi\ cm^3[/tex]
Answer: 732π cm³.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 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]
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.
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:
A sale at a furniture store advertised that all furniture was being sold at 40% off the
original selling price.
a) Write a function that gives the sale price as a function of original selling price.
b) Find the inverse of this function.
c) What does the inverse represents?
The sale price as a function of the original selling price can be represented by the equation: Sale price = Original selling price - (40% of Original selling price). The inverse function represents the original selling price when the sale price is given. It allows us to find the price at which the furniture was originally sold before the discount was applied.
Explanation:a) The sale price as a function of the original selling price can be represented by the equation:
Sale price = Original selling price - (40% of Original selling price)
For example, if the original selling price is $100, the sale price would be:
Sale price = $100 - (40% of $100) = $100 - $40 = $60.
b) To find the inverse of this function, we can swap the dependent and independent variables. Let's call the original selling price 'x' and the sale price 'y'. So, the inverse function is given by:
Original selling price = Sale price + (40% of Sale price)
c) The inverse function represents the original selling price when the sale price is given. It allows us to find the price at which the furniture was originally sold before the discount was applied.
Consider the function fx=3x-1/x+4.
(A) At which value of x will the function not have a solution? Explain your answer.
(B) If g(x) is a vertical shift up 4 units from f(x), write the function g(x). How does the graph of g(x) compare to the graph of f(x)? Explain the function you wrote.
(C) What is the value of x when g(x)=8? Show your work.
Answer:
(A)
[tex]x=-4[/tex]
(B)
[tex]g(x)=\frac{3x-1}{x+4}+4[/tex]
(C)
[tex]x=-17[/tex]
Step-by-step explanation:
we are given
[tex]f(x)=\frac{3x-1}{x+4}[/tex]
(a)
we know that
any function is undefined when denominator =0
so, we can set denominator =0
and then we can solve for x
[tex]x+4=0[/tex]
[tex]x=-4[/tex]
So, it does not have solution at [tex]x=-4[/tex]
(b)
If g(x) is a vertical shift up 4 units from f(x)
Whenever we shift vertically upward by 'a' units , we always add 'a' to y-value
so, we get
g(x)=f(x)+4
we get
[tex]g(x)=\frac{3x-1}{x+4}+4[/tex]
Graph:
(C)
we can set g(x)=8
and then we can solve for x
[tex]8=\frac{3x-1}{x+4}+4[/tex]
[tex]8\left(x+4\right)=3x-1+4\left(x+4\right)[/tex]
[tex]8x+32=7x+15[/tex]
[tex]x=-17[/tex]
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
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:
The circumference of a circle is 62.8mi. what is the diameter?
Answer:
The diameter is 20 mi
Step-by-step explanation:
The circumference of a circle is given by
C = pi*d
We can substitute C=62.8 mi
62.8 = pi* d
Divide each side by pi
62.8/pi = d
Using 3.14 for pi
d = 20 mi
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?
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]
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
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.
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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Which values of s are solutions to the inequality?
s>−10
Select each correct answer.
s=−2
s=−8
s=−18
s=−108
s=−180
Answer:
the answers are s = -2 and s = -8
Step-by-step explanation:
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.
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:
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.