Answer: a = -3
Step-by-step explanation:
42 = 3(-4a) + 6
42 = -12a + 6
Subtract 6 from both sides
36 = -12a
Divide both sides by -12
-3 = a
a = -3
A clothing store has a 20% discount on all items in the store. If the discount for a sweater is $18, what is the original cost of the sweater?
Answer:
$90
Step-by-step explanation:
Let x = original cost
20% of x is $18
0.2x = 18
divide both sides by 0.2
x = 90
Answer: $90
Select the correct answer from each drop-down menu.
(cos2x-cos4x)/(sin2x+sin4x)=
a. cot x
b. tan x
c. sin x
d. cos x
(cos2x+cos4x)/(sin2x-sin4x)=
a. cot x
b. -cot x
c. sin x
d. -tan x
Answer:
[tex](b)\\\tan x, \cot x[/tex]
Step-by-step explanation:
Given
trigonometric function is
[tex]\dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}[/tex]
Applying trigonometric formulae
[tex]\Rightarrow \cos C-\cos D=-\sin (\dfrac{C+D}{2})\sin (\dfrac{C-D}{2})\\\\\Rightarrow \sin C+\sin D=\sin (\dfrac{C+D}{2})\cos (\dfrac{C-D}{2})[/tex]
[tex]\Rightarrow \dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}=\dfrac{2\sin 3x\cdot \sin x}{2\sin 3x\cdot \cos x}\\\\\Rightarrow \dfrac{\sin x}{\cos x}=\tan x[/tex]
option (b) is correct
[tex]\Rightarrow \dfrac{\cos 2x+\cos 4x}{\sin 2x-\sin 4x}=\dfrac{2\cos 3x\cdot \cos x}{2\cos 3x\cdot \sin (-x)}=-\cot x[/tex]
1+11 please help i need tutor
PLEASEEEE HELP ASAP!!!
Answer:
16 cm^2
Step-by-step explanation:
The sqaure is 2*2=4
base x hieght for triangle then divide by one half
so
2 x 2 = 4
3*2 =6 then 6/2=3
3*4=12
12+4=16
16 is the answer
Drow two different rectilinear shapes each with an area of 6 squares.
Answer:
We can draw a rectangle and a square.
First the square:
The area of a square of sidelength L is:
A = L^2
So if the area of this square must be 6 square units, we get:
6 square units = L^2
L = √(6 square units) = 2.45 units
Now for a rectangle, we know that for a rectangle of length L and width W, the area is:
A = L*W
Now let's give the width a value of 1 unit, then W = 1unit
A = L*1 unit
And we know that the area must be of 6 square units, then:
6 square units = L*1 unit
(6 square units)/(1 unit) = L
(6 units) = L
The drawings (these are not exact ones, i'm doing them with a mouse) of the images can be seen below.
What is the equation for calculating the area of a triangle?
(A)A = base · height
(B)A = base · height
(C)A = pi · height
(D)A = length · width
Answer:
the answer is B
Step-by-step explanation:
The line plot shows the height, in inches, of the members of the schools soccer team. which school team has a distribution in which fewer than half of the data values overlap with the soccer team?
A. Gymnastics : Minimum of 57, Median of 60, and maximum of 64
B. Baseball : Minimum of 58, Median of 62, and maximum of 66
C. Swimming : Minimum of 59, Median of 66, and Maximum of 70
D. Basketball : Minimum of 62, Median of 66, Maximum of 69
Answer:
The answer is A. Gymnastics : Minimum of 57, Median of 60, and maximum of 64
Step-by-step explanation:
Solve for y. Go to attached image
Answer:
y=4Step-by-step explanation:
12(2y+1)-18y=36 <---- Distribute 12 into 2y+1
24y+12-18y=36 <----- Subtract 24y by 18y
6y+12=36 <---- Subtract 12 from 36
6y=24 <---- Divide 6 by 24
y=4
Factorize the following using identities 196p²– 121p²
Answer:
75p²
Step-by-step explanation:
Given data
We are given the expression
(196p²– 121p²)
We can see the p is common in both terms
=p²(196-121)
=p²(75)
=75p²
Hence the factorized form is 75p²
Which expression is equivalent to 9.7d+4.1+5.1d-9.2
A) 13.8d−4.1
B) 14.8d+13.3
C) 4.6d−5.1
D −5.1+14.8d
Answer:
9.7d+4.1+5.1d-9.2
9.7d +5.1d+4.1-9.2 (take same element near)
d(9.7d +5.1) + 4.1-9.2
d(14.8) - 5.1
answer :
D −5.1+14.8d
Step-by-step explanation:
Is it just me or when ur laying in bed thinking. But when u finally think everything is fine time slows down and reality sets in and u realize its life and it will never get better and u will always be lonely.
Answer:
Im pretty sure God is telling you to rethink life
Step-by-step explanation:
Answer:
ik how it feels
and ur not the only one, but just know you are never alone ok
Step-by-step explanation:
You earn 4$ in bonus bucks for each 50$ you spend. Complete the graph to model this situation.
Answer:
The domain or x-values are on the horizontal axis, this is what you spend.
The range or y-values are on the vertical axis, this is your bonus.
The points to be indicated:
(0, 0), (50, 4), (100, 8), (150, 12), (200, 16), (250, 20)Plot the points and connect to make a line.
The graph is attached
What is the opposite of 1/8 not 1/4
Answer:
8/1
Step-by-step explanation:
Since the Opposite is the other way around you flip the answer the other way around
Complete the table for the given rule.
Step-by-step explanation:
0.75
3.75
9.75
please mark me brainliest
More than one-sixth of the dogs from the shelter were adopted at the event today. If there are 90 dogs at the shelter, how many dogs were adopted? Let d represent the number of dogs adopted.
Write an inequality to show how many dogs were adopted.
What is the possible amount of dogs adopted?
a) 20
b) 15
c)10
d) 5
Several million lottery tickets are sold, and 21% of the tickets are held by men. Suppose you select a random sample of people and let X represent the number of people in your sample for which are men with winning tickets. What type of random variable is X?
hypergeometric
Bernoulli
poisson
uniform
Answer:
hypergeometric
Step-by-step explanation:
For each winning ticket, there are only two possible outcomes. Either it is held by a men, or it is not.
There is a set number of X, and as the number of winning tickets decrease, the probability of a winning ticket being held by a men can decrease or increase. This is a characteristic of the hypergeometric distribution.
What is the scale factor from ADEF to AABC?
Answer:
1/2
Step-by-step explanation:
The red markings is not clear but I think the larger one is triangle DEF, if not, then the answer is 2
Answer:
1/2
Step-by-step explanation:
The dude above said if the big triangle is not DEF then it's two, but the big triangle is DEF therefore it is: 1/2.
PLEASE HELP ME!
In a basketball game, Beth made 16 shots. Each shot was worth either 2 points or 3 points. Beth finished with a total of 39 points for the game. Let x represent the number of 2 point shots made, and let y represent the number of 3 point shots made. Write a system of equations to model the situation.
x + y = 16
2x + 3y = 39
x + y =39
2x + 3y =16
x + 3y = 16
2x + y = 39
2x + y = 16
x + 3y = 39
Answer:
A. x+y=16; 2x+3y=39
Step-by-step explanation:
The total number of shots made is the amount of 2 points and 3 point shots made. The amount of points is the number of 2 point shots made (x) times 2 and the amount of 3 point shots made (y) times 3. So A is the answer
Answer:
Answer is 39 Hope you did well on your work
Apply the distributive property to factor out the greatest common factor. 35+14=35+14=35, plus, 14, equals
Answer:
The greatest common factor is 7
[tex]35 + 14 = 49[/tex]
Step-by-step explanation:
Given
[tex]35 + 14 =[/tex]
Required
Apply distributive property
Express 35 as 7 * 5 and 14 as 7 * 2
[tex]35 + 14 = 7 * 5 + 7 * 2[/tex]
Apply distributive property
[tex]35 + 14 = 7 ( 5 + 2)[/tex]
The greatest common factor is 7
Solving further to get the solution
[tex]35 + 14 = 7 * 7[/tex]
[tex]35 + 14 = 49[/tex]
Answer:
7(5+2)
hope this helps <3
Mike takes twice as long as Rachel to complete a project. Together they can complete the project
in 10 hours. How long will it take each of them to complete the project alone?
Answer:
It will take 20 hours for them to do it alone
Step-by-step explanation:
10+10
10x2
Find the sum. Enter your answer in the box below as a fraction, using the
slash mark (/) for the fraction bar.
3+2
6+6
Answer:
5/12
Step-by-step explanation:
add: 3+2=5, 6+6=12. put 5 on the top 12 on the bottom
38. Joey paid for 5 hours of batting lessons in March.
Each hour cost him $23.50.
Joey also paid $42.25 for his membership
fee.
What is the total amount that Joey paid for his lessons in
March?
Answer:
159.75
Step-by-step explanation:
23.50×5=117.5
117.5+42.25=159.75
4. х2 + 6x – 27 =
Solving quadratics by factoring
Answer:
19x²
Step-by-step explanation:
sorryy hehe not sure dfhjjsdcbjhrsszzchjjhdssdghhjgesss
Answer:
Step-by-step explanation:
2x + 6x - 27=
8x - 27 (In this step, we add the like terms 2x+6x.)
Is this the kind of answer you needed?
A cone and a cylinder both have a diameter of four feet and a height of six feet. Determine if the statement is true by selecting Yes or No.
Answer:
yes, no, yes, no
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yes, No, Yes, No. Hope this helps!
Find the value of each variable that makes the equation true.
a. 2^5 x 2^3 = 2^a
b. 7^4/7^b = 7^-2
c. 8^c = 1/64
a. 2⁵ × 2^(3) = 2^(a) is a = 8.
b. 7⁴/[tex]7^b[/tex] = 7⁻² is b = 6.
c. [tex]8^c[/tex] = 1/64 is c = - 2.
What are some rules of exponents?Some common rules of exponents are
[tex]{a^b}\times{a^c} = a^{b + c}[/tex].
[tex]\frac{a^b}{a^c} = a^{b - c}[/tex]
We can only add and subtract exponents only when we have the same base.
Given,
2⁵ × 2³ = [tex]2^a[/tex].
[tex]2^{5+3}[/tex]= 2^(a).
[tex]2^8[/tex] = [tex]2^a[/tex]
a = 8.
[tex]\frac{7^4}{7^b}[/tex] = [tex]7^{-2}[/tex]
[tex]7^{4-b}[/tex] = [tex]7^{-2}[/tex].
4 - b = - 2.
- b = - 6.
b = 6.
[tex]8^c[/tex] = 1/64.
[tex]8^c[/tex] = 1/[tex]8^2[/tex].
[tex]8^c[/tex] = [tex]8^{-2}[/tex]
c = - 2.
learn more about exponents here :
https://brainly.com/question/15993626
#SPJ2
What is gx)?
10
-10
A. g(x) = -2
B. g(x) = -1
C. g(x) =-
D. g(x) = -2
Answer:
your answer will be OPTION D!!
Step-by-step explanation:
hope it helps you
have a great day!!
i give brainly to answer
Answer:
x = 50º
Step-by-step explanation:
All angles in a triangle have to add up to 180º
999% is 2345 of what number?
Willing to give 5 stars, a thanks, and a brainliest (probably)
Answer:
4.26
Step-by-step explanation:
Answer:
4.26
Step-by-step explanation:
Choose all the expressions that are equal to 34. A. 815−511 B. 712+16 C. 56−112 D. 1+14 E. 1720−35
Answer:
A
Step-by-step explanation:
Given that you should Choose all the expressions that are equal to 304.
A. 815−511 = 304
B. 712+16 = 728
C. 56−112 = - 56
D. 1+14 = 15
E. 1720−35 = 1685
Among all these options, it's only option A that is 304.
Therefore, option A is the answer because it gives 304.
Given the median QR and trapezoid MNOP, what is the value of x?
Answer:
Option A
Step-by-step explanation:
Median of a trapezoid is parallel to both the bases and measure of median equals to half of the sum of bases.
By this property,
QR = [tex]\frac{1}{2}(PM+ON)[/tex]
[tex](x+15)=\frac{1}{2}[(9x-42)+(30)][/tex]
2x + 30 = 9x - 12
9x - 2x = 30 + 12
7x = 42
x = 6
Option A is the correct option.
Answer:
6
Step-by-step explanation: