Answer:
a) £600
b) £1400
Step-by-step explanation:
a)
original price = x
reduced price = £420
reduced price is 70% of original price
Since the discounted price, £420, is 70% of the original price, x, then
70% of x = 420
0.7x = 420
x = 420/0.7
x = 600
Answer: £600
b)
original price = x
discounted price = £840
discount percentage = 40%
The original price is x, and x is 100% of the original price since 100% is the whole amount. The discount is 40% of the original price. 100% - 40% = 60%. That means the discounted price is 60% of the original price.
60% of x = 840
0.6x = 840
x = 840/0.6
x = 1400
Answer: £1400
The evening low temperature in New York in the month of February was -7°F. The following day, the
temperature rose to a high of 25°F. What was the change in temperature that day?
Answer:
32°F
Step-by-step explanation:
Given that,
The low temperature in New York in the month of February was -7°F. The following day, the the temperature rose to a high of 25°F.
We need to find the change in temperature that day.
Change = final temperature - initial temperatur
Change = 25°F - (-7°F)
= 25 +7
= 32°F
so, the required change in temperature is 32°F.
A ladder leaning against a wall makes a 60° angle with the ground. The base of the ladder is 3 m from the building. How high above the ground is the top of the ladder?
Answer:
The distance is 5.20m
Step-by-step explanation:
Here, we want to get the height of the ladder
To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle
The angle here faces the height we want to calculate
This height is known as the opposite
What we have is the adjacent
Now, the trigonometric identity that relates the opposite and the adjacent is the tan
The tangent of an angle is the ratio of the opposite to the adjacent
Mathematically;
tan 60 = h/3
h = 3 tan 60
h = 5.20 m
The ladder is at a height of 5.20 m above the ground
What is the equation in slope-intercept form of the line that passes through the points ( 2, 5) and (6, 8)?
y = 0.75x + 3
y = 0.75x + 3.5
y = 4x + 10
y = 4x - 36
Answer:
Step-by-step explanation:
Can someone please help? I'll mark brainliest! :)
Answer:
D
Step-by-step explanation:
[tex]8x - 2 < - 4(x - 1) \\ 8x - 2 < - 4x + 4 \\ 8x + 4x < 4 + 2 \\ 12x < 6 \\ x < \frac{1}{2} [/tex]
See image for details on question
Answer:
x +3
Step-by-step explanation:
You can solve this by factoring.
The numbers have to add to 10 and multiply to 21.
The first numbers that should come to mind are 7 and 3
(x+3)(x+7)
x+3 is the shorter side and there you go :)
Brookwood High School is considering adding co-ed soccer to the sports program for the fall
season. In order to get an unbiased sample of interest in soccer, who should the school survey?
A. girls in PE class
B. members of the soccer team
C. every fifth student entering the cafeteria
D. students in freshman homerooms
Answer:
B
Step-by-step explanation:
Plz help.............
Answer:
75 ft
Step-by-step explanation:
10 * 6 = 60
1/2 * 6 * 5 = 15
60 + 15 = 75 ft
Which expression is equivalent to 9c + 12d + 2c
A. 18c + 12d
B. 11c + 12d
C. 11c exponent 2 + 12d
D. 23cd
Answer:
B. 11c + 12d
Step-by-step explanation:
Given
9c + 12d + 2c
Combine the like terms
= 11c + 12d
Hope it will help :)
PLEASE HELP
A company's human resources (HR) department wants to find out what proportion of the company's 1,500 employees regularly visit the in-office recreational room. Throughout a week, HR assistants randomly handed out surveys to employees as they entered the office building every day, until 400 different employees confirmed or denied they visited the recreational room on a regular basis. The survey found that over 30% of the employees who completed the survey visit the recreational room on a regular basis. Which assumption can be made regarding the proportion of all the employees who visit the recreational room on a regular basis?
А. No assumptions can be made about the approximate proportion of all employees who visit the recreational room because the sample is blased.
B. The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.
C. The approximate proportion of all employees who visit the recreational room will be greater than the sample proportion because it is a larger group of employees.
D. No assumptions can be made about the approximate proportion of all employees who visit the recreational-room because the sample size is too small.
Answer:
The answer is B
Step-by-step explanation:
The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.
What is a survey?A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.
The assumption can be made regarding the proportion of all the employees who visit the recreational room on a regular basis is:
B.) The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.
Learn more about Survey:
https://brainly.com/question/17373064
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need help asap will give brainly
jordan invested $1,000 ina savings account. The interest rate is 6% per year. Find the simple interest earned in 4 years. Then find the total of principal plus interest.
Answer:
sorrry man dk
Step-by-step explanation:
Derek is 6.5 feet tall and casts a shadow that is 10 feet long. If a basketball hoop next to
Derek is 10 feet tall, how long is the shadow casted by the hoop?
Answer:
example lang po
Flagpole height is 50 ft.
Explanation:
This is a ratio problem
height of object
length of shadow
Let the height of the flagpole be
x
⇒
6
3
=
x
25
x
=
6
×
25
3
=
50
f
t
7 1/2 divied by 1 1/2
Answer:
.652173913
Step-by-step explanation:
f(x) = x^2. What is g(x)?
please answer quick i’ll give brainliest
Answer:
-x² - 3
Step-by-step explanation:
If a function is concave down, that means the x value is negative.
Hence we know that it should be -x²
The graph is translated 3 units down
Hence:
-x² - 3
a
.
b.
2.
L
37°
B
LABD =
LHFG =
d.
4^5 is equal to 1,024. Evaluate the following expression: 4^6
Answer:
4^6 = 4096
Step-by-step explanation:
I have to find the value of x
k so I tried, and honestly I'm not sure what I'm doing wrong but I'm not sure how to solve it. If anyone could help that would be lovely :') thank youu
Answer:
x = 25
Step-by-step explanation:
A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
3x + 21y = 180°.....(1)
2x + 26y = 180°.....(2)
From equations (1) & (2)
3x + 21 y = 2x + 26y
3x - 2y = 26y - 21y
x = 5y
y = 1/5 x
Plug y = 1/5 x in equation (1)
3x + 21*1/5x = 180
15x + 21x = 180*5
(Multiplying both sides by 5)
36x = 900
x = 900/36
x = 25
HELP!! 37 points ! and brainliest !!
What is the volume of the right rectangular prism?
A. 75m3
B. 125m3
C.200m3
D. 250m3
Answer:
250
Step-by-step explanation:
B times height = volume add the Base and the width at the bottom (10 times 5 =50) 50 is the B and then multiply by the height (5) so 50 times 5 is 250. Ez
Eli made 2 peanut butter and jelly sandwiches and cut each one into fourths. How many 1/4 sandwich pieces did Eli have?
If Eli cut both pieces into 4th's, in all they would have 8 4th's.
Because 4 + 4 + 8 :)
SOMEONE PLZ HELP!!
Round answer to the nearest hundredth
Answer:
17 i think
Step-by-step explanation:
The table shows conversions of pounds to ounces. A 2-column table with 4 rows. Column 1 is labeled Pounds with entries 2, 4, 6, 8. Column 2 is labeled Ounces with entries 32, 64, 96, a. Use the drop-downs to answer the following questions about the data in the table to determine the next value. What is the pattern of ounces as the pounds increase by 2? What is the value for a in the table representing the amount of ounces in 8 pounds?
Answer:
its 96 hope this helps!
Step-by-step explanation:
it's 96 because 128-(128/8)=96
4.) Solve the proportion.
2
9
II
3 k + 1
Answer:
b
Step-by-step explanation:
Sorry if its wrong I hope I helped!!!!
Identify the polygon with vertices K(0,1), L(2,−4), M(−3,−2), and N(−5,3), and then find the perimeter and area of the polygon.
ANSWER CHOICES:
rhombus; P=429−−√ units; A=21 units2
rhombus; P = 12 units; A = 29 units2
parallelogram; P=429−−√ units; A=29 units2
parallelogram; P = 20 units; A = 21 units2
Answer:
rhombus; P= 4√29 units; A = 21 units
Step-by-step explanation:
Graph points, use distance formula to calculate length of sides, use A=1/2 d1d2 to find area, use P=4s to find perimeter
how do i find the volume in 3d shapes, please help i need to get better grades
Seven less than the product of a number n and
1
is no more than 95.
4.
Fill in the boxes.
In 17
95
102
n
Answer:
(n-7) ≤ 95
Step-by-step explanation:
We need to write the expression for the given statement.
Seven less than the product of a number n and 1 means (n-7).
It is no more than 95. No more than 95 means less than or equal to i.e.
(n-7) ≤ 95
Hence, the above inequality shows the given statement.
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.
Answer:
Step-by-step explanation
….
Answer: 0.9
Step-by-step explanation:
what does r equal?pls help me
Answer:
r ≥ -49/11
Simplified versions: r ≥ -4.45 or r ≥ -4 5/11
Answer: [tex]r \ge -\frac{49}{11}[/tex]
r is greater than or equal to the fraction -49/11
==========================================================
Work Shown:
[tex]r + 5(-2r-10) \le -4r - 1 + 6r\\\\r - 10r - 50 \le -4r - 1 + 6r\\\\-9r - 50 \le 2r - 1\\\\-9r-2r \le - 1 + 50\\\\-11r \le 49\\\\r \ge \frac{49}{-11}\\\\r \ge -\frac{49}{11}\\\\[/tex]
Note how the inequality sign flips. This happens any time you divide both sides by a negative number.
Y=4x^2+14x+6 factor the polynomial
Answer:
−
4 x 2 + 14 x − 6 p -4x2+14x-6p
need help solving bu completing square
Answer:
9 +/- 13 or
22 or -4
Step-by-step explanation:
5x^2 - 90x - 475 = -35
5x^2 - 90x - 440 = 0
plug into quadratic formula
Which graph can be used to find the solution to the system of equations below?
2x + y = -4
-3y = 2x + 12
Answer:
x = 0, y = -4
Now plug it in:
y = mx + b
-4 = b
So the y intercept is -4
You can also graph the equation.