If im not wrong, i believe the answer is C.
Cassie received a 20%-off coupon and a $10-off coupon from a department store. She visits the department store during a tax-free sale and plans to spend no more than $25.20. She also plans to use both of the coupons she received on her purchase. If this situation is modeled by the inequality below, what must be the original purchase total, x, before the discounts are applied?
0.8x-$10<=$25.20
A.
The original purchase total must be at least to $21.50 before the discounts are applied.
B.
The original purchase total must be at most to $44 before the discounts are applied.
C.
The original purchase total must be at least to $44 before the discounts are applied.
D.
The original purchase total must be at least to $35.20 before the discounts are applied.
Answer:
B. The original purchase total must be at most to $44 before the discounts are applied.
Step-by-step explanation:
Solve the inequality by adding $10, then dividing by 0.8.
0.8x -$10 ≤ $25.20
0.8x ≤ $35.20 . . . . . . . . add $10
x ≤ $35.20/0.8 . . . . . . . divide by 0.8
x ≤ $44 . . . . . . . . . the before-discount purchase must be at most $44
BRAINLIEST TO BEST ANSWER
plz explain*
Answer:
0
Step-by-step explanation:
-3x +4y = 20 Multiply this equation by 2.
======================
6x + 3y = 15
-6x + 8y = 40 Notice that -3 becomes -6, 4 becomes 8 and 20 becomes 40
===================== Add
11y = 55 The xs have disappeared. Divide by 11
y = 55/11
y = 5
=====================
6x + 3y = 15
6x + 3*5 = 15
6x + 15 = 15
6x = 15 - 15
6x = 0
6x/6 = 0/6
x =0
Answer:
0
Step-by-step explanation:
HELP ASAP 50 POINTS!
What is the slope and y intercept of the equation of the graph?
Fine two pints that cross the x and Y axis to use to find the slope.
Slope is the change in Y over the change in x.
(-2,0) (0,3)
Slope = 3-0 / 0- -2 = 3/2
The slope is 3/2 and the Y - intercept is where it crosses the Y axis when X is o, which is 3
The answer is B.
Answer:
B. m = 3/2; y-int = 3.
Step-by-step explanation:
The y intercept is the point where the line crosses the y-axis. That is 3.
The slope m = rise / run.
So if we take the y-intercept and the x intercept it is 3/2.
Help me out please first one with correct answer gets brainest
Answer:
∠D = 13°
Step-by-step explanation:
∠A and ∠D are vertical angles and thus are congruent, hence
x - 2 = - 3x + 58 ( add 3x to both sides )
4x - 2 = 58 ( add 2 to both sides )
4x = 60 ( divide both sides by 4 )
x = 15
∠D = x - 2 = 15 - 2 = 13°
Angie's car is valued at $22,000, and she owes $20,000 on it. What is her
current equity?
Answer: 2,000
Step-by-step explanation: 22,000 - 20,000 = 2,000
Angie’s current equity on her car is 2,000
Answer:
[tex]\$2,000[/tex]
Step-by-step explanation:
Equity is defined by difference between total value of the asset and total liabilities.
Value of Angie's car is [tex]\$22,000[/tex] and she owes [tex]\$20,000[/tex] which means:
Total value of asset (car) = [tex]\$22,000[/tex]
Total liability = [tex]\$22,000[/tex]
∴ Equity = [tex]22000 - 20000 = 2000[/tex]
Hence Angie's current equity is [tex]\$2,000[/tex]
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
The moose population in a New England forest can be modeled by the function.
The answer is A: y=96 The maximum number of moose that the forest can sustain at one time.
Answer: A) y = 96,
The maximum number of moose the forest can sustain at one time.
Step-by-step explanation:
The horizontal asymptote (H.A.) is the value of y that the graph cannot cross.
Since the degree of the numerator equals the degree of the denominator, divide their coefficients to find the H.A.
[tex]y=\dfrac{60}{0.625}\\\\\\\large\boxed{y=96}[/tex]
Steve watched television for three over four hours are Monday and 5/6 hour on Tuesday how many longer did he watch television on Tuesday that on Monday
Answer:
1/12 hour
Step-by-step explanation:
Subtract 3/4 hr from 5/6 hr: use the LCD 12:
Subtract 9/12 from 10/12 hr: The difference is 1/12 hr.
Steve watched TV 1/12 hour longer on Tuesday than on Monday. That's 5 minutes.
Please please help me
Answer:
x = 5.5
Step-by-step explanation:
Given 2 secants intersecting the circle from a point outside the circle then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 14) = 6(6 + 12)
x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )
x² + 14x - 108 = 0 ← in standard form
with a = 1, b = 14 and c = - 108
Using the quadratic formula to solve for x
x = ( - b ± [tex]\sqrt{b^2-4ac}[/tex] ) / 2a
= ( - 14 ± [tex]\sqrt{14^2-(4(1)(-108)}[/tex] ) / 2
= ( - 14 ± [tex]\sqrt{196+432}[/tex] ) / 2
= ( - 14 ± [tex]\sqrt{628}[/tex] ) / 2
x = [tex]\frac{-14-\sqrt{628} }{2}[/tex] or x = [tex]\frac{-14+\sqrt{628} }{2}[/tex]
x = - 19.5 or x = 5.5 ( to 1 dec. place )
However x > 0 ⇒ x = 5.5
This is a multiple choice question. Not sure how to solve, mainly because my textbook confuses me. Would appreciate help!!
"Mary Ward recently leased a new convertible. The $1600 due at signing includes the title and license fee. Her monthly lease payments are $700 per month. The leasing company allows 12.000 miles per year with a $0.12 per mile overage charge. If the total lease cost is $26,800, for how many months does the lease last?"
a) 24
b) 36
c) 48
d) 60
Answer: 36 months
Step-by-step explanation:
total for car $26,800
down payment - $ 1,600
amount leased $25,200
700 monthly divided into $25,200
700/25200 = 36
What are the first four terms of the sequence represented by the expression n(n – 2) – 3? A. –5, –2, 1, 4 B. –4, –3, 0, 5 C. –3, 0, 3, 6 D. –2, 0, 2, 4
ANSWER
B. –4, –3, 0, 5
EXPLANATION
The general formula for the sequence is:
[tex]f(n)=n(n-2) - 3[/tex]
To find the first term we substitute n=1
[tex]f(1)=1(1 - 2) - 3 = - 4[/tex]
To find the second term, we substitute n=2
[tex]f(2)=2( 2-2) - 3 = - 3[/tex]
To find the third term,we put n=3;
[tex]f(3)=3(3-2) - 3 = 0[/tex]
To find the fourth term, we put n=4
[tex]f(n)=4(4-2) - 3 = 5[/tex]
The correct choice us B
Answer:
B
Step-by-step explanation:
If tan^(2)x = 4 - 2tanx, then tanx =
Answer:
tan(x) = -1 ±√5
Step-by-step explanation:
This is a quadratic equation in tan(x). Let z = tan(x). Then the equation is ...
z² = 4 - 2z
z² +2z = 4 . . . . . . . add 2z
z² + 2z + 1 = 5 . . . . add 1 to complete the square
(z +1)² = 5 . . . . . . . . write as a square
z +1 = ±√5 . . . . . . . square root
z = -1 ±√5 = tan(x) . . . . . subtract 1; use definition of z
Could someone help me with this geometry question
Answer:
54 degrees I think is correct
PLEASE HELP ASAP 66 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
A) Quadratic trinomial
B) Quadratic binomial
C) Cubic binomial
D) Cubic trinomial
^ answers choices, since mine are glitched
Answer: 2p^2-p
: Quadratic Binomial
Step-by-step explanation:
a local pizzeria offers 11 topping for their pizzas and you can choose any 5 of them for one fixed price how many different types of pizzas can you order with 5 toppings
Step-by-step Answer:
Customer is allowed to choose any five, where order does not count.
This means that there are 11 toppings to choose from for the first one, 10 for the second, 9 for the third, 8 for the fourth, and 7 for the last for a total of 11*10*9*8*7 = 11!/6! choices.
Since order does not count, we have over-counted by 5!, so the final answer should be 11!/(6!*5!) choices.
Mathematically, this number is represented by
C(11,5) = 11!/(6!5!) = 462, and is read
"Combination of 5 choices out of 11", or simply "11 choose 5".
After constructing a relative frequency distribution summarizing IQ scores of college students, what should be the sum of the relative frequencies?
A. If percentages are used, the sum should be a 100%. If proportions are used, the sum should be 1.
B. If percentages are used, the sum should be 1%. If proportions are used, the sum should be 100.
C. If percentages are used, the sum should be 0. If proportions are used, the sum should be 0.
D. If percentages are used, the sum should be 100%. If proportions are used, the sum should be 100.
Answer:
Option A. If percentages are used, the sum should be a 100%. If proportions are used, the sum should be 1.Explanation:
The relative frequency can be measured as a ratio (proportion) or as a percentage.
As a ratio, the relative frequency is the number of times that the desired outcome is observed (either theoretically or experimentally) divided by the total number of possible outcomes (theoretically) or observed (experimentally).
As a percentage, the relative frequency is the ratio multiplied by 100.
This shows it mathematically:
relative frequency of event 1 = frequency of event 1 / number of eventsrelative frequency of event 2 = frequency of event 2/number of eventsrelative frequency of event n = freqquency of event n/number of eventsTotal relative frequency = sum of of relative frequencies= sum of all (n) frequencies / number of events =
= number of events / number of events = 1
As a percentage, total relative frequency = 1 × 100 = 100
In a relative frequency distribution, the sum of relative frequencies should equal 100% if expressed in percentages, or 1 if expressed in proportions. This signifies that all the data has been accounted for.
Explanation:After constructing a relative frequency distribution, whether that is summarizing IQ scores of college students or analyzing other data sets, the sum of the relative frequencies will depend on the format in which they are expressed. The sum differs based on whether percentages or proportions were used.
If percentages are used to express the relative frequency, the sum of all percentages should be 100%. This indicates that 100% of the given data set has been account for in the distribution. This is true for all relative frequency distributions, not just those involving IQ scores.
If proportions are used, then the sum of all proportions should equal 1. A proportion is a part-to-whole comparison, where the total or whole is represented by the number 1.
So, the correct answer to your question is A. If percentages are used, the sum should be 100%, if proportions are used, the sum should be 1.
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Please HELP MEEEEEEEEEEEEEEEEEE
Answer:
Choice c.
Step-by-step explanation:
The domain of a rational function is found where the denominator of the fraction is equal to 0. These are the values that are NOT allowed. We have to factor the denominator completely to find these values that make the denominator equal 0. In other words, our denominator right now is:
[tex]x(x^2-16)[/tex]
we set each factor equal to 0:
x = 0 or
[tex]x^2-16=0[/tex]
The left side of that quadratic is the difference of perfect squares, so it factors into the 2 binomials:
(x + 4)(x - 4)
Setting each of those equal to 0 we can solve for the values of x that are not allowed:
If x + 4 = 0, then
x ≠ 4.
If x - 4 = 0, then
x ≠ -4
So the domain for this rational function is:
{x I x ≠ ±4, x ≠ 0},
which is c.
Please help..................
Answer:
128.605m^2
Step-by-step explanation:
because the kite has equal sides you can simply just do 8.5m x 10.2m+8.5m x 4.93m :D
The senior class of a high school needs to decide where to go for their senior trip. They have four choices: A cruise, a camping trip, a snorkeling trip, or to the Great Wall of China.
Due to budget constraints they cannot survey all 800 people in the senior class so they randomly select 150 people from the class and ask them their preference. The table shows the results.
Using the sample results, estimate the proportion of the entire population that would like to take a cruise to Bermuda.
Answer:
A
Step-by-step explanation:
5 of the 150 want to take the cruise, so:
p = 5/150
p = 0.03
Answer A.
Answer:
Option A
Step-by-step explanation:
Due to budget constraints they cannot survey all 800 people in the senior class so they randomly select 150 people from the class and ask them their preference.
Out of 150 students, 5 want to go to cruise to Bermuda.
So, the proportion becomes:
[tex]\frac{5}{150}=\frac{1}{30}[/tex]
= 0.033
So, option A is the answer.
What is the slope of a line parallel to the line whose equation is 3x + 6y = 9?
A. -1/2
B. 1/2
C. 2
D. 3
The answer is A: -1/2
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x + 6y = 9 into this form
Subtract 6x from both sides
6y = - 3x + 9 ( divide all terms by 6 )
y = - [tex]\frac1}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2 → C
If AB = 3 and BC = 7, AC =
Answer:
10
Step-by-step explanation:
you can add the short section (AB) and the longer section (BC) to get AC which is 3+7=10
According to basic geometric principles, the length of a continuous straight line is the sum of the lengths of its segments. Therefore, if AB = 3 and BC = 7, then AC = AB + BC, which equals 10.
In Mathematics, specifically in geometry, when we talk about points and lines, if AB = 3 and BC = 7, then the whole length of the line AC, which includes AB and BC, is simply the sum of AB and BC. Therefore, AC = AB + BC.
To calculate it, just add these two lengths together, 3 + 7, which equals 10. So, AC = 10.
This is a fundamental principle in math that when you have a continuous straight line divided into segments, the total length of the line is equal to the sum of the lengths of its segments. This can be easily visualized if you imagine a ruler, with AB being the first 3 units, and BC being the next 7 units. The total length AC represents all 10 units.
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The value 5 is a solution for [tex]x^2-6x+5=0[/tex]
A. True
B. False
Answer:
A. TRUE
Step-by-step explanation:
To verify if that value 5 is a solution, you place it in the equation instead of 'x' and see if the equality is respected at the end.
The equation is: x² - 6x + 5 = 0
Now, let's replace x by 5:
5² - 6 (5) + 5 = 0
25 - 30 + 5 = 0
-5 + 5 = 0
0 = 0
Since 0 = 0 is true, the value 5 is a valid solution for this equation.
If we had tried with 6, it would have ended with
36 - 36 + 5 = 0
5 = 0
So, 6 is NOT a solution.
The price of a share of a stock was 37.50 yesterday today there was a price decrease of 4 percent what is the price today
Answer:
$36
Step-by-step explanation:
Which equation represents the line that passes through the points (6, 7) and (-3, -2)?
(6, 7) and (-3, -2)
1. Find the slope.
m = slope
m = (-2 -7)/(-3 -6)
m = -9/-9
m = 1
2. Plug the slope and one of the points into the equation y - y_1 = m(x - x_1).
y - 7 = 1(x - 6)
3. Solve for y.
y - 7 = x - 6
y = x - 6 + 7
y = x + 1
Answer is choice D.
Please please help me
Answer:
Step-by-step explanation:
(Tangent Length)^2 = y*(y + 11) You are going to have to use the quadratic formula on this.
Tangent Length = 7
7^2 = y * (y + 11)
49 = y^2 + 11y
0 = y^2 + 11y - 49
a = 1
b = 11
c = - 49
When you solve this quadratic equation you get
x1 = 3.40 which is the answer you go with.
x2 = -14.40 which can't be used. A negative length has no meaning.
A number cube with faces numbered 1 through 6 is rolled and a coin is tossed. What is the probability that the number cube will show a number greater than 4 and the coin will land with tails up? A. 1/12 B. 1/6 C. 2/5 D. 5/6
Answer:
b 1/6
Step-by-step explanation:
the probability of the dice rolling on five or six is 2 out of 6. the probability that the coin will
The probability that the number cube will show a number greater than 4 and the coin will land with tails up [tex]\frac{1}{6}[/tex].
What is probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes
Probability of getting number greater than 4 on dice i.e., of getting 5 and 6 on the dice= [tex]\frac{2}{6} =\; \frac{1}{3}[/tex]
Now, along with probability of getting tails on the coin =[tex]\frac{1}{2}[/tex]
So, the combined probability of both the instance is= [tex]\frac{1}{3}[/tex] x [tex]\frac{1}{2}[/tex]
= [tex]\frac{1}{6}[/tex]
So, the Probability is [tex]\frac{1}{6}[/tex].
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Another path in the community is 2.4 miles long. It has benches at 1/3 And 2/3 of the distance from beginning to end of the path. How far in miles (5280=one mile ) is each bench from the beginning of the path?
Answer:
0.8 and 1.6 miles respectively
Step-by-step explanation:
The two benches divide the length of the path into thirds. The length of each third is 2.4 miles / 3, or 0.8 mile.
The first bench is at 0.8 mile from the beginning, and the second is at 2(0.8 mile), or 1.6 mile from the beginning.
Please help me with this
This is a secant-tangent problem.
(Whole)(outside) = (tangent)^2
(x + 12)(x) = 8^2
x^2 + 12x = 64
x^2 + 12x - 64 = 0
In this quadratic equation, we see that a = 1, b = 12 and c = -64.
Plug those values into the quadratic formula and solve for x.
Answer:
x = 4
Step-by-step explanation:
Given a secant and a tangent drawn from an external point to the circle, then
The square of the measure of the tangent is equal to the product of the external part and the entire secant, that is
x(x + 12) = 8²
x² + 12x = 64 ( subtract 64 from both sides )
x² + 12x - 64 = 0 ← in standard form
with a = 1, b = 12 and c = - 64
Using the quadratic formula to solve for x
x = ( - 12 ± [tex]\sqrt{12^2-(4(1)(-64)}[/tex] ) / 2
= ( - 12 ± [tex]\sqrt{144+256}[/tex] ) / 2
= ( - 12 ± [tex]\sqrt{400}[/tex] ) / 2
x = [tex]\frac{-12-20}{2}[/tex] or x = [tex]\frac{-12+20}{2}[/tex]
x = - 16 or x = 4
However x > 0 ⇒ x = 4
1.)Which inverse trigonometric function will determine the measure of angle A?
a. sin-1(5.46)
b. tan-1(0.98)
c. sin-1(1.02)
d. cos-1(0.18)
2.Find the value of sinY
a. 16/65
b. 63/65
c. 65/67
d. 67/65
Answer:
D, B
Step-by-step explanation:
Remember SOH-CAH-TOA:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
In the first triangle, for angle A, 11 is the adjacent leg, 60 is the opposite leg, and 61 is the hypotenuse. Therefore:
sin A = 60/61 = 0.98
cos A = 11/61 = 0.18
tan A = 60/11 = 5.45
So the correct answer is D.
In the second triangle, for angle Y, 16 is the adjacent leg and 65 is the hypotenuse. To find the sine, we need to know the opposite leg. So first, use Pythagorean theorem to find the opposite leg.
c² = a² + b²
65² = 16² + b²
4225 = 256 + b²
b² = 3969
b = 63
So the sine of Y is:
sin Y = 63 / 65
Answer B.
1. From the given right angle triangle, the adjacent side of angle A is 11 units.
The hypotenuse is 61 units.
We use the cosine ratio to get:
[tex] \cos(A) = \frac{adjacent}{hypotenuse} [/tex]
We substitute to obtain;
[tex]\cos(A) = \frac{11}{61} [/tex]
[tex]\cos(A) = 0.18[/tex]
[tex]A=\cos^{ - 1} (0.18)[/tex]
The correct choice is D.
2. From the given right triangle,
[tex]XZ^2 + {16}^{2} = {65}^{2} [/tex]
[tex]XZ^2 + 256 =4225[/tex]
[tex]XZ^2 =4225 - 256[/tex]
[tex]XZ^2 =3969[/tex]
Take positive square root
[tex]XZ=\sqrt{3969}[/tex]
[tex]XZ=63[/tex]
[tex] \sin(Y) = \frac{opposite}{hypotenuse} [/tex]
[tex]\sin(Y) = \frac{63}{65} [/tex]
The correct answer is B
URGENT PLEASE HURRY!!
1.)What is the perimeter of the shape?
12 feet
14 feet
26 feet
38 feet
2.)What is the perimeter of the shape?
30 inches
40 inches
60 inches
72 inches
Answer:
Perimeter for first shape = 38 ft
Perimeter for second shape = 40 inches ..
Step-by-step explanation:
First we will define the perimeter.
The continuous line which forms the boundary of a closed geometric figure.
To find the perimeter of any geometrical shape the lengths of its outer boundary lines are added.
So for the first shape with sides 10ft, 4ft, 3ft and 9ft, we don't know the lengths of two sides
1. The side parallel to the 10ft side
and
2. The side parallel to 9ft side.
So the lengths of side will be:
For 1,
10-3 = 7ft
For 2,
9-4= 5ft
the perimeter will be:
=> 10+4+3+9+5+7
=> 38 ft
And for the second shape with sides 6 in ,5 in, 4 in, 3 in, 2 in and 10 in,
the length of one unknown side will be 6 inches as it is parallel and equal in length to the side with 6 in length,
And the length of side that is parallel to the side with length 4 inches will be same.
The perimeter will be:
=>6+5+4+3+2+10+6+4
=> 40 inches
So,
Perimeter for first shape = 38 ft
Perimeter for second shape = 40 inches ..
1. The perimeter of shape is 33 ft.
2. The perimeter of the shape is 40 in ( option B)
The perimeter of a shape is the total length of its boundary or the sum of all its sides. It measures the distance around the shape and is calculated by adding the lengths of its individual sides.
1. The unknown side of the figure is calculated as;
10-3 = 7ft.
The perimeter of the figure is obtained by adding all the sides;
Perimeter = 10+7 + 4 + 3 + 9
= 33 ft.
Therefore the perimeter of the figure is 33ft.
2. The perimeter of the shape = 6 + 6+ 10+5+4+3+2+4 = 40 in
What is the easiest way to solve this problem?
thank u!!
Answer:
B. 2
Step-by-step explanation:
[tex] \frac{2(x + 1)}{x + 5} = 1 - \frac{1}{x + 5} [/tex]
Multiply two sides by (x+5), we have
[tex](x + 5) \frac{2(x + 1)}{x + 5} = (x + 5) - (x + 5) \frac{1}{x + 5} [/tex]
so
[tex]2(x + 1) = x + 5 - 1 \\ = > \: 2x + 2 = x + 4 \\ = > x = 2[/tex]
Answer:
B. 2
Step-by-step explanation:
You can add 1/(x+5), then multiply by (x+5), then subtract (x+3).
[tex]\dfrac{2(x+1)+1}{x+5}=1 \qquad\text{add 1/(x+5)}\\\\2x+3=x+5 \qquad\text{multiply by x+5}\\\\x=2 \qquad\text{subtract x+3}}[/tex]
_____
Sometimes you have to try several methods to find the easiest. One "always works" method is to subtract one side of the equation so you have something that equals zero. Here that would look like ...
[tex]\dfrac{2(x+1)}{x+5}-1+\dfrac{1}{x+5}=0 \qquad\text{subtract the right side}\\\\\dfrac{2(x+1)-(x+5)+1}{x+5}=0 \qquad\text{use a common denominator}\\\\\dfrac{x-2}{x+5}=0 \qquad\text{simplify}\\\\x=2 \qquad\text{the value of x that makes the numerator 0}[/tex]