Equation:
x+3x+3x-7=28
Solving:
3x+3x+x=7x
7x-7=28
7x=28+7
7x=35
x=5
Plug 5 into the equations and you’ll get:
First term = 5
Second term = 15
Third term = 8
I need more help with 21 questions
Answer:
45
Step-by-step explanation:
9 ÷ 1/5
9 × 5/1
9 × 5
45
A man bought a car for $8200 and sold it for 80% of the price two years later. How much did he lose?
Answer:
I don't know for sure, but I'm pretty sure its 1,640.
Step-by-step explanation:
80% of 8,200 is 6560, and then do 8,200- 6,560, you get 1,640.
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According to question, The price at which it was sold is equal to :
[tex]80 \% \: \: of \: \: 8200[/tex][tex] \dfrac{80}{100} \times 8200[/tex][tex]80 \times 82[/tex][tex]6560[/tex]The car was sold at $ 6560
Now, loss is equal to :
[tex]8200 - 6560[/tex][tex] \$ \: 1640[/tex]Only answer if you're very good at Math.
Given f(x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?
A: ( g o f) (x) = x^2 + 1
B: ( g o f) (x) = ( x + 1)^2
C: ( g o f) (x) = x^2 + x + 1
D: ( g o f) (x) = x^2 ( x + 1)
Answer:
The answer is B: ( g o f) (x) = ( x + 1)^2
Explanation:
⟹ (g ∘ f) (x) = g [f (x)]
Replace x in g(x) = x^2 with x+1
= ( x + 1 ) ^2
Ryan rides his bicycle 5 miles in 34 hour. How many miles can he ride at the same rate in 1 hour?
210
What is the arc length when
=
and the radius is 6 cm?
Answer:
ans : option 2nd
Step-by-step explanation:
total angle substand perimeter of circle so,
so solve by using unitary methods
A vase is shaped like a rectangular prism with a square base of length 11 cm. It has 2 litres of water poured into it. To what height (to 1 decimal place) does the water reach in the vase?
Answer:
x=16.53cm
Step-by-step explanation:
1 liter = 1000 cm^3
The volume of water in the rectangular prism will be 11*11*x = 2000
121x=2000
x=2000/121
x=16.53cm
What is the sum of the polynomials?
(6x+7+x2)+(2x2-3)
-x^2 +6x+4, 3x^2 +6x+4, 9x+4, 9x^2 +4
9514 1404 393
Answer:
(b) 3x^2 +6x+4
Step-by-step explanation:
(6x+7+x^2)+(2x^2-3)
= (1 +2)x^2 +(6)x +(7 -3) . . . . combine like terms
= 3x^2 +6x +4
Answer:
3x ² + 6x + 4
Step-by-step explanation:
( 6x + 7 + x² ) + ( 2x² -3 )
Remove unnecessary parantheses6x + 7 + x² + ( 2 x² - 3 )
6 x + 7 + x² + 2x ² - 3
subtract the numbers6 x + 7 - 4 + x² + 2x²
collect like terms6x + 4 + 3x²
use the commutative property to reorder the terms3x ² + 6x + 4
Write the number 0.000 378 21 in standard form.
help please
Answer:
3.7821 (SDF)
Step-by-step explanation:
Take the number by 378 21 and place it in the right forms/place marks. Such as ones and tens place ect. Then there is your answer.
solve the system of equations by graphing
3x+y=7
x+2y=4
9514 1404 393
Answer:
(x, y) = (2, 1)
Step-by-step explanation:
The graph of these equations is attached. The solution is ...
(x, y) = (2, 1)
Some help with this pleaseee!
Answer:
g(x) = |x| + 7
Step-by-step explanation:
Adding the constant +7 on the end of the equation means a translation 7 units up.
5х – 4 y = -10
3х + 2y = 16
Answer:
x= 2, y= 5
Step-by-step explanation:
5x -4y= -10 -----(1)
3x +2y= 16 -----(2)
(2) ×2:
6x +4y= 32 -----(3)
(1) +(3):
5x -4y +6x +4y= -10 +32
11x= 22
x= 22 ÷11 (÷11 on both sides)
x= 2
Substitute x= 2 into (2):
3(2) +2y= 16
6 +2y= 16
2y= 16 -6
2y= 10
y= 10 ÷2
y= 5
Given the function f(x) = 4x - 2, explain and show how to find the average rate of change between x = 2 and x = 4.
Answer:
The average rate of change between x = 2 and x = 4 is of 4.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function f(x) in an interval [a,b] is given by:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
In this question:
[tex]f(x) = 4x - 2, b = 4, a = 2[/tex]
Thus:
[tex]f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14[/tex]
[tex]f(a) = f(2) = 4(2) - 2 = 8 - 2 = 6[/tex]
Average rate of change:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
[tex]A = \frac{14-6}{4-2}[/tex]
[tex]A = \frac{8}{2}[/tex]
[tex]A = 4[/tex]
The average rate of change between x = 2 and x = 4 is of 4.
Consider the dataset below and respond to the questions that follow: Advertisement ($'000) Sales ($'000) 1068 4489 1026 5611 767 3290 885 4113 1156 4883 1146 5425 892 4414 938 5506 769 3346 677 3673 1184 6542 1009 5088 Construct a scatter plot with this data. Do you observe a relationship between both variables
Answer:
The scatter plot is attached in the image
There exists a positive linear relationship between the two variables i.e sales and advertisements.
Step-by-step explanation:
The scatter plot is attached in the image
There exists a positive linear relationship between the two variables i.e sales and advertisements.
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $3000 loan for 30 months at 8.5% APR. What is the monthly payment? (Round your answer to the nearest cent.)
Answer:
111.35
Step-by-step explanation:
effective rate: .085/12= .00708333333333
[tex]3000=x\frac{1-(1+.00708333333333)^{-30}}{.00708333333333}\\x=111.35[/tex]
How is 10+10 the same as 11+11?
Answer:
I only remember the funny thing my dad told me
PLEASE HELP ASAP PLSSSSS!!!
Answer:
143 degrees
Step-by-step explanation:
First find angle ACB which is 180-83=97
Then angle ABC which is 180-134=46
Then angle CAB (97+46)-180=37
Finally angle HAB 180-37=143
Find the value of x.
1680
x = [? ]°
The value of x is 84 degrees.
What is tangent to a circle?
The tangent line to a circle at a given point is the straight line that just touches the circle at the point.
A tangent to a circle is perpendicular to the radius at the point of tangency.
According to the question
we have to find the value of x.
Let us assume that a circle have a center at O. And Mark the end of the given chord P and Q.
Connect OP and OQ.
here,
OP = OQ
⇒∠OQP = ∠QPO
Now in triangle POQ, we have
⇒∠QOP + 2∠ OPQ = 180
⇒168 +2∠OPQ =180
⇒2∠OPQ = 12
⇒∠OPQ =6 degrees.
As we know that, tangent to a circle is perpendicular to the radius at the point of tangency.
⇒ x + ∠QOP = 90
⇒ x + 6 = 90
⇒ x = 90-6 = 84 degrees.
Hence, value of x is 84 degrees.
Learn more about the tangent to the angle here:
https://brainly.com/question/23265136
#SPJ2
Determine the value of x
Answer:
the answer is "C" because I did it on Khan academyThe value of x in the triangle is 17.51
Option C is the correct answer.
We have,
From the figure,
We can use the tangent function.
This means,
Tan = perpendicular / Base
i.e
tan 35 = x / 25
0.700 = x / 25
x = 0.700 x 25
x = 17.5
Thus,
The value of x in the triangle is 17.51.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ6
Someone help me please!!!
Answer:
Domain: 2<x<7
Range: 1<y<2
Step-by-step explanation:
Range is the y value but domain is the x value
Mark me Brainliest if this works! Thanks!
( 2, 1 ) and ( 7, 2)
Domain - 2 and 7
Range - 1 and 2
I hope you understand...
Mark me as brainliest...
This is the last one thank u !
Answer and Step-by-step explanation:
The answer is that A'C' will be 1.5 times longer than AC.
This is because you are dilating the figure by a scale of 1.5.
#teamtrese #PAW (Plant and Water)
An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
35.5%
3.33%
3.23%
37.2%
Answer: 3.33% (choice B)
===================================================
Work Shown:
A = true value = 60
B = estimated or measured value = 62
C = percent error
C = ( |A-B|/A ) * 100%
C = ( |60-62|/60 ) * 100%
C = (2/60)*100%
C = 0.0333*100%
C = 3.33%
The result is approximate.
School is almost over pls help
Answer:
3. pollution
4. the land becomes fertile
The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in by selling all x items is R=68x−0.4x2. How many items must be sold to obtain a weekly profit of $300?
Answer:
The company needs to sell either 30 or 40 items.
Step-by-step explanation:
We are given that the cost for selling x items given by the function:
[tex]C(x)=40x+180[/tex]
And the revenue for selling x items is given by:
[tex]R(x)=68x-0.4x^2[/tex]
The profit function is the cost function subtracted from the revenue function:
[tex]P(x)=R(x)-C(x)[/tex]
Substitute and simplify:
[tex]\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}[/tex]
To find how many items must be sold in order to obtain a weekly profit of $300, we can let P equal 300 and solve for x. So:
[tex]300=-0.4x^2+28x-180[/tex]
Solve for x. Subtract 300 from both sides:
[tex]-0.4x^2+28x-480=0[/tex]
We can divide both sides by -0.4:
[tex]x^2-70x+1200=0[/tex]
Factor:
[tex](x-40)(x-30)=0[/tex]
Zero Product Property:
[tex]x-40=0\text{ or } x-30=0[/tex]
Solve for each case:
[tex]x=40\text{ or } x=30[/tex]
So, in order to obtain a weekly profit of $300, the company need to sell either 30 or 40 items.
URGENT PLEASE ANSWER
Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio
Cleopatra : Dalila : Ebony =
5 : 7 : 8
A) How many dollars do they have in total?
B) Dalila spends 12$ on a hat, how many dollars does she have left?
Answer:
A)$60
B)$9
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW
Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio
Cleopatra : Dalila : Ebony =
5 : 7 : 8
Cleopatra has $15.
A) How many dollars do they have in total?
B) Dalila spends 12$ on a hat, how many dollars does she have left?
A)
Total ratio=(5 +7 +8)= 20
Cleopatra has $15.
Let X = total money
Ratio of Cleopatra= 5/20 ×X=15
5X /20 = 15
5X= (15×20)
X= $60
They have $60 in total
B) ratio of Dalila= 7/20 × 60 = $21
But 12$ was spent by Dalila on a hat
Then Dalila will have ($21 - 12$) Left
= $9
PLS HELP ASAP! FIND THE AREA OF THIS FIGURE, THANK YOU!
Answer:
A = [12 + 9(pi)] yd^2 = 40.3 yd^2
Step-by-step explanation:
A = area of triangle + area of semicircle
A = bh/2 + (pi)r^2
A = (6 yd)(4 yd)/2 + (pi)(3 yd)^2
A = 12 yd^2 + 9(pi) yd^2
A = [12 + 9(pi)] yd^2 = 40.3 yd^2
(a[tex]x^{2} x^{2} 3[/tex]
Answer:
[tex]3a {x}^{4} [/tex]
Step-by-step explanation:
remeber that idical laws
[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]
lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% confidence interval
Answer:
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=8[/tex]
Mean [tex]\=x=4.1602[/tex]
Standard deviation [tex]\sigma=0.001gram[/tex]
Generally 99\% confidence from table is mathematically given by
[tex]99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}[/tex]
[tex]P(-z<x<z)=0.99[/tex]
[tex]Z_{\alpha/2}=2.576[/tex]
Generally the equation for 99\% confidence level (CI) is mathematically given by
[tex]99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}[/tex]
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
A card deck for a board game has 20 cards, of which 4 are red, 6 are blue, and 10 are purple.
What is the probability of randomly selecting a blue card, then a purple card, without replacement?
Answer:
6/20 or in simplification, 3/10 would be the correct answer.
30% would also be correct :)
And 0.3
2,6,10,14 cuales son los siguientes tres términos
Answer:
Step-by-step explanation:
2, 6, 10, 14
Entonces, como puede ver, el patrón en la secuencia se suma por 4 como (+4)
(So, as you see that the pattern in the sequence is added by 4 )
2
2+4=6
6+4=10
10+4=14
Entonces, los próximos tres términos serán (Then, the next three terms will be)
14+4=18
18+4=22
22+4=26
Which one of these equations match the graph?
Answer:
C y = 2sin(1/3) x
Step-by-step explanation:
It's a sin function since y = 0 at x = 0
The amplitude is 2
There are 2 cycles in 12π
so the period is 6π
The x coefficent is then 2π/6π = 1/3
Answer
C y = 2sin(1/3) x