a) c + y = 10 + 11 = 21
b) q + b + r = -14 + (-7) + (-13) =
= -(14 + 7 + 13) = -34
c) 8x + 3z = 8 · 9 + 3 · 4 = 72 + 12 = 84
d) 6a + 5b = 6 · (-1) + 5 · (-3) = -6 - 15 = -21
e) -9y + 2z = -9 · (-5) + 2 · (-7) = 45 - 14 = 31
f) -3t + 4y + s = -3 · 8 + 4 · (-2) + (-2) =
= -24 - 8 - 2 = -(24 + 8 + 2) = -34
g) y² + c = 4² + 7 = 4 · 4 + 7 = 16 + 7 = 23
h) a² + x = (-10)² + (-8) = 100 - 8 = 92
i) b + 2y² = 2 + 2 · 6² = 2 + 2 · 36 =
= 2 + 72 = 74
j) 3y² - 3z = 3 · 6² - 3 · (-7) = 3 · 36 + 21 =
= 108 + 21 = 129
Final one for the day
Answer:
x = -4
Step-by-step explanation:
2(x-8):
2(-4-8) = 2 (-12) = -24
x + 5x:
-4 + 5 (-4) = -4 + (-20) = -4 - 20 = -24
Since -24 = -24, x = -4 makes the equation true
Bacteria of species A and species B are kept in a single environment, where they are fed two nutrients. Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient. Each bacterium of species A requires 4 units of the first nutrient and 5 units of the second, and each bacterium of species B requires 1 unit of the first nutrient and 6 units of the second. What populations of each species can coexist in the environment so that all the nutrients are consumed each day?
Answer:
4570 species of the type A and 1540 species of the type B.
Step-by-step explanation:
A:
1st: 4 units
2nd: 5 units
B:
1st: 1 unit
2nd: 6 units
A=x, B=y
4x + 1y = 19820 units of the first nutrient
5x + 6y = 32090 units of the second nutrient
5x + 6*(19820-4x) = 32090.
32090 - 6(19820-4x)
x= ------------------------------------- = 4570
5-24
y = 19820 - 4*4570 = 19820 - 18280 = 1540.
ANSWER: 4570 species of the type A and 1540 species of the type B.
Hopes this solves it.
The populations of each species can coexist in the environment so that all the nutrients are consumed each day are 4530 and 10600
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given;
Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient
2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available
Now,
Let the number of bacteria of Specie A and Specie B be x and y respectively;
To find : Number of Bacteria 1 and Bacteria 2
Nutrient 1 Constraint Equation : 4x + y = 19660
Nutrient 2 Constraint Equation : 5x + 6y = 31890
Putting the value of y from 1st equation in 2nd equation;
5x + 6 (19660 - 4x) = 31890
5x + 117960 - 24x = 31890
117960 - 31890 = 19x
19x = 86070
x = 86070 / 19 = 4530 { Bacteria A}
Putting the value of x in 1st equation;
2 (4530) + y = 19660
9060 + y = 19660
y = 19660 - 9060= 10600{Bacteria B}
Therefore, the solution of equations will be 4530 and 10600
To learn more about simultaneous equations :
brainly.com/question/16763389
#SPJ2
(x+3)(x-5)-(4x+1)(1-4x)=17x^
Answer: [tex]\boxed{Sol=\{\dfrac{7}{4} \}}\\[/tex]
I suppose 17x^ means 17x².
and that we must solve the equation.
Step-by-step explanation:
[tex](x-3)(x-5)-(4x+1)(1-4x)=14x^2\\\\x^2-3x-5x+15+(4x+1)(4x-1)=17x^2\\\\x^2-8x+15+16x^2-1=17x^2\\\\-8x+14=0\\\\8x=14\\\\x=\dfrac{7}{4} \\\\\boxed{Sol=\{\dfrac{7}{4} \}}\\[/tex]
what is value of the "2" in 32,405
Answer:
please mark me brainliest
Step-by-step explanation:
thousandth
The place Value of 2 is Thousand (1000)
Hope it helped youILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
76 percent done.
Step-by-step explanation:
Reasoning for this if its 76/100 you know that it will be 76. Or im Just got confused.
pls answer will choose brainliest
Hi ;-)
[tex]\text{x}=-1 \ \text{and} \ \text{y}=-4\\\\\dfrac{5x^2-y^2+3}{2x-4y}=\dfrac{5\cdot(-1)^2-(-4)^2+3}{2\cdot(-1)-4\cdot(-4)}=\dfrac{5\cdot1-16+3}{-2+16}=\boxed{-\frac{8}{14}}[/tex]
which number has a 3 that is ten times greater than the 3 in 513
Answer:
5130
Step-by-step explanation:
You just multiply 513 by 10 to get 5130.
You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.
Find the slope and y intercept
(Please show work)
Answer:
slope = - 6, y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
0 = 2x - [tex]\frac{5}{3}[/tex] + [tex]\frac{1}{3}[/tex] y ( multiply through by 3 to clear the fractions )
0 = 6x - 5 + y ( subtract 6x - 5 from both sides )
- 6x + 5 = y , that is
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6 and y- intercept c = 5
Use prime factor decomposition to find the Hcf of 99 and 165
Answer:
HCF = 33.
Step-by-step explanation:
99 = 3*3*11
165 = 3*5*11
3 and 11 are common so the HCF = 3*11
= 33.
express: -25/60 as a rational number whose denominator is -12
Answer:
[tex]\frac{5}{-12}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{5}{-12}[/tex]
Step-by-step explanation:
Given
[tex]\frac{-25}{60}[/tex]
now 60 ÷ - 5 = - 12
Divide numerator and denominator by - 5
= [tex]\frac{5}{-12}[/tex]
A movie ticket costs $12 and it costs an additional p dollars to buy a small popcorn. The total cost for 3 people to go to the Movie theater and each buy a popcorn is $57. How much does it cost for one person to buy a popcorn?
NEED THIS ASAP PLEASE
Solve the following equation
a 4 (x + 3)=16
b 3 (p - 6)+ 15 =0
Answer:
x = 1, p = 1
BRAINLIEST, PLEASE!
Step-by-step explanation:
a. 4(x + 3) = 16
4x + 12 = 16
4x = 4
x = 1
b. 3(p - 6) + 15 = 0
3p - 18 + 15 = 0
3p - 3 = 0
3p = 3
p = 1
Help please and thank you (Alegbra 1)
Answer:
n = 3
Step-by-step explanation:
The entire equation needs to cancel out and for q to cancel out, n needs to be 3.
What does 540x230=
really need a anwser :)
Answer:124,200Step-by-step explanation:
Find the volume of this object.
Use 3 for a.
Volume of a Cone
V=Tr2h
3
Volume of a
Rectangular Prism
V = lwh
cm
5 cm
6 cm
1 cm
V[?]cm
3
12 cm
Answer:
11
Step-by-step explanation:
sjow
Please no links because they dont work :).
Answer:
b
Step-by-step explanation:
Answer:
B. 439.
Step-by-step explanation:
7 * (6 + 2)^2 - 3^2
= 7 * 8^2 - 9
= 7 * 64 - 9
= 448 - 9
= 439.
Hope this helps!
ALGEBRA 1 MATH PLEASE HELP !!!!
Answer:
g(x) = |x-10|
Step-by-step explanation:
In majority of cases, the h in an equation is the movement to the left and right. and if you subtract h, you move to the right, if you add h, you move to the left. So in this case, to move ten units to the right, you would have h=10. Because there are no other changes made to the equation, the new equation, g(x), is simply:
g(x) = |x-10|
What is the greatest
common factor (GCF)
of 24 and 32?
Answer:
8
Step-by-step explanation:
please follow me
factors of 24 ={1,2,3,4,6,8,12,24}
factors of 32={1,2,4,8,16,32}
CF={2,4,8}
GCF={8}
Answer:
I belive that it is 8
Step-by-step explanation:
Figure the amount of time worked in 4 weeks by 12 electrical wiring specialists who work 30 hours each week.
Answer:
1440
Step-by-step explanation:
Let's say x = number of hours worked per week for 12 people. Now one worker works 30 hours a week so if you multiply 12 workers by 30 you will get how many hours 12 workers worked. so x = 12 • 30. 12 • 30 is 360. so x = 360 or for 1 week 12 workers worked 360 hours. now we need to find the amount of hours for 4 weeks. so we can do 4x or 4 times the amount of hours per one week. since x = 360. 4 • 360 = 1440.
Which equation represents a line which is perpendicular to the line 2 – 2y = 2?
Oy= 2x + 1
y=-x-5
Submit Answer
Oy= *x+8
y = -2x + 5
Pls help ASAP
Answer:
[tex]y = \frac{1}{2} x - 1[/tex]
Step-by-step explanation:
Hope it is helpful....
PLEASE HELP ME! I am suck on this math assignment
Hey there! I'm happy to help!
-----------------------------------------------------------------------------------------
QUESTION 18
Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).
[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right][/tex]
Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.
[tex]\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex]
So, your answer is [tex]\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex].
-----------------------------------------------------------------------------------------
QUESTION 14
We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.
[tex]\frac{x^2}{25} + \frac{y^2}{16}=1[/tex]
We subtract [tex]\frac{x^2}{25}[/tex] from both sides.
[tex]\frac{y^2}{16}=1-\frac{x^2}{25}[/tex]
We multiply both sides by 16.
[tex]y^2=1-\frac{x^2}{25}*16[/tex]
We square root both sides.
[tex]y=[/tex] [tex]\sqrt{1-\frac{x^2}{25}*16[/tex]
We can take a four out of our root (because 16 is a perfect square so it can be simplified more).
y= [tex]4\sqrt{1-\frac{x^2}{25}[/tex]
And we take out 1/5 (which is the square root of 1/25).
y=± [tex]\frac{4}{5}\sqrt{1-x^2[/tex]
-----------------------------------------------------------------------------------------
QUESTION 17
We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.
From now on, they will be winning 2/3 of their games. Let's look at the answer options.
A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.
B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.
C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.
D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.
-----------------------------------------------------------------------------------------
QUESTION 16
Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.
This eliminates answer choices B and D as they do not have the equal part on the inequality.
Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.
So, our final answer is A.
-----------------------------------------------------------------------------------------
QUESTION 12
You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:
2×2 times 2×1 YES
2×1 times 2×2= NO
3×3 times 3×1= YES
3×1 times 3×3= NO
-----------------------------------------------------------------------------------------
Have a wonderful day and keep on learning! :D
step by step
6x+1<9-2x
2x-1 less than or equal to 5x+20
3-(2x-7) less than or equal to 34-6x
Answer:
x < 1
x ≤ -7
x ≤ 6
Step-by-step explanation:
6x + 1 < 9 - 2x
Group Like terms
6x + 2x < 9 - 1
8x < 8
Divide through by 8
8x/8 < 8/8
X < 1
2x - 1 ≤ 5x + 20
Group like terms
2x - 5x ≤ 20 + 1
-3x ≤ 21
Divide through by -3
-3x/-3 ≤ 21/-3
x ≤ -7
3 - (2x - 7) ≤ 34 - 6x
Expand the bracket
3 - 2x + 7 ≤ 34 -6x
-2x + 10 ≤ 34 - 6x
Group like terms
-2x + 6x ≤ 34 - 10
4x ≤ 24
Divide Through by 4
4x/4 ≤ 24/4
x ≤ 6
explain the answer with briefs steps
Step-by-step explanation:
steps are in picture above.
Note:if you need to ask any question please let me know.
Kira’s monthly gym bill is $50 plus $15 per class. She signs up for at least one
class each month. Write a linear function to represent Kira’s gym cost. What do the domain and range of the function represent?
Using a linear equation, it is found that:
The linear function is: [tex]C(n) = 50 + 15n[/tex]
The domain of the function is: [tex]D_C = [0,\infty)[/tex]
The range of the function is: [tex]R_C = [50,\infty)[/tex]
----------------------------
The linear equation for her monthly bill, considering she goes to n classes, has the following format:
[tex]C(n) = C_f + an[/tex]
In which
[tex]C_f[/tex] is the fixed cost.a is the cost per class.----------------------------
Monthly bill of $50 plus $15 per class means that: [tex]C_f = 50, a = 15[/tex].Thus, the linear function is:
[tex]C(n) = 50 + 15n[/tex]
----------------------------
The domain is the input, that is, n, the number of classes she can go. It is of 0 or greater, thus: [tex]D_C = [0,\infty)[/tex].The range is the output, that is, C, the possible costs, which ranges from 50(0 classes), to infinity, and thus: [tex]R_C = [50,\infty)[/tex].A similar problem is given at https://brainly.com/question/10891721
Please help me on this it’s due tomorrow.
Answer:
i don't know the answer becausr i am in class 8 sorry bro
Using the graph, find the equation of the line in slope-intercept form.
What is the slope-intercept form of the equation of the line?
y =
Answer:
y = 2x + 2
BRAINLIEST, PLEASE!
Step-by-step explanation:
(-2, -2) (-1, 0)
y = mx + b (m = slope, b = y-intercept)
m = rise/run = change in y / change in x
change in y: +2
change in x: + 1
change in y/change in x = 2/1 = 2
m = 2, y = 2x + b
We can plug -1 in for x, and 0 in for y.
0 = 2(-1) + b
0 = -2 + b
b = 2
y = 2x + 2
Answer:
y = 2x + 2
Step-by-step explanation:
solve for all values of x by factoring
Answer:
x = -4 and x = -6
Step-by-step explanation:
x² + 10x + 20 = -4
x² + 10x + 20 + 4 =0
x²+ 10x + 24 = 0........p = 24, s = 10 , factors = 4,6
( x² + 4x) ( + 6x + 24)= 0
x ( x + 4) + 6( x + 4)= 0
( x + 4) ( x + 6 )= 0
x + 4 = 0. or x + 6 = 0
x = -4. or x = -6
Answer:
-4, -6
Step-by-step explanation:
brainliest is appreciated
working and explaining is in the photo
Solve for x 6(x-1)=9(x+2)
Answer:
-8
Step-by-step explanation:
6(x-1) = 9(x+2)
6x - 6 = 9x +18
-24 = 3x
-24/3 = x
x = -8
Hope this helps!!
Answer:
6(x-1)=9(x+2)
6x-6=9x+18
-18-6=9x-6x
-24=3x
-24/3=3x/3
-8=x
A bakery received a shipment of 703 peaches. If it takes 8 peaches to bake a peach pie, how
many peaches will the bakery have left over after baking as many pies as possible?
peaches
Answer:
87 whole peach pies
Step-by-step explanation:
.875 peaches left
Answer:
Step-by-step explanation:
How many solutions are there to the equation below?
11X-99 = 11(x-9)
A. infinitely many
B. 0
C.1