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
Olivia orders 24 cupcakes and a layer cake. The layer cake costs $16, and the total cost of the order is $52. What is the cost of each cupcake?
Answer:
The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes. This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes ).
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
First let us create an equation for this problem
(24 cupcakes)( $ of each cupcake) + ( $16 layer cake ) = $52
Let's say that C will represent the $ of each cupcake to make it easier
Solving it....
24C + 16 = 52
24C = 36
Divide both sides by 24
C = 1.5
Therefore, each cupcake cost $1.5
We can check to see if this works....
24(1.5) + 16 = total cost
36 + 16 = 52, so this is correct
Hope that helped! Best of luck <3
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
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]
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:
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.
What does 540x230=
really need a anwser :)
Answer:124,200Step-by-step explanation:
Please help me on this it’s due tomorrow.
Answer:
i don't know the answer becausr i am in class 8 sorry bro
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
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.
ILL 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.
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!
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
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
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|
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 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:
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
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
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 youexpress: -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]
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
(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]
Elijah drew a scale drawing of a swimming pool.
The scale of the drawing was
1 centimeter: 3 meters. The pool is 10
centimeters long in the drawing. How long is the
actual pool?
Answer:
30 meters
Step-by-step explanation:
when converting from scale to actual drawing:
find a way of removing the cm by
10cm × (3m/1cm)
look the cm cancels out
10×3m=30m
How many solutions are there to the equation below?
11X-99 = 11(x-9)
A. infinitely many
B. 0
C.1
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
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.
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....
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
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.
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: