Let's pretend the base price is $100
If the shopper brings enough money to cover 25% of the base price then they are bringing $25
The bargain promises 25% off of the base price of $100, meaning that the bargain price will be $75
The shopper cannot purchase the item because they only brought $25 when they should have brought $75
The shopper went home disappointed because combining a 25% off coupon and paying 25% of the base price results in a net discount of 0%, not the expected 50%.
The shopper went home disappointed because they assumed that by combining a 25% off coupon with paying 25% of the base price, they would get a 50% discount on the item. However, these discounts are applied sequentially, so the actual discount is less than 50%. In this case, the final discount would be 25% off the base price minus 25% of the base price, resulting in a net discount of 0%. The shopper didn't get the expected bargain they were hoping for because the discounts do not add up linearly but are applied to the remaining amount after the previous discount.
To know more about discount, refer here:
https://brainly.com/question/34935576
#SPJ12
solve for x in the equation x2+14 x+17=-98
Answer:
x=−7+√130 or x=−7−√130
Step-by-step explanation:
Answer:
Step-by-step explanation:
x²+14x+17=-98
add 98 to each side
x²+14x+115=0
Solve with quadratic formula
a=1
b=14
c=115
\frac{-14 ±\sqrt{14^2-4*1*115} }{2*1}
Triangle ABC and triangle CFG are similar right triangles. Which proportion can be used to show that the slope of AC is equal to the slope of CG? A) 0 − 2 3 − 0 = 2 − 6 9 − 3 B) 0 − 2 3 − 0 = 6 − 2 9 − 3 C) 2 − 0 3 − 0 = 6 − 2 9 − 3 D) 3 − 0 2 − 0 = 9 − 3 6 − 2
Answer:
C
Step-by-step explanation:
proportion can be used to show that the slope of AC is equal to the slope of CG
Slope of AC = (2-0)/(3-0) = 2/3
Slope of CG = (6-2)/(9 -3) = 2/3
So answer is :
C)
2 − 0 6 − 2
------------ = -----------
3 − 0 9 − 3
Answer:C
Step-by-step explanation:
Which answer shows 0.00897 written in scientific notation?
Answer:
8.97*10^-3Step-by-step explanation:
just did the question and got it right.
on monday, carly walked 3 miles and ran 2 miles for a total of 78 minites on a treadmill. on thursday she walked 2 miles and ran 3 miles for atotal of 72 minutes using the same speed setting for the treadmill as she did on Monday. let wand r represent the rates, in minutes per mile , that carly walked a d ran on the treadmill, respectivelsy
Answer:
w=18 minutes per mile, r=12 minutes per mile
Step-by-step explanation:
Let w and r represent the rates, in minutes per mile, that Carly walked and ran on the treadmill, respectively.
1. On Monday, Carly walked 3 miles and spent 3w minutes, ran 2 miles and spent 2r minutes. In total Carly spent 78 minutes, so
3w+2r=78
2. On Thursday, Carly walked 2 miles and spent 2w minutes, ran 3 miles and spent 3r minutes. In total Carly spent 72 minutes, so
2w+3r=72
Solve the system of two equations:
[tex]\left \{ {{3w+2r=78} \atop {2w+3r=72}} \right.[/tex]
Multiply the first equation by 2, the second equation by 3 and subtract them:
[tex]2(3w+2r)-3(2w+3r)=2\cdot 78-3\cdot 72\\ \\6w+4r-6w-9r=156-216\\ \\-5r=-60\\ \\r=12[/tex]
Substitute it into the first equation:
[tex]3w+2\cdot 12=78\\ \\3w=78-24\\ \\3w=54\\ \\w=18[/tex]
Simplify 4 to the 4th over 4 to the 6th
Answer:
3/5^3 = 27
125
= 0.216
Step-by-step explanation:
Power: 3
5
^ 3 = 33
53
= 27
125
After 3 months 5004 deposited in a savings account with simple interest had earned 162.63 in interest. What was the interest rate
Answer:
13%
Step-by-step explanation:
Please use the $ sign.
The simple interest formula is i = p*r*t, where p is the principal amount, r is the interest rate as a decimal fraction, and t is the time in years. Here, t = 1/4 year; r is unknown, p is $5004 and i is $162.63.
Writing this out with the given info, we get:
$162.63 = $5004*r*(1/4).
We can solve this for r by multiplying both sides by 4/$5004:
(4/$5004)($162.63) = (4/$5004)($5004)*r*(1/4) = r
Evaluating r, we get (4)($162.63)/$5004 = 0.13
The interest rate, r, is 0.13, or 13%.
Rectangle ABCD is rotated 360 around the orgin. What is the coordinate of C’
Answer:
-4,4
Step-by-step explanation:
I just answered it on edge and got it right trust me
The coordinate of the point C' after the rotation of 360 degrees will be the same as the coordinate of C.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
Rectangle ABCD is rotated 360 around the origin.
If any object is rotated by 360 degrees about the origin. Then the position of the object does not change.
Then the coordinate of the point C' after the rotation of 360 degrees will be the same as the coordinate of C.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ6
PLEASE HELP ME NOW URGENT
ANSWER
[tex]y = 3 \pm \sqrt{21} [/tex]
EXPLANATION
The quadratic equation is:
[tex] {y}^{2} - 6y - 12 = 0[/tex]
Group variable terms:
[tex] {y}^{2} - 6y = 12[/tex]
Add the square of half, the coefficient of y to both sides.
[tex] {y}^{2} - 6y + ( - 3) ^{2} = 12 + ( - 3) ^{2} [/tex]
[tex] {y}^{2} - 6y + 9= 12 + 9[/tex]
The LHS us now a perfect square trinomial:
[tex]{(y - 3)}^{2}= 21[/tex]
Take square root:
[tex]y - 3 = \pm \sqrt{21} [/tex]
[tex]y = 3 \pm \sqrt{21} [/tex]
The first choice is correct.
3±√21. The equation [tex]y^{2}-6y-12=0[/tex] has two possible solutions 3+√21 y 3-√21.
If we have a general quadratic equation [tex]ay^{2} +by+c=0[/tex] we can solves the equation by completing the square. First, we divide the quadratic equation by a, we obtain [tex]y^{2} +\frac{b}{a} y+\frac{c}{a} =0[/tex].
For this problem, we have [tex]y^{2}-6y-12=0[/tex]
We can skipped division in this example since the coefficient of [tex]x^{2}[/tex] is 1.
Move the term c to the right side of the equation
[tex]y^{2}-6y=12[/tex]
Completing the square on the left side of the equation and balance this by adding the same number to the right side of the equation, with b = -6.
[tex](\frac{b}{2})^{2} =(\frac{-6}{2})^{2}=(-3)^{2} =9[/tex]
[tex]y^{2}-6y+9=12+9[/tex]
[tex](y-3)^{2}=21[/tex]
Take the square root on both sides of the equation:
y - 3 = ±√21
Add 3 from both sides:
y = 3 ± √21
Can someone please help
Answer:
m∠4 = 111°
Step-by-step explanation:
∠4 and ∠5 are same side (interior) angles, and since lines A and B are parallel, they will be congruent.
So, m∠4 = m∠5
Substitute: m∠4 = 111°
Box A has a volurme of 12 cublic meters. Box B is similar to box A. To create Box B, Box A's dimensions were multiplied by five. What is the volume of Box B?
A) 60 m^3
B)300 m^3
C) 1,500 m^3
D) 7,500 m^3
Answer:
C) 1,500 m³Step-by-step explanation:
[tex]k - \text{scale of similar}[/tex]
[tex]\text{If}\ AB\sim CD\ \text{in scale}\ k,\ \text{then}\ \dfrac{length_{AB}}{length_{CD}}=k[/tex]
[tex]\text{If}\ A\sim B\ \text{in scale}\ k,\ \text{then}\ \dfrac{area_A}{area_B}=k^2[/tex]
[tex]\text{If}\ A\sim B\ \text{in scale}\ k,\ \text{then}\ \dfrac{volume_A}{volume_B}=k^3[/tex]
[tex]\text{We have}\ B\sim A\ \text{in scale}\ k=5.\ V_A=12\ m^3,\ \text{therefore}\\\\\dfrac{V_B}{V_A}=k^3\to\dfrac{V_B}{12}=5^3[/tex]
[tex]\dfrac{V_B}{12}=125[/tex] multiply both sides by 12
[tex]V_B=1500\ m^3[/tex]
Solve the equation !!!! HELP PLEASE
Answer:
x=-1/2
Step-by-step explanation:
Given:
8x^3+12x^2+6x+1=0
Making factors of the given polynomial by using cube formula, given as
(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
Re-writting the given polynomial:
(2^3.x^3) + 3(2^2.x^2)(1)+3(2x)(1) + (1^3)=0
Hence (2^3.x^3) + 3(2^2.x^2)(1)+3(2x)(1) + (1^3) can be written as (2x+1)^3
(2x+1)^3= 0
2x+1= 0
2x= -1
x= -1/2 !
a maple tree is 4.2 meters tall. A pine tree is 1.02 shorter that the maple tree. An oak tree is 1.89 taller than the pine tree . How tall is the oak tree?
Answer:
7.782352941
Step-by-step explanation:
4.2 divided by 1.02 the multiply the out come of that by 1.89 to get 7.782352941
WILL CROWN BRAINLIEST, 5/5 RATING, AND LIKE!
A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn.
a. What is the probability of selecting a purple marble and then a white marble?
b. What is the probability of selecting two white marbles?
c. Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work
Hey there!
If we have two white marbles and seven purple marbles, our first probability is out of nine.
First of all, we have the probability of selecting a purple marble, 7/9.
Now, if we do not replace it, there are only eight marbles left. Therefore, getting a white marble is 2/8, or 1/4.
We multiply these probabilities together to get our answer to a.
7/9(1/4)= 7/36
a. 7/36
Now, let's do b. We have 2/9, and then 1/8, giving us 1/36.
b. 1/36
Now, let's calculate selecting two purple to help us with C.
We have 7/9, and then 6/8, or 3/4.
7/9(3/4)= 7/12
Since there is a majority of purple marbles, there is a C) greater probability of selecting two purple marbles in a row.
I hope this helps!
Answer:
A. 7:9 B. 1:4 C. Purple
Step-by-step explanation:
A. Because there are 7:9 B. Because 1:4 C. Because Purple has more
The library is 5 miles from the post office. How many yards is the library from the post office?
Answer:
8800
Step-by-step explanation:
a yard is equals 3 feet a mile is 5 280
Answer: 8800 yards
Step-by-step explanation:
1 mile = 1760 yards
1760 yards x 5 miles = 8800 yards
How do you write the equation in slope intercept form given (4,1) and (5,0)?
Answer:
y=-1x+5
Step-by-step explanation:
[tex]\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-1}{5-4}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-1=-1(x-4) \\\\\\ y-1=-x+4\implies y=-x+5[/tex]
Which statement is true about the square pyramid below?
The base has an area of 464 square inches.
The base has an area of 928 square inches.
Each of the lateral faces has an area of 464 square inches.
Each of the lateral faces has an area of 928 square inches.
Answer:
The missing image from the problem is attached
The answer is (C) Each of the lateral faces has an area of 464 square inches.
Step-by-step explanation:
Base is a square that is 32 in
The height of one of the 4 lateral faces is 29 in
-----------------------------------------------------------------
Base is L*W --> 32*32 = 1024 square inches
(1) Lateral face is 1/2*b*h = 0.5*32*29 = 464 square inches
----------------------------------------------------------------
Since the answers are about the face and/or one lateral face only, those two numbers are important. (C) is the only answer that matches
Each of the lateral faces has an area of 464 square inches , Option C is the correct answer
What is a square pyramid ?A square pyramid is a three dimensional figure , having square as the base and four triangular faces which meet at a single point called at a single point.
It is given in the question (figure is attached )
Base of the square pyramid is 32 in
The height of one of the 4 triangle is 29 in
Area of the base = 32* 32
= 1024 sq.in
Area of the lateral face (triangle ) = 1/2*b*h
= (1/2) * 32 * 29
= 464 sq. in
Therefore Option C is the correct answer , Each of the lateral faces has an area of 464 square inches.
To know more about square pyramid
https://brainly.com/question/15219357
#SPJ2
A sports store had a 60% off sale. Justin bought a pair of sneakers that were on sale for $22.40. What was the original price ?
Hello wendywagor!
Let x = the original price of the sneakers
x - .60x = 22.40
.40x = 22.40
x = $56
Thanks For Using Brainly.com
Have A Great rest of Your Day!
Which of the following is equal to the expression below?
[tex]
\frac{\sqrt{9}}{\sqrt{81}}=\frac{3}{9}=\boxed{\frac{1}{3}}
[/tex]
The answers are A and B.
Hope this helps.
r3t40
HELP!!!!!! READ BELOWW
Answer:
The missing words
# x ⇒ # y ⇒ # 4 ⇒ # 0
Step-by-step explanation:
* Lets revise how to find the inverse function
- At first write the function as y = f(x)
- Then switch x and y
- Then solve for y
- The domain of f(x) will be the range of f^-1(x)
- The range of f(x) will be the domain of f^-1(x)
* Now lets solve the problem
∵ f(x) = √(x - 4)
∴ y = √(x - 4) ⇒ switch x and y
∴ x = √(y - 4) ⇒ square the two sides
∴ x² = [√(y - 4)]² ⇒ cancel the root by squaring
∴ x² = y - 4 ⇒ add 4 to the both sides
∴ y = x² + 4
∴ f^-1(x) = x² + 4
* To find the domain of the inverse, find the range of the function
∵ The domain of f(x) is ⇒ x - 4 ≥ 0 (no negative value under√)
∴ the domain is x ≥ 4
- Substitute this value in the function to find the range
∵ x = 4
∴ y = √(4 - 4) = 0
∴ y ≥ 0
- The range of f(x) is y ≥ 0
∴ The domain of the inverse f^-1(x) is x ≥ 0
- The missing words
# x
# y
# 4
# 0
a hula hoop has a radius of 19 inches. what is the length of the arc subtending 1/4 of the hoop?
A. 43.8
B. 14.9
C. 29.8
D. 59.7
Find the circumference:
Circumference = 2 x PI x radius
Circumference = 2 x 3.14 x 19 = 119.32
Divide by 4: 119.32 / 4 = 29.83 rounded to 29.8
The answer is C.
Answer:
C. 29.8 inches
Step-by-step explanation:
Length of complete hula hoop(L)= circumference of hoop
=>[tex]L=2\pi r[/tex]
where radius, r= 19 inches
Therefore length of arc(l) subtending 1/4 of the hoop is
=>[tex]l=\frac{1}{4}\times L=\frac{1}{4}\times2\pi r=\frac{\pi r}{2}[/tex]
=>[tex]l=\frac{\pi \times 19}{2}inches=29.8 inches[/tex]
Thus the length of the arc subtending 1/4 of the hoop is 29.8 inches
The inequality x + 2y ≥ 3 is satisfied by which of the following points? (Select all that apply.)
(1, 1)
(-3, 4)
(-2, 2)
(5, -2)
Answer:
First option: (1, 1)
Second option: (-3, 4)
Step-by-step explanation:
Substitute each point into the inequality:
Point (1,1):
[tex]x + 2y \geq3\\\\(1) + 2(1) \geq3\\\\3\geq3[/tex]
(The inequality is satisfied with this point)
Point (-3, 4):
[tex]x + 2y \geq3\\\\(-3) + 2(4) \geq3\\\\5\geq3[/tex]
(The inequality is satisfied with this point)
Point (-2, 2):
[tex]x + 2y \geq3\\\\(-2) + 2(2) \geq3\\\\2\geq3[/tex]
(The inequality is not satisfied with this point)
Point (5, -2):
[tex]x + 2y \geq3\\\\(5) + 2(-2) \geq3\\\\1\geq3[/tex]
(The inequality is not satisfied with this point)
Answer:
Your answer would be A and B
Step-by-step explanation:
A fish tank has a length of 14cm, a width of 25cm, and a height of 15cm. It is only filled with water up to a height of 7 centimeters. How much more water is needed to fill the tank to the brim?
Answer:
2800 cm^3, or 2.8 liters
Step-by-step explanation:
The base of the tank remains 14 cm × 25 cm. The remaining height is 15 -7 = 8 cm, so the remaining volume is ...
(14 cm)(25 cm)(8 cm) = 2800 cm^3 = 2.8 liters
_____
1 liter = 1000 cm^3
Select the correct location on the number line. Which point on the number line represents the approximate volume of a cylinder with a radius of 4 units and a height of 4 units? Use 3.14 for π.
Answer:
the answer is 37.7 so the point closest to 40.
Step-by-step explanation:
Answer: the one between 30 and 40
Step-by-step explanation:
Solve the equation
3x-1/2y=2
Answer:
Step-by-step explanation:
Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:
x in terms of y: Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction: 6x - y = 4. Now add y to both sides to isolate 6x: 6x = 4 + y.
Last, divide both sides by 6 to isolate x:
x = (4 + y)/6
y in terms of x:
y = 6x - 4
If you want a numerical solution, please provide another equation in x and y and solve the resulting system.
Find f(-3) for f(x) = 4(2)^x
Hey there! :D
f(-3)= 4(2)^x
Just plug in -3 as x and solve.
4(2)^-3
First do the exponent, and then multiply the four on the outside.
4(1/8)
=1/2
I hope this helps!
~kaikers
Final answer:
To calculate f(-3) for the function f(x) = 4(2)ˣ, substitute -3 into the function, yielding f(-3) = 1/2 after simplifying 4 times 2 raised to the power of -3.
Explanation:
To find f(-3) for the function f(x) = 4(2)ˣ, simply substitute -3 for x in the equation. Here's How:
Start with the original function f(x) = 4(2)ˣ.
Replace every x with -3 to get f(-3) = 4(2)⁻³.
Calculate 2⁻³, which equals 1/8 because negative exponents represent the reciprocal of the base raised to the positive exponent.
Now, multiply 4 by 1/8 to get f(-3) = 4 * 1/8 = 1/2.
Therefore, f(3) for the given function equals 1/2.
The president of a certain University receives a salary that is three times the salary of one of the department heads the total of the two salaries is 190000 what is the salary of the president of the University
Answer:
$142500
Step-by-step explanation:
We are given that the resident of a certain University receives a salary that is three times the salary of one of the department heads.
Assuming [tex]x[/tex] to be the salary of the department head, if the total of the two salaries is $190000, we are to find the salary of the president of the University.
We can write an equation in terms of [tex]x[/tex]:
[tex]3x+x=190000[/tex]
[tex]4x=190000[/tex]
[tex]x=47500[/tex]
Salary of the president of the University = [tex]3(47500)[/tex] = $142500
Can someone help with this plz
For this case we must simplify the following expression:
[tex]\sqrt {\frac {16} {25}}[/tex]
We can rewrite 16 as:[tex]2 ^ 4 = 2 * 2 * 2 * 2[/tex]
We can rewrite 25 as:[tex]5 ^ 2 = 5 * 5[/tex]
[tex]\sqrt {\frac {2 ^ 4} {5 ^ 2}} =\\\frac {\sqrt {2 ^ 4}} {\sqrt {5 ^ 2}} =[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
Then, rewriting the expression:
[tex]\frac {2 ^ 2} {5} =\\\frac {4} {5}[/tex]
Answer:
[tex]\frac {4} {5}[/tex]
If two distinct lines intersect, which is NOT necessarily true? A) The lines are not parallel. B) The lines are perpendicular. C) The lines form angles at the intersection. D) The intersection of the two lines is a point.
Answer:
B is not necessarily true
Step-by-step explanation:
A) This is always true
B) This is not necessarily true
When two lines intersect, they form angles at the intersection as D says, but that does not mean that the angle will always be 90 degrees as is required for the two intersecting lines to be perpendicular
C) This is always true
D) This is always true
Option B) The lines are not perpendicular is not necessarily true.
What is the Intersection of Two lines?When two lines intersect and following are the three different possibilities:
1) They are parallel, if lines are parallel they can never intersect.
2)They cross each at an angle and the point of intersection is unique that is they intersect at only one point.
3) Two lines coincide, that is every point on line 1 is a point on line 2.
Now
In option B it is given that lines are perpendicular that is the specific case of (2) When angle is 90°.
Therefore, it is not necessarily true.
To know more about intersection of lines refer to:
https://brainly.com/question/17273799
#SPJ2
Greg’s gas tank is 1/3 full after he buys 2 gallons of gas it is 1/2 full how many gallons can Greg’s tank hold
Answer:
12 gallons
Step-by-step explanation:
let x be the amount tank can hold, then
[tex]\frac{1}{3}[/tex] x + 2 = [tex]\frac{1}{2}[/tex] x
Multiply through by 6
2x + 12 = 3x ( subtract 2x from both sides )
12 = x
The tank can hold 12 gallons
Greg's gas tank can hold 12 gallons of gas. We know this because when Greg's tank is 1/3 full and he buys 2 gallons of gas it becomes 1/2 full. The difference between 1/2 and 1/3 of a tank, or 1/6 of the tank, is equal to 2 gallons.
Explanation:
The subject of this question is mathematics, specifically within the scope of fractions and simple algebra. The question tells us that when Greg's gas tank is 1/3 full and he adds 2 gallons, the tank becomes 1/2 full. This tells us that the difference between 1/2 and 1/3 of the tank's capacity is equal to 2 gallons. In mathematical terms, this can be represented as 1/2 - 1/3 = 2/6 - 2/6 = 1/6. Therefore, 1/6 of Greg's gas tank equals 2 gallons. If 1/6 of the tank equals 2 gallons, the entire tank (or 6/6) would hold 12 gallons of gasoline.
Learn more about Fractions here:
https://brainly.com/question/10354322
#SPJ3
1. m+ 10< 16
2. -2g28_
3. y-22 < 19
4. -7b>-28
5. h+30 < 0
6. -5x < 10
7. t+13 > 22
8. w-12 <16
Answer:
[tex]1.\ m<6\\2.\ g\leq-4\\3.\ y<41\\4.\ b<4\\5.\ h<-30\\6.\ x>-2\\7.\ t>9\\8.\ w<28[/tex]
Step-by-step explanation:
1. Subtract 10 from both sides. Then:
[tex]m+ 10< 16\\ m+ 10-10< 16-10\\m<6[/tex]
2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:
[tex]-2g\geq8\\\\\frac{-2g}{-2}\geq\frac{8}{-2}\\\\g\leq-4[/tex]
3. Add 22 to both sides. Then:
[tex]y-22< 19\\ y-22+22<19+22\\y<41[/tex]
4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:
[tex]-7b>-28\\\\\frac{-7b}{-7}>\frac{-28}{-7}\\\\b<4[/tex]
5. Subtract 30 from both sides. Then:
[tex]h+30<0\\ h+30-30<0-30\\h<-30[/tex]
6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:
[tex]-5x<10\\\\\frac{-5x}{-5}<\frac{10}{-5}\\\\x>-2[/tex]
7. Subtract 13 from both sides. Then:
[tex]t+13>22\\ t+13-13>22-13\\t>9[/tex]
8. Add 12 to both sides. Then:
[tex]w-12< 16\\ w-12+12<16+12\\w<28[/tex]