Answer:
x = -1, y = 2 and z = 1
Step-by-step explanation:
The given system of equations are :
2x - y + 3z= -1 ....(1)
x + 2y - 4z = -1 ......(2)
y – 2z = 0 .....(3)
Equation (3) can be written as :
y = 2z
Use y = 2z in equation (2)
x + 2(2z) - 4z = -1
x + 4z - 4z = -1
x = -1
Put the value of x in equation (1) :
-2 -y +3z = -1
-y+3z = 1 ....(4)
Adding equation (3) and (4)
y-2z+(-y+3z)=1
z = 1
Now put z = 1 in equation (4)
-y+3=1
-y = -2
y = 2
Hence, the values of x,y and z are -1, 2 and 1 respectively.
5) Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8
hours more than Week 1. If Phillip earned $540 for both weeks, how many hours did he work
during Week 2?
Answer:
2,160 Hours
Step-by-step explanation:
Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong
Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,
The unit rate for the work of Phillip is given, $11.25 per hour.
Therefore, his earning for h hours = $11.25h
For (8+h) hours = $11.25(h+8)
Since, he earned $540 for both weeks,
Therefore,
11.25(h+8) + 11.25h = 540
11.25h + 90 + 11.25h = 540
22.5h = 450
h = 20
h+8 = 28
Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.
Learn more about unit rates, click;
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Enter the common ratio for this geometric sequence:
8,4,2,....
Give your answer in its simplest form.
Answer:
/2 each time
Step-by-step explanation:
8,4,2
8/2=4
4/2=2
etc
On a team, 6 girls and 5 boys scored a total of 57 points. The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Answer:
The number of points scored by girls = x = 7 points
The number of points scored by boys = y = 3 points
Step-by-step explanation:
The number of points scored by girls = x
The number of points scored by boys = y
On a team, 6 girls and 5 boys scored a total of 57 points.
6 × x + 5 × y = 57
6x + 5y = 57....... Equation 1
The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.
6x - 5y = 27.......... Equation 2
6x + 5y = 57....... Equation 1
6x - 5y = 27.......... Equation 2
We Add the Equations together
12x = 84
x = 84/12
x = 7 points
6x + 5y = 57....... Equation 1
6(7) + 5y = 57
42 + 5y = 57
5y = 57 - 42
5y = 15
y = 15/5
y = 3 points
Hence:
The number of points scored by girls = x = 7 points
The number of points scored by boys = y = 3 points
Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz
Answer:
.16
Step-by-step explanation:
All you do is double each number by 4.
Answer:
1.6 cups of sugar
Step-by-step explanation:
1 batch=0.4 cups
So if you want 4 batches, you would have to quadruple the amount of sugar
0.4x4=1.6
How can the additive inverse be used to evaluate the problem below?
Negative 3 minus (negative 6)
Answer:3
Step-by-step explanation:
-3--9
-3+9=6
Answer:
Its D
Step-by-step explanation:
100 on quiz
this is the most simple problem and I can get it right. Please help!
Jonathan’s math test scores were 87, 93, 85, 62, and 95. What was his mean score?
Answer:
Jonathan's mean score is:
(87+93+85+62+95)/5
=422/5
=84.4
Mr. Ciullo says he ordered the same amount of bananas each month for his grocery store last year, and the number of pounds ordered each month is a whole number. The produce company says he ordered $6,150 pounds of bananas last year. Does the produce company agree with Mr. Ciullo?
Answer:
No
Step-by-step explanation:
No, the produce company does not agree with Mr. Ciullo. There are a total of 12 months in a year and Mr. Ciullo claims that he ordered a whole number of bananas each month. Therefore, if we divide the total amount in pounds that the produce company claims that Mr. Ciullo ordered last year by the twelve months in the year then the result should be a whole number...
6,150 lbs. / 12 = 512.50 lbs.
We can see that the produce company is claiming that Mr. Ciullo ordered 512.50 pounds per month last year, which is not a whole number and therefore contradicting Mr. Ciullo's statement.
Help pls i can’t solve this
Answer:
Step-by-step explanation:
5) 121/11 = 11 meals / day
6) 50/10 = 5 min/call
7) 91/7 = 13 books / week
8) 1275 ants/5 ant holes = 255 ants / ant hole
Dora has 20 donuts. she divides those 20 donuts into halves. then she divides those halves into fifths. then she divides those fifths into thirds. how many pieces does she have now?
Answer:
270
Step-by-step explanation:
if u cut a donut in too halfs there are more donuts so 20* 2 is 40 then multiply 40 by 5 since she cuts it into fifths an u get 90 then multiply 90 by 3 since its thirds an you get 270
Answer:
600
Step-by-step explanation:
20 divided by 1/2 is 40
40 divided by 1/5 is 200
200 divided by 1/3 is 600
What are some ideas for my girlfriends Christmas present of little sayings I can put in a box in a box in a box in a box. For example, if I got my girlfriend a nose ring in one of the boxes, I could say nobody “nose” me like you do. PLEASE HELP, I NEED IDEAS ASAP, thank you!
Step-by-step explanation:
I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry
10/3 = x divided by -5/2
x = ?
Answer:
-4/3
have a nice day/night
Answer:
x = -25/3
Step-by-step explanation:
x divided by -5/2 is equal to x multiplied by -2/5
therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]
cross-multiply: -6x = 50
x = -50/6 or -25/3
how many 1/6 cup servings are in 3/4 cups of pop corn
Answer:
4 1/2 cup servings
Step-by-step explanation:
Answer:4 1/2 cup servings
Step-by-step explanation: 3/4 / 1/6 cups =3/4 *6= 18/4=4
(2x2 – 18)(x+3)(2 – 3) = 2x4 – 36x2 + 162
Answer:
X=4
Step-by-step explanation:
I'm took lazy to explain it step by step sorry, but I'm positive that's the correct answer.
Answer:
4
Step-by-step explanation:
(4 - 18)( x+ 3) (-1)= 8 - 72 +162
-14(x+3)(-1) = 98
14(x+3) =98
x+3 = 98÷14
x+3=7
x= 7-3=4
Please help me on this
Answer:
PAGE 1
8.) d
9.) b
PAGE 2
6.) b
7.) d
PAGE 3
4.) c
5.) a
PAGE 4
1.) c
2.) c
3.) a
PAGE 5
10.) b
11.) d
Step-by-step explanation:
PAGE 1
8.) x - 20 + x + 10 = 180 (collect like terms)
2x - 10 = 180 (add 10 on both sides)
2x = 190 (divide by 2 on both sides)
x = 95
9.) 2y + y = 180 (collect like terms)
3y = 180 (divide by 3 on both sides)
y = 60
x = y ----> x = 60
PAGE 2
6.) 16x - 6 = 90 (add 6 on both sides)
16x = 96 (divide by 16 on both sides)
x = 6
7.) 5x + 30 = 7x (subtract 5x on both sides)
30 = 2x (divide by 2 on both sides)
15 = x
PAGE 3
4.) <8 and <16 are corresponding angles
5.) 180 - 130 = 50
PAGE 4
1.) HD and GE are skew lines
2.) AC, EG, and BD are parallel to FH
3.) EF, GH, and BF are perpendicular to FH
PAGE 5
10.) | and || only are the only ones correct
11.) l || m, by the Converse of the Consecutive Interior Angles Theorem.
b/c the two angles equal 180 together and one angle is on line l and the other is on line m. This shows they're parallel.
Hope this helps ya!!
What property is 4x + 40 - 40 = 16 - 40
Answer:
Step-by-step explanation:
or,4x + 40 - 40 (subtract and the answer will be o ; no valueit will get )= 16-40
or, 4x = 16-40
therefore, 4x = 16-40
now,
we can also do,
or, 4x= 16-40
or, 4x= -14
i think it will be helpful, plz mark as brainlist plz..
Please help!!!! Will give Brainliest!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1. after 7 hours, you watch 1 movie
2. after 0 hours, youve watched 0 movies
3. after 14 hours, you have watched 2 movies
What is the value of x y and z
I’ll give brainliest
Answer:
x=2
length y = 4
angle Z = 45
Step-by-step explanation:
x^2 = 2x^2 - 4
put like terms on same sides, lets subtract x^2 to both sides
0 = x^2 - 4
add 4 to both sides
4 = x^2
square root of 4 = 2
x=2
since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2
y = x^2
y = 4
Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.
please give thanks by clicking the heart button! :)
Please help due soon!
Choose ASA, SAA, or neither
to describe this figure.
A
B
С
ASA
SAA
neither
Answer:
SAA
Step-by-step explanation:
SAA is correct
I will give u the Brainly thingy HelPPpppppP ASAP I’m timeeddd and EXPLAIN
Answer:
The first one
The second one
The third one
The fifth one
Step-by-step explanation:
PLEASE HELP 30 POINTS
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be? He estimated that he had about $7 worth of groceries. He estimated that he had about $9 worth of groceries. He estimated that he had about $10.30 worth of groceries. He estimated that he had about $10.40 worth of groceries.
Answer:
3 + 1(3) +3 (the dollar amounts)
3+3+3
9
0.5 + 0.1 +0.1 +0.1 +0.5 (the cents)
1.3
9 +1.3 = 10.30 worth of groceries using front end estimation
3.Salem bought a car for AED 60000 and spent AED5000 on its accessories .Later he sold the car for AED 70000. Find his profit % or loss%
Answer:
7.69%
Step-by-step explanation:
Explanation of the answer is given below:
Car bought for AED 60,000
Accessories for AED 5,000
Total AED 65,000
Car sold for AED 70,000
AED 65,000 - AED 70,000 = AED 5,000
AED 5,000 / 65,000 * 100
= 7.69% Profit
The correct answer is that Salem made a profit of 7.69% on his car.
PLEASE HELP URGENT!!! 10 POINTS PLUS BRIANLIEST IF CORRECT!! PLEASE YALL :// HELP!!
Answer:(-4,-6)
Step-by-step explanation:
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form I’ll mark you brainlist I’ll mark you brainlist
Answer:
y=5x+12
Step-by-step explanation:
Starting with the components of slope intercept form y=mx+b
m is you rate of change and b represents your y intercept
This would give you in your case y=5x+b, but we still need to solve for b.
So given your (x,y) point you plug it into y=5x+b giving you:
-3 = 5 (-3) + b
then some easy multiplication and addition
-3 = -15 + b
get the constant on the oppisite side of your variable b
-3 + 15 = -15 + 15 + b
This results in b = 12
Now rewrite the formula with b = 12
Which TADA! gives you
y = 5x + 12
Does someone knows how to solve this. Step by step?
Completing the Square:
x^2-6x=15
Answer:
[tex]x_1=3+2\sqrt{6}[/tex]
[tex]x_2=3-2\sqrt{6}[/tex]
Step-by-step explanation
[tex]\rule{100mm}{0.5mm}[/tex]
[tex]x^2-6x=15[/tex]
[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]
[tex]x^2-6x+3^2=15+3^2[/tex]
[tex]x^2-6x+9=15+9[/tex]
[tex](x-3)^2=24[/tex]
[tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]
[tex]x-3=\pm2\sqrt{6}[/tex]
[tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]
[tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]
[tex]\rule {100mm}{0.5mm}[/tex]
Whoever gets the specific and correct answer will get Brainlist.
Goooood luckkk <3
Answer:
$6 per hour
Step-by-step explanation:
30 for 5 hours
$6 per hour
exposed clout chaser
Answer:
lol thanks for the free points
Step-by-step explanation:
Answer:
Exposed UwU
Have a great day
Use the table to write the rule (equation) for the relationship between x
and y.
х
у
0
4
1
5
2.
6
Answer:
y = x + 4 or x - y + 4 = 0
Step-by-step explanation:
The relation between "x" and "y" is linear.
Slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{6-5}{2-1}[/tex] = 1
Coordinates of y-intercept of the line (0, b) = (0, 4)
Slope-intercept form of a line equation is y = mx + b
The rule (equation) of line is y = x + 4
or x - y + 4 = 0 (in standard form)
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
√39
Step-by-step explanation:
use the Pythagorean Th because the triangle is right
8² = 5² + x²
8²-5² = x²
√64-25 = x
√39 =x