Answer:
x = -5 ±4sqrt(3)
Step-by-step explanation:
(x + 5)^2 = 48
Take the square root of each side
sqrt((x + 5)^2) = ±sqrt(48)
x+5 = ±sqrt(16*3)
x+5 = ±4sqrt(3)
Subtract 5 from each side
x = -5 ±4sqrt(3)
Evaluate the expression below
Step-by-step explanation:
6(4+8)
24+48
72 Answer
hope it helps
Answer:
6(x+8)
when the value of x we s equal to 4, then
6(4+8)
Now, by adding 4 and 8, we get
6(12)
6×12
Now, by multiplying 6 and 12, we get
72
Write 7,08 x 10" in standard notation
Answer:
70.8
Step-by-step explanation:
7.08×10 is 70.8
...............
How do you model a decimal using a fraction?
Answer:
The only reason I can’t type it right now it’s cause I’m doing something important so I’m so sorry if I hade to type this out but I’m a bit busy right now And I’m trying to answer as much questions as possible. Thank you
Step-by-step explanation:
Hope this helps you
Write down the decimal in fractions with the denominator 1.
We multiply the denominator and numerator by 10 for every number after the decimal point.
Simplify the fraction if needed.
I need some help with this. how many beats per minute?
The bottom row x axis) is seconds and goes to 6 seconds
Each peak is a heartbeat, there are 9 in the 6 seconds.
A minute is 60 seconds.
60 seconds / 6 seconds = 10
9 beats every 6 seconds x 10 = 90 beats per minute.
The heart rate is 90 beats per minute
i need a little help here, im struggling rnn
Answer:
-7, -11
Step-by-step explanation:just count down and up how many steps
One positive number is 5 more than twice another. If their product is 1827, find the numbers.
smaller number =
larger number =
9514 1404 393
Answer:
smaller: 29larger: 63Step-by-step explanation:
If we let x and y represent "one number" and "another", respectively, then the given relations are ...
x = 5 +2y
xy = 1827
Substituting for x gives a quadratic in y:
(5 +2y)(y) = 1827
2y^2 +5y -1827 = 0 . . . . . written in standard form
We can use the quadratic formula to find the positive value of y that satisfies this:
y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29
x = 5 +2(29) = 63 . . . . using the above expression for x
The smaller number is 29; the larger number is 63.
Solve w = 9x + 5 y for y
Answer:
w-9x/5=y
Step-by-step explanation:
w=9x+5y
subtract 9x from both sides
w-9x=5y
divide by 5y
w-9x/5=y
Emmet went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, he had collected 50 ounces of blueberries.
How many ounces of blueberries did Emmet pick each mile?
Write your answer as a proper fraction or mixed number.
Answer:
16 2/3 ounces
Step-by-step explanation:
Emmet collected 50 ounces of strawberries along a 3 mile walk, he collected 50/3 = 16 2/3 ounces of strawberries each mile
An airport shuttle runs between terminals every 4 minutes with a fixed capacity of passengers. 250 people were in line as of 9:00 am. After the 29th shuttle trip departed, 424 people were in line. If 6 people per minute got in line after 9:00 am, what is the passenger capacity of the shuttle?
Answer:
18
Step-by-step explanation:
424-250 = 174
174/29 = 6
This means every time the shuttle came to pick people up there would be 6 people they couldn't take. So if the shuttle takes 4 minutes to come back and 6 people were to get in line per minute there would be 24 extra people waiting. So 24-x = 6, x=18
I did this equation to see how many people would have to go into the shuttle to leave an extra 6 remaining people in line
5. Tristan wants to build a square garden in his backyard that will cover an area of 75 ft². If Tristan has 32 feet of material for the perimeter of the garden, does he have enough? Explain.
Lets find side
Area=75ft^2[tex]\\ \sf\longmapsto Area=(side)^2[/tex]
[tex]\\ \sf\longmapsto (side)^2=75[/tex]
[tex]\\ \sf\longmapsto side=8.3ft[/tex]
Perimeter
[tex]\\ \sf\longmapsto 4(side)[/tex]
[tex]\\ \sf\longmapsto 4(8.3)[/tex]
[tex]\\ \sf\longmapsto 33.2[/tex]
He has 1.2ft short materialLet A = {a, b, c, d}, B = {a, c, d, e}. Let f : A → R and g : B → R such that f = {(a, 1),(b, 2),(c, 2),(d, 4)} and g = {(a, 0),(c, 4),(d, 8),(e, 0)}. State the domain and find: f/g
Answers:
Domain = {c, d}f/g = { (c, 1/2), (d, 1/2) }============================================================
Explanation:
The domain of f: {a,b,c,d} which is drawn from set A.
The domain of g: {a,c,d,e} which is drawn from set B
So far, we can see the possible inputs are: a,b,c,d,e
Let's go through each lowercase letter of the given sets
If 'a' is plugged into f/g, then we'll have 0 in the denominator due to the ordered pair (a,0) in function g. This causes a division by zero error so the input 'a' is not allowed in the domain of f/g.If we tried b, then it would work for function f, but it doesn't work for function g. If we tried to compute g(b), then the result is undefined. This is because the lowercase b input is not found in set uppercase B which is where function g selects its inputs from. So b is eliminated.The input c does work however. f(c) = 2 because of the ordered pair (c,2) in the function f. Similarly, g(c) = 4. This means f/g = 2/4 = 1/2 when the input is c. This shows that c is a valid input in the domain of f/g.The input d is pretty much the same story as input c. Moreover, the input d leads to the same output as c does. This time we have f/g = 4/8 = 1/2 when the input is d. Therefore, d is another valid input in the domain of f/g.The input e is not valid because (e,0) will lead to a division by zero error, as it's part of the g(x) function. So we must eliminate 'e' as a valid option in the domain. Even if we didn't have a division by zero error, we still have the fact that 'e' is not in the domain of the first function f. This is another reason why f/g is not defined when the input is 'e'.To summarize, only inputs c and d are valid in the domain.
The domain is the set {c, d}
Both inputs in the domain lead to the output 1/2. This means the range of f/g is {1/2}. Despite having just one element inside, we must use curly braces to indicate we have a set.
The function f/g is { (c, 1/2), (d, 1/2) }
We simply list all of the (x,y) ordered pairs to describe the function. In this case, there are only two such pairs.
please help me solve that question
Answer:
i). 14/75 or 19%
ii). 2/25 or 8%
Step-by-step explanation:
i). Using the combinations formula if repetition is allowed
If n choose r,
(r+n-1)!/r!(n-1)!
Where n is the things we have to pick from and r is the objects we want. We want 2 objects and we have 24 objects to pick from.
So our equation will be
(2+24-1)!/2!(24-1)!
(25)!/2!(23)!,
This gives us 300. So there is 300 possible combinations.
Since we have two independent events, we can multiply two events and divide it by 300 to find the probability.
i) There is 14 good defects and 4 major defects so
[tex] \frac{14 \times 4}{300} = \frac{56}{300} = \frac{14}{75} [/tex]
So the probability is 14/75 or 19%
ii) We can do the same thing in question 1
There is 6 minor defects and 4 major so
[tex] \frac{6 \times 4}{300} = \frac{24}{300} = \frac{8}{100} = \frac{2}{25} [/tex]
So this means the probability is 8% or 2/25
Julie and Shawna ordered a pizza. Julie ate 3/8 of the pizza and Shawna ate 5/16 of the pizza. Who
ate more of the pizza? Justify your answer with work or an explanation.
How long will it take a car that is travelling with a speed of 45m/s to travel a
distance 500m?
Answer:
time=distance/speed
time=500/45
time=11.11 sec
Answer:
11 1/9 seconds = time
Step-by-step explanation:
We know that
Distance = rate * time
500 m = 45 m/s * time
Divide each side by 45
500/45 = time
11 1/9 seconds = time
A man spent 58% of his income and the amount left was GHC 210,000.00
find his income.
Answer:
Step-by-step explanation:
$211000 are 100% - 58% = 42% of the (former) income.
Therefore, 1% is 42 times less: 211000/42 = 5023.81,
and the (former) income was 100 times this value, i.e. GHC 502381.
Will give brainliest answer
Answer:
EquivalentNot equivalentEquivalentStep-by-step explanation:
For [tex]3^5^m[/tex]:
Just like [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex], [tex]3^5^m[/tex] equates to [tex]243^m[/tex].
For [tex]81^m[/tex]:
[tex]81^m[/tex] does not equate to [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex].
For [tex]9^{2.5m}[/tex]:
After applying the exponent rule to the equation, it came out to [tex]9^{2.5m}[/tex].
what is the range of the numbers 5,9,7,2,2
Answer:
7 is the answer hope this helps
The table below shows the price of rolls a bakeryA baker's dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker's dozen instead of 13 individual rolls? Please help
9514 1404 393
Answer:
(b) $0.60
Step-by-step explanation:
The cost is proportional to the number of rolls. It is $3.60/(6 rolls) = $0.60/roll. When you buy a Baker's Dozen, you save the cost of one roll: $0.60.
it's 0.60
have an nice nice nice nice day
Determine the rate the airplane
needs to travels to fly 2000 miles
in 5 hours
Answer:
the airplane needs to travel 400 mph to reach 2000 miles in 5 hours
What’s the coordinates pair
Answer:
(5, 35) and (25, 20)
Step-by-step explanation:
The question is saying that x = minutes spent watching videos and y = minutes spent playing video games. Gian has 45 minutes in total to spend. The equation for Gian spending y minutes playing video games if he spent x minutes watching videos would be 45 - x, since x minutes have been taken away from Gian's 45 minutes by watching videos.
Knowing this, if he spent 5 minutes watching videos (x) on Monday, that means he spent 40 minutes playing video games. So, the first coordinate point would go to (5, 40). On Tuesday, he spent 25 minutes watching videos, which would mean he spent 20 minutes playing video games. The second coordinate point would go to (25, 20).
The graph below represents the number of books Jaleel has read over the past x weeks.
Books Read
A graph with weeks on the x-axis and number of books on the y-axis. A line goes through points (0, 3), (1, 4), and (2, 5).
Which equation represents the graph?
y = x + 3
y = 3x
y = x – 3
y = one-third x
Answer:
y + x + 3
Step-by-step explanation:
each point adds an additional 3
B is your answer
HELP PLEASE!!!!
What is the slope of the line?
Answer: slope (m) = - 9/5
Step-by-step explanation:
Find two points = (-4,5) (1, -4)
The slope going uphill is positive and downhill is negative.
Slope m = (y-y)/(x-x)
(5- -4)/-4-1 = - 9/5
Also, start in one point go straight up or down counting, and then go left or right to the other point counting.
Simplify. 2–3 Write your answer in the form a+b.
Answer:
2 + -3
Step-by-step explanation:
2 - 3 in the form a + b is:
2 + -3
where a = 2
and b = -3
What’s 4,708.06 rounded to the nearest thousand?
Answer:
when rounding anything that is or is greater than 5 you round up 1.
4,->7<-08.06
so rounding up 1, 4 would turn into 5.
Define a variable and write an inequality for each problem. Then solve.
15. Nineteen more than a number is less than 42.
16. The difference of three times a number and 16 is at least 8.
17. One half of a number is more than 6 less than the same number.
18. Five less than the product of 6 and a number is no more than twice that same number.
Answer:
15) n+19<42
16) 3n-16 (less or equal) 8
17) n/2 > n-6
18) 6n-5<2n
Step-by-step explanation:
Daria needs to fill 4 gift baskets equally with bags of candy and boxes of cookies. She has 12 bags of candy and 8 boxes of cookies and wants to give all of them away.
Which expression should be used to determine the total number of bags of candy and boxes of cookies she will place in each basket?
A. (12 + 8) times 4
B. 12 + (8 divided by 4)
C. (12 divided by 4) + (8 divided by 4)
D. (12 + 8) divided by (8 + 12)
Answer:
C
Step-by-step explanation:
hope it helps!!!!!!!!
Rewrite the expression in the form b^n b^10÷b^6=
Answer:
[tex] {b}^{10} \div {b}^{6} = {b}^{4} \\ \\ \frac{ {b}^{10} }{ {b}^{6} } = b^{10 - 6} = {b}^{4} [/tex]
I hope I helped you^_^
Eunice buys dog bed with a listed price of $31. Eunice uses a sale that provides 30% off. What is the total
final price Eunice pays?
A. $21.70
B. $23.70
C. $25.55
D. $28.10
Answer:
21.70
Step-by-step explanation:
First find the discount
31 * 30%
31 *.30
9.3
Subtract from the original amount
31 - 9.3
21.70
ANSWER QUICK 75 POINTS!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: 3(2+9x)
Line 2: 3(9x+2)
Line 3: 27x+6
Line 1 to Line 2:__________
Line 2 to Line 3:__________
Answer:
Line 1 to Line 2:Commutative property of addition
Line 2 to Line 3:Distributive property
Step-by-step explanation:
Line 1: 3(2+9x) Given
Line 2: 3(9x+2) Commutative property of addition
Line 3: 27x+6 Distributive property
Answer:
Line 1-Line 2=Commutative property
Line 2-LIne 3=Distributive property
Step-by-step explanation:
Lets solve
[tex]\\ \rm\longmapsto 3(2+9x)[/tex]
Commutative Property[tex]\\ \rm\longmapsto 3(9x+2)[/tex]
Distributive property[tex]\\ \rm\longmapsto 27x+6[/tex]
2ja bag has 3 red and 6 green balls. Two
balls are drawn from the bag one after the
other without replacement. What's the
probability of having a green ball drawn
both times
Answer:
5/12
Step-by-step explanation:
Probability of drawing green ball on the first time=6/9=2/3
Probability of drawing green ball on the second time=5/8
Probability of having a green ball drawn
both times=(2/3)*(5/8)=10/24=5/12