Select the correct answer.
Which statement is true about this equation?
3(-y + 7) = 3(y + 5) + 6
A.
The equation has one solution, y = 0.
B.
The equation has one solution, y = -1.
C.
The equation has no solution.
D.
The equation has infinitely many solutions.
Answer:
one answer ( y=0 )
Step-by-step explanation:
solve for y
-3y + 21 = 3y + 15 + 6
-3y +21 = 3y +21
(-6y = 0)/-6
y=0
Answer:
A. The equation has one solution, y = 0.
Explanation:
3(-y + 7) = 3(y + 5) + 6
-3y + 21 = 3y + 15 + 6
-3y -3y = 21 - 21
-6y = 0
y = 0
PLEASE HELP FILL IN LAST TWO BLANKS!!! Suppose the time it takes Lizzie to eat an apple is uniformly distributed between 5 and 10 minutes. Let X = the time, in minutes, it takes Lizzie to eat an apple.
SHOW WORK SO I UNDERSTAND
Answer:
c. 18%
e. 46%
Step-by-step explanation:
c. Since the time given is 5.9, it is easiest to just calculate for every 0.1 second. So, there are 50 0.1 seconds in 5 seconds. If you divide 100/50 you get 2. So that is your percentage for each 0.1 seconds. It says less than 5.9 so theres 10 0.1 seconds. If you multiply 9x2 you get 18%.
e. based on 2% for every 0.1 seconds, there are 5 0.1 seconds between 5 and 5.5 and 18 0.1 seconds between 7.2 ad 10. 23x2= 46%
I would like to note that this question is incorrectly asked as it says less than which means the time given wouldnt count. It would have made much more sense to say 5.9 minutes or less.
Im pretty sure this is the right answer but it could be c. 20% and e. 50%
Hope this helps!
Suppose the time it takes Lizzie to eat an apple is uniformly distributed:
a. The distribution of X, is Uniform with X ~ U(5, 10).b. The probability is 0.c. The probability is approximately 0.18.d. The probability is approximately 0.34.e. The probability is approximately 0.46.How to find probability?a. The distribution of X is Uniform, denoted as X ~ U(5, 10).
b. To find the probability that it takes Lizzie more than 11 minutes to finish the next apple, find the area of the distribution curve to the right of 11. Since the distribution is uniform, the probability is the ratio of the length of the interval [11, 10] to the total length of the interval [5, 10].
Probability (X > 11) = (10 - 11) / (10 - 5) = -1 / 5 = 0 (rounded to 4 decimal places)
c. Probability (X < 5.9) = (5.9 - 5) / (10 - 5) = 0.18
d. Probability (5.5 < X < 7.2) = (7.2 - 5.5) / (10 - 5) = 0.34
e. To find the probability that it takes Lizzie fewer than 5.5 minutes or more than 7.2 minutes to finish the next apple, find the sum of the probabilities of these two disjoint events:
Probability (X < 5.5 or X > 7.2) = Probability (X < 5.5) + Probability (X > 7.2)
= (5.5 - 5) / (10 - 5) + (10 - 7.2) / (10 - 5)
= 0.1 + 0.36
= 0.46
Find out more on probability here: https://brainly.com/question/30390037
#SPJ3
Enter the expression 7 x 2 − 7 x − 10
Answer:
7x - 10 is the simplify of the expression
If you was asking about the simplify of the expression it is 7x - 10
Solve the following inequality.
3m + 2 < 5 OR m71 > 4
+
2
m < [?] OR m >
m> [ ]
Enter
Answer: m < 1 or m > 7
The correct answer is m < 1 or m > 7.
Step-by-step explanation:
Hope this helps =)
Determine the hcf and Lcf of 1820 and 3510
Answer:
To get the Least Common Multiple (LCM) of 1820 and 3510 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:
1820: 2 2 5 7 13
3510: 2 3 3 3 5 13
LCM: 2 2 3 3 3 5 7 13
The Least Common Multiple (LCM) is: 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 = 49140
so how do you know if D IS WONG!!!!
Answer:
What are you referring to?
Step-by-step explanation:
The radius of a circle is 1 meter. What is the area?
r=1 m
Give the exact answer in simplest form.
Answer:
A≈3.14m²
Step-by-step explanation:
Answer:
Area of Circle =
\begin{gathered}\pi {r}^{2} \\ = \pi( {1}^{2} ) \\ = 1\pi \\ = \pi {m}^{2} \end{gathered}
πr
2
=π(1
2
)
=1π
=πm
2
Ivy has 4 blue marbles, 2 red marbles, and 3 green marbles. If Ivy randomly chooses 2 marbles without replacement, what is the probability that both are green?
Please help fast
Answer:
1/12
Step-by-step explanation:
Since these are dependent events, the fractions will vary on the second trial.
First trial 3 green marbles out of a total of 9 marbles. That's a 3/9 chances of the marble being green.
Second trial if you already pulled out a green. 2 green marbles are left with 6 other colors. That makes it a 2/8 odds.
Multiply the fractions and you get 6/72, which simplifies to 1/12.
Answer:
3/9
Step-by-step explanation:
Simply add up the marbles the total being 9 and the 3 green marbles.
(1 point) Find the value of the constant c that makes the following function continuous on (-∞,∞).
Answer:
8/3
Step-by-step explanation:
To make this function be continuous, we need to make the one-sided limits of the function at x=3 equal.
this means that 3c+8=9c-8
8=6c-8
16=6c
c=16/6 = 8/3
The value of constant c that makes the given function continuous at (-∞ , ∞) is 6.
What do you mean by continuity of a function ?
Continuity of a function meant all the points in the given interval satisfy the function.
We know that the conditions for which a function is continuous at b = x is :
a) f(x) exists
b) [tex]\lim_{ b\to x}[/tex] or f(b) exists.
c) [tex]\lim_{b \to x}[/tex] f(b) = f(x)
We know that for any value of c , for b ∈ ( - ∞ , 3] the function is continuous and for b ∈ ( 3 , ∞) the function is continuous. So , for any value of c, the first two conditions are satisfied.
Now we need to check for the continuity of the function at b = 3.
or
[tex]\lim_{b \to 2}[/tex] f(b) = c × 3 + 8
or
[tex]\lim_{b \to 2}[/tex] f(b) = 3c + 8
Now , check for the continuity of the function for other interval at b = 3.
[tex]\lim_{b \to 2}[/tex] f(b) = c × 9 - 8
or
[tex]\lim_{b \to 2}[/tex] f(b) = 9c - 8
To be continuous both values should be equal.
i.e.,
3c + 8 = 9c - 8
The value of constant c will be :
6c = 18
or
c = 6
Therefore , the value of constant c that makes the given function continuous at (-∞ , ∞) is 6.
Learn more about continuity of a function here :
https://brainly.com/question/27896299
#SPJ2
A recipe of beef stew serves 2 people and calls for 0.75 pounds of carrots. How many pounds of carrots would you need to serve 10 people in the restaurant? Explain how you found your answer.
Answer:
3.75 pounds of carrots
Step-by-step explanation:
Multiply 0.75 by 5 and get 3.75
Answer:
3.75 lbs of carrots
Step-by-step explanation:
10/2=5
.75*5=3.75
You basically just need to multiply your serving by 5
A number decreased by the sum of the number and eight.
What is the algebraic expression?
(Do not simplify)
The answer is: " x – (x + 8) " .
{Note: The simplified form is: " -8 ."}.
_______
Step-by-step explanation:
We are given:
→ " A number decreased by the sum of the number and eight."
_______
Let "x" represent the number referred to as "a number."
_______
"{A number} decreased by {the sum of the (number and eight).}" ;
↑ ↑ ↑
"x" "(minus)" " (x + 8) " ;
_______
So; we can write this as:
_______
→ " x – (x + 8) " ;
_______
Edit—Addendum:
{Now, if are then asked to simply this expression}:
→ " x – (x + 8) " ;
_______
Then: Rewrite as:
→ " x – 1(x + 8) " ;
_______
Take note of the distributive property of multiplication:
→ " a(b + c) = ab + ac " ;
_______
Likewise:
→ " x – 1(x + 8) " ;
→ Note the: " -1(x + 8) ";
_______
→ -1(x + 8) = (-1*x) + (-1*8) ;
= (-1x) + (-8) ;
= (-1x – 8) ;
Now, bring down the " ⁺x " :
→ " x – 1x – 8 " ;
Rewrite as:
→ " 1x – 1x – 8 " ;
Simplify:
→ " 1x – 1x – 8 " ;
= " (1x – 1x) – 8 " ;
= " (0 – 8) " ;
= " -8 " ; which is the simplified form of the
given algebraic expression.
_______
Hope this explanation is helpful to you!
________
Hi!
I can help you with joy! :)
First of all, "the sum of" means we add.
Let the number be r.
So, we add r and 8:
r+8
Now, "decreased" means we subtract, so we subtract
r-(r+8) (Final Answer)
Simplified Form:
r-(r+8)
r-r+8
[tex]\fbox{8}\checkmark[/tex]
Hope it helps!
Enjoy your day!
Feel free to ask if you have any doubts.
~Misty~
In how many ways can first, second, and third prizes be awarded in a contest with 600 contestants?
Answer:
214,921,200 ways
Step-by-step explanation:
[tex]first \: price \: to \: one \: of \: the \: 600 \: \\ participant \\ so \: 600 \: choices \\ 2nd \: 599 \: choices \\ 3rd \: 598 \: choices \\ simplify \: 600 \times 599 \times 598 = \\ = 214,921,200[/tex]
Answer:
214,921,200 ways
Step-by-step explanation:
First = 600
Second = 599
Third = 598
Hence,
600 × 599 × 598
359400 × 598
214,921,200
Hence, in 214,921,200 different ways.
~Lenvy~
Multiply by 10: 0.003, 0.3 30, 300
Answer:
0.003*10=0.03
0.3*10=3
30x10=300
300x10=3000
Step-by-step explanation:
Multiply each by 10
Answer:
0.03 , 3, 300, 3,000
Step-by-step explanation:
every time you multiply a decimal by 10 you move the decimal to the right once , on a whole number you just add another zero
HELP ILL GIVE BRAINLIEST!!! i need this rlly soon so im rlly desperate to give whoever answers this a brainliest and 5 stars and 15 points! ;-;
Answer:
a) -0.6
b) 8.1
c) -6.5
d) 5.2¯9. The little line on top of the 9 is "bar notation".
Step-by-step explanation:
Hope this helps =)
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Step-by-step explanation:
let x represent the monthly budget.
13 % of x = $ 2600
(13/100) * x = $2600
13/100 = $2600/x
thus, the answer is D.
hope this helps you!
-s.
(1 point) Use differentials (or equivalently, a linear approximation) to approximate sin(56∘)
sin(56∘) as follows: Let ()=sin() and find the equation of the tangent line to () at a "nice" point near 56∘. Then use this to approximate sin(56∘).
Approximation =
Linear approximations are used to estimate functions using derivatives
The approximated value of sin(56 degrees) is 0.8429
How to approximate sin(56)The trigonometry expression is given as:
[tex]\sin(56^o)[/tex]
Convert 56 degrees to radians
[tex]56^o = \frac{56}{180}\pi[/tex]
To approximate, we make use of 45 degrees.
Where:
[tex]\sin(45^o) = \cos(45^o) = \frac{\sqrt 2}{2}[/tex]
Also, we have:
[tex]45^o= \frac{\pi}{4}[/tex]
And
[tex](\sin\ x)'= \cos\ x[/tex]
So, the approximation of sin(56 degrees) become:
[tex]\sin(56\°) = \sin(45\°) + (\frac{56}{180}\pi - \frac{\pi}{4}) *\cos(45\°)[/tex]
Substitute known values
[tex]\sin(56\°) = \frac{\sqrt 2}{2} + (\frac{56}{180}\pi - \frac{\pi}{4}) *\frac{\sqrt 2}{2}[/tex]
Take LCM
[tex]\sin(56\°) = \frac{\sqrt 2}{2} + \frac{56 - 45}{180}\pi *\frac{\sqrt 2}{2}[/tex]
[tex]\sin(56\°) = \frac{\sqrt 2}{2} + \frac{11}{180}\pi *\frac{\sqrt 2}{2}[/tex]
Solve the expression
[tex]\sin(56^o) = 0.8429[/tex]
Hence, the approximated value of sin(56 degrees) is 0.8429
Read more about linear approximation at:
https://brainly.com/question/26164627
How can you use
ratios to determine if a
relationship is
proportional?
Proportions are corresponding assuming they address a similar relationship. One method for checking whether two proportions are corresponding is to keep in touch with them as divisions and afterward decrease them. Assuming the decreased divisions are something similar, your proportions are relative.
Answer:
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Step-by-step explanation:
express 7 1/2% to fraction
Answer:
15/2 is the answer to the question
Answer:
15/2
Step-by-step explanation:
If you purchase a $24 pair of shoes at a 10% discount and a $10 belt at a 25% discount, what is the total price you owe, before tax?
Answer: $29.10
Step-by-step explanation:
Shoes:
10% of 24 is 2.4
The shoes cost 21.60 with the 10% discount and before tax.
Belt:
25% of 10 is 2.5
The belt cost $7.50 with the 25% discount and before tax.
Total:
You still owe 29.10 for the belt and shoes before tax.
You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)
The weight of a basketball is normally distributed with a mean of 17oz and a standard deviation of 2oz.
Suppose 500 different basketballs are in a warehouse. About how many basketballs weigh more than 19oz?
O 20
O 40
O 80
O 100
Find the value of N in 26%×N=78
Answer:
26%×N=78
Reduce the fraction 26/100 to lowest terms by extracting and cancelling out 2.
13
– N=78
50
multiply both sides by 15/30 the reciprocal of 13/50
N=78× (50/13)
Express 78×(50/13) as a single fraction
N=78×50
———
13
multiply 78 and 50 to get 3900.
N=3900
———
13
Divide 3900 by 13 to get 300.
N=300
So the answer is N=300
Step-by-step explanation:
#Carry on learning
Imagine a standard deck of cards with all the aces and twos removed. Find each probability below.
a. P (heart)
b. P(black)
c. P (face card)
d. P (not heart)
Answer: See below
Step-by-step explanation:
Event 1:
When the aces and twos (8 cards in total) are removed:
52 - 8 = 44 total cards
Since 2 cards (an ace and a two) were removed there are a total of 11 hearts
Probability: 11/44
P = 1/4 or 25%
Event 2:
Since 4 cards (2 aces and 2 two's) were removed there are a total of 22 blacks
Probability: 22/44
P = 1/2 or 50%
Event 3:
There are 12 face cards in the deck
Probability: 12/44
P = 3/11 or 27.27%
Event 4:
Probability of a heart + Probability of not a heart = 1 --> 100%
P(not a heart) = 1 - P(heart)
P = 1 - 1/4
P = 3/4 or 75%
It takes Jada 20 minutes to walk to school. It takes Andre 80 percentage as long to walk to school.How long does it take Andre to walk to school?
Answer:
16 minutes
Step-by-step explanation:
multiply 20 by 80% (20 times .80)
35 kilometers per hour to meters per
minute
Answer:
21.748 mph
Step-by-step explanation:
What is the equation of this line?
y= - 3/2x
y= 3/2x
y= - 2/3x
y= 2/3x
Answer:
[tex]y=\displaystyle\frac{2}{3}x[/tex]
Step-by-step explanation:
Hi there!
The given linear equations are organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when x=0)
First, we can determine the slope using the following formula:
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in any two points from the graph that falls on the line (you can see below that I've used (3,2) and (0,0):
[tex]m=\displaystyle\frac{2-0}{3-0}\\\\m=\displaystyle\frac{2}{3}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{2}{3}[/tex]. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=\displaystyle\frac{2}{3}x+b[/tex]
We know that the point (0,0) falls on the line. Because y=0 when x=0, we know that the y-intercept (b) is 0:
[tex]y=\displaystyle\frac{2}{3}x+0\\\\y=\displaystyle\frac{2}{3}x[/tex]
I hope this helps!
Rajeev started to move from point A towards point B exactly an hour after Rohit started from B in the opposite direction but at a speed twice as much as that of rohit.By the time rohit covers ⅙ of the distance between the point B and A Rajeev also covers the same distance.
Speed is the rate of change of distance over time
It takes Rohit 2 hours to cover the same distance
How to determine the timeRepresent Rajeev with A, and Rohit with B
Speed is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
Rohit covers 1/6 of the distance between point AB
So, we have:
[tex]S_B = \frac{AB/6}{T_B}[/tex]
Make T the subject
[tex]T_B = \frac{AB/6}{S_B}[/tex]
[tex]T_B = \frac{AB}{6S_B}[/tex]
Rajeev's speed is twice that of Rohit.
So, we have:
[tex]S_A = 2 * S_B[/tex]
[tex]S_A = \frac{AB}{T_A}[/tex]
So, the time taken by Rajiv to cover 1/6 of the distance is:
[tex]T_A = \frac{AB}{12S_B}[/tex]
The difference between the time is given as 1.
So, we have:
[tex]\frac{AB}{6S_B} - \frac{AB}{12S_B} = 1[/tex]
Multiply through by 12SB
[tex]2AB - AB = 12S_B[/tex]
[tex]AB = 12S_B[/tex]
Recall that:
[tex]T_B = \frac{AB}{6S_B}[/tex]
So, we have:
[tex]T_B =\frac{12S_B}{6S_B}[/tex]
[tex]T_B = 2[/tex]
Hence, it takes Rohit 2 hours to cover the same distance
Read more about speed at:
https://brainly.com/question/4931057
7x - 5y = -24
-9x + 5y = 18
Answer:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
7x−5y=−24−9x+5y=187x-5y=-24-9x+5y=18
Answer:
Assuming this is a system of equations...
Point form > (3, 9)
Equation form > x = 3, y = 9
Step-by-step explanation:
So we need to solve for x in 7x - 5y = -24
Add 5y to both sides
7x = -24 + 5y
-9x + 5y = 18
Divide each term by 7
7x/7 = -24/7 + 4y/7
-9x + 5y = 18
x = -24/7 + 5y/7
-9x + 5y = 18
Now we need to replace all occurences of x with -24/7 + 5y/7
-9(-24/7 + 5y/7) + 5y = 18
x = -24/7 + 5y/7
So lets focus on simplifying -9(-24/7 + 5y/7) + 5y
Apply the distributive property
-9(-24/7) - 9 5y/7 + 5y = 18
Now multiply -9(-24/7)
So -1 by -9
9(24/7) - 9 5y/7 + 5y = 18
Combine 9 and 24/7
9 * 24/7 - 9 5y/7 + 5y = 18
Then Multiply 9 by 24
216/7 - 9 5y/7 + 5y = 18
Now we multiply -9 5y/7
So Combine -9 and 5y/7
216/7 + -9(5y)/7 + 5y = 18
Now Multiply 5 by -9
216/7 + -45y/7 + 5y = 18
Move the negative
216/7 - 45y/7 + 5y = 18
Now we need to multiply by 7/7 to make 5y a fraction with a common denom.
216/7 - 45y/7 + 5y * 7/7 = 18
Combine
216/7 + -45y + 5y * 7/7 = 18
Combine further
216 - 45y + 5y * 7/7 = 18
Multiply
216 - 45y + 35y
Add
216 - 10y/7 = 18
Factor 2 out of the equation
2(108) - 10y/7 = 18
Factor more
2(108) + 2(-5y)/7 = 18
Factor further
2(108 - 5y)/7 = 18
Now we want to solve for y in 2(108 - 5y)/7 = 18
Multiply both sides by 7 then simplify.
2(108 - 5y) * 7/7 = 18 * 7
2 * 108 + 2 (-5y) = 18 * 7
Multiply
216 + 2 (-5y) = 18 * 7
Multiply again
216 - 10y = 18 * 7
Reorder 216 and -10y
-10y + 216 = 18 * 7
Simplify the right side
-10y + 216 = 126
Now we need to solve for y
So lets move all terms not containing y to the right side.
-10y = 126 - 216 (Subtract 216 from both sides)
-10y = -90
Divide each term by -10
-10y/-10 = -90/-10
Simplify the left side
-90/10
And the right side
y = 9
x = -24/7 + 5y/7
Now replace y with 9
-24/7 + 5(9)/7
Simplify the right side
-24 + 5(9)/7
Multiply
-24 + 45
Add
21/7
x = 3
Therefore x = 3, y = 9 > (3, 9)
HELP URGENT!!!
Find the area of the parallelogram
Answer:
60 in²
Step-by-step explanation:
Area of parallelogram = base x height
= 10 in x 6 in
= 60 in²
The area of the parallelogram is 60in².
Robert wants to have more than 50 dollars in his wallet. He currently has 18 dollars. Write and solve an inequality to find how much more Robert should put in his wallet.
Please help! It's due today :(
Answer:
Robert should put $32 in his wallet.
Step-by-step explanation:
18 + x > 50
-18 -18
x > 32
Hope this helps!
quadrilateral ABCD is a rhombus. if the measure of ADC equals 60°, then the measure pf EDC equals?
Answer:
60 divided by 2 = 30
We half it because Angle E halfs Angle D
Step-by-step explanation:
As with all quadrilaterals, the sum of the interior angles of a rhombus is 360 degrees; as with a parallelogram, the angles of opposite pairs of vertices are equal, and the sum of the angles of two adjacent vertices is 180 degrees.