Answers
Answer:
Just to recap, an equation has no solution when it results in an incorrect "equation".
For example:
Equation: x+3 = x+4
Subtract x: 3 = 4???
But clearly, 3 is not equal to 4, so this equation has NO SOLUTION.
Now onto our problem:
13y+2-2y = 10y+3-y
11y+2 = 9y+3
2y=1
y=1/2
9(3y+7)-2 = 3(-9y+9)
27y+61 = -27y+27
54y = -34
y = -34/54
32.1y+3.1+2.4y-8.2=34.5y-5.1
34.5-5.1=34.5y-5.1
5.1=5.1
infinite solutions
5(2.2y+3.4) = 5(y-2)+6y
11y+17 = 11y-10
17 = -10??
That's not true, so the option "5(2.2y+3.4) = 5(y-2)+6y" has no solution.
Let me know if this helps
Related Questions
I need help! I will give brainliest, if correct!
For a certain value of $k$, the system
x + y + 3z = 10,
-4x + 3y + 5z = 7,
kx + z = 3
has no solutions. What is this value of k?
Answers
kx + z = 3 means z = 3 - kx. Substitute this into the first two equations:
x + y + 3 (3 - kx) = 10 ==> (1 - 3k) x + y = 1
-4x + 3y + 5 (3 - kx) = 7 ==> (-4 - 5k) x + 3y = -8
Multiply through the first equation by -3 :
-3 ((1 - 3k) x + y) = -3 (1) ==> (-3 + 9k) x - 3y = -3
Add this to the second equation to eliminate y :
((-3 + 9k) x - 3y) + ((-4 - 5k) x + 3y) = -3 + (-8)
(-7 + 4k) x = -11
Normally, you would solve for x by dividing both sides by -7 + 4k. But you can't do that if this turns out to be equal to 0, which happens for
-7 + 4k = 0 ==> k = 7/4
Answer:
k = 7/4
Step-by-step explanation:
if a gallon of milk costs $2.49 how much will 3 1/2 gallons cost
Answers
2.49 x 3 1/2 = 8.715
Are the ratios 6:3 and 2:1 equivalent?
Answers
is 3 so it would be equivalent
Write the equation in slope-intercept form. y=2(x−8)+4x
Answers
Answer:
y=6x-8
Step-by-step explanation:
y=2(x-8)+4x
y=2x+4x-8, y=6x-8
51: Y = 3: 5 value of Y
Answers
Answer:Y=25:3
Step-by-step explanation:
Answer:
51 : 85 = 3 : 5Step-by-step explanation:
51 : Y = 3 : 551 ÷ 17 = 3•To find the Y we should multiply 5 by 17 5 × 17 = 8551 : 85 = 3 : 5•Checking51 ÷ 17 = 3 ; 85 ÷ 17 = 5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
I need help plotting this on number line
Answers
Answer:
Step-by-step explanation:
Help me with this please
Answers
Answer:
B
Step-by-step explanation:
the data value of x is 0 the the value would be .75 times that by 2 get 1.25
An integer is eight less than three times another if the product of two integers is 35 then find the integers
Answers
8x < 3x =35
Less means -
So it will be
8x -3x =35
5x = 35
Divide both side by 5
x = 35 divided by 5
x = 7
So that it will be that
8(7) - 3(7) = 35
56 - 21
= 35
So the integers are
a) 56 and
b) 21
Pls thank me byeee
The figure to the right shows the graphs of the cost and revenue functions for a
company that manufactures and sells small radios. The solid red line represents the
revenue function, R(x) = 55x; the dashed blue line represents the cost function,
C(x) = 15,000 + 30x. Use the formulas to find R(300) - C(300). Describe what this means for the company
(Type integers or decimals.)
R(300) - C(300) = ???
which represents a $ ???
loss for the company
B. R(300) - C(300) = ??
which represents a ??
gain for the company
Answers
From the formula R(300) - C(300) we understand that is loss of 7500 for the company.
The given functions are R(x) = 55x and C(x) = 15,000 + 30x.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is R(300) - C(300).
Now, R(300) = 55 × 300 = 16500
C(300) = 15,000 + 30 × 300
=15,000 + 9000
= 24,000
Now, R(300) - C(300) = 16500-24000
= -7,500
Therefore, from the formula R(300) - C(300) we understand that is loss of 7500 for the company.
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Find the surface area?
Answers
Answer:
Surface area of prism is 48km^2
Please help urgently
Answers
Explanation:
Prove that triangle PQS is congruent to triangle RSQ
PS = QR (given)
PQ = RS (given)
Angle PQS = Angle QSA
Therefore, triangle PQS and triangle QSA is congruent (SAS).
3. The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width of the rectangle.
Answers
Length: sqrt13 + 4
Width: sqrt13
Step-by-step explanation:
Denote the width as x, then the length is x+4. The area of the rectangle will be x(x+4), and the perimeter will then be 4x +8. Hence, you can write the equation x(x+4) - 5 = 4x+8. Solving, you get x = sqrt13.
PLEASE I HAVE AN HOUR Why might you use the distributive property to simplify 3(30-2)
Answers
Without the distributive property:
3 ( 30 - 2 ) =
3 ( 28 ) =
84.
I’m going to assume that you don’t know 3 ( 28 ) right off of the top of your head, so you can do:
3 ( 30 ) - 3 ( 2 ) =
90 - 6 =
84.
This way is much easier and less time consuming because you can do this computation in your head.
The length of a shoe is 25 centimeters. How long is the shoe in meters? (Note: 1 meter = 100 centimeters). pls help
Answers
Answer:
0.25meters
As 100cm=1metre
so, 25cm=25/100meter
=0.25metre
Step-by-step explanation:
If you like my answer than please mark me brainliest
The answer is 0.25 meters
A survey is conducted to determine the percentage of students at state universities who change their major at least once. In a study of 100 students 78% indicated that they graduated with a major different from the one with which they entered college. Determine a 90% confidence interval for the percentage of students who change their major.
Answers
Answer:
Step-by-step explanation:
Confidence Level - "P" values
90% 1.645
Confidence Interval - "P" values
(0.7119 , 0.8481 )
Can someone please help with this equation thank you
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
Vertical multiplication of polynomials is virtually identical to vertical multiplication of integers. The "place value" associated with a column is the power of the variable. When adding within a column, there is no "carry" to the next column the way there is with integers.
Here, the correct answer choice can be found by looking at the coefficients of x^2 and of x.
There’s a pic of the question, answer fasterrrrr pleaseeeee
Answers
Answer:
Sorry this is NWEA so I want you to try and figure it out on your own, hint: use subtraction.
Step-by-step explanation:
B for the second one.
3. Find the least common denominator for the group of denominators using the method of prime numbers. 45, 75, 63
Answers
We have to find LCM
3 | 45,75,63
3 | 15,25,21
5 | 5,25,7
5 | 1,5,7
7 | 1,1,7
LCM=3×3×5×5×7=1575
The least common denominator for the group of denominators using the method of prime numbers is 1575.
What is least common multiple?LCM stands for Least Common Multiple. It is a method to find the smallest common multiple between any two or more numbers. A factor is one of the numbers that multiplies by a whole number to get that number.
For the given situation,
The numbers are 45, 75, 63
Prime factors of 45 = [tex]3,3,5[/tex]
Prime factors of 75 = [tex]3,5,5[/tex]
Prime factors of 63 = [tex]3,3,7[/tex]
Then the LCM can be found by, first take the common factors then multiple the remaining factors as,
⇒ [tex](3)(3)(5)(5)(7)[/tex]
⇒ [tex]1575[/tex]
Hence we can conclude that the least common denominator for the group of denominators using the method of prime numbers is 1575.
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PLEASE HELP
4/9w = -8
Show your work in details if you can, I have a hard time understanding this.
Answers
Multiply both sides by 9
4w = -72
Divide both sides by 4
W= -18
Or. Multiply both sides by 9/4
X= -18
[tex] \begin{cases}\large\bf{\blue{ \implies}} \tt \: \frac{4}{9} \sf \: w \: = \: - 8 \\ \\ \large\bf{\blue{ \implies}} \tt \: \frac{4 \sf \: w}{9} \: = \: 8 \\ \\ \large\bf{\blue{ \implies}} \tt 4 \sf \: w \: = \: 9 \: \times \: 8 \\ \\ \large\bf{\blue{ \implies}} \tt 4 \sf \: w \: = \: 72 \\ \\ \large\bf{\blue{ \implies}} \tt \sf \: w \: = \: \cancel\frac{72}{4} \\ \\ \large\bf{\blue{ \implies}} \tt \sf \: w \: = \: 18 \end{cases}[/tex]
8th class maths reader answer
Answers
Answer:
plz complete question
so I can help you.
Given: △PST, Area of △PST=71.24 PS=15, Pt=13 Find: m∠P (Please help!!!)
Answers
Answer:
46.94 degrees (approx)
Step-by-step explanation:
The diameter of a cone is 34 ft. the height is 16 ft what is the volume in cubic ft?
Answers
Answer:
4842.24 cubic feet
Step-by-step explanation:
Use the formula for the volume of a cone, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
The diameter of the cone is 34 ft, so the radius is 17 ft.
Plug in the radius and height into the formula, and solve for the volume:
V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
V = [tex]\pi[/tex](17)²[tex]\frac{16}{3}[/tex]
V = [tex]\pi[/tex](289)[tex]\frac{16}{3}[/tex]
V = 4842.24
So, the volume of the cone is 4842.24 cubic feet
Answer:
4,841.32 ft³.
Step-by-step explanation:
Let’s assume that this is a right circular cone and that the radius of the cone is r.
For our problem, r = (1/2)d = (1/2)34 = 17.
The volume of the cone is:
V = (1/3)pi r^2 h, where r is the radius and h is the height.
So, V = (1/3)pi(17^2)16 = 4,841.32 ft³.
If f(x) = x2 + 9x – 14 and g(x) = x2 – x + 3, find (f – g)(x).
Answers
Answer:
10x-17
Step-by-step explanation:
f(x) = x^2 + 9x – 14
g(x) = x^2 – x + 3
(f – g)(x)=x^2 + 9x – 14 - (x^2 – x + 3)
Distribute the minus sign
(f – g)(x)=x^2 + 9x – 14 - x^2 + x - 3
Combine like terms
=10x-17
What is the maximum value of -4z^2+20z-6?
Answers
Answer:
Hello,
19
Step-by-step explanation:
2 methodes:
1)
[tex]y=-4x^2+20x-6\\\\=-4(x^2-5x)-6\\\\=-4(x^2-2*\dfrac{5}{2}*x+\dfrac{25}{4} ) +25-6\\\\=-4(x-\frac{5}{2} )^2+19\\\\Maximum\ =19 \ if\ x=\dfrac{5}{2} \\[/tex]
2)
y'=-8x+20=0 ==> x=20/8=5/2
and y=-4*(5/2)²+20*5/2-6=-25+50-6=19
finding maximums/minimums in quadratic equations:
The maximum value is 19
We want to find the maximum value of:
y = -4z^2+20z-6
Here, you can see that we have a quadratic equation with a negative leading coefficient.
This means that the arms of the graph will go downwards. From this, we can conclude that the maximum will the at the vertex (the highest point).
Remember that for a general equation like:
y = a*x^2 + b*x + c
The x-value of the vertex is:
x = -b/(2a)
(you can see that the variable is a different letter, that does not matter, is just notation)
Then for our equation:
y = -4z^2+20z-6
The z-value of the vertex is:
z = -20/(2*-4) = -20/-8 = 5/2
Then the maximum of the equation:
y = -4z^2+20z-6
is that equation evaluated in z = 5/2
So we get:
y = -4*(5/2)^2 + 20*(5/2) - 6 = 19
The maximum value is 19
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Find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk. The mixture should contain ___ quarts of the 4% butterfat milk.
Answers
Answer:
50
Step-by-step explanation:
The amount of 4% butterfat milk is equal to x quarts , When 1% butterfat milk is equal to 75-x. The amount of butterfat in 4% butterfat milk is x/100*4=0.04x
The amount of butterflat in 1% butterfat milk is (75-x)/100= 0,75-0.01x
1The amount of butterflat in 75 quarts of 3% butterfat milk (our desired mixture) is 75/100*3= 2.25
This quantity (2.25) is the sum of butterfat from 4% butterfat milk and 1% butterfat milk(the sum of 0.04x and 0.75-0.01x)
the equation is
0.04x+0.75-0.01x=2.25
0.03x=1.5
x=50
If Q(x) = x2 – 2 – 2, find Q(-3).
Answers
Answer: A (10)
Step-by-step explanation:
Plug in Q(-3) into formula x^2-x-2
(-3)^2-(-3)-2= 9+3-2
=10
If 1/2 of a loaf of brown bread costs R6,how much will 2 halves cost
Answers
Step-by-step explanation:
1/2 is equal to R6.
So 2 halves mean R6+R6=R12
Or
R6×2= R12
Answer:R12
the x coordinates of the point where 2y-x=10 intersect the line y=3x
Answers
Answer:
5
Step-by-step explanation:
2y=10+x
y=3x
Equalizing both sides:
10+x=3x
10=3x-x
10=2x
x=5
A company makes cylindrical crackers that have a cylindrical hole in the middle.
The diameter of the entire cracker is 16\text{ mm}16 mm16, start text, space, m, m, end text, the diameter of the hole is 8\text{ mm}8 mm8, start text, space, m, m, end text, and the cracker is 18\text{ mm}18 mm18, start text, space, m, m, end text long.
What is the volume of the material used in each cracker?
Round to the nearest cubic millimeter.
Answers
Answer:
Its 2714
Step-by-step explanation:
Khan Academy
The volume of the material that would be needed for each cylindrical cracker is approximately: 2,714 mm³ mm³.
What is the Volume of a Cylinder?Volume of a cylinder = πr²h
The volume of the material used for each cylindrical cracker = Volume of entire cylindrical cracker - volume of cylindrical hole
Radius of entire cracker (r) = 16/2 = 8 mm
Height (h) = 18 mm
Volume of the entire cracker = π(8²)(18) ≈ 3,619 mm³
Radius of hole (r) = 8/2 = 4 mm
Height (h) = 18 mm
Volume of the entire cracker = π(4²)(18) ≈ 905 mm³
The volume of the material used for each cylindrical cracker = 3,619 - 905 = 2,714 mm³
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solve it quickly. l follow you make brainlaist. first solve so l
Answers
[tex]5 \frac{2}{3} + 3 \frac{1}{5} \\ \frac{17}{3} + \frac{16}{5} \\ \frac{(17 \times 5) + (16\times 3)}{5 \times 3} \\ \frac{85 + 48}{15} \\ \frac{133}{15} = 8\frac{13}{15} [/tex]
