(-10,-7) (-8,1) find the distance between two points
Answer: [tex]\sqrt{68}[/tex] units.
Step-by-step explanation:
The distance between points (a, b) and (c, d) is given by :_
[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]
Given points : (-10,-7) (-8,1)
Distance between points (-10,-7) and (-8,1) = [tex]\sqrt{(1-(-7))^2+(-8-(-10))^2}[/tex]
[tex]=\sqrt{(1+7)^2+(-8+10)^2}\\\\=\sqrt{8^2+2^2}\\\\=\sqrt{64+4}\\\\=\sqrt{68}[/tex]
Hence, distance between given points = [tex]\sqrt{68}[/tex] units.
A pair of pants that Jessica wants are usually $39. If the store is having a 33% off sale, how much will the pants cost
Answer: $12.87
Step-by-step explanation:
You need to set up your equation. We are trying to find x.
Step 1: [tex]\frac{x}{39} = \frac{33}{100}[/tex]
Step 2: Multiply across: 39 x 33 divided by 100.
39 x 33 = 1287
1287 divided by 100 = $12.87
Answer: $12.87
When you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5. What is the least possible natural number n?
and other question
When you divide 12,650 by n , the remainder is 2. When you divide 5,800 by n the remainder is 3. What is the least possible natural number n?
Bonus If you want brainly answer these 2 other questions
n is a natural number. Find the greatest possible value of the GCD of
(2n+25) and (n+15)
Also answer
(2n+25) and (n+15)
Answer:
First Q: The smallest value for which n works is 11.
Second Q: Smallest here is 17.
Third Q: I don't know this one, sorry!
Fourth Q: n is -10.
Step-by-step explanation:
For the first two questions, find the smallest common factor between the two numbers (subtract the remainder).
Q1:
First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)
Then, list the factors
2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145
1573: 1, 11, 13, 121, 143, 1573
These two numbers share 11 and 13 in common. 11 is the smaller of these, so it is the smallest value n can work.
Q2:
Repeat the steps from Q1.
12650 - 2 = 12648; 5800 - 3 = 5797
12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648
5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797
These two share 17, 31, and 527 in common. 17 is the smallest of these, so it is the smallest value n can work.
Q4 (I don't know how to do Q3 yet):
2n + 25 = n + 15
Subtract n from both sides
n + 25 = 15
n = 15 - 25
Subtract 25 from 15 to get -10
n = -10
Again, I don't know how to do Question 3 yet. Sorry for the inconvenience! Anyhow I hope the rest of this was helpful!
The least possible natural number n is 11.
Given that, when you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5.
What is GCD?The greatest common divisor (GCD) refers to the greatest positive integer that is a common divisor for a given set of positive integers.
Question 1:
First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)
Then, list the factors
2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145
1573: 1, 11, 13, 121, 143, 1573
11 and 13 are common factors. 11 is the smaller of these, so the smallest n value is 11.
Question 2:
First, subtract the remainders from the numbers
That is, 12650 - 2 = 12648; 5800 - 3 = 5797
List the factors:
12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648
5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797
17, 31, and 527 are common factors. 17 is the smaller of these, so the smallest n value is 17.
Therefore, the least possible natural number n is 11.
To learn more about the GCD visit:
https://brainly.com/question/27227228.
#SPJ2
The sum of 2 numbers is 49. The second number is 15 less than the first number. The first number is
represented about x and the second number is represented about y. Write the equation that goes with
this description.
Answer:
x + y = 49
y = x - 15
Step-by-step explanation:
The sum of 2 numbers is 49 means that x+y = 49. (The two numbers are x and y, and the sum of them are 49.)
The second number is 15 less than the first number, means that y = x - 15 (The second number is y, and it is 15 less than x, which is the first number.)
Therefore the equations will be
x + y = 49
y = x - 15
Answer:
Step-by-step explanation:
The sum of 2 numbers is 49
x + y = 49
The second number is 15 less than the first number.
y = x - 15
A laundry basket has 24 t-shirts in it. Four are navy, twelve are red and the remaining are white. What is the probability of not selecting a red shirt? *
Answer:
50%
Step-by-step explanation:
Identify the population of shirts that are *NOT red.* In this case 12 are red. This means that 12 shirts are *not red.* 12/24 = .5 or 50% probability.
change 9.65kg into grams
Answer:
9650
Step-by-step explanation:
Step-by-step explanation:
=(9.65×1000) grams
=9650grams
hope it helps.
Simplify: c5•c3•c3
a) C45
b) 3c11
c) C11
d) None of the above
Answer: C
Step-by-step explanation:
I assume you mean c to the power 5, c to the power 3, and c to the power 3. Well, c^5xc^3xc^3 is c^11. Here's why. When multiple terms that have exponents in them and have the same base are multiplied, you just have to add the exponents. Here's the logic behind this (I'm using another example). If you have 6^3x6^5, your answer will be 6^8 because this can be rewritten as (6x6x6)x(6x6x6x6x6). This is the same thing as 6^8. So, I hope this made sense and your answer will be c.
The requried, simplified expression of [tex]c^5 * c^3 * c^3[/tex] is [tex]c^{11}[/tex]. Option C is correct.
When we have a multiplication of powers with the same base, we can apply the rule of exponents that states: when multiplying powers with the same base, we add their exponents.
In this case, the base is 'c', and we have three terms: c^5, c^3, and c^3. To simplify the expression, we add the exponents:
[tex]c^5 * c^3 * c^3 = c^{5+3+3} = c^{11}[/tex]
So, the simplified form of the expression [tex]c^5 * c^3 * c^3[/tex] is [tex]c^{11}[/tex].
In option b) [tex]3c^{11}[/tex], the coefficient of '3' indicates that we have three terms of [tex]c^{11}[/tex], which is not the case in the original expression.
Therefore, the correct answer is c) [tex]c^{11}[/tex], as we simplified the expression to a single term with the base 'c' raised to the power of 11.
Learn more about simplification here:
https://brainly.com/question/23509407
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Please help Due tomorrow!
Answer: It may possibly be SU
Step-by-step explanation:
Answer:
SU
Step-by-step explanation:
The triangles are reflections of each other (the same but mirrored).
So if you trace a line from point D to F, and do the mirrored motion on the other triangle, you get SU
1. A wise old man once said, "500 reduced by 4 times my age is
296." What is his age?
Answer:
51
Step-by-step explanation:
51×4=204
500-204=296
An orange cone has an
exact volume of 1207T ft3.
What is the height of the
cone if the radius is 6 ft?
Answer:
32.01 ft
Step-by-step explanation:
Step one:
given data
Volume of 1207T ft3.
the radius is 6 ft
Step two:
The volume of a cone is given as
[tex]V=1/3 \pi r^2h[/tex]
substitute
1207= 1/3*3.142*6^2*h
1207= 37.704h
divide both sides by 37.704
1207/37.704= h
h= 32.01 ft
Solve the system of equations
2x-5y=3
X-3y=1
Answer: 2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
Step-by-step explanation:
Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would be the width of his model if he uses the same ratio?
Answer:
2 feet
Step-by-step explanation:
Answer:
2 feet
Step-by-step explanation:
...
Which is a central idea of the article?
A. Congress passed the Fair Labor Standards Act to protect young workers.
B. Hundreds of thousands of kids work long hours under dangerous conditions on U.S. farms.
C. Reyes has been working on farms in Michigan since he was 9 years old.
D. Worldwide, about 152 million kids ages 5 to 17 are child laborers.
Answer:
a is the right answer Congress passed the fair labor standards act to protect young workers
15 3/5 - 3 2/7 = ?
A. 12 31/35
B. 12 11/35
C. 11 21/35
D. 11 1/35
Answer:
its A
Step-by-step explanation:
hope this helps
i’ll give brainliest if you help me
Answer:
4
Step-by-step explanation:
Rey paid $91 for a watch that was on sale for 30% off. Grace and Curtis were debating how much the original price was. Grace said it would be $118.30 but Curtis said the original price should be $130, which person do you agree with? Why?
Answer:
The original cost is $130
Step-by-step explanation:
Step one:
given data
We are told that Rey paid $91 for a watch that was on sale for 30%
let the original cost be x
so that 30% off x= $91 --------not the word OFF not OF
Required
the original cost x
Step two
hence
x- 30/100*x= 91
x-0.3x=91
0.7x= 91
divide both sides by 0.7
x= 91/0.7
x=$130
who has the ps5 i do
Answer:
im from da fam round herrrr u either got the ps3 or the x box 3-60
lm.ao.
what's $90.94 with 50% off..?
Answer:
Write 50% as a decimal number:
STEP 2: Multiply by 90.94:
Step-by-step explanation: answer is 49.47
Answer:
45.47$
Step-by-step explanation:
50% means to cut things off by half
Select the image of the figure after a rotation of 270⁰ about the origen
Answer:
10
Step-by-step explanation:
I think I don’t evenknow !
5/8 - 1/16= what’s the answer to this please help
Answer:
9/16
Step-by-step explanation:
(5/8 * 2/2) - (1/16 - 1/1)
10/16 - 1/16
10-1//16 = 9/16
5/8 - 1/16 = 9/16
(5*16) - (1*8) / 8 * 16
80-8/ 128
72/128
72/8
128/8= 9/16
5/8 - 1/16 = 9/16
pleasee helppppoo djdjdjdjjs
Please answer all of it. If good explanation will mark as brainliest.
Answer:
3. H
4.O
5.O
6.O
Step-by-step explanation:
Oblique asymptote: When the numerators highest exponent is 1 more than the denominators highest exponent. (x^2 is higher than x^1)
Horizontal asymptote: When the exponents are equal. (x = x, x^2 = x^2)
Sorry I don't know how to do the second part but I hope this helps.
2.
M
28°
mZM =
N
L
mZNE
Answer:
28°
Step-by-step explanation:
..... ....... ..... ...
PLZ HELP HELP PLZ PLZ ASAP ASAP
Answer: 8
Step-by-step explanation: Divide 224 by 28
2x+3y=4 y+3x=6
find x and y
Answer:
x=-3/2y+2
y= y=−3x+6
Step-by-step explanation:
solve for x.
2x+3y=4
Add -3y to both sides.
2x+3y+−3y=4+−3y
2x=−3y+4
Divide both sides by 2.
2x/2= -3+4/2
x= -3/2 y+2
solve for y.
y+3x=6
Add -3x to both sides.
3x+y+−3x=6+−3x
y=−3x+6
Can somebody please help (There's a screenshot)
inverse operations = x=.5
simplify = x=1/2
inverse operations = x=.5
solution = x=1/2
check:
Let x = 3/2
10×3/2-5=10
use this rule = a×b/c=ab/c
10×3/2-5=10
Simplify 10×3 to 30.
30/2-5=10
Simplify 30/2 to 15
15-5=10
Simplify 15-5=10
10=10
Checked✅
write a expression that represents the height of a tree that begins at 8 feet and increases by 2 feet per year. Let t represent the number of years. How tall will the tree be in 5 years?
Answer:
8 + 2t
In five years, 18 feet
Answer:
8 + 2(t)
Step-by-step explanation:
8 is the initial height of the tree, and 2 represents the growth per year, and each year is calculating by represnting each year as (t), so
ex.
2 years pass
8 + 2(2) = 8 + 4 = 12ft
2ft per year, 2 years = 4
how do i use the substitution method for these equations
y=3x+4
y=5x+12
Answer:
hello there mate
Step-by-step explanation:
If M
then mABC = [ ? ]
Answer:
135
Step-by-step explanation:
m(abc)= m(abd) +m(dbc) = 65+60 =135
I need help ASAP, The question is to Evaluate x^2-2y when x=4 and y=1, I don't understand at all helppp.
Answer:
14
Step-by-step explanation:
4^2 - 2(1)
16-2= 14
I hope this helped <3
Answer:
14
Step-by-step explanation:
plug in the values for x and y
if x = 4 then we have 4²- 2y
then it also says y = 1 so we now have 4²- 2(1)
4 squared is 16 and 2 times 1 is 2
16 - 2= 14