Answer:
x = 6
Step-by-step explanation:
8(2x – 14) + 13 = 4x – 27
Lets go in the order of PEMDAS (Parantheses, Exponents, Multiplication, Division, Addition, Subtraction)
First, distribute 8.
8(2x – 14)
[tex]8*2x=16[/tex]
[tex]8*-14=-112[/tex]
So now our equation is:
16x – 112 + 13 = 4x – 27
Now we can add. We will add 13 to -112.
[tex]-112 +13=-99[/tex]
Now our equation looks like this:
16x – 99 = 4x – 27
Now we have to try to get the variable (x) on one side of the equation.
To do this, we will subtract 4x from both sides of the equation.
16x – 99 = 4x – 27
-4x -4x
12x - 99 = -27
Now we can add 99 to -27.
[tex]99 + (-27) = 72[/tex]
Now we have
12x = 72
Our last step is to divide both sides by 12:
[tex]\frac{12x}{12}= \frac{72}{12}[/tex]
We get x = 6.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Answer:
Step-by-step explanation:
A.
8(2x – 14) + 13 = 4x – 27
Step 1: Distribute 8, meaning multiply 2x and -4 using 8
8(2x – 14)
8(2x) + 8(-14)
16x - 112
New equation:
16x - 112 + 13 = 4x – 27
Step 2: Add any numbers or like terms:
16x - 112 + 13 = 4x – 27
16x - 109 = 4x - 27
New equation:
16x - 99 = 4x - 27
Step 3: Isolate the variable on one side
16x - 99 = 4x - 27
-4x -4x
12x - 99 = - 27
+ 99 + 99
12x = 72
Step 4: Divide both sides by 12
12x = 72
/12 /12
x = 6
B.
Check your answer:
8(2x – 14) + 13 = 4x – 27
8(2(6) - 14) + 13 = 4(6) - 27
8(12 - 14) + 13 = 4(6) - 27
8(-2) + 13 = 24 - 27
-16 + 13 = 24 - 27
-3 = -3
This statement is correct
Therefore, our answer (x = 6) is correct.
Hope this helps!
-5 1/2+6 3/4+(-4 1/4)=
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
that the answer
calculate them
fasttt please 6,132 ÷ 10³ =
Answer:
6.132
Step-by-step explanation:
please mark me the brainiest
Write a sentence to represent the solution set in the context of the problem.
___________________________________________________________
920 = 560 + 60(x) He has to make at least 6 sales to get $920
Answer:
6 sales
Step-by-step explanation:
(I MADE THIS QUESTION I DIDINT KNOW IF YOU NEEDED IT)
Jake wants to but the new computer(it costs $920). Jake has $560 saved in his bank. Jake also gets $60 whenever he makes a sale at his job. How many sale(s) at his job does Jake need to make? Answer -- Jake needs to make 6 sales of $60 to buy the new computer.
MATH -----
$6 x $60 = $360
$360 + $560 = $920
A town has a population of 141,300 and grows at a rate of 5% every year. Which equation represents the town’s population after 6 years?
Answer:
P=141,300(1+0.05)^6
Step-by-step explanation:
r = rate = 5/100 = 0.05
a = starting amount = 141,300
t = time = 6 years
% growth formula:
a(1+r)^t
141,300(1.05)^6
Answer:
P=141,300(1+0.05)^6
Step-by-step explanation:
r = rate = 5/100 = 0.05
a = starting amount = 141,300
t = time = 6 years
% growth formula:
a(1+r)^t
141,300(1.05)^6
a) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function of g(x).)
table:
x: 4, 5, 6, 7, 8, 9, 10
F(x): -8, -4, 8, 10, 11, 14 ,18
b) Find the average rate of change of g(x) over the interval from x = 0.25 to x= 1. (Write answer as a simplified fraction. Show work)
c) if g(x) represents the height of a ball that was throw. up into the air, interpret your answer from part b) in terms of the real-world it represents.
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A
The average rate of change of a function over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex], hence:
[tex]\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}[/tex]
Therefore, the average rate of change of [tex]f(x)[/tex] over the interval [tex][5,9][/tex] is [tex]\frac{9}{2}[/tex].
Part B
Do the same thing as in Part A:
[tex]\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4[/tex]
Therefore, the average rate of change of [tex]g(x)[/tex] over the interval [tex][0.25,1][/tex] is [tex]-4[/tex].
Part C
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
The average rates of change are:
a) 4.5b) -4c) It means that in the interval, for each second that passes the height decreases by 4ft.How to get the average rate of change?
For a function f(x), the average rate of change on the interval [a, b] is:
[tex]r = \frac{f(b) - f(a)}{b -a}[/tex]
a) Here we have:
[tex]r = \frac{F(9) - F(5)}{9 - 5} = \frac{14 - (-4)}{4} = 4.5[/tex]
b) Now we look at g(x) on the interval [0.25, 1]
Notice that g(0.25) = 5 and g(1) = 2
Then we have:
[tex]r = \frac{2 - 5}{1 - 0.25} = -4[/tex]
c) That average rate of change means that, in average, in that interval in each second the height decreases by 4 ft.
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Which statement is true about the distribution
Answer:
The range is the best measure of variability because the distribution has an outlier.
Either the IQR or the range are good measures of variability because the distribution has no outliers.
The IQR is the best measure of variability because the distribution has an outlier.
Step-by-step explanation:
is this what you was looking for
The area of a rectangle is 108 square meters. The width is 9 meters. What is
the length?
Answer:
L= 12
Step-by-step explanation:
area= L×B
108= 9×L
108= 9L
Divide both sides by 9
108/9= 9L/9
L= 12
The radius of a quarter circle is 3 what is the quarter circle's perimeter?
Answer:
21.42
Step-by-step explanation:
Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42
I need help with Function Operations
Answer: 189
All Steps and Information Found in Image.
Hope This Helped!
PLEASE HELP ASAP Here is the question afterward:
17 (1/5) × 17,5 = 301
,..,.
NO LINKS PLEASE
I NEED THEM TODAY
NO LINKS!!!
Answer:
13. True, False, True
14. False, True, True
15. All true
What is the square root of 81
Answer: 9
Step-by-step explanation:
9*9 = 81
Answer:
9
Step-by-step explanation:
9*9=81
What is the length of the rectangular plot of land shown? Use pencil and paper. How are the lengths of the legs of a right triangle related to the lengths of the sides of a rectangle?
The length of the rectangular plot of land is ___ ft?
Answer:256960ft
Step-by-step explanation: LENGTHXWIDTH . So you would want to multiply 440x584 and that is 256960 So it is 256960ft I think.
Answer:
297 ft
Step-by-step explanation:
Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
If cat and dog start running away from each other how far away from each other will they be after 30 minutes?
The distance they(Bobby's cat and dog) will be from each other after 30 minutes is 0.5x miles.
Calculation of distanceThe dog runs twice as fast as the cat. Therefore,
Bobby's cat speed = x
Bobby's dog speed = 2x
Therefore,
speed = distance / time
30 minutes = 0.5 hours
Therefore,
distance = speed × time
distance covered by the cat = x × 0.5 = 0.5x
distance covered by the dog = 2x × 0.5 = x
Therefore, the distance they will be from each other after 30 minutes is as follows:
distance = x - 0.5x = 0.5x
learn more on distance here: https://brainly.com/question/18398194
What is the volume of a hemisphere with a radius of 3.6cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
V(sphere) =
[tex] \frac{4 }{3} \pi \:{r}^{3} = 195.43 \\ [/tex]
V(hemisphere) = V(sphere)/2 = 97.715 = 97.7
just look at the picture.....
Answer:
is equal to 925 i think cuz
Step-by-step explanation:
summation of arithmetic sequence
n=1 , 3n-2=3-2=1 , a=1, d=3.
sn=n+3n(n-1)
-------------
2
a=1 ,d=3 sn= n+3n(n-1)
------------
2
S25=25+3×25(25-1)
--------------
2
25+900=925
so the answer will be 925
A coffee shop offers small, medium, and large sizes. Customers can choose
between French roast and Italian roast.
Answer:
6
Step-by-step explanation:
small with french roast or italian roast =2
medium with french roast or italian roast =2
large with french roast or italian roast =2
All of them combined =6 possible out comes
There are few differences in Florida plants as fall arrives. What differences might you see in the seeds of Florida plants?
A The seeds are dormant.
B The seeds are being produced.
C The seeds are ready for harvest.
D The seeds are starting to germinate.
In Florida, one difference in plants is that as fall arrives seeds are ready to be harvested.
What is fall?Fall is one of the four seasons that exists in most countries including the United States. During this season, temperatures drop, and days become shorter.
How does this season affect Florida plants and seeds?In most plants, the beginning of the fall implies the beginning of the harvesting season. This means that during this season seeds are ready to be collected or harvested.
Learn more abour seeds in: https://brainly.com/question/15976369
Answer:it answer is harvested
Step-by-step explanation:
2 If a hockey team loses 33% of the games they play, what is the probability that this team will win exactly 10 games out of their next 15?
a. 0.6%
b. 21.4%
c. 19.8%
d. 11.1%
So
P(A)=0.33P(A')=0.67Now
They win from 15games=10They lose=5The required probability
[tex]\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}[/tex]
[tex]\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}[/tex]
[tex]\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}[/tex]
[tex]\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}[/tex]
[tex]\\ \rm\rightarrowtail 0.00007098(3003)[/tex]
[tex]\\ \rm\rightarrowtail 0.213[/tex]
So probability
0.213(100)=21.3%Option B
Answer:
b. 21.4 % (nearest tenth)
Step-by-step explanation:
P(lose) = 33% = 0.33
P(win) = 1 - 0.33 = 0.67
Using binomial distribution X ~ B(n, p)
where n is the number of trials and p is the probability of success
⇒ X ~ B(15, 0.67)
Binomial probability formula:
[tex]\sf P(X=x)= \ _nC_x\cdot p^x \cdot(1-p)^{n-x}[/tex]
[tex]\sf \implies P(X=10)=15C10\cdot 0.67^{10} \cdot(1-0.67)^{15-10}[/tex]
[tex]\sf =3003 \cdot 0.67^{10} \cdot 0.33^5[/tex]
[tex]\sf =0.214226434...[/tex]
Converting to percentage:
0.214266434... x 100% = 21.4 % (nearest tenth)
three boxes under my stairs contain apples or pears are both each box contains the same number of pieces of fruit the first box contains all 12 of the apples and 1 /9th of the pears how much of the fruit are there in each box
There are 16 fruits in each of the boxes found under the stairs.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of pears, hence:
Number of fruit in first box = 12 + (1/9)x
Number of fruit in second box = number of fruit in third box = (8/9)x ÷ 2 = (4/9)x
Therefore:
12 + (1/9)x = (4/9)x
x = 36
First box = second box = third box = (4/9) * 36 = 16
There are 16 fruits in each of the boxes found under the stairs.
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NEED HELP ASAP!!!!!!
Which expression has a sum of one and eight thirtieths?
-three sixths + three fifths
-four sixths + three fifths
-four sixths + four fifths
-five sixths + one fifth
Answer:
four sixths + three fifths.
Step-by-step explanation:
1 8/30 = 38/30.
4/6 + 3/5
= 20/30 + 18/30 = 38/30.
Why Did the Piano Player Bang Her
Head Against the Keyboard?
I didn’t see any online so… please help
The circumference of a circle that was computed when the diameter is 3cm will be 9.426cm.
How to find the circumference?The circumference of a circle of gotten by the formula:
C = 2πr or πd
where,
r = radius
d = diameter
Since the diameter is given as 3cm, the circumference will be:
= πd
= 3.142 × 3
= 9.426cm
In conclusion, the circumference of the circle is 9.426cm.
Learn more about circle on:
https://brainly.com/question/25938130
Answer:
Step-by-step explanation:
Answer: She.Was.Playing.By.Ear
evaluate 6+4/a + b/3 when a=4 and b=3
Answer: 31/4 or 7.75
Step-by-step explanation:
This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?
yes or no
Answer: yes its a 3:1 ratio
3 cups of strawberries
per 1 cup of mango
Step-by-step explanation:
so the best way i can try to explain it is this...
1 2 they both need a
_ x _ common denominator so
3 6 you need to multiply the smaller one to equal
the bottom number of the other one
oorr divide the big number on the bottom to equal
the smaller number on the bottom of the left
equation.
soooo 2 times (1:3) equals (2:6)
or divide by 2 to (2:6) to equal the denominator of 3 (same as smaller)
A bag contains 3 red marbles and 4 blue marbles.
A marble is taken at random from the bag and replaced.
Another marble is taken from the bag.
Work out the probability that the 2 marbles taken from the bag are the same colour.
Give your answer as a fraction.
Answer:
Total number of marbles in the bag is 3 + 4 = 7.
The problem asks for the probability of (RR) or (BB).
It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from
Since each draw is independent, we take the product of each event for the total event probability.
P(RR) = 3/7 * 3/7 = 9/49
P(BB) = 4/7 * 4/7 = 16/49
We want to know P(RR) + P(BB)
P(RR) + P(BB) = 9/49 + 16/49 = 25/49
What is the value of 5 + 3x when x = 4?
Answer:
5 + 3(4)
5+ 12
17
Step-by-step explanation:
brainlyist plssssssssss
Answer:
17
Step-by-step explanation:
5 + (3 x 4)
5 + (12)
17
You're multiplying 3 by 4 because x = 4. When a variable is on top of a number, you will multiply it. Almost like saying 3(4).
I hope this helped!
What is the smallest number greater than 1 that is both triangular and square
Answer:
36
Step-by-step explanation:
triangular numbers are
1, 3, 6, 10, 15, 21, 28, 36, .....
square numbers are
1, 4, 9, 16, 25, 36, ..........
the smallest number that is triangular and square is 36
Solve for A
HELP ASAP!!
Answer: ∠A=144°
Step-by-step explanation:
∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.
10x+24=6x+72 [subtract both sides by 6x]
4x+24=72 [subtract both sides by 24]
4x=48 [divide both sides by 4]
x=12
Now that we found x, we need to plug it into ∠A.
10(12)+24=120+24=144
We know that ∠A=144°.
4. Which expression is equivalent
to 5(a + a + b)
a. 15ab
b. 10a + b
c. 5a +5b
d. 10a + 5b
PLEASE HELP
Answer:
d. 10a + 5bStep-by-step explanation:
5(a + a + b) = 5(2a + b)
use the distributive property:
a(b + c) = ab + ac
= 5 · 2a + 5 · b =10a + 5b
Answer:
[tex]\boxed{\sf{D. \quad 10a+5b}}[/tex]
Step-by-step explanation:
Use a distributive property.
Distributive property:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
⇒ 5(a+a+b)⇒ a+a=2a
Rewrite the problem down.
[tex]\Longrightarrow: \sf{5(2a+b)}[/tex]
Multiply should be expanded.
⇒ 5*2a=10a
⇒ 5*b=5b
Rewrite the problem.
⇒ = 10a+5b
Therefore, the final answer is 10a+5b.I hope this helps you! Let me know if my answer is wrong or not.
use the distributive property to rewrite the expression 6(10+n)=
Answer:
60 + 6n
Step-by-step explanation:
Distribute 6 to both terms:
6 * 10 is 60
6 * n is 6n
Both total are 60 + 6n
Hey there!
6(10 + n)
= 6(10 + 1n)
DISTRIBUTE 6 WITHIN the PARENTHESES
= 6(10) + 6(1n)
= 60 + 6n
= 6n + 60
Therefore, your answer is: 6n + 60
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)