Solve for x.
–30 = 5(x + 1)
Answer: x= -7
Step-by-step explanation: distribute first then minus 5 from -30 then divide by 5 x
Find the GFC of 28 and 30.
GFC =
Answer:
2
Step-by-step explanation:
(b) Find the value of k such that point (3,-2) lies on the locus 2x²-3y² + 2k-6y + 2 = 0
Answer:
[tex]{ \tt{ {2x}^{2} - {3y}^{2} + 2k - 6y + 2 = 0 }} \\ { \tt{ \{x = 3 \: \: and \: \: y = - 2 \}}} \\ { \tt{ {2(3)}^{2} - {3( - 2)}^{2} + 2k - 6( - 2) + 2 = 0}} \\ { \tt{18 - 12 + 2k + 12 + 2 = 0}} \\ { \tt{2k + 20 = 0}} \\ { \tt{2k = - 20}} \\ { \tt{k = - 10}}[/tex]
Answer:
⇒ k=−9
Step-by-step explanation:
then put P(−2, 2) and we get,
x
2
−7x+ky=0
(−2)
2
−7(−2)+k(2)=0
⇒ 4+14+2k=0
⇒ 18+2k=0
⇒ 2k=−18
⇒ k=−9
again point Q(3, a) lies on the locus
the, put Q(3, a) and k=−9. We get
x
2
−7x+ky=0
(3)
2
−7(3)+(−9)×a=0
9−21−9a=0
−9a=+12
a=
9
−12
a=
3
−4
3. Write the equation and solve for: Five subtracted from the product of six point
and a number is the same as thirteen. (Use the letter "n" as your variable)
Answer:
*correct me if I'm wrong with the equation setup but I believe this is your answer.*
( 6 × n ) - 5 = 13
( 6 x n ) = 18
n = 3
The Ted Williams Tunnel under Boston Harbor is 2.57
kilometers long. How many meters is the length of the
tunnel?
Answer:m=2570
Step-by-step explanation:2.57kilos= 2570m
WILL MARK BRAINLIEST IF CORRECT! How many solution? Is it 0? is it 1? is it infinite?
Answer:
Step-by-step explanation:
There are two restrictions on x: First, x must be less than -4; second, x must be greater than 5. Both of these inequalities have an infinite number of solutions, so overall this set of restrictions has an infinite number of solutions.
Find the intersection of line ce and line eb
Is
A person's batting average is determined by dividing the number of hits by the
number of at bats. William has 11 hits in 53 at bats and has a batting average of
0.208. He wants to have a batting average of at least 0.300.
Which equation could be used to determine x, the number of hits in a row William
needs to get in order to have a batting average of at least 0.300?
11x
A. 0.300 s
53x
11
B. 0.300x s
53
11 + x
C. 0.300 s.
53
11 + x
D. 0.300 s
53 + x
The equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].
What is inequality?Inequality is a relation that makes a non-equal comparison between two expressions.
Batting average of William = 11/53
Desired batting average = 0.300
Suppose the number of more hits in a row to have desired batting average =x
Number of hits now =11+x
Number of bats now =53+x
It is given that the batting average should be a minimum of 0.300.
This means [tex]\frac{11+x}{53+x} \leq 0.300[/tex]
Therefore, the equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].
To get more about inequality visit:
https://brainly.com/question/24372553
Use the number line to represent all the solutions to the inequality -3(2j-11)>=8j-9.
Select a ray. Move the point on the ray to the correct place on the number line.
The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.
What is the solution to the given inequality?Given the inequality in the question;
-3( 2j - 11 ) ≥ 8j - 9
First, we simplify using distributive property.
-3( 2j - 11 ) ≥ 8j - 9
-3×2j -3×-11 ≥ 8j - 9
-6j + 33 ≥ 8j - 9
Next, move all terms containing j to the left and all constant to the right.
-6j + 33 ≥ 8j - 9
-6j - 8j ≥ - 9 - 33
-14j ≥ -42
Divide both sides by -14.
Note that, when multiplying or dividing both sides of an inequality by a
negative value, the inequality sign flips directions.
-14j/-14 ≤ -42/-14
j ≤ -42/-14
j ≤ 3
Therefore, The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.
Learn more about inequality here: https://brainly.com/question/17675534
#SPJ1
Determine the shaded areas part 2
9514 1404 393
Answer:
(a) cannot be determined
(b) 44 cm^2
(c) 87 m^2
(d) 180 m^2
(e) 132 m^2
Step-by-step explanation:
(a) missing a horizontal dimension
__
(b) The difference between the bounding rectangle and the lower-left cutout is ...
(8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2
__
(c) The difference between the bounding rectangle and the center cutout is ...
(13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2
__
(d) The difference between the bounding rectangle and the two cutouts is ...
(20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2
__
(e) The difference between the bounding rectangle and the two cutouts is ...
(14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2
Which points are 19 units apart?
○(-14, 12) and (5, 12)
○(-5, 19) and (-12, 19)
○(-20, 5) and (5, 12)
○(14, 12) and (5, 12)
Answer:
(20,5) and (5,12) I think
Answer:
A:(–14, 12) and (5, 12)
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
HELP ME ILL GIVE BRAINLEST !!!!!!!!! PLEASEEEEEEE
Answer:
The m<PML + m<PMQ + m<QMN = 180° since they are supplementary
therefore,
45°+(6x-5)+x=180°
45+7x-5=180
40+7x=180
7x=140
x=20
To test it we should plug in x for each equation and the sum of those answers should equal 180
45+(6x20-5)+20=180?
45+115+20=180?
160+20=180?
180=180
x=20 is valid
Step-by-step explanation:
PLS HELP FAST I NEED HELP
Answer:
50 snail shells
Step-by-step explanation:
5.734 rounded to the nearest whole number
Answer:
6
Step-by-step explanation:
anything over 5 you round up.
7 is greater than 5 so you round up to 6
Answer: 5
Step-by-step explanation:
If the number is 5 or more, you round it up.
It the number is 4 or less, you leave it alone.
Using this process, we eliminate the numbers .734
We get the number 5 as our answer.
Please find the probability down below
Answer: 0.023
Step-by-step explanation:
Given that:
Number of green balls = 9
Number of white balls = 8
Total number of balls = 9 + 8 = 17
Drawing with replacement :
Probability of white :
First draw = 8/17
2nd draw = 8/17
3rd draw =. 8/17
4th draw = 8/17
5th draw = 8/17
P(all 5 are white) = 8/17 * 8/17 * 8/17 * 8/17 * 8/17 = 32768/1419857
= 0.0230783
= 0.023
I need help and a answer tonight
What’s the next number in the pattern, and what is the formula to find the next number in the pattern? 7, 28, 63, 112...
Answer:
7x3
the next number is 336
Step-by-step explanation:
integers -50-3-(-8) please answer correctly
Answer:
-45
Step-by-step explanation:
Because 2 negatives become a positive:
-50-3 + 8 =
-53 + 8 =
-45
A scuba diver used the expression below to describe his position in relation to sea level. 2 + (-20) + 8
Which statement could describe the diver’s movements?
A. Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
B. Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
C. Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
D. Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.
Answer:
-20
Step-by-step explanation:
i think
Answer:
Your answer should be B
Step-by-step explanation:
What is the measure of angle x
Answer:
there is nothing to look at or answer
A rectangular parking lot is 3/4 mile long. If the area is 3/8 square mile, what is the width of the lot?
Answer:
it's .5 or 1/2
Step-by-step explanation:
3/8 ÷ 3/4 = 1/2
Best and Correct answer gets BRAINLIEST!!!!!
Answer:
3
Step-by-step explanation:
3/1 = 3
3 is the correct answer
(4) Madison invested $5,000 at a rate of 7.5%. How much money did she have after 6 months?
Answer:
A = $5,187.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year.
Putting time into years for simplicity,
6 months / 12 months/year = 0.5 years.
Solving our equation:
A = 5000(1 + (0.075 × 0.5)) = 5187.5
A = $5,187.50
The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 7.5% per year for 0.5 years (6 months) is $5,187.50.
The amount of money she saved after 6 months is $5,187.50.
What is Percentage?Chance formula is used to find the quantum or share of commodity in terms of 100. In its simplest form, percent means per hundred. To express a number between zero and one, chance formula is used. It's defined as a number represented as a bit of 100. It's denoted by the symbol, and is majorly used to compare and find out rates.
Given:
r = R/100
r = 7.5%/100
r = 0.075 per year.
Time = 6 months.
= 6/12 = 1/2 year
So, Amount = 5000(1 + (0.075 × 0.5))
A = $5,187.50
The total amount accrued, principal plus interest is $5,187.50.
Learn more about Percentage here:
https://brainly.com/question/29306119
#SPJ2
It takes Evan 3/4 hour to mow his backyard how much will the yard be mowed after 2/3 hour
Answer:
88.88% or 8/9 of the yard is mowed
Step-by-step explanation:
First step is to get the denominator to the same number. Both denominators have a least common multiple of 12.
3/4 * 3/3 = 9/12
2/3 * 4/4 = 8/12
9/12 hours is how long it takes Evan to mow his backyard. He has 8/12 hours of work already done. If we divide the time already passed by the time still needed to mow the backyard, we can get how much of the yard is already mowed.
(8/12) / (9/12)
8/12 * 12/9
96/108 = 88.88
The first three terms of an arithmetic sequence are as follows 9,4,-1 find the next two terms
The following two terms of an arithmetic progression are -6 and -11.
What is an arithmetic sequence?
An arithmetic sequence is defined as a progression of numbers such that the difference between successive terms is consistent. It is also called Arithmetic Progression. The formula for tthe last term of an AP is given as: an = a + (n-1)d, here, a is the first term, n is the number of terms and d is the difference between two successive terms.
Finding the two terms of an arithmetic sequence
The first three terms of an arithmetic sequence are given by:
a1 = 9
a2 = 4
a3 = -1
Now, we want to calculate a4 and a5
Using the formula for calculating the next term of an arithmetic progression, we get,
a4 = a + (n-1)d, where n = 4 and d = 5
a4 = 9 + (4-1)(-5)
a4 = 9 - 15
a4 = -6
Further, a5 = a + (n-1)d, where n = 5 and d = 5
a5 = 9 + (5-1)(-5)
a5 = 9 - 20
a5 = -11
Hence, the next two terms of an AP are -6 and -11.
To learn more about the arithmetic sequence, visit the link given below:
https://brainly.com/question/3625879
#SPJ9
Which statements are true about the locations of points A and B? Select all that apply. Point A is at (0, -2). 4 Point A is at (0, -4). х Point A is at (4,0). Point B is at (-4, -3). -8 -4 4 co А -4. Point B is at (-8,-6). Point B is at (-8, -7). B -8
PLSSSS HELP
Answer:
B and F
Step-by-step explanation:
took the test
PLZ HELPP!! ITS ALMOST DUE!!! ILL MARK BRAINLIEST!!
Answer:
y= 1/2x + 6
Step-by-step explanation:
i hope that helps, I'm pretty sure that's what it is
Answer:
y = 1/2x + 6
Step-by-step explanation:
6 would be the y intercept as he had already planted the 6 rows.
slope = rise/run
1 would be the amount of rows in 1/2
2 would be the amount of hours each time
What’s this answer to this question
help please!! … help
Answer:
True ................
Find the measure of line segment TR
Answer:
17
Step-by-step explanation:
Answer:
TR = 24 units
Step-by-step explanation:
Given 2 secants from an external point to a circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and whole of the other secant, that is
3x(3x + 5x) = 8(8 + 19)
3x × 8x = 8 × 27
24x² = 216 ( divide both sides by 24 )
x² = 9 ( take the square root of both sides )
x = ± [tex]\sqrt{9}[/tex] = ± 3
but x > 0, thus x = 3
Thus
TR = 8x = 8 × 3 = 24