Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (4, 2) and (x₂, y₂ ) = (1, - 2)
d = [tex]\sqrt{(1-4)^2+(-2-2)^2}[/tex]
= [tex]\sqrt{(-3)^2+(-4)^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
Which table represents the statement "Di runs at a rate of 4 meters per second " ?
Answer:
d=4t
Step-by-step explanation:
a contractor hired 150 men to pave a road in 30 days how many men would he hire to do the same work in 10 days
Answer:
750 men
Step-by-step explanation:
150 divided by 3 equals 5
5 times 150 equals 750
so it will take 70 men in 10 days
If the ratio between boys and girls is 3 to 2 if there are 12 boys how many girls are there
Answer:
the ratio is 12:8 boys to girls
Step-by-step explanation:
if the amount of boys is 12 then multiply the 3 by 4 and using distribution multiply the 2 by 4 as well to get 8 girls
Help me out to get this math problem solve
Answer:
1. 1900 children.
2. 600 adults.
Step-by-step explanation:
Let c represent the number children.
Let a represent the number of adult.
From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:
2500 = c + a ..... (1)
From the question given above, we were told that:
Cost per child = $ 2
Cost per adult = $ 4
Total amount collected = $ 6200
Thus, we can write the above as:
6200 = 2c + 4a .....(2)
Summary:
2500 = c + a ..... (1)
6200 = 2c + 4a .....(2)
1. Determination of the number of children that attended the fair.
From equation 1
2500 = c + a
Make a the subject by rearranging
a = 2500 – c ....... (3)
Substitute the value of 'a' in equation 3 into equation 2
6200 = 2c + 4a
a = 2500 – c
6200 = 2c + 4(2500 – c)
Clear bracket
6200 = 2c + 10000 – 4c
Collect like terms
6200 – 10000 = 2c – 4c
–3800 = –2c
Divide both side by –2
c = –3800 / –2
c = 1900
Thus, 1900 children attended the fair
2. Determination of the number of adults that attended the fair.
Substitute the value of c into equation 3.
a = 2500 – c
c = 1900
a = 2500 – 1900
a = 600
Thus, 600 adults attended the fair.
Find the slope of the line through each pair of point
11. (-4, -3) and (7, 1)
12. (-2, -1) and (8, -3)
Answer:
11) 4/11
12) -0.2
Step-by-step explanation:
The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.
HEEEEELP ME ILL DOOOO ANYTHING PLEEEEASE
Answer:
The miles travelled is the independent variable.
The cost is the dependent variable.
Step-by-step explanation:
hope this helps ;)
Someone pls help! X*2(4x+3^2%)/23/21^2
Answer:
x+2^23(45*21)
Step-by-step explanation:
1. What is the surface area of this rectangular prism? A. 16 square units B. 32 square units C. 48 square units D. 64 square units Place your answer in the hox
Answer:
64 square units
Step-by-step explanation:
8+8+8+8+16+16
The inequality 3x+2>x+8 is equivalent to:
A. x>3
B. x 32
D. x<−32
Answer:
x>3
Step-by-step explanation:
3x+2>x+8
-2 -2
3x>x+6
-x -x
2x>6
/2 /2
x>3
The solution of the inequality 3x+2>x+8 will be x>3. The correct option is A.
When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that inequality is 3x+2>x+8. The inequality will be solved as below,
3x+2>x+8
3x>x+6
2x>6
x>3
Hence, the solution is x>3.
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What is the answer to this Question?
8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22
Answer:
Here
Step-by-step explanation:
Let's solve your equation step-by-step.
8−6(x−4)=2x−2(4x−5)+22
Step 1: Simplify both sides of the equation.
8−6(x−4)=2x−2(4x−5)+22
8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)
8+−6x+24=2x+−8x+10+22
(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)
−6x+32=−6x+32
−6x+32=−6x+32
Step 2: Add 6x to both sides.
−6x+32+6x=−6x+32+6x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
What are the truth values of Q v ~R?
Answer:
ttft
Step-by-step explanation:
Hey would someone help me with my math question ?
Answer:
Store number 1 has the best discount.
Step-by-step explanation:
Find how much of a discount you get from each store. For number 1 you find 30% of $150 by turning the percent to a decimal and multiplying, for number 2 you would subtract 150 - 30, and for number 3 you subtract 150 - 1/5. When all of this is done you get the greatest discount of $45 off from store number 1.
Start with 2. Add 6 to each term to get the following term. What is the 6th term of the sequence?
Answer:
32
Step-by-step explanation:
We can either add all the terms.
2+6=8
2,8
8+6=14
2,8,14
14+6=20
2,8,14,20
20+6=6
2,8,14,20,26
26+6=32
2,8,14,20,26,32
The Sixth term is 32
or We can multiply 6 times 5 (30) and add 2, which would give us 32.
The reasoning behind this is that we are adding six five times (so six times five) and we are also adding the first term (2).
The graphs of x=2(y-4) and x=5(y-4) are shown below.
How does the graph of x=2(y-4) compare with the graph of x=5(y-4)
A. The graph of x=2(y-4) crosses the y-axis lower than the graph of x=5(y-4)
B. The graph of x=2(y-4) has greater slope than the graph of x=5(y-4)
C. The graph of x=5(y-4) has greater slope than the graph of x=2(y-4)
D. The graph of x=2(y-4) crosses the y-axis higher than the graph of x=5(y-4)
Answer:
B is the correct answer
Step-by-step explanation:
because x=2y-8 is same as y=1/2 x+4 x=5y-20 is the same as y=1/5 x+4 slope of the first is 1/2 slope of the second is 1/5 so 1/2>1/5there y intercept are the same which is 4
The graph of x=2(y-4) has greater slope than the graph of x=5(y-4), the correct option is B.
What is the standard equation of a line?The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The equation of the line is
x=2(y-4)
x=5(y-4)
y = (1/2)x +4
y = (1/5)x +4
The slope is (1/2) and (1/5),
(1/2) > (1/5)
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Megan has a bowl containing $1.95 in pennies and dimes. If she has 3 times as many pennies as she has dimes, how many pennies and how many dimes does she have?
Answer: she has 15 dimes and 45 pennies.
Step-by-step explanation:
01p+1d=1.95
p=3d
01(3d)+.1d=1.95
p=3.15
03d+.1d=1.95
p=45
.13d=1.95
d=15
Jordan invests £16200 into his bank account
He receives 2.5% per year simple interest.
How much will Jordan have after 5 years?
Give your answer to the nearest penny where appropriate
Answer:
18225
Use the formula: .
A = final amount
P = initial amount invested
r = annual interest rate
t = time (in years)
Insert all values in appropriate places.
Simplify.
A=16200(1+(0.025)(6))
Answer:
£18,225
Step-by-step explanation:
2.5% of £16,200 = £405
10% of £16,200 = £1,620
5% of £16,200 = £810
5 years: 16,200 + 5 x 405 = £18,225
6
x
−
5
y
=
14
Find
x
when
y
=
2
Answer:
4
Step-by-step explanation:
Factor completely. 9 x 2 + 6 x + 1
Answer:24
Step-by-step explanation:
Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?
Answer:
$19,000 after five years
Step-by-step explanation:
1900 * .5 = 3800 one year
5 * 3800 = 19,000
A subway train arrives at the station every 9 minutes. You have a doctor’s appointment near the station,
so you take the subway and arrive at 10:06. You are finished with your appointment at 11:44.
When will the next subway train arrive at the station?
The next train will arrive at
Answer:
THE swords men and archer men will take over
Step-by-step explanation:
Brainly please help I been asking
Answer:
114
Step-by-step explanation:
break apart the shape into 2 smaller shapes and you'll get 15 and 4 for the 1st shape multiply them and you'll get 60. Then for the second shape you'll get 6 and 9 multiply them and you'll get 54. Last add them together and you get 114. (Sorry if I get it wrong)
Why did a gacha yt ad pop up when my teacher put up a yt vid
Answer:
she watching u
Step-by-step explanation:
Find the value of each variable. I’ll mark you as a brainliest
Answer:
See below
Step-by-step explanation:
Q11
Triangle is 45° and therefore isosceles
x = 10y = 10√2Q12
y = 2*7 = 14 as the side opposite to 30° angle is half of the hypotenusex = √14²-7² = 7√3Q13
x = 32/2 = 16, same reason as abovey = 16√3Q14
x = y = 6/√2 = 6√2/2 = 3√2Q15
x = 11√3/√3 = 11y = 2x = 2*11 = 22Q16
z = 24√2/√2 = 24x = 24√3y = x/2 = 24√3/2 = 12√3HHHHHHEEEEEELLLLLPPPPPP!!!!!!!!!
Step-by-step explanation:
Area of Glass surface
= Area of Parallelogram - Area of Rectangle
= (20in * 16in) - (4in * 16in)
= 256in².
Hence it is 256 square inches.
P.S. Question photo got changed, ignore this.
Answer: The area of the figure is 32 square
plz mark brainly
If A1
= 9 and An = An-1 + 4 then find the value of A5
BRAINLIEST TO ANYONE
Answer:
25
Step-by-step explanation:
a1 = 9
a2 = a1 + 4
a2 = 9 + 4
a2 = 13
a3 = a2 + 4
a3 = 13 + 4
a3 = 17
a4 = 21
a5 = 21 + 4
a5 = 25
This can more easily be done by using this formula
L = a1 + (n - 1) * d
a1 = 9
n = 5
d = 4
L = 9 + (5 -1)*4
L = 9 + 4*4
L = 9 + 16
L = 25
Find the interest rate for a $4600 deposit accumulating to $5994.78, compounded monthly for 4 years
12 out of 15 randomly selected
students in a class said they would vote
for Kim for class president.
Which is most likely true about all 35
students in the class?
Answer:
28 students would vote for kim
Step-by-step explanation:
Well first you do 12/15 which would be 0.8
Now to find how many students in that class said they would vote for Kim for class president, we multiply 0.8 by 35 to get that 28 students said they would vote for kim
What the slope of this please help :)
Answer:
-0.1
Step-by-step explanation:
Answer:
The answer to the question provided is:
[tex] - \frac{1}{10} [/tex]
Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer
Answer:f
( x ) = x , g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 , g ( x ) = 2 x − 2 f ( x ) = x 2 , g ( x ) = 7 x − 1
in short ways the answer is 7 x − 1
Hence , the sum is [tex]11x^2-8x-14[/tex].
WHAT IS A POLYNOMIALIn mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].
So, we can write it as :
[tex]2x^2 -8x-6+9x^2-8[/tex]
Writing like terms together:
[tex]= 2x^2+9x^2-8x-6-8[/tex]
[tex]=11x^2-8x-14[/tex]
Hence , the answer is [tex]11x^2-8x-14[/tex].
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Reflection over the x axis ;vertical shift down 7 units