The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television?
Answer:
$245
Step-by-step explanation:
0.7 * 350 = 245
The normal price of the television, if The normal price of a television is reduced by 30% in a sale, The sale price of the television is £350, is £500.
What is the sale price?The price at which something sells or is purchased following a price reduction. The cost that something is sold for. In other words, the price at which something is sold to a customer is called the sale price
Given:
The normal price of a television is reduced by 30% in a sale,
The sale price of the television is £350,
Write the equation of the above statement as shown below,
Normal price - 30% of normal price = Sale price
Substitute the value,
Normal price(1 - 0.30) = £350
Normal price = 350 / 0.7
Normal price = £500
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Pls help as soon as possible thank you
Answer:
D
Step-by-step explanation:
F(g) falls between 0 and 49.58
Solve for x: x /6−y/3= 1
SHOW WORK
[tex]\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)[/tex]
A birthday cake was cut into equal pieces, and 10 pieces were eaten. The
fraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
1
11
A. 1
B. 10
C. 21
D. 11
assuming the fraction is 1/11, the denominator shows how many parts the WHOLE was sliced into, namely 11 parts.
Show all work to solve 2x2 +7x - 4 = 0
Heyy!!
2x2 + 7x - 4 = 0
4x + 7x - 4 = 0
11x - 4 = 0
11x = 4
x = 4/11
ANSWER: x = 4/11V is themidpoint of UW. If UV = x + 8 and VW = 9x, what is VW?
Answer:
x=1
Step-by-step explanation:
If V is the midpoint of the line UW, that would mean that there's an equal distance between UV and 9x. So, the value of UV and VW would eed to be the same.
x+8=9x
8=8x
x=1
a pupil who scored 60 in her maths exam was absent and missed English exam use the line of best fit to predict what her English mark could be
Answer:
It's 48.
Hope that helped? Also, if you need anymore answers feel free to ask me as I had that assignment on Mathswatch.
Step-by-step explanation:
Answer:
i think it's 48 if i'm wrong i'm sorry
The dean of a business college in the Midwest claims that he can correctly identify whether a student is a finance major or a music industry management major by the way the student dresses. Suppose in actuality that he can correctly identify finance majors 84% of the time, while 16% of the time he mistakenly identifies a music industry management major as a finance major. Presented with one student and asked to identify the major of this student (who is either a finance or music industry management major), the dean considers this to be a hypothesis test with the null hypothesis being that the student is a finance major and the alternative that the student is a music industry management major. Which of the following statements illustrates a Type I error?
a. Saying that the student is a finance major when in fact the student is a music industry management major.
b. Saying that the student is a music industry management major when in fact the student is a music industry management major.
c. Saying that the student is a finance major when in fact the student is a finance major.
d. Saying that the student is a music industry management major when in fact the student is a finance major.
Using error concepts, it is found that the option that represents a Type I error is:
d. Saying that the student is a music industry management major when in fact the student is a finance major.The definitions of each type of error are as follows:
A Type I error happens when a true null hypothesis is rejected. A Type II error happens when a false null hypothesis is not-rejected.
In this problem, the Hypothesis are:
Null: Student is a finance major.Alternative: Student is a music industry management major.By the definition of a Type I error, in this problem, it would consist in saying that a finance major student is a music industry management major student, hence option d is correct.
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what is the answer i need done by midnight -15x+60<105
Answer:
[tex]x > -3[/tex]
Step-by-step explanation:
Isolate the variable. Treat the < sign like an equal sign, in that what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 60 from both sides of the equation:
-15x + 60 (-60) < 105 (-60)
-15x < 45
Next, divide -15 from both sides of the equation. Note that when you multiply or divide a negative number, you must flip the sign:
(-15x)/-15 < (45)/-15
x < 45/(-15)
x > -3
[tex]x > -3[/tex] is your answer.
~
7 1/2 divided by 2 1/2
Answer:
3
Step-by-step explanation:
Image attached giving 25 points please help
5. The combined perimeter of a circle and a square is 16. Find the dimensions of the circle and square
that produce a minimum total area.
The dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively
Represent the side length of the square with s, and the radius of the circle with r.
So, the perimeter (P) and the area (A) of the shape are:
[tex]P =4s + 2\pi r[/tex]
[tex]A =s^2 + \pi r^2[/tex]
The perimeter is 16. So, we have:
[tex]4s + 2\pi r = 16[/tex]
Divide through by 4
[tex]s + 0.5\pi r = 4[/tex]
Make s the subject
[tex]s = 4 - 0.5\pi r[/tex]
Substitute [tex]s = 4 - 0.5\pi r[/tex] in [tex]A =s^2 + \pi r^2[/tex]
[tex]A = (4 - 0.5\pi r )^2 + \pi r^2[/tex]
Expand
[tex]A = 16 - 4\pi r + 0.25(\pi r)^2 + \pi r^2[/tex]
This gives
[tex]A = 16 - 4\pi r + (0.25\pi^2 + \pi )r^2[/tex]
Differentiate with respect to r
[tex]A' = 0 - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]
[tex]A' = - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]
Set to 0
[tex]- 4\pi + 2(0.25\pi^2 + \pi )r =0[/tex]
Add 4pi to both sides
[tex]2(0.25\pi^2 + \pi )r =4\pi[/tex]
Divide both sides by 2
[tex](0.25\pi^2 + \pi )r =2\pi[/tex]
Make r the subject
[tex]r =\frac{2\pi}{(0.25\pi^2 + \pi )}\\[/tex]
Factor out pi
[tex]r =\frac{2\pi}{\pi(0.25\pi + 1 )}[/tex]
Cancel out the common factors
[tex]r =\frac{2}{0.25\pi + 1 }[/tex]
Express pi as 3.14
[tex]r =\frac{2}{0.25\times 3.14 + 1 }[/tex]
[tex]r =\frac{2}{1.785}[/tex]
Divide
[tex]r =1.12[/tex]
Recall that:
[tex]s = 4 - 0.5\pi r[/tex]
This gives
[tex]s =4 -0.5 \times \pi \times 1.12[/tex]
This gives
[tex]s =4 -0.5 \times 3.14 \times 1.12[/tex]
[tex]s =2.24[/tex]
Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively
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If [tex]x^{2} + y^{2} = 6[/tex] and [tex]x + y = \sqrt{7}[/tex], then what is [tex]x-y[/tex]?
Recall that
(x + y)² = x² + 2xy + y²
Then if x + y = √7 and x² + y² = 6, we have
(√7)² = 6 + 2xy ⇒ 2xy = 1
We also have
(x - y)² = x² - 2xy + y²
so that
(x - y)² = 6 - 1 ⇒ (x - y)² = 5
which means x - y has two possible values, √5 or -√5.
Rick's Phone Service charges $12.52 for an activation fee plus $6 for every gigabyte (g) used.
Which of the following graphs models the situation?
(Please, help me I will do everything I can to boost you.. It's been a rough night of homework.)
Answer:
d
Step-by-step explanation:
same explanation as before just replace the current values with the previous explanation
Answer:
After a quick stint of attempting to read the graphs I would speculate D
URGENNTTT PLEASE ILL GIVE 50
Take Triangle ABC, A(2,-1), B(1,4) and C(-2,2). Do
the series of mappings to find A'B'C'.
First translate
it 3 units to the right and 2 units up, next reflect
about the x-axis, and finally rotate 180 degrees.
Answer:
(3-2)
Step-by-step explanation:
(3v^5-34v^4+79v^3+5v^2+21v+19)\(v-8)
Answer:
3 big guys
Step-by-step explanation:
Answer:
Step-by-step explanation:
we find by synthetic division.
v-8=0
v=8
8 | 3 -34 79 5 21 19
| - 24 -80 -8 -24 -24
|----------------------------------
3 -10 -1 -3 -3 |-5
Quotient:-3v^4-10v³-v²-3v-3
Remainder:- -5
Which of the following is not considered a buying incentive?
a coupon
b. display
C. prize
d. rebate
Please select the best answer from the choices provided
A
B
C
D
=============================================
Explanation:
A buying incentive is anything that encourages any potential customers to become actual customers. Ideally, those people are repeat customers down the road as well (even if such buying incentives are no longer in place).
If someone sees a coupon or a rebate, then they'll be more likely to buy the item since the price is lower. A coupon is an immediate discount right on the spot, whereas a rebate is when you get a discount later on. A rebate means you have to mail in proof of purchase, and the company will send money back. These are two ways to apply a discount.
A third way to entice customers is to offer prizes. An example of this is a "buy one get one" sale (often abbreviated as BOGO). The company may lose money doing this, but they do so in the hopes of gaining new customers. Plus word of mouth tends to spread more often when such sales occur.
With everything discussed so far, this allows us to rule out choices A, C and D. They are all some kind of way to encourage potential buyers. Choice B is the answer because a display simply shows the price and any other relevant info to the product. Displays are neutral in the sense that they don't encourage a purchase and rather just convey information. When I mention this, I'm not talking about displays that advertise discounts or coupons.
John Marlow's total income last year was $31,300. Of that amount, he spent
$7,900 for food. What percent of Jon's total income did he spend for food? *
25%
40%
50%
85%
Based on the information given the percent of Jon's total income did he spend for food is 25%.
Using this formula
Percent of total income=Amount spent for food/Total income last year
Where:
Amount spent for food=$7,900
Total income last year=$31,300
Let plug in the formula
Percent of total income=$7,900/$31,300
Percent of total income=25%
Inconclusion the percent of Jon's total income did he spend for food is 25%.
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charles had a sheet cake for his birthday when 9/12 remained charles took 1/3 of the remaining cake to wrap and save for later what fraction of the original cake did he wrap
Answer:
He wrapped 3/4 of the cake.
Step-by-step explanation:
1/3 of 9/12 is 0.25 and 0.25 converted into a fraction is 3/4
- Hope this helps!
A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?
Answer:
50 miles
Step-by-step explanation:
Take the number of miles and divide by the number of gallons
400 miles / 8 gallons
50 miles per gallon
Answer:
50 miles
Step-by-step explanation:
if for each 8 gallons it can go to 400 miles
so the 8 will be divided to 8 and get 1
and also divide the 400 into 8 you will get 50 miles per 1 gallon
Find the exact value of sin^-1(-√3/2)
Answer:
-60°
Step-by-step explanation:
Your calculator and/or your knowledge of trig function values can find this for you.
The arcsine function has a range of -90° to +90°. Positive angles 240° and 300° will also have the sine value -√3/2.
arcsin(-√3/2) = -60° = -π/3 radians
The function g(x) undergoes a vertical stretch of 2, a horizontal shift to the right 3 units, and a vertical shift up 1 to become f(x). Which equation describes f(x).
F(x) = 2|x + 3|- 1
F(x) = 2|x - 3| + 1
F(x) = 2|x - 3| + 1
F(x) = 2|x- 3| - 1
Answer:
NONE OF THE OPTIONS GIVEN
Step-by-step explanation:
F(x) = 2|x - 3| + 1 is close, but vertical bars in stead of parentheses completely changes the curve shape
I believe it should be f(x) = 2(x - 3) + 1
if g(x) = x
here are some plots to compare the possibilities. I've shifted the vertical of each to separate the blue and green lines slightly. If they were both true "1" values the lines would be colinear for x>3.
The red line has a slope of 1, stretching by a factor of 3 means the slope is now 3. The absolute value signs from the answer options makes f(x) have a sharp V shape whereas the parentheses creates a single line for all values of x as does g(x) = x.
HELP PLEASE!!! 50 POINTS INCORRECT ANSWERS WILL BE REPORTED.
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
The sum of the given series can be found by simplification of the number
of terms in the series.
A is approximately 2020.022Reasons:
The given sequence is presented as follows;
A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021
Therefore;
[tex]\displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}[/tex]The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;
[tex]\displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}[/tex]Therefore, for the last term we have;
[tex]\displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}[/tex]2 × 2043231 = n² + 3·n + 2
Which gives;
n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0
Which gives, the number of terms, n = 2020
[tex]\displaystyle \frac{A}{2} = \mathbf{ 1011 \cdot \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460} \right)}[/tex]
[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2} +\frac{1}{2} - \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022} \right)[/tex]
Which gives;
[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2022} \right)[/tex]
[tex]\displaystyle A = 2 \times 1011 \cdot \left(1 - \frac{1}{2022} \right) = \frac{1032231}{511} \approx \mathbf{2020.022}[/tex]
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A is equal to 1,685.00049.
Given that A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021, the following calculation must be performed to determine the result of this operation:
337/2 = 168.5 1011/10 = 101.1 337/5 = 67.4 1/2021 = 0.00049 1011 + 337 + 168.5 + 101.1 + 67.4 + 0.00049 = A 1685.00049 = A
Therefore, A is equal to 1,685.00049.
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Solve the following compound inequality: 4 less-than-or-equal-to x + 4 less-than-or-equal-to 12. a. 0 less-than-or-equal-to x less-than-or-equal-to 8 c. 8 less-than-or-equal-to x less-than-or-equal-to 16 b. x less-than-or-equal-to 8 d. no solution Please select the best answer from the choices provided A B C D
Answer:
A. 0 <= x <= 8
Step-by-step explanation:
4 <= x + 4 <= 12
Remove 4 from all sides
4 - 4 <= x + 4 -4 <= 12 - 4
0 <= x <= 8
Solve for x&y using substitution but do it step by step
Answer:
x +2y = 2 ...... 1
7x + 10y = 2 ..... 2
x = 2 - 2y ..... 3
substitute 3 in 2
7(2 - 2y) + 10y = 2
14 - 14y + 10y = 2
14 - 4y = 2
- 4y = 2 - 14
- 4y = - 12
divide by - 4 on both sides
y = 3
substitute the value of y in 3
× = 2 - 2(3)
x = - 4
(x ; y )
(- 4 ; 3)
guys pls ı need help really....
Answer:
Step-by-step explanation:
Calculus....finally something FUN to answer!
This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:
[tex]28=\int\limits^b_1 {7x} \, dx[/tex] and using the First Fundamental Theorem of Calculus, that will integrate to look like this:
[tex]28=\frac{7x^2}{2}[/tex] from 1 to b and applying the FTC:
[tex]28=\frac{7b^2}{2}-\frac{7}{2}[/tex] Multiplying everything by 2 to get rid of the denominators gives you:
[tex]56=7b^2-7\\\\56=7(b^2-1)\\8=b^2-1\\9=b^2\\b=3[/tex]
I need help on math true and false please
Answer:
Step-by-step explanation:
1. False
2. False
3. True
4. True
5. True
6. True
7. True
8. True
9. True
10. False
Apply Euclid algorithm to find HCF of number 4052 and 420
Answer:
ANSWER 4
Step-by-step explanation:
the hcf is 420 and then u say 2x2=4 simple
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