Answer:
3.5 days
Step-by-step explanation:
Given
[tex]Day\ 1 = 343\ miles[/tex]
Required
Number of days to drive 1200 miles
Represent as ratio:
[tex]Day\ 1 = 343\ miles[/tex]
[tex]Ratio = 1 : 343[/tex]
For 1200 miles
[tex]Ratio = x : 1200[/tex]
Equate both ratios
[tex]x : 1200 = 1 : 343[/tex]
Express as fractions
[tex]x/1200 = 1/343[/tex]
Multiply by 120
[tex]x/1200 *1200= 1/343*1200[/tex]
[tex]x= 3.4985[/tex]
[tex]x= 3.5[/tex] --- approximated
Fregue
11. In a class of 50 students, 35 are girls, what
is the probability that a student selected at
random is a boy?
b=(50-35) and students=50
b/s=15/50=3/10
please help asap!!!
What is the decimal value of 4/11? Show long division.
How do you know that 4/11 is a repeating decimal?
Answer:
0.3636363636363636
Step-by-step explanation:
Its a repeating decimal because 4 cannot be divided by 11
There ya' go :]
A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AUB=
Answer:
1,2,3,4,5,6,7,8,9, and 10
Step-by-step explanation:
they are the union of A and B.
I think i helped mark me as brainlist.
thank you have a nice day
A stack of 5 books welghs 9.5 pounds. If each book weighs the same amount, how much does each book weigh?
What is the coefficient of x?
8 + 5x - y
5
8
1
-5
A
Answer:
The coefficient is 5.
(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)
Write the slope-intercept-form of an equation that passes through the point (-2,3), and is parallel to y=-x+5.
Answer:
Step-by-step explanation:
y - 3 = -(x + 2)
y - 3 = -x - 2
y = -x + 1
What is the best way to answer this mixed number 7 3/4 + 1 5/6
9514 1404 393
Answer:
9 7/12
Step-by-step explanation:
12 is a suitable common denominator.
(7 3/4) + (1 5/6) = (7 9/12) + (1 10/12) = (7+1) +(9/12 +10/12)
= 8 + 19/12 = 9 + 7/12 . . . . . . change 19/12 to 1 7/12
= 9 7/12
_____
My calculator works with mixed numbers very nicely, as many graphing calculators do.
Step-by-step explanation:
convert the fractions to whole numbers. the first one is:
4 × 7, then add 3, or 31/4.
the second one is 6 × 1, then add 5, or 11/6.
then you have 31/4 + 11/6. then you make a common denominator, which would be 12 (6 and 4 both go into 12).
3 × 31 = 93, so then the first fractions becomes:
93/12
second fraction becomes 11 × 2 = 22, then:
22/12.
so now you have 93/12 + 22/12 = 115/12, or 9 7/12
Centro (2,-3) y radio 2 representado algebraicamente?
Se representa algebraicamente como (x - a) 2 + (y - b) 2 = r2 donde el centro del círculo es el punto (a, b) y tiene un radio r. En el plano complejo un ...
find the value of 7u+1 given that -5u-1=4
Answer:
-5u-1=4
-5u=5
u=-1
7u+1=-7+1=-6
Step-by-step explanation:
Please show work show i know how you got your answer..have a nice day <3
Answer:
A : 3080
Step-by-step explanation:
In order to find volume, you have to multiply all the 3 sides. (Multiply height, length and width)
22 x 10 = 220.
220 x 14 = 3080.
Therefore the volume of the water is 3080 in.
Hope this helps!
The next model of a sports car will cost 6.9% less than the current model. The current model costs $48,000. How much will the price decrease in dollars? What
will be the price of the next model?
Decrease in price:
Price of next model:
Answer:
Price is decreased by $3,312
And, the price of the next model is $44,688
Step-by-step explanation:
The computation is shown below:
Given that the current model cost is $48,000
And, there is 6.9% lower than the current model
So, the price would decrease in dollars is
= $48,000 × 6.9%
= $3,312
The price of the next model is
= $48,000 - $3,312
= $44,688
Help!!!!!! Solve the following system of equations to determine how many solutions it has. Explain your answer
4x + 2y = -4
12x + 6y = -12
Answer:
Infinitely many solutions
Step-by-step explanation:
Eq. 1 and eq. 2 are the same line.
Multiply eq. 2 by (-3) to get eq. 1.
Multiply eq. 2 by 3 and add to eq. 1 to eliminate x.
Consistent dependent system of equations, infinitely many solutions.
1.)1x-6y=-15
2.)-4+2y=5
how to do i need help solve
Answer:
51 cm^2
Step-by-step explanation:
We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.
We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2
0.12 divided by 5.676
Help lol don’t know the answer to this
raiz cuadrada de -200
simplify (6²)4.
how to get the answer
Answer:
144
Step-by-step explanation:
6^2 = 6x6 = 36
36 x 4 = 144
y=−2x+1
x−3y=11 find the solution using elimination.
Answer:
Step-by-step explanation:
Using first equation in the second gives you
x-3(-2x+1)=11
x+6x-3=11
7x-3=11
7x=14
x=2, making y=-2x+1 become
y=-2(2)+1
y=-4+1
y=-3 so the solution is the point
(2,-3)
M is the midpoint of PA.
8x - 1
M
2x + 17 A
PM =
Use the given functions to set up and simplify PM
M =
PA =
8x - 1
M=
2x + 17A
PM=
An ice cream company fills containers with 64 ounces of ice cream. The acceptable percentage of error in filling each ice cream container is 1.5%.
Select all the expressions that could be used to find the greatest number of ounces of ice cream each container can hold.
64(1.15)
64(1.015)
64(1.5)+64
64-64(1.5)
64(0.015) - 64
64+ 64(0.015)
Answer:
i dont know
Step-by-step explanation:
You start at (3,5). You move left and stop at (-5,5). How much distance have you traveled?
Answer:8
Step-by-step explanation:
Distance = √{(x1-x2)^2+(y1-y2)^2}
=√(64+0)
=8
Let g(x) = cos(x/2) - 3x. Let f(x) = 2x + 5. What is g(f(x))?
Answer:
g(f(x)) = [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
Step-by-step explanation:
Explanation:-
Let g(x) = [tex]cos(\frac{x}{2} ) - 3x[/tex] and f(x) = 2x +5
g(f(x)) = g( 2x +5)
= [tex]cos(\frac{2x+5}{2} ) - 3(2x+5)[/tex]
= [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
g(f(x)) = [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
ft²
Answer:
Step-by-step explanation:
Radius of semicircle = 2 ft
Area of semicircle = 0.5πr² = 0.5π2² = 6.28 sq ft
Area of rectangle = 10 × 4 = 40 sq ft
Total area = 46.28 sq ft
Answer:
46.28
Step-by-step explanation:
Find the complex factors of the quadratic trinomial x^2 + 8x +17
Answer: Factoring x2+8x+17
The first term is, x2 its coefficient is 1 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is +17
Step-1 : Multiply the coefficient of the first term by the constant 1 • 17 = 17
Step-2 : Find two factors of 17 whose sum equals the coefficient of the middle term, which is 8 .
-17 + -1 = -18
-1 + -17 = -18
1 + 17 = 18
17 + 1 = 18
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
1
:
x2 + 8x + 17 = 0
STEP
2
:
Parabola, Finding the Vertex:
2.1 Find the Vertex of y = x2+8x+17
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -4.0000
Plugging into the parabola formula -4.0000 for x we can calculate the y -coordinate :
y = 1.0 * -4.00 * -4.00 + 8.0 * -4.00 + 17.0
or y = 1.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2+8x+17
Axis of Symmetry (dashed) {x}={-4.00}
Vertex at {x,y} = {-4.00, 1.00}
Function has no real rootsvSolving x2+8x+17 = 0 by Completing The Square .
Subtract 17 from both side of the equation :
x2+8x = -17
Now the clever bit: Take the coefficient of x , which is 8 , divide by two, giving 4 , and finally square it giving 16
Add 16 to both sides of the equation :
On the right hand side we have :
-17 + 16 or, (-17/1)+(16/1)
The common denominator of the two fractions is 1 Adding (-17/1)+(16/1) gives -1/1
So adding to both sides we finally get :
x2+8x+16 = -1
Adding 16 has completed the left hand side into a perfect square :
x2+8x+16 =
(x+4) • (x+4) =
(x+4)2
Things which are equal to the same thing are also equal to one another. Since
x2+8x+16 = -1 and
x2+8x+16 = (x+4)2
then, according to the law of transitivity,
(x+4)2 = -1
We'll refer to this Equation as Eq. #2.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x+4)2 is
(x+4)2/2 =
(x+4)1 =
x+4
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
x+4 = √ -1
Subtract 4 from both sides to obtain:
x = -4 + √ -1
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Since a square root has two values, one positive and the other negative
x2 + 8x + 17 = 0
has two solutions:
x = -4 + √ 1 • i
or
x = -4 - √ 1 • i
Answer:
x=27
Step-by-step explanation:
You have 14 tbsp of onion powder. You need 2 tbsp to make one serving of spice rub.how many servings can you make
Answer:
7 servings
Step-by-step explanation:
If you can make the spice rub with 2 tbsp, then divide 14 by 2 to get 7.
If you need reassurance multiply 7 x 2.
3m +6 - 8m + 9 = -20
Answer:
m=7
Step-by-step explanation:
Answer:
m=7
-8m+3m=-6-9-20
-5m=-35
-35/-5=7
m=7
The ocean is never moving ? is it Ture or false
Answer:
This statement is false because there are waves and currents which changes because of the moon
Step-by-step explanation:
Hello Everybody? Please solve my question:
x^2 + 2 = 4
What is x?
Answer: x=^2 or x=−^2
Step-by-step explanation: hope this help
Write the equation of the perpendicular bisector of the segment AB.
A (1, 5) and B (7, -1)
Answer:
The equation of the perpendicular bisector of the segment AB is [tex]y = x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines and slopes:
If two lines are perpendicular, the multiplication of their slopes is -1.
Equation of the perpendicular bisector of the segment AB.
Equation of a line that passes through the midpoint of segment AB and is perpendicular to AB.
Midpoint of segment AB:
Mean of their coordinates x and y. So
(1+7)/2 = 4
(5-1)/2 = 2
So (4,2).
Slope of segment AB:
When we have two points, the slope between them is given by the change in y divided by the change in x.
In segment AB, we have points (1,5) and (7,-1). So
Change in y: -1 - 5 = -6
Change in x: 7 - 1 = 6
Slope: -6/6 = -1
Equation of the perpendicular bisector:
The slope, multiplied with the slope of segment AB, is -1. So
[tex]-1m = -1[/tex]
[tex]m = 1[/tex]
So
[tex]y = x + b[/tex]
Passes through (4,2), which means that when [tex]x = 4, y = 2[/tex]. So
[tex]y = x + b[/tex]
[tex]2 = 4 + b[/tex]
[tex]b = -2[/tex]
So
[tex]y = x - 2[/tex]
Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie
Answer:
its c
Step-by-step explanation:
i just took the test on plato
What information is necessary to prove two triangles are similar by the SAS similarity theorem?
Answer:
If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Step-by-step explanation:
The information that important for proving two triangles are same by SAS is as follows:
In the case when the 2 sides in one triangle is proportional to 2 sides for another triangle. And the included angle in both should be considered congruent.So, the two triangles are same.Learn more: brainly.com/question/17429689