Answers:
Ally gets 100 poundsBarry gets 150 poundsCat gets 250 pounds=====================================================
Work Shown:
x = some positive real number
2x = amount Ally gets
3x = amount Barry gets
5x = amount Cat gets
Note that the ratio 2x:3x:5x reduces to 2:3:5 after dividing all parts by x.
Add up the parts and you should get a sum of 500 pounds. Solve for x.
2x+3x+5x = 500
10x = 500
x = 500/10
x = 50
Based on that x value, we then can say:
2x = 2*50 = 100 pounds is what Ally gets3x = 3*50 = 150 pounds is what Barry gets5x = 5*50 = 250 pounds is what Cat getsAs a check, 100+150+250 = 500.
Also, note that the ratio 100:150:250 fully reduces to 2:3:5 after dividing all parts by the GCF 50.
Those two facts help confirm our answers.
using the graph, determine the coordinates of the roots of the parabola
Answer:
(-1, 4)
Step-by-step explanation:
Use of the coordinate plane.
The vertex of the parabola is 1 to the left and up 4.
Think of the vertex as where the curve starts.
Answer:
-3 and 1
Step-by-step explanation:
Hello!
The roots of the parabola are the intersections of the graph and the x-axis (y = 0).
Since the graph's vertex is above the x-axis and opens down, the graph has two roots.
The points of intersection are:
[tex](-3,0)[/tex][tex](1,0)[/tex]Therefore, the roots of the parabola are -3 and 1.
Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y< -5
Answer:
The vertices of both where they cross show (-4,1)
Step-by-step explanation:
3y > 2x + 12
x < 3(y - 4) / 2
y > 2 (x + 6) / 2
2x + y< -5
= x> -5
set = together
x < 3(y - 4) / 2 shows dotted ascending line attached through x=-6
This means x=--6 y = 0
x>-5 shows boundary dotted vertical line through -5
this means x = -5 y = 0
If it had been x ≥ -5 it would have been solid boundary line.
The area within the dotted lines create a right angle triangle where the far left angle shows ascends to (-6, 0) and crosses y at 0,4 however the shaded area will not got hat far and stop at -4,0 and the area below.
As seen attached when both are plotted with dash dotted boundary lines.
The vertices of both show (-5,1)
The angles of a quadrilaterals are x⁰, (x-10)⁰, (x+30)⁰ and ( 2x)⁰, then the greater angle is
Answer:
136°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Sum the given angles and equate to 360
x + x - 10 + x + 30 + 2x = 360 , simplify left side
5x + 20 = 360 ( subtract 20 from both sides )
5x = 340 ( divide both sides by 5 )
x = 68
Then
largest angle = 2x = 2 × 68 = 136°
What are the solutions to the system of equations graphed below?
8
6
4
2
-
-6
-4
4
6.
8
O A. (2, 8) and (0, -3)
B. (-3,0) and (3, 0)
C. (4,8) and (0, -8)
O D. (2,0) and (0,8)
Answer:
B. (-3,0) and (3,0)
Step-by-step explanation:
The curved line crosses through both of these points, and these points are the only ones out of all the choices, to line up perfectly. Remember that ordered pairs (x,y) represent the x and y values.
I really tried to explain this to you, so let me know if this helped :)
The solution of the system of equations graphed are (4,8) and (0, -8)
What is a system of equations?A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations.
Given that is a graph of system of equations, we need to find the solution,
We know that the common solutions are the intersecting points of the equations.
So, here the curve and the line are intersecting at (4,8) and (0, -8)
Hence, the solution of the system of equations graphed are (4,8) and (0, -8)
Learn more about system of equations click;
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How to solve this? I don’t get it how it is x=3 where she solve this ?
Step-by-step explanation:
Given the logarithmic expression:
[tex]3log_{5}2 + log_{5}x = log_{5}24[/tex]
Using the Logarithmic Product Rule:
[tex]log_{a}x + log_{a}y = log_{a}(xy)[/tex]
And the Logartihmic Power Rule:
[tex]log_{a}x^{y} = ylog_{a}x[/tex]
Rewriting your given logarithmic expression by applying the power rule:
[tex]log_{5}2^{3} + log_{5}x = log_{5}24[/tex]
I will use the following logarithmic property to cancel out the logarithmic expressions, which will show why x = 3.
[tex]_{b}log_{b}x = x[/tex]
Raise each logarithmic expression by the same value as the base, 5:
[tex](_{5}log_{5}2^{3} ) + (_{5}log_{5}x )= (_{5}log_{5}24)[/tex]
2³(x) = 24 (2³ is multiplied with x instead of addition because of the Product Rule).
Now that you're left with just 2³(x) = 24, it's easy to see why the answer is x = 3:
2³(x) = 24
8x = 24
Divide both sides by 8:
8x/8 = 24/8
x = 3
What is the equation for the line shown, in slope-intercept form?
Question 8 options:
A) y = 2x - 2
B) y = -2x + 4
C) y = -4x - 2
D) y = -2x - 4
Answer: Solution In Photo
Answer:
D) y = -2x - 4Step-by-step explanation:
Use the points:
(-2, 0) and (0, -4)The y- intercept is - 4 and the slope is:
m = (-4 - 0)/(0 - (-2)) = -2The line is:
y = -2x - 4Correct choice is D
[50 pts, will mark right answer as Brainliest] A bag contains the following prize tickets:
• 6 tickets labeled “8-ounce bottle of SLIME”
• 2 tickets labeled “4 RINGTONES”
• 8 tickets labeled “32-ounce SLUSHIE”
• 4 tickets labeled “16-ounce ICE CREAM SUNDAE”.
Each of the 190 7th grade students who passed the Math benchmark test will draw a prize ticket from the bag. The prize will be recorded for that student, then the ticket will be returned to the bag. Problem What is a reasonable prediction for the number of times a slushie or an ice cream sundae prize ticket will be drawn?
Answer:
114Step-by-step explanation:
Total number of tickets:
6 + 2 + 8 + 4 = 20Number of slushie or an ice cream sundae prize tickets:
8 + 4 = 12Probability of drawing a slushie or an ice cream sundae prize ticket:
12/20 = 0.6Predicted number of times a slushie or an ice cream sundae prize ticket will be drawn:
190*0.6 = 114what is the answer to 4x=8
Answer:
2
Step-by-step explanation:
determine the intercepts of the line
x intercept: ?,?
y intercept: ?,?
Answer:
x-int = 4.5
y-int = -1
How much simple interest does $4,678.00 earn in 529 days at a rate of 7.3%? Round to the nearest cent.
Answer:
$5,172.93
Step-by-step explanation:
We're gonna use the simple interest formula: P = A(1 + r(t))
P = final amount
A = starting amount (4,678)
r = rate (0.073)
t = years (529/365)
P = 4,678(1 + 0.073(529/365))
P = 5,172.9324
5. Which point lies on the line: y - 4 = -3(x + 2)?
Answer:
(- 2, 4 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 = - 3(x + 2) ← is in point- slope form
with (a, b ) = (- 2, 4 )
cual es la razon de 0.240 y 0.12
Answer:
8686787876876
Step-by-step explanation:
67886868768768p765756u565656t443o
Help I’ll mark as brainliest !!!
Answer:
a. substracting...................
i need help! do i subtract the 45-64? or add!?
Answer:
19°
Step-by-step explanation:
180-64=116
116+45=161
180-161=19
Answer:
B) 19
Step-by-step explanation:
find the other angle of W first.
to do that, take 180 - 64
that makes angle W 116
add angle W and angle Y
116 +45 = 161
take 180 - your answer
180 - 161 = 19
B is your answer
have a wonderful day <3
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Diane is going to rent a truck for one day. There are two companies she can choose from, and they have
Company A charges $74 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.60 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
>
ISO
DO
Х
Answer:
Step-by-step explanation:
Company A Total Cost: Ca = $74
Company B Total Cost: Cb = $65+$0.60m, where m is the miles driven.
We want to find for what values of m with Company A charge less than Company B:
Ca < Cb ?
$74 < $65 + $0.60m
$9 < $0.60m
15 < m
m > 15 miles
Company A will cost less than Company B when less than 15 miles are driven. The costs are the same for 15 miles and higher for Company B beyond 15 miles.
I rlly need help with thins question asap
Answer:
The 3 one is 2 and the forth one is 10
Step-by-step explanation:
i did the math
Answer:
2 miles; 10 miles
Step-by-step explanation:
For a distance of 3,520 yards...
3,520 = 1,760m
Divide both side by 1,760
m = 2 miles
For a distance of 17,600 yards...
17,600 = 1,760m
Divide both sides by 1,760
m = 10 miles
What is the LCM for 12 and 4
Answer:
12
Step-by-step explanation:
please helppppp I will mark brainliest
PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!!
Step-by-step explanation:
the midpoint is(4,1)
that is the answer
Answer:
(4, 1 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = P (6, 6 ) and (x₂, y₂ ) = Q (2, - 4 ) , then
midpoint = ( [tex]\frac{6+2}{2}[/tex] , [tex]\frac{6-4}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex] , [tex]\frac{2}{2}[/tex] ) = (4 , 1 )
This is not math sorry! Also this is multiple choice so I have to chose all the answers thst apply
May I please receive help?
Please?
Answer:
Step-by-step explanation:
Rewrite all the equations in standard form of y=mx+b
1. Parallel: They have the same slope of -(3/5)
2. Neither
3. Neither
PLZ Help!!!
the ratio of a rectangle's length to width is 4:17. if the longer side is 31.5 in., find the width, perimeter, and area of this rectangle
Answer:
L = 31.5
w = (4/7)31.5 = 18
p = 2 * 31.5 + 2 * 18
A = 31.5 * 18
Step-by-step explanation:
Yw
You spin the spinner and flip a coin. Find the probability of the compound event.
A spinner is divided into 5 equal regions. The sections are labeled 1, 2, 3, 4, and 5.
The probability of spinning a prime number and not flipping heads is
.
3/10
2, 3, and 4 are prime numbers. Those are three numbers worth. The maximum number on the spinner is 5 so you multiply 5 by 2 and get 10. Again, 3 numbers are prime numbers. So from there you add 3 and 10 as a fraction and get 3/10
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If 1 in = 2.54 cm, how many inches are in 328 cm?
please help it’s due soon
Answer:
129.1 inches
Step-by-step explanation:
Recall that 2.54 cm = 1 in.
Write 328 cm and recognize that we need to convert this to inches:
328 cm i in
------------ * ------------- = 129.1 inches
1 2.54 cm
helppppppppppppppppppppppppppp
!HELP! What Is the Value of W??
Answer:
W equals 31.17
Step-by-step explanation:
Which ordered pairs in the form (x, y) are solutions to the equation
7x−5y=28?
Select each correct answer.
(−6, −14)
(−1, −7)
(7, 9)
(4, 10)
Answer:
(-6, -14), (-1,-7)
Step-by-step explanation:
The equation is a plug and play just plug in the X and Y values of your original equation.
Asley paid $800 for a cellphone and sold it for $1050. Calculate the profit % made on the selling phone
Step-by-step explanation:
31.25%
1050-800=250
250/800=0.3125
0.3125×100=31.25%
solve the triangle congruence using the word bank
Answer:
I don't know I'm sorry man!