Step-by-step explanation:
step 1: simplify both sides of the equation.
7x+8(x+
1
4
)=3(6x−9)−8
7x+(8)(x)+(8)(
1
4
)=(3)(6x)+(3)(−9)+−8(distribute)
7x+8x+2=18x+−27+−8
(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)
15x+2=18x+−35
15x+2=18x−35
tep 2: subtract 18x from both sides.
15x+2−18x=18x−35−18x
−3x+2=−35
step 3: subtract 2 from both sides.
−3x+2−2=−35−2
−3x=−37
step 4: divide both sides by -3.
−3x
−3
=
−37
−3
x=
37
3
Answer:
what the
Step-by-step explanation:
Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts
A boat is traveling at a constant speed. In 2 hours, the boat travels 180 miles. How many hours will it
take the boat to travel 225 miles?
Answer:
2 1/2 hours
Step-by-step explanation:
For 1 hour, it would travel 90 miles.
For half of 90 which is 45 it would travel 1/2 hr.
225-180 is 45 miles, which is another half hr.
2 hrs plus 1/2 hr is 2 1/2 hours.
3/2 x 4/3 x 5/4… x 2006/2005
Answer:
1003
Step-by-step explanation:
The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.
The simplest form of a telescoping product[tex]a_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}[/tex], in which the products of n terms is
[tex]a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}.[/tex].
In this particular case, [tex]t_{1} \ = \ 2[/tex] , [tex]t_{2} \ = \ 3[/tex], [tex]t_{3} \ = \ 4[/tex], ..... , in which each term follows a recursive formula of [tex]t_{n+1} \ = \ t_{n} \ + \ 1[/tex]. Therefore,
[tex]\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003[/tex]
Help
Geometry 1
Find z
Answer:
8
Step-by-step explanation:
The triangles are the same, except one is dilated.
So the hypotenuse of one is 5, and the other is 10. The triangle is dilated to double the other's size. so 4*2 = 8
I have no idea what i just wrote, but the answer is correct.
three less than a number is -18
Answer:
-15
Step-by-step explanation:
work in reverse
-18 is three less than something
that means that something is 3 more than -18
so
add 3 to -18
-18+3= -15
One month Chris rented 7 movies and 9 video games for a total of $71. The next month he rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.
Is the point (-2,5) a solution to the inequality y is greater than or equal to 5x+ 7
Answer:
Yes, it is a possible solution for Y >/= 5x+7
Step-by-step explanation:
You plug in the values (x,y) ie (-2,5):
5(-2)+7=-3
-3<5 so -3 is less than 5.
Thus, Y is greater than 5x+7 at (-2,5).
7/10 of guest were over 25 what is the percentage
Find the inverse of the matrix A=
[4 -5]
[-7 9]
Answer:
hope this answer is right 71/45
The perimeter of a rectangle is 18.6 km, and its area is 14.6 km“.
Find its length and width.
Answer:
2 and 7.3
Step-by-step explanation:
[tex]P=2x+2y=18.6[/tex]
[tex]2x=18.6-2y\\x=9.3-y[/tex]
We'll replace x with (9.3-y)
[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]
Now we solve this equation by sum and product:
[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]
Replacing back in the Perimeter equation:
[tex]2x+2y=18.6[/tex]
if y=7.3
[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]
if y=2
[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]
So, the dimensions are 2 and 7.3 km
a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of first is Rs.400 in how many installment will entire amount be paid ? give reason
Answer:
15 installments
Step-by-step explanation:
3900 = Σ [tex]\left \ {{x=n} \atop {x=1}} \right.[/tex] 400 - 20*(n - 1)
Suppose log7(10) = a and log7( 5) = b. Use the change-of-base formula along with properties of
logarithms to rewrite each expression in terms of a and b.
Step-by-step explanation:
log 10/log7=a
log10=alog7
log10=log7^a
10=7^a
log 5/log7=b
log5=blog7
log5=log7^b
5=7^b
Choose yes or no to tell whether each expression is equivalent to -4/3p-2/5
A. -2/5-4/3p
B.2/5-4/3p
C.-2/5-4/3p
D.-4/3p+(-2/5)
At the airport, each piece of luggage to be checked in must not weigh more than 50
pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
Answer:
w [tex]\leq[/tex] 50
Step-by-step explanation:
What fraction is equivalent to 4/3?
Which equation best matches the graph shown below?
Answer:
B
Step-by-step explanation:
because it is actually move to right
Answer:
y= -3(x+1)(x+3)
Step-by-step explanation:
the lowest coordinate of it is -3 and the x-coordinates are 1 and 3
Can someone please explain step by step on how I subtract fractions like for an a example!
7/8 - 3/8 ?
Keep the denominators the same and subtract the numerators. So for example in your example:
7/8 - 3/8
Leave the 8 alone. Subtract 3 from 7.
7 - 3 = 4
So answer is:
4/8
Sometimes they may have to simplify the answer, and in this case, 4/8 could be simplified to 1/2
Use the function below to find f(-2).
f(x) = 5x
O A. -25
O B. 1/10
O c. 1/25
O D. -10
Answer: is c. 1/25
the question is a year old but thought i'd help out and answer it since i just took the test on a.pex and the only other answer to the question is wrong
The value of the function f(2) is -10.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find f(-2), we need to substitute -2 for x in the function f(x) = 5x:
So,
f(-2) = 5(-2) = -10
Therefore,
The value of the function f(2) is -10.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
What is the vertex of the absolute value function below?
(will give brainliest)!!!
(–3, –2)
(–3, 2)
(2, –3)
(2, 3)
Answer:
(-3,2)
Step-by-step explanation:
Go where the two coordinates match, you'll see that it's (-3,2).
I see that that's Edge2021, I know how that feels. :/
Hope this helped! :)
Answer:
(-3, 2)
Step-by-step explanation:
Please help for brainliest!!:)
Answer:
d)
Step-by-step explanation:
we know, that i = sqrt(-1)
so, i² = -1
i³ = -i
i⁴ = -i × i = - -1 = 1
i⁵ = i⁴×I = 1×i = i
and the cycle begins again for any higher exponents.
so, we find out what i^n is, by dividing n by 4 and look at the remainder.
remainder = 0, i^n = 1
remainder = 1, i^n = i
remainder = 2, i^n = -1
remainder = 3, i^n = -i
so, what is 139 in this regard ?
139 ÷ 4 = 34
remainder 3
so, i¹³⁹ = -i
a) 322 ÷ 4 = 80
remainder 2. not equivalent.
b) 304 ÷ 4 = 76
remainder 0. not equivalent.
c) 221 ÷ 4 = 55
remainder 1. not equivalent.
d) 239 ÷ 4 = 59
remainder 3. this IS equivalent.
HELLLPPPPPPP! PLZZZZ DUE TODAYYYY!
Answer:
it is the first one
Step-by-step explanation:
Write the inequality
The inequalities which the number lines represent are as follows;
x > 3x <= 2.While writing inequalities represented on a number line;
We must observe the direction of the line; and also observe the shading on the starting point of the line.
In case 1:
The set of x values are represented as greater than 3; Therefore, the inequality is; x > 3In case 2:
The set of value are represented as less or equal to 2;Therefore, the inequality is; x <= 2The number line to represent the street sign is as in the attached image;
Read more on number line and inequalities:
https://brainly.com/question/1478009
Kelly is nine years older than her sister. Kelly's age is one more than twice her sisters age. What is Kelly's age?
Answer:
17 years old
I hope this helps
I think it might be right
sorry if it is wrong
Which sequence follows the pattern add 5, subtract 3?
A. 5,3,5,3,5,3,5
B. 6,3,8,5,10,7
C. 0,5,8,13,16,21,24
D. 12,8,6,4,20
An urn contains three red balls and four blue balls. Draw two balls at random from the urn, without replacement. Compute the expected number of red balls in your sample. (Round your answer to four decimal places.)
Step-by-step explanation:
in total we have 3+4 = 7 balls.
when we draw the first ball, the probability to draw a red ball is 3/7, and a blue ball 4/7.
when we draw the second ball, we have now only 6 balls in total.
the probabilty to draw a red back now depends also on the result of the first draw.
if the first ball was already red, then we have only a chance now of 2 out of 6.
if the first ball was blue, then we have now a chance of 3 out of 6.
so, the probably to draw at least 1 red ball in 2 draws is the probability of drawing one on the first draw plus the probability of drawing one on the second :
1 - probability to see 2 blue balls
1 - 4/7 × 3/6 = 1 - 12/42 = 30/42 = 0.714285714...
the expected number of red balls in 2 draws is
1 red in first red in first red in second
but not second and second but not first
1×(3/7 × 4/6) + 2×(3/7 × 2/6) + 1×(4/7 × 3/6) = 12/42 + 12/42 + 12/42 = 36/42 = 6/7 = 0.857142857 ≈ 0.8571
If you had a choice between playing golf or going to the movies and you chose to go to the movies, what is the opportunity cost of your decision.
The potential gain that could have come with golfing
Step-by-step explanation:
Opportunity cost is the loss of something you could have gotten from the choice you didn't go with. so I'm this case, the opportunity cost of chosing the movies is what you missed out on by not going golfing.
A population numbers 18,000 organisms initially and grows by 16% each year.
Answer:
The answer is 20,880
Step-by-step explanation:
This won't be a very long explanation. What I did was add 18,000 plus 16% and I got 20,880.
Hope this helps!
Have a nice day/night/afternoon.
(Can you mark me brainliest?)
- ❤ 7272033Alt ❤
In a school of 500 students, 30% had I-Phones. The percent of boys to gi
were 25% and 75% respectively.
A. Calculate (I) the number of students with I-PhonesIn a school of 500 students, 30% had I-Phones. The percent of boys to gi
vere 25% and 75% respectively.
Answer:
tbh,I would calculate the girls to boys ratio.
Step-by-step explanation:
I mean, them boys gotta be in female heaven.
25% of them, the rest being girls, dang, imagine being handsome. lots of gf's
and FYI, it's iPhone not an i-phone.
Johnny has a box filled with 10 black marbles and 5 purple marbles.What are the odd he pulls two purple marbles in a row without replacemnet
Answer:
2/21
Step-by-step explanation:
The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.
2/7>b+5/7 solve the inequality
[tex]\dfrac 27 >b +\dfrac 57\\\\\implies 2 > 7b +5~~~;[ \text{Multiplying both sides by 7}]\\\\\implies 2-5>7b\\\\\implies -3>7b\\\\\implies -\dfrac 37 >b\\\\\implies b<-\dfrac 37\\\\\\\text{Interval,}~ \left(-\infty, -\dfrac 37 \right)[/tex]