Answers
Answer:
x = 1, y = -1, z = 3
Step-by-step explanation:
x - 2y + 2z = 9
y + 2z = 5
z = 3
According to the last equation, z is equal to 3 so we can plug that in and our new 2 equations will be:
x - 2y + 6 = 9
y + 6 = 5
We can subtract 6 from both sides of the second equation to end up with:
y = -1
Now plugging this into the first equation, we have:
x + 2 + 6 = 9
x + 8 = 9
Subtract 8 from both sides
x = 1
Related Questions
how can place value help me multiply a two digit number by a multiple of 10
Answers
Answer:
Oooooo
Step-by-step explanation:
There are 3 directors, 4 management executives, 2 statisticians and 1 administrator. A committee of 4 members among them is to be formed. Find the probability that the committee consists of i) one of each kind III) one administrator and the other three III) at least one director
I need this answer Help me?
Answers
Answer:
1) 4/35
2) 11/14
3) 5/6
Step-by-step explanation:
First find the number of selections possible.
[tex]\frac{10!}{(10-4)!4!} = 210[/tex]
There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.
[tex]4*3*2*1=24[/tex]
The probability for each member to get selected from each kind is : [tex]24/210[/tex] or can be simplified to [tex]4/35[/tex].
The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.
Find the probability for both a administrator included and three others.
[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]
[tex]\frac{165}{210} = \frac{11}{14}[/tex]
The probability for an administrator and the other three is 165/210 or 11/14.
For the last one, you will figure out what the probability is for no director and use that % to substract from 100.
4+2+1 = 7
Get selections possible.
[tex]\frac{7!}{(7-4)!4!} = 35[/tex]
Get probability of no director.
[tex]\frac{35}{210} = \frac{1}{6}[/tex]
Substract 1/6 from 100%
1 - 1/6 = 5/6
The probability of having at least one director is 5/6.
slope = 2; y-intercept = -1
Answers
Answer:
line equation: y= 2x-1
Slope intercept formula
y=mx+b
m is also the slope
b is the y-intercept
y=2x+(-1)
+ positive sign and -negative sign= - negative sign
y=2x-1
Answer :
y=2x-1
adding fractions with unlike denominators
Answers
Answer:
-5/6
Step-by-step explanation:
Multiplying numerators and denominators to get the LCD in all fraction denominators
=−7×38×3−1×83×8+3×38×3
Then rewriting the equation with the equivalent fractions
=−2124−824+924
With like denominators we can operate on just the numerators
=−21−8+924
=−2024
Simplifying the answer
=−56
Hope it helps :D (Have a great day too)
I would be so happy if you helped me with this question:3
Answers
Answer:
650
Step-by-step explanation:
18,000-3,000
13,000
13,000 x 5%
$650
Answer:
$900.
Step-by-step explanation:
An ant is climbing up a branch that is tilted 60° to the ground. It moves at a constant velocity of 0.5 cm/sec. Find the set of parametric equations that describes the path of the ant’s travel. Assume the ant starts at the origin.
Answers
Answer:
the set of parametric equation would be x(t) = 0.25t, y = 0.43t
Step-by-step explanation:
The computation of the set of parametric equation would be
x(t) = 0.5 cos 60 degrees t , y = 0.5 sin 60 degrees t
x(t) = 0.5 × 0.5t , y = 0.5 × 0.866 t
x(t) = 0.25t, y = 0.43t
Hence the set of parametric equation would be x(t) = 0.25t, y = 0.43t
The same is to be considered
The above equation represents the answer
For the entire practice:
1) B, [tex]x(t)=0.25t[/tex] and [tex]y(t)=0.43t[/tex]
2) B, 4 ft.
3) A, [tex]x=27.82[/tex], [tex]y=-4.9t^2+11.24t[/tex], horizontal distance = 63.71 m
Write the decimal equivalent
Two hundred and thirty-four hundredths
Answers
Two hundred = 200
34 hundredths = 0.34 (34/100)
AND means add
If
Answers
Answer: If you were born in April you a amiable, and always ready to help others and a faithful lover.
Step-by-step explanation:
Mrs. Anders gave her class 15 minutes to read. Courtney read 8 ½ pages in that time. At what rate, in pages per hour, would Courtney read?
Answers
Answer:
34
Step-by-step explanation:
15 mins is 1/4 od an hour so mulitply 8 1/2 (8.5) x 4
Answer:
First we figure out how many words in total she has to read.
This would be the (number of pages) times (number of words per page).
820 * 350 = 287000
so she has to read 287000 words
we divide this by 110 to get how long it would take for her to finish (in minutes)
287000 / 110 = 2609.09090909....
then since there are 60 minutes in an hour, we divide that number by 60
2609.09090909... / 60 = 43.48484848...
Therefore it would take her about 43.5 hours to complete her assignment.
Step-by-step explanation:
5 What is the value of m? Show your work 3 5 (2m - 5) = 2(3m - 4)
Answers
Answer:
70m-175=6m-12
70m-6m=175-12
64m=163
m=163/64
Perry performs a study to determine the average number of flowers on gardenia bushes at a plant nursery. Which will produce the most representative results?
a sample of the first 20 gardenia bushes near the entrance
a sample of every other gardenia bush in the shade
a sample of every other gardenia bush in full sun
a sample of 10 gardenia bushes in the shade and 10 in full sun
Answers
Answer:
d
Step-by-step explanation:
this is the correct answer on edge people.
A sample of 10 gardenia bushes in the shade and 10 in full sun will help us determine the most representative result.
What is scientific testing ?"Scientific testing involves figuring out what we would expect to observe if an idea were correct and comparing that expectation to what we actually observe.
Any aspect of the natural world could be explained in many different ways. It is the job of science to collect all those plausible explanations and to use scientific testing to filter through them, retaining ideas that are supported by the evidence and discarding the others."
Hence,
from the definition it is clear that a sample of 10 gardenia bushes in the shade and 10 in full sun.
To know more about scientific testing here
https://brainly.com/question/1598630
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A pecan ple recipe calls for 3 1/2 cups of sugar for 16 servings. How many cups of sugar are needed for 32 servings of pecan ple?
A. 6.24 cups
B. 7 cups
C. about 146 cups
D. about 164 cups
Answers
Answer:
B. 7 cups
Step-by-step explanation:
16+16=32
3 1/2+3 1/2=
3+3=6 1/2+1/2=1
6+1=7
Answer:
B. 7 cups
Step-by-step explanation:
31/2 cups for 16 servings.
32 servings are two 16 servings
Convert 3 1/2 to fraction 7/2 then multiply by 2
7 cups
Help usatestprep need answer
Answers
Answer:
one solution
Step-by-step explanation:
they only meet up once
get a new computer br.uh
solve cos^30- sin^30
Answers
Answer:
hi
Step-by-step explanation:
hdisbkaab
bhai kyun dimag kharab kr raha hai chup chap apni mam se puchWhat is the solution to the inequality 14y−14≥14?
Answers
Answer:
[tex]y \geqslant 2[/tex]
Step-by-step explanation:
1. Add 14 to both sides.
[tex]14y \geqslant 28[/tex]
2. Divide both sides by 14.
[tex]y \geqslant 2[/tex]
Below are prices for various sizes of popcorn sold at the local movie theater. Match the popcom size to its correct price
per ounce
1 Mega Bag $10.24 for 32 02.
$028
2. Giant Bag $6.00 for 24 oz
$0.25
3 Medium Bag $4.48 for 16 oz.
$0.30
4 Kid's Bag: $2.40 for 8 oz.
$0.32
Answers
Answer:
1=0.32
2=0.25
3=0.28
4=0.30
Step-by-step explanation:
You want to divide each price by the ounces.
$10.24÷32 oz = $0.32
$6.00÷ 24=$.0.25
$4.48÷16=$0.28
$2.40÷ 8=$0.30
What is the area of a square with side a = 3m?
Answers
Answer:
12
Step-by-step explanation:
Answer:
9 Square Meters
Step-by-step explanation:
3x3=9
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°. Find the length of k, to the nearest inch.\
Answers
Given:
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
To find:
The length of k, to the nearest inch.
Solution:
According to Law of sine,
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
In ΔKLM, using law of sine, we get
[tex]\dfrac{k}{\sin K}=\dfrac{l}{\sin L}[/tex]
[tex]\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}[/tex]
[tex]k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}[/tex]
On further simplification, we get
[tex]k=\dfrac{48\times 0.819152}{0.7193398}[/tex]
[tex]k=\dfrac{39.319296}{0.7193398}[/tex]
[tex]k=54.66025 [/tex]
Approximate the value to the nearest inch.
[tex]k\approx 55 [/tex]
Therefore, the length of k is 55 inch.
The length of k, to the nearest inch is ∠K=55°.
Calculation of the length of K:
Since
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
Now here we apply law of sine
[tex]a\div sin\A = b\div sin\ B = c\div sin\c \\\\k\div sin \ k = l\div sin\ L\\\\k\div sin\ 55 = 48\div sin\ 66[/tex]
k = 54.66
k = 55 degrees
hence, The length of k, to the nearest inch is ∠K=55°.
Learn more about length here: https://brainly.com/question/2527688
You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $7.50 per hour that you clean and your retail job pays $10.00 an hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours that you can work at each job and still pay your bills.
Answers
Answer:
[tex]c + r \leq 10[/tex]
[tex]7.5c + 10r \geq 56[/tex]
Step-by-step explanation:
Given
Hours = not more than 10
Earnings = At least 56
Required
Represent this as a system of inequalities
Let c represents the cleaning job
Let r represents the retail job
The number of hours
Not more than means [tex]\leq 10[/tex]
So:
[tex]c + r \leq 10[/tex]
Earnings
c = 7.50 per hour
r = 10 per hour
Earnings = At least 56
At least 56 means [tex]\geq 56[/tex]
So;
[tex]7.5c + 10r \geq 56[/tex]
Hence, the system is:
[tex]c + r \leq 10[/tex]
[tex]7.5c + 10r \geq 56[/tex]
Are the two following expressions equivalent? ( yes or no ) 24x + 6y and 6(4x + y
Answers
Answer:
yes because on the second one you have to use the distribution property (multiply the term outside the parenthesis by the terms inside them)
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
Distribute 6 to (4x+y), and you will get the same expression of 24x+6y.
4x times 6 = 24x
6 x y = 6y
24x+6y
5TH GRADE LEVEL QUESTION: look at photo and answer.
Answers
Answer 11/20
Step-by-step explanation:
Answer:
11/20
Step-by-step explanation:
3/4 - 1/5
Write all numerators above the least common denominator
15-4/20
Subtract numbers
11/20
Help Hurry!!! Timed!!!!!
Answers
Help ASAP!!!!!!!!!!!!!!
Which expression represents the difference when (x^3+3x^2+5x-7) is subtracted from (2x^2-x+1)
Answer choices
1.) -x^3-x^2-6x+8
2.) -x^3-x^2-4x-8
3.) x^3-x^2-6x-8
4.) x^3-x^2-6x+8
Answers
Answer:A
Step-by-step explanation:
How is Triangle ABC similar to DBE?
Answers
Answer:
Triangle ABC is similar to triangle DBE: ∆ABC~∆DBE. ... Therefore, in conformity with first sign of the similarity of triangles, if two angles of one triangle are equal to two angles of another triangle, they are similar to each other. ∠BDE=∠BAC,∠BED=∠BCA ⇒ ∆ABC~∆DBE
What number can you divide both 4 and 2 by?
Answers
Answer:
Well, an infinite amount of numbers. . .
Step-by-step explanation:
1 and 2 would work
Which expression represents 5/8
8 divided by 3
8 divided by 5
5 divided by 8
3 divided by 8
Answers
Answer:
5 divided by 8
Step-by-step explanation:
/ is another symbol for ÷
Answer:
5 divided by 8
Step-by-step explanation:
47 Which table contains only values that satisfy the equation y = 0.5x + 14?
Х
y
х
y
0
0
014
5
35
A
5 16.5
С
10
70
10 19
15
105
15 21.5
20
140
20 24
Х
y
Х
y
0
14
0
5
39
B
5
14.5
D
10
64
10
15
15
89
15
15.5
Answers
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
DF bisects EDG. Find FG. The diagram is not to scale.
Answers
n + 5 = 2n - 6
n - 2n = -6 - 5
-n = -11
n = -11/-1
n = 11
FG = 2n - 6
FG = 2(11) - 6
FG = 22 - 6
FG = 16
A box of cereal contains 340 grams of carbohydrates. If there are 12 servings, about how many grams are there in one serving? Show how you estimated. Explain why your answer is reasonable.
Answers
4j + 4 =
Next, subtract 4 from both sides.
4j
Answers
Answer:
4j=-4
j=-1
Step-by-step explanation:
Answer:
4j=-4 j=-1
Step-by-step explanation: