Answer:
61.25
Step-by-step explanation:
speed = distance / time
speed = 122.5 km / 2 hour
= 61.25
Complete the expression that represents the prime factorization of 492.
Type the factors in the increasing order.
492 = 2 × 2×
×
Answer:
The prime factors of 492 are 2, 3, 41.
Step-by-step explanation:
→ 492 = 2 × 2 × ? × ?
→ 492 = 2 × 2 × 3 × 41
Let's check,
→ 492 = (2 × 2) × (3 × 41)
→ 492 = 4 × 123
→ 492 = 492
→ LHS = RHS
Hence, prime factors of 492 are 2, 3, 41.
Solve the pair of equation
2x – y=9
4x^2 + 3y^2– 2x + y = 16
Answer:
[tex]x=\frac{27+\sqrt143i}{8}{} ,\frac{27-\sqrt{143i} }{8}[/tex]
[tex]y=-9+\frac{27+\sqrt{143} i}{4} ,-9+\frac{27-\sqrt{143} i}{4}[/tex]
Step-by-step explanation:
1) Solve for 2x - y = 9
A. Solve for y.
2x - y = 9
B. Subtract 2x from both sides.
-y = 9 - 2x
C. Multiply both sides by -1.
y = -9 + 2x
D. Regroup terms.
y = 2x - 9
2) Substitute y = 2x- 9 into 4x² + 3y² - 2x + y = 16
A. Start with the original equation.
4x² + 3y² - 2x + y = 16
B. Let y = 2x - 9.
4x² + 3(2x - 9)² - 2x + 2x - 9 = 16
C. Simplify.
16x² - 108x + 234 = 16
3) Solve for x in 16x² - 108x + 234 = 16
A. Solve for x.
16x² - 108x + 234 -= 16
B. Move all terms to one side.
16x² - 108x + 234 - 16 = 0
C. Simplify 16x² - 108x + 234 - 16 to 16 x² - 108x + 218
16 x² - 108x + 218 = 0
D. Use the Quadratic Formula.
[tex]x=\frac{108+4\sqrt{143}i }{32}[/tex], [tex]\frac{108-4\sqrt{143} i}{32}[/tex]
E. Simplify solutions.
[tex]x=\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143} i}{8}[/tex]
4) Substitute [tex]x=\frac{27+\sqrt{143}i }{8} ,\frac{27-\sqrt{143}i }{8}[/tex] into y = 2x - 9.
1) Start with the original equation.
y = 2x - 9
2) Let x = [tex]\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143}i }{8} .[/tex]
[tex]y=2*\frac{27+\sqrt{143} i}{8} -9,2*\frac{27-\sqrt{143}i }{8} -9[/tex]
3) Simplify
[tex]y=-9+\frac{27+\sqrt{143}i }{4} ,-9+\frac{27-\sqrt{143i} }{4}[/tex]
A car speeds up from 8.50 m/s to
22.2 m/s in 3.84 s.
The acceleration of the car is:
A. 20.0 m/s2
B. 7.99 m/s2
C. 2.72 m/s2
D. 3.57 m/s2
Jim Climbed 80 mountains in 10 months. Find his climbing rate in mountains per month
Answer:
If he climbed 80 mountains in the span of 10 months then you should divide the 80 by 10 which makes it 8.. so I believe the correct answer is 8 mountains per month
Answer:
Jim climbed 8 mountains per month and 10 mountains in 1.
Step-by-step explanation:
This means that he can climb 8 times as many mountains in one year, whether that is within the next 9 months or not depends on how much time he has available to do it.
terrell is going to the salem fair. it costs $5 to get into the fair and $.75 per ride. if he only has $20, how many rides can terrell ride?
A rectangle has one side of 10cm. How fast is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
A rectangle has one side of 10cm
We need to find how fast is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
This can be written as A=10x
Now differentiate with respect to t.
dA/dt=10 dx/dt
increasing at 3cm per minute
dx/dt=3
dA/dt=10 (3)
dA/dt=30
Hence 30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
To learn more on Rectangle click:
https://brainly.com/question/20693059
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The length of the base of an isosceles triangle is x. The length of a leg is 2x-5 . The perimeter of the triangle is 25. Find x.
Answer:
=x+2x-5=25
=3x-5=25
=3x=30
=x=10cmStep-by-step explanation:
mark as brainliast
Answer:
10 cm
Step-by-step explanation:
Evaluate each function for the given value of x, and write the input x and
output f(x) as an ordered pair.
18,20,22,24
Answer:
18) 3
20) -65
22) 12/5
24) -5/2
Step-by-step explanation:
18) f(-5) = -[2(-5)+1] / 3
= -(-10+1)/3
= -(-9)/3
= 3
20) f(7) = -9(7)-2
= -63-2
= -65
22) f(-1) = -[(12 · -1)]÷5
= -(-12)÷5
= 12/5 or 2 2/5
24) f(9) = 2/9(9) - 9/2
= 2 - 9/2
= 4/2 - 9/2
= -5/2 or -2 1/2
If 15 & 36 are two sides of a right triangle what other number makes a Pythagorean Triples.
Answer:
39
Step-by-step explanation:
15^2 +36^2 = c^2
225 + 1296 = 1,551
√1551 = 39
brainlyyyyyyyy just helppppppppppppppppppppppppppppppppppppppppppp
50
If 10 is 20% of a number, we can multiply it by 5 to get the original number.
So 10 * 5 = 50, and 20% of 50 is 10.
I hope this helps! :)
A baseball diamond is a square with 90 foot sides. If the catcher is standing on home plate, what is the approximate distance to throw out a player headed to second base?
help!!
============================================================
Explanation:
Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]
It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.
there are 549 coins in a bottle. 1/3 of the coins are £1 coins. 164 of the coins are 50p coins. the rest are 20p coins. work out the total value of the 549 coins in pounds
Answer:
£ 305.4
Step-by-step explanation:
[tex]549*\frac{1}{3}*1+164*0.5+(549*\frac{2}{3}-164)*0.2\\\\=183+82+40.4\\\\=305.4[/tex]
I need help. Maths; sets
Answer:
14
Step-by-step explanation:
The number of elements in M is 31, so let's make set M the set of the first 31 natural numbers.
M = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31}
Set N has 18 elements. We need to choose 18 elements to place in set N.
The union of sets M and N has 35 elements. That means that since set M contributes 31 elements to the union, set N only contribute 4 new elements to the union. That means that 14 of the 18 elements in N are in common with set M.
Set N can be:
N = {18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35}
Answer: 14
what is the ratio of $1 to 60 cents?
Answer:
100:60
Step-by-step explanation:
$1 is equal to 100 cents
So we can compare it as 100:60
Hope this helps!
Answer:
5:3.
Step-by-step explanation:
That would be 1:0.60
= 100:60
= 5:3.
7th grade math
3/4 times 1/2
Answer:3/8
Step-by-step explanation: 3/4 x 1/2 = 3/8
Need help with this ASAP I’ll mark brainliest
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
pls help me out quick,
Answer:
Step-by-step explanation:
1. 2x + 3y = 1,470
–2x –2x
3y = –2x + 1,470
3y/ 3 = –2x/3 + 1,470/3
y = –2x/3 + 490
The y-intercept of this equation is 490 and the slope is -2x/3.
2. I would graph this line by finding the y-intercept 490 first.
Then, you would move down twice from 490 to 488.
Finally, you would move to the right 3 times.
3. F(x) = –2x/3 + 490
The graph would represent the profit of Sal’s Sandwich Shop on every sandwich and wrap from the lunch specials last month.
Find the value of x.
8.
x+9
2x
[tex]2x = \frac{x+2}{2} => 4x = x + 2 => 3x = 2 => x = 2/3[/tex]
ok done. Thank to me :>
easy one - giving brainly if correct - show work.
teacher said it was wrong, anyone know the right answer? answer both!
Answer:
$9.68 per Hour, $11.72 per Hour.
Step-by-step explanation:
What you thought of..
10% of original pay wage = $0.80
Sofia's Pay Wage will be incremented by 10% of $8 every 6 Months.
Function:
Sofia's Pay Wage = e
Original Pay Wage = o
Increment = i
6 Months = t
e = o + ti
1 Year = 12 Months
$8 + ($0.80 x 2) = $9.60
In 1 Year, Sofia's Pay Wage will be $9.60 per Hour
$8 + ($0.80 x 4) = $11.20
In 2 Years, Sofia's Pay Wage will be $11.20 per Hour
What I Thought Of..
Sofia's Pay Wage will be incremented by 10% every 6 Months.
Function:
Sofia's Pay Wage = e
Original Pay Wage = o
Increment = i
6 Months = t
e = o + t(ei)
1 Year = 12 Months
($8 + {10% of Sofia's Pay Wage}) = $8.80
($8.80 + {10% of Sofia's Pay Wage}) = $9.68
In 1 Year, Sofia's Pay Wage will be $9.68 per Hour
($9.68 + {10% of Sofia's Pay Wage}) = $10.65
($10.65 + {10% of Sofia's Pay Wage}) = $11.72
In 2 Years, Sofia's Pay Wage will be $11.72 per Hour
Brainly? (I spent a while on this)
I started some of it but i’m really confused with the rest. Does anyone know how to do it?
Answer:
-4,1 -3,0 -2,1 -1,2 0,3 1,4 2,5 3,6 4,7
Step-by-step explanation:
when x increases by one, so does y. The slope of the line is 1 btw.
show your work
2x+y=-4;5x+3y=-6
Answer:
x = -6
y = 8
Step-by-step explanation:
Using substitution method.
2x + y = -4 -----------(I)
y = - 4 - 2x -----------(II)
5x + 3y = -6 -------------------(III)
Substitute y = -4 -2x in equation (III)
5x + 3(-4-2x) = - 6
5x - 12 - 6x = -6
5x - 6x - 12 = -6
Combine like terms
-x - 12 = -6 {Add 12 to both sides}
-x = -6 + 12
-x = 6 {Multiply by (-1)}
x = -6
Substitute x = -6 in equation (II)
y = - 4 - 2*(-6)
= -4 + 12
y = 8
I need help please! It’s due tonight and I don’t know.
Answer:
i think the first question is yes and the second one is no
Step-by-step explanation:
answer and explain briefly
Answer:
Step-by-step explanation:
251 divided by something has to equal to a number it will divide by...
2 3 = 2x 2 x 2 = 8
x
p 2 = pxp
251 divided by 25 x8
/49 x8
/100x8
/4x 8
so I would say 5
Which statements are true of the line represented by the linear equation y= 1/3 x + 3
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
and y- intercept c = 3
The length of the base of an isosceles triangle is x. The length of a leg is 3x - 6. The perimeter of the triangle is 58. Find x.
Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sided of the triangle.
In an isosceles triangle, there are two equal sides and a base.
Perimeter = ( 3x - 6) + (3x - 6) + x
58 = 7x - 12
58 + 12 = 7x
70 = 7x
[tex]\frac{70}{7} = \frac{7x}{7}[/tex]
10 = x
Write
1
√
26
in index form.
Answer:
Simplify 1√26inindexform
Simplify √26.
Checking square roots, we see that 52 = 25 and 62 = 36.
Our answer is not an integer, so we try simplify it into the product of an integer and a radical.
For what value of the variable will the expression 8b-27 be equal to the following? -11
100 POINTS
BRAINLIEST IF CORRECT
Answer:
2
Step-by-step explanation:
8b - 27 = -11
8b = 16
b = 2
The variable b will equal 2
Let's check
8b-27=-118b=-11+278b=16b=2!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
Is s = 7 a solution to the inequality below s < 2 yes
Answer:
No
Step-by-step explanation:
No, because s is less then 2. 7 is not less then 2.
‘Hope that helps! :)
Answer:
no
Step-by-step explanation:
s<2
s=7
7>2
PLEASE ANSWER THIS AS FAST AS YOU CAN
Answer:
x = 8 and y = 21
Step-by-step explanation:
3y + 27 = 90 so 3y = 90 -27 which is 63 and to get y you divide 63 by 3 to get 21
Angles on a straight line add up to 180 so 180 = x + 90 + 8x + 18
Then you minus 90 from 180 to get 90 = x + 8x + 18 which simplifies to 90 = 9x + 18
Then you minus 18 from 90to get 72 = 9x
Then divide 72 by 9 to get x = 8