Given: The cost of a table as
[tex]\begin{gathered} Cost=717 \\ Discount=12\% \\ Sales-tax=7\% \end{gathered}[/tex]To Determine: The cost of the tablet
Solution
Let us first determine the discount
[tex]\begin{gathered} Discount=12\%\times717 \\ =0.12\times717 \\ =86.04 \end{gathered}[/tex]Then calculate the discounted price
[tex]Discount-price=717-86.04=630.96[/tex]We would also calculate the sales tax
[tex]\begin{gathered} sales-tax=7\%\times discount-price \\ =0.07\times630.96 \\ =37.86 \end{gathered}[/tex]The total price of the tablet would be
[tex]\begin{gathered} Total-cost=discount-price+sales-tax \\ =630.96+37.86 \\ =668.82 \end{gathered}[/tex]Hence, the cost of the tablet is $668.82
23. Express the following ratios in the form 1:n
(a) 1/3: 1/5
Answer:
1 : 3/5
Step-by-step explanation:
1/3 : 1/5
3/3 : 3/5 (multiply both sides of the colon by 3)
1 : 3/5 (simplify)
Solve for x.×+8=-6 what's the answer
The equation is
[tex]x+8=-6[/tex]Since we have a "+8" in the left side, we can substract 8 in both sides to get rid of it, which will solve the equation:
[tex]\begin{gathered} x+8=-6 \\ x+8-8=-6-8 \\ x=-14 \end{gathered}[/tex]A recent survey reported that 84% of Americans approve of human Embryonic stem research. If any American is selected at random find the probability that he or she will disapprove or have no opinion on the issue.
Answer:
The answer is 16%
Explanation:
If we have probability expressed in percentage, all the possible outcomes must add to 100%. In this case, we know that the p
Rewrite loge u + 6 loge v using properties of logarithms.A. logeOB. loge5/► ³/8 3/8uOC. logeOD. loge (uv")Reset Selection
We ill have the following:
[tex]\begin{gathered} log_6u+6log_6v\Rightarrow log_6u+log_6v^6 \\ \\ =log_6(uv^6) \end{gathered}[/tex]Help!! What would K be?
The value of k in the first relation is 5/3 and in the second relation the value of k is 36.5.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that
The relation between x and y:
y = (5/3)x
y = kx
The value k = 5/3
The second relation between x and y:
y = 36.5x
k = 36.5
Thus, the value of k in the first relation is 5/3 and in the second relation the value of k is 36.5.
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Ramiro got a job through the McGovern Employment Agency. The job pays $59400 per year, and the agency fee is equal to 25% of one month's pay How much must Ramir0 pay the agency? Round to the nearest cent. There are 12 months in a year. Input the numbers only -do not insert a dollar sign. Previous o new data to save astchegked at 2:0am Submit Q
He earns $59,400 per year and the agency fee is 25% of one month salary . His one month salary can be calculated as follows
[tex]\frac{59400}{12}=4950[/tex]25% of one month salary can be calculated as follows
[tex]\frac{25}{100}\times4950=\frac{123750}{100}=1237.5[/tex]Convert each percent to a fraction and a decimal. 22 2/9%
We will have the following:
First, we transform the percentage as a simple fraction:
[tex]22\frac{2}{9}=\frac{198}{9}+\frac{2}{9}=\frac{200}{9}\approx22.222222\ldots[/tex]So:
[tex]22\frac{2}{9}\approx22.222\ldots[/tex]So, the percentage is approximately 22.222.
***Explanation***
First, we are given a percentage:
[tex]22\frac{2}{9}\%[/tex]Now, in order to determine a fraction that represents this percentage we will have to bear in mind the following:
*A fraction represents a porcentage, so after solving for a simple fraction of the percentage given we obtain as solutions the simple fraction, that is:
[tex]22\frac{2}{9}=\frac{198}{9}+\frac{2}{9}=\frac{200}{9}[/tex]So, the fraction form of the porcentage given is 200 / 9.
And the decimal form is given by siply operating the fraction:
[tex]\frac{200}{9}=22.222222\ldots[/tex]So, it's decimal form is 22.222222... So, it is an infinitely long decimal, so we approximate its form, and it will be approiximately 22.2.
Solve for x. 2x + 3 = 3 - (4x + 12)
For the equation, 2x + 3 = 3 - (4x + 12), the value for x is -2.
Linear Equation: An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.
The given equation is 2x + 3 = 3 - (4x + 12)
We have :
2x + 3 = 3 - (4x + 12)
Opening the brackets as a 1st step,
2x +3 = 3 - 4x -12
Keeping all the variable terms on one side,
2x +4x = 3 - 12 - 3
Adding the variables and nonvariables, we get:
6x = -12
Now, Dividing both sides by 6,
[tex]x = \frac{-12}{6} = -2[/tex]
Hence, the value of x is -2.
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Solve the inequality. 4. 91 ≤ x + 265. x/4 < 8.46. 60 < 0.5x7. x - 2.3 < 6.6 8. x + 2.3 ≤ 5.7
4) The given inequality is
91 ≤ x + 26
We would solve for x by subtracting 26 from both sides of the inequality. We have
91 - 26 ≤ x + 26 - 26
65 ≤ x
By reversing the inequality, it becomes
x ≥ 65
Which is the approximate percentage change in water constant after maple tree sap became maple syrup?
Looking at the graphs, the maple tree sap has 98% of water, while the maple syrup has 33% of water.
That means the amount of water decreased by:
[tex]98\%-33\%=65\%[/tex]Therefore maple tree sap has 65% more water than maple syrup.
Correct option: first one.
Quadrilateral ABCD is rotated 90 degrees about the orgin. What are the coordinates of the quadrilateral A'B'C'D?
The coordinates of the object image are;
A {5,5}
B{5,1}
C{2,1}
D{1,5}
The rule for rotation of a point {x,y} through 90 degrees about the orgin, is that the object coordinates {x,y} change to image coordinates { y,-x}. This means the coordinates shift positions and the y coordinate acquires a negative sign. So in this case;
A {5,5}------- A' { 5,-5}
B{5,1}----------B' {1,-5}
C{2,1} ---------C' {1,-2}
D{1,5} ---------D' { 5,-1}
Answer
A.
A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 13.6 inches, and standard deviation of 2.2 inches.
If 38 items are chosen at random, what is the probability that their mean length is greater than 13.7 inches?
(Round answer to four decimal places)
If 38 items are chosen at random, the probability that their mean length is greater than 13.7 inches is 0.399.
What is probability?
Probability is simply the possibility that something will happen. When one doesn't know how something will turn out, one can talk about the possibility of one outcome or the likelihood of several.
The study of events that fit into a probability distribution is known as statistics.
A Z-score is a metric that quantifies how closely a value relates to the mean of the set of values. Standard deviations from the mean are used to measure Z-score.
Given that mean of 13.6 inches, and standard deviation of 2.2 inches.
mean, m=13.6
standard deviation, s=2.2
mx=m=13.7
Sample size,n=38
sx=s/√n=2.2/√38=0.356
P(x<13.6)=P(x-m/s < 13.7-13.6/0.356)
P(Z< -0.2809)
=0.399
If 38 items are chosen at random, the probability that their mean length is greater than 13.7 inches is 0.399.
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A) 104 units^2 B) 2184 units^2 C) 248 units^2 D) 250 units^2
First find the perimeter of the rectangle
P = 2(l+w) where l is the length and w is the width
P = 2( 5x-1+x)
Combine like terms
P = 2( 6x-1)
P = 12x -2
Find the perimeter of the triangle
P = s1 + s2 +s3 where s is the side length
P = 5x+12+ 6x+7
Combine like terms
P = 11x+19
We are told the perimeters are equal
12x-2 = 11x+19
Subtract 11x from each side
12x-2 -11x = 11x+19-11x
x-2 = 19
Add 2 to each side
x-2+2 = 19+2
x = 21
The side lengths of the rectangle are
x=21 and 5x-1 = 5*21 -1 = 105-1 = 104
We can find the area
A = l*w where l is the length and w is the width
A = 21 * 104
A = 2184 units^2
Answer:
B 2184 units^2
Calculate (A) the average daily balance and (B) the finance charge. (Round your final answer to the nearest cent.)
30 Day Billing Cycle
4/20 Billing date previous balance $ 800
4/27 Payment 100
4/30 Charge 300
5/9 Payment 50
5/12 Cash advance 200
The average daily balance and the finance charge will be $958.33 and $9.58 respectively.
How to compute the finance?Average Daily Balance will be calculated thus:
7 * $800 = $5,600
3 * $700 = $2,100
9 * $1,000 = $9,000
3 * $950 = $2,850
8 * $1,150 = $9,200
Total = $28,750
Average Daily Balance = Total amount / Number of period
= $28,750/30
= $958.33
Finance Charge:
= $958.33 * 0.01
= $9.58
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-2 x? x-3 = -18 what is the value of the question mark?
The missing number is -3 of the given expression.
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.
* Multiplication operation: Multiplies values on either side of the operator
For example 12×2 = 24
The expression as:
-2 × ? × -3 = -18
We have to determine the value of the question mark
Let the missing number would be n
⇒ -2 × n × -3 = -18
Apply the multiplication operation, and we get
⇒ 6 × n = -18
Divided by 6 into both sides of the equation,
⇒ n = -18 / 6
⇒ n = -3
Therefore, the missing number is -3.
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What is the value of the expression?
Enter your answer as a simplified mixed number
Expression is a combination of numbers, operators and variables.
-[-1 1/5 ÷ 0.6(1.3)}-5/6 is the expression and 4.234/6 is solution of the expression.
What is Expression?Expression is a combination of numbers, operators and variables.
-[-1 1/5 ÷ 0.6(1.3)}-5/6
The given expression has plus, minus , multiplication and divided symbols.
By using BODMAS rule we have to solve the expression.
-[-6/5 ÷ 0.78]-5/6
-[-1.2 ÷ 0.78]-5/6
-[-1.539]-5/6
1.539-5/6
(9.234-5)/6
4.234/6
Hence 4.234/6 is the value of expression -[-1 1/5 ÷ 0.6(1.3)}-5/6 after solving.
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Emily is standing 24 feet away from a light pole. The distance between Emily to a point of tangency on the pole is 12 feet. What is the radius of the light pole?Note : In the figure distance between Emily and the point of tangency is marked as 24 ft instead of 12.
From the given figure,
AB = Distance between Emily to a point of tangency.
BC = Radius of the pole
AC = Distance between Emily and the pole.
ABC is a right angled triangle at B.
Now,
[tex]\begin{gathered} In\text{ }\Delta ABC\text{ , By Using Pythagoras theorem } \\ AC^2=AB^2+BC^2 \end{gathered}[/tex]Substituting the given values in the statement,
[tex]\begin{gathered} 24^2=12^2+r^2 \\ r^2=24^2-12^2 \\ r^2\text{ = }432 \\ r\text{ = 20.78 ft} \end{gathered}[/tex]Thus the radius of the pole is 20.78 ft .
Translate and then solve the inequality. “Ten subtracted from the quotient of a number and 7 is less than -6.”
Given:
Ten subtracted from the quotient of a number and 7 is less than -6.
Let x be a number.
The given statement is written as,
[tex]\begin{gathered} \frac{x}{7}-10<-6 \\ \text{Add 10 on both side} \\ \frac{x}{7}-10+10<-6+10 \\ \frac{x}{7}<4 \\ \text{Multiply by 7 on both sides} \\ 7(\frac{x}{7})<7(4) \\ x<28 \end{gathered}[/tex]Answer: the inequality is,
[tex]\frac{x}{7}-10<-6[/tex]The solution is,
[tex]x<28[/tex]1. What theorem allows you to prove line f is parallel to line g? For what value of x is line f parallel to line g? I NEED FULL DETAIL
The value of x that will make the line f parallel to line g is 6.
The theorem that allows you to prove line f is parallel to line g is corresponding line theorem.
How to find angles when parallel lines is cut by transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.
The theorem that prove the line f is parallel to line g will make the two angles equal.
15x + 9 = 21x - 27
f and g will be parallel and cut by the transversal line h when
15x + 9 = 21x - 27
15x - 21x = -27 - 9
- 6x = -36
x = -36 / -6
x = 6
Therefore, corresponding angle theorem prove line f is parallel to line g and the value of x is 6 to make line f and g parallel.
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Write a verbal expression for each algebraic expression.
a. 6
b. – 12m
The verbal expression for the algebraic expression
(a) 6 is " number six "
(b) -12m is " negative twelve times a number m " .
An Algebraic Expression can be defined as an expression that is made up of constants and variables linked with mathematical operators.
For Example : 2x+3y is an algebraic expression.
In the question ,
the algebraic expression are given as ,
Part(a)
6 ,
the verbal expression ,of the algebraic expression 6 is " number six " .
Part(b)
-12m
On Analyzing , we can say "12m" in simple language is "twelve times a number m ",
the sign "-" , means negative
Altogether , we can say that "-12m" means negative twelve times a number m .
Therefore , the verbal expression for the algebraic expression
(a) 6 is " number six "
(b) -12m is " negative twelve times a number m " .
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Jamie earned 18 more points on her test than Paul earned. Their points add up to 60. How many points did each student earn?
Answer:
Paul earned 21 points and Jamie earned 39 points.
Step-by-step explanation:
So, you start off with 60-18=42. Now, you have how much they earned minus Jamie's bonus 18. So, now that they have earned the same amount, you divide 42/2=21. So, now you know how many points Paul earned, 21, and now you just have to add the points Jamie earned that Paul didn't back to their score. 21+18=39
Find the EQUATION OF THE TANGENT to g(x)=(x-4)^2 at it’s y-intercept. Please use an appropriate limit, much appreciated!
Answer: y = –8x + 16
Explanation
Given
[tex]g\mleft(x\mright)=\left(x-4\right)^2[/tex]First, we have to know the y-intercept, which is the point where x = 0:
[tex]g(0)=(0-4)^2[/tex][tex]g(0)=16[/tex]Thus, the y-intercept is (0, 16).
Next, we have to get the derivative of the function, as the tangent line is the derivative:
[tex]\frac{dg(x)}{dx}=2(x-4)[/tex]Then, we have to compute the slope:
[tex]m=-8[/tex]Finally, we find the line in the slope-intercept form (y = mx + b):
[tex]b=16[/tex]Thus:
[tex]y=-8x+16[/tex]a number m is no less than -1 or less than or equal to -5 1/3
Answer:
Step-by-step explanation:
y=5 1/3 can be expressed in infinite ways
PREMISES
y=5 1/3 expressed as a fraction
CALCULATIONS
The mixed number 5 1/3 can be written in various ways:
y=5 1/3
y=
(.25/.046875, .5/.09375, 1/.1875, 2/.375, 4/.75, 8/1.5, 16/3 as improper fractions or 5.3333 repeating as a decimal fraction]
Carlos has a box of coins that he uses when playing poker with friends. The box currently contains 39 coins, consisting of pennies, dimes, and quarters. The number of pennies is equal to the number of dimes, and the total value is $2.34. How many of each denomination of coin does he have?
Answer:
19 pennies 19 dimes,1 quarter
Step-by-step explanation: it calculate with calculator
what is 18 x 12657=? hhhhhhhhhhhheeeeeellllllppppppppppppppp
Answer:
227826
i used a calculator
18 x 12,657= 227,826
Please comment if you have further questions to this problem.
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?A -4/3 B -3/4C 3/4D 4/3
The slope calculated with points M(1, 3) and N(5, 0) is:
[tex]undefined[/tex]Answer:
B
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ = ) = M (1, 3 ) and (x₂, y₂ ) = N (5, 0 )
m = [tex]\frac{0-3}{5-1}[/tex] = [tex]\frac{-3}{4}[/tex] = - [tex]\frac{3}{4}[/tex]
Find the area of the triangle belowunits given are cm, cm^2, cm^3
Answer:
[tex]A_T=150cm^2[/tex]Explanation: We need to find the area of the triangle, We know that the area of any right triangle is:
[tex]A_T=\frac{1}{2}(b\times h)[/tex]Therefore in the information given we have the following:
[tex]\begin{gathered} h=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}[/tex]Therefore the Area of this triangle is as follows:
[tex]\begin{gathered} A_T=\frac{1}{2}(b\times h) \\ \therefore\rightarrow \\ A_T=\frac{1}{2}(20cm\times15cm)=\frac{1}{2}(20\times15)cm^2 \\ A_T=\frac{1}{2}(300)cm^2=150cm^2 \\ \therefore\rightarrow \\ A_T=150cm^2 \end{gathered}[/tex]Note! Units are centimeter-squared
Additional memory for your computer sells for $109.99 with a $10.00 mail-in rebate. What is the final price after the rebate if an envelope costs $0.35 and a 'forever' postage stamp costs $0.41?
Group of answer choices
$99.99
$10.76
$109.23
$100.75
Answer: D (100.75 $)
Step-by-step explanation: the price is initially $109.99, and a mail-in rebate is almost a coupon, getting you $10 dollars off, making it $99.99 But then with the extra expenses of the envelope and stamp, you add 76 cents, making it $100.75
Quadrilateral QRST is similar to quadrilateral EDGF. What's the scale factor from EDGF to QRST?Question options:A) 6∕7B) 5∕4C) 5∕6D) 6∕5
To determine the scale factor from EDGF to QRST:
[tex]\begin{gathered} \text{EDGF = }35\text{ } \\ \text{QRST = 42} \end{gathered}[/tex]The Quadrilateral QRST is similar to quadrilateral EDGF with a scale factor:
[tex]\frac{\text{QRST}}{\text{EDGF}}=\frac{42}{35}[/tex]The scale factor =
[tex]\frac{\text{QRST}}{\text{EDGF}}=\frac{42}{35}=\frac{6}{5}[/tex]Therefore the scale factor from EDGF to QRST = 6/5
Hence the correct answer is Option D
9. Alice bought a round-trip ticket to fly
from Baltimore to Chicago on
SuperAir for $250. That was $16
more than she would have paid on Jet
Airlines, which only offered a one-way
fair. How much did Jet Airlines charge
to fly from Baltimore to Chicago?
Jet Airlines charging $ 234 to fly from Baltimore to Chicago.
Given :
Tickets from Baltimore to Chicago on Super Air is $250
Which is $16 more than Jet Airlines.
Therefore she was going to pay $250 - $16 at the Jet Airlines.
= $ 234
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