Answer:
In 4 hours.
Step-by-step explanation:
Just equate f(x) = g(x). So:
15x + 90 = 30x + 30
60 = 15x
x = 4 hours.
In 4 hours the amount of candy produced be the same for both machines.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that A candy factory wants to compare a new machine to their current machine. Both machines produce y boxes of candy for every hour x. The current machine is represented by the equation f(x). The new machine is represented by the equation g(x). f(x) = 15x + 90 g(x) = 30x + 30.
The value of time will be calculated below:-
Just equate f(x) = g(x).
15x + 90 = 30x + 30
60 = 15x
x = 4 hours.
Therefore, In 4 hours the amount of candy produced is the same for both machines.
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Rebecca Clarke's Nursery sells border plants for home gardeners at a discounted price of
$12.99. Rebecca Clarke's has 335 plants it needs to sell. Fixed costs for all these plants were
$1,675 and variable costs per plant are $3.65. What is the maximum profit Rebecca Clarke's
will make if it sells all the plants at the discounted price?
Answer:
$1,540.70
Step-by-step explanation:
1675/335 = 5
3.65 * 335 = 1222.75
Cost of $8.65 per plant, or $2,897.75 for every plant.
12.99 - 8.65 = 4.34
Profit of $4.34 per plant, or $1,540.70 total.
17.
An urn contains eight red, six white, and four green balls. Four balls are drawn at random.
(a) Compute P(all four are red).
(b) Compute P(exactly two are red and exactly two are green).
(c) Compute P(exactly two are red or exactly two are green).
(a) The probability that all four balls are red is
(Type an integer or a decimal. Round to two decimal places as needed.)
(b) The probability that there are exactly two red balls and exactly two green balls is
(Type an integer or a decimal. Round to two decimal places as needed.)
(c) The probability that there are exactly two red balls or exactly two green balls is
(Type an integer or a decimal. Round to two decimal places as needed.)
Assume that triangle TUV= triangle WXY. Which of the following congruence statements
are correct? Check all that apply.
Answer:
Options (C), Option (D), Option (E), Option (F).
Step-by-step explanation:
It's given in the question,
ΔTUV ≅ ΔWXY
Therefore, corresponding sides and angles will be congruent.
∠T ≅ ∠W
∠U ≅ ∠X
∠V ≅ ∠Y
TV ≅ WY
UV ≅ XY
TU ≅ WX
By these properties, following options will be the correct options.
Option (C). ∠V ≅ ∠Y
Option (D). TV ≅ WY
Option (E). UV ≅ XY
Option (F). ∠X ≅ ∠U
Answer:
C,D,E, and F are correct
Step-by-step explanation:
In order to solve problems like this, you need to see which angles and segment correspond. Also, you would need to make sure that the order is the same on both sides of the equal side. For example, the first angle on one side of the equal sign will be congruent to the FIRST angle on the other side of the equal side.
What is the difference between a standard normal distribution and a nonstandard normal distribution?
Answer:
In a standard normal distribution;
The mean of the population is going to be zero and the population standard deviation is automatically one.
In a nonstandard normal distribution;
The mean of the population is not equal to zero and the population standard deviation is not equal to one.
Step-by-step explanation:
When looking at a normal distribution: There are three major keys we need to understand:
The bell shaped curve is the first thing that comes to the mind. In the bell- shaped curve, the mean is locate in the middle.The total area under the curve is equal to 1. The bell shape is symmetrical.The major difference between a standard normal distribution and a nonstandard normal distribution is that:
In a standard normal distribution, there are two additional things attached.
The mean of the population is going to be zero and the population standard deviation is automatically one.
In a nonstandard normal distribution;
The mean of the population is not equal to zero and the population standard deviation is not equal to one.
A paycheck is issued for $329.40. The paystub reflects an amount earned of $400.00, Medicare tax of $5.80, Social Security tax of $24.80, and a federal tax of $40.00. What is the net income for the paycheck? Group of answer choices
Answer:
gross income is $400
The net is $329.40
Deductions are $$70.6
Step-by-step explanation:
Based on the gross amount earned and the various deductions, the net income is $329.40
What is Net Income?Net income is the amount that will be earned after all the taxes have been subtracted from the paystub amount.
The net income is therefore:
= 400 - 5.80 - 24.80 - 40
= $329.40
In conclusion, the net income is $329.40.
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ANSWER ( MUST ANSWER IN ORDER FOR BRAINLIEST)
Answer:
A. 9
Step-by-step explanation:
54/6 = 9
Answer:
9
Step-by-step explanation:
The scaling factor for this image is 9.
Notice that 54/6 = 9 and 108/12 = 9.
Cheers.
Find the GCF 8x and 22xy.
Answer:
2x
Step-by-step explanation:
Factor both terms given to simplest terms:
8x = 2 * 2 * 2 * x
22xy = 2 * 11 * x * y
Note that in each case, there is the factor of 2 & x that is shared by both. These are what is used to find the Greatest Common Factor. Multiply both terms together:
2 * x = 2x
2x is your GCF.
~
First find the greatest common factor of 8 and 22.
To find the greatest common factor of 8,
begin by dividing 8 by all the numbers you can.
8 ÷ 1 = 8
8 ÷ 2 = 4
Notice that I stopped here because if I continued
dividing, I would be dividing 8 by 4 which is 2.
Make sure to stop dividing when you see numbers repeat.
So the factors of 8 are 1, 2, 4, and 8.
Now do the same thing for 22.
22 ÷ 1 = 22
22 ÷ 11 = 2
So the factors of 22 are 1, 2, 11, and 22.
Now look for the largest number shared by the two lists.
In this case, the largest number is 2.
Now let's move to the variables.
To qualify for the Greatest Common Factor,
the variable must appear in every monomial.
Since the y doesn't appear in every monomial, it doesn't qualify.
However, notice that the x does appear in every monomial.
If the variable does appear in every monomial, the Greatest
Common Factor will use the smallest power on that variable.
Since the smallest power for x in both monomials is x, we use x.
So our greatest common factor is 2x.
Jerry has $20 and makes $7 per hour. Which equation represents the total
amount of money Jerry has after working x hours?
Equation to represent amount of money Jerry has after working x hours is
y = $7x + $20
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Given,
Jerry makes $7 per hour
He has $20.
Jerry works for x hours
Amount Jerry made working x hours = $7x
Then, equation for total amount y Jerry has after working x hours
y = $7x + $20
Hence, y = $7x + $20 is equation that represents the total amount of money Jerry has after working x hours.
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solve the equation
3(x + 1) = 9+ 2x
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3(x+1)=9+2x[/tex]
Distribute the left side:
[tex]3x+3=9+2x[/tex]
Subtract 2x from both sides. The right side cancels:
[tex](3x+3)-2x=(9+2x)-2x\\x+3=9[/tex]
Subtract 3 from both sides:
[tex](x+3)-3=(9)-3\\x=6[/tex]
So, x is 6.
Will mark brainliest if correct
Answer:
[tex]mean = \frac{9 + 4 + 4 + 1 + 0 + 6 + 4}{7} = \frac{28}{7} = 4[/tex]
[tex]mean \: deviation = \frac{ |9 - 4| + |4 - 4| + |4 - 4| + |1 - 4| + |0 - 4| + |6 - 4| + |4 - 4| }{7} = \frac{5 + 0 + 0 + 3 + 4 + 2 + 0}{7} = \frac{14}{2} = 7[/tex]
You invested $17,000 in two accounts paying 6% and 7% annual interest, respectively.
If the total interest earned for the year was $1160, how much was invested at each rate?
Answer:
Total Earnings = 18,160
1) 1.07 * principal1 * + 1.06 * principal2= 18,160
2) principal1 + principal2 = 17,000
We'll multiply equation 2) by -1.06
2) -1.06*principal1 -1.06*principal2 = -18,020 then adding equation 1)
1) 1.07 * principal1 * + 1.06 * principal2= 18,160
.01*principal1 = 140
principal 1 = 14,000
and therefore principal 2 = 3,000
Step-by-step explanation:
The distributions of X and of Y are described here. If X and Y are independent, determine the joint probability distribution of X and Y.
Answer:
It should be noted that the p.f of X and Y when they are independent can be obtained by multiplying together their marginal probability function.
Step-by-step explanation:
Two discrete random variables X and Y are said to be statistically independent if and only if , for all possible values ( xi, yi) the joint probability function f(x,y) can be expressed as the product of two marginal functions. That is X and y are independent if
f(x,y) = P(x=xi and Y =yi)
= P(x=xi) P(Y =yi) for all i and j
= g(x)h(y)
It should be noted that the p.f of X and Y when they are independent can be obtained by multiplying together their marginal probability function.
The values of marginal probabilities are often written in the margins of the joint table as there are rows and columns totals in the table. The probabilities in each marginal probability function add to 1.
ANSWER brainliest if right
Answer:
c)
The distribution is skewed down the middle,
Therefore it is symmetric.
7.75 in expanded form
Answer: 7+0.7+0.05
Since 7 is in the ones place it goes in front of the decimal. .7 is in the tenth place because it's behind the decimal. .05 is also behind the decimal so it's in the hundredths place.
this is my question
Answer/Step-by-step explanation:
∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.
This,
[tex] \frac{DE}{AB} = \frac{DC}{AC} [/tex]
[tex] \frac{4}{3} = \frac{x + 3}{x + 1} [/tex]
Solve for x
[tex] 4(x + 1) = 3(x + 3) [/tex]
[tex] 4x + 4 = 3x + 9 [/tex]
[tex] 4x + 4 - 4 = 3x + 9 - 4[/tex]
[tex] 4x = 3x + 5 [/tex]
[tex] 4x - 3x = 3x + 5 - 3x [/tex]
[tex] x = 5 [/tex]
Use the value of x to find AC and DC
[tex] AC = x + 1 = 5 + 1 = 6 [/tex]
[tex] DC = x + 3 = 5 + 3 = 8 [/tex]
Write an equation that illustrates the following: a number with two decimal places multiplied by a number with one decimal place the product has only 2 nonzero digits.
Answer:
Step-by-step explanation:
Represent the equation as follows:
[tex]a * b = c[/tex]
Where a,b and c are decimal numbers
To solve further, we make use of trial by error method
Let
[tex]a = 2.52[/tex]
[tex]b = 0.6[/tex]
Such that
[tex]2.5 * 0.6 = c[/tex]
[tex]1.512 = c[/tex]
[tex]c = 1.512[/tex]
This set of digits do not follow the rule in the question
Let
[tex]a = 2.55[/tex]
[tex]b = 1.6[/tex]
[tex]2.55 * 1.6 = c[/tex]
[tex]4.08 = c[/tex]
[tex]c = 4.08[/tex]
The result has only 2 non zeros (4 and 8)
Hence
[tex]2.55 * 1.6 = 4.08[/tex] answers the question.
However, there are other set of numbers that can be used too
One of the equation which illustrates and meets the conditions given is :
First number = 1.25First number = 1.25Second number = 0.2.Product = 0.25First number, x = 1.25
First number, x = 1.25 Second number, y = 0.2
Result = first Number × second number
Result = 1.25 × 0.2
Result = 1.25 × 0.2 Result = 0.25
Evaluating the result : 0.25
Number of digits = 3
Non - zero digits = 2
There are several values of x and y which will satisfy the 3 conditions given.
Therefore, the product of the values 1.25 and 0.2 gives the required output.
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Which statement is true about the slope of the graphed line?
A. The slope is negative
B. The slope is positive
C. The slope is zero
D. The slope is undefined
The statement which is true about the slope of the given graphed line is that the slope is positive.
What is slope?Slope is the proportion of decrease or increase in variable y due to increase and decrease in variable x. The formula of calculating slope is as under:
Slope=[tex](y_{2} -y_{1}) /(x_{2} -x_{1})[/tex]
How to calculate slope?We have to find the slope of the graphed line and for that we have to first take two points which lie on the line whose slope we have to find.
Take the points (0,4) and (-5,2) and calculating slope we get:
slope=(2-4)/(-5-0)
=-2/-5
=2/5
Hence the statement which is true is that the slope is positive.
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Jim runs 12 miles in 4 hours how many feet does he run per minute
h= number of hours
m= number of miles
Formula: 4h=12m
(4 hours equals 12 miles)
Divide 4 on each side.
h= 3m
3 miles per hour.
Then, convert miles to feet. And hours to minute.
To do this simultaneously,
Convert miles to feet and hours to minutes.
There should be 3 "fractions" to multiply.
The first should be the original problem:
3miles/1 hour. (3 miles per hour).
The second should be 1 hour/60min. (1 hour per 60 min).
The third should be 5280 ft/1 mile. (5280 feet per mile).
The second and the third fractions are to convert miles to feet and the hours to minutes.
What is the distance between the points (9, -3) and (2, 4)?
Round your answer to the nearest tenth.
Answer:
The answer is
9.9 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(9, -3) and (2, 4)
The distance between them is
[tex]d = \sqrt{ ({9 - 2})^{2} + ( { - 3 - 4})^{2} } \\ = \sqrt{ {7}^{2} + ({ - 7})^{2} } \\ = \sqrt{49 + 49} \\ = \sqrt{98} \\ = 7\sqrt{2} \\ \: \: \: \: \: \: \: \: = 9.899494[/tex]We have the final answer as
9.9 units to the nearest tenthHope this helps you
Answer:
the answer would be 9.9
Step-by-step explanation
You must use the distance formula which is [tex]\sqrt{(2-9)^2 +(4-(-3))^2}[/tex]
Simplify - [tex]\sqrt{(-7)^2 +(7)^2}[/tex]
simplify again - [tex]\sqrt{49+49}[/tex]
once more simplify - [tex]\sqrt{98}[/tex]
and you can get your answer by [tex]\sqrt{98\\}[/tex]=9.899 or rounded to the nearest 10th 9.9. I hope this helps!
factorise : 64a cube minus 27b cube minus 144a square b plus 108ab square .
Plz Answer this question
Answer:
The answer is [tex]4a(16a^2+27b^2)-3b(9b^2+48b)[/tex]Step-by-step explanation:
step one:
let us re-write the expression in mathematical terms for clarity
we have the expression stated below
[tex]64a^3-27b^3-144b^2+108ab^2[/tex]
step two:
We are going to collect like terms before factorization we have
[tex]64a^3+108ab^2-27b^3-144b^2[/tex]
We can now factorize the expression we have
[tex]4a(16a^2+27b^2)-3b(9b^2+48b)[/tex]
A dance instructor chose four of his 10 students to be on stage for a performance. If order does not matter, in how many different ways can the instructor choose the four students? 10 C 4 = StartFraction 10 factorial Over (10 minus 4) factorial 4 factorial 210 1,260 6,300 25,200
Answer:
210
Step-by-step explanation:
10x9x8x7x6x5x4x3x2x1 divided by 6x5x4x3x2x1x4x3x2x1=
(Take out 1 through 6 on both sides)
10x9x8x7 divided by 4x3x2x1=
5040 divided by 24=
210
Dance instructor can chose 4 students out of 10 if order doesn't matter in 210 ways
What is combination?A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.
For example, suppose we have a set of three letters: A, B, and C. We might ask how many ways we can select 2 letters from that set. Each possible selection would be an example of a combination.
Formula of combination:
[tex]C_{n} ^{r} = \frac{n!}{r! (n-r)!}[/tex]
Where
nCr is the selection of objects from a group of objects where order of objects does not matter.
n is the total number of objects
r is the number of selected objects.
According to the question
A dance instructor chose four of his 10 students to be on stage for a performance and order does not matter .
i.e,
if we have to chose and order does not matter that means we have to use combination .
[tex]C_{n} ^{r} = \frac{n!}{r! (n-r)!}[/tex]
Total number of students (n)= 10
Number of selected students (r) = 4
[tex]C_{n} ^{r} = \frac{n!}{r! (n-r)!}[/tex]
[tex]C_{n} ^{r} = \frac{10!}{4! (6)!}[/tex]
[tex]C_{n} ^{r} = \frac{10*9*8*7}{4*3*2*1 }[/tex]
[tex]C_{n} ^{r} = \frac{5040}{24 }\\[/tex]
[tex]C_{n} ^{r} = 210[/tex]
Hence, Dance instructor can chose 4 students out of 10 in 210 ways
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the amount is 2.88 is ( percent of what price?
Answer:
Discount = Original Price x Discount %/100
Discount = 2.88 × 1/100
Discount = 2.88 x 0.01
You save = $0.03
Final Price = Original Price - Discount
Final Price = 2.88 - 0.0288
Final Price = $2.85
What is the product of the fractions belo?
1/8*4/5
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
cross simplify
[tex]\frac{1}{8}[/tex] • [tex]\frac{4}{5}[/tex] = [tex]\frac{1}{2}[/tex] • [tex]\frac{1}{5}[/tex]
multiply
[tex]\frac{1}{2}[/tex] • [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{10}[/tex]
(3x^4)-5=43
How??
It's supposed to be - 2?
Answer:
I got 2 as an answer
Step-by-step explanation:
[tex]( {3x}^{4} ) - 5 = 43 \\ ( {3x}^{4} ) = 43 + 5 \\ ( {3x}^{4} ) = 48 \\ \frac{ {3x}^{4} }{3} = \frac{48}{3} [/tex]
[tex] {x}^{4} = 16 \\ \sqrt[4]{ {x}^{4} } = \sqrt[4]{16} \\ x = 2[/tex]
Please help!
Explain how changes in the dimensions of a cube dimensions affect the volume of a cube. Be specific, explaining how much the volume will change with each increase of 1 unit on the side lengths.
Answer:
Difference = 3x² + 3x + 1
See Explanation
Step-by-step explanation:
Required: How changes in sides of a cube affects its volume.
Take for instance the side of the cube is x.
The initial volume would be:
Volume = x * x * x
Volume = x³
When then dimension is increased by 1 unit, the new volume would be
Volume = (x + 1) * (x + 1) * (x + 1)
Expand the brackets
New Volume = (x² + 2x + 1)(x + 1)
New Volume = x³ + 3x² + 3x + 1
[Calculate the difference between both volumes]
Difference = New Volume - Initial Volume
Difference = x³ + 3x² + 3x + 1 - x³
[Collect like terms]
Difference = x³ - x³ + 3x² + 3x + 1
Difference = 3x² + 3x + 1
So, there will be a difference of 3x² + 3x + 1 when the dimension is increased from x to x + 1
Take for instance: a dimension of 2 units is increased to 3 units
Initial Volume = 2³ = 8
New Volume = 3³ = 27
Difference = 27 - 8
Difference = 19
Using the derived formula (x = 2)
Difference = 3x² + 3x + 1
Substitute 2 for x
Difference = 3 * 2² + 3 * 2 + 1
Difference = 3 * 4 + 6 + 1
Difference = 12 + 6 + 1
Difference = 19
are ray AB and ray BA same? why
Answer:
A length of a ray cannot be measured therefore it's refferd to as infinite. same
Solve the following equation to find the value of x. Type "infinite" or "none", if necessary.
6x - (5x+5) = -8 -2(x+12)
Answer:
x = -9
Step-by-step explanation:
To solve these types of questions,
a). If both the sides of the equation are different,
2x + 3 = 3x - 6
There will be exactly one solution.
b). If the coefficient of variable 'x' is same in both the sides of the equation,
x - 3 = x - 6
Solution set will be 'none'.
c). If both the sides of the equation are exactly same then equation will have infinite solutions.
2x + 3 = x + x + 3
In the given equation,
6x - (5x + 5) = -8 - 2(x + 12)
Further simplify the equation,
(6x - 5x) - 5 = - 8 - 2x - 24
x - 5 = -2x - 32
x + 2x = 5 - 32
3x = -27
x = -9
The diagram represents a
straight highway with three
towns, Henri, Joaquin, and
Kenard. Find the distance
from Henri H to Joaquin J.
If the mZSRW=85 degrees what are the measures of ZVRU and ZURW?
Answer:
m<VRU = 80°
m<URW = 15°
Step-by-step explanation:
<SRW and <VRT are vertical opposite angles. Vertical opposite angles are equal. Therefore:
[tex] 2x + 15 = 85 [/tex]
Use this expression to solve for the value of x
[tex] 2x + 15 - 15 = 85 - 15 [/tex]
[tex] 2x = 70 [/tex]
[tex] \frac{2x}{2} = \frac{70}{2} [/tex]
[tex] x = 35 [/tex]
Find m<VRU by plugging in the value of x in the expression for its angle given.
m<VRU = [tex] 2x + 10 [tex]
[tex] 2(35) + 10 = 70 + 10 = 80 [tex]
m<VRU = 80°
FIND m<URW.
m<URW = 180° - (m<VRU + m<SRW) (angles on a straight line is 180°)
m<URW = 180 - (80 + 85)
= 180 - 165
m<URW = 15°
If Lucas needs to paint a 32 square -meter wall,state all posibleinput values
Answer:
Find every possible factors of 32, and pair them
Step-by-step explanation:
if the same value for width/length cant be repeated, 3 total possible values is possible
1 × 32 = 32
2 × 16 = 32
4 × 8 = 32
if the value of width/length can be repeated, 6 total different values.
1 × 32 = 32
2 × 16 = 32
4 × 8 = 32
32 × 1 = 32
16 × 2= 32
8 × 4= 32
you can easily find all factors using online factor calculator