Answer:
[tex]x = 7[/tex] --- toppings
[tex]y = 27[/tex] ---- amount
Step-by-step explanation:
Given
[tex]y \to\ amount[/tex]
[tex]x \to\ topping[/tex]
The first deal is:
[tex]y = 6 + 3x[/tex]
The second is:
[tex]y = 20 + x[/tex]
Required
The value of x and y [for which both deals are equal]
We have:
[tex]y = 6 + 3x[/tex]
[tex]y = 20 + x[/tex]
Equate both
[tex]y=y[/tex]
So, we have:
[tex]6 + 3x = 20 + x[/tex]
Collect like terms
[tex]3x - x = 20 - 6[/tex]
[tex]2x =14[/tex]
Divide by 2
[tex]x = 7[/tex]
Substitute [tex]x = 7[/tex] in [tex]y = 20 + x[/tex]
[tex]y = 20 + 7[/tex]
[tex]y = 27[/tex]
Solve the expression for a=12 , b=6 and c=3
Answer:
48
Step-by-step explanation:
[tex]a = 12, \ b = 6, \ c = 3\\\\b^2 - c^2 + (a+ b+c) = 6^2 - 3^2 + (12 +6+3) = 36-9+21 = 48[/tex]
Answer:
2-12+(++)
b^{2}-1c^{2}+(a+b+c)
b2−1c2+(a+b+c)
Simplify: 1
Eliminate redundant parentheses
2−12+(++)
b^{2}-1c^{2}+(a+b+c)
b2−1c2+(a+b+c)
2−12+++
b^{2}-1c^{2}+a+b+c
b2−1c2+a+b+c
Solution: 2−12+++
b^{2}-1c^{2}+a+b+c
b2−1c2+a+b+c
Please help?!?!
Thanjss
Answer:
Step-by-step explanation:
y= mx+ b helps you find the equations of the lines
y= x+2 is the line with slope m=1, and y-intercept b=2
y= -4x-3 is the line with slope m=-4, and y-intercept b=-3
y > x+2 because is a dotted line
y ≤ -4x-3 because is a solid line
Answer:
aha i see yo bbg
Step-by-step explanation:
(lipbite)
Petra invests $8000 for 4 years she earned $2000 as compound interest find rate of interest
Answer:
r = 5.74%
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^t
P is the principal = $8000
A = P+I =8000 + 2000 = $10000
time t = 4years
Substitute
10000 = 8000(1+r)^4
10000/8000 = (1+r)^4
10/8 = (1+r)^4
1.25 = (1+r)^4
1.05737126344 = 1+r
r = 1.05737126344 - 1
r = 0.05737126344
r = 5.74%
This gives the rate of interest
A 5-inch candle burns down in 4 hours. How far has it burned after 7 1/2 hours?
Answer:
9 3/8 inches
Step-by-step explanation:
Inches of candle : hours it burned
= 5 inches : 4 hours
How far has it burned after 7 1/2 hours?
Let
x = how far it has burned (inches)
Inches of candle : hours it burned = x inches : 7 1/2 hours
Equate both ratios
5 inches : 4 hours = x inches : 7 1/2 hours
5/4 = x ÷ 7 1/2
5/4 = x ÷ 15/2
5/4 = x * 2/15
5/4 = 2x/15
Cross product
5 * 15 = 4 * 2x
75 = 8x
x = 75/8
x = 9 3/8 inches
x = how far it has burned (inches) = 9 3/8 inches
Of the 585 people that live in Benton, 187 live within two miles of the post office. Use mental math to find how many people live farther than two miles from the post office.
It clearly states to use mental math not brainly, sorry bro can't do anything for you
The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 18cm
Work out the width of the rectangle
Answer:
18 cm
Step-by-step explanation:
Let X represent a square
For it to be a rectangle, needs to be:
X X X
X X X
X X X
(It's a giant square made of squares)
This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.
For Example:
X X X X
X X X X X
It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.
So if the length is 18cm, the width is also 18cm.
Match each expression on the left with an equivalent expression on the right.
The expression on the left matched with an equivalent expression on the right are;
3x + 0 = 3x
5/3 - x + 1/3 = -3/2x + 2 + 1/2x
2x - 3 = x - 3 + x
2x - 6 = -6 + 2x
3/5 - 13/5 = -6.9 + 4.9
How to solve equivalent expression?3x + 0 = 3x
5/3 - x + 1/3
combine like terms
= 5/3 + 1/3 - x
= (5+1)/3 - x
= 6/3 - x
= 2 - x
-3/2x + 2 + 1/2x
combine like terms
-3/2x + 1/2x + 2
= (-3+1)x / 2 + 2
= -2/2x + 2
= -x + 2
2x - 3 = x - 3 + x
2x - 6 = -6 + 2x
3/5 - 13/5
= (3-13)/5
= -10/5
= -2
-6.9 + 4.9
= -2
Ultimately, an expression is said to be equivalent when the value on the right hand side is equal to the value on the left hand side.
Read more on equivalent expression:
https://brainly.com/question/15775046
#SPJ1
Can someone please tell me the answer and explain how to do this, no links please thank you
Step-by-step explanation:
3-0= 3
2-(-2)= 4
3/4= 0.75
Equation of a gradient is [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]On a quiz there are four multiple-choice questions worth 3 points each and two true/false questionsworth 1 point each . Each multiple-choice question has five possible choices . If a student randomlyguesses on each question , what is the expected value of the student's score on the test ?
Answer:
The expected value of the student's score on the test is 3.4.
Step-by-step explanation:
Multiple choice questions:
worth 3 points.
Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:
[tex]m = 3\frac{1}{5} = 0.6[/tex]
True/false questions:
worth 1 point.
2 options, one of which is correct, so the expected value for each is:
[tex]t = 1\frac{1}{2} = 0.5[/tex]
What is the expected value of the student's score on the test ?
4 multiple choice, two true-false. So
[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]
The expected value of the student's score on the test is 3.4.
hey! i’ll give brainliest please help
Answer:
D
hope this helps
have a good day :)
Step-by-step explanation:
Which answer choice correctly names the circle?
Answer:
Step-by-step explanation:
Is their suppposed to be a pic
3/4 + (1/3 ÷ 1/6) - (-1/2)
Please give answer as a fraction
Answer: 13/4
Step-by-step explanation: it was 3.25 and that as a fraction is 13/4
3/4 + ( 1/3 × 6 ) + 1/2 =
3/4 + 2/4 + ( 2 ) =
3 + 2/4 + 8/4 =
5/4 + 8/4 =
5 + 8/4 =
13/4
Which verbal expression best represents the algebraic expression 3n-4n ?
A
three less than four times a number
B
four less than three times a number
C
three times four subtracted from a number
D
four times the difference of a number and three
Answer:
B. four less than three times a number
Select the perfect square trinomial from among the options below!
you will be marked as brainliest
A ) ( x - 3 )( x + 1 ) [ not perfect ]
B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]
C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]
D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]
Thus the correct answer is option D .
PLEASE HELP WITH GEOMETRY!!
Answer:
x = 14.1
Step-by-step explanation:
sin (40) = x/22
x = 22 (sin(40))
x = 14.1
DEFINATION OF HABIT IN 50 WORLDS?
Answer:
Something you do frequently or on a regular basis is known as a habit.
When he gets nervous, he has a cute habit of licking his lips. [includes]
...an investigation into the eating habits of people in the United Kingdom.
Step-by-step explanation:
Carter needs to wrap seven presents. He lays the ribbon out flat and says that I'll have just enough pieces if I make six equally spaced cuts, I can use one piece for each package. And I won't have any pieces left over. Does he have enough pieces to wrap all the presents?
Answer:
Yes, he has enough pieces to wrap the present
Step-by-step explanation:
Given
[tex]Presents = 7[/tex]
[tex]Cuts = 6[/tex]
Required
Is there enough pieces to wrap all presents
As a general rule;
When a piece is cut in 1 place, you get 2 pieces
When a piece is cut in 2 places, you get 3 pieces
When a piece is cut in 3 place, you get 4 pieces
This implies that:
n cuts gives n + 1 pieces
i.e.
[tex]n \to n + 1[/tex]
So, we have:
[tex]6\ cuts \to (6 + 1) pieces[/tex]
[tex]6\ cuts \to 7\ pieces[/tex]
Hence, there are enough pieces.
simply the complex numbers: (2 + 5i)(1 – 3i)
Answer:
17 just multiply the like dot product of vectors
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.
Plzzzz helpppppppp!!!!!
Answer:
I say electrons
Step-by-step explanation:
It has more electrons than protons so it becomes - charged
fin the area of this trapezoid
Answer:
The answer would be 96
Step-by-step explanation:
Because 20/2=10x2=20
19x4=76
20+76=96
A ladder leans against the wall at the point B
(window end) from a ground level and makes an
angle horizontally at 52º. The height of ladder is 15
m. When the same ladder leans above the point B
at point A (window start) and makes an angle of 85°
horizontally. The distance between point A and
point B is
Answer:
..........
Step-by-step explanation:
Given:
The height of the ladder = 15 m
When the ladder leans at point B from the ground level, then it makes an angle of 52° with the horizontal
When the ladder leans at point A from the ground level, then it makes an angle of 85° with the horizontal
To find:
The distance between point A and point B is?
Solution:
To solve the above-given problem, we will use the following trigonometric ratio of a triangle:
Referring to the figure attached below, we will assume,
BD = AD = 15 m = height of the ladder
∠BDC = 52° = angle of elevation to the foot of the window
∠ADC = 85° = angle of elevation to the top of the window
Now,
In ΔBCD, we have
Opposite side = BC
Hypotenuse = BD = 15 m
θ = 52°
∴
and
In ΔACD, we have
Opposite side = AC
Hypotenuse = AD = 15 m
θ = 85°
∴
∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m
Thus, the distance between point A and point B is 3.12 m.
-----------------------------------------------------------------------------------------------
Also View:
A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.
What are the solutions to the equation x² + 16x + 14 = 0?
Answer:
-8+5√2 and -8-5√2
Step-by-step explanation:
Given the expression x² + 16x + 14 = 0
USing the general formulas
x = -16±√16²-4(14)/2
x = -16±√256-56/2
x = -16±√200/2
x = -16±10√2/2
x = -8±5√2
Hence the required solutions are -8+5√2 and -8-5√2
1/6 + 1/2 x (2 -2/3)
Answer:
5/6
Step-by-step explanation:
See the steps below:)
Answer:
5/6
Step-by-step explanation:
PEMDAS
PLS HELP ME!!!!!!!!!!
Answer:
1) yes, SAS
2) yes, AAS
3) yes, SAS
4) not enough information to know
Step-by-step explanation:
Can someone help me with this thank you
Answer:
30 sq cm
Step-by-step explanation:
The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:
Area = 10 cm x 3 cm
Area = 30 sq cm
find the diameter of a circle with the circumference of 10cm
write answer in equation y=mx+b
Answer:
y = 50x + 150
Step-by-step explanation:
The y-intercept is 150. b = 150
The slope is found using two points such as (2014, 450) and (2010, 250)
m = (450 - 250)/(2014 - 2010) = 200/4 = 50
y = mx + b
y = 50x + 150
round to the nearest 10th
Answer:
look below
Step-by-step explanation:
To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
PLEASE HELP!! THIS FOR THE LAST ASSIGNMENT FOR THE SUMMER!!! 20 POINTS FOR ANSWER AND END OF SCHOOL YEAR!!!
A writer has just finished typing the manuscript for a book that is 354 pages long. There is one illustration on every thirtieth page, starting on page 1. How many illustrations are there?
A. 13 illustrations
B. 11 illustrations
C. 14 illustrations
D.12 illustrations
Answer:
11
Step-by-step explanation:
dont forget to five-star and heart!