Answer:
x = -2 , y= -4Step-by-step explanation:
[tex]\begin{bmatrix}2x-y=0\\ x+3y=-14\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:2x-y=0:\quad x=\frac{y}{2}\\\\\mathrm{Subsititute\:}x=\frac{y}{2}\\\\\begin{bmatrix}\frac{y}{2}+3y=-14\end{bmatrix}\\\\\mathrm{Simplify}\\\\\begin{bmatrix}\frac{7y}{2}=-14\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{7y}{2}=-14:\quad y=-4\\\\\mathrm{For\:}x=\frac{y}{2}\\\\\mathrm{Subsititute\:}y=-4\\x=\frac{-4}{2}\\\\\frac{-4}{2}=-2\\\\x=-2,\:y=-4[/tex]
Answer:
(-2,-4)
Step-by-step explanation:
2x-y=0
-2(x+3y=-14)
-2x-6y=28
x terms cancel
-y+-12y=-13y
0+28=28
-7y=28
28/-7
y=-4
plug into the orginal equation
2x-(-4)=0
simply: 2x+4=0
elimante the 4
2x=-4
divide by 2
x=-2
Is 9 a natural number?
Answer: yes
Step-by-step explanation:
Answer:
I think so
Step-by-step explanation:
I think all numbers are technically natural
What is the square of 9?
Answer:
3
Step-by-step explanation:
sqrt9 = 3
A manufacturer of tennis balls has a daily cost of C(x) = 200 − 10x + 0.01x
2
, where C(x) is the
total cost in dollars and x is the number of tennis balls produced. The manufacturer has to
produce between 1500 and 3000 balls. What number of tennis balls will produce the minimum
cost?
Answer:
1000 tennis balls will produce the minimum cost
Step-by-step explanation:
Daily cost equation of tennis ball : [tex]C(x)=200-10x+0.01x^2[/tex]
Where C(x) is the total cost in dollars
x is the number of tennis balls produced
We are supposed to find number of tennis balls will produce the minimum
cost.
Lead coefficient = 0.01
The lead coefficient is positive, the parabola opens up.
Thus ,the minimum is at the vertex.
[tex]x=\frac{-b}{2a}[/tex]
So, [tex]x= \frac{10}{0.01}\\x=1000[/tex]
Substitute the value of x in given equation:
C(x)=200-10(1000)+0.01(1000)^2
C(x)=200
Hence 1000 tennis balls will produce the minimum cost
can anyone help me out with this? If possible, please do all of them
Answer:
this is all I could find
- 2(w+6) +9< - 15
I'm make you brainliest
z = 73i - 32
What is the real part of z ?
What is the imaginary part of z?
Answer:
real: -32imaginary: 73Step-by-step explanation:
The real part is everything that does not multiply i. The imaginary part is everything that does multiply i.
Conventionally, the real part is written first:
z = -32 +73i
Re(z) = -32
Im(z) = 73
A Blue Viper can travel 18 2/5 miles on 4/5
tank of gas. A Red Rocket can travel 17 2/5 miles on 3/4 tank of gas. Which car can travel
further on one tank of gas?
Answer:
A Blue Viper
Step-by-step explanation:
A Blue Viper can travel 18 2/5 miles on 4/5 tank of gas.
It can travel on full tank:
(18 2/5)*1/5 + 18 2/5 = 92/5*1/5 + 92/5 = 92/5*6/5 = 552/25 = 22.08 milesA Red Rocket can travel 17 2/5 miles on 3/4 tank of gas.
It can travel on full tank:
(17 2/5)*1/4 + 17 2/5 = 87/5*1/4 + 87/5 = 87/5*5/4 = 87/4 = 21.75 milesA Blue Viper can travel further as:
22.08 > 21.75-78 divided by (-1.3)
Answer:
60
Step-by-step explanation:
Simplify 4(5x - 6) - 4(2x + 1) 12x - 5 12x - 20 12x - 28
Answer:
12x -28
Step-by-step explanation:
4(5x - 6) - 4(2x + 1)
Distribute
20x -24 -8x -4
Combine like terms
12x -28
Haley had 2 blue marbles, 2 red marbles, and 4 green marbles. She gave 1 4 of her marbles to Amy and 2 4 of her marbles to Sue. What is the total number of marbles that Haley gave to Amy and Sue?
List at least three shapes, other than pentagons, in the table. If the shape is a polygon, indicate whether the shape is regular or irregular. Find the number of times that the shape will map back on to itself as the shape rotates 360° about its center. Also, note how many degrees the shape has rotated each time it maps back onto itself.
Answer:
See below
Step-by-step explanation:
See attached table
Regular polygon with n sides can map onto itself n times
It will rotate 360°/n about its center every time and will map onto itself
Examples are in the attached table
Answer:
PLATO
Step-by-step explanation:
Select all the statements about the number -3 that are true.
It is an integer.
It is an irrational number.
It is a rational number.
It is a whole number.
It is a natural number.
Answer:
It is a rational integer.
Step-by-step explanation:
'-3' is rational. It could be written as [tex]\frac{-3}{1}[/tex].
It is also a integer. Integers include all whole numbers and negative numbers without a fraction or a decimal.
Whole and natural numbers are only positive values. And since '-3' could be written as a fraction, it is not irrational.
'-3' is a rational number and an integer.
Hope this helps.
Evalute this expression: -4y + 7y - 10 + 3
Answer:
3y-7
Step-by-step explanation:
-4y + 7y - 10 + 3
Combine like terms
-4y + 7y - 10 + 3
3y -7
In the diagram, 1 inch represents 20 feet
Which are the actual dimensions of the
family room?
Answer: 10 Feet by 15 Feet
Step-by-step explanation:
2z-1= -9+ z i need the answer RIGHT NOW
Answer:
z = -8
Step-by-step explanation:
I'm guessing you want to find out what z is equal to, so here you go.
2z - 1 = -9 + z
2z = -8 + z
z = -8
Answer:
z = -8
Step-by-step explanation:
let's simplify the equation by getting the like terms together.
2z-1 = -9+z
first get the z's on the same side:
2z-z-1 = -9
z-1 = 9
then the constants:
z = -9+1
z = -8
у=x+5 3x+y=25 substitution
Answer:
(5,10)
Step-by-step explanation:
So we have the system of equations:
[tex]y=x+5\\3x+y=25[/tex]
To solve, we can use substitution.
Substitute the first equation into the second:
[tex]3x+y=25\\3x+(x+5)=25[/tex]
Combine like terms:
[tex]4x+5=25[/tex]
Subtract 5:
[tex]4x=20[/tex]
Divide by 4:
[tex]x=5[/tex]
Now, substitute this into the first equation:
[tex]y=x+5\\y=5+5[/tex]
Add:
[tex]y=10[/tex]
So, our answer is (5,10)
And we are done :)
if x=2y+1 what is th e value of 10y-5x
[tex]x=2y+1[/tex]
what is [tex]10y-5x[/tex]?
all you gotta do is substitute the value of [tex]x[/tex] in the equation:
[tex]x=2y+1\\10y-5(2y+1)[/tex]
now solve for [tex]y[/tex]:
[tex]10y-5(2y+1)\\10y-10y-5=-5[/tex]
so the value of [tex]10y-5x =[/tex] [tex]\boxed{-5}[/tex]
What is the value of x? Enter your answer in the box.
Answer:
I think the value of x might be 127°
In general, the value measured by the horizontal axis is called the ________
variable.
Answer:
independent
Step-by-step explanation:
We put the independent variable on the x axis ( or horizontal) and the dependent variable on the y axis ( or vertical)
Answer:
independent
Step-by-step explanation:
please help me solve this problem!!!
Answer:
w = 9
Step-by-step explanation:
We can use ratios to solve
2 3
---- = ------
6 w
Using cross products
2w = 3*6
2w = 18
Divide by 2
w = 9
Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*35 (Choice C) C 0.5* 0.35 (Choice D) D 0.05*35 (Choice E) E 5/10*35
Answer:
B and D
Step-by-step explanation:
5% of 35 can be represented as 5% [tex]\cdot35[/tex].
To find equations that make this work, we need to find different ways to represent 5%.
5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.
So, [tex]\frac{5}{100}[/tex]. Multiplying by 35 gets us [tex]\frac{5}{100}\cdot35[/tex]
This means that Choice B is correct.
Another way to represent 5% is as a decimal.
We already know that the fraction form of 5% is [tex]\frac{5}{100}[/tex]. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.
0.05
So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us [tex]0.05\cdot35[/tex], so choice D works too.
Hope this helped!
Answer:
The answer is option D and BStep-by-step explanation:
To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number
So we have
5 percent of 35 is written as
[tex] \frac{5}{100} \times 35 \\ = \frac{1}{20} \times 35 \\ = \frac{7}{4} [/tex]
We have the answer as
1.75
From the options the one that has the same value as the above answer are
0.05 × 35 and 5/100 × 35
Hope this helps you
What is the simplest form of 4^square root of 13 times 4^square root of 13 times 4^square root of 13?
Answer:
[tex]832 \sqrt{13} [/tex]
Step-by-step explanation:
This question means
[tex]4 \sqrt{13} \times 4 \sqrt{13} \times 4 \sqrt{13} [/tex]
Lets solve it in simplest way
[tex](4 \sqrt{13} {)}^{3} [/tex]
[tex]64 \times \sqrt{13} \times \sqrt{13} \times \sqrt{13} [/tex]
[tex]64 \times \sqrt{139} \times \sqrt{13} [/tex]
[tex]64 \times 13 \times \sqrt{13} [/tex]
[tex]832 \sqrt{13} [/tex]
I hope u like it ❤️
cooment me for any question
4+3(15-2^(3)) Simplify the equation....
Answer:
25Step-by-step explanation:
[tex]4+3\left(15-2^3\right)\\\\3\left(15-2^3\right)=21\\\\=4+21\\\\=25[/tex]
Answer:
25
Step-by-step explanation:
4+3(15-2^(3)
4+3(15-(2*2*2)
4+3(15-8)
4+3(7)
4+21=25
Can someone please help me with 1-9 Sorry 25 points is all I have
Answer:
see below
Step-by-step explanation:
5.
VW = 4x - 20
UW = 6X - 35
UV = 19
find x to get UW
UV + VW = UW
19 + 4x - 20 = 6x - 35
x = 17
VW = 4(17) - 20
VW = 48
UW = 6(17) - 35
UW = 67
----------------------------------------------------
6.
HJ = 7x - 27
HI = 3x - 5
IJ = x - 1
find the value of x
HI + IJ = HJ
3x - 5 + x - 1 = 7x - 27
x = 7
----------------------------------------------------
7.
BC = 4x - 29
CD = 5x - 9
BD = 7x - 10
find each value
BC + CD = BD
4x - 29 + 5x - 9 = 7x - 10
x = 14
BC = 4(14) - 29
BC = 27
CD = 5(14) - 9
CD = 61
BD = 7(14) - 10
BD = 88
----------------------------------------------------
8.
BD = BC
BD = 5x - 26
BC = 2x + 1
AC = 43
find AB
BD = BC
5x - 26 = 2x + 1
x = 9
AB + BC = AC
AB + 2(9) + 1 = 43
AB = 24
----------------------------------------------------
9.
LK = MK
LK = 7x - 10
KN = x + 3
MN = 9x - 11
KJ = 28
find LJ
MK + KN = MN
7x - 10 + x + 3 = 9x - 11
x = 4
KJ + LK = LJ
28 + 7(4) - 10 = LJ
LJ = 46
please help me, i will give 20 pts and choose brainlest too!
Answer:
ABC = 36 , DBC = 44
Step-by-step explanation:
(7x+2) + (7x -6) = 8=
14x -4 = 80
14x = 84
x = 6
The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be represented by (x−4). What are the dimensions of this rectangle in millimeters?
Answer:
The dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2(L + W)
= 2L + 2W
The perimeter = 46 mm
L = 3x + 3
W = x - 4
P = 2L + 2W
46mm = 2(3x + 3) + 2(x - 4)
46 = 6x + 6 + 2x - 8
Collect like terms
46 +8 -6 = 6x + 2x
48 = 8x
x = 48/8
x = 6
Since the Length = 3x + 3
= 3(6) + 3
= 18 + 3
= 21mm
Since the Width = x - 4
= 6 - 4
= 2mm
Therefore, the dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
4x2 + 3x - 6
Label the terms in the expression as constant, linear, and quadratic.
A) constant: -6; linear: 3x; quadratic: 4x2
B) constant: 3x; linear: -6; quadratic: 4x2
C) constant: 4x2 ; linear: 3x; quadratic: -6
D) constant: -6; linear: 4x2 ; quadratic: 3x
Name a positive or negative number to represent a drop of 10°F in the temperature.
cosθ=0.5 (to nearest degree)
Step-by-step explanation:
Hey, there!!
Given,
cos theta = 0.5
To convert it into angle, you have to take cos to right side making it (cos inverse).
Therefore, theta = cos inverse (0.5)
= 60°.
Hope it helps......
What is the solution set for 5x – 1 < 7x - 47
Answer:
x > 23
Step-by-step explanation:
5x – 1 < 7x - 47
Add 1 to -47, you get -46.
5x < 7x - 46
Subtract 7x from 5x.
-2x < -46
Multiply both sides to reverse the inequality.
2x > 46
Divide both sides by 2.
x > 23