Answer:
x = 5/6
Step-by-step explanation:
Cross multiply.
18(x - 2) = 3(-7)
Divide both sides by 3.
6(x - 2) = -7
Distribute the 6.
6x - 12 = -7
Add 12 to both sides.
6x = 5
Divide both sides by 6.
x = 5/6
Answer: x = 5/6
[tex]\dashrightarrow\:\:\sf \dfrac{x - 2}{3} = \dfrac{-7}{18} \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf (x - 2) \times 18= -7 \times 3 \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf 18x - 36 = -21 \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf 18x = -21 + 36\\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf 18x = 15\\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf x = \dfrac{15}{18} \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf x = \dfrac{5}{6} \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\: \underline{ \boxed{\textsf{\textbf{x $\approx$ 0.84}}}}\\ \\ \\ [/tex]
What is the number of cycles of y=9cos(θ/4+3π/2)+4 between 0 and 2π?
Answer: Choice C) 1/4
===================================================
Work Shown:
Let's rearrange terms a bit to say the following:
[tex]y = 9\cos\left(\frac{\theta}{4}+\frac{3\pi}{2}\right)+4\\\\y = 9\cos\left(\frac{1}{4}\theta+\frac{3\pi}{2}\right)+4\\\\y = 9\cos\left(\frac{1}{4}\left(\theta+6\pi\right)\right)+4\\\\y = 9\cos\left(\frac{1}{4}\left(\theta-(-6\pi)\right)\right)+4\\\\[/tex]
The last equation is in the form [tex]y = A\cos\left(B\left(\theta-C\right)\right)+D\\\\[/tex]
where,
|A| = amplitudeB handles the period. Specifically T = 2pi/B, where T is the periodC handles the phase shift, aka horizontal shiftingD determines the midline and the vertical shiftingWe only need to worry about the value of B.
In this case, B = 1/4
So,
[tex]T = \frac{2\pi}{B}\\\\T = 2\pi \div B\\\\T = 2\pi \div \frac{1}{4}\\\\T = 2\pi \times \frac{4}{1}\\\\T = 8\pi\\\\[/tex]
The period is 8pi. Every 8pi units, a full cycle is completed.
However, we're not going from 0 to 8pi, but instead from 0 to 2pi.
The given interval is 2pi units wide. This is (2pi)/(8pi) = 1/4 of a full cycle. This is why choice C is the answer.
What is the coefficient in the term k?
A.0
B.1
C.2
D.k
Answer:
1
Step-by-step explanation:
because the is an invisible 1 in an letter
The state of California takes about 8% of your income for income tax. How much of your money do you owe California in taxes each month?
Answer:
you can't answer it without knowing how much money they have to multiply it by the 8% to find out what you'll be paying out to California each month
Step-by-step explanation:
you have to know your monthly income to know how much you're paying out in California
Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 17 years?
c. How many years will it take for the account to contain $2,500?
d. How many years will it take for the account to contain $3,000?
Answer:
a. $2480b. $4040c. 4 years and 2 monthsd. 8 years and 4 monthsStep-by-step explanation:
a. Account after 4 years:
2000 + 4*2000*0.06 = $2480b. Account after 17 years:
2000 + 17*2000*0.06 = $4040c. Time when account = $2500:
2000 + x*2000*0.06 = 2500120x = 500x = 500/120x = 4 20/120 = 4 2/12 years = 4 years and 2 monthsd. Time when account = $3000
2000 + x*2000*0.06 = 3000120x = 1000x = 1000/120x = 8 40/120 = 8 4/12 years = 8 years and 4 monthsif the relationship is proportional, what is the missing value from the table? -18 -15 15 18
Answer:
B
Step-by-step explanation:
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y=-5
Line 2: g=12-1
Line 3: r=-6
Line 4: y+5= -4(2+1)
solve for y.
-38=7y+17-12y
Answer:
y=11
Step-by-step explanation:
Im so 100 percent sure but thats mostly the right answer
Answer:
y = 11
Step-by-step explanation:
-38 = 7y + 17 - 12y
-38 = -5y + 17
-17 -17
-55 = -5y
divide both sides by -5
11 = y
or y = 11
Hope this helps!!!
Wendy spends 3/5 of her money on 3 bowls and 8 plates. With the rest of your money, you can buy another 6 bowls. If you spend all your money just on plates, how many plates can you buy?
answer: 16 plates
I apologize if this is an incorrect answer,however, I believe that the fraction was added to throw you off. so if you divide the number of bowls you get 2 and then you multiply 8 by 2
If you spend all your money just on plates. Then the number of plates that you can buy will be 20.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Wendy spends 3/5 of her money on 3 bowls and 8 plates. With the rest of your money, you can buy another 6 bowls.
Let 'x' be the cost of each bowl, 'y' be the cost of each plate, and 'T' be the total amount of money. Then the equations are given as,
3x + 8y = (3/5) T ...1
6x = (2/5) T
x = (1/15) T ...2
From equations 1 and 2, then the cost of each plate is calculated as,
3(1/15)T + 8y = (3/5)T
8y = 2/5
y = (1/20)T
If you spend all your money just on plates. Then the number of plates that you can buy will be given as,
⇒ T / (T / 20)
⇒ 20
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
3x-7-8+5x2 -x given x=-3
Answer:
-46
Step-by-step explanation:
-9-7-8-15-6-1 equals -46
the question above or below states
The triangle has an area of 90cm^2 what size can angle x be
Answer:
[tex]x=30°[/tex]
Step-by-step explanation:
[tex]Area=\frac{18*20sinx}{2} \\ \Leftrightarrow 90=\frac{18*20sinx}{2} \\ \Leftrightarrow sinx=\frac{90*2}{18*20}=\frac{1}{2}\\ \Leftrightarrow x=30°[/tex]
A shuttle bus leaves from my office at a speed of 32 miles per
hour. How many hours will it take to arrive at my house if the
distance from the office to my house is 83 miles? Enter your
answer rounded to the nearest tenth of an hour.
hrs
Answer:
2.6 hours
Step-by-step explanation:
use distance formula: d = r * t
83 = 32t
83/32 = t
2.6 = t
2.6 hours is 2 hours, 36 minutes
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!
The triangle shown is reduced to form a similar triangle that is 40% smaller than its current size. Write two equivalent expressions that could be used to find the perimeter.
A. 9.6x + 12
B. 9.6x - 12
C. 0.6(6x + 2x + 10 + 8x - 30)
D.0.40(6x + 2x + 10 + 8x - 30)
Answer:
B and C
Step-by-step explanation:
i just did this give me brainliest
Use synthetic division and the Remainder Theorem to find f(4) if f(x) = – 2x3 + 9x2
2x3 + 9.c- 6x + 7
Step-by-step explanation:
Let's see. f(4) makes the divisor x-4
4|-2 9 -6 7
| 8 -68 296
-2 17 -74 2072
The quotient is -2x²+17x-74 with a remainder of 2072
You carry a balance of $2065.00 on a credit card at a 17.25% APR for five months how much is your total payment by the fifth month $2213.14
A 2213.42
B 2077.37
C 2421.21
D 2094.68
please help!!! worth 15 pts
Answer:
clue 1 with graph 3, Clue 2 with graph 4, clue three with graph 1, and clue 4 with graph 2
Step-by-step explanation:
Hope this helps :)
Washington High School is building a new running track. The track is constructed from a rectangle and two semicircles. 51 ft 250 ft Part A Determine the distance the runners run around the edge of the track. Round to the nearest whole number. Use 3.14 for T. feet Part B The inside of the track will all be grass. Determine the area of grass needed to fill in the track. Round to the nearest whole number. Use 3.14 for it. square feet
Answer:
660 ft
Step-by-step explanation:
I got it right ✅ khhgu y jnj
Answer:
660ft
Step-by-step explanation:
Correct answer will get Brainlyist!
Answer:
Option B
Step-by-step explanation:
Question 7
1). √14 + 6.2 < 3π - 8.2
Since, 14 is the nearest whole square number to 16
√14 ≈ √16 ≈ 4
Similarly, π ≈ 3.14 ≈ 3
By substituting these approximate values in the inequality,
4 + 6.2 < 3(3) - 8.2
10.2 < 9 - 8.2
10.2 < 0.8
False.
2). [tex]\frac{17}{5}+\sqrt{64}>8+\pi[/tex]
[tex]\frac{17}{5}+8>8+\pi[/tex]
3.4 + 8 > 8 + 3.14
11.4 > 11.14
True.
3). 35 - √40 > 6π
[Since, nearest whole square integer to 40 is 36 and π ≈ 3]
35 - √36 > 6(3)
35 - 6 > 18
29 > 18
True.
Therefore, Option B is the correct option.
What is 69+69 please fast I need for test
Answer:
138
Step-by-step explanation:
Thats the answer bcus yea
Answer:
you can't rickroll be with 69
Step-by-step explanation:
but it is 138
Round your answer to the nearest hundredth BC=
Answer:
BC = 4.92
Step-by-step explanation:
cos 35° = [tex]\frac{?}{6}[/tex]
BC = 6 x cos 35°
BC = 6(.82) = 4.92
What is the slope of the line?
6x+10y=8
Answer:
First, get it into slope-intercept:
y = -3/5x + 4/5
The slope is -3/5
Step-by-step explanation:
PLLLLZZZZZZZZZZZZZZ HELPPPP ASAP 10 POINTS!
AND PLZ do both if u can!! <3 :(
Answer:
13p and 4p+3
Step-by-step explanation:
Add similar elements: 12p+p=13p
Add/Subtract the numbers: 6-3=3
Jane scored 4 times as many points as Lenny did in basketball. The sum of their scores was 35. How many did each score?
Answer:
Jane scored 28 and Lenny scored 7
Step-by-step explanation:
Solve for x.
15
20
Х
12
X=
Enter the number that belongs in the green box.
= [?]
Enter
Answer:
The value of x = 9
Step-by-step explanation:
Angle Bisector Theorem
An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.
Thus,
[tex]\frac{x}{15}=\:\frac{12}{20}[/tex]
Cross Multiply the expression
[tex]\:20\times x=12\times 15[/tex]
Divide both sides by 20
[tex]\frac{20x }{20}=\frac{180}{20}[/tex]
[tex]x=9[/tex]
Therefore, the value of x = 9
Which of the numbers given below is an irrational number ?
0
2.14
2.14367.....................
Answer:
2.14367............. is a irrational number.plss help!!! (15pts)
Answer:
w=54
Step-by-step explanation:
Answer:
W = 54
Step-by-step explanation:
Angles on a straight line add up to 180
180 - 126 = 54
If y varies inversely as x and y=10 when x= 5, find y when x= 5
Answer:
x = 10 when y = 5Step-by-step explanation:
Note: y = 10 when x = 5 is already given, must be find x for y = 5.
y = k/x is the formula, using the given values finding the constant:
10 = k/5k = 10*5k = 50So for y=5 we have:
5 = 50/xx = 50/5x = 1040 plus 40 minus 20 times 0 plus 3 plus 125 equals what
9514 1404 393
Answer:
208
Step-by-step explanation:
The order of operations requires that the multiplication be done before addition or subtraction.
40 + 40 - 20×0 + 3 + 125
= 40 + 40 - 0 + 3 + 125
= 80 - 0 + 3 + 125
= 80 + 3 + 125
= 83 + 125
= 208
__
The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)
Answer:
208
40 plus 40 minus 20 times 0 plus 125 in written form:
40 + 40 - 20 × 0 + 3 + 125
In order to get our answer 208, we must do it step by step:
First, we need to put 40 plus 40 into an equation:
40 + 40 = 80
Now that we have 80, we need to find 20 times 0:
20 x 0 = 0
Since 20 times 0 equals 0, we can now add 80 plus 3:
80 + 3 = 83
Now what we have left is to add 83 plus 125 which will give us our answer:
83 + 125 = 208!
The answer will be 208.
Hope this helps!
~Hocus Pocus
Find the difference between the total surface area and lateral surface area of a cube of side 6 cm
What is 0.1x30 I need help for this problem in math
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
-3 + 4 - 6 will give you
5
- 5
13
Answer:
-5
Step-by-step explanation:
i just guessed so dont trip
Answer:
-5
Step-by-step explanation:
or -3-6+4
or-9+4
therefore -5