Looks like the inequality is
-3n < 7n - 20 < 3n
Add 3n to each side:
0 < 10n - 20 < 6n
Solve the right inequality.
10n - 20 < 6n
Add -10n to both sides:
-20 < -4n
Divides both sides by -4:
5 > n
Now solve the left inequality, and take the intersection of the two solution intervals.
0 < 10n - 20
Add 20 to both sides:
20 < 10n
Divide both sides by 10:
2 < n
So 2 < n < 5. There are only 2 integers in this range (3 and 4), whose sum is 7.
Answer:
7
Step-by-step explanation:
We solve each of the two inequalities separately. To solve the first inequality, -3n<7n-20, we add 3n to both sides:
0<10n-20, then we add 20 to both sides to get
20<10n. Finally, dividing both sides by 10 gives 2<n, so n must be greater than 2.
For the second inequality, 7n-20<3n, we subtract 3n from both sides:
4n-20<0, then add 20 to both sides to get
4n<20. Finally, dividing both sides by 4 gives n<5, so n must be less than 5.
The only integers that are greater than 2 and less than 5 are 3 and 4. So, the sum of all possible integer values of n is 3+4=7.
Find the x-value for point C such that AC and BC from a 2:3 ratio.
Given:
Point C divides AB such that AC:BC=2:3.
To find:
The x-value for point C.
Solution:
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Form the given graph it is clear that the endpoints of the line segment AB are A(-3,5) and B(3,0).
Point C divides AB such that AC:BC=2:3. Using section formula, the coordinates of point C are
[tex]C=\left(\dfrac{2(3)+3(-3)}{2+3},\dfrac{2(0)+3(5)}{2+3}\right)[/tex]
[tex]C=\left(\dfrac{6-9}{5},\dfrac{0+15}{5}\right)[/tex]
[tex]C=\left(\dfrac{-3}{5},\dfrac{15}{5}\right)[/tex]
[tex]C=\left(-0.6,3\right)[/tex]
The x-value of C is -0.6.
Therefore, the correct option is B.
What is the domain of the square root function graphed below?
Answer:
x ≥ 0
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from 0 to infinity. Since 0 is a closed dot, it is inclusive in the domain:
[0, ∞) or x ≥ 0
Raja claims that to add two fractions with unlike denominators, first you need to determine the smallest number that is a multiple of both denominators. Then change the denominators in both fractions and keep the numerators the same.
Answer:
Incorrect
Step-by-step explanation:
This is incorrect. In order to add two fractions that have unlike denominators, it is true that you first need to find a common denominator. When you change a fractions denominator you must also change it's numerator in proportion to the change in the denominator. For example, if you change the denominator in the fraction [tex]\frac{1}{2}[/tex] into a 4 then you are multiplying the denominator by 2, therefore you will also need to multiply the numerator by 2 which would give you a new fraction of [tex]\frac{2}{4}[/tex]
Solve for g.
g - 15 = 4
Answer:
11
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
PLZZZ HELP DUE IN 5mins
Answer:
y=-6x+360
Step-by-step explanation:
The y intercept, b, is easy; its already listed as 360.
The slope we find by using some points:
300-360
10-0
=
-60
10
=
m=-6
y=mx+b
y=-6x+360
2a^2-12a + 18, please try to explain or show how you got it...thank you :))
Answer:
35 is your answer!!
Step-by-step explanation:
have a good day <3
Savelot offers two types of baseballs bats the wood bat sell for 24$ and the metal bats sell for 30 in one day save lots sold 23 base ball bats these recipts for those bats totaled $606 how many of each type of bat was sold
Answer:
Step-by-step explanation:
Let us represent
Let the wood bat = w
Let the base ball bats = b
Savelot offers two types of baseballs bats the wood bat sell for 24$ and the metal bats sell for 30 in one day save lots sold 23 base ball bats these recipts for those bats totaled $606 how many of each type of bat was sold
System of Equations
w + b = 23.... Equation 1
b = 23 - w
24w + 30b = 606..... Equation 2
We substitute:30 - w for b
Hence:
24w + 30(23 - w) = 606
24w + 690 - 30w = 606
24w - 30w = 606 - 609
-6w = -84
w = -844/-6
w = 14 wood bats
b = 30 - 14
b = 16 base ball bts
Two forces of 25 pounds and 20 pounds act on a body with an angle of 25 degrees between them. What is the magnitude of the resultant force?
a) 13.23 pounds
b) 38.78 pounds
c) 43.95 pounds
d) 53.23 pounds
Answer:
C) 43.95 pounds
Step-by-step explanation:
got it right on edge :)
The magnitude of resultant force is 43.95 pounds.
The option c is correct.
Resultant force:Two forces are given that,
[tex]F_{1}=25, F_{2}=20,\theta=25 degree[/tex]
The resultant force is calculated by using formula,
[tex]F=\sqrt{F_{1}^{2}+F_{2}^{2}+2F_{1}F_{2}cos \theta } \\\\F=\sqrt{25^{2}+20^{2}+2*25*20*cos25 }\\\\F=\sqrt{625+400+906.307}\\ \\F=\sqrt{1931.307}=43.95[/tex]
Hence, the magnitude of resultant force is 43.95 pounds.
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The senior class has 412 students. They are assigned to different homerooms. There are 28 students in the smallest homeroom and the remaining 12 homerooms have the same number of students. How many students are in each of remaining 12 homerooms?
Just give me the equation.
Answer:
There are 32 students in the other 12 homerooms.
Step-by-step explanation:
32x12=384
384+28=412
Full equation: 32x12=384 28=412
find the number of kilograms in 250 pounds. there are 1000 grams in a kilogram and 454 grams in a pound.
Answer:
113 kilograms
Step-by-step explanation:
solve for d:
d + (-5.004) = 2.826
PLease
Answer:
7.83
Step-by-step explanation:
d + (-5.004) = 2.826
d = 2.826 - (-5.004)
= 7.83
Therefore d is 7.83 :)
(ABCD) = (A'B'C'D'). If A is (6, −8), A' is (−2, 4), and B is (4, −6), what are the coordinates of B'?
Answer: (6, 6)
In this problem the point is moved over 2 up and 2 to the right form A to A'
The coordinates of B' are (-4, 6).
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Since (ABCD) = (A'B'C'D'), we know that corresponding points in the two quadrilaterals have equal coordinates.
Therefore, we can use the coordinates of A and A' to find the translation vector that takes A to A'.
We can then apply this same vector to B to find its image B'.
The translation vector that takes A to A' is given by the difference A' - A:
A' - A = (-2, 4) - (6, -8) = (-8, 12)
So, the same translation vector takes B to B', and we have:
B' = B + (-8, 12) = (4, -6) + (-8, 12) = (-4, 6)
Therefore, the coordinates of B' are (-4, 6).
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pllllllllllllllzzzzzzzzzzzzzzz
hhheeeellllllllpppppppppppp
Answer:
I think it should be the third option
20 points
When you find a point on a graph that you think is the intersection, the best way to double check your answer is to:
substitute in the x value to see if both of the y values of both of the equations match the one you approximated from the graph.
substitute in the x value to see if one of the y values of one of the equations matches the one you approximated from the graph.
substitute in the y value to see if one of the x values of one of the equations matches the one you approximated from the graph.
substitute in the x value to see if both of the x values of both of the equations match the one you approximated from the graph.
Answer: Substitute in the x value to see if both of the y values of both of the equations match the one you approximated from the graph.
Step-by-step explanation:
I guess that we are working with systems of equations like:
y = f(x)
y = g(x)
Where an intersection is a solution that works for both equations, which means that the graphs will intersect each other in that point.
This means that for a given value x = x0, we must have:
f(x0) = g(x0).
Now, when you find a point that you think that is an intersection, you should substitute the x value in both functions, and see if the y-values coincide.
This will be equivalent to look if f(x) = g(x) for that particular value.
then the correct option is:
substitute in the x value to see if both of the y values of both of the equations match the one you approximated from the graph.
yooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answer:
yooooooooooooooooooooooooooooo
Lucy spent $22.80 on Halloween candy. Tax is 5%. How much will she spend total including tax?
Answer:
23.94
Step-by-step explanation:
Before Tax Price: $22.80
Sale Tax: 5.00% or $1.14
After Tax Price: $23.94
where is alrquan07 ? Anyone know?
Answer:
hewo friend
Step-by-step explanation:
PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!
Which equation models the trend line?
A- y = –1.3x + 2
B- y = 1.3x + 2
C - y= –1.3x – 2
D- y = 1.3x – 2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
How much are these coins worth??
Answer:
quarters are worth 25 cents
dimes are worth 10 cents
nickels are worth 5 cents
pennies are worth 1 cent
that is a total of $1.48 there
Step-by-step explanation:
There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !
Answer:
304.8 millimeters
Step-by-step explanation:
Answer:
0.003
Step-by-step explanation:
6(3x - 2) = 18x + 6
I’m confusion please help
Step-by-step explanation:
6(3x-2)=18x+6
18x-12=18x+2
18x-18x=2-12
0 =-10
0
Answer:
This equation does not exist.
What is the y-intercept of the equation?
Rawr ... someone help me :) please it’s math and the last word says Box btw !
Answer:
4/7
Step-by-step explanation:
Have a nice day
Answer:
4/7
Step-by-step explanation:
I said so hun
Lamar drinks 8 ounces of water with breakfast, 6 ounces of water with his vitamins, 16 ounces of water with his lunch, 16 ounces of water with his dinner, and 32 ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in ounces that he drinks in a week.
Given:
Lamar drinks water with,
Breakfast = 8 ounces
Vitamins = 6 ounces
Lunch = 16 ounces
Dinner = 16 ounces
Bottle = 32 ounces
To find:
The a numerical expression for the amount of water in ounces that he drinks in a week.
Solution:
One day consumption of water by Lamar is
[tex]8+6+16+16+32=78[/tex]
We know that,
1 week = 7 days
One day consumption of water = 78 ounces
1 week (7 days) consumption of water = 7× One day consumption of water
= 7×(8+6+16+16+32) ounces
= 7×78 ounces
= 546 ounces
Therefore, the required numerical expression for the amount of water in ounces that he drinks in a week is 7×(8+6+16+16+32) ounces and the value is 546 ounces.
slope = 5, goes through the point (2, 7)
Need this it is due tomorrow please.
Answer:
a) parallel lines : CE and BF
b)perpendicular lines : DE and EF
c) is FE parallel to CA : no
Step-by-step explanation:
hope this helps
Answer:
a. CE║BFb.DA and BFc. No, because Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.Step-by-step explanation:
3+(−4)−8−(−1)
can guy help me pls
Answer:
-10
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
8,10,20 pls mark me as brainliest
Answer:
A triangle can not have a side that is longer than the sum of the other two sides. In this case, the second answer does not fit a triangle, as 20 > 8 + 10.
Step-by-step explanation:
Compute the sum of the squares of the shorter lengths. Compute the sum of the squares of the shorter lengths. Compute the square of the longest length. Compute the square of the longest length. What kind of triangle is it? What kind of triangle is it? Acute triangle Acute triangle Right triangle Right triangle Obtuse triangle Obtuse triangle
The given triangle is a right triangle because it agrees Pythagoras theorem.
In the given triangle, the shorter lengths are 12 and 16.
The sum of square of shorter lengths:
[tex]= 12^2 + 16^2[/tex]
[tex]=144+256[/tex]
[tex]=400[/tex]
The longer length is 20.
Square of the longest length is [tex]20^2.[/tex]
[tex]20^2 = 20 \times 20[/tex]
=400
The sum of squares of shorter lengths is equal to Square of the longest length which obeys Pythagoras theorem.
400 = 400
As this is agreeing Pythagoras theorem it is a right angle triangle.
Hence, option B is correct. right triangle.
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What is X in feet
X= Ft
Answer:
x = 26ft
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]10^{2}[/tex] + [tex]24^{2}[/tex] = 676
[tex]\sqrt{676}[/tex] = 26