Answers
Answer:
Rational
Step-by-step explanationRational interger:
Related Questions
Please explain how to solve this problem
The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $6 per pound with some Orange Pekoe tea that sells for $4 per pound to get 400 pounds of the new blend. The selling price of the new blend is to be $4.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?
The blend should have _ pounds of Earl Grey and _ pounds of Orange Pekoe.
Answers
9514 1404 393
Answer:
100 pounds Earl Grey300 pounds Orange PekoeStep-by-step explanation:
Let x represent the number of pounds of Earl Gray tea in the mix. Then the total cost of the mix is ...
6x +4(400-x)=4.50(400)
2x +1600 = 1800 . . . . . . . simplify
2x = 200 . . . . . . . . . . . subtract 1600
x = 100 . . . . . . . . . . . divide by 2. Pounds of Earl Grey
(400 -x) = 300 . . . . . Pounds of Orange Pekoe
The blend should have 100 pounds of Earl Grey and 300 pounds of Orange Pekoe.
_____
Additional comment
It is easy to show that the relationship between the quantities of high-cost (H) and low-cost (L) items in the mix (M) is ...
fraction of mix that is H is (M -L)/(H -L)
Here, we have H=6, L=4, M=4.5, so the fraction of the mix that is Earl Grey is ...
(4.5 -4)/(6 -4) = 0.5/2 = 0.25
There are 400 pounds of mix, so 0.25(400) = 100 pounds is Earl Grey.
The solution above is essentially 2-step, so using this relation doesn't necessarily save any steps. It just makes it possible to solve the problem in your head.
Does anyone know the answers to this? Please correctly answer
Answers
Answer:
Come and go (follow the pattern)
y = 0.20(0)+25
y = 0.20(30)+25
y = 0.20(60)+25
Interstate
y = 0.25(0)+15
y = 0.25(30)+15
y = 0.25(60)+15
Step-by-step explanation:
Given: SQ and TQ trident angle PQR
measure of angle PQT = 7x+6
measure of angle TQS = -2x +8y-13
measure of angle RQS = 5x +2y
find measure of angle PQR
Answers
Answer:
[tex]10x+10y-7[/tex]
Step-by-step explanation:
We just need to add up all of the angles, PQT, TQS, and RQS to find the measure of angle PQR.
[tex]PQT=7x+6\\TQS=-2x+8y-13\\RQS=5x+2y\\PQT+TQS+RQS=PQR\\7x+6+TQS+RQS=PQR\\7x+6+(-2x+8y-13)+RQS=PQR\\7x+6+(-2x+8y-13)+5x+2y=PQR\\7x+6-2x+8y-13+5x+2y=PQR\\7x-2x+5x+8y+2y+6-13=PQR\\5x+5x+8y+2y+6-13=PQR\\10x+8y+2y+6-13=PQR\\10x+10y+6-13=PQR\\10x+10y-7=PQR[/tex]
9514 1404 393
Answer:
123°
Step-by-step explanation:
Each of the parts of the trisected angle is equal to the others.
∠PQT = ∠TQS
7x +6 = -2x +8y -13
9x -8y +19 = 0 . . . . . . subtract the right-side expression
∠TQS = ∠RQS
-2x +8y -13 = 5x +2y
7x -6y +13 = 0 . . . . . . subtract the left-side expression
__
These equations can be solved by any of your favorite methods to give ...
(x, y) = (5, 8)
Then the angle measures are ...
∠PQT = 7x +6 = 7(5) +6 = 41
∠TQS = -2x +8y -13 = -2(5) +8(8) -13 = 64 -23 = 41
∠RQS = 5x +2y = 5(5) +2(8) = 41
The measure of angle PQR is 3·41° = 123°.
_____
Additional comment
Using Cramer's rule, the solution is ...
x = (-8(13) -(-6)(19))/(9(-6) -7(-8)) = 10/2 = 5
y = (19(7) -13(9))/2 = 16/2 = 8
I prefer a method like this, or the graphical solution, when the numbers don't lend themselves to substitution or elimination.
__
Obviously, once we have found angle PQT, we can simply multiply it by 3 to find angle PQR. We chose to compute the values of the other angles as a check on our math.
Jae is a real estate photographer. The amount he earns in one week is a linear function of the number of houses he photographs.
If he photographs 2 houses, he earns $315, and if he photographs 7 houses, he earns $1015.
a. Create a linear model for Jae's earnings (y) (in dollars) as a function of the the number of houses he photographs (x), and put
the model in slope-intercept form.
Answers
Equation of a linear function is defined by equation y = mx + b,
where m = slope of the line and b = y-intercept
Linear model representing a function for the earning (y) to photograph the houses (x) will be,
y = 140x + 35
Let the linear equation representing the earnings to photograph the houses,
y = mx + b
If we graph a line with two variables, earnings from photography on y-axis and the number of houses at x-axis,
Slope of the line 'm' = [tex]\frac{\triangle y}{\triangle x}[/tex]
If two points lying on the line are (2, 315) and (7, 1015).
Slope of the line 'm' = [tex]\frac{1015-315}{7-2}[/tex]
= [tex]\frac{700}{5}[/tex]
= 140
Therefore, equation of the line will be,
y = 140x + b
Since, (2, 315) lies on the line,
315 = 140(2) + b
315 = 280 + b
b = 35
Now the equation will be,
y = 140x + 35
Therefore, linear model representing a function of the earning (y) to photograph the houses (x) will be,
y = 140x + 35
Learn more,
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Answers
Two angles are complementary. One angle measures 32 degrees more than the other angle. Find the measure of the LARGER angle
Answers
[tex]\begin{array}{l}\text{We\ have\ } \alpha +\beta =90\ \text{and} \ \beta =\alpha +32\text{\ then}\\\\\alpha +\alpha +32=90\\\\\Longrightarrow 2\alpha =90-32\\\\\Longrightarrow \alpha =\frac{58}{2} =29\\\\\therefore \beta =29+32=61\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 61\ degrees}}\end{array}[/tex]
Hello Brainly User please help me I will mark brainliest. Its really east math please help me
Answers
not function
not function (i’m pretty sure)
2. not function
function
Fitness 19 charges a $44 sign up fee and $30 per month. LA fitness charges a $99 sign up and $25 per month. For what number of months is the cost the same?
Answers
Answer:
11 months
Step-by-step explanation:
Let x = months
y = total cost
Since Fitness 19 charges $30 a month, we multiply x by 30 like this: 30x
$44 is already added on the cost, so the Fitness 19 equation will look like this:
y = 30x + 44
Since LA Fitness charges $25 a month, multiply x by 25 like this: 25x
$99 is already added to the cost, so the LA Fitness equation will look like this:
y = 25x + 99
We need to find the point where they are both the same
30x + 44 = 25x + 99
First, move like terms to one side by subtracting 25x from both sides
30x + 44 = 25x + 99
- 25x - 25x
5x + 44 = 99
Then, subtract 44 from both sides
5x + 44 = 99
- 44 - 44
5x = 55
Finally, isolate the variable, x, by dividing both sides by the coefficient, 5
5x/5 = 55/5
x = 11
5 + (-8) - (-10)
please help
Answers
Answer:
-7
Step-by-step explanation:
5 + (-8) - (-10)
5 - 8 + 10
-3 + 10
7
Answer:
7
Step-by-step explanation:
TUrns into 5-8-(-10)
5-8+10
PEMDAS the answer and youll get 7
The opposite of 50 feet below sea level
Answers
Answer:
The opposite of 50 feet below sea level is 50 feet above the sea level.
Step-by-step explanation:
Below is negative 50 and above is positive 50 so its +50 the opposite of -50.
Solve for the value of R
Answers
Answer:
13
Step-by-step explanation:
Since the angles form 180 degrees, it will be what the equation is equal to.
Make the equation:
8r + 5 + 5r + 6 = 180
Combine like terms:
8r + 5 + 5r + 6 = 180
13r + 5 + 6 = 180
13r + 11 = 180
Solve:
13r + 11 = 180
-11 -11
---------------------
13r = 169
------ ------
13 13
r = 13
Hope this helped.
K = [ 14 -13 0 3 8 -1 -10 -2 5 ] find the determinant of K
Answers
I suppose K is the matrix
[tex]K = \begin{bmatrix}14 & -13 & 0 \\ 3 & 8 & -1 \\ -10 & -2 & 5\end{bmatrix}[/tex]
To compute det(K), you can use a simple cofactor expansion along the first row:
[tex]\det(K) = 14\times\det\begin{bmatrix}8 & -1 \\-2 & 5\end{bmatrix} - (-13)\times\det\begin{bmatrix}3 & -1 \\ -10 & 5\end{bmatrix} + 0\times\det\begin{bmatrix}3 & 8 \\ -10 & -2\end{bmatrix} \\\\ \det(K) = 14\times(8\times5-(-1)\times(-2)) + 13\times(3\times5-(-1)\times(-10)) + 0 \\\\ \det(K) = 14\times38 + 13\times5 = \boxed{597}[/tex]
Find(f−g)(x) f(x)=x2−6xandg(x)=−2x+3
A x2−4x+3
B x2+4x−3
C x2−4x−3
D x2+4x+3
Answers
Answer:
option C is the answer......
The ratio of qualified teachers to unqualified teachers is 1;2. Use the given ratio and determine how many qualified teachers there are if there are 540 unqualified teachers. show your calculations
Answers
Answer:
270
Step-by-step explanation:
by using the proportion rule:
let X be the number of qualified teachers then
1:2=X=540 i.e.
1/2 = X/540
by cross multiplication,
540x1=2xX
540=2X i.e.
X=540/2
X=270
There are 270 qualified teachers.
To solve this, we would apply the knowledge of proportion.
It is simply a way of stating that two ratios are of equal measure.
For example, [tex]a:b = x:y[/tex] or [tex]\frac{a}{b} = \frac{x}{y}[/tex]
Applying the following proportion rule given that:
Ratio of qualified teachers to unqualified teachers is 1:2.
Number of unqualified teachers = 540
Let number of qualified teachers be represented by x.
Therefore:
[tex]\frac{1}{2} = \frac{x}{540}[/tex]
Cross multiply
[tex]2x = 540(1)[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{540}{2} \\x = 270[/tex]
Therefore, the number of qualified teachers is 270.
Learn more about ratio here:
https://brainly.com/question/21768124
if (a^-1+b^-1)(a+b)^-1=a^mb^n.prove that a^(m-n)=1.
Answers
Answer:
46666
Step-by-step explanation:
16. -4x+3x=2
Please help
Answers
Answer:
x= -2
-------
7
Step-by-step explanation:
<1. combine like terms.>
<2.divide both sides of the equation by same terms.>
<3.Simplify.>: then Answer while come x= -2
------
7
Find the area of this figure. round your answer to the nearest hundredth.
Answers
Answer:
49.12 ft^2
Step-by-step explanation:
The triangle:
Area = 1/2 * base * height
= 1/2 * 6 * 8
= 24
The semicircle:
Area = 1/2 * 3.14 * 4^2
= 25 .12
Total area = 24 + 25.12
= 49.12 fT^2
Add the fractions and show me step by step on how to do it
7/24 + 4/6
Answers
23/24
7/24+4/6
Reduce the fraction by 6
7/24+2/3
Write all numerators above the least common denominator 24
7+16/24
Calculate
23/24
Please help me with this problem
Answers
Answer:
18e90w002
919293939
jwiwoqo1919
2kw29w9w9ww9
91022929292929 91901
19190193939
19292920202
Write the given phrase as an algebraic expression. Use the variable x to represent each unknown number.
A number divided by eleven.
The answer is
(Answer quickly)
Answers
Answer:
x/11
Step-by-step explanation:
The prompt states to use x for each unknown number and then the question says A number divided by eleven so x divided by 11 = x/11
If two functions are inverses of each other, which 2 statements are true?
A The graph of an inverse of a function is a reflection of the function across the line y=x. B f(g(x)) = x and g(f(x)) = x
C The graph of an inverse of a function is a reflection of the function across the line y=0. D f(g(x)) =1 and g(f(x)) = 1
Answers
Answer:
A and B
Step-by-step explanation:
To be inverses, the inverse composite functions must equal x, since the input and output must be equal as how much you used as your input, which is x. B proves that. Also, the graph must reflect over y = x, which is the line that runs through the origin
How can powers of ten be used to find the product of 40 x 10^5?
Enter your answers In the boxes as whole numbers
You can add __ zeros to the end of the number 40 to get the product of __.
Answers
Answer:
You can add 6 zeros to the end of the number 40 to get the product of 40 x 10^5.
Step-by-step explanation:
You can add 6 zeros to the end of the number 40 to get the product of 40×10⁵.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
We have powers of ten that are used to determine the product of 40×10⁵.
So, the product 40×10⁵ can be obtained by appending 6 zeros to the end of the integer 40.
Hence, You can add 6 zeros to the end of the number 40 to get the product of 40×10⁵.
Learn more about the arithmetic operations here:
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Help will give Brainly points
Answers
Answer:
¿Qué significa esto porque no entiendo?
Step-by-step explanation:
-.0666
Rational or
Irrational?
WHY
Answers
Answer:
It's irrational
Step-by-step explanation:
An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.
Answer:
Rational
Step-by-step explanation:
Irrational numbers go on FOREVER.
An example is
1. π
2.[tex]\sqrt{2}[/tex]
....
Surds are irrational. A surd is a square root of a number that goes on forever.
Some irrational numbers have recurring digits (repeating digits)
10/3 is an example:
3. 333333333333333333333333333333333333333333............
maurice bought a car costing £8248. he paid a deposit of £1975 and 6 monthly instalments of £511. estimate the amount maurice still owes
Answers
Hello :D
£8000 - £2000 = £6000
6 x 500 = £3000
£6000 - £3000
Finding Ordered Pairs from an Equation For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for the equation.
Answers
Answer: The answer is dddddd
Step-by-step explanation:
fbfgzgsdgrhzdfgreyty
c(ge + p) = n +j
Solve for c: C=
Answers
Answer:
[tex]c(ge + p) = n + j \\ \\ \frac{c(ge + p)}{(ge + p)} = \frac{n + j}{(ge + p)} \\ \\ { \boxed{ \boxed{c = \frac{n + j}{ge + p} }}}[/tex]
Quintina decided to increase the deduction percentage of her federal income tax rate from 14% to 16%. Quintina’s gross pay per month is $2,100. Her deductions before the change are listed in the table.
Deduction
Dollar Amount
Federal Income Tax
$294
State Income Tax
$89
Social Security
$85
Medicare
$35
What is her new monthly net pay? Round your answer to the nearest dollar.
$1555
$1591
$1595
$1639
Mark this and return
Answers
Answer:
The monthly net pay is [tex]\$1555[/tex].
Step-by-step explanation:
Step 1 :
Quintina decided to increase the deduction percentage of her federal income tax rate from [tex]14\%[/tex] to [tex]16\%.[/tex]
Quintina gross pay per month is [tex]\$2,100[/tex]
[tex]16\%[/tex] is written in the decimal form.
[tex]=\frac{16}{100}[/tex]
[tex]=0.16[/tex]
Federal income tax
[tex]=0.16[/tex] × Gross pay
[tex]=0.156[/tex] × [tex]2100[/tex]
[tex]=336[/tex]
Step 2:
Monthly net pay = Gross pay- Federal income tax - State Income Tax – social Security- Medicare.
[tex]=2100-336-89-85-35[/tex]
[tex]=2100-545[/tex]
[tex]=\$1555[/tex]
Therefore, the monthly net pay is [tex]\$1555.[/tex]
Learn more about income tax, refer:
https://brainly.com/question/1601662Answer$1555
Step-by-step explanation:
monomials please help
Answers
Answer:
-14 a^11
Step-by-step explanation:
-2a^5 * 7a^6
Multiply the coefficients
-2 * 7 = -14
Add the exponents since the base is the same
a^5 * a^6 = a^(5+6) = a^11
Put them back together
-14 a^11
Find the coordinates of the vertices of each figure after the given transformation.
dilation of 2.5 about the origin
Q(-1,-1), R(-2, 1), S(0, 2), T(2,0)
Answers
Step-by-step explanation:
Q(-1,-1), R(-2, 1), S(0, 2), T(2,0)
after dilation, all the numbers should be multiplied by 2.5.
so, the correct answer is d.
Q'(-2.5 ,-2.5), R'(-5, 2.5), S'(0, 5), T'(5,0)
