Answer:
[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]
[tex]x= -\frac{7+\sqrt{697}}{8}[/tex]
Step-by-step explanation:
4(x+3)-4 = 81/2x +1
Add 4 to both sides
4(x+3) = 81/2x +5
Multiply both sides by 2x (This removes the division from the second half)
8x(x+3) = 81 +10x
Simplify
[tex]8x^{2}[/tex]+24x = 81 +10x
Subtract 10x from both sides
[tex]8x^{2}[/tex] +14x = 81
Subract 81 from both sides
[tex]8x^{2}[/tex] +14x -81 = 0
Solve using the quadratic formula
[tex]x= \frac{-b (+-) \sqrt{b^{2} -4ac}}{2a}[/tex]
a= 8, b= 14, c= -81
[tex]x = \frac{-14 (+-) \sqrt{14^{2} -4 *8(-81)} }{2*8}[/tex]
Simplify
[tex]\sqrt{14^{2} -4 *8(-81)} = 2\sqrt{967}[/tex]
[tex]\frac{-14 (+-) 2\sqrt{967}}{2*8}[/tex]
Simplified Solution
[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]
And
[tex]x=- \frac{7+\sqrt{697}}{8}[/tex]
I know this is confusing but I hope it helps. Keep in mind that (+-) means plus or minus. You might also look up what the quadratic formula is if you are not already familiar with it.
The drama club has $4000 to spend on their winter performance. They have already
spent $1500 on the set, and programs cost $1.75 each.
Thetinequality 1500 + 1.75x<=4000 can be used to determine the number
of programs, x, that can be ordered. Which statement about the number of
programs that can be ordered is true?
The drama club can purchase at least 1.428 programs
The drama club can purchase at most 1.428 programs
The drama club can purchase 1,429 programs
The drama club can purchase 4000 programs
Answer:
The drama club can purchase 1429 programs
Step-by-step explanation:
first to answer gets brainliest im being nice so what is 2+2 XD
Answer:
4
Step-by-step explanation:
what else o3o
Answer:
2+2=4
Step-by-step explanation:
tysm!!
Jordan is knitting a sweater. He keeps track of how many balls of green and yellow yarn he uses in the table below.
If he uses 15 balls of yellow yarn, how many balls of green yarn will he need?
Answer:
the answer is B i think ..............
what is the answer to this?
Answer:
[tex] < 1 = 48[/tex]
Step-by-step explanation:
[tex] < 1 + 132 = 180[/tex]
[tex] < 1 = 180 - 132[/tex]
[tex] < 1 = 48[/tex]
because it's a straight angle(180)
What is the slope of the line that passes through the points (4, -6) and (4, 6)?
Answer:
no slope
Step-by-step explanation:
m= y2-y1/x2-x1
m= 6-(-6)/4-4
m=12/0
m= no slope
all right guys help me out a little bit no jokes this is worth 13 points I need help with 432 / 73
Answer:
5.91780821918
Step-by-step explanation:
432/73 is the same as 432 ÷73=5.91780821918
Hope this helps ∞<3
You manage an appliance store that currently has excess warehouse inventory. You decide to offer a price reduction on washer-dryer combination sets. As a result of the price reduction, the company sells 36 combination sets, and this reduces their inventory by 25%. How many washer-dryer combination sets are in the warehouse after the sale? 27 70 108 144 864
Answer:
108Step-by-step explanation:
Let the amount of washer-dryer combination sets that are in the warehouse after the sale be x
Initial amount in the ware house is y
y - 36 = 75% of y
y - 36 = 0.75y
0.75y - y = -36
-0.25y = -36
y = 36/0.25
y = 144
The initial amount of wash dryer before sale is 144
After sale the amount of set in the house x = 144 - 36 = 108
Hence there 108 washer-dryer combination sets are in the warehouse after the sale
There are 40 questions in a test and you get 75 % correct. How many
questions do you get right?
Answer:
30
Step-by-step explanation:
To solve this problem the way I would do it would be:
75% = 3/4
40 ÷ 4 = 10 × 4
Since you have 75% or 3/4 you add 1/4 3 times. 1/4 of 40 is 10 so add 10 3 times.
10 + 10 + 10 = 30
Answer:
[tex]30[/tex]
Step-by-step explanation:
[tex]40 \times \frac{75}{100} = \\ 40 \times \frac{3}{4} = 30[/tex]
Find the slope of the line passing through the points (3, 4) and (8,-3).
Answer:
-1.4
Step-by-step explanation:
what is the interest earned in a savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly? round your answer to the nearest hundredth.
Interest = $ [?]
Answer:
$30
Step-by-step explanation:
2000 x .015 = 30
The interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]
For this case, we're specified that:
Initial amount = P = $2000Interest rate 1.5% annually (compound interest), or R = 1.5Time for which interest will be compounded = 12 months = 1 year = T (converted time to year as interest is being compounded annually).Thus, we get the amount of interest as:
[tex]CI = 2000\left(1 +\dfrac{1.5}{100}\right)^1 - 2000\\\\CI = 2000\times \dfrac{1.5}{100} = 30 \: \rm (in \: dollars)[/tex]
Thus, the interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30
Learn more about compound interest here:
https://brainly.com/question/11897800
#SPJ2
Plz help This is a very important thing I have to do and it depends 50% of my grade so please help...!
Answer:
A.B
Step-by-step explanation:
5 - sqrt1.35 = ~3.8
A) 3 / sqrt2 = ~2.1
B) 5 / sqrt3 = ~2.9
C) 3 + 2sqrt2 = ~5.8
D) 4 + 8/sqrt50 = ~5.1
What is 27 times 30 to the power of 2?(“real” question)
Answer:
24300
Step-by-step explanation:
first find the square for 30 * 30
then multiply!
Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke's mean score increased. Which could be Brooke's sixth quiz score? Select three options. 85 90 83 86 92
Step-by-step explanation:
Mean average = (84 + 72 + 90 + 95 + 87) / 5 = 85.6
For the mean score to increase, the new score must be greater than 85.6.
Hence the correct options are 90, 86 and 92.
Answer:
b, d, and e
Step-by-step explanation:
What is the product of 10x4 y2 and 3xy3 ?
Answer:
30x^5y^5
Step-by-step explanation:
What is the product of 10x4 y2 and 3xy3 ?
30x^5y^5
plz help me with this homework i have
A scale on a blueprint drawing of a house shows that 6 centimeters represents 3 meters.
What number of centimeters on the blueprint represents an actual distance of 27 meters?
Answer:
Step-by-step explanation:
Find the slope of the lines that go through the following points.
Answer:
use the formula y2 - y1 / x2 - x1
Answer:
y2-y1 /x2-x1
Step-by-step explanation:
slope is the same as gradient
follow this principle (x,y)
Gradient (m) =y2-y1 /x2-x1
use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.
Answer:
18. AE = 6
19. BG = 6
20. CF = 5
21. GF = 2
22. CE = 3
23. AC = 3·√5
24. A_F = 10
25. DA = 3·(√5 - 1)
Step-by-step explanation:
Whereby the point C is the center of the circle, we have;
CB = CG = CE = 3 = The radius of the circle with center at C
CE = 3
CF = √(4² + 3²) = 5 by Pythagoras' theorem
CF = 5
GF = CF - CG = 5 - 3 = 2
GF = 2
BG = CB + CG = 3 + 3 = 6
BG = 6
Whereby, BC is a tangent to the circle with center, C, we have;
A_F = √(8² + 6²) = 10 by Pythagoras' theorem
A_F = 10
AE = A_F - EF = 10 - 4 = 6
AE = 6
AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem
AC = 3·√5
DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)
DA = 3·(√5 - 1).
uhh.i dumb the screenshot is here
Answer:
40
Step-by-step explanation:
Just use a calculator. I didn´t need to. My brother helped me a little
What is the value of x in the solution of the system x+y=3
y=-6x+3
Plz, Help me with this question!!!!
Answer:
152y+125
Step-by-step explanation:
simplify [tex]\sqrt{80} + \sqrt{2\frac{2}{9}[/tex]
Answer:
[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]
Step-by-step explanation:
Simplify:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]
We must express the mixed fraction into an improper fraction:
[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]
Since 80 = 16*5 and 20=4*5
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]
Adding the fractions:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]
[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]
Solve the equation sin^2x=3Cos^2X.
I would love to graduate...so thanks in advance!
Answer:
240°
Step-by-step explanation:
[tex]sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree[/tex]
2-1/3x=1/6x+1
x=?
Merry Christmas
Answer:
x=2
Step-by-step explanation:
Thanks sweetheart <3
y=x+6
x+y=8
now graph 3 points on the line x+y=8
Answer:
y=2
Step-by-step explanation:
advgdsfh usb hey do f ft h
Problem
Solve for x
x + 5 = 10
——-
2
Answer:
Step-by-step explanation:
x = 5
Answer:
x=5
Step-by-step explanation:
Find tan θ if sec θ = square root of thirty seven divided by six and sin θ < 0.
Answer:
1/6
Step-by-step explanation:
sec = 1/cos = [tex]\sqrt{37}[/tex]/6 and cos is adj/hyp so the other side of the triangle is 1 and tan = sin/cos so 1/6
Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%
Answer:
$1800
Step-by-step explanation:
1. Approanch
An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.
2. Solving
Original salary; 1500
Raise; 20%
a. convert the raise as a percent into a decimal, then add 1
20% = 0.2
0.2 + 1 = 1.2
b. multiply the number by the original salary
1.2 * 1500
1800
Answer:
$ 1800
Step-by-step explanation:
Rise in payment = 20% of 1500
[tex]= \frac{20}{100}*1500\\\\=20 *15\\\\= $300[/tex]
New weekly wage = 1500 + 300
= $ 1800
What is the value of X?
A: 15
B: 27
C: 45
D: 12
Answer:
D
Step-by-step explanation:
Ted sells cleaning supplies. He earns a monthly salary of $850.00, plus commission. He earns 5% commission on the first $10,000 in sales, and 7% commission on any sales over $10,000. If he sold $14,000 worth of supplies this month, how much will his pay be this month?
Answer:
$1830Step-by-step explanation:
Step one:
Ted's monthly salary =$850.00
since he made sales over $10,000. that is he sold supplies worth $14,000
his commission will be 7% of $14,000
=7/100*$14,000
=0.07*$14,000
=$980
Required
His total earnings
Step two:
Hence his total earnings is, his monthly salary plus 7% commission of supplies worth $14,000
=$850.00+$980.00
=$1830