Answer:
29: 7
Step-by-step explanation:
[tex] \frac{8}{3x - y} = \frac{5}{x + 3y} [/tex]
Cross multiply:
[tex]8(x + 3y) = 5(3x - y)[/tex]
Expand bracket:
[tex]8x + 24y = 15x - 5y[/tex]
Bring x terms to 1 side, y terms to the other:
[tex]15x - 8x = 24y + 5y[/tex]
Simplify:
[tex]7x = 29y[/tex]
Divide by 7 on both sides:
[tex]x = \frac{29}{7} y[/tex]
Divide both sides by y:
[tex] \frac{x}{y} = \frac{29}{7} [/tex]
∴ The ratio of x to y is 29:7.
A company that cleans carpets charges its customers a fixed amount for supplies plus an
additional amount per hour of cleaning. The graph models the linear relationship between the
total amount charged and the number of hours of cleaning.
What is X degrees plus 47 degrees plus 273 degrees
Answer:
I believe that X is 40, as 47 + 273 is 320, and if you subtract 320 from 360, you get 40
Step-by-step explanation:
The perimeter of a rectangular painting is 364cm . If the length of the painting is 96cm, what is its width?
Answer:
The width would be 86cm
Step-by-step explanation:
Perimeter is (Width*2) +(Length*2)
Length is 96, multiply by 2 : 96*2 = 192
Subtract this from the total perimeter (364-192 = 172)
Divide this by 2 to get 1 width value (172/2 = 86)
86 cm
what of the following us a solution to the system of equations
Answer:
(- 1, - 5 )
Step-by-step explanation:
Given the 2 equations
y = 3x - 2 → (1)
6 + y = - x → (2)
Substitute y = 3x - 2 into (2)
6 + 3x - 2 = - x
4 + 3x = - x ( add x to both sides )
4 + 4x = 0 ( subtract 4 from both sides )
4x = - 4 ( divide both sides by 4 )
x = - 1
Substitute x = - 1 into (1) for corresponding value of y
y = 3(- 1) - 2 = - 3 - 2 = - 5
solution is (- 1, - 5 )
1. Savannah is trying to justify to her geometry class that the 2 lines she drew, line a and line b, are
parallel. Select all of the reasons that prove Savannah's lines parallel.
Answer:
A, C, D
Step-by-step explanation:
Need help if you know the answer please!!
What is the distance between points G and B
Answer:
4
Step-by-step explanation:
Since points B and G are both on the same horizontal line, the distance between them is just the horizontal distance between them which is the absolute value of the difference of their x-coordinates.
distance = |-3 - 1| = |-4| = 4
Answer: 4
Finde the slope pf the line passing through the points (8,1) and (6,9)
Answer:
The slope is -4.
Step-by-step explanation:
The formula to find slope is y2 - y1 / x2 - x1
Step 1: 9-1 / 6 - 8
Step 2: 8/-2
Step 3: Simplify: The slope is -4
Hope this helps!
hhheeelllpppp pplllssss
Answer:
i think its a
Step-by-step explanation:
Answer:
B 7.2
Step-by-step explanation:
the coordinate of C: (1, 3)
the coordinate of E: (5, -3)
the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]
= [tex]\sqrt{16+36}[/tex]
= [tex]\sqrt{52}[/tex]
≈ 7.2
Plot the square root of 9 on a number line
Convert the equation into Standard Form.
x^2 + y^2 + 10x - 12y+45 = 0
Answer:
(x−5)^2+(y+6)^2=9
Step-by-step explanation:
Write an equation of the line with the given slope and y-intercept
slope: 1.4, y-intercept: 5.6
O y = 1.4x + 5.6
Oy=-*x+5.6
O y = 1.4x -5.6
O y=-1.4x + 5.6
Someone help?
Answer:
y = 1.4x + 5.6
Step-by-step explanation:
plug the slope and y-intercept into the formula: y = ax + b (a is the slope and b is the y-intercept)
thus, y = 1.4x + 5.6
Choose all the statements about the hexagon that are true.
Answer:
B, D
Step-by-step explanation:
Sorry if I'm wrong. I dont know if E is right or not
Answer:
B, D
Step-by-step explanation
1. Write an expressions that is equivalent to k + k + k + k − 12
Please help this is due right now!!
Answer:
4k - 12
Step-by-step explanation:
k + k + k + k - 12
4k - 12
It's 4k because you're adding and not multiplying
If you were multiplying it would be k^4
how many hours do they drive
Answer:
3 good luck with the answer
Answer\
12,878,452,949,953 hours
plz leave a heart and 5 stars :-)
Find the value of x by solving the blue equation in the bottom.
write an equation for each line in slope-intercept form
The real statue of liberty is 152 feet tall. If you wanted to build a toy model of the statue to sell to tourists that is 2:101 Scale factor, how tall should your model be?
Answer:
Height of toy model liberty statue = 3 feet (Approx.)
Step-by-step explanation:
Given:
Height of real liberty statue = 152 feet
Scale factor = 2:101
Find:
Height of toy model liberty statue
Computation:
Scale factor = 2:101
1 feet toy model = 101 / 2 = 50.5 feet
Height of toy model liberty statue = Height of real liberty statue / Scale factor
Height of toy model liberty statue = 152 / 50.5
Height of toy model liberty statue = 3 feet (Approx.)
What is the volume of the cylinder? Use 3.14 for T.
Answer:
251.2
Step-by-step explanation:
V=πr²h
3.14×4²×5
Find the solution to the system of equations.
Answer:
Step-by-step explanation:
y intercept is 0, 15
x intercept is -40,0
15/40 = 3/8
y = 3/8 x + b
15 = b
y = 3//8x + b
Answer:
x-intercept : (-40,0) y-intercept: (0,15)
Step-by-step explanation:
I hope this helps :)
HELP ASAP GEOMETRY 10th
Answer:
m<FEG = 23°
m<FEH = 113°
Step-by-step explanation:
A diameter is always 180° to it's corresponding arc.
The circumference or full arc of a circle is 360°.
If EG is a diameter, Arc EG is 180°.
Given that Arc EF = 134°, and Arc EG = 180°.
Arc EF + Arc EG + Arc FG = 360°.
134° + 180° + Arc FG = 360°
314° + Arc FG = 360°
–314° –314°
Arc FG = 360° – 314° = 46°
The angle formed by the two chords that make the arc is ½ the measure of that Arc.
Meaning that m<feg which is the angle formed by arc FG is ½ 46° which means that m<feg = 23°.
Given that segment EH is tangent to point E.
The rule of a segment and a tangent is that the angle formed is also ½ the measure of the arc.
This means that m<FEH = ½(Arc FG + Arc EG)
m<FEH = ½(46° + 180°) = ½(226°) = 113°
How to do this, please explain with steps ASAP
Answer:
e = 31
Step-by-step explanation:
The triangle on the left has 2 congruent sides , so is isosceles with 2 congruent base angles of size
[tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62
Then the interior angle of the triangle on the right is
180° - 62° = 118°
The triangle on the right is also isosceles with 2 congruent base angles, then
e = [tex]\frac{180-118}{2}[/tex] = [tex]\frac{62}{2}[/tex] = 31
Someone help me plz it’s fast easy plz
Answer:
(2,3,4)
First you take the exponent and times 2 by two then you get four then you subtract the 4 from the 1 and you get three then group thennumbers that gotten used
Fill in the table using this function rule.
y=19-2x
Answer:
Step-by-step explanation:
given
y = 19 - 2x
when x = 3 , y = 13
when x = 4 , y = 11
when x = 5 , y = 9
when x = 6 , y = 7
hope it helps :)
Which equations match the diagram
FOR POINTS!!!
Answer:
A, B, D, F
Step-by-step explanation:
i really hope this helps and is right :)
What is the area of the parallelogram?
4 cmi
5 cm
9 cm
18 cm2
28 cm?
36 cm2
0 45 cm2
Answer:
36 cm2
Step-by-step explanation:
Answer:
36cm² your welcome
What is x? 8.3x-2.4=72.3
Answer: x is equal to 9
Quick Help Please
anyone
Answer:
1) False
2) True
3) a) True b) False
4) False
Step-by-step explanation:
1)
Two-point are collinear if they lie in the same line. The vector -2AB is antiparallel to the vector AB then it is False.
2)
A unit vector could be difinede as:
[tex]\vec{u}=\frac{\vec{v}}{|\vec{v}|}[/tex]
Terefore, [tex]\frac{1}{AB}\vec{AB}[/tex] is a unit vector. It is True.
3)
a) If AB=-3AC
The points, A, B, and C are collinear, because all of them lie in the same line. True
b) Let's take the modulus in each side.
[tex]\vec{AB}=-3\vec{AC}[/tex]
[tex]|\vec{AB}|=|-3\vec{AC}|[/tex]
[tex]|\vec{AB}|=|-3||\vec{AC}|[/tex]
[tex]|\vec{AB}|=3|\vec{AC}|[/tex]
So it is False.
4)
If we put the vector AI = 3/2 AB into the first equation we will have:
[tex]2(-\frac{3}{2}\vec{AB})+3\vec{IB}=-3\vec{AB}+3\vec{IB}[/tex]
And we can not say that it is a cero vector, so it is False.
I hope it helps you!
Factor this quadratic equation x^2-3x=0 showing all steps
Answer: x = 0; x = 3
Step-by-step explanation:
x^2 - 3x = 0
1. x is a common factor, so factor it out
x(x - 3) = 0
2. set both factors equal to zero
x = 0
x - 3 = 0
3. final answer
x = 0
x = 3
At Adams Middle school, 75 boys and 55 girls belong to the school band. Of the 75 boys, 15 play the drums. Only 5 girls play the drums. What percent of the boys play drums?
x=100×15/75
x=1500/75
x=20% boys
Answer:
20%
Step-by-step explanation:
look at the formula I have used then you will understand good day
PLEASE HELP ME REAL QUICK IT'S IMPORTANT
Answer: infinitely many
Step-by-step explanation:
They are essentially the same line (the terms rearranging in the equation doesn't make a difference). Since the intersection point between lines is the solution to the system, they have infinitely many.