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:
Need help plz ASAP!!! Plz show work too!
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
x + (3x - 4) = 5 - (-7 - 3x)
Answer:
x = 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x + (3x - 4) = 5 - (-7 - 3x)
Step 2: Solve for x
[Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x[Addition] Combine like terms: 4x - 4 = 12 + 3x[Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12[Addition Property of Equality] Add 4 on both sides: x = 16The bacteria population in a petri dish was 14 at the beginning of an experiment. After 30 minutes the population of 20 in after an hour the population of 56
Answer:
The answer is below
Step-by-step explanation:
A geometric sequence is a sequence such that each term after the first is found by multiplying the previous one by a fixed number (common ratio). It is given by:
[tex]a_n=ar^{n-1}\\\\n=1,2,3,\ .\ .\ .[/tex]
where a is the first term, r is the common ratio.
From the question, the first term is 14 (at n = 1). a₁ = 14
After 30 minutes (n = 2), the population is 28. a₂ = 28
After 1 hour (n = 3), the population is 56. a₃ = 56
Common ratio (r) = a₃/a₂ = a₂/a₁ = 56 / 28 = 28/14 = 2
a) This sequence is represented as:
[tex]a_n=14(2)^{n-1}[/tex]
b) After 4 hours, that is n = 9:
[tex]a_9=14(2)^{9-1}=14(2)^8=3584[/tex]
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]
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.
Could someone pls help with this :-)
Answer:
A. y = -f(x+1)
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.
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
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
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:
please help!!! its due soon :)))
Answer:
C
Step-by-step explanation:
Answer:
The answer my friend is B.
Azlyn can ride her horse 15.2 miles per hour. She is in an endurance race that is 76 miles
long! How long should this race take her to complete?
Step-by-step explanation:
Remember, math is a language
when you see per think fractions
15.2 miles per hour = 15.2 miles / 1 hour
since this is a fraction, Units can cancel just like numbers
To cancel miles and be left with hours rearrange the fraction
1 hour / 15.2 miles
then multiply by 72 miles
[tex] \frac{1hour}{15.2miles} \times 72miles[/tex]
the miles cancel and youre left with hours!
so youd write and solve 72 / 15.2
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
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
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
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.
Learn more about system of linear equations click;
https://brainly.com/question/19549073
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How to measure an angle
Answer:
You can use Protector' but dint have use this method:
Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.
Question
Scientific notation is commonly used in science, technology, engineering, and math, which are known as
STEM fields. Assume there are approximately 2.6 million engineers in a country. If engineers make an
average salary of about $70,000 per year, how much income does this group generate collectively?
Write the answer in both scientific and standard notation.
Answer:
$182000000000
1.82 * 10^11
Step-by-step explanation:
Given that :
Number of engineers = 2.6 million
Average salary = $70,000
Collective income generated by group of engineers yearly :
This will be on average :
2,600,000 * 70,000 = $182000000000
In scientific notation :
$182000000000 = 182 * 1000000000
182 * 1000000000 = 182 * 10^9
182 = 1.82 * 100 = 1. 82 * 10^2
Hence,
$182000000000 = 1.82 * (10^2 * 10^9)
$182000000000 = 1.82 * 10^11
HELP ASAP!!! HELP FAST PLEEASE!!!
Answer:
e.
Step-by-step explanation:
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:
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)
Find Value Of X. PLEASEEE HELP
2^( 2x - 3 ) = 128
2^( 2x - 3 ) = 2^7
2x - 3 = 7
2x = 10
x = 5
Answer:
x = 5
Step-by-step explanation:
[tex]x^{2x-3} +52 = 180\\x^{2x-3} = 180 -52\\x^{2x-3} = 128\\x^{2x-3} = 2^{7} \\2x-3=7\\2x=10\\x=10/5\\x=5[/tex]
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
HELP QUICK PLS USIFHKDJGS
Answer:
4 x 3 = 12
2 x 3 = 6
12 + 6 = 18 cubic cm
Answer:b
Step-by-step explanation:
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)
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 :)
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
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