the given expression is,
16x = 156.8
x = 156.8/16
x = 9.8
thus, the answer is 9.8
Answer:
x = 9.8
Step-by-step explanation:
16x=156.8
x = 156.8/16
x = 9.8
Omar and Devin both leave the bookstore at the same time, but in opposite directions. If Devin travels 7 mph faster than Omar and after 3 hours they are 93 miles apart, how fast is each traveling?
Omar and Devin both leave the bookstore at the same time, but in opposite directions.
Let the speed of Omar = x
Speed of Devin = x + 7
They travel for 3 hours
Speed = Distance/Time
Distance = Speed x Time
Since, they are 93 miles apart
93 = (speed pf Omar + Speed of Devin) Time
93 = (x + x + 7)3
93 = (2x + 7)3
93 = 6x + 21
93 - 21 = 6x
6x = 72
x = 72/6
x = 12
Thus, Speed of Omar is 12 mph
Speed of Devin : x + 7
x + 7 = 12 + 7
= 19
Thus, speed of Devin is 19mph
6) Endpoint: (5,0), midpoint: (1, -1)
hello
we're required to find the second end point from the given values
end point = (5, 0)
mid point = (1, -1)
to solve this problem, we'll need to use thw formula for mid-point
[tex]x,y=\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}[/tex]now let's identify our variables
[tex]\begin{gathered} x=1,y=-1, \\ x_1=5,y_1=0 \\ x_2=\text{ ?} \\ y_2=\text{ ?} \end{gathered}[/tex]let's substitute in our values and solve respectively
[tex]\begin{gathered} x=\frac{x_2+x_1}{2} \\ 1=\frac{x_2+5}{2} \\ \text{cross multiply both sides} \\ 1\times2=x_2+5 \\ 2=x_2+5 \\ x_2=2-5 \\ x_2=-3 \end{gathered}[/tex]now let's do the same for y
[tex]\begin{gathered} y=\frac{y_2+y_1}{2} \\ -1=\frac{y_2+0}{2} \\ \text{cross multiply both sides} \\ 2\times-1=y_2+0_{} \\ -2=y_2 \\ y_2=-2 \end{gathered}[/tex]the values of the other end point are (-3, -2)
meic had m CDs. He gave 3 CDs to a friend. How many CDs does meic have now?
AS per the concept of algebraic expression, There are m - 3 CDs meic have now.
Algebraic expression:
Algebraic expression refers the idea of expressing numbers using letters or alphabets without specifying their actual values.
Given,
Meic had m CDs. He gave 3 CDs to a friend.
Here we need to find the number of CDs does meic have now.
Here we know that the number of CDs Meic have is M.
Ad he gave 3 of his CDs to his friend.
Which means that 3 number of CDs in the total number is reduced.
So, the total number of CDs is calculated as,
=> number of CDs - 3
Therefore, the number f CDs does Meic had is m - 3.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
you have to solve the system:
1)W=L-6
2)W*L=72
so (L-6)*L=72
L^2-6L-72=0
(L-12)*(L+6)=0
so the answers for L are 12 and -6,but we only consider 12 cause there can't be -6miles. so L=12
and W=12-6, so W=6.
Answer:
Width = 6mi
Length = 12mi
Step-by-step explanation:
Let's say our length = x
Since the width is 6 miles less than the length, width = x - 6
The area of rectangle is width x length so just substitute your values
(x - 6)(x) = 72
therefore: x^2 - 6x = 72
*subtract 72 to form a quadratic equation
x^2 - 6x - 72 = 0
*solve by factorising
(x+6)(x-12) = 0
therefore x = -6 or 12
Since you can't have a negative length, x = 12
thus, our length is 12mi
To find the width, just subtract 6 which = 6mi
So: length = 12mi and width = 6mi
J
9x-18,
M
B
- Part A What is the value of x? (1 point)
Ox=3
Ox=18
Ox=30
Ox=9
3x
Part B Find JM in the previous item. (1 point)
OJM=3
OJM=9
OJM=54
OJM=63
K
Answer:
[tex]x=3, JM=9[/tex]
Step-by-step explanation:
The triangles are congruent by SAS. Using CPCTC,
[tex]9x-18=3x \\ \\ -18=-6x \\ \\ x=3 \\ \\ \\ \\ JM=9(3)-18=9[/tex]
The equation 2x = 50-3x can be solved by graphing y = 2x and y=50-3x,
Use the drop-down menu to complete the statement to explain why a graph can be
used to solve this equation. Answer
The solution of the equation is x = 10. The graph is attached below.
We are given an equation. The equation has one variable. The equation is given below.
2x = 50 - 3x
First of all, we will solve the equation directly to find the solution.
2x = 50 - 3x
5x = 50
x = 10
The above equation can be also be solved by graphing y = 2x and y = 50 - 3x. These are two linear equations. These equations represent two straight lines. The solution is found by locating the intersection point of these two straight lines on the graph. The graph of the two straight lines is attached below.
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Answer:
20 is the answer
Step-by-step explanation:
How many different values can a 16-bit binary number store? How many digits are needed fora hexadecimal number to do the same? How about a base-5 number? Show your work.
A very simple way to know the number of possible combinations in a binary number is given by the next formula:
[tex]2^n=2^{16}=65536^{}[/tex]Now, we should remember that an hexadecimal number contain 16 different digits, from 0 to F. Therefore
[tex]\begin{gathered} 16^n=65536 \\ n\ln 16=\ln 65536 \\ n=\frac{\ln 65536}{\ln 16} \\ n=4 \\ 16^4=65536 \end{gathered}[/tex]Thus, we will need 4 hexadecimal numbers to achieve the same values as a 16-bit number.
For the base-5 number we can do a similar procedure:
[tex]\begin{gathered} 5^m=65536 \\ m\ln 5=\ln 65536 \\ m=\frac{\ln 65536}{\ln 5} \\ m=6.89\approx7 \\ 5^7^{}=78125 \end{gathered}[/tex]Therefore, we would need at least 7 numbers base-5 to achieve something similar to 16-Bit number
What is the slope of the line that passes through the points (12, -13) and (-18, 11)? Round your answer to the nearest tenth.
The slope of the line is 0.8.
What is slope of the line?
The slope of a line is also called its gradient or rate of change. The slope formula is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, (x1, y1) and (x2, y2), to calculate the change in y over the change in x.
slope of the line = (y2-y1)/x2-x1
Here, the points are (12,-13) and (-18,11)
x1=12,y1=-13, x2=-18, y2=11
m (slope of line) = 11+13/(-18-12)
=24/-30
=-4/5
=0.8
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Problem iD: PRABERUZ On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled 1 in miles, d, to the number of hours flying, t, is t=d. How long will it take the airplane to travel 800 miles? 500 Do not include units (hours) in your answer. copted for free from openupresources.org
We have a relation between the distance traveled in miles (d) and the number of hours flying (t) that is t=(1/500)*d.
Then, when d=800, we have:
[tex]\begin{gathered} t=\frac{1}{500}\cdot d \\ t=\frac{1}{500}\cdot800=\frac{800}{500}=1.6 \end{gathered}[/tex]The time is 1.6 hours.
Answer: 1.6
Whats the anwser? need it asap
Answer:
B, yes because if you fold it in half then you have symmetry
Step-by-step explanation:
The quality of being made up of exactly similar parts facing each other or around an axis.
Which equation best describes the graph of the line that has 1 slope and passes through point (3,-9)? 3
The price of a new car is $19995.00. The sales tax rate in Florida is 6.5%. What is the amount of tax on the car?
Answer:
the amount of tax on the car is $1299
Draw the figure and its rotation as described. Identify the coordinates of the image. J(−4, 1), K(−2, 1), L(−4,−3) 90° clockwise about vertex L.
The new coordinates of the image after rotation are L′(−4,1), J′(0,−3), and K′ (0,−5).
Step 1:
The first thing we have to do is to graph the figure. We will color it red. The graph is shown below:
Step 2:
We know that the distance between L and J is 4 units upward. If we rotate it 90° clockwise, the direction will become right. Therefore,
J′ is 4 units to the right of L. We can see that the distance between
J and K is 2 units to the right. If we rotate it 90° clockwise, the direction will become downwards. Therefore, K′ is 2 units down of L′.
Then, connect L and K′ to complete the figure. The new coordinates are L′(−4,1), J′(0,−3), and K′ (0,−5). We will graph it and color it blue.
Hence the answer is the new coordinates of the image after rotation are L′(−4,1), J′(0,−3), and K′ (0,−5).
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Solve this equation by factorising:
y² + 3y - 10 = 0
Answer:
y = 2
Step-by-step explanation:
The limousine that you hired costs $400 plus $45 for each hour of service. If your total cost for the limousine is $670, how many hours did you have the vehicle?
Answer: 6 hours
Step-by-step explanation:
670-400
270
270/45
6 hours
7) X to the third equals 216
Explanation
[tex]x^3=216[/tex]
Step 1
we can use the fact that
[tex]\sqrt[m]{a}=a^{\frac{1}{m}}[/tex]to isolate x, or in other words we can take the cubic root in both sides
so
[tex]undefined[/tex]x
Help asap, The graph compares the total cost of buying movie tickets for members and nonmembers of a movie club
A negative correlation is the relationship where an increase in one of the variable say x lead to a decrease in the other variable say y
In the question given, the variables are the number of workers in the x- axis and the hours of complete job in the y axis
Therefore option C is the only option where increase in the number of workers led to decrease in the hours of complete job
Hence the correct answer is option C
Determine the equation of the line that passes through the point (1/−3,−9) and is perpendicular to the line 5y+x=1.
Given the following equation of a line:
[tex]5y+x=1[/tex]We will write the equation in the slope-intercept form: y = m x + b
[tex]\begin{gathered} 5y+x=1 \\ 5y=-x+1 \\ \\ y=-\frac{1}{5}x+\frac{1}{5} \end{gathered}[/tex]Now, we will find the equation of the line that is perpendicular to the given line.
Note: if the slope of the given line = m
So, the slope of the perpendicular line = -1/m
From the given line: slope = m = -1/5
So, the slope of the perpendicular line = -1/m = 5
The required line passes through the point (-1/3, -9)
We will use the point-slope form to write the equation of the required line:
[tex]\begin{gathered} (y-k)=m*(x-h) \\ \\ y-(-9)=5*(x-(-\frac{1}{3})) \\ \\ y+9=5x+\frac{5}{3} \end{gathered}[/tex]Simplify the equation to be like the standard equation:
[tex]\begin{gathered} y+9=5x+\frac{5}{3}\to\times3 \\ 3y+27=15x+5 \\ \\ 3y-15x=-22 \end{gathered}[/tex]So, the answer will be:
3y - 15x = -22
A book was bought for $40 and later sold at profit of 25%. What was the selling price of the book?
Answer:
The book was 50 dollars
Step-by-step explanation:
0.25% x 40 dollars = $10
10 + 40 (the original amount) = $50
Answer:
$50
Step-by-step explanation:
25% of $40 is $10 dollars. so a book sold with 25% profit is $50
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
8) Use the graph below to answer the question. If there are 180 students 10 pointsin the girls athletics program, then how many students participated insoccer?SPORTSSOCCER15% VOLLEYBALL20%TRACK35%BASKETBALL30%O 15O 202734
Soccer = 15%
Track = 35%
Vellyball = 20%
Basketball = 30%
Total = 100%
Number of students = 180
[tex]\begin{gathered} \text{Student that participated in soccer = }\frac{15}{100}\text{ x 180} \\ =\text{ }\frac{15\text{ x 180}}{100} \\ =\text{ }\frac{2700}{100} \\ =\text{ 27} \end{gathered}[/tex]a. Identify the form the quadratic is written in andstate the feature of the parabola that could befound.i. y = (x + 2)² - 5Answer:ii. y =- x² + 7x-12Answer:y = (x –9)(x +4)Answer:
i)
The vertex form of a quadratic equation of a parabola opening upwards or downwards is,
[tex]y=a(x-h)^2+k\ldots\ldots(1)[/tex]Here, (h,k) is the coordinates of the vertex of the parabola. If a is positive, the parabola is facing up and if a is negative, the parabola is facing down.
The given equation of parabola is,
[tex]y=(x+2)^2-5\ldots\ldots(2)[/tex]So, the given equation is in the vertex form of the quadratic equation.
Comparing equations (1) and (2), we get
a=1, h=-2, k=-5.
Since a is positive, the parabola opens upwards. The coordinates of the vertex of the parabola is (-2,-5).
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
"how long" is the question.
so, we will need an answer in seconds.
the other options do not define a time duration.
to fall from top to the ground it means the object fell 1503 ft, that means that s(t) = 1503.
16t² = 1503
t² = 1503/16
t = sqrt(1503/16) = sqrt(9×167/16) = 3/4 × sqrt(167) =
= 9.692135987... seconds
it took the object 9.692135987... seconds to fall from the top to the ground.
Justin is taking an anti-flammatory drug and he must receive 6 milligrams for each 17 kg of weight. Justin weighs 244 pounds
Justin is taking an anti-flammatory drug and he must receive 6 milligrams for each 17 kg of weight.
Justin's weight is 244 pounds i.e., 110.677 Kg.
Theerfore, the amount of anti flammatory drug he needs is
[tex]\frac{6}{17}\times110.677\approx39.063[/tex]Therefore, Justing needs 39.063 miiligrams of anti flammatory drug.
I need help with my geometry homework thank you.
Answer:
2.5
Step-by-step explanation:
point B
4K = 10
4/4 K = 10/4 K
K = 5/2 = 2.5
how would I graph the line, 3x+4y= -4
Given the equation:
3x + 4y = -4
Let's graph the line that represents the equation above.
To grah the line, rewrite the equation in slope-intercet form:
y = mx + b
Where m is the slope and b is the y-intercept.
Rerite the equation for y:
3x + 4y = -4
Subtract 3x from both sides:
3x - 3x + 4y = -3x - 4
4y = -3x - 4
Divide all terms by 4:
[tex]\begin{gathered} \frac{4y}{4}=-\frac{3x}{4}-\frac{4}{4} \\ \\ y=-\frac{3}{4}x-1 \end{gathered}[/tex]The slope of the line is -3/4, while the y-intercept is at (0, -1).
Now, let's graph the line using 3 points.
• When x = -4:
Substitute -4 for x and solve for y
[tex]\begin{gathered} y=-\frac{3}{4}\ast(-4)-1 \\ \\ y=3-1 \\ \\ y=2 \end{gathered}[/tex]• When x = 0:
Substitute 0 for x and solve for y
[tex]\begin{gathered} y=-\frac{3}{4}\ast(0)-1 \\ \\ y=-1 \end{gathered}[/tex]• When x = 4:
Substitute 4 for x and solve for y
[tex]\begin{gathered} y=-\frac{3}{4}\ast4-1 \\ \\ y=-3-1 \\ \\ y=-4 \end{gathered}[/tex]Therefore, we have the following points:
(-4, 2), (0, -1) and (4, -4)
Plot the three points on the graph, then connect all 3 points using a straight edge.
We have the graph attached below:
a survey asked a group of people the size of their households. the results are shown in the frequency distribution. what is the mean of the frequency distribution?
we have the following:
[tex]m=\frac{f_1+f_2+f_3+f_4+f_5}{5}[/tex]replacing:
[tex]\begin{gathered} m=\frac{4+12+6+2+1}{5} \\ m=\frac{25}{5} \\ m=5 \end{gathered}[/tex]therefore, the mean is 5
is two over nine a rational number
Two over nince is fraction formed by two integers which equal a repeting decimal, which means it's a rational number.
Hence, the answer is yes.*Awnser this* Nikki should invest____ in the account paying 5% interest and ____ in the account paying 6.5% interest
Simple interest can be defined as the interest charged on the total amount of principal taken for a particular period of time.
Interest is only charged based on the use of funds. Calculating simple interest is fairly straightforward and is the fastest way to calculate interest.
[tex]\begin{gathered} I=P\cdot r\cdot t \\ A\to\text{Total amount} \\ P\to\text{Principal amount} \\ I\to\text{interest amount} \\ r\to\text{rate of the intererst per year in decimal} \\ t\to\text{time in years} \end{gathered}[/tex]Total amount of money inverted:
[tex]\begin{gathered} A+B_{}=250.000 \\ \\ \end{gathered}[/tex]Total interset earne
1. The function h(x) has the shape of a parabola has a focus of (-7,-4) and directrixat y = -1Determine the equation of h(x) in standard form by correctly choosing the symbols andnumbers from the math bank.Help ASAP
Let P (x, y) be any point on the parabola whose focus is (-7,-4,) and the directrix y+1 = 0.
As we already know that the distance of a point P from focus = distance of a point P from directrix
[tex]\sqrt[=]{(y+1)^2}\text{ =}\sqrt[+]{(x+7)^2+(x+4)^2}[/tex][tex](y+1)^2=(x+7)^2+(x+4)^2[/tex][tex]y^2+1+2y=x^2+7x+49+x^2+16+4x[/tex][tex]y^2+2y=2x^2+11x+64[/tex][tex]y(y+2)=2x^2+11x+64[/tex][tex]y=\frac{2x^2+11x+64}{y+2}[/tex]