Answer:
x=2
Step-by-step explanation:
5x(x+3)=x(5x-3)+36
5x^2+15x=5x^2-3x+36
-18x+36=0
36=18x
x=2
Find the measures of the angles of the AABC ifm ZA: m2B:m2C=2:3:4.
Answer:
AABC=76.9067 m2C=2:3:4.=234.76
Translate (in terms of x) then solve the algebraic equation: Five times the sum of 6 and some number is 20. HELPPPPP PLEASE HELP I REALLY NEED HELP
Answer:
The answer is 5 ( 6 + x ) = 20
Step-by-step explanation:
Five times = You are multiplying 5 to a number(s)
Sum of 6 and some number = Sum means to add. You are adding 6 to an unknown number.
In terms of x = You do not know what you are adding 6 with. Therefore 6+x.
is 20 = The total is 20.
To solve:
5 ( 6 + x ) = 20
30 + 5x = 20 Use the distributive property and multiply 5 to the 6 and the x
-30 + 5x = -30 Subtract the 30 on both sides
5x = -10 The 30's would cancel each other out and this is what's left
5x/5 = -10 / 5 Divide 5 on both sides.
x = -2 The 5 cancels each other on the left side.
x = -2 Is your answer
Hope this helps!
When the smoke cleared, the ratio of believers to skeptics was 15 to 7.If they were 105 believers, how many skeptics were there? PLEASE ANSWER QUICK
Answer:
[tex]\large\boxed{49}[/tex]
Step-by-step explanation:
Belivers to skeptics = 15 : 7
From the above ratio, we know that:
Believers = 15
Skeptics = 7
There were 105 believers, then we can rewrite the original ratio to be equal to the new one, to solve for x.
15 : 7 = 105 : x
Ratios can be written as fractions. Rewrite to simplify.
[tex]\frac{15}{7}[/tex] = [tex]\frac{105}{x}[/tex]
Cross multiply (numerator * denominator = numerator * denominator)
7 * 105 = 15 *x
735 = 15x
Divide both sides of the equation by 15
x = 49
There were 49 skeptics.
Hope this helps! Let me know if you have any questions!
FIRST CORRECT ANSWER WILL GET BRAINLIEST PLEASE SOLVE THESE ITS DUE TODAY
write 2^100 as an exponent with a base of:
a)16
b)32
c)1024
Answer: The answer is C.
Step-by-step explanation: Brainliest if correct
si a= 2 m y b= 3m,¿Cual es el valor numerico del area en metros cuadrados?
Can someone help me with this please :)
Answer:
:)
Step-by-step explanation:
I have no idea in the slightest
Answer:
1. > 2. = 3.<
Step-by-step explanation:
1. Well first I had to reduce 8/10. I found out that it is, when reduced, is 4/5. 4/5 is bigger than 3/8.
2. 10/10 and 8/8 are both equal to 1. So they are both equal.
3. none of those fractions had to reduced. Now 5/8 is bigger than 3/16.
The function f(x) is graphed on the coordinate plane. What is f(-1)?
find the equation of the line using y = mx + b. Then translate it as a function.
f(x) = -2x + 1
f(-1) = -2(-1) + 1
f(-1) = 3
define domian and range
Domain is all the values that go into a function, and the range is all the values that come out.
In 3 hours, the temperature dropped 13 1/2 degrees. On average, how many degrees did the
temperature drop per hour? Hint: the answer is a mixed number ex: 6 3/4 *
1 point
Your an
Answer:
The drop per hour is 4 1/2 degrees per hour
Step-by-step explanation:
In 3 hours, we had a drop of 13 1/2
So per hour, the drop we will have is;
13 1/2 divided by 3
Which is;
27/2 * 1/3
= 9/2 = 4 1/2 degrees per hour
Please help - find the orthocenter.
Answer:
Step-by-step explanation:
The line RS has a vertical line running through S. The line has the equation of x = - 1
The line running through R (the origin) has a slope to be determined by the points TS
T=6,0
S=-1,4
m = (y2 - y1) / (x2 - x1)
m = (4 - 0)/(-1 - 6)
m = 4/-7
The line you want going through 0,0 has a slope of m1 * m2 = -1 where m1 = -4/7
-4/7 * m2 = - 1
m2 = -1/(-4/7) = 7/4
Since the line goes through 0,0 the equation is y = 7/4 x
====================
The orthocenter must be on a y value determined by x = - 1
The orthocenter is (-1,-7/4)
y = 4/7
The orthocenter is (-1,4/7)
Which ordered pair is in the solution set of the system of equations shown below? Y^2-x^2+32=0 and 3y-x=0. A. (2,6) B. (3,1) C. (-1,-3) D. (-6,-2)
Answer:
The ordered pair (-6, -2) is in the solution set of the system of equations shown below ⇒ D
Step-by-step explanation:
To find the ordered pair that is in the solution set of the system of the equation substitute x and y in each equation by the coordinates of the ordered pair, if the two sides of equations are equal, then the ordered pair is in the solution set of the system of equations
∵ The equations are y² - x² + 32 = 0 ⇒ (1) and 3y - x = 0 ⇒ (2)
∵ The 1st ordered pair is (2, 6)
∴ x = 2 and y = 6
→ Substitute them in equation (2) first
∵ The left side = 3y - x
∴ The left side = 3(6) - 2 = 18 - 2 = 16
∵ The right sides = 0
∴ Left side ≠ Right side
∴ (2, 6) is not a solution to the system of equations
∵ The 2nd ordered pair is (3, 1)
∴ x = 3 and y = 1
→ Substitute them in equation (2) first
∵ The left side = 3y - x
∴ The left side = 3(1) - 3 = 3 - 3 = 0
∵ The right sides = 0
∴ Left side = Right side
→ Substitute them in equation (1)
∵ The left side = y² - x² + 32
∴ The left side = (1)² - (3)² + 32 = 1 - 9 + 32 = 24
∵ The right sides = 0
∴ Left side ≠ Right side
∴ (3, 1) is not a solution to the system of equations
∵ The 3rd ordered pair is (-1, -3)
∴ x = -1 and y = -3
→ Substitute them in equation (2) first
∵ The left side = 3y - x
∴ The left side = 3(-3) - (-1) = -9 + 1 = -8
∵ The right sides = 0
∴ Left side ≠ Right side
∴ (-1, -3) is not a solution to the system of equations
∵ The 4th ordered pair is (-6, -2)
∴ x = -6 and y = -2
→ Substitute them in equation (2) first
∵ The left side = 3y - x
∴ The left side = 3(-2) - (-6) = -6 + 6 = 0
∵ The right sides = 0
∴ Left side = Right side
→ Substitute them in equation (1)
∵ The left side = y² - x² + 32
∴ The left side = (-2)² - (-6)² + 32 = 4 - 36 + 32 = 0
∵ The right sides = 0
∴ Left side = Right side
∴ (-6, -2) is a solution to the system of equations
The ordered pair (-6, -2) is in the solution set of the system of equations shown below
A chess club has 480 members but is losing 30 members each year. A computer club has 130 members and is gaining 20 members per year. When will the two clubs have the same number of members?
Answer:
The two clubs will have the same number of members after 7 years
Step-by-step explanation:
Let the number of years is x
∵ A chess club has 480 members but is losing 30 members each year
∵ The number of years = x
∴ The total members after x years = 480 - 30x ⇒ (1)
∵ A computer club has 130 members and is gaining 20 members per year
∵ The number of years = x
∴ The total members after x years = 130 + 20x ⇒ (2)
∵ The two clubs will have the same number of members after x years
→ Equate (1) and (2)
∴ 480 - 30x = 130 + 20x
→ Add 30x t both sides
∵ 480 - 30x + 30x = 130 + 20x + 30x
∴ 480 = 130 + 50x
→ Subtract 130 from both sides
∵ 480 - 130 = 130 - 130 + 50x
∴ 350 = 50x
→ Divide both sides by 50
∴ 7 = x
∴ The two clubs will have the same number of members after 7 years
Which one is correct?
Answer:
7
Step-by-step explanation:
Proprtion is 1:3
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:7
Step-by-step explanation:
there all is divided by three for the smaller triangles
Find the difference between the simple interest and compound interest on RS 2500 for 2 years at 4% per annum, compound interest being reckoned semi annually.
Step-by-step explanation:
Given P=Rs.2,500,r=4%, N=2
CI=P(1+
100
R
)
2
−P=2,500(1+
100
4
)
2
−2,500=2,500(
100
2
104
2
−1)=
10,000
2,500×816
=Rs.204
SI=
100
P×T×R
=
100
2,500×4×2
=Rs.200
Difference=Rs.4
(-7/2z+4)+(1/5z-15)=
Answer:
-33/10 z - 11
Factor the polynomial expression 27x^6-8
Answer:
(3 x 2 − 2) (9 x 4 + 6 x 2 + 4)
Step-by-step explanation:
I attached a screenshot that explains more
May I ave brainliest please? :)
HELP PLEASE, I will give brainliest
Answer:
The first one.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The first one is correct.
find the value of x so that the function has the given value.
q(x)=12x−3; q(x)=−4
Answer:
[tex] - \frac{1}{ 12} [/tex]
Step-by-step explanation:
since q(x)=-4
substitute
hence
-4=12x-3
take -3 to the other side where it becomes positive
therefore
-1=12x
divide by 12
you will get the above answer
helpp ill mark u as brainlist
Answer:
H
Step-by-step explanation:
6 Rearrange the linear equation so that it is in slope interceptform. Identify the slope (m) and the intercept (b). You must show your work for full credit
X-4=2(y - 3)
Answer:
[tex]y=\frac{1}{2}x+1[/tex] is in the slope-intercept form.
so the slope will be:
[tex]m=\frac{1}{2}x[/tex]and y-intercept will be:
b = 1Step-by-step explanation:
Given the equation
[tex]x-4=2(y - 3)[/tex]
As we know that [tex]y = mx+b[/tex] is the slope-intercept form of a line where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
Converting to slope-intercept form
[tex]x-4=2(y - 3)[/tex]
switching sides
[tex]2\left(y-3\right)=x-4[/tex]
[tex]2y-6=x-4[/tex]
[tex]2y=x-4+6[/tex]
[tex]2y=x+2[/tex]
[tex]y=\frac{1}{2}x+1[/tex]
As [tex]y = mx+b[/tex] is the slope-intercept form of a line where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
Therefore, [tex]y=\frac{1}{2}x+1[/tex] is in the slope-intercept form.
so the slope will be:
[tex]m=\frac{1}{2}x[/tex]and y-intercept will be:
b = 1Help me please!
w-7(w-7)
Answer:
-6w+49
Step-by-step explanation:
w-7(w-7) <-- Distribute the -7
w-7w+49 <-- Combine like terms
-6w+49
what are the other three numbers for 12,14,13,15
Answer:
12,14,13,15,17,16,19,18
Step-by-step explanation:
y=5
y=3
Identify the slope and y-intercept of the line with the given equation. (2pts. each)
15. y=7x-4
16.2x + 5y = 5 17.-3x - 49 = -16
Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west. How far apart are the sales representatives? Estimate the distance to the nearest tenth. 22.6 mi 16.4 mi 20.6 mi 11.8 mi
Answer:
d = 20.6 miles
Step-by-step explanation:
Given that,
Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west.
It is required to find the distance between two representatives. It it is d. It can be calculated as the resultant if two values as follows :
[tex]d=\sqrt{20^2+5^2} \\\\=20.61\ mi[/tex]
So, the sales representative are 20.6 miles apart. Hence, the correct option is (c).
In exercise 14 and 15, the value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x. then find the surface area and volume of the cylinder. 14)With the height of x and base of 6ft 15) with the height x and base of 10 m
Answer and explanation:
Volume of a cylinder = π r² h
Surface area of a cylinder = 2π r h + 2π r².
Since volume of cylinder = surface area of cylinder
π r² h=2π r h + 2π r²
Solving 14)
Given height x and base 6ft, radius will be 3ft
π r² h=2π r h + 2π r²
22/7*3²*x= 2*22/7*3*x+2*22/7*3²
=22/7*9*x= 2*22/7*3*x+2*22/7*9
= 28.286x=18.857x+2*28.286
=28.286x=18.857x+56.572
=9.429x=56.572
x=5.999ft( x cannot be a negative value)
15) Given height x and base 10 m, radius will be 5m
π r² h=2π r h + 2π r²
22/7*5²*x= 2*22/7*5*x+2*22/7*5²
78.5714x= 31.429x+157.1428
47.1424x=157.1428
x=3.333m( because x cannot be negative)
1. Which equation represents a line that is perpendicular to the line represented by 2x - y =7
The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6
Equation of a lineThe equation of a line in slope-intercept form is expressed as;
y = mx + b
where;
m is the slope
b is the y-intercept
For two lines to be perpendicular, the product of their slope must be -1
Given the equation 2x - y =7
Rewrite
y = 2x - 7
The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6
Learn more on equation of a line here: https://brainly.com/question/13763238
#SPJ1
jada has already taken 4 pages of notes on her own, and she will take 2 pages out during each class session. In all, how many classes did jada attend if she rae out 56 pages ? explain how you know
Answer:
26
Step-by-step explanation:
I don't totally understand you question but if its 4 pages originally then she takes 2 pages every class, then
56-4= 52 (56 pages minus the 4 she already took).
52/2= 26 (52 pages divided by 2 pages per class)
Solve for x
3x - 8= 7x +4
Answer:
x=-3
Step-by-step explanation:
uji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80.
A table titled Apples showing Pounds, Cost per Pound and Total. The first row shows Fuji and has 30 minus g, 3, and x. The second row shows Golden Delicious, and has g, 2, and blank. The third row shows Total, and has 30, blank, 80.
Which value could replace x in the table?
30 – g + g
3(30 – g)
30 – g(3)
30 – g + 3
Answer:
3(30-g)
Step-by-step explanation:
Answer:
second one B. 3(30-g)
Step-by-step explanation:
Y=4x-6
linear or function
Answer:
linear hope this helps :>