Steve went the the baseball game with some of his friends. He bought 3 packages of peanuts and 4 hotdogs for a total of $14.50. Mark bought 1 package of peanuts and 6 hotdogs for $13.00. Ruben came with his family to the baseball game and bought 6 package of peanuts and 10 hotdogs. How much money did Ruben spend?
Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
What is a system of linear equations?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.
Let p = packet of peanuts and h = hotdogs
Establishing the system of linear equations to find the cost of one each,
3p + 4h = 14.50.............(i)
p + 6h = 13
p = 13 - 6h........(ii)
Put eq (ii) in the eq(i)
3(13-6h) + 4h = 14.50
39 - 18h + 4h = 14.50
-14h = -24.5
h = 1.75
Put h = 1.75 in eq(ii)
p = 13 - 6(1.75)
p = 2.5
Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75
Therefore, 6 package of peanuts and 10 hotdogs will costs =
6(2.5) + 10(1.75) = 15 + 17.5 = $32.5
Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
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If ABC is 160, what is DBC?
D
(X + 15)
A
(3x + 25)
B
A. 160
O B. 115°
C. 30
D. 45
Answer:
B is the answer
Step-by-step explanation:
Classify the triangle by sides and angles.
Answer:
c) right isosceles triangle
Step-by-step explanation:
two equal sides and a 90 degree angle make a right isosceles triangle
What's the area of a trapezoid
Answer:
A=27 square units
Step-by-step explanation:
The width of a rectangle is 5 feet shorter than its length. If the area of the rectangle is 24 square feet, find the dimensions of the rectangle.
Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.
what is the pattern rule for 1. 25, 1, 0.75, 0.50,0.25
Answer:
-0.25n + 1
Step-by-step explanation:
Difference between all numbers: -0.25
Hence,
[tex]t_n = -0.25n + 1[/tex]
Feel free to mark it as brainliest :D
A survey of teens suggested that 33% can name at least one professional baseball player, and 90% of those teens can also name at least one professional football player. In the entire population, 64% can name at least one professional football player. What percentage of teens can name at least one player from these sports? (0.33)(0.64) = 0.2112 0.33 + 0.64 = 0.97 0.33 + 0.64 – (0.33)(0.64) = 0.7588 0.33 + 0.64 – (0.90)(0.33) = 0.673
Answer:
[tex]d.\ 0.33 + 0.64 – (0.90)(0.33) = 0.673[/tex]
Step-by-step explanation:
Given
[tex]P(Baseball) = 33\%[/tex]
[tex]P(Baseball\ n\ Football) = 90\%[/tex]
[tex]P(Football) = 64\%[/tex]
Required
[tex]P(Baseball\ or\ Football)[/tex]
This is calculated as:
[tex]P(Baseball\ or\ Football) =P(Baseball) + P(Football) -P(Baseball\ n\ Football)[/tex]
[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - (0.90)(0.33)[/tex]
[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - 0.297[/tex]
[tex]P(Baseball\ or\ Football) = 0.673[/tex]
Help me with Math please
Answer:
18 in²
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 9 : 12 = 3 : 4
ratio of areas = 3² : 4² = 9 : 16
let x be the area of the smaller figure then by proportion
[tex]\frac{x}{9}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 9 )
x = 18
That is area of smaller figure = 18 in²
Point B has coordinates (3,2). The x-coordinate of point A is −6. The distance between point A and point B is 15 units. What are the possible coordinates of point A?
Answer:
Distance between two points= √(x2-x1)²+(y2-y1)²
D= 15units
Let "k" be the y-coordinate of A
A(-6,k)
B(3,2)
15= √(3--6)²+(2-k)²
Taking square of both sides to eliminate the square root.
15²=(9)²+(2-k)²
225=81+4-4k+k²
k²-4k - 140=0
Using Quadratic Formula to evaluate
k= 14 or k=-10
The Possible coordinates of A are
(-6,14) or (-6,-10)
Find perimeter of polygon :
Pls explain answer
Answer:
270
------
6 x 9 = 54
54 x 5 = 270
=270
Step-by-step explanation:
WILL GIVE BRAILIEST!!!
Answer:
Step-by-step explanation:
6^4*612/6^7
6^4*6^12-7
6^4*6^5
6^4+5
6^9
Could someone pls help with this :-)
Answer:
A. y = -f(x+1)
Step-by-step explanation:
_______________
helpppppppppppppp make your answer clear please ( no links)
The answer is: 312 (Squared)
Step-by-step explanation:
(2×6 is 12. 12×2 is 24. Top and Bottom)
(12×6 is 72. 72×4 is 288. Both sides+Front and back)
(Adding those up would be: 288+24 = 312)
The sum of two numbers is 24. The difference of
those numbers is 8. Write a system of equations to
represent the scenario.
Answer:
Call x and y the 2 numbers. x + y = 32 x - y = 8 2x = 40 -> x = 20, and y = 32 - 20 = 12.
Step-by-step explanation:
Una botella de agua de medio decimetro cubico se llena en 35 segundos .Con el mismo flujo de agua,¿En cuantos minutos se llenaria una garrafa de 4.5 litros?
Answer:
5,250 minutes
Step-by-step explanation:
0.5 cubic Centimeter = 0.0005 liter
So, 4.5 liters = 4,500 cubic Centimeter
Time required for 0.5 cubic Centimeter = 35 seconds
So, we can calculate the total time required by using following formula
Total time required = (Time required for 0.5 cubic Centimeter × 2 ) × 4,500 cubic Centimeter
So, Total time required = (35 seconds ×2 ) × 4,500
= 70 × 4,500
= 315,000 seconds
= 5,250 minutes
If you add the digits in a number, how many numbers between 0 and 10,000 will have a sum of 10? (For example, 334 is one such number because 3 + 3 + 4 = 10)
Answer: I think 100,000
Step-by-step explanation:
find nth term of -15,-18,-21.....
Answer:
I think the question is from Sequence.
on the basis that I have studied I think this is the way. if I am wrong sorry
HELPPPP
TWO NUMBERS HAVE A SUM OF 28. THE SMALLER NUMBER PLUS FOUR TIMES THE SECOND NUMBER IS 88. FIND THE UMBERS
Answer:
The smaller number is: 8
The bigger number is: 20
Step-by-step explanation:
Ok let's say the two numbers are x and y.
x is the smaller one, and y is the bigger one.
This is the equation to find x:
x + 4y = 88
x + y = 28
x - x + 4y - y = 88 - 28
3y = 60
y = 20
x + 20 = 28
x = 8
PLEAEE NEED HELP!!
Find the area of the shaded region in the regular polygon with AB = 5.5 ft.
Answer:
88 ft^2
Step-by-step explanation:
please find attached the diagram used in answering this question
Area of shaded region = area of regular polygon - area of triangle
area of regular polygon = 1/2 x height x perimeter of the polygon
perimeter of the polygon = number of sides x length of side
5 x 8 = 40
1/2 x 40 x 5.5 = 110 ft²
Area of a triangle = 1/2 x ( base x height)
1/2 x 5.5 x 8 = 22 ft²
Shaded portion = 110 - 22 = 88 ft²
The sum of the interior angles of a regular polygon is 2 , 880 ° . Find the number of sides of the polygon.
Answer:
Sum of the interior angles = 2,880° Therefore, assuming a convex or regular polygon and using the summation formula (n - 2) 180°, we have
(n - 2) 180° = 2,880° Solve for n
n - 2 = 16 Add 2 to both sides of the equation
n = 18
Step-by-step explanation:
(n - 2) 180° = 2,880° Solve for n
n - 2 = 16 Add 2 to both sides of the equation
n = 18
anwer pls pls pls the correct
Answer:
a)2.5 b)-1200
Step-by-step explanation:
a)2(-5)/4=-10/-4=5/2=2.5
b)2(-5)×(-6)×5(-4)=-10×-6×-20=-1200
Answer:
2.5, - 1200
Step-by-step explanation:
(a)
Substitute the given values into the expression
[tex]\frac{2a}{c}[/tex] = [tex]\frac{2(-5)}{-4}[/tex] = [tex]\frac{-10}{-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5
(b)
2a × b × 5c
= 10abc
= 10 × - 5 × - 6 × - 4
= - 50 × 24
= - 1200
A drawbridge rises at a constant rate. It takes 1 1/2 minutes for the drawbridge to rise 3/10 of its total height. How much time, in minutes, does it take for the drawbridge to reach its total height?
Group of answer choices
1/5
9/20
20/9
5
50 POINTS!!!!!!
Which transformation causes the described change in the graph of the function f(x)=sin(x)? Options for all include sin(x)-7, sin(x)+7, sin(x-7), sin(x+7)
The transformation ______ results in a vertical shift down.
The transformation _______ results in a horizontal shift left.
The transformation _____ results in a vertical shift up.
The transformation _______results in a horizontal shift right.
Answer: The transformation sin(x)-7 results in a vertical shift down.
The transformation sin(x+7) results in a horizontal shift left.
The transformation sin(x)+7 results in a vertical shift up.
The transformation sin(x-7) results in a horizontal shift right.
Step-by-step explanation:
Transformation:
If f(x) is a function then
f(x)+k is a vertical shift k units upwards.
f(x)-k is vertical shift k units downwards.
f(x-h) is horizontal shift h units rightwards.
f(x+h) is horizontal shift h units leftwards.
So,
The transformation sin(x)-7 results in a vertical shift down.
The transformation sin(x+7) results in a horizontal shift left.
The transformation sin(x)+7 results in a vertical shift up.
The transformation sin(x-7) results in a horizontal shift right.
Answer:
Answer: The transformation sin(x)-7 results in a vertical shift down.
The transformation sin(x+7) results in a horizontal shift left.
The transformation sin(x)+7 results in a vertical shift up.
The transformation sin(x-7) results in a horizontal shift right.
Step-by-step explanation:
platoooo 2022
please help me out thank you . ill mark u brainlist
Answer:
C
Step-by-step explanation:
Use Desmos graphing calculator
Answer:
C. y = 3x + 1
Step-by-step explanation:
The slope can be found by finding two points and the distance in between, which is 3 (rise) over 1 (run). The line passes through the point (0,1), which would be the y-intercept.
Solve for n 20 > -4x - 8
Answer:
x > -7
Step-by-step explanation:
20 + 8 > -4x
Simplify
28 > -4x
Divide both sides by 4
-28/4 < x
-7 < x
x > -7
The area of a parallelogram is bh.
A parallelogram has an area of 64 in2. If the height is 4 inches, what is the length of the base?
Answer:
14
Step-by-step explanation:
just did it and don't search up mr hands. just trust me.
write an equation in SLOPE- INTERCEPT FORM of the line that has the slope of -6 and a y- intercept of 2.
ANSWER THIS ASAP PLEASE!
Answer:
y=-6x=2
Step-by-step explanation:
y= mx+b
m=slope
b=y-intercept
8. How is the graph of log (x - 2) + 1 translated from the graph of log x?
shifted right 2 units and up 1 unit
shifted right 1 unit and down 2 units
shifted left 1 unit and down 2 units
shifted left 2 units and up 1 unit
SOOO in math class today we learned more about algebra such as
X + 10 = Y should I care??
Like srsly miss teacher ???
lol
welp
that's lame!!
Hello there I hope you are having an great day :)
X + 10 = Y if you are trying to work out Y it would equal y = x + 10
If you are trying to work out X it would equal x = y − 10
Hopefully that helps You :)
HELP ASAP!!! HELP FAST PLEEASE!!!
Answer:
e.
Step-by-step explanation: