All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines decreased by factor of 4?
Answer:
88 hours
Step-by-step explanation:
Since we are decreasing the number of machines by a factor of four and all the machines work at the same rate, we are simply going to increase the work hours by a factor of 4
Increasing the work hours by a factor of 4 will yield 22 * 4 = 88 hours
So it will take 88 hours to fill the order if the number of machines is deceased by a factor of 4
Help me please
Make x the subject of the formula
X – 7r = bc
Answer:
x = bc + 7r
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
x - 7r = bc
Step 2: Solve for x
Add 7r to both sides: x = bc + 7rIf 3x + 6 = 213x plus 6 equals 21, what does x + 2x plus 2 equal?
Answer:
17
Step-by-step explanation:
PLS GIVE BRAINLIEST
Repost your question. Separate your words, variables and numbers correctly. Otherwise, it makes no sense.
What is the answer please.... need help
Answer:
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]
As the highest power of the x-variable is 3 with the leading coefficients of 1.
So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.solving to get the zeros
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]
[tex]0=x^3-6x^2+3x+10[/tex] ∵ [tex]f(x)=0[/tex]
as
[tex]Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]
so
[tex]\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]
Using the zero factor principle
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]
[tex]x=-1,\:x=2,\:x=5[/tex]
Therefore, the zeros of the function are:
[tex]x=-1,\:x=2,\:x=5[/tex]
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.
Therefore, the last option is true.
I need help
Y=2x+7
X=4
Y=
Answer:
Y=15
Step-by-step explanation:
2(4)+7
8+7
15
Answer:
Y=15
Step-by-step explanation:
Use the lesser than sign in the greater than sign to fill in the middle blanks , between the two numbers given? < , >
Answer:
-67>-76
|-24|<|-42|
|45|<|-54|
Step-by-step explanation:
The first question is easy, when you're comparing negatives, the number that looks lower is actually greater. The second and third ones are a bit trickier. This --> || means the opposite of. Like |5| means -5. so just swap the numbers around and you have your answer.
Can Someone Help Me With This Question PLZ!!!!!!!!!!
Answer:
A. y = [tex]\frac{2}{5}[/tex]x + 1
Step-by-step explanation:
A linear function is a function that has an exponential value of zero or one and that, when graphed, is a straight line. The only equation that fits this description is answer choice A. We can also use the process of elimination to figure out which answer choice is correct.
A: A is the correct answer because it has an exponential value of one, meaning that it will be a straight line.
B: B is incorrect because the x has an exponential value of 2, which tells us that the equation is quadratic, not linear. If you were to graph this equation, it would look like a parabola, not a straight line.
C: C is incorrect for the same reason as answer choice B, the exponential value of this equation is more than one, meaning that the equation can't be linear.
D: D is incorrect because it contains a radical [tex]\sqrt{x}[/tex]. When [tex]\sqrt{x}[/tex] is graphed, it looks like half of a parabola, which isn't a straight line.
For what value of x does 3^2x-9^3x-4
Answer:
jdjndbncjjsnnxjjxjnxjnsnnx.
Find the prime factorization of 32. Write in exponential form.
thank you !!!
Answer:
2 exponent is 5
Step-by-step explanation:
5
so 2
Does anybody know the answer to this question please I need help?!
Answer:
Juan earns 10 dollars a week at his job
Step-by-step explanation:
1/2 of the sum of a number and 10
Answer:
1/2(x+10)
Step-by-step explanation:
What is the unit rate? $101.25 earned in 9 hours
Answer:
$11.25
Step-by-step explanation:
Answer:
$11.25
Step-by-step explanation:
Divide $101.25 by 9
11.25
So $11.25 were earned each hour.
Hope this helps :)
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What is the sum of the rational expression below? 3x/x+2 + x/x+4
A. 4x^2 +14x/x^2 + 6x + 8
B. 4x/2x + 6
C. 3x^2/x^2 + 8
D. 4x^2 + 4x +8/x^2 + 6x +8
The sum of the rational expression is (4x²+14x)/ (x²+6x+8)
How to find the sum of the rational expression?
A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.
To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):
3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)
= [3x²+12x + x²+2x] / (x²+4x+2x+8)
= (4x²+14x)/ (x²+6x+8)
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Question: There are 60% of students currently taking AP Biology who have taken previous AP courses. Carver High School has 9 of 15 students who have taken previous AP courses. Design a simulation to determine the probability of getting this number of students, who have taken previous AP courses, in a group this size. Which of the following assignments of the digits 0 through 9 would be appropriate for modeling this situation? (2 points)
Options:
A. Assign 0, 1, and 2 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
B. Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.
C. Assign 0 and 1 as having taken previous AP courses and 2, 3, 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
D.Assign 0, 1, 2, and 3 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
E. Assign 7, 8, and 9 as having taken previous AP courses and 0, 1, 2, 3, 4, 5, and 6 as not having taken previous AP courses.
Answer:
B: Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.
Step-by-step explanation:
Got it right on the quiz
The simulation of this probability is (b) assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.
How to design the simulation?The proportion of students taking AP biology is given as:
p = 60%
Express as fraction
p = 6/10
This means that for every 10 students, 6 of them are taking AP Biology.
To simulate this, we can make use of 10 numbers (say 0 to 9)
Of this 10 numbers, numbers 0 to 5 (i.e. 6 numbers) can be assigned to students taking AP Biology.
While the other number can be assigned to other students
Hence, the simulation of this probability is (b)
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What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6?
Answer:
y - 1 = 1/6x + 1 <<< Point slope form
y = 1/6x + 2 <<< slope intercept form
Either one works unless the question specifies the form of the equation
Step-by-step explanation:
Point slope form: (y - y1) = m(x - x1)
Given: (-6,1) ; m = 1/6
(y - 1) = 1/6(x - (-6))
y - 1 = 1/6x + 1 <<< Point slope form
y = 1/6x + 2 <<< slope intercept form: y = mx + b
Multiple Choice An equation of the line
whose slope is 3 and whose y-intercept is 8 is
? ?
A y = 8x + 3
C y = – 3x + 8
Ey = 3x - 8
B y = 3x + 8
D y = - 3x – 8
Answer:
y = 3x + 8
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 )
Here m = 3 and c = 8 , thus
y = 3x + 8 ← equation of line
will give brainliest
I don't understand algebra 2!!! at all idk why
break it down please help
Answer:
1/5... 1 on top 5 on bottom
Step-by-step explanation:
sub in the values:
[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]
now add:
[tex]\frac{12}{60}[/tex]
simplify:
1/5
If correct will mark brainliest !!!!!
Answer:
equilateral triangle, isosceles triangle, scalene triangle
(Left to Right)
Step-by-step explanation:
Answer:
1-equilateral triangle 2- isosceles triangle 3- scalene triangle
Step-by-step explanation:
At Gary's car wash 49 cars can be washed in 4 hours. At this rate, how many cars can be washed in 8 hours?
Answer:
98
Step-by-step explanation:
49 + 49 = 98
The Singer family had a moving sale. The next day they made this deposit with no cash back: 25 twenties, 19 tens, 28 fives, 18 ones; 15 quarters; and checks for $25, $20, and $85. What was the amount of their deposit?
The amount of their deposit will be $981.75
SumSum refers to the addition of two or more numbers.
How to find the amount of their deposit?The amount of their deposit will be the sum of no cashback deposit and the checks.
This means that the amount of their deposit will be 25 twenties + 19 tens + 28 fives + 18 ones + 15 quarters + $25 + $20 + $85.
By Solving it, we will get
[tex](25\times 20)+(19\times 10)+(28\times 5)+(18\times 1)+(15\times \dfrac{1}{4})+25+20+85=500+190+140+18+3.75+25+20+85\\=981.75[/tex]
So, the amount of their deposit will be $981.75.
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Which system of equations represents the graph?
Oy = 2x – 5 and 4x + 2y = 8
Oy = 2x – 5 and 2x + 4y = 8
Oy = 3x – 5 and 4x + 2y = 8
Oy = 3x – 5 and 2x + 4y = 8
Answer:
D: 3x – 5 and 2x + 4y = 8
Step-by-step explanation:
I used desmos calculator
Jorge drank 500 liters of coke.How many milliliters of coke did he drink?
Pretty sure its 500000 milliliters.
hope this helps
Answer:
500,000 liters
Step-by-step explanation:
mulitply the volume of the liters value by 1000
I really need help
Solve for x
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
1. Both are corresponding angles, hence they both are equal, so,
[tex]44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2[/tex]
Ans. C) 2
2. They both are in interior corressponding, hence their sum is equal to 180°, so,
[tex]10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7[/tex]
Ans. D) 7
3. They both are in interior corressponding, hence their sum is equal to 180°, so,
[tex]x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10[/tex]
Ans. A) -10
4. Both are corresponding angles, hence they both are equal, so,
[tex]12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6[/tex]
Ans. A) 6
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7TH GRADE MATH ASAP. Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he has 11 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 13 left over. How many chairs does Liam have?
Answer:
19 chairs
Step-by-step explanation:
you can make two equations
1. y = 8x + 11
2. y = 6x + 13
Y is the number of total chairs and x is the length
so 8x + 11 = 6x + 13
2x = 2
x = 1
so the length is one
To find the total number of chairs just plug in one as x
y = 8 + 11
y = 6 + 13
y = 19
so 19 chairs is the number of chairs Liam has.
Help me pleaseeee I need to finish
Nikes cost $75.
They were reduced to $60. What is the percent of change?
Answer:
15%
75-60= 15
hope this helps
Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
2.8%
Step-by-step explanation:
(7.4 - 7.2) / 7.2 =
0.2 / 7.2 =
2.7777777777778%
A scientist poured 1.6 x 103 milliliters of water into a container that already had 2.8 x 104 milliliters of salt water and 9.4 x 103 milliliters of sugar water.
This question is incomplete
Complete Question
A scientist poured 1.6 x 10³ milliliters of water into a container that already had 2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water. How many milliliters of liquid were in the container?
A.1.7 x 10⁴ milliliters
B.3.58 x 10⁴ milliliters
C.3.74 x 10⁴ milliliters
D.3.9 x 10⁴ milliliters
Answer:
C. 3.74 x 10⁴ milliliters
Step-by-step explanation:
The milliliters of liquid that WERE in the container = The milliliters of liquid that were in the container before adding 1.6 x 10³ milliliters of water
This equals to:
2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water.
Hence:
2.8 x 10⁴ milliliters of salt water + 9.4 x 10³ milliliters of sugar water
= (2.8 × 10⁴) + (9.4 × 10³)
= 37400
= 3.74 x 10⁴ milliliters
Therefore, option C is correct
Express the following ratios in simplest form: 20:40
Answer:
1:2
Step-by-step explanation:
By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20
Answer:
1 : 2
Step-by-step explanation:
20 : 40
20/10 : 4/10
2 : 4
2/2 : 4/2
1 : 2
A rectangular piece of metal is 9 in. longer than it is wide. Squares with sides 3 in. long are cut from the four corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 80 in. cubed?
Step-by-step explanation:
Let the width be = w
The length will be = w+9
And height h = 3 inches ( side of square =3 in)
Volume = l x w x h
According to question
[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]
So, this equation indicates that the volume of the box is 80 in.