Answer:
450
Step-by-step explanation:
First we have to find the discount
20% of 1500 = 300
if you search up 20 x 1500/100, it would say 300
you can do that same equation in your maths book, and also by canceling out
10% vat tax
so 10% of 1500 = 150
since it is tax, we have to add it to our discount
300 + 150 = 450
450 is the answer
a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers
9514 1404 393
Answer:
√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949Step-by-step explanation:
Let x represent the smaller number. Then the sum of squares is ...
x² +(x+2)² = 14
2x² +4x +4 = 14 . . . eliminate parentheses
2x² +4x -10 = 0 . . . put in standard form
x² +2x -5 = 0 . . . . . divide by 2 (because we can)
(x +1)² -6 = 0 . . . . . complete the square
x +1 = √6 . . . we want the positive root
x = -1 +√6
x+2 = 1 +√6
The numbers are √6±1.
A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. The firm uses means of samples of 25 observations to monitor the output, answer the following questions: Determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control
Answer:
1.00434
Step-by-step explanation:
Given the following :
Given a normal distribution ;
Mean (m) = 1.0 liter
Standard deviation (σ) = 0.01 liter
Sample size (n) = 25
For 97% sample means (sm) = 0.97
Z = (m - sm) / s
Zcrit = 1 - (100% - 97%)/2
Zcrit = 1 - (0.03/2)
Zcrit = 1 - 0.015 = 0.985
The z score which corresponds to 0.985 = 2.17
Upper limit : m + z*(σ/√n)
Upper limit : 1.0 + 2.17*(0.01/√25)
Upper limit : 1. 0 + 2.17*(0.01/5)
= 1.0 + 2.17*0.002
= 1.0 + 0.00434
= 1.00434
If n is an odd number, then its remainder is 1 when I divide it by 2.
17 is an odd number. What conclusion can be made?
Answer: Its remainder is 1 when you divide 17 by 2.
In other words, 17/2 = 8 remainder 1.
The 8 is the quotient.
The reason why we know we get a remainder 1 is because the condition of "if n is an odd number" and here n = 17 is odd. So the first condition is met allowing us to use the full "if, then" statement given to us.
Nancy has 192 golf balls.
How many dozen golf balls does she have?
Answer:
16
Step-by-step explanation:
192/12=16
hope this helps :3
if it did pls mark brainliest
Answer:16
192/12 equals 16
PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST
options box one:
graph a
Graph B
Options for box two:
1. appears to decrease more
2. Is less
3. Decreases less
4. Appears to decrease less
5. Decreases more
Answer:
1) graph b
2)appears to decrease more
Step-by-step explanation:
GIVING 30 POINTS
need it RN
Which equation represents a line which is perpendicular to the line
5x + 4y = -24?
What are some good things to remember when you
draw a diagram of a ratio?
Answer:
the order in which the ratio is drawn should be the same as listed.
Explanation:
What this means is that since a ratio compares the sizes of two numbers (eg 4:2 or 4 ratios 2 or [tex]\frac{4}{2}[/tex]), it would be wrong to change the order of a ratio when drawn in a diagram.
For example, changing the order to (2:4 or 2 ratios 4), which then because [tex]\frac{2}{4}[/tex] not [tex]\frac{4}{2}[/tex]. Hence, it is important to remember that diagram of the ratio of two or more quantities should be the same as listed.
What is
f(x) = x3 – 4x2 – 7x + 10 in factored form given that 5 is a zero of the function?
Answer:
(x-2)(x+1)(x-5)
Step-by-step explanation:
The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the formula to solve for b and select the correct option below (A) b=A/(2h) (B) b=2Ah (C) b=(1/2)Ah (D) b=2A/h
Answer:
[tex]b=\dfrac{2A}{h}[/tex]
Step-by-step explanation:
The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh[/tex] ...(1)
Where b is the length of the base and h is the height.
We need to find the value of b from the above formula.
Cross multiplying equation (1) we get :
[tex]2A=bh[/tex]
Now dividing both sides by h. So,
[tex]\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}[/tex]
So, the correct option is (D) i.e. [tex]\dfrac{2A}{h}[/tex].
the other one is 27
Answer:
the scale factor is 9 and x = 58.5
Step-by-step explanation:
to get the scale factor just do DE/AB so 27/3
6th grade math i mark as brainly
Answer:
A, D and F are the answers because for the 1st question, 64.7 is the bigger number, for the second 65 is the biggest and for the last 65 is the largest number.
Write the number in
standard form
6 tens+7=
Answer:
60 + 7 =
Step-by-step explanation:
its correct lol omg sjsjsjjsjsjsssjsjsnsnssn
Answer:
Answer: 67
10 x 6 + 7 = 67
3/4of 16/27/23/14+12/18 using bodmas rule
What is the length of LA?
The length of LA in the triangle will be 8.
How to calculate the triangle?From the information given, it was stated that both the triangles are similar.
In this situation, the length of LA will be:
= (12 × 4)/6
= 48/6
= 8
Therefore, the length of LA in the triangle will be 8.
Learn more about triangles on:
brainly.com/question/17335144
#SPJ6
What is the difference between –12 and –5?
Answer:
-7
Step-by-step explanation:
(-12)-(-5)
negative and negative make a positive
-12+5
= -7
Answer:
-7
Step-by-step explanation:
6th grade math I mark as brainliest
Answer:
D: A rhombus is always a parallelogram
Step-by-step explanation:
A rhombus is a quadrilateral, and it is also a parallelogram. However, a parallelogram is not always a rhombus.
Answer:
A rhombus is always a parallelogram
Step-by-step explanation:
it's lines parallel to the other side
A pizza delivery company classifies its customers by gender and location of residence. The research department has gathered data from a random sample of 1664 customers. The data is summarized in the table below.
Gender and Residence of Customers
Males Females
Apartment 206 149
Dorm 295 276
With Parent(s) 55 68
Sorority/Fraternity House 132 204
Other 180 99
What is the probability that a customer is female and lives in a dorm or is female and lives in 'Other'? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer: 0.2254
Step-by-step explanation:
Let E= Event of getting of female lives in a dorm.
F = Event of getting of female lives in a 'Other'.
From the table , n(E) = 276 and n(F) = 99
and n(E∩F) = 0 [E and F are Mutually exclusive]
Now, n(E∪F)= n(E) + n(F) - n(E∩F)
= 276+99-0
= 375
also, n(S) =1664 (Sample size)
Required probability : [tex]P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}[/tex]
[tex]=\dfrac{375}{1664}\approx0.2254[/tex]
Hence, the probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254
The class has a ratio of 5 boys for every 8 girls. If the school has 312 students, how many are boys
Answer:
120, if I did it right
Step-by-step explanation:
In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.
Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&5x&=3x \\\\ B.&&5&=3 \end{aligned}
A.
B.
5x
5
=3x
=3
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Add/subtract the same quantity to/from both sides
(Choice B)
B
Add/subtract a quantity to/from only one side
(Choice C)
C
Multiply/divide both sides by the same non-zero constant
(Choice D)
D
Multiply/divide both sides by the same variable expression
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
1). A. Add/subtract a quantity to/from only one side
2) B. No
Step-by-step explanation:
Given equation A
5x-2+x = x-4
Given equation B
5x+x = x-4
We can see that the difference between equation A and B is the 2 that subtracted from the left hand sides of the equation A. All other functions and constants remains the same.
For us to be able to get equation B from A, we need to simply add 2 to the left hand side of equation A to cancel out the -2 that is there as shown:
From equation A:
[tex]5x-2+x = x-4[/tex]
Add 2 to the left hand side of the equation
[tex]5x-2+x+2 = x-4[/tex]
Simplify
[tex]5x-2+2+x = x-4\\5x+0+x = x-4\\5x+x = x-4[/tex]
We can see that the resulting function gives the equation B
Hence the option B is correct i.e Add/subtract a quantity to/from only one side
Let us find the solution to equation A and B
For equation A:
[tex]5x-2+x = x-4\\5x+x-2 = x-4\\6x-2 = x-4\\6x-x = -4+2\\5x = -2\\x = -2/5[/tex]
For equation B:
[tex]5x+x = x-4\\5x+x-x = 4\\6x-x = 4\\5x = 4\\x= 4/5[/tex]
Since we got different solution for x in both equation, hence both equation are not equivalent.
Answer:
Add/subtract the same quantity to/from both sides .... and yes
Step-by-step explanation:
got the answer from khan.
Given h(x) = 5x + 3. what is the value of h(-11)
Answer:
h(-11)=-52
Step-by-step explanation:
Answer:
h(x)=52
Step-by-step explanation:
so x= -11 now plug in for x and solve
5(-11)+3
-55+3= -52
What is the next three terms for 7, 21, 63
Answer:
189, 567, 1701
Step-by-step explanation:
multiply each term by 3.
California lowest point of elevation is -86 meters. Louisiana lowest point of elevation is 83.6 meters higher than California low point. What is the lowest point of elevation in Louisiana
Answer:
-2.4 meters
Step-by-step explanation:
-86 + 83.6 = -2.4
What is the length of a segment with endpoints at F(6, 4) and G(14, 19)? Round to the nearest whole number.
Answer:
17
Step-by-step explanation:
d = √( (x₂ - x₁)² + (y₂ - y₁)² )
= √( (14 - 6)² + (19 - 4)² )
= √( 8² + 15² )
= √( 64 + 225 )
= [tex]\sqrt{289}[/tex]
= 17
what is the slope of the line that passes through (37, -9) and (36, 81)
Answer:
m= -90 is your answer
Step-by-step explanation:
For future reference, you should try using Symbolab, it works really well and I use it ALL the time!
Jayda bought a magazine that costs 6 and seven bags of marshmallows jayda spends a total of 34. How much did each bag of marshmallows costs ?
Answer:
4
Step-by-step explanation:
First, you need to take the cost of the magazine off the total which Jayda spent
34-6=28
Next, you know that you have seven bags of marshmallows, and the total cost of seven bags is 28. So, you need to divide 28 by the number of bags.
28÷7=4
Each bag of marshmallows costs 4
What is the measure of BDC
Answer:
105 degrees
Step-by-step explanation:
180 - 75 = 105
Describe the possible values of x.
Answer:
70x - 70 if it means 5 * 7 * (2x - 2)
Step-by-step explanation:
Lisa,Amy and Pete decided to race up the stairs that has 24 steps.Lisa takes 2 steps Every Second,Amy takes 3 steps every second. If pete starts at the bottom,what should lisa and amy start on so that all three finish in a tie? please help with strategy.
Answer:
How many steps does pete take every second? one?if so, lisa and amy wouldn't start on steps, they would start further back
PLSSSSS HELPPP I WILLL GIVEEE BRAINLIEST!!!!!!!!
Answer:
x = y/ 4 + 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps :)
Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??
Answer:
I need these answers and the ones he put in in the comments are all wrong