Answer:
Concept:
The formula to calculate the selling price of the sweat will be
[tex]\text{Selling price=original price - discount}[/tex]Step 1:
Calculate the discount price
The discount rate given is
[tex]=15\%[/tex]The discounted price will be
[tex]\begin{gathered} =\frac{15}{100}\times\text{ \$63} \\ =\frac{945}{100} \\ =\text{ \$9.45} \end{gathered}[/tex]Step 2:
Calculate the selling price, we will have
[tex]\begin{gathered} \text{Selling price=original price - discount} \\ \text{Selling price}=63-9.45 \\ \text{Selling price}=53.55 \end{gathered}[/tex]Hence,
The sale price of the sweater will be = $ 53.55
(Right angle) Trigonometry Help me find the X value please!
To solve for x, we will simply use the trigonometric ratio
[tex]\sin \theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]From the figure given;
θ=24.3 opposite=2.06 and hypotenuse =x
substitute the values and evaluate
[tex]\sin 24.3=\frac{2.06}{x}[/tex]cross-multiply
x sin24.3 = 2.06
Divide both-side by sin24.3
[tex]x=\frac{2.06}{\sin 24.3}[/tex][tex]x\approx5.0[/tex]What is the solution to the equation k - 4 3/4 = 8 1/4?k = 4 1\2k = 12k = 13k = 4
Answer:
Explanation:
The given equation is
k - 4 3/4 = 8 1/4
The fist step is to convert the mixed number to improper fractions.
4 3/4 = 19/4
8 1/4 = 33/4
Thus, the expression becomes
k - 19/4 = 33/4
Adding 19/4 to both sides, we have
k - 19/4 + 19/4= 33/4 + 19/4
k = 52/4
k = 13
Write an equation of the line that passes through a pair of points: 5 4 37 2 1+ 4 -3 -2 -1 1 -3 a. y = x + 3 b. y = x - 3 C. y = -x + 2 d. y = -x-2 Please select the best answer from the choicon
From the given, it shows two points that pass through the given graph. These points are:
Point A : x1, y1 = 4, 1
Point B : x2, y2 = 5, 2
We will be using these points in generating the equation of the line.
Step 1: Let's determine the slope m of the line.
[tex]\text{ m = }\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{\text{ 2 - 1}}{\text{ 5 - 4}}\text{ = }\frac{1}{1}\text{ = 1}[/tex]Step 2: Let's determine the y-intercept b. Substitute x,y = 4, 1 and m = 1 in y = mx + b.
[tex]\text{ y = mx + b}[/tex][tex]\text{ 1 = (1)(4) + b}[/tex][tex]\text{ 1 = 4 + b}[/tex][tex]\text{ 1 - 4 = b}[/tex][tex]\text{ -3 = b}[/tex]Step 3: Let's complete the equation. Substitute m = 1 and b = -3 in y = mx + b.
[tex]\text{ y = mx + b}[/tex][tex]\text{ y = (1)x + (-3)}[/tex][tex]\text{ y = x - 3}[/tex]Therefore, the equation of the line is y = x - 3.
The answer is letter B.
a line has a slope of 3 and a y-i yet dot of 5. what is it’s equation in slope-intercept form? write you answer using integers, proper fractions, and improper fractions in simplest form.
y = 3x + 5
Explanation:slope = 3
y - intercept = 5
To get the equation in slope intercept form, we'll use:
[tex]\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}[/tex][tex]\begin{gathered} \text{The equation becomes:} \\ y\text{ = 3x + 5} \\ \end{gathered}[/tex]A python (p) is 3.9 feet longer than a boa constrictor (6).Select an expression from each box to create an equation that compares the lengths of the snakes
Since the python is 3.9 feet longer than the boa.
Therefore,
p=b+3.9
This implies that,
b=p - 3.9
In the first box you pick b
In the second box pick p-3.9
what is the answer
1-m=6-6m
Answer:
m = 1
Explanaton:
Given the expression;
1 - m = 6 - 6m
Collect the like terms
-m + 6m = 6 - 1
5m = 5
Divide both sides by 5
5m/5 = 5/5
m = 1
Hence the value of m is 1
The pilot in a plane is cruising at 4 miles sees a tree. The angle of elevation from the base of the tree to the plane is 40°.
We have to find x.
We can use the trigonometric relations to find the value of x.
We know that, for a right triangle, the sine of an angle is equal to the quotient between the opposite side and the hypotenuse.
In this case, the opposite side of the angle is the height of the plane (4 mi) and the hypotenuse is x, so we can write:
[tex]\begin{gathered} \cos (40\degree)=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{4}{x} \\ x=\frac{4}{\cos (40\degree)}\approx\frac{4}{0.766}\approx5.22 \end{gathered}[/tex]Answer: the value of x is approximately 5.22 miles.
I answered a few of these already. Am I right? What are the others? Thank you.
Answer:
Step-by-step explanation:
1. Number 1 is correct.
2. Number 2 is base angles.
3. Number 3 is correct.
4. Number 4 is vertical angles.
5. Number 5 is alternate interior angles.
6. Number 6 is corresponding parts.
7. Number 7 is correct.
8. Number 8 is vertex angles.
9. Number 9 is reflexive property.
10. Number 10 is correct.
Good luck! I hope you give me brainliest!
Find the LCD of the list of fractions. 11/20, 1/18, 13/90
LCD state for Least Common Denominator
The given fraction are :
[tex]\frac{11}{20},\text{ }\frac{1}{18},\text{ }\frac{13}{90}[/tex]For the least common denominator, first find the LCM of all the denominator of the given values:
Denominator are : ( 20, 18, 90)
LCM of (20,18, 90) = 180
So, the fraction will value can be written as :
[tex]\begin{gathered} \frac{11}{20}\text{ to make denominator equal to 180,} \\ \text{ Multiply up \& down by 9} \\ \frac{11\times9}{20\times9}=\frac{99}{180} \\ \text{ } \\ \frac{1}{18}\text{ to make denominator equal to 180} \\ \text{ Multiply up and down by 10} \\ \frac{1\times10}{18\times10}=\frac{10}{180} \\ \\ \frac{13}{90},\text{ to make denominator equal to 180} \\ \text{Multiply up and down by 2} \\ \frac{13\times2}{90\times2}=\frac{26}{180} \end{gathered}[/tex]Thus, the fraction will convert as :
[tex]\begin{gathered} \frac{11}{20}=\frac{99}{180} \\ \frac{1}{18}=\frac{10}{180} \\ \frac{13}{90}=\frac{26}{180} \end{gathered}[/tex]The least common denominator is 180
Answer : LCD of 11/20, 1/18, 13/90 is 180
if you are paid $4.50 per hour, how many hours will you have to work to earn $1000.00
Answer:
222.22 hours
Explanation:
To know how many hours you will have to work, we need to use the given rate of $4.50 per hour as follows:
[tex]\text{ \$1000}\times\frac{1\text{ hour}}{\text{ \$4.50}}=\frac{1000\times1}{4.5}=\frac{1000}{4.5}=222.22\text{ hours}[/tex]Because 1 hour is equivalent to $4.50.
Therefore, you will have to work 222.22 hours to earn $1000
17. Show your work-Factor the expression: 35x+63 * Your answer
35x + 63
7 can go into the two
7 (5x + 9)
A rectangular window is 48 in long and 24 in wide.Christine would like to buy a screen for the window. Thecost of the screen is based on the number of squarefeet the screen is. Use the facts to find the area of thewindow In square feet.Conversion facts for length1 foot (ft) = 12 inches (in)1 yard (yd) = 3 feet (ft)1 yard (yd) = 36 Inches (in)x 6 ?
we have that
1 ft=12 in
so
L=48 in
Convert to ft
48 in=48/12=4 ft
W=24 in
24 in=24/12=2 ft
therefore
the area is (4*2=8 ft2)
What is the least common multiple of 3,4,and 8
Answer:the least common multiple of 3, 4, 8 is 48
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
In the rectangle below, B D = 4x – 2, AC = 5x-11, and m ZAED = 82º.Find AE and m ZECB.BEAE =m ZECB =DС
Given :
[tex]\begin{gathered} BD\text{ = 4x + 2} \\ AC\text{ = 5x - 11} \\ \angle AED=82^0 \end{gathered}[/tex]Required :
[tex]AE\text{ , }\angle\text{ ECB}[/tex]Recall from the properties of a rectangle that
[tex]\text{The diagonals have the same length}[/tex]Hence :
[tex]\begin{gathered} AC\text{ = BD} \\ 5x\text{ - 11 = 4x -2 } \\ \text{collect like terms} \\ 5x\text{ - 4x = 11 - 2} \\ x\text{ = 9} \end{gathered}[/tex]Question 8: What is the measure of Angle C?*c525°47°43°1330
SOLUTION
Angle C is 133 degrees
From the image , angle c is the same as angle a, reason been that they are vertically opposite angles and they are always equal.. let us call angle c and a = x
Angle b = 47 degrees, because they are both vertically opposite angles, and they are always equal.
Angle c + angle a + angle b + 47 = 360 ( sum of angles at a point)
x + x + 47 + 47 = 360
2x + 94 =360
2x = 360-94
2x =266
x= 266/2
x=133 degrees
So angle C is 133 degrees
Option D
.1.2_Updated_FY21 Question: 1-3 The elevation of the Vander's home is -108 feet. The elevation of the Gail's home is exactly of that depth below sea level. What is the elevation of the Gail's home in feet? -36 -72 -162 -180
Given:
Elevation of Vander's home = -108 feet
Elevation of Gali's home is ⅔ of that depth below sea level.
Thus, the elevation of Gali's home is:
⅔ of -108 feet =
[tex]\frac{2}{3}(-108)\text{ = }\frac{2(-108)}{3}=\frac{-216}{3}=\text{ -72 f}eet[/tex]We know that the elevation of Vander's home is already below sea level since it's a negative value.
Therefore, since the elevation of Gali's home is ⅔ of the depth of Vander's home below sea level, the elevation of Gali's home is:
-72 feet
ANSWER:
-72 feet
A company purchased 10,000 pairs of men's slacks for $19.16 per pair and marked them up $22.43. What was the selling price of each pair of slacks? Use the formula S=C+M
Given that each slack is purchased at $19.16, so the cost price is $19.16
Also given that each slack is marked at $22.43, so the marked price is $22.43
It is asked to use the formula,
[tex]S=C+M[/tex]Substitute the values and simplify,
[tex]S=19.16+22.43=41.59[/tex]Thus, the selling price of each pair os slacks is $41.59
Which is NOT true?a) 9+4=17-4b)8+7=14+3c)11=19-8d)5+8=20-7
To determine which expression is true, we have to do the operations and check that on both sides of the equation is the same number.
Then, in this case we have:
[tex]\begin{gathered} a)9+4=13 \\ 17-4=13 \\ b)8+7=15 \\ 14+3=17 \\ c)19-8=11 \\ d)5+8=13 \\ 20-7=13 \end{gathered}[/tex]notice that the only option that don't match is b, therefore, the option b is not true
The diagram shows how 6-foot boards and 8-foot boards are joined to form rectangular frames in a wall. Which is closest to the length of the diagonal brace for the wall? 6 ft 8 ft A. 10 ft B. 12 ft C. 13 ft D. 11 ft
A right triangle is formed, where 6 ft and 8 ft are the legs, and the hypotenuse is unknown. Using the Pythagorean theorem:
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10 ft
which of the following is the correct factorization of the polynomial below?27x^3+1000
The polynomial is given to be:
[tex]27x^3+1000[/tex]We can rewrite this expression by applying the knowledge of exponents:
[tex]\Rightarrow(3x)^3+10^3[/tex]Apply the sum of cubes formula:
[tex]x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)[/tex]Therefore, we have:
[tex]\left(3x\right)^3+10^3=\left(3x+10\right)\left(3^2x^2-10\cdot \:3x+10^2\right)[/tex]Hence, we can simplify the expression to give the answer:
[tex]27x^3+1000=\left(3x+10\right)\left(9x^2-30x+100\right)[/tex]The correct option is OPTION B.
What is the term-to-term rule for the following sequences? Solve (A)A) 1,2,3,4,5,6,7,8,…B) 4,9,14,19,24,29,…C) 32,30,28,26,24,22,…D) 6,13,20,27,34,41,…E) 3,6,12,24,48,96,…F) 36,30,24,18,12,6,…G) -13,-11,-9,-7,-5,…H) 48,45,42,39,36,…I) 1,7,49,343,2401,…
A) Given:
The sequence is,
[tex]1,2,3,4,5,6,7,8,…[/tex]To find: The term-to-term rule
Since the given sequence has the common differnce 1.
So, it is of the arithmetic sequence.
Therefore, let us take
[tex]a_1=1[/tex]Then the second term will be,
[tex]\begin{gathered} a_2=a_1+1 \\ =1+1 \\ =2 \end{gathered}[/tex]The third term will be,
[tex]\begin{gathered} a_3=a_2+1 \\ =2+1 \\ =3 \end{gathered}[/tex]And so on.
So, the term to term rule must be,
[tex]a_n=a_{n-1}+1[/tex]Final answer: The term to term rule is,
[tex]a_{n}=a_{n-1}+1[/tex]I'm having trouble finding the length of NP and MN, thinking it has something to do with tan, cos, and sin, but not completely sure.
Bisects: to divide into two equal parts.
In this case, DB is bisecting the ∠ABC, then the ∠ABD
As OP is bisecting ∠MON, that means that ∠NOP and ∠POM have the same measure.
Then:
[tex]m\angle MON=m\angle NOP+m\angle POM[/tex]As ∠NOP = ∠POM, we get:
[tex]m\angle MON=m\angle NOP+m\angle NOP=2\cdot m\angle NOP[/tex]Replacing the value we get:
[tex]m\angle MON=2\cdot20=40[/tex]Based on this, we can use the trigonometric functions, as we have an angle and one side. Specifically, the tangent function:
[tex]\tan \alpha=\frac{opposite}{\text{adyacent}}[/tex]First, to calculate NP, we get the following:
[tex]\tan 20=\frac{NP}{6}[/tex]Isolating for NP:
[tex]NP=6\cdot\tan 20[/tex][tex]NP=2.18[/tex]Then, calculating for MN we get the following:
[tex]\tan 40=\frac{MN}{6}[/tex]Isolating for MN:
[tex]MN=6\cdot\tan 40[/tex][tex]MN=5.03[/tex]Answer:
• NP = 2.18
,• MN = 5.03
When 3.5 is added to 7 times a number the result is 65.1 find the number
Let x be the number we are looking for; therefore, 7 times a number is '7x'.
Then, 3.5 added to 7 times a number is
[tex]3.5+7x[/tex]Thus, the whole equation is
[tex]\begin{gathered} 3.5+7x=65.1 \\ \Rightarrow7x=65.1-3.5=61.6 \\ \Rightarrow x=\frac{61.6}{7}=8.8 \end{gathered}[/tex]Hence, the number is 8.8
dividing 5 by 10 + 1
Image courtesy of NASAWhich of New Zealand's physical features is circled by number 2 on the map above?A. the Northern PeninsulaB. the Southern AlpsC. the Canterbury PlainsD. the Eastern HillsPlease select the best answer from the choices providedABOeCD
C) Canterbury Plains
Consider the following linear equation.2y = -1-ainStep 2 of 2: Graph the line.
As given by the question
There are given that the equation
[tex]y=-1-\frac{2}{5}x[/tex]Now,
The graph of the line is given below:
Find the 8th term of the sequence using the explicit formula: 2 × (7)(n - 1).1647086164706816478061647860
Given:
The explicit formula is
[tex]2\times7^{(n-1)}[/tex]Required:
To find the 8th term of the sequence.
Explanation:
For n=8,
[tex]\begin{gathered} =2\times7^{(8-1)} \\ \\ =2\times7^7 \\ \\ =2\times7\times7\times7\times7\times7\times7\times7 \\ \\ =1647086 \end{gathered}[/tex]Final Answer:
The first option is correct.
[tex]1647086[/tex]Solve the equation for x, and enter your answer below.3x-3 + 5x = 37
The given equation is-
[tex]3x-3+5x=37[/tex]First, we reduce like terms
[tex]8x-3=37[/tex]Now, we sum 3 on each side
[tex]\begin{gathered} 8x-3+3=37+3 \\ 8x=40 \end{gathered}[/tex]At last, we divide the equation by 8
[tex]\begin{gathered} \frac{8x}{8}=\frac{40}{8} \\ x=5 \end{gathered}[/tex]Therefore, the solution is 5.Five companies have each sent one representative to a competition to pitch their newest business idea to a group of angel investors. The conference has 5 time slots designated for one representative to present their company's idea.How many different ways can the representatives be ordered to present their ideas?
Let's use the counting principle:
[tex]\begin{gathered} Let: \\ n=number_{\text{ }}slots=5 \\ T=Total_{\text{ }}number_{\text{ }}of_{\text{ }}ways \end{gathered}[/tex]so:
[tex]T=n\cdot(n-1)\cdot(n-2)...1=n![/tex]So:
[tex]\begin{gathered} T=5! \\ T=120 \end{gathered}[/tex]Answer:
120
The number of different ways can the representatives be ordered to present their ideas is 120 ways.
Given that, 5 companies have each sent one representative to a competition to pitch their newest business idea to a group of angel investors.
What are Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Using nPr =n!(n-r)! we get
Here, n=5 and r=5
So, P(n, r) = P(5, 5) = 5!(5-5)!
= 5!/1
= 5×4×3×2×1
= 120 ways
Therefore, the number of different ways can the representatives be ordered to present their ideas is 120 ways.
To learn more about the permutation visit:
https://brainly.com/question/3867157.
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I have this practice question from my ACT prep guide, THE SUBJECT IS PRE CALC!! MEANING ITS HARD AND COMPLEX. Below will be the questions to this problem ( includes 5 questions )1. What is the balance of Albert’s $2000 after 10 years? 2. What is the balance of Marie’s $2000 after 10 years? 3. What is the balance of Han’s $2000 after 10 years?4. What is the balance of Max’s $2000 after 10 years? And lastly, 5. Who is $10,000 richer at the end of the competition?
Albert
Compound interest formula:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where:
A: final amount
P: principal
r: annual interest rate, as a decimal
t: time in years
n: number of times interest applied per year
Substituting with P = $1000, r = 0.012 (= 1.2/100), n = 12 (interest is compounded monthly), t = 10 years, we get:
[tex]\begin{gathered} A=1000(1+\frac{0.012}{12})^{12\cdot10} \\ A=1000(1.001)^{120} \\ A=1127.43\text{ \$} \end{gathered}[/tex]If $500 lost 2%, then it keeps 98% of its original value, that is,
$500x98% = $490
Continuous compound formula:
[tex]A=Pe^{rt}[/tex]where the variables have the same meaning as before.
Substituting with P = $500, r = 0.008 ( = 0.8/100), and t = 10 years, we get:
[tex]\begin{gathered} A=500\cdot e^{0.008\cdot10} \\ A=541.64\text{ \$} \end{gathered}[/tex]The balance of Albert’s $2000 after 10 years is:
$1127.43 + $490 + $541.64 = $2159.07
Marie
Substituting in the compound interest formula with P = $1500, r = 0.014 (= 1.4/100), n = 4 (interest is compounded quartely), t = 10 years, we get: