Answer:
x = 2
Step-by-step explanation:
1 - Rewrite
6 - 2/3 (x+5) = 4x
2 - Distribute
6 - 2/3x + 10/3 = 4x
3 - Combine like terms and get x alone
6 10/3 - 2/3x = 4x
+2/3x +2/3x
6 10/3 = 4 2/3x
------------------------------- Convert to decimals
6.3333333333.... = 4.333...x
-------------------------------- Divide both sides by 4.33...x
2 = x
Hope this helps :)
WILL MARK BRAINLIEST TO THE FIRST CORRECT ANSWER GIVEN!! pls help ASAP
Answer:
b = [tex]\frac{2}{9}[/tex]
c = [tex]\frac{4}{9}[/tex]
Step-by-step explanation:
There are two 6 on the board out of 9 numbers
There are four numbers greater than 10 out of the nine possiblilites
Which equation matches the story: Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?
3(x+5)=17
3x+5=17
5(x+3)=17
5x+3=17
Answer:
$2.80
Step-by-step explanation:
17-3=14
14 divided by 5=
2.8
Add 0 since it's about money.
$2.80
Raj made a profit of $890 selling T-shirts. He wants to share the profit equally among three charities. How much should he give to each charity?
Answer:
890/3 thats the anwser
Step-by-step explanation:
Which angles are corresponding angles?
Answer:
I and H
Step-by-step explanation:
1.What is the slope of the line?
(simplify your answer)
2. What is the value of a?
3. What is the value of b?
4. What is the y-coordinate when x = 0?
Answer:
1. slope is 2
2. a is 5
3. b is 6
4. 0
Step-by-step explanation:
plz help asap i need the right answer who ever is right get brainiest
X=18
Step-by-step explanation:
A unicorn daycare center requires there to be 2 supervisors for every 18 baby unicorns. Write an equation that shows the relationship between nnn, the number of supervisors, and uuu, the number of baby unicorns. Please note that this is a magical daycare center, so fractional supervisors are allowed.
Answer:
n = (1/9)u
Step-by-step explanation:
This is a direct variation relationship of the form
n = ku
For n = 2, u = 18.
2 = k * 18
We solve for k.
k = 2/18
k = 1/9
Now we use k in the equation of the relationship.
n = (1/9)u
What number needs to be in the blank for this system to have an infinite number of solutions?
y = -3x + 1
6x + 2y = ?
Answer:
? = 2
Step-by-step explanation:
Given:
y = -3x + 1
6x + 2y = ?
Slope-intercept form:
6x + 2y = a
y = a/2 - 3x
y = -3x + a/2
or y = -3x + 1/2a
Go back to given equations:
y = -3x + 1
y = -3x + 1/2a
y = y
-3x + 1 = -3x + 1/2a
1 = 1/2a
a = 2
Please Answer ASAP
Evaluate the expression for m = 8, n = 11, and p = –3.
what is mp − m − n =
Answer:
-43
Step-by-step explanation:
m=8, n=11, and p=-3
mp=8x-3=-24
-24-m=-24-8=-32
-32-n=-32-11=-43
If a line passes through (0,-5) and has a slope of -8, what is the equation for the line?
Answer:
the equation for the line will be y=-8x-5
Step-by-step explanation:
the slope is -8 and the y-intercept is (0,-5)
so we put that into the slope-intercept form equation
y=mx+b
y=-8x-5
What are the points of intersection between the graphs of the functions
f(x) = x²(x + 1) and g(x) = x + 1?
Answer:
(x1,y1) = (1, 2)
(x2,y2) = (-1,0)
Step-by-step explanation:
Given: f(x) = x²(x + 1) and g(x) = x + 1
To find the intersection, then set functions equal to each other to solve for x first.
x²(x + 1) = x + 1; divide by (x+1) from both sides
[tex]x^{2}[/tex] = 1; take the square root to both sides
x = ±1;
The graphs intersect at two points (x1,y1) and (x2,y2)
Use x=1
f(1) = x²(x + 1) = [tex]1^{2}[/tex](1+1) = 2
g(1) = x + 1 = 1 + 1 = 2
(x1,y1) = (1, 2)
Use x= -1
f(-1) = x²(x + 1) = [tex](-1)^{2}[/tex](-1+1) = 0
g(-1) = x + 1 = -1 + 1 = 0
(x2,y2) = (-1,0)
The points of intersection of two functions are required.
The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].
The given functions are
[tex]f(x)=x^2(x+1)[/tex]
[tex]g(x)=x+1[/tex]
Equating them with each other
[tex]x^2(x+1)=x+1\\\Rightarrow x^2=\dfrac{x+1}{x+1}\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1[/tex]
Substitute the [tex]x[/tex] value in one of the functions.
[tex]x=1[/tex]
[tex]f(1)=1(1+1)=2[/tex]
[tex](1,2)[/tex]
[tex]x=-1[/tex]
[tex]f(-1)=(-1)^2(-1+1)=0[/tex]
[tex](-1,0)[/tex]
The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].
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Please help I can need and I am taking the final in fat
Answer:
This triangle is asking for the opposite side. We are given the hypotenuse and theta (28°.) Sin is opposite over hypotenuse.
Answer:
x=7.51
Step-by-step explanation:
Which ordered pair does NOT lie on the graph of h(x) = -2x + 7?
A(-1,9)
B(-2,3)
None of the other answers are correct C(3, 1)
D (4,-1)
1 litre of a liquid P has a mass of p grams. 1 Litre of a liquid Q has a mass of q grams. A liquid R is made by mixing a volume of liquid P with a volume of liquid Q in the ratio 3:7. Find an expression, in terms of p and q, for the mass of 50 litres of liquid R
Answer:
mass of 50 L of R = 15p + 35q
Step-by-step explanation:
1L of P = p g
1L of Q = q g
R = 3P + 7Q
total = 10
P = 3/10 R
Q = 7/10 R
R = 50 L
50 L × 0.3 = 15 L the amount of P in L
15 L of P = 15p g
35 L 0f Q = 35 q g
then
mass of 50 L of R = 15 p + 35 q grams
Solve -14=p - 11. Which statement shows the correct justification for the step used to solve the equation? Add 14 to each side. Add 11 to each side Subtract 14 from each side Subtract 11 from each side
Answer: 47
Step-by-step explanation: I’m not in high school so how would I know I just want to get brainly points
There are 12 pieces of candy in Miguel's Halloween bag. 3 are Reese's, 4 are M&M's, 3 are lollipops and 2 are sour gummy worms. What is the ratio of Reese's to the total number of pieces of candy in the bag and is this a part to part, part to whole or whole to part relationship?
Pick the correct answer
1. 3:12 part to part
2. 12:3 part to part
3. 3:12, part to whole
4. 12:3 part to whole
don’t use this question for points plz!
Answer:
3. 3:12 part to whole
Step-by-step explanation:
because there are 3 Reese's & 12 pieces of candy in total so it would be part of the candy to the entire bag of candy.
How many isosceles triangles with whole-number length sides have a perimeter of 20 units?
Answer:
There are 9 possible isosceles triangles
Step-by-step explanation:
Inequalities
Let's consider an isosceles triangle with equal side lengths x and unequal side y.
The perimeter of that triangle is:
P = x + x + y =2x + y
The perimeter has a fixed value of 20 units, thus:
2x + y = 20
Solving for y:
y = 20 - 2x
The solutions of this equation have two restrictions:
* Both x and y must be positive
* Both x and y are integer (whole) numbers.
The first restriction leads to inequality:
20 - 2x > 0
Solving for x:
x < 10
Since x must also be positive, only the following numbers are valid solutions for x: {1,2,3,4,5,6,7,8,9}
There are 9 solutions for x, giving this set of 9 solutions for y: {18,16,14,12,10,8,6,4,2}
Thus, there are 9 possible isosceles triangles
Which graph shows the solution to the inequality −2(2x+3)≤26?
Answer:
x≥−8
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−4x−6≤26
Step 2: Add 6 to both sides.
−4x−6+6≤26+6
−4x≤32
Step 3: Divide both sides by -4.
−4x/−4 ≤ 32/−4
x≥−8
ABC is a central angke in a cirvle with center B. The length of the radius is 13 km and m
Answer:
[tex]\frac{1170pi}{360m}[/tex]km
Step-by-step explanation:
To find the length of the minor arc, you find the circumference of the circle multiplied by the arc angle, which is [tex]\frac{45}{m}[/tex] over 360 degrees.
Circumference of the circle with center B = 13×2×pi
= 26pi
Length of minor arc = 26pi × [tex]\frac{45}{m}[/tex] ×[tex]\frac{1}{360}[/tex]
= [tex]\frac{1170pi}{360m}[/tex]km
A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat?
Answer:
The directional earing is N 30° E
Step-by-step explanation:
The given velocity vector is (25, 25·√3), therefor, we have;
R = 25·i + 25·√3·j
The angle of inclination of the direction of the boat with the horizontal = Arctan (y/x)
Where;
(x, y) = The coordinate of the components of the velocity of the boat
Therefore;
Arctan (y/x) = Arctan (25·√3/25) = Arctan (√3) = 60° North of East
The directional bearing which is the bearing relative to the northern direction is given as follows;
The directional earing = 90° - 60° = N 30° E.
Answer:
A on Egde
Step-by-step explanation:
i got it right
f(x) = 24
g(x) = x2 + 3x – 3
Answer:
Step-by-step explanation:
24
x
2
+
72
x
−
72
given the graph g(x), find g(-6)
Answer:
+2
Step-by-step explanation:
Draw a vertical line through x = -6. Determiene the corresponding y-value. It is +2. This is g(-6).
The value of the function g(x) when x = - 6, g(-6) is 2.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function g(x).
Now, The value of the function g(-6) is the same as the value of the y-coordinate when the x-coordinate is - 6.
From the graph, we observe that when x = - 6, y = 2.
So, The value of g(-6) = 2.
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What is the domain and range please?
Answer:
domain is the max and min x values
range is the max and min y values
Step-by-step explanation:
Help I have 7 minutes
Answer:
c. is your answer dear.
Step-by-step explanation:
By SSS theorem which is Side Side Side.
Hope you got it.
A new food delivery robot on a college campus is doing test runs at a constant speed of 4 miles per hour. The average test run is 3 miles from the campus cafeteria but varies a distance of 1.5 miles more or less than that. If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in hours) for a test run is ____. For each test run, the minimum time is ____ hours and the maximum time is ____ hours.
Answer:
For each test run, the minimum time is 45 mins or 3/4 ____ hours
and the maximum time is 67.5 minutes or 1 hour 7.5 minutes.
Step-by-step explanation:
If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in hours) for a test run is 15 mins for 1 mile
For 4 miles the time is 1 hour
For 1 miles the time will be 1/4 hour
For 3 miles the time will be 3/4 hours
and for 4.5 miles the time will be 4.5/4 hours
Now reversing
1 hour = 4miles
15 mins= 1 mile
45 mins = 3 miles
30 mins = 2 miles
67.5 min= 4.5 miles
For each test run, the minimum time is ____ hours
the minimum distance is 3 miles and time taken is 45 mins
and the maximum time is ____ hours.
The maximum distance is 3+ 1.5= 4.5 miles and time taken is 67.7 minutues or 1 hour 7.5 minutes.
what is the solution of the equation 4.5 - 6s=9
Answer:
s = -0.75
Step-by-step explanation:
Mae Ling earns a weekly salary of $390 plus a 5.0% commission on sales at a gift shop.
How much would she make in a work week if she sold $4,100 worth of merchandise?
Answer:
$595 dollars in a week
Step-by-step explanation:
We know that Mae Ling earns $390 per week plus sales commissions of 5.0%, if we express this would be: (x refers to sales)
[tex]Earnings = $390 + 0.050x[/tex]So, it would be:
[tex]Earnings = $390 + 0.050(4100) = $595[/tex]Choose the parabola that represents the trinomial below by finding the
correct vertex.
x2 + 7x + 12
Find the y-intercept of the line on the graph.
Enter the correct answer
Maria earns an hourly wage of $10. She drew the following graph to show the relation of her income as a function of the hours she works. How did she modify the function y = x to create her graph?