Answer:
6
Step-by-step explanation:
4.5(x-9)=-13.5
((distribute the 4.5 to the x (4.5x) and distribute the 4.5 to the -9 (-40.5)))
4.5x-40.5=-13.5
4.5x=27
x=27/4.5
x=6
A system has an infinite number of solutions. one equation is 3x-3y=8. Which could be the other equation in the system of equations?
Answer:
[tex]6x-6y-16=0[/tex]
Step-by-step explanation:
Consider the following system of equations:
[tex]a_1x+b_1y+c_1=0\\\\a_2x+b_2y+c_2=0[/tex]
The system of equations has infinite solutions if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
One equation is [tex]3x-3y=8[/tex]
[tex]3x-3y-8=0[/tex]
Take another equation as [tex]6x-6y-16=0[/tex]
So, the two equations are [tex]3x-3y-8=0[/tex] and [tex]6x-6y-16=0[/tex]
[tex]a_1=3,b_1=-3,c_1=-8,a_2=6,b_2=-6,c_2=-16[/tex]
[tex]\frac{a_1}{a_2}=\frac{3}{6}=\frac{1}{2}\\ \frac{b_1}{b_2}=\frac{-3}{-6}=\frac{1}{2}\\ \frac{c_1}{c_2}=\frac{-8}{-16}=\frac{1}{2}[/tex]
So,
[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
Therefore, another equation can be [tex]6x-6y-16=0[/tex]
A silk worm grows twice asd long as it was the day before .If the worm measures v40 mm on the 10 th day, on which day was it 2.5 mm long
Answer:
On the sixth day (10 - 4), the worm was 2.5mm long.
Step-by-step explanation:
Giving the following information:
Future Value= 40mm
Present Value= 2.5mm
Number of periods (n)= ?
Growth rate= 100% per day
First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):
n= ln(FV/PV) / ln(1+i)
n= ln (40 / 2.5) / ln (2)
n= 4
It will take 4 days.
On the sixth day (10 - 4), the worm was 2.5mm long.
A fmaily wants to rent a van for a four day camping trip. The rental cost is $32.00 per day plu s$0.15 per miles driven. Their vacation budget allows them to spend $225.00 to rent the van. Which expression represents the number of miles that they can drive without going over their budget?
Answer:
The expression is: (225 - (32 × 4))/0.15
Steps:
first we'll calculate the rental cost of 4 days without the miles driven
32 × 4 = $128.00
now we'll calculate the money that can be spent on miles
225 - 128 = $97.00
with $97.00 they can drive: 646.66 miles
97 / 0.15 = 646.66 miles
The expression is: (225 - (32 × 4))/0.15
is 0.568568 rational or irrational
Hey guys 25 points and brainliest!
Answer:
9.1 = a + 4
Step-by-step explanation:
Find the radius of a circle with a circumference of 94.25ft
Answer: approximately 15
Step-by-step explanation:
Answer:
radius = 5.48ft
Step-by-step explanation:
The formula for the circumference of a circle is: C = πr² or pie times the radius squared.
Now that we know this, we can plug in the equation.
94.25 = πr²
÷π ÷π
30 = r²
√30 = √r²
5.48 = r
So, the radius of the circle is 5.48 ft
A circular garden has a diameter of 10 yards. What is the area of
the garden? Use 3.14 for iz
HELPPP?? ASAPP???
Answer:
Step-by-step explanation:
you do 10/2 for the radius, so that will be 5. then you do 3.14*5*5= 78.5
HELP ME ASAPPPP PLEASE HLEPPPPPO
Answer:
14800 sq yd
Step-by-step explanation:
area of a trapeziod
What to say say back to some if they say no one asked you?
Answer: The answer to your question is to not ask clearly you just answered your own question like yoooooooooooooooooooo.
Step-by-step explanation:
if the radius of a circle is r cm, what is the measure of its circumference? write
Write each of the following expressions without using absolute value.
−|−3|+|−7|
tysm----if you solved----:P
Answer:
-3+7=4 is the answer if thats what you is looking for
Step-by-step explanation:
Horace measured a circular lid and found d, the diameter, was 8 inches and C, the circumference, was 25 inches.
Answer:
A/C ≅ 2
Step-by-step explanation:
diameter of circle d = 8 in
Circumference of the circle C= 25 in
Let us assume we have to find the area of the circular lid A = [tex]\frac{\pi}{4}d^2[/tex]
⇒ A= [tex]\frac{\pi}{4}\times8^2= 50.24 in^2[/tex]
Therefore ratio of area to circumference A/C = 50.24/25 = 2.0096≅2
What is MCAD
A. 25
B.90
C.100
D.115
Please help!!!!
Answer:
D.115
Step-by-step explanation:
Use the exterior angle of a triangle theorem which states that the exterior angle of a triangle is equal to the sum of the opposite interior angles meaning D=C+B
HELPPP PLSSSS!!!! ^^ picture above
These figures are similar. What scale factor would you use for their perimeters? GIVING BRAINLY !!
How do I solve for an answer for this?
16k-24
Find the GCF
Find the sum.
(- 8x – 12) + (9x + 4)
Answer:
x-8
......................
Step-by-step explanation:
-8x-12+9x+4
-8x+9x-12+4
x-8
x-8=0
x=8
I don't get what to do with this!
Answer:
76+76=152
Step-by-step explanation:
If PQRS is a kite, answer the question below.
10. The parallelogram below represents a
section of grass at a miniature golf course.
What is the area of the section of grass?
12 ft
Answer:
theres no numbers?
Step-by-step explanation:
Barry carefully measured all three sides of the triangle and the dimensions were as follows: 7 meters, 8 meters, 10 meters. Was it a Right Triangle? Please help!
Answer: Not a right-angled triangle
Step-by-step explanation:
Given
The sides of a triangle are [tex]7\ m, 8\ m, \text{and}\ 10\ m[/tex]
For a right-angle triangle, it must satisfy the Pythagoras theorem
[tex]a^2+b^2=c^2[/tex]
i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides
Here,
[tex]\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\neq 100[/tex]
Therefore, it is not a right-angle triangle
Find X. Round to the nearest tenth of degree.
Answer:
[tex]x=49.16^{\circ}[/tex]
Step-by-step explanation:
We need to find the value of x in the given figure.
It is a right angled triangle, in which base is 19, height is 22.
We can use trigonometry to find x.
We know that,
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Where
P is perpendicular and B is base
So,
[tex]\tan x=\dfrac{22}{19}\\\\x=\tan^{-1}(1.157)\\\\x=49.16^{\circ}[/tex]
So, the value of x is equal to [tex]49.16^{\circ}[/tex].
antonio and emilia are painting a room in their new house. antonio could finish the job in only 6 hours by himself, while emilia could finish the job in only 4 hours by herself. how long would it take them if they worked together?
Answer:
Step-by-step explanation:
Antonio’s rate is 1/6 while Emilia’s rate is 1/4 while working alone, together they will complete the job when.
t/6+t/4=1 making common denominators
(t/6)(2/2)+(t/4)(3/3)=1
(2t+3t)/12=1
5t=12
t=2.4 hours (or 2 hours and 24 minutes)
CAN U PLS ANSWER WILL GIVE BRAINLIEST
Answer: 20 hrs
Step-by-step explanation:
Brooklyn needs to order some new supplies for the restaurant where she works. The
restaurant needs at least 498 glasses. There are currently 230 glasses. If each set on
sale contains 10 glasses, write and solve an inequality which can be used to determine
x, the number of sets of glasses Brooklyn could buy for the restaurant to have enough
glasses.
Answer:
Inequality to determine number of glass sets: 10x + 230 ≥ 498
Solved inequality: x ≥ 26.8 (She needs to buy at least 27 sets)
Step-by-step explanation:
In order to write an inequality to represent this situation, you must first identify the important information:
- The restaurant needs 498 glasses total at the least
- They already have 230 glasses
- Each set of glasses has 10 glasses
Now, you can write an inequality to represent this situation:
498 (needed glasses) ≤ 230 (glasses already owned) + 10x (number of glasses in one set (x))
You can rewrite it as 10x + 230 ≥ 498 so that x is on the left and it is ordered by variable exponential value. Now you have the inequality to represent the situation, so to find the number of sets of glasses Brooklyn could buy, you need to isolate x:
10x + 230 ≥ 498 (given)
10x ≥ 268 (subtract 230 from both sides)
x ≥ 26.8 (divide both sides by 10)
So, Brooklyn needs to buy at least 27 sets since she can't buy 4/5 of a set.
Answer:
10x + 230 ≥ 498
Step-by-step explanation:
Simplify (2i-1)(i^2-3i-7)
Answer: 14-13i
Step-by-step explanation:
Answer:
14 - 13i
Step-by-step explanation:
We MUST do the work inside parentheses before anything else.
Step 1: evaluate i^2: (2i-1)(i^2-3i-7) = (2i-1)(-1 -3i -7)
Step 2: combine like terms inside the parentheses: (2i-1)(-8 - 3i)
Step 3: perform the indicated multiplication of binomials:
-16i + 6 + 8 + 3i
Step 4: combine like terms of the above expression: 14 - 13i
A 12-ounce box of cereal costs $3.60. Which equation correctly relates the price (p) with the weight (w) of the cereal?
Answer:
A. P = 3.3w
Step-by-step explanation:
A. P = 3.3w
B. P = 0.3w
C. P = 3.6w
D. P = 12w
P = price of the cereal
w = weight of the cereal
p = $3.60
w = 12-ounce
3.60p = 12w
Divide both sides by 3.60
3.60p / 3.60 = 12w / 3.60
P = 3.3w
The correct answer is A. P = 3.3w
Julie uses 9.3 pints of white paint and blue paint to paint her bedroom walls. 3/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.
The axis of symmetry is the line x = 6.
The vertex of the graph is at (–6, –11).
The parabola has a minimum.
The parabola opens down.
The value of h, when the equation is written in vertex form, is positive.
Answer:
A D and E
Step-by-step explanation:
The statements true about the graph of the function are
a) The axis of symmetry is the line x = 6
b) The parabola opens down
c) The vertex of the graph is at (-6, -11)
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) = -3x² + 36x - 119
And , the vertex form of the function is
f ( x ) = -3 ( x - 6 )² - 11
Now , The axis of symmetry is the line x = 6. This is true because in vertex form, the equation of the axis of symmetry is given by x = h, where (h, k) is the vertex of the parabola. In this case, the vertex is (6, -11), so the axis of symmetry is x = 6.
The parabola has a minimum. This is also true because the coefficient of the x² term in the given equation is negative (-3), which means the parabola opens downward and has a minimum at the vertex.
Hence , the graph of the polynomial is solved
To learn more about equation of graph of polynomials click :
https://brainly.com/question/16957172
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jose is now six years older than john. in two years jose will be twice as old as john. How old is john now.
Answer:
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⠀⠀⠀⠀⠀⠀⠀⠀⢠⡈⢷⣌⠙⠛⠁⠀⠀⠀⠀⠀⠀⠰⣦⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⡉⠛⠛⠀⠀⠀⠀⠀⠀⠀⢀⠈⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢦⣀⠉⠛⠷⠖⠀⠀⠀⠀⠀⠀⠀⠘⠿⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣀⠙⠳⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⢠⠛⠛⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠰⣦⣄⠈⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠺⠿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠟⠁⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⣀⣀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠻⠿⠿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣻⣿⣿⣔⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠉⠉⠁⠀⠀⠀⠀
Step-by-step explanation:
Answer:
John is currently 6 years old.
You can find this by setting John's original age as x and Jose's original age as x + 6. Then we can set up an equation adding two to both.
John's new age = x + 2
Jose's new age = x + 8
Now we can multiply John's new age by two and set equal to Jose's age, since Jose's new age is twice as much as John's.
2(x + 2) = x + 8
2x + 4 = x + 8
x + 4 = 8
x = 4
This means John's original age is 4 and his new age is 6.
Step-by-step explanation: