Answer:
500 miles
Step-by-step explanation:
Step one:
A car costs $3,500 and costs $4 in gas to drive fifteen miles
let the total cost be y and let the number of miles be x
y= 3500+4x-----------1
If another car costs $4,500 but only need $2 in gas to drive fifteen miles,
let the total cost be y and let the number of miles be x
y= 4500+2x----------------2
Step two:
Equate the two expressions for the total cost
3500+4x=4500+2x
solve for x
4x-2x=4500-3500
2x= 1000
divide both sides by 2
x= 1000/2
x= 500 miles
PLEASE ANSWER MY LATEST QUESTION PLEASE
WHY WONT NOONE ANSWER IT PLEASEE ITIS DUE IN A FEW MINUTES!!!
Answer:
i will see if i can figure it out
gl dude
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ok ill try to find it and answer it
What is the solution to this equation?
9x + 5 = 86
Answer: 9(9)+ 5 = 86
Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86
Answer:
x = 9
Step-by-step explanation:
9x + 5 = 86, minus 5 of both sides
9x = 81, divide 9 on both sides
x = 9
7. Hannah’s cell phone plan has a start up fee of $200 and there is a charge of $50 per month.
Write an equation to show the total cost of her cell phone plan, where x is the number of months and y is the total cost (monthly charge and total cost)
Answer:
y=200+50x
Step-by-step explanation:
There are 10 squares and 6 triangles. What is the simplest ratio of triangles to total shapes?
Answer:
3 : 8
Step-by-step explanation:
→ Find the sum of the shapes
10 + 6 = 16
→ Relate the triangles : total shapes
6 : 16
→ Divide by 2 on both sides
3 : 8
Solve the system.
6x - 2y + z = -2
2x + 3y – 3z = 11
х+ 6у = 31
After Multiplying 3 with the eq. (i) we will add this to eq. (ii)
[tex] \sf 18x - 6y + 3z = - 2[/tex]
[tex] \sf2x + 3y - 3z = 11[/tex]
_______________________[tex]⇒ \sf20x - 3y = 9 \: \: .........(iv)[/tex]
After Multiplying 2 with the eq. (iv) we will add this to eq. (iii)
[tex] \sf \: x + 6y = 31[/tex]
[tex] \sf40x - 6y = 18[/tex]
_________________[tex] \sf \: 41x = 49[/tex]
[tex]⇒ \sf \: x = \frac{49}{41} [/tex]
After putting the value of x in the eq. (iii)
[tex] \sf \frac{49}{41} + 6y = 31[/tex]
[tex]⇒ \sf6y = 31 - \frac{49}{41} [/tex]
[tex] \sf \: ⇒ 6y = \frac{1271 - 49 }{41} [/tex]
[tex]⇒ \sf6y = \frac{1222}{41} [/tex]
[tex]⇒ \sf \: y = \frac{1222}{41 \times 6} [/tex]
[tex]⇒ \sf \: y = \frac{611}{123} [/tex]
After putting the value of x and y into eq. (i)
[tex] \sf6 \times \frac{49}{41} - 2 \times \frac{611}{123} + z = -2 [/tex]
[tex]⇒ \sf\frac{294}{41} - \frac{1222}{123} + 2 = - z[/tex]
[tex]⇒ \sf \frac{882 - 1222 + 246}{123} = - z[/tex]
[tex]⇒ \sf - \frac{94}{123} = - z[/tex]
[tex]⇒ \sf \: z = \frac{94}{123} [/tex]
Hence,
[tex] \bf • \: The \: value \: of \: x = \frac{49}{41}
[tex] \bf • \: The \: value \: of \: x = \frac{49}{41} [/tex]
[tex] \bf • \: The \: value \: of \: y = \frac{611}{123}
[tex] \bf • \: The \: value \: of \: y = \frac{611}{123}[/tex]
[tex] \bf• \: The \: value \: of \: z \: = \frac{94}{123}[/tex]
Which set of numbers includes only integers? Left-brace 14, 9, one-third, 0, 243 Right-brace Left-brace 14, negative 7, 0, 243, negative 3 Right-brace Left-brace 14, Negative StartFraction 9 Over 10 EndFraction, 56, 0, negative 243 Right-brace Left-brace 14, 2.3, 654, 0, 9 Right-brace
Answer: Left-brace 14, negative 7, 0, 243, negative 3 Right-brace
Step-by-step explanation:
To obtain our answer, we need to know what an integer means and hence, it's properties or characteristics ;
An integer must be an whole number including Zero, which means no fractions
Similarly, integer numbers could be either positive or negative in value.
Hence, from the set represented above ;
(14, - 7, 0, 243, - 3) ; all the numbers in the set conform to the characteristics expected of an integer.
Answer:B
Step-by-step explanation:
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 37 books. There are 1,221 mystery books. How many shelves will he need to build? (please help I suck at mathhhh!)
Answer:
33
Step-by-step explanation:
Landon is building new book shelves for his bookstore's new mystery section
Each of the shelf can hold 37 books
There are 1221 mystery books
Therefore the number of shelves that Landon will need to build can be calculated as follows
= 1221/37
= 33
Hence Landon needs to build 33 shelves
Answer and explain step by step.
Answer:
Step-by-step explanation:
it no solution
No solution is parallel to each other.
solution crosses each other.
infinite is only one line.
On a piece of paper, graph y< x + 1. Then determine which answer matches
the graph you drew.
Answer:
Step-by-step explanation:
Mom is 8 years older than 4 times Sarah’s age. The sum of their ages is less than 83. What is Sarah’s oldest possible age?
Identify:
Strategize:
Set up:
Solve:
Check:
Jing-mei starts out being excited and confident about her mother's plans for her. She believes that if she and her mother found the right kind of prodigy for Jing-mei, then Jing-mei would one day become a perfect child. As she begins losing hope, however, Jing-mei's character starts to change. Tired of constantly failing her mother's high expectations, she decides to set her own expectations, and she becomes willful, disobedient, and vocal. Ironically, her motivation throughout the story stays the same; she wants her mother to love and accept her. She knows she'll never be the type of girl her mother wants, so she resists her mother's wishes. Yet by doing the opposite of what her mother wants, Jing-mei still cannot feel that acceptance that she really wants
I need help ASAP I don’t no how to dl this so if please leave a explanation but if you don’t want to you don’t have to
Answer:
f-1(x)=2x over x-1
Step-by-step explanation:
What is the radius of a hemisphere with a volume of 324\text{ ft}^3,324 ft 3 , to the nearest tenth of a foot?
Answer:
5.4 ft
Step-by-step explanation:
Given that the volume of the hemisphere sphere, [tex]V= 324 ft^3[/tex].
Let r be the radius of the hemisphere.
As the volume of the hemisphere, [tex]V=\frac {2}{3}\pi r^3[/tex]
By using the given value, we have
[tex]\frac {2}{3}\pi r^3=324[/tex]
[tex]\Rightarrow r^3=\frac{324\times 3}{2\pi} \\\\\Rightarrow r^3=\frac{324\times 3}{2\times3.14} \\\\\Rightarrow r^3=154.78 \\\\\Rightarrow r=\left( 154.78 \right)^{1/3} \\\\[/tex]
[tex]\Rightarrow r=5.4[/tex] ft
Hence, the radius of the hemisphere is 5.4 ft.
Find the area of the polygon with the given vertices.
NC (– 2, 1), P(3, 1), Q(3,-1), R( – 2, -1)
what is the area in
square units.
Answer:
A= w . h = 10
Step-by-step explanation:
Look at attached graphic.
It's a rectangle.
width (in x axe) = length between 3 to -2 = 5
height (in y axe) = length between 1 to -1 = 2
-5 less than or equal to negative z over 3
=2
if f is a linear function, f(k)=16 and f(-k)= -4 then what is the value of f(0)?
f(0) = ( f(k) +f(-k) ) / 2
f(0) = (16 - 4) / 2
f(0) = 12 / 2
f(0) = 6 → ANSWER
*Remember that f(0) = m(0) + n = n
If we have f(x) = mx + n, then:
f(k)= mk + n and f(-k)= -mk + n
If we add them:
f(k) + f(-k)
= mk + n -mk + n
= 2n
= 2f(0)
So we conclude that:
f(0) = [f(k) + f(-k)] / 2
3. Timber Hill Tennis Club sells monthly
memberships for $72 and tennis rackets for
$150 each. The tennis club has a sales goal
of $5400 per month.
a. Write a linear equation that
describes the problem
The linear equation that describes the problem 72x + 150y = 5400.
What is a linear equation in mathematics?A linear equation seems to be an algebraic equation of the form y=mx+b, including only a constant and an initial (linear) component, where m is the slope, as well as b,as well as b is the y-intercept. The preceding is sometimes referred to as a "linear equation with two variables," where both x and y are the variables.
Why is it termed a linear equation?The graph of a linear equation is a straight line. Linear Equation Definition: A linear equation seems to be an algebraic equation in which each term has an exponent of one and when graphed, it always results in some kind of a straight line. it is called a 'linear equation.'
According to the given data:Tennis Club sells monthly memberships for $72.
Tennis rackets for $150.
The tennis club sales goal of $5400 per month.
The linear equation.
72x + 150y = 5400.
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3x + 2y = 12 y = x - 9
solve by substitution
5, 4, 16/5...
Find the 7th term.
HELP DUE AT 11:59!
Answer:
a₇ = [tex]\frac{4096}{3125}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r = 4 ÷ 5 = [tex]\frac{4}{5}[/tex]
r = [tex]\frac{16}{5}[/tex] ÷ 4 = [tex]\frac{4}{5}[/tex]
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 5 and r = [tex]\frac{4}{5}[/tex] , thus
a₇ = 5 × [tex](\frac{4}{5}) ^{6}[/tex] = 5 × [tex]\frac{4096}{15625}[/tex] = [tex]\frac{4096}{3125}[/tex]
Help please :)) Thanksss
check it out . it seems to be the right answer. .
Which of the sets of ordered pairs represents a function? (5 points)
A= {(2. -2), (5, -5), (-2, 2). (-5, 5))
B= {(4, 2). (4, -2). (9, 3). (9, -3)}
O1) Only A
O2) Only B
O3) Both A and B
O4) Neither A nor B
Answer:
The answer is choices Only A
Step-by-step explanation:
hope this helps
how many groups of 7/4 are in 1
Answer:28
Step-by-step explanation:
HELP PLEASE ILL GIVE BRAINLIEST
An agent makes 15% commission on an athlete's signing bonus. If the bonus is $25,000, what is the agent's commission?
Answer:
3750
Step-by-step explanation:
Answer:
25,000 x 0.15 =3750
Step-by-step explanation:
Please help meh asap with this math problem
Answer: Checkings, Retirement, Savings
What equals C in this problem?
Answer:
m<A + m<B + m<C = 180
53+90+m<C=180
m<C=180-143
m<C=37
A rock is thrown from the top of a ladder. The function
h(t) = -16t² + 120t + 10 gives the height of the rock t seconds after it is
thrown a certain number of feet.
1. What is the initial height that the rock was thrown from?
Answer:
h'(t)=88
Step-by-step explanation:
h'(t)=d/dt (-16t x 2 + 120t + 10)
h'(t)=d/dt (-32t + 120t + 10)
h'(t)=d/dt (88t + 10)
h'(t)=d/dt (88t) + d/dt (10)
h'(t)=88 + 0
The algebraic expression p(x) = 3x^4 +1 can become a polynomial:
a) for any value of a, b and c
b) a + b=c
c) b=0
d) b=√2
Answer:
A polynomial p(x) in one variable x is a mathematical articulation in x of the structure p(x) = anx n + an−1x n−1 + ....... + a2x 2 + a1 x + a0, where a0, a1, a2, .... an are individually the coefficients of x 0 , x 1 , x 2 , .... x n and n is known as the level of the polynomial if a ≠ 0. Each anx n ; an−1x n−1 ; .... a0, is known as a term of the polynomial p(x)
55% of what number is 264?
Answer:
132
Step-by-step explanation:
⠀⠀⠀⠀⠀
(X+5)²+3x+15
This is the equation
The factors of the given equation (X+5)²+3x+15 are x(x+20)(x+2).
What do we mean by equations?An equation is made up of expressions that have the same value.A formula is a two- or more-variable equation that represents a relationship between the variables. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.The equation is: (X+5)²+3x+15
Then,(X+5)²+3x+15
x² + 25 + 3x + 15x² + 3x + 40x² + x ( + ) + 40x² + x ( 20 + 20 ) + 40x² + 20x + 20x + 40x ( x + 20 ) + 20 ( x + 2 )Factors are: x(x+20)(x+2)
Therefore, the factors of the given equation (X+5)²+3x+15 are x(x+20)(x+2).
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y = 2x + 1
x + 3y = 17
Answer: x=2 and y=5
Step-by-step explanation:
Substitute the Y= equation for the Y in the second equation.
ie: x+3(2x+1)=17
Now all of your variables are the same and you can solve for X. You should get X=2.
Then plug 2 in for X in the first equation
ie: y=2(2)+1
Then solve for Y. You should get 5
What is the area of the bedroom ?
Answer:
what bedroom...............?
Answer:
[tex]95ft^2[/tex]
Step-by-step explanation:
We need to multiply 10 feet by 9 feet 6 inches.
6 inches is half a foot so technically 9 feet 6 inches is 9.5 feet.
Multiply 10 by 9.5.
(10)(9.5) = 95
Therefore the answer is 95ft squared.
Hope this helps!!
- Kay :)