VY=27. VZ = 18, and Ww=8, find WX
Х
W
Z
Answer:
D. 4
Step-by-step explanation:
∆VWZ ~ ∆VXY, therefore:
[tex] \frac{VW}{VX} = \frac{VZ}{VY} [/tex]
VW = 8
VX = 8 + WX
VZ = 18
VY = 27
Plug in the values
[tex] \frac{8}{8 + WX} = \frac{18}{27} [/tex]
Cross multiply
[tex] 8 * 27 = (8 + WX)*18 [/tex]
[tex] 216 = 144 + 18WX [/tex]
Subtract 144 from each side
[tex] 72 = 18WX [/tex]
Divide both sides by 18
[tex] 4 = WX [/tex]
WX = 4
Hayden plans to take a loan out to buy his Ultimate PC
Gaming Desktop. He will borrow $6,200 from the bank
at a rate of 3.5% annually. The length of the loan will be
5 years. How much interest will Hayden have to pay on
the loan? What is the total that Hayden will have to pay
the bank back?
Give step by step plz
Answer:
The rate of simple interest for loan was 8%
Step-by-step explanation:
Given
Principal amount = p = $6200
Time = t = 1 year
Amount after interest = $6696
We have to calculate the amount of interest first
So,
Interest amount =I= Amount after interest - principal amount
= 6696-6200
=$496
The formula for simple interest is:
The rate of simple interest for loan was 8%
Keywords: Simple interest, percentage
Learn more about simple interest at:
1
Which expression is NOT equivalent
to 1.24 X 0.9?
(124 x 90) x (160 x 100)
(124 X 9) * (100 x 10)
(0.124 X 9) X (10 x
(10 x 10)
(124 x 9) * (10 x 10)
The expression (124 × 9) × (1/10 × 1/10) is NOT equivalent to 1.24 × 0.9. which is the correct answer would be an option (D).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
A. (124 × 90) × (1/100 × 1/100) simplifies to 1.24 × 0.9 because 124 × 90 = 11160 and 1/100 × 1/100 = 1/10000, so the expression is equivalent to (11160/10000) × 0.9 = 1.24 × 0.9.
Similarly, expressions B and C can be rearranged as (9 × 1/10) × (0.124 × 10), which is also equivalent to 1.24 × 0.9.
B. (124 × 9) × (1/100 × 1/10) simplifies to 1.24 × 0.9 because 124 × 9 = 1116 and 1/100 × 1/10 = 1/1000, so the expression is equivalent to (1116/1000) × 0.9 = 1.24 × 0.9.
C. (0.124 × 9) × (10 × 1/10) also simplifies to 1.24 × 0.9 because 0.124 × 9 = 1.116 and 10 × 1/10 = 1, so the expression is equivalent to (1.116/1) × 0.9 = 1.24 × 0.9.
However, expression D cannot be rearranged to the form 1.24 × 0.9 because it contains the factors 124 and 90, which are not equivalent to 1.24 and 0.9, respectively.
Therefore, expression D is not equivalent to 1.24 × 0.9.
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Using the formula for Fahrenheit and Celsius temperatures, F = 9/5 C + 32.
If the temperature is currently 25 degrees F. what is the temperature in C
degrees? Round to the nearest WHOLE number. LABEL
Answer:
-4 degrees Celsius
Step-by-step explanation:
F = 25
Substitute into formula: 25 = 9/5C + 32
subtract 32 from each side: -7 = 9/5C
multiply each side by the reciprocal of 9/5, which is 5/9
-7(5/9) = C
C = -35/9 which is close to -36/9 which is -4 degrees Celsius
If you borrow $400,000 at an APR of 4% for 15 years, you will pay more per month than if you borrow the money for 30 years at 4%. However, you will pay much more in interest over the life of the loan. Answer the questions below (10 points) a. What is the monthly payment on the 15-year mortgage, to the nearest cent? (Be sure to use Excel to calculate the monthly payment.) b. What is the total interest paid on the 15-year mortgage? C. What is the monthly payment on the 30-year mortgage, to the nearest cent? d. What is the total interest paid on the 30-year mortgage? e. How much more interest in paid on the 30-year loan?
Answer:
If if i did the match correctly then you would be paying $53.33
Step-by-step explanation:
hope this helps!!!!!!! :D
What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 + 5x +6/x-6/x^2-9/2x-12
Picture of the right answers
Hence, the quotient of the rational expression given below is x-3.
How to solve?
To solve the division we will use basic properties of rational numbers here.
The first step is to factor numerator/denominator if possible.
To divide the expressions follow the following steps
1.leave the first fraction as it is
2. Convert division to multiplication
3.Turn the second fraction upside down
([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12
=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)
=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9
By splitting the quadratic equation into factors we get,
[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)
and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)
=2(x+3)(x+2)/(x+3)(x-3)
=2(x+2)/(x-3)
hence, the quotient of the given ration expression is x-3.
Learn more about solving rational expressions
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The Pythagorean triple (5, 12, 13) can't be generated from the identity (x? 1)2 + (2x)2 = (x2 + 1)
which has only one variable, because the length of the hypotenuse (13 units) and the length of the longer
of the other two legs (12 units) are not 2 units apart.
Find a two-variable identity by incorporating a second variable, y, into the single-variable identity. Note
that x > 1, x > y, and x and y are positive integers.
Select the correct answer.
5
9514 1404 393
Answer:
A. (x² -y²)² +(2xy)² = (x² +y²)²
Step-by-step explanation:
As is often the case with problems like this, the correct answer (A) is the only answer that is actually a true equation.
Choices B, C, D are only true if x or y is zero--a violation of the given condition that they are positive integers.
Suppose that in one week in November in St. Louis, the temperature dropped by an average of 4 degrees every day. The temperature at the beginning of the week was 65 degrees. Write an equation that relates the temperature (t) to the number of days that have passed (d). helpppp
Answer:
t = 65 - 4d
Step-by-step explanation:
Linear Modeling
The temperature in St. Louis dropped by 4 degrees every day in one week.
When d days have passed, the temperature will have dropped by 4d degrees.
We know the temperature t at the beginning of the week was 65 degrees.
Thus, when d days pass, the linear model for the temperature t is:
t = 65 - 4d
PLEASEE HELP 51 POINTS PLEASEE
Answer:
Part A is $21 and part B is $30.21
Simplify using the laws of exponets.
Answer:
2*5
Step-by-step explanation:
when youre dividing with powers you have to subtract them so 2*5-2*4=2*1. When the power is in brackets you multiply the whole power. So 2*1 x 5 = 2*5.
What are the like terms in: 4x+7-2x? I will give brainliest
Answer:
4x and -2x
Step-by-step explanation:
Answer:
The like terms are 4x and 2x.
Step-by-step explanation:
4x and 2x have x as their variable.
Given the following list of data, find the median.
1,3, 1.23, 2, 4, 22, 13, 26. 8
Answer:
solution
or, (N+1) th item
_
2
or ,8+1 th item
_
2
or,9
_
2
or,4.5 th item hence the median is4
The median of the given numbers will be 8.5.
What is the median?The Median is the middlemost value of the numbers arranged in ascending orders. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.
The given data is:-
1 , 1.23 , 2 , 3 , 4 , 13 , 22 , 26.8
The total numbers of the data are 8 so the median will be calculated as:-
Median = ( 4 + 13 ) / 2
Median = 17 / 2
Median = 8.5
Therefore the median of the given numbers will be 8.5.
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12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.
Answer:
467
Step-by-step explanation:
The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 16 mph and the Mystic travels at 20 mph. How far apart will they be in 2 hours? A. 52 miles B. 56 miles C. 40 miles D. 72 miles
Answer:
te puedo responder pero debes hacer primero tu tarea
Step-by-step explanation:
find the it out 12 divided by 3/5
Answer:
20
Step-by-step explanation:
hope this helps. i am in algebra two so you can trust my answer. happy holidays stay safe
Answer:
20 Hope this helps!
Indicate the answer choice that best completes the statement or answers the question.
The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the
number of minutes used? Explain.
Number of Minutes 40 |80 120 160 1200
Cost (S)
14.00 8.00 12.00 16.00 120.00
Answer: hold on you didn’t give enough info for this to make sense
Step-by-step explanation:
if 3x+10=4, what is the value of 2+5x? please help
Answer:
-8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3x + 10 = 4
2 + 5x
Step 2: Solve for x
Subtract 10 on both sides: 3x = -6Divide 3 on both sides: x = -2Step 3: Evaluate
Substitute in x: 2 + 5(-2)Multiply: 2 - 10Subtract: -8Let p (x ) = x^3 - 3x^2 - 10x + 24. What is the remainder when p (x ) is divided by x - 1?
Answer:
The remainder is 12.
Step-by-step explanation:
The Polynomial Remainder Theorem
The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
We are given the polynomial:
[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]
And we are required to find the remainder when p(x) is divided by (x-1).
We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:
[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]
Remainder= 1 - 3 - 10 + 24 = 12
The remainder is 12.
Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio
Answer:
the ratio: 6:1
Step-by-step explanation:
to make it as a ratio :
We will make 4 years as months
So 4x12 =48
then the ratio: 48:8
6:1
hope this helps
Answer this question please thanks
Answer:
The amount of intrest gained was B. $7.50
Step-by-step explanation:
Mark invested $125.
He gaines 3% per year and he did it for 2 years.
.03 x 2 =.06
125 x .06 = 7.50
B. $7.50
Hope this helps!
:)
which of the following quadratic equation is written in standard form?
a.3x-2x ²=7
b.-2x ²-7=-3x
c.-2x-7+3x=0
d.-2x ²+3x-7=0
Answer:
d. -2x²+3x-7
Step-by-step explanation:
Standard form is: Ax²+Bx+C
Can someone help me explain please?
Answer:
B. 16 = 4y
y = 4
Answer:
B. 16 = 4y
Step-by-step explanation:
Long block = 16Amount of blocks that make the long block (16): 4Label of the small blocks: yTotal of small blocks: y × 4y × 4 = 4yBecause the long block and the y blocks are equal, 16 = 4yI hope this helps!
4 cups are needed for 12 people how many cups are needed for 4 people
Answer:
3
Step-by-step explanation:
12/4=3
Answer:
4/3 cups or 1 1/3 cups
Step-by-step explanation:
4 cups x cups
----------------- = --------------
12 people 4 people
Using cross products
4 * 4 = 12x
16 = 12x
Divide each side by 12
16/12 = x
4/3 = x
1 1/3 cups
a local elementary school is marking rectangular areas for different stations during their spirit week. each area has a width of 5 yards and a diagonal distance of 13 yards. what is the length, in yards, of each area?
Answer:
12 yards
Step-by-step explanation:
side b = √(diagonal^2 - side a^2)
5 plus 5 euqals what number help
Answer:
10
Step-by-step explanation:
lol
...its 10
Step-by-step explanation:
1+1+1+1+1= 5
1+1+1+1+1= 5
5+5=10
A total of 600 advertisements were sold for a certain magazine. If 20 percent of the first 200 sold were in color, 40 percent of the next 300 sold were in color, and 80 percent of the last 100 sold were in color, what percent of the 600 advertisements were in color?
Answer:
40%
Step-by-step explanation:
First, find how many of the first 200 were in color:
200(0.2)
= 40
Then, find how many of the next 300 were in color:
300(0.4)
= 120
Find how many of the last 100 were in color:
100(0.8)
= 80
Then, add these all together to find how many were in color:
40 + 120 + 80
= 240
Then, divide 240 by 600 to find the percent that were in color:
240/600
= 0.4
So, 40% of the 600 advertisements were in color
Please help do right don't do just for points please
Answer:
-100
75
Step-by-step explanation:
Diana creates a graph of money she earns y for working x hours the graph contains the points 34,408 40,489 46 588
Answer:D and E I think
Step-by-step explanation:
URGENT
The table shows the derivation of tan(2x). Select the
correct reason for each step.
Reason 1 is
Reason 2 is
Reason 3 is
Answer:
Reason 1 is: Addition
Reason 2 is: Tangent Sum Identity
Reason 3 is: Simplify
Step-by-step explanation: ED 2020
Answer:
Reason 1 is: Addition
Reason 2 is: Tangent Sum Identity
Reason 3 is: Simplify
Step-by-step explanation:
There are y boats on a lake.
There are 6 people in each boat.
Write an expression, in terms of y, for the total number of people in the boats.
Answer:
I hope this may help u
Step-by-step explanation:
6×y