Answer:
(2, 0)
Step-by-step explanation:
Given the simultaneous equation
2x-y = 4
3x+y = 6
Add both equation
2x+3x = 4 + 6
5x = 10
x = 10/5
x = 2
Substitute x = 2 into equation 1
From1 ;
2x-y = 4
2(2) - y = 4
4 - y = 4
y = 4-4
y = 0
Hence the solution to the system of equation is (2, 0)
Picture is below...........................
Answer:
C or A
thats all i know hope it helps
What is the maximum volume in cubic inches of an open box to be made from a 10- inch by 20-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative.
Answer:
192.5 in³
Step-by-step explanation:
The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.
Thus the volume V = lbh =
V = (20-2x)*(10-2x)*(x)
V = 4x³ - 60x² + 200x
On differentiating, we have dv/dx to be
dv/dx = 12x² - 120x + 200
Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113
This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.
You cut 2.113 inches from each corner to obtain the maximum volume.
The sizes of the cubes are
20 - (2 * 2.113) = 15.774
10 - (2 * 2.113) = 5.774
2.113
The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.
The temperature in Minneapolis changed from -7 °F at 6 A.M. to 7°F at noon. How much did the temperature increase?
Answer:
14 degrees F
Step-by-step explanation:
Answer:
Step-by-step explanation:
from -7 degrees F to 0 are 7 degrees change
from 0 to 7 are also 7 degrees,
in total are 14 degrees in change
Which properties justify the steps taken to solve the system? {2a+7b=03a−5b=31 10a+35b=0; 21a−35b=217 31a = 217 a = 7 2(7)+7b=0 14 + 7b = 0 7b=−14 b=−2 what are each of the steps taken?
9514 1404 393
Explanation:
2a+7b=0 . . . . . . . . given [eq1]
3a−5b=31 . . . . . . . .given [eq2]
10a+35b=0 . . . . . . multiplication property of equality 5×[eq1] = [eq3]
21a−35b=217 . . . . .multiplication property of equality 7×[eq2] = [eq4]
31a = 217 . . . . . . . . addition/substitution properties of equality [eq3]+[eq4]
a = 7 . . . . . . . . . . . . division property of equality (÷31)
2(7)+7b=0 . . . . . . . .substitution property of equality; a=7 in [eq1]
14 + 7b = 0 . . . . . . . properties of real numbers
7b=−14 . . . . . . . . . . addition property of equality; add -14
b=−2 . . . . . . . . . . . . division property of equality (÷7)
Construct quadrilateral with the measurements given below:
Quadrilateral ABCD with AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm
and AC = 7 cm
Answer:
Cevap A şkkı
İyi dersler
Mary ate x pounds of cherries. Leslie ate LaTeX: \frac{6}{9}6 9 more. Write an expression to represent how many pounds of cherries Leslie ate.
Answer:
The expression to represent number of cherries Leslie ate = ( x + [tex]\frac{6}{9}[/tex] ) pound.
Step-by-step explanation:
As given,
Mary ate cherries = x pound
And
Leslie ate [tex]\frac{6}{9}[/tex] more.
⇒Leslie ate cherries = ( x + [tex]\frac{6}{9}[/tex] ) pound.
Graph this function: y+6=1/2(x-1)
Answer:
Hope this helps! Have a great day!
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]
Step-by-step explanation:
Move all terms not containing y to the right side of the equation.
[tex]y = \frac{x}{2}-\frac{13}{2}[/tex]
Rewrite
[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope: [tex]\frac{1}{2}[/tex]
y-intercept: [tex](0, -\frac{13}{2})[/tex]
good luck, hope this helps :)
The ratio of two number is 4:9.When 5 is subtracted from each of them,the new ratio becomes 3:8. Find the numbers.
Answer:
The numbers are 20 and 45
Step-by-step explanation:
Let the two numbers be a and b
The ratio of the two is 4:9
That means;
a/b = 4/9
9a = 4b •••••(i)
secondly;
Subtracting 5 from each gives a ratio of 3:8
(a-5)/(b-5) = 3/8
8(a-5) = 3(b-5)
8a - 40 = 3b - 15
3b - 15 + 40 = 8a
3b + 25 = 8a
a = (3b + 25)/8 •••(ii)
Insert this into 1
9(3b + 25)/8 = 4b
27b + 225 = 32b
32b - 27b = 225
5b = 225
b = 225/5
b = 45
From i;
9a = 4b
9a = 4 * 45
a = 4 * 45/9
a = 20
Anthony went shopping for a new pair of sneakers. Sales tax where he lives is 4%. The price of the pair of sneakers is $37. Find the total price including tax. Round to the nearest cent
Answer:
$38.48
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
Martha spent $12.35 at the local farmer's market. She bought 3 bundles of collards and paid $4.30 for some fruit. How much did each bundle of collards cost?
Answer:
12.35-4.30=8.05
8.05÷3= 2.68333333333333....
≈2.68
Solve 2(x - 5) = 6(x - 1)
Answer:
60
Step-by-step explanation:
so first you multiply 2 times 5 =15 and the we do 15 times six which is 90 and then subtract one and keep subtracting util you get to 60
Answer:
x=-1
Step-by-step explanation:
2(x-5)=6(x-1)
2x-10=6x-6
-4x-10=-6
-4x=4
x=-1
How much will
11. The markup on a restaurant meal is 250%. A meal costs $7.30 to produce.
the customer be charged before tax and tip?
hsdhjdjs
Answer:
2.5t 7.3=18.25
Step-by-step explanation:
250/100,please mark as brilliant
How many kilograms of chocolate will each person get if 4 people share 13 of a kilogram of chocolate equally?
Step-by-step explanation:
hope it helps
plz rate my answer
1. The fare of 12 kg of luggage for a distance of 36km is 24 rupees
How much fare will be charged for a luggage of 18kg for a distance
of 12km?
Answer:
16 rs maybe not sure sry if wrong
1 and 1/3 - 5/6
(ill mark when 2 answers)
(have a good day )
(HELP MEH PLZZ)
Answer:
1 1/3 - 5/6 = 1/2
Step-by-step explanation:
First we will need to make a common denominator on both sides, so since we have the second side divided in six, we can do the same to the first side as shown;
1/3 = 2/6
now this will help us a lot, now all we have to do is take what we can out of the fraction (2/6) out of the first side so it is equal to 0, NOTE this is not a professional way to do it but it helps me a lot;
5/6 - 2/6 = 3/6
this makes it easy all of a sudden, cause now its in a simpler form, we can tell this because we know that 3/6 is equal to 1/2, so now all we have to do is take 1/2 from our 1 that we are left over with, and VWOLA;
1 - 1/2 = 1/2
GRAND TOTAL;
1 1/3 - 5/6 = 1/2
(note: the space between the 1 and the 1/3 indicates that they are two separate numbers, so you dont have to put the 'and' there)
Which of the following interpretations for the given expression is correct?
A.
The sum of 2 and the quotient of 9 and 3.
B.
The product of 2 + 9 and 3.
C.
The quotient of 2 + 9 and 3.
D.
The sum of 2 and the product of 9 and 3.
Answer:
the answer is the quotient of 2+9 and 3
Can someone please check my answer for this function???
Answer:
You're wrong, it's the bottom left
Step-by-step explanation:
x^2-49 is a difference of squares so it factors into (x+7)(x-7) which obviously cancels out with the denominator leaving x-7 left. This is the line you should graph, but keep in that x+7 is still in the denominator so x cannot be equal to -7 which means that this point should be be on the line which leaves the answer to be the one on the bottom left.
the original pattern for dress is 33 3/4 inches long. kimmy needs her dress to be 32 1/2 inches long how much shorter than the pattern does kimmy need to make her dress
Answer: 1 1/4
Step-by-step explanation: 32 1/2 is the same as 32 2/4 so all you have to do is subtract 32 2/4 from 33 3/4 which leaves you with 1 1/4
A box of dried fruit has 80 calories in 5 servings. How many calories are there per serving?
Answer:
16 calories per serving
Step-by-step explanation:
80/5=16 calories per serving
Answer:
16 calories per serving. Hope this helps
Step-by-step explanation:
Enter an equation in the form y = mx + b that represents the function
Answer: no answer c
Step-by-step explanation:
A square cake sits on a circular cake stand. The circular cake stand has a diameter of 24 inches. The cake measures 16 inches on each side. How many square inches of the cake stand are visible?
Answer:
196.12 in^2
Step-by-step explanation:
circular cake stand area=(24/2)^2(3.14)=452.12 in^2
square cake=16x16=256 in^2
452.12-256=196.12 in^2
17. Convert 37/6 to a mixed number.
A. 55/6
B. 6576
C. 6/6
D. 62/3
Answer:
6 1/6.
Step-by-step explanation:
That would be 6 1/6. Because 37/6 = 6 remainder 1, which is 1/6, so 6 1/6.
5 years ago, john was half the age he will be in 8 years. How old is he?
Answer: John is now 18 years old
Step-by-step explanation:
Let, John's age is now x years.
5 years ago, he was (x - 5) years old
In 8 years, he will be (x + 8) years old
By the given condition,
x - 5 = 1/2 (x + 8)
⇒ 2 (x - 5) = x + 8
⇒ 2x - 10 = x + 8
⇒ 2x - x = 8 + 10
⇒ x = 18
Rule: multiply by 2 Pattern: 3,6,12,24,48 Observation: Observation = something similar about the numbers
Step-by-step explanation:
This numerical sequence corresponds to a geometric progression, which occurs when there is a multiplication of the sequence numbers for a common reason whose result will always be the successor number of the numerical sequence.
Like for example:
3,6,12,24,48
The common reason for the geometric progression is the number 2, so the first term of the sequence multiplied by 2 will be equal to the second term of the sequence and so on:
3x2 = 6
6x2 = 12
12x2 = 24
24x2 = 48
It is necessary to emphasize that the ratio of a geometric progression will always be constant and will always be a number other than zero.
Sami has 12 Balloons . 2/3 of them are Green and the rest is Red balloons. What's is the ratio of Green to Red balloons
Perimeter? =
Area? =
Answer:
Your answer is
Area = 16.23
perimeter = 24
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
The height of a doorway is 7 yards. What is the height of the doorway in inches?
The height of the doorway is ____ inches.
Omg pls help in my math. It is 6th grade
Answer:
1. You have to shade 38/100 squares
2. You have to shade 65/100 squares
3. 3/5=15/25, 6/10, 9/15
Un escalador sube 225m de altura. El asenso lo hizo en 3 etapas. En la primera subio un quinto en la, en la tercera un cuarto. ¿cuanto hizo en la segunda?
Answer:
Segunda etapa= 123.75 metros
Step-by-step explanation:
Altura total= 225 metros
En la primera estapa subió el 20% (un quinto):
Primera etapa= 225*0.2= 45 metros
En la tercera etapa subió 25% (un cuarto):
Tercera etapa= 225*0.250 56.25 metros
Ahora debemos determinar cuánto subió en la segunda etapa:
Segunda etapa= altura total - total subido
Segunda etapa= 225 - (45 + 56.25)
Segunda etapa= 123.75 metros
I need help my brain is too small to answer this
Answer:
5/6 or 0.83
Step-by-step explanation:
5 ÷ 6 = 0.83 or 5/6