10. If a + b = 10, what is the value of 2(a + b) + + + (a + b)2 – 4
11. The cost of a hamburger and a soft drink together is $2.23. The cost of 2 hamburgers and
3 soft drink together is $5.26 What is the cost of a soft drink? What is the cost of a burger?
Answers
Answer:
answer for 10th question is 121
Step-by-step explanation:
2(a+b)+a+b/2+(a+b)^2-4
=2(10)+10/2+(10)^2-4
=20+5+100-4
=125-4
=121
Answer:
10. 121 11. Hamburger = $1.43
Step-by-step explanation:
2(a + b) + (a + b)/2 + (a + b)² - 4
2(10) + (10)/2 + (10)² - 4
20 + 5 + 100 - 4
25 + 100 - 4
125 - 4 = 121
11. Let H = Hamburger and Soft Drink = D
H + D = $2.23
2 H + 3D = $5.26
H + D = $2.23 Solve for D
D = $2.23 - H
2H + 3D = $5.26 Now substitute the value of H into the second equation.
2H + 3($ 2.23 - H) = $5.26
2H + $6.69 - 3H = $5.26
-H + $6.69 = $5.26
-H = - $1.43
H = $1.43
Related Questions
Here's a question ~
can anyone give the explanation ?
Answers
Answer:
See belowStep-by-step explanation:
As per the question we have:
The y - intercept is b = -1The slope has same angle with x- and y - axis.This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.
So the lines could be:
y = x - 1 ory = -x - 1Lines must be perpendicular to each other as they are cutting at y intercept -1
Slope intercept form of line
for slope -1
y=-x-1For slope 1
y=x-1
You start at (9, 5). You move left 3 units and up 1 unit. Where do you end?
Answers
Hello!
(9,5)
3 units left: (6, 5) (we subtract 3 from the x-coordinate)
1 unit up: (6, 6) (we add 1 to the y-coordinate)
Hope this helps you!
~Just a joyful teen
[tex]SilentNature[/tex]
hi can anyone help with this question thx
first part of the question is in the pic
second part is here and it is:
York to London is a distance of 175miles
How many miles an hour faster was the first part of the journey?
Answers
Answer:
88 miles per hour
Step-by-step explanation:
12 + 122 = 134 minutes for the entire journey
The total distance was 197 miles.
The avarage speed is the total distance divided by the total time:
Convert the time from minutes to hours dividing it by 60:
134/60 = 2.24 hours
197/2.24 = 87.95 ≈ 88 miles per hour
In 2007, the number of tickets sold was again 210.
Adult tickets were $2.60 each and student tickets were $1.40 each.
The total amount received from selling the 210 tickets was $480.
How many student tickets were sold?
Answers
Step-by-step explanation:
1.40x + 2.60x = 480
4x =480
x=480÷4
x=120
168 and 312
\frac { 3 ^ { p + 1 } - 3 ^ { p } } { 2 \times 3 ^ { p } } = 1
Answers
Answer:
Given equation:
[tex](3^{p+1} - 3^p) /(2 *3^p) = 1[/tex]Solving for p:
[tex]3^{p+1} - 3^p = 2 *3^p[/tex][tex]3*3^p - 3^p = 2 *3^p[/tex][tex]2 *3^p =2 *3^p[/tex]p - any real number
We can state the initial expression is correct for any value of p.
Answer:
True for all p
Step-by-step explanation:
Given equation:
[tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]
Multiply both sides by [tex]2 \times 3^p[/tex]:
[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]
Add [tex]3^p[/tex] to both sides:
[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]
[tex]\implies 3^{p+1}=3 \times 3^p[/tex]
Rewrite 3 as 3¹:
[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 3^{p+1}=3^{1+p}[/tex]
[tex]\implies 3^{p+1}=3^{p+1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies p+1=p+1[/tex]
Subtract 1 from both sides:
[tex]\implies p+1-1=p+1-1[/tex]
[tex]\implies p=p[/tex]
Therefore as both sides are equal, true for all p.
are my choices correct?
pls check math geniuses!!
Answers
X would be 10, and 2 because:
(10-10) = 0 and (2-2) = 0
The extraneous solution is correct because the equation does not hold true when x is 2 and only hold trues when it is 10.
Edit: the extraneous solution is 2 is because it doesn't hold true to the equation.
whats the error? I SOLVED AND CHECKED. Is it correct? Im confused… pls help il will give brainliest
Answers
Answer:
32 in represents perimeter u added length times width once which would only give half of the rectangle
Step-by-step explanation:
2(3w+8+w) =32
6w+16+2w =32
8w+16 = 32
8w=16
w=2
By which rule are these triangles congruent. A. AAS B. ASA C. SAS D. SSS
Answers
{[(3x+8)+6(2.5x-3)]}
Answers
Answer: The answer is 18x + 26
Step-by-step explanation:
What I did was simplify the Expression of (3x+8)+6(2.5x-3) then combine the terms and last evaluate the Expression.
find the greater common factor
2x^2+7x-30
Answers
Answer:
ty
Step-by-step explanation:
HELPP FAST im tired and it's due realy really really soon
Answers
The linear inequality is 2y - 3x >_ -2
Biancas number line is C
use order of operations
Answers
Answer:
97
Step-by-step explanation:
[tex] {4}^{2} + 3(37 - (2 \times 5)) \\ {4}^{2} + 3(37 - 10) \\ {4}^{2} + 3(27) \\ {4}^{2} + 81 \\ 16 + 81 \\ 97[/tex]
Hope this helps! Brainliest would be really appreciated!
if Brian is driving 50 miles per hour how far did he drive
Answers
Answer:
2.5 km long after 59 miles
Answer:
50 miles
Step-by-step explanation:
JJ withdraws $20 from his bank account every week for lunch. Suppose he does not make any additional deposits or withdrawals. What integer represents the change in value of JJ's bank account after nine weeks?
Answers
Answer:
-118
Step-by-step explanation:
Since he is withdrawing, the value of 20 will be negative.
And if he is withdrawing $20 over nine weeks, then it is a multiplication problem.
So,
-20 x 9 = -118
Write a sentence for the equation.
2(t+4q)=2q+4t
Answers
Two point three tens times m equals zero point forty six hundredths
The given equation in the form of a statement can be written as Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and four times of t.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be written in the form of an statement as:
Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and four times of t.
Hence, the given equation in the form of a statement can be written as Two times of the sum of the t and 4 times of q is equal to the sum of two times of q and four times of t.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
112°
?
find the measure of each angle indicated. the angle is supplementary.
Answers
Answer:
68
Step-by-step explanation:
Consider the matrix.
6 3
5 4
What is the value of |C|?
|C|=
Answers
Answer:
e0
Step-by-step explanation:
Rabbit populations can double every 30
days. If there are 10 rabbits on a farm,
how many rabbits will be on the farm
after 120 days?
First, complete the equation:
Future Amount = [?](1+10
=
Answers
This means you will DOUBLE the 10 rabbits 4 times.
10+10=20
20+20=40
40+40=80
80+80=160
A concert earned $3,745 in ticket sales. One ticket to the concert cost $35.
How many tickets were purchased for the concert?
Answers
Answer:
107 concert tickets were bought
Step-by-step explanation:
look at the figures how can u prove the triangles are congruent is it
A)
B)
C)
Answers
Answer:
ABC by the SSS postulate
ASA rule shows 1 side is congruent and 2 angles congruent
SAS rule shows 2 sides are congruent and 1 angle congruent
SSS rule shows 3 sides are congruent as angles already proven ASA and SAS
why is this not a polynomial?
3^x - x/3 + x^3
Answers
Answer:
It is not a polynomial because the polynomial is the term given to an expression which has coefficients as well as variables with powers having a non-negative entegral value or we can say natural number. The power of the variable × here is not an integer so 3/× is not a polynomial
Step-by-step explanation:
I hope I helped you
Answer:
below
Step-by-step explanation:
-x/3 + x³ is polynomial
3ˣ IS NOT a polynomial, it makes the function be an "exponential function", which does not fit the criteria of polynomial definition.
What Is the slope of the line on the graph?
Answers
Answer:The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.
Step-by-step explanation:
Román preguntó en servicio al cliente si le podían fabricar los Zetas con medidas especiales aló cual respondieron que si él requiere una loseta cuadrada con un aria de 225 m² cuanto miden los lados de la loseta que le fabricaron
Answers
Answer:
Los lados de la lista cuadrada que le fabricaron miden 15 m
Step-by-step explanation:
Hola! Sabemos que la loseta tiene área cuadrada y que el área del cuadrado está dada por:
Ac = a²
Donde a es la medida de los lados del cuadrado.
Para hallar la medida de la lista cuadrada despejamos a aplicando raíz cuadrada a ambos miembros:
a = √(Ac)
a = √(225 m²)
a = 15 m
Los lados de la lista cuadrada que le fabricaron miden 15 m
Respuesta: Los lados de la lista cuadrada que le fabricaron miden 15 m
Explicación paso a paso:
Hola! Sabemos que la loseta tiene área cuadrada y que el área del cuadrado está dada por:
Ac = a²
Donde a es la medida de los lados del cuadrado.
Para hallar la medida de la lista cuadrada despejamos a aplicando raíz cuadrada a ambos miembros:
a = √(Ac)
a = √(225 m²)
a = 15 m
Los lados de la lista cuadrada que le fabricaron miden 15 m
Mrs. Shultz went to New York to do her Christmas shopping. She took a cab to go into the city and they charged her a flat fee of $6 plus $2 for every mile. Mrs. Shultz ended up paying the cab driver $30. How many miles did Mrs. Shultz travel?
Answers
Answer:
12 miles
Step-by-step explanation:
30-6=24
24/2=12 miles
Triangle PQR has vertices P(-2,2), Q(8,2) and R(4,6).
(a) Find the equation of the perpendicular bisector of segment PQ.
I got so confused on this question if I could get help it would mean a lot
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
You can forget about point R. It does not have any part in this problem, except to add confusion.
The given line PQ has the same y-coordinate values for points P and Q. This means the segment is a horizontal segment. Its perpendicular bisector will be a vertical line through its midpoint.
The midpoint (M) of PQ is ...
M = (P +Q)/2
M = ((-2, 2) +(8, 2))/2 = (-2+8, 2+2)/2 = (6, 4)/2
M = (3, 2)
The vertical line through a point with x-coordinate 3 will have the equation ...
x = 3
What are the two solutions of the equation x² – 14x - 32 = 0?
Answers
HI how was your day today
Please show all steps to 2- (-1)
Answers
Answer:
3
Step-by-step explanation:
2-(-1)=2+1=3
-
What is the equation of the line that passes through the point (-4,-7) and has a
slope of?
Answers
Answer:
y = -4 x -9
Step-by-step explanation:
If it wrong i'm sorry
A person walked 19km in 2.0 hr. What is the person’s average velocity in km/he and in m/sec?
Answers
Answer:
9.5km/hr and 16.667m/s
Step-by-step explanation:
velocity = Distance / Time
v = 19/2 --> v = 9.5km/hr
v = 2000m/120s --> v = 16.66666667m/s
For each Given function value, write a corresponding ordered pair
f(3)=6
g(0)=-1/2
Please Explain
Answers
Answer:
(3, 6)
(0, -1/2)
Step-by-step explanation:
in a function like f(x)
The f() represents the function and the x represents the x value you plug into the function. f(x) is the same as the y value, it is just used to show what the y value would be at a certain x value for that function
_____
f(3) = 6 means when the function f is at x = 3, the function, f = 6.
so it would be (3, 6)
g(0) = -1/2 means the function g is at x = 0, the function, f = -1/2.
so it would be (0, -1/2)