Answer:
1) The system of equations are;
y - 2·x = 5
y + x = 38
2) y = 27 World Series championships
x = 11 World Series championships
Step-by-step explanation:
1) The number of World Series championships won by the Yankees = y
The second most-winning team = The St. Louis Cardinals
The number of World Series championships won by the St, Louis Cardinals = x
From the details of the number of World Series won by the Yankees and the St. Louis Cardinals we are given, we can write the following system of equations to find the number of World Series championships won by the Yankees, 'y', and the number of World Series championships won by the Cardinals, 'x' as follows;
y - 2·x = 5...(1)
y + x = 38...(2)
2) Making 'y' the subject of both equations gives;
For equation (1)
y = 5 + 2·x
For equation (2)
y = 38 - x
Equating both 'y' values gives;
y = 5 + 2·x = 38 - x
2·x + x = 38 - 5
3·x = 33
∴ x = 33/3 = 11
The number of World Series championships won by the St, Louis Cardinals, x = 11 World Series championships
From y = 38 - x, we have;
y = 38 - x
∴ y = 38 - 11 = 27
Therefore, the number of World Series championships won by the Yankees, y = 27 World Series championships
simplify the surd 3√ 20 +√ 45
Answer:
9[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify the radicals
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{5}[/tex]
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex]
Then
3[tex]\sqrt{20}[/tex] + [tex]\sqrt{45}[/tex]
= 3(2[tex]\sqrt{5}[/tex] ) + 3[tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{5}[/tex]
= 9[tex]\sqrt{5}[/tex]
The perimeter of a rectangular court is 224 feet. The length is 4 feet more than the width. Write and solve an equation to find the dimension of the court.
PLSS HELP BRAINLIEST
Answer:
y=-2x-1
Step-by-step explanation:
1st step is to find the slope
which is....
-2
2nd step would be find y-intercept
which is....
-1
soooo your equation would be....
y=-2x-1
Find the value of x in the figure below 13x+8 2x+7
Step-by-step explanation:
step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)
step 2. 15x + 15 = 180 (like terms)
step 3. 15x = 165 (subtract 15 from each side)
step 4. x = 11. (divide both sides by 15)
The cost of a phone call at a hotel is determined by the formula
C = 0.35t + 0.6
Where C is the cost in dollars and T is the length of the call, in minutes.
What is the length of a call that costs 5.85
(a) 3 minutes
(b) 6 minutes
(c) 15 minutes
(d) 18 minutes
Show your answer for Brainliest
Which function has a greater constant rate of change explain. Function A y=10x-3 or function B x 1 2 3 4 5 and y are 20 15 10 5 0
Answer:
The function B has greater constant
Step-by-step explanation:
[tex]m(b) = \frac{20 - 15}{1 - 2} = - 5 \\ y = - 5x + c \\ when \: y = 20 \: \: \: \: \: and \: x = 1 \\ 20 = - 5 \times 1 = c \\ c = 25[/tex]
Helpppppp!!!!!!!!!!!
Answer:
just do pythagorean theorem
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
This is a Pythagorean Problem
Formula
a^2 + b^2 = c^2
a = 5
b = ?
c = 9
Solution
5^2 + b^2 = 9^2 Expand the givens
25 + b^2 = 81 Subtract 25 from both sides
25-25+b^2 = 81- 25
b^2 = 56
√b^2 = √56
b = √8*7
b = √2*2*2*7
b = 2 √2*7
b = 2 √14
For every 2 prime factor under the square root sign, 1 of them can be taken out from under the root and the other is thrown away.
Simplify, must end in positive exponent :)
Answer:
b^4
Step-by-step explanation:
have a good day
Step-by-step explanation:
[tex] \frac{ ({b}^{8}) (b)}{(b)^{5} } \\ = \frac{ {b}^{8 + 1} }{ {b}^{5} } \\ = \frac{ {b}^{9} }{ {b}^{5} } \\ = {b}^{9 - 5} \\ = {b}^{4} [/tex]
Hope it will help :)
help , thanks for your help , a farm grew 19.8 tons of wheat in 2013 . The farm's wheat output increased by 9.8% from 2014 and by 5.1% from 2015 , which expression represents a strategy bfor estimating the total output of wheat , in tons in 2015?
Answer:
Step-by-step explanation:
D is a rough estimate because the actual output would be
9.8(1.098)(1.051)
the list shows 8 of talishas maths quiz scores.
70, 81, 82, 82, 82, 89, 94, 100
what is the mean absolute deviation of her quiz scores?
Answer: 85
Yupyupyupypu
Can someone pls help me with this ???
Answer: x and y coordinate
Step-by-step explanation:
If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can give you a thanks.
Part (a)
Answer: x^3 + 12x^2 + 47x + 60--------------------------
Work Shown:
Let's say we have
L = length = x+5W = width = x+4H = height = x+3To find the volume of the block, we multiply the length width and height.
So,
volume = (length)*(width)*(height)
V = L*W*H
V = LW*(x+3) .... replace H with (x+3)
V = LW*x + LW*3 .... distribute
V = Lx*(W) + 3L*(W)
V = Lx(x+4) + 3L(x+4) .... replace W with x+4
V = Lx^2 + 4Lx + 3Lx + 12L .... distribute
V = Lx^2 + 7Lx + 12L
V = x^2*(L) + 7x*(L) + 12*(L)
V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5
V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute
V = x^3 + 12x^2 + 47x + 60
x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.
=======================================================
Part (b)
Answer: 336 cubic feet--------------------------
Work Shown:
We can plug x = 3 into the polynomial we found
V = x^3 + 12x^2 + 47x + 60
V = (3)^3 + 12(3)^2 + 47(3) + 60
V = 27 + 12(9) + 47(3) + 60
V = 27 + 108 + 141 + 60
V = 336
Or we could find the volume like this
V = L*W*H
V = (x+5)*(x+4)*(x+3)
V = (3+5)*(3+4)*(3+3)
V = (8)*(7)*(6)
V = 336
Either way, we get the same volume of 336 cubic feet.
Here is a square inscribed in a circle with radius 1 meter. What is the perimeter of
the square? Explain or show your reasoning
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
distance formula:[tex]\sqrt{\left(x_2-x_1\right)^{2}+\left(y_2-y_1\right)^{2}}[/tex]
set square to be centered on the origin and find the distance between 2 of the connected points
[tex]\sqrt{\left(3-2\right)^{2}+\left(2-1\right)^{2}}[/tex]
= [tex]\sqrt{\left(1\right)^{2}+\left(1\right)^{2}}[/tex]
= [tex]\sqrt{2}[/tex]
multiply by 4 as it is a square and all of its sides are equal
[tex]4\sqrt{2}[/tex]
insert units
[tex]4\sqrt{2}\ \ meters[/tex]
The perimeter of the square is √32.
Given to us
the radius of the circle is 1 meterWhat is the diagonal of the square inscribed in the circle?As we can see in the figure AB is the diagonal of the square and diameter of the circle. therefore,
AB = Diagonal of the square = Diameter of circle = 2 x Radius = 2 meter
We know the diagonal of a square is equal to the product of √2 and the side of the square.
[tex]Diagonal = side \times {\sqrt2}[/tex]
Substitute the value,
[tex]2 = side \times {\sqrt2}\\\\side = \dfrac{2}{\sqrt2}\\\\side ={\sqrt2}[/tex]
What is the perimeter of the square?The perimeter of the square is four times the side of the square.
[tex]Perimeter = 4\times (side)[/tex]
Substitute the value,
[tex]Perimeter = 4\times (\sqrt2)\\\\Perimeter = 4\sqrt2 = \sqrt{2\times 16} = \sqrt{32}[/tex]
Hence, the perimeter of the square is √32.
Learn more about Square:
https://brainly.com/question/11611396
What is the least common multiple of 12, 18, and 45?
Answer:
180
Step-by-step explanation:
if x-y=9,x²+y²=27,then xy=?
Answer:
xy = - 27
Step-by-step explanation:
Note that
(x - y)² = x² - 2xy + y² ← substitute given values, that is
9² = 27 - 2xy
81 = 27 - 2xy ( subtract 27 from both sides )
54 = - 2xy (divide both sides by - 2 )
- 27 = xy
Given the equation 4(3n-7) = -19, what is the first step you could use to solve for n?
Answer:
3/4
Step-by-step explanation:
4(3n-7)=-19
3n-7=-19/4
3n=-19/4+7
3n=-19/4+28/4
3n=9/4
n=(9/4)/3
n=(9/4)(1/3)
n=9/12
simplify
n=3/4
Answer:
3/4
You would have to divide both sides by 4
Step-by-step explanation:
[tex]\frac{4(3n-7)}{4} =\frac{-19}{4}[/tex] ( divide both sides by 4 )
[tex]3n-7= -\frac{19}{4}[/tex] ( simplify )
[tex]3n-7+7=-\frac{19}{4} +7[/tex] ( add 7 to both sides )
[tex]3n=\frac{9}{4}[/tex] ( simplify )
[tex]\frac{3n}{3} =\frac{\frac{9}{4} }{3}[/tex] ( divide both sides by 3 )
[tex]n=\frac{3}{4}[/tex]
Write the equation in vertex farm
x2 - 8x + 10 = 0
Answer:
x = 4 + √ 6 , 4 − √ 6 hope this is correct-
2/5 times 6 enter the product in simplest form.
Answer:
2 2/5
Step-by-step explanation:
2/5 x 6 = 12/5 = 2 2/5
Hope that helps!
the gradient of the line y = 4 -2x
Answer:
-2
Step-by-step explanation:
the slope-intercept form
I think of a number, double it, subtract 3,
the result is 7. Evaluate the number that I first thought of.
Answer:
5
Step-by-step explanation:
2x - 3 = 7
this equation can represent the senario because the number (x) is doubles (multiplyed by 2), subtracted by 3 then equal to 7
then you can just solve for x
2x=10
x=5
А. 3х – 1 = 7
В.
3x = 8
can some1 pls answer this pls pls
Answer:
Step-by-step explanation:
can someone please explain(ignore the lines i’ve drawn on i don’t think they are
correct)
Answer:
Step-by-step explanation:
1.open the compass more than half of the distance between C and D, and scribe arcs of the same radius centered at C and D.
2. Call the two points where these two arcs meet A and B. Draw the line between A and B.
3. AB is the perpendicular bisector of the line segment CD. Call the point where AB intersects CD E.
This website offers a pretty good explanation:
https://web.sonoma.edu/users/w/wilsonst/courses/math_150/c-s/Perp-Bisect.html
A plane leaves an airport traveling at 400 mph in the direction N 45° E. A wind is blowing at 40 mph in the direction N 45° W. What is the ground speed of the plane?
400 mph
402 mph
429 mph
440 mph
i would say c maybe?
Answer: B - 402
Edge 2020
can anyone tell me the answer for b
Answer:
88....................
Answer:
88 people
Hope it helps!!!!
Please help, I just need this and I’m done and I can go play Xbox
Step-by-step explanation:
The top answer is x and the bottom answer is 14.
Write down the inequality described by five is greater than the result of taking six away from x", and solve for x.
Answer:
x < 11
Step-by-step explanation:
Taking the problem piece by piece;
five is greater than
5 >
the result of taking six away from x
x - 6
Solve for x;
5 > x - 6
5 + 6 > x
11 > x
x < 11
-g + 2(3+g) = -4(g+1)
Answer:
g= -2
Step-by-step explanation:
Answer:
g=−2
Step-by-step explanation:
regroup: 2(3+g)−g=−4(g+1)
expand: 6+2g−g=−4g−4
simplify: 6+g=−4g−4
add 4 to both sides: 6+g+4g=−4
simplify again: 6+5g=−4
5g=−10
divide 5
g=-2
Solve each equation. Leave the answer as an improper fraction. 16x^2 = 49
Answer:
7/4
Step-by-step explanation:
Answer:
The Answer would be 7/4 as an Improper fraction
Step-by-step explanation:
the bearing of a plane from an air port is 65 calculate the bearing of the airport from the plane
Answer:
245°
Step-by-step explanation:
the bearing is 180° + 65° = 245°
HOPE THIS HELPS
