Answer:
8.25 * 10^2
Step-by-step explanation:
825 = 8.25 * 100 = 8.25 * 10^2
8.25×10 to the power of 2
Wendy is deciding which summer job she should take.The two different pay options she may choose from are either $62 per day or $304 per week.Which is the best deal for Wendy?
Answer:
$62 per day
Step-by-step explanation:
$62 a day equals $434 a week witch turns out to be $22,568 a year
$304 a week equals $15,808 a year
Can someone please help me ?
Answer:
The first picture will have a solution a (3,4)
The second will have no solutions
The third picture will have a solution at (-4,-3)
Step-by-step explanation:
The solution is when the lines intersect you can tell in the first and third picture when they will and the second picture has parrell lines meaning they will never intersect
Factor the quadratic expression completely.
-7x^2-24x-9=
Answer:
[tex] - 7 {x}^{2} - 24 - 9 \\ - 7 {x}^{2} - 21x - 3x - 9 \\ - 7x(x + 3) - 3(x + 3) \\ ( - 7x - 3)(x + 3)[/tex]
6 less than the product of 8 and a
number n is 34
Answer:
8n-6 = 34
Step-by-step explanation:
6 less than the product of 8 and a number n is 34
less than means subtract from the next thing
-6
product means multiply
8n
Now we have 8n-6
is means equals
8n-6 = 34
the value of n is 5.
Step-by-step explanation:
Given,
6 less than the product of 8 and a number n is 34
To find the value of n
According to the problem,
n×8 - 6 = 34
or, 8n = 34+6
or, 8n = 40
or, n = 40÷8
or, n= 5
Hence, the value of n is 5.
The solution set for -18 < 5x - 3 is _____.
3 > x
-3 > x
3 < x
-3 < x
Answer:
-3 < x
Step-by-step explanation:
add the negative 3 to the other side
you get: -15 < 5x
divide by 5 on both sides
you get: -3 < x
that's the answer
The lines kx + 2y = -7 and y = 2x - 5 are perpendicular to each other. Find the value of k.
Answer:
k=1
Step-by-step explanation:
1. find the negative reciprocal of the slope of y=2x-5 because that is the slope perpendicular to it.
m=2 ; negative reciprocal is 1/-2
2. isolate y in the first equation
y= kx/-2 + 7/-2
3. the only value for k that would make their slopes the same would be 1
How do you put y+2x=5 into slope-intercept form?
Answer: y=-2x+5
Step-by-step explanation:
Y+2x=5
y-2x=5-2x
y=-2x+5
then graph
Answer:
y=-2 x +5
Step-by-step explanation:
Write in slope-intercept form, y=m x+b
The histogram shows the time Mr. Lopez’s students spent studying for the final exam.Which statement is correct about the time Mr.Lopez's students spent studying for the final exam
Answer:
Most students spent an hour or less studying for the exam.
Step-by-step explanation:
Answer:
C on edge 2020
Most students spent an hour or less studying for the exam.
Step-by-step explanation:
I just took the assignment. Hope this helps!
Which of the following describes a pattern in the table
Im not sure it depends on the pattern? lol
The pattern described in the table is the value of b is 5 times the value of a.
What is a pattern?A pattern is defined as a sequence of repeating objects, shapes or numbers. We can relate a pattern to any type of event or object. A pattern has a rule that tells us which objects belong to the pattern and which objects do not belong to the pattern.
Given is a table,
a - 0 1 2 3 4
b - 0 5 10 15 20,
We can see, that the values in the b row are 5, 10, 15, 20 they are the multiple of 5
And values in row a, are 1, 2, 3, 4, we can see they are the numbers which are related to row b, in a way that, values in b are 5 times the value of a,
1 × 5 = 5
2 × 5 = 10
3 × 5 = 15
4 × 5 = 20
5 × 5 = 25
Therefore, we can say that the numbers in b are 5 times the corresponding value of the a,
Hence, the pattern described in the table is the value of b is 5 times the value of a.
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The complete question is :
Which rule describes the pattern in the table?
a 0 1 2 3 4
b 0 5 10 15 20
The value of b is 5 times the value of a.
The value of b is 5 less than the value of a.
The value of b is 5 more than the value of a.
The value of a is 5 times the value of b.
Given the point A(-3,-2) and B(6, 1), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1.
Answer:
P: (3,0)
Step-by-step explanation:
AB = (9,3)
⅔(9,3) = (6,2)
(-3,-2) + (6,2) = (3,0)
the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1 is (3,0).
What is the ratio formula for line segment?P=(mx2+nx1/m+n,my2+ny1/m+n).
The formula can be derived by constructing two similar right triangles, as shown below. Their hypotenuses are along the line segment and are in the ratio m : n m:n m:n.
Here, given that,
Given the point A(-3,-2) and B(6, 1),
Let, (x.y) is the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1.
Using the formula we get,
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
P=(3,0)
hence, the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1 is (3,0).
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True or False: If you shift one of the lines incorrectly and the other correctly, you will receive credit for the correctly shifted line. True
Final answer:
In logic and truth tables, shifting one line correctly while the other is shifted incorrectly will result in credit for the correctly shifted line.
Explanation:
True or False: If you shift one of the lines incorrectly and the other correctly, you will receive credit for the correctly shifted line. True
The statement is true in the context of logic and truth tables. When dealing with truth tables and logical operations, if one line is shifted correctly and the other incorrectly, credit is given for the line that was correctly shifted.
Order the numbers from greatest to least.
332 233 323
Answer:
Step-by-step explanation:
332 323 233
Answer:
233, 323, 332.
Step-by-step explanation:
Starting from 200 and count by 10 (200, 210, 220, 230.) 233 is the smallest number, repeat with each number.
Which expressions are equivalent to 5 x-15? Select three options.
5 (x + 15)
5 (x-3)
4 x + 3 y-15- 3 y + x
-7 y-6 x- 8 y + x
-20 - 3 x + 5 + 8 x
PLSSS help my teacher already thinks i'm going crazy!
Answer:
[tex]b) 5 (x-3)\\c) 4 x + 3 y-15- 3 y + x\\e) -20 - 3 x + 5 + 8 x[/tex]
Step-by-step explanation:
We are given the following expression in the question:
[tex]5x-15[/tex]
a)
[tex]5 (x + 15)\\=5(x) + 5(15)\\=5x + 75[/tex]
which is not equivalent to the given expression.
b)
[tex]5 (x-3)\\=5(x)-3(5)\\=5x-15[/tex]
which is equivalent to the given expression
c)
[tex]4 x + 3 y-15- 3 y + x\\=4x+x+3y-3y-15\\=5x-15\\=5(x-3)[/tex]
which is equivalent to the given expression.
d)
[tex]-7 y-6 x- 8 y + x\\=-7y-8y-6x+x\\=-15y-5x\\=-5(x+3y)[/tex]
which is not equivalent to the given expression.
e)
[tex]-20 - 3 x + 5 + 8 x\\=-3x+8x-20+5\\=5x-15[/tex]
which is equivalent to the given expression.
Bobby drives his truck at a rate of 50 to 60 miles per hour.
a. Approximately how far can Bobby drive in 2, 3, 4, and 5 hours?
b. Bobby plans to take an 8-hour trip, which will include a 1-hour stop for
lunch. What is a reasonable distance for Bobby to drive?
a. 2 hours = 100 to 120m
3 hrs = 150 to 180m
4 hrs = 200 to 240m
5 hrs = 250 to 300m
b. 400 to 480 miles
Bobby can drive between 50 times the number of hours and 60 times the number of hours depending on the drive duration. For an 8-hour trip with a 1-hour lunch stop, he drives for 7 hours, covering between 350 and 420 miles.
Explanation:a) Bobby's driving speed varies between 50 to 60 miles per hour. Therefore:
If he drives for 2 hours, at the minimum speed he can cover 50*2=100 miles, and at the maximum speed, he can cover 60*2=120 miles.If he drives for 3 hours, the range is between 50*3=150 miles and 60*3=180 miles.If he drives for 4 hours, the range is between 50*4=200 miles and 60*4=240 miles.And if he drives for 5 hours, the range is between 50*5=250 miles and 60*5=300 miles.b) For an 8-hour trip with a 1-hour stop for lunch, Bobby will effectively be driving for 7 hours. So, the minimum distance he could cover is 50*7=350 miles and the maximum distance is 60*7=420 miles.
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What is a proportional equation
Answer:
it is when the x and y intercept coordinates are changed by the same factor.
Step-by-step explanation:
The product of four and a number
Answer:
1+4x
Step-by-step explanation:
Determine and state an equation of the line perpendicular to 5x-4y=10nand passing through point (5,12).
Answer:
4x + 5y = 80
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 5x - 4y = 10 into this form
Subtract 5x from both sides
- 4y = - 5x + 10 ( divide all terms by - 4 )
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{5}{2}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{5}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex], thus
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, 12) into the partial equation
12 = - 4 + c ⇒ c = 12 + 4 = 16
y = - [tex]\frac{4}{5}[/tex] x + 16 ← in slope- intercept form
Multiply through by 5
5y = - 4x + 80 ( add 4x to both sides )
4x + 5y = 80 ← in standard form
The equation of line perpendicular to [tex]5x-4y=10[/tex] and passing through the point (5,12) is [tex]y=-\frac{4}{5}+16[/tex]
The line given in the problem is in Standard Form. The standard form of a linear equation is: [tex]Ax+By=C[/tex]
Where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1.
[tex]5x-4y=10[/tex]
The slope of an equation in standard form is: [tex]m=-\frac{A}{B}[/tex]. Substituting the values from the equation in the problem gives:
[tex]m=-\frac{5}{(-4)} =\frac{5}{4}[/tex]
Let's call the slope of the line perpendicular to this line [tex]m_{p}[/tex] . The slope of a perpendicular line is:
[tex]m_{p} =-\frac{1}{m} =-\frac{4}{5}[/tex]
We can now use the point-slope formula to find the equation of the line. The point-slope formula states: [tex](y-y_{1})=m(x-x_{1})[/tex]
[tex]y-12=-\frac{4}{5} (x-5)[/tex]
[tex]5(y-12)=-4(x-5)\\5y-60=-4x+20\\5y=-4x+80\\y=-\frac{4}{5}x+16[/tex]
Therefore, the equation of line perpendicular to [tex]5x-4y=10[/tex] and passing through the point (5,12) is [tex]y=-\frac{4}{5}+16[/tex]
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what is the answer to 6 more than the product of five and a number decreased by one
The coefficient of 9(14)P is
09
14
126
Answer:
126
Step-by-step explanation:
The coefficient of 9(14)P = 9*14 = 126
The measure of an angle is 32°. What is the measure of its supplementary angle?
write an equation of the circle with center 6.-9) and radius 10!
The equation of the given circle is [tex](x-6)^{2}+(y+9)^{2}=100.[/tex]
Step-by-step explanation:
Step 1:
The equation of a circle with its center at (h, k) and a radius of r is given by
[tex](x-h)^{2}+(y-k)^{2}=r^{2}.[/tex]
The h value is the x coordinate and the k value is the y coordinates, so (h, k) is (6, -9).
The radius is given as 10 so [tex]r =10[/tex] and [tex]r^{2} = 100.[/tex]
Step 2:
By substituting the values we know, we get
[tex](x-h)^{2}+(y-k)^{2}=r^{2} = (x-6)^{2}+(y-(-9))^{2}=10^{2}.[/tex]
So the equation of the given circle is
[tex](x-6)^{2}+(y+9)^{2}=100.[/tex]
what is the product of (2X+ Y) (5x-4+3)
Product is 10x² - 2x - y + 5xy
Step-by-step explanation:
Step 1: Find the product. Use distributive property.(2x + y)(5x - 4 + 3) = 10x² - 8x + 6x + 5xy - 4y + 3y
= 10x² - 2x - y + 5xy
Hope this will help u..✌✌
Solve for all solutions x2=29
Answer:
x=14.5
PLEASE MARK BRAINLIST!!
Step-by-step explanation:
2x=29
Divide by 2 on both sides:
x=14.5
Answer: it should be x=14.5
Two number cubes are rolled for two separate events:
Event A is the event that the sum of numbers on both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Complete the conditional-probability formula for event B given that event A occurs first by writing A and B in the blanks:
Answer:
11/30
Step-by-step explanation:
P(B/A) = P(B^A)/P(A)
P(A) = 30/36 = 5/6
P(B^A) = (2+5+4)/36 = 11/36
11/36 ÷ 30/36
11/30 or 0.3667
88+(-39)
show how you got the answer please
Answer:
49
Step-by-step explanation:
88+(-39) is the same as 88-39 given the distributive property, so 88-39=49
what is the answer to 8x27383922
Answer:
219071376
Step-by-step explanation:
Answer:
219071376. Hope this helps :)
How many soution does this system have ?
Y=3/4x-5
-3x+4y=-20
Answer:
There is no solution
Step-by-step explanation:
1. y = 3/4x - 5
2. -3x + 4y = -20
-3x + 4(3/4x - 5) = -20
-3x + 3x - 20 = - 20
-20 = -20
In Practing Partial Products Multiplictaion What im Going to do to 65 × 32 ?
Answer:
2080
Step-by-step explanation:
Step 1: Multiply
65 × 32
60*30 + 60*2 + 5*30 + 5*2
1800 + 120 + 150 + 10
2080
Answer: 2080
Answer:
2080
Step-by-step explanation:
The mass of an empty container is 3/10kg. When the container is half filled with water, the mass becomes 1 1/10kg. What is the mass of the container when it is completely filled with water
Answer:
1.9 kg
Step-by-step explanation:
Empty container: 3/10 kg = 0.3 kg
Container half filled: 1 1/10 kg = 1.1 kg
Mass of water that fills it halfway: 1.1 kg - 0.3 kg = 0.8 kg
Mass of water that fills it completely: 2 * 0.8 kg = 1.6 kg
Mass of container completely filled with water: 0.3 kg + 1.6 kg = 1.9 kg
25% of the students attended the school dance. if 32 attended the dance, how many students are there in all?
Answer:
128 students in total
Step-by-step explanation:
25/100 = 1/4
1/4 = 32/ x
1 x 32
Answer:
your answer is A
Step-by-step explanation:
32 *4=128
4*25=100%