Answer:
[tex]\$ 400[/tex].
Step-by-step explanation:
In this question, [tex]S[/tex] (sales price) and [tex]r[/tex] (discount rate) are both given. The unknown is the regular price, [tex]R[/tex].
Rearrange the discount equation to solve for [tex]R[/tex] in terms of [tex]S[/tex] and [tex]r[/tex].
[tex]S = R - r\, R[/tex].
[tex]S = (1 - r)\, R[/tex].
Divide both sides by [tex](1 - r)[/tex]:
[tex]\displaystyle \frac{S}{1 - r} = \frac{(1 - r)\, R}{1 - r}[/tex].
[tex]\begin{aligned}R &= \frac{S}{1 - r}\end{aligned}[/tex].
It is given that [tex]S = 320[/tex]. A mark-down of [tex]20\%[/tex] is equivalent to a discount rate of [tex]r = 20 / 100 = 0.20[/tex]. Substitute in [tex]S[/tex] and [tex]r[/tex] to find the value of [tex]R[/tex]:
[tex]\begin{aligned}R &= \frac{S}{1 - r} \\ &= \frac{320}{1 - 0.2} \\ &= \frac{320}{0.8} \\ &= 400\end{aligned}[/tex].
Thus, the regular price would be [tex]\$ 400[/tex].
3/8 + 1/8 - 2/7 + 1/4 equals
Answer:
Step-by-step explanation: 37/56
Can someone help me plzz I need the answer plzzz
Answer:
translation of 8 units to the left
Step-by-step explanation:
the x coordinate change by -8 so that is 8 units to the left
Perry surveyed 60 students at her school and found that 0.45 of the students she surveyed said their favorite class is math Another 35% of the students she surveyed reported that their favorite
class is science How many more students in the survey prefer math over science?
Answer:
Answer
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Answer:
0.45 x 60 = 27
35% x 60 = 21
27-21 = 6 more students prefer math
However, a further 12 students didn't specify whether they prefer maths or science, so you could argue that the answer is 6 +/- 12
if i use elmer's glue for my fake nails will they stay
Answer: Yes maybe for about 3-4 days then they will fall off
Step-by-step explanation: my little sis did it
Pleasee helpp
Write a^3 •a^4 without the exponents
Answer:
a x a x a x a x a x a x a
Step-by-step explanation:
a^3 is three a's being multiplied by each other. a^4 is four a's being multiplied by each other
An igloo can be modeled as a hemisphere. Its radius measures 4 m. Find its volume in
cubic meters. Round your answer to the nearest tenth if necessary.
The volume of the igloo given its dimensions to the nearest tenth is 134.10 m³.
What is the volume of the igloo?An hemiphere is the half of a sphere. A sphere is the 3-dimensional equivalent of a ciricle.
Volume of a hemisphere = (2/3) x (π) x (r³)
π= 22/7r = radius2/3 x 4³ x 22/7 = 134.10 m³
To learn more about the volume of a hemisphere, please check: https://brainly.com/question/268403
Answer:
Step-by-step explanation:
\text{Volume of hemisphere}=
Volume of hemisphere=
\,\,\frac{1}{2}\cdot \frac{4}{3}\pi r^3
2
1
⋅
3
4
πr
3
hemisphere = half of a sphere
=
=
\,\,\frac{2}{3}\pi r^3
3
2
πr
3
Simplify by multiplying
=
=
\,\,\frac{2}{3}\cdot \pi \cdot (6.4)^3
3
2
⋅π⋅(6.4)
3
Substitute
=
=
\,\,549.033109...
549.033109...
Evaluate in calculator
\approx
≈
\,\,549.0\text{ m}^3
549.0 m
3
Simplify the expression (6/4)2.
Answer:
See below.
Step-by-step explanation:
(6/4)2
6/4=1.5
1.5*2=3
-hope it helps
Answer:
3
Step-by-step explanation:
Divide 6 by 4
The answer is 1 R 5, because ↓
4 goes into 6 one time.
However, the 5 comes from a different level of diverse multiplication. We will skip past that concept for now.
If there is a number outside parentheses without a symbol, that usually means multiply.
[tex]1.5 * 2 = 3[/tex]
Therefore, the answer is 3.
Rashaad owns a small business selling used books. He knows that in the last week 13 customers paid cash, 50 customers used a debit card, and 53 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.
Answer:
25/58
Step-by-step explanation: Ok, your step one should be to add all the previous customer values together to see what the total pool of values is. 13+50+53=116, this becomes your denominator. Then, you see that out of these 116 customers in the past week, 50 used a debit card. So based on this data, we can assume that 50 out of every 116 customers will use a debit card. The fraction is thus 50/116. Then it needs to be simplified. Divide the numerator and denominator by 2, and BAM 25/58 is your final answer.
Probability that next customer will pay with debit card is (25 / 58) (simplest fraction form).
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes for a given event."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Given,
Number of customers paid through cash = 13
Number of customers paid through debit card = 50
Number of customers paid through credit card = 53
Total number of customers = 13 + 50 + 53
= 116
Substitute the value in the formula we get,
Required probability = (50 / 116)
= (25 / 58) (simplest fraction form)
Hence, probability that next customer will pay with debit card is (25 / 58) (simplest fraction form).
Learn more about probability here
https://brainly.com/question/11234923
#SPJ2
2x+3y=11
10x+5y=20
Simple equation
Answer:
2x+3y=11. x=4 and y=1.
10x+5y=20. x=1 and y=2.
PLEASE HELP QUICK !!
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x
f(x) = [tex]\frac{2}{x}[/tex] and g(x) = [tex]\frac{2}{x}[/tex]
Step-by-step explanation:
given f(x) = 2/x and g(x) = 2/x
f(g(x)) = 2/(g(x)) = 2/2/x = x/2 × 2 = x
g(f(x)) = 2/(f(x)) = 2/2/x = x/2 × 2 = x
therefore they are inverses
since f(g(x)) = g(f(x)) = x.
Mei tapes two pieces of paper together that each measure 30.45
centimeters. They then cut off 10.42 centimeters.
Directions For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as numbers only. Tip: Label all parts in the diagram first. ДАВС вы дXYZ A Х 5 3 9.01 B 37 CZ 4. Y
Answer:
Step-by-step explanation:
First, you have to find the degress for m<A.
m<A+ 90+37=180
m<A+ 127=180
then you subtract 127 from both sides.
So, m<A= 53 degress, We already know that m<B is 90,
So let's solve for m<C.
m<C + 53+ 90= 180
m<C+ 143=180
m<C= 37 degress.
Since the triangles are both the same and has the same length and are congruent polygons
m<X=53 degress, m<Y= 90 degress, and m<Z= 37 degress
Back again with my slightly uneducated self.
Solve for x.
Answer and Step-by-step explanation:
To solve for x, we need to look at 2 deciding factors that allows us to be able to find x.
We are given 2 parallel lines, denoted by the arrow pointing right on the end of both of them, and a transversal line that cuts through the two lines. Because the lines are parallel, the angles that are formed by the transversal like will be equal or correspondent to each other in a few ways.
For the angles we are given, the angles are on the same side of the transversal line, and on the top of their respective parallel lines. Because of this, the angles are equal to each other.
To solve, set the two angles equal to each other.
4x + 20 = 2x + 60
Subtract the 2x from both sides of the equation.
2x + 20 = 60
Subtract the 20 from both sides of the equation.
2x = 40
Divide both sides by 2.
x = 20
x is equal to 20.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Given -
two parallel lines with a transversal.
To find -
to find the value for x.
Concept applied -
Here in the figure, these two angles let's say 1 = 4x + 20° and 2 = 2x + 60° are corresponding angles. And we know that corresponding angles are equal. As all these angles that have the same position in leu the parallel lines and the transversal are corresponding pairs. Therefore, 1 = 2
Solution -
➙ 4x + 20° = 2x + 60°
➙ 4x - 2x = 60° - 20°
➙ 2x = 40°
➙ x = 40°/2
➙ x = 20°
Henceforth, the value of x = 20°.
what is the simple interest if I=1000 birr,T=5 years and p=4000 birr
Answer:
l don't understand your question
Reword the expression using the distributive property. Explain your answer or show your work. 6(x-4)
Do this word document and just add it into the question please it's urgent
• State whether the figure appears to have line symmetry. Write yes or no. If so, draw all lines of symmetry and state their number.
•State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry.
yes,oneyes, 5NoNoyes ,8 ,45°nonoyes ,one ,180°determine the rate of change from the two points (3,4)(5,8)
Answer: 2
Step-by-step explanation:
8 - 4 = 4
5 - 3 = 2
4/2 = 2
Answer:
2Step-by-step explanation:
the rate of change or slope from the given two points is rise over run.
(3, 4) (5, 8)
slope = (y2 - y1) / (x2 - x1)
= (8 - 4) / (5 - 3)
= 4 / 2
= 2
QUESTION 1: Marques made a mistake when solving this problem. On what line did he make the error?
Line 1 Line 2 Line 3 Line 4 Line 5
Line 2 presents the error for the solution presented because the square of numbers: 14 and 8 was calculated incorrectly.
Law CosinesThis law can be applied when two sides of the triangle and the angle formed for these sides are known. Therefore, from the law of cosines, it is possible to write the relation between sides and their respective cosines. See below:
[tex]c^2=a^2+b^2-2*a*b*cos(C)[/tex]
For solving this question, you should apply the Law Cosines and after that compare your solution with this exercise. From the comparison, you should identify the mistake for the solution presented in this problem.
Applying Law Cosines[tex]c^2=a^2+b^2-2*a*b*cos(C)\\ \\ c^2=14^2+8^2-2*14*8*cos(80)\\ \\ c^2=196+64-224*0.1736\\ \\ c^2=196+64-38.8864\\ \\ c^2=221.1136\\ \\ c=\sqrt{221.1136}=14.9[/tex]
Comparison and identification of the mistakeHe made the error in line 2. Instead of calculating the square of 14 and 8, he multiplied these numbers by 2. This was the error.
Read more about the law cosines here:
https://brainly.com/question/7872492
Determine the value(s) for which the rational expression 5x6x is undefined. If there's more than one value, list them separated by a comma, e.g. x=2,3.
Explanation:
We cannot have zero in the denominator. If x = 0, then the denominator 6x becomes 6x = 6*0 = 0. So we must exclude this from the domain to avoid a division by zero error.
One could argue that the 'x's cancel out when we divide. Yes that's true and [tex]\frac{5x}{6x} = \frac{5}{6}[/tex], but as far as the calculator is concerned, it will not try to simplify the expression (unless it's a specific type of calculator). Instead, the calculator would likely follow the order of operations PEMDAS to try to compute directly. The calculator would hit the stumbling block of dividing by zero and produce "undefined" or "not a number".
Please help with this problem.
Step-by-step explanation:
you should have measured the lengths of the sides and added that information here to the picture.
because we here cannot measure this from a picture that is inclined and has no size scale.
I can give you a hint how to get the angles, when you have all 3 sides :
start with the extended Pythagoras for non right-angled triangles:
c² = a² + b² - 2ab×cos(C)
with c being the side opposite of the angle you are aiming for.
then
2ab×cos(C) = a² + b² - c²
cos(C) = (a² + b² - c²)/(2ab)
for example, to get the angle at T, its opposite side is SE.
cos(T) = (ST² + ET² - SE²)/(2×ST×ET)
you can do the same thing for all 3 angles (you need to always pay attention to what sides you have to use in what combination for the angle).
or you can switch after getting the first angle to the laser of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the disposing angles are always opposite of each other.
for your triangle that looks like
ET/sin(S) = ST/sin(E) = SE/sin(T)
from there (once you have one angle via the Pythagoras approach) you get all other angles.
Solve the formula for the specified variable v=ypu for y
Step-by-step explanation:
[tex]v = ypu \\ v = y \times p \times u \\ dividing \: both \: sides \: by \: p \times u \\ we \: get \\ \frac{v}{p \times u} = \frac{y \times p \times u}{p \times u} \\ by \: simpliphying \\ \frac{v}{pu} = y \\ hence \\ y = \frac{v}{pu} [/tex]
Jenny has a 12-sided die.
If Jenny rolls the die 180 times, how many times can Jenny predict she will roll a 12?
The prediction of a roll of 12 is the expected value of rolling a 12
Jenny can predict 15 as the number of times she will roll a 12
How to predict the number of rolls of 12?The dice is a 12-sided dice.
This means that the dice has 12 sides.
So, the probability of obtaining a 12 is:
P(12) = 1/12
In a roll of 180 times, the number of times a 12 is expected to show is:
E(x) = np
This gives
E(x) = 180 * 1/12
Evaluate the product
E(x) = 15
Hence, Jenny can predict 15 as the number of times she will roll a 12
Read more about expected values at:
https://brainly.com/question/15858152
Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).
a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcherâs contention.
b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population standard deviation of Ï = $1600 may be assumed. What is the p-value?
c. At α = .05, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.
Answer and Step-by-step explanation:
Solution:
Develop hypothesis:
H₀ : µ ≥ 1056
H₁ < 1056
Given:
n = 400
ẋ = 910
∂ = 1600
a = 0.05
The sampling distribution of sample means µ and standard deviation ∂ / √n.
Z = ẋ-µ /∂ / √n.
= 910 – 1056 / 1600 /√400.
= - 1.83
Probability: p = p(z< -1.83) = 0.033
At a = 0.05
If p value is smaller than significance level a, then hypothesis is rejected.
P < 0.05 its means H0 rejected.
Hypothesis test using critical value:
The critical value corresponding to probability of 0.05:
Z = -1.645
The rejection region, then contains all values smaller than -1.645.
If value of test statistics is within the rejection region, then null hypothesis rejected.
-1.83 < -1.645
Rejected H
the price of gasoline rose from $3.59 to $3.71 in one week. By what percentage did the gas price rise?
Determine if the three lengths can be the measures of the sides of a triangle.
20 ft, 16 ft, 38 ft
Answer:
No
Step-by-step explanation:
No because if you have 38 on the bottom, 20 and 16 do not add up to 39 or more.
Can someone please help me with this.
Suppose that hothotdogs came in packs of 6 and buns came in packs of 9. Deon bought the same number of hotdogs as buns. It was the least number for which this is possible.
How many hotdogs did he buy?
How many packs of hotdogs did he buy?
How many packs of buns did he buy?
Answer:
54
Step-by-step explanation:
First we multiply 6 x 9 to get 54 so that's all.
Reed always bakes two trays of cookies at a time in his oven. In his oven, two trays of cookies can bake in the same amount of time as one tray.
Yesterday, he baked cookies for 32 minutes. If it takes 16 minutes to bake one tray of cookies, how many trays of cookies did Reed bake yesterday?
A.
1
B.
4
C.
2
D.
6
Answer:
since it says 2 trays can be bake in the same amount of time as one tray that gives us a clue that she bakes 2 trays each 16 minutes with is 32 minutes for 4 trays instead of 2 trays.
each 16 minutes is 2 trays and 32 minutes is 4 trays of cookies.
2 step word problems. 2. Joe and 3 of his friends went to Pizza Haven. They bought a pizza and he ordered a drink
that cost $3. If Joe paid $9, how much did the pizza cost?
Answer: $6
Step-by-step explanation: I'm assuming that Joe bought the pizza and drink with his own money since it doesn't say that they divided the price. Since his drink was $3, that means that the pizza must have been $6.
can someone help me with this please
56,51,52,53,55,59,57
Х
If two lines do not intersect, then
they are parallel.