The owner of a shop bought a scarf at the wholesale price of $8.00 and marked it up by 300%. What is the selling price?
a system of two equations contains one quadratic equation and one linear equation. the quadratic system of the equation is y=x^2+5x-9. the solutions of the system are (3,15) and (-1,-13). what is the linear equation in the system?
Help if you don't mind!
A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. $$ yd2
Answer:
2/9
Step-by-step explanation:
Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total of 105 miles each week, and runs a certain number of miles per week. If she cycles the same number of miles each day and runs the same number of miles each day, the equation 1/7(105+r)=20 represents the situation. Which describes the solution, r , to this equation?
To solve the equation, it was first required to get rid of the fraction by multiplying both sides by 7 and then to isolate r, the running miles, you subtract 105 from both sides resulting in Gisele running 35 miles per week.
Explanation:The question is asking to find the number of miles Gisele runs each week, which is represented by the variable r in the equation. We start with the equation: 1/7(105 + r) = 20. This equation is derived from the fact that Gisele covers a total of 20 miles each day, for 7 days, and that total comprises both her cycling and running mileages. If she cycles 105 miles each week, then the distance she runs is the remaining part of those total 20 miles she covers each day. We multiply both sides of the equation by 7 to get rid of the fraction: 105 + r = 140. Now, if we subtract 105 from both sides of the equation, we get the solution for r as; r = 140 - 105 = 35 miles. Hence, Gisele runs 35 miles each week.
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Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
The general form of the equation of a circle is x2 + y2 + 8x + 22y + 37 = 0.
The equation of this circle in standard form is
HELP WILL MEDAL,
steve paid 10% tax on a purchase of 40$ . select the dollar amount of the tax ad the total dollar amont steve paid on the number line.
Regular Polygons multiple choice
I think it's a - 60 but I'm not sure
sin A=0.7245
A=
sin D=0.4567
D=
What is a width of a rectangular prism with a length of 13 ft , vouime of 11,232 cubic feet, and height of 36 ft.?
Can someone solve this and show your work
g=6x
Solve for X
What is the value of n?
Adeeb bought 5 oranges and 15 apples from the farmer's market. The equation 5r+15a=10.5 represents the amount of money he spent. Faye bought 12 oranges and 11 apples, represented by the equation 12r+11a=11.45 . What was the cost of each apple
Name the sets of numbers to which -1/2 belongs
A.integers,rational numbers
B.whole numbers,natural numbers, integers
C.whole numbers,integers,rational numbers
D.rational numbers
5x2=5x^2 4x2+4x^2
1. What values of a, b, and c would you use in the quadratic formula for the following equation? 5x2+9x=4
2. attachment
3. What are the approximate solutions of 2x2-x+10=0?
4. Solve the equation using the quadric formula. 4x2+3x-10=0
5. Solve the equation using the quadric formula. -x2+27=6x
6. Which method is the best method for solving the equation? 8x2-13x+3=0
7. How many solutions are there for 5x2+7x-4=0?
8. The perimeter of a rectangle is 54 cm. The area of the same rectangle is 176 cm2. What are the dimensions of the rectangle?
1. The equation 5x^2+9x=4, can be rewritten as 5x^2+9x-4=0, where a=5 (the coefficient of the quadratic term), b = 9 (the coefficient of the linear term) and c = -4 (the independent term).
2. No attachment is shown.
3. To use the quadratic formula, the coefficients are: a = 2, b = -1 and c = 10. However, the discriminant, i. e., b^2 -4(a)(c) is negative, therefore, there is no real solution.
4. You have to use the quadratic formula, with a = 4, b = 3 and c = -10, as follows:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-3 \pm \sqrt{3^2 - 4(4)(-10)}}{2(4)} [/tex]
[tex]x = \frac{-3 \pm \sqrt{169}}{8} [/tex]
[tex]x_1 = \frac{-3 + 13}{8} [/tex]
[tex]x_1 = \frac{5}{4} [/tex]
[tex]x_2 = \frac{-3 - 13}{8} [/tex]
[tex]x_2 = -2 [/tex]
5. Rewriting the formula, so that all the terms are on one side and ordering the polynomial expression, gives: -x2-6x+27=0. Here a = -1, b = -6 and c = 27. Using the quadratic formula gives
[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{6 \pm \sqrt{6^2 - 4(-1)(27)}}{2(-1)} [/tex]
[tex]x = \frac{6 \pm \sqrt{144}}{-2} [/tex]
[tex]x_1 = \frac{6 + 12}{-2} [/tex]
[tex]x_1 = -9 [/tex]
[tex]x_2 = \frac{6 - 12}{-2} [/tex]
[tex]x_2 = 3 [/tex]
6. When the second grade polynomial has all of its coefficients (a, b and c) different than zero, like this case, the best method for solving the equation is the quadratic formula .
7. When the discriminant is greater than zero, there are two different solutions and when it is equal to zero, it has one double solution.
The discriminant for this case is 7^2 - 4(5)(-4) = 129. So, there are two different solutions .
8. Let's call the sides of the rectangle a and b.
perimeter formula: 2a + 2b = 54 cm (eq. 1)
area formula: (a)(b) = 176 cm2 (eq. 2)
Isolating a in equation 1, gives (units are omitted):
2a + 2b = 54
2a = 54 - 2b
a = 27 - b (eq. 3)
Replacing equation 3 into equation 2, gives (units are omitted):
(a)(b) = 176
(27 - b)(b) = 176
-b^2 + 27b - 176 = 0
Using quadratic formula, we get
[tex]x = \frac{-27 \pm \sqrt{27^2 - 4(-1)(-176)}}{2(-1)} [/tex]
[tex]x = \frac{-27 \pm \sqrt{25}}{-2} [/tex]
[tex]x_1 = \frac{-27 + 5}{-2} [/tex]
[tex]x_1 = 11 [/tex]
[tex]x_2 = \frac{-27 - 5}{-2} [/tex]
[tex]x_2 = 16 [/tex]
Then, there are two possible values for b, 11 cm and 16 cm. Replacing these values into equation 3 gives:
a = 27 - 11 = 16 cm
a = 27 - 16 = 11 cm
Therefore, the two sides are 11 cm and 16 cm long, despite their names.
NEED HELP PLZZ!!! Question 1. What are the dimensions of the matrix? {6,2,8,3}
A:1x4
B:1x1
C:4x4
D:4x1,
How many points did the team score in the 11th game and why?
Calculate the monthly finance charge based on the following data: Average daily balance = $40.00 Daily periodic rate = 0.06% (state as a decimal) Days in cycle = 25
Answer: 60 cents
Step-by-step explanation:
Find the values of a and b for which LMNO is a parallelogram.
A.
a = 50, b = 60
B.
a = 60, b = 50
C.
a = 50, b = 70
D.
a = 70, b = 50
how can you eliminate fraction from each side of the equation to make finding the solution easier 1/2(x-4)=1/3x+2
What is the square root of 64y^16?
The square root of the given algebraic expression [tex]64y^{16}[/tex] is [tex]\bold{8y^8}[/tex]
What is an algebraic expression?"It is a mathematical statement which consists of numbers, variables and mathematical operations."
For given question,
We have been given an algebraic expression [tex]64y^{16}[/tex]
We need to find the square root of given algebraic expression.
[tex]\Rightarrow \sqrt{ 64y^{16}}\\\\= \sqrt{ 64\times y^{16}} \\\\=\sqrt{64} \times \sqrt{y^{16}} \\\\=8\times (y^{16})^{\frac{1}{2} }\\\\=8\times y^{\frac{16}{2} }\\\\= 8\times y^8[/tex]
Therefore, the square root of the given algebraic expression [tex]64y^{16}[/tex] is [tex]\bold{8y^8}[/tex]
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As 25 foot building casts a 8 foot shadow. How tall is the building that casts a 20 foot shadow at the same time?
What fraction of the word, "Supercalifragilisticexpialidocious" has the letter 'i' in it?
The fraction of the word 'Supercalifragilisticexpialidocious' that has the letter 'i' is 7/34, which is already in its simplest form.
The word 'Supercalifragilisticexpialidocious' contains 34 letters. To find what fraction of this word has the letter 'i' in it, we first need to count how many times the letter 'i' appears. The letter 'i' appears 7 times in the word. Therefore, the fraction of the word that has the letter 'i' in it is 7/34.
It is important to note that this fraction can be simplified. However, since both 7 and 34 are prime numbers with respect to each other (they have no common factors other than 1), the fraction 7/34 is already in its simplest form.
A number written below and to the right of a chemical symbol in a formula is called a
Solve f(2) for f(x)=x-51
f(2)= [?]
Under which market structure does a firm have negligible influence over product pricing
Answer:
perfect competition
Step-by-step explanation:
because i did the test.
A cylinder has a radius of 12 m and a height of 9 m.
What is the exact volume of the cylinder?
108π m³
216π m³
972π m³
1296π m³
I'm pretty sure its 1296π m³ Hope this helps!
Mr. Jimenez deposited money into an account in which interest is compounded quarterly at a rate of 2.6%.
How much did he deposit if the total amount in his account after 4 years was $7160.06, and he made no other deposits or withdrawals?
Formula Is : A = P ( 1 + r/n ) ^ n * t
Answer Choices:
a. $6455
b. $6798
c. $6887
d. $6977
Answer:
Option a. [tex]\$6,455[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=4\ years\\ A=\$7,160.06\\ r=0.026\\n=4[/tex]
substitute in the formula above and solve for P
[tex]7,160.06=P(1+\frac{0.026}{4})^{4*4}[/tex]
[tex]7,160.06=P(1+\frac{0.026}{4})^{4*4}[/tex]
[tex]P=7,160.06/1.109227=\$6,455[/tex]
25, 8, 10, 35, 5, 45, 40, 30, 20 What is the upper quartile of the data set above?A.35
B. 37.5
C. 37
D. 40,
solve the equation x-5=15 and state Euclid's axiom used