Answer:
x = = -5 ; y = -1 ; z = 4 [tex]\bigg | = 3 \bigg |[/tex]
Step-by-step explanation:
The equation of the plane through (1,-4,0) is,
a(x-1) + b(y+4) + c(z+0) = 0 ....... (1)
Again the plane is perpendicular to the vector (5,1,-4)
So, the direction ratios of the normal to the plane is proportional to the direction ratios of the vector (5,1,-4)
So, a/(5) = b/(1) = c/(-4 )
Let,a/(5) = b/(1) = c/(-4 ) = k
So, a = 5k, b = k and c = -4k
So, from (1) we have,
(5k)(x-1) + (k)(y+4) + (-4k)(z+0) = 0
Thus;
-5(x-1) -(y+4) +4(z+0) = 0
So,
-5x +1 -y-4+4z+0 =0
-5x - y +4z -3 = 0
-5x - y +4z = 3
x = = -5 ; y = -1 ; z = 4 [tex]\bigg | = 3 \bigg |[/tex]
j
— + 7 = -12
-2
what is the answer
Answer:
j=38
Step-by-step explanation:
j
— + 7 = -12
-2
move the (7) to the other side by subtracting,
-12-7= 19
j
— = -19
-2
continue by moving (-2) to the other side as well, do so by multiplying,
-19*-2= 38
therefore, j=38
Byron is 2 years younger than Cindy. Eight
years ago, the sum of their ages was 14.
How old is Byron now?
Step-by-step explanation:
let age of Byron be b yr old and Cindy be c yr old.
c = b + 2 --(1)
b - 8 + c - 8 = 14
b + c = 30 --(2)
sub (1) into (2):
2b = 28
b = 14
therefore Byron is 14 yr old now.
Topic: simultaneous eqns
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Answer:
10
Step-by-step explanation:
Byron is 2 yrs younger than Cindy. 8 years ago the sum of their ages was 14.
Byron is 2 years at that time. Definitely, Cindy is 12 years old so the sum of their ages was 14. Let us just add 8 years to Byron's age at that time so 2 + 8 = 10
P.S: This just based on my understanding of the problem.
what is the answer to this
u(2u+5)-4(U+3)
Answer:
its 2u^2-4u+5u-12
Step-by-step explanation:
Which number line shows the solution to the inequality 5x + 3> - 17
Answer:
C would be the correct number line
Step-by-step explanation:
5x ≥ - 17 - 3
5x ≥ -20
5x/5 ≥ -20/5
x ≥ 4
Mrs. Thompson wants to buy centerpieces to use at a party. It will cost $49 to have the centerpieces delivered plus $0.89 per centerpiece.
Part A
Let c be the number of centerpieces that Mrs. Thompson purchases. Choose the expression that shows the amount of money she will pay altogether for each centerpiece.
49c + 0.89
0.89 + c + 49
c(0.89 + 49)
49 + 0.89c
Part B
Evaluate the expression to find out how much Mrs. Thompson will pay if she orders 400 centerpieces.
Enter your answer in the box.
Answer:
a. 49 + 0.89c
b. $400
Step-by-step explanation:
Given
Delivery = $49
Cost per Centrepiece = $0.89
Solving (a): Expression that represents the equation.
From the question, we have that the number of centrepiece is represented by c
The expression can be gotten by the following formula.
Cost of Delivery + Cost per centrepiece * Number of centrepieces
This gives
49 + 0.89 * c
49 + 0.89c
Hence, the expression that represents the scenario is 49 + 0.89c
Solving (b): Payment for 400 centrepieces
To solve this, we simply substitute 400 for c in the expression in (a)
This gives:
Payment = 49 + 0.89 * 400
Payment = 49 + 356
Payment = 405
Hence, Mrs. Thompson will pay $405 for 400 centerpieces
What is the answer to m / π = 7.3
Answer:
m=7.3π=22.93
Step-by-step explanation:
m=7.3π=22.93
(rounded to 2 decimal places)
Explanation:
Multiply both sides by π
mπ×π=7.3×π
m=7.3×π
m=7.3×3.14159....
m=22.9336....
For π, you can use your calculator value as I have done here, or you can use 3.14or3.142or227
You will get slightly different answers each time.
Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?
Answer
answers is 267 bits oof yard
Step-by-step explanation:
Answer:
146 divided into 18 would be 8.11111111111.. and so on.
Step-by-step explanation:
Hope that helps :)
7. The vertices of a triangle are P(-7, -1). Q(-7, -8), and R(3. -3). Name the vertices of the
image reflected across the line y=x.
OPX4,7). Q18. 7), R3.-3)
OP/4.-7). Q18. -7). R33)
OP(-7). QI-S.-7), R(-3.3)
OPT+7). Q1-8. 7). R(-3, -3)
The vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).
Therefore, the correct answer is:
P'( -1, -7), Q'( -8, -7), R'( -3, 3)
Here,
To find the image of the triangle vertices reflected across the line y = x, we need to swap the x-coordinates with the y-coordinates.
Original vertices of the triangle:
P(-7, -1)
Q(-7, -8)
R(3, -3)
Now, swap the x and y coordinates to get the reflected image:
Reflected image vertices:
P'( -1, -7)
Q'( -8, -7)
R'( -3, 3)
So, the vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).
Therefore, the correct answer is:
P'( -1, -7), Q'( -8, -7), R'( -3, 3).
To learn more on reflection click:
brainly.com/question/15487308
#SPJ7
Hello please this is kinda urgent so if you could answer really fast before 11:50 that would be great :-p-This is a school lesson on zearn no explenation needed just put the answer using /
Answer:
1 2/6 - 3/6
Step-by-step explanation:
This should be right if you are keeping the same amount but want to just change up the numbers!
ANSWER ASAP PLEASE I WILL GIVE THE BRAINLIEST THINGY!!
Sparky ate 2 1/2 bones in the morning and 1 2/3 bones in the afternoon. How many bones did Sparky eat all together?
Answer:
4 1/3
Step-by-step explanation:
2 + 1=3. 1/2+2/3 = 1 1/3. 3 + 1 1/3 = 4 1/3
Hope this helps! Give Brainliest if it did!
Leslye wants to purchase a ticket to the dance. She will also purchase snack packs for herself and her friends. She is spending $3 for the ticket and knows that the snack packs will cost $5. Write
an inequality to show how many snack packs Leslye can purchase if she plans on spending less than $30.
Answer:
5 snack packs and 1 ticket.
Step-by-step explanation:
Do YoU kNoW dA wAe?
d Question 5 5. Given A is between Y and Z and YA = 14x, AZ = 10x and YZ = 12x + 48, find AZ
Answer:
Step-by-step explanation:
If A is in between Y and Z, then;
YA+AZ = YZ
Given.
YA = 14x,
AZ = 10x and
YZ = 12x + 48
Substitute into the formula
14x+10x = 12x+48
Find x;
24x = 12x+48
24x-12x = 48
12x = 48
x = 48/12
x = 4
Get AZ
AZ = 10x
AZ =10(4)
AZ = 40
If the mean of 20 prices is $10.39, and 5 of the items with a mean of $10.99 are sampled, what is the mean of the other 15 prices?
Answer:
$10.19
Step-by-step explanation:
We are told:
If the mean of 20 prices is $10.39
We have to find the total price
= Mean × number of prices
= 20 × $10.39
= $207.8
5 of the items with a mean of $10.99 are sampled
We would also find the total price
Mean × Number of samples
$10.99 × 5
= $54.95
what is the mean of the other 15 prices?
We find the total prices of the 15 prices
= Total 20 prices - Total of 5 prices
= $207.8 - $54.95
= $152.85
The mean of the other 15 prices
= $152.85/15
= $10.19
Shiloh is splitting a quart of mac n cheese with seven friends. If all 8 of them share the quart equally, how many cups will each person get?
Can someone please help me
Answer:
0.125 quarts
Step-by-step explanation: One quart divided by 8
Can i be brainliest
PLEASE HELP FAST AND CORRECT! 50 points!
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6×X+95=4/5×X
Subtract X from both sides of the equation
Multiply/Combine like terms
95=19/30×X
Multiply by 30/19 and simply
30/19*95=X
Solve for X to get 150
1/6×150=25
4/5×150=120
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6*x+95=4/5*x
Move stuff around
95=1/6+4/5*x
Multiply/Combine like terms
95=19/30*x
Multiply by 30/19 and then simplify
30/19*95=x
Solve for x
1/6*150=25
4/5*150=120
Describe the graph of y = negative x squared and compare it with the graph of y = x squared.
Answer:
The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.
Answer:
The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.
Step-by-step explanation:
This was the possible answer that was given :)
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
A
Step-by-step explanation:
Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!
mrs Moore worked 42 hours and 35 minutes last week. How many hours and minutes did she average in each of the five days?
Answer:
6.08333333 hours
Step-by-step explanation:
((42 hours) + (35 minutes)) / 7 = 6.08333333 hours
hope this helps LOL :)
Answer:
511 min or 8 hrs and 52 min
Step-by-step explanation:
first you need a common subject so convert 42 hours into min, which is 2,520 then add the 35 which gives you 2,555 total.
then divide by 5 which gives you the adverage of 511 min
convert answer into hours which is about 8 hours and 52 min rounding up
In the table, please select the product (s), by name, that has the higher percentage of being ordered.
I believe the answer is B can someone confirm
Answer:
Looks right, b is right
Step-by-step explanation:
The rest are false
Answer:
yes you are right
Step-by-step explanation:
B is correct
Write an equation, then determine the number described in the following statement: Eight less than 3 times a number is twice the sum of x and 4.
A. 8 – 3x = 2x + 4; x = 2.4
B. 8 – 3x = 2(x + 4); x= 0
C. 3x – 8 = 2x + 4; x= 12
D. 3x – 8 = 2(x + 4); x = 16
Answer:
It is either b or d but I think it is b
Step-by-step explanation:
Translate to algebra:
Tom has t dollars. He buys 5 packets of gum worth d dollars each. How much money does he have left?
Answer: t - 5d
Step-by-step explanation: Since you are buying 5 and they cost d dollars you would multiply 5 by d. Then since you have t dollars as a total you subtract 5d from t so you get t -5d.
what would be the value of m?
Answer:
126°
Step-by-step explanation:
First you need to find the 3rd inside angle.
72+54+x=180
126+x=180
x=54
Once you have the 3rd inner angle, you can take 180 and subtract it from it so you would have 180-54 which is 126
An $800 couch is marked up 20%. (increase) What is the new price of the couch?
Answer:
The new price of the couch is $960
Step-by-step explanation:
A chess game comes with two kings, two queens, four rooks, four Bishops, four knights, and sixteen pawns (a total of 32 pieces). A game piece is randomly selected, replaced, then another is chosen. Find the probability of selecting a king or queen, then a pawn.
Answer:
3/32
Step-by-step explanation:
Plz mark as brainliest!!!
6 / 3/5 ITS FOR A 20 PIONT
Answer:
10
Step-by-step explanation:
I'm guessing you meant this, but tell me if I'm wrong and I'll fix it
6 / (3/5)
6 * 5/3
30/3
=10
Hope it helped!
Answer:
thanks
Step-by-step explanation:
The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $460 a week?
Answer:
0.74751
Step-by-step explanation:
Using the z score formula
z = (x-μ)/σ, where
x is the raw score = $460
μ is the population mean = $490
σ is the population standard deviation = $45
z = 460 - 490/45
z = -0.66667
Probability value from Z-Table:
P(x < 460) = 0.25249
P(x > 460) = 1 - P(x<460)
P(x > 460) = 1 - 0.25249
P(x > 460) = 0.74751
The probability that a randomly selected teacher earns more than $460 a week is 0.74751
A.4
B.3
C.6
D.5........ please help
Answer:
The answer is
A. 4
Step-by-step explanation:
Factor 12x^3-19x^2-13x-6 given that x-2 is the factor
Answer:
x-2(6x^2-4.4x-6.5-3) I believe.
Can somone help me on this please idk it