Given :
Emilie rides her bike x miles before she gets a flat tire.
She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.
To Find :
Which expression shows how many miles Emilie travels in all.
Solution :
We know, total distance covered is given by sum of all the distance she travelled.
Distance covered, D = x + 1/3 + 2 1/2
D = x + 1/3 + 5/2
D = (6x + 2 + 15)/6
D = (6x + 17)/6
Therefore, total distance travelled by Emilie is (6x + 17)/6 .
How many solutions are there to the equation below?
9(x - 4) = 9x - 33
A. O
B. 1
C. Infinitely many
Answer:
A. there are no solutions
Step-by-step explanation:
You can work at most 20 hours next week. You need to earn at least $92 to cover your weekly expenses. Your dog-
walking job pays $7.50 per hour and your job as a car wash attendant pays $6 per hour. Write a system of linear
inequalities to model the situation. Only set up what they look like. Do not solve!
I need help with this^^
Answer:
x+y ≤ 20
7.50x+6y ≥ 92
x = dog walking in hours
y = car washing in hours
help this is my exit ticket HURRY LOTS OF POINTS
Answer:
The answer for this question ( ur exit ticket ) is C .
Answer:
C
Step-by-step explanation:
We're told that for Sylvia to make a pink paint, he needs to mix 7 cups of white paint to every 3 cups of white paint.
Looking at the options , the correct one is C because it shows that the number of pink paints made.
For instance, if we're to make 1 pink paint , we'll need 7 of white paint and 3 cups of red paint.
If we're to make 2 pink paints, we'll need 14 cups of white paint and 6 cups of red paint
if we're to make 3 pink paints, we'll need 21 cups of white paint and 9 cups of red paint and so forth
PLEASE MARK ME AS BRAINLIEST
The width of the rectangle is 5x-4. The length of the rectangle is 5
What is the simplified expression for the area of the rectangle?
Answer:
The area of the rectangle A = 25x² - 20x
Step-by-step explanation:
Given
The width of the rectangle = w = 5x - 4
The length of a rectangle = l = 5x
To determine
The area of the rectangle = ?
Using the Formula to determine the area of the rectangle
[tex]A = wl[/tex]
substitute w = 5x - 4 and l = 5x in the formula
[tex]A = (5x-4) (5x)[/tex]
Apply distributive law: a(b-c) = ab - ac
[tex]=\left(5x\right)\cdot \:5x-\left(5x\right)\cdot \:4[/tex]
[tex]=5x\left(5x\right)-4\left(5x\right)[/tex]
as 5x(5x) = 25x² and 4(5x) = 20x, so
[tex]=25x^2-20x[/tex]
Therefore, the area of the rectangle A = 25x² - 20x
I need help on three questions. I hope it doesn't take up a lot of time.
1) Solve x+9−3≤14. Graph the solution.
2)Solve 44>7+s+26. Graph the solution.
3Solve 6.1−0.3≥c+1. Graph the solution.
Thank you if you answer these i will mark your answer Brainliest.
Answer:
1) x ≤ 8
2) s < 11
3) c ≤ 4.8
Step-by-step explanation:
1) x+9-3≤14
x+6≤14
x ≤ 8
2) 44>7+s+26
44>33+s
s < 44-33
s <11
3) 6.1 - 0.3 ≥ c + 1
5.8 ≥ c + 1
c ≤ 4.8
Last week the office used boxes of paper. This week they used boxes of paper. How many more boxes did they use last week than this week?
Lol I need help again
Answer:
Nope no help. :d
Step-by-step explanation:
Write the polynomial as a product of linear factors
I put a picture
Please help!!!!
ot
2. Which of the following is a true statement?
A. All real numbers are rational numbers.
B. All whole numbers are natural numbers.
C. All integers are whole numbers.
D. All natural numbers are integers.
What's the answer????
Answer:
Range: (2, 14)
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, our line's y-values span from 2 to 14. Since both 2 and 14 are open dot, they are exclusive from the range:
Interval Notation: (2, 14)
Inequality Notation: 2 < y < 14
what is half of three minuntes
Answer:
I think it's 90
Step-by-step explanation:
A every minute is 60 secs
60 times 3 = 180
180 divided by 2 =90
I have two measurements of 1ft. 8in. and 3ft. 7in. For some trim I need to buy at Lowe’s what is the total measurement I would tell them I need to buy
Answer:
5ft 3in
Step-by-step explanation:
plzzzz help meeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
we have the set
[tex]3m+4n = 2\\\\5m-4n = 14[/tex]
add them both
[tex](3m+4n)+(5m-4n) = 2+14\\\\(3m+5m)+(4n-4n) = 16\\\\8m=16\\\\m = \frac{16}{8}\\\\m = 2[/tex]
now plug in m = 2 in equation 1 (it could aso be equation 2)
[tex]3m+4n = 2\\\\3(2)+4n = 2\\\\6+4n = 2\\\\4n = 2-6\\\\4n = -4\\\\n = -1[/tex]
so the solution is
m = 2
n = -1
One evening, 1255 people went to the movies to see Gone with the wind. The box office receipts totaled to 12,295. The price of admission for adults is $10.00 and for children, it is $7.00. Write an equation for how many people went to see the movie. Write an equation for the amount of money made at the box office. How many of each type of ticket did they sell (adult and children)?
Answer:
Number of adult tickets sold = 1170
Number of children tickets sold = 85
Step-by-step explanation:
Let,
x be the number of adult tickets sold
y be the number of child tickets sold
According to given statement;
x+y = 1255 Eqn 1
10x+7y=12295 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=1255)
10x+10y=12550 Eqn 3
Subtracting Eqn 2 from Eqn 3
(10x+10y)-(10x+7y) = 12550 - 12295
10x+10y-10x-7y= 255
3y = 255
Dividing both sides by 3
[tex]\frac{3y}{3}=\frac{255}{3}\\y=85[/tex]
Putting y=85 in Eqn 1
x+85 = 1255
x = 1255-85
x = 1170
Hence,
Number of adult tickets sold = 1170
Number of children tickets sold = 85
Find the roots of the equation 3x^2 - 2x + 4 = 2x^2 - 4 in simplest form
Answer:
3 x 2 − 2 x + 4 = 2 x 2 − 4
Step-by-step explanation:
Write the problem as a mathematical expression.
3 x 2 − 2 x + 4 = 2 x 2 − 4
Subtract 2 x 2 − 4 from both sides of the equation.
3 x 2 − 2 x + 4 − 2 x 2 − 4 = 0
Simplify each term.
Subtract 4 from 2 . 3 x 2 − 2 x + 4 − 2 x − 2 = 0
Rewrite the expression using the negative exponent rule
b − n =1 b n . 3 x 2 − 2 x + 4 − 2 1 x 2 = 0
Combine − 2 and 1 x 2 . 3 x 2 − 2 x + 4 + − 2 x 2 = 0
Move the negative in front of the fraction.
3 x 2 − 2 x + 4 − 2 x 2 = 0
Label the sides with its corresponding ratio in the special right triangle given below. The answer choice may be used more than once.
PLEASE HELP ME WITH THIS ASAP!!!
Answer: One
Step-by-step explanation: hard
Answer:
See below
Step-by-step explanation:
It is 30°x60° right triangle
It has sides a against 30° angle, √3a against 60° angle and 2a hypotenuse
Vertical leg = 1Horizontal leg = √3Hypotenuse = 2the functions f and g are such that f(x) =3x-2 and g (x)=x-3
1 calculate the valve of g (-2)
ANSWER FAST!!!!!!!
Answer:
The value of g(-2) = -5
Step-by-step explanation:
Explanation:-
Given functions are f (x) = 3 x - 2 and g(x) = x-3
Given g (x) = x-3
Put x = -2 in g (x) = x-3
⇒ g ( -2 ) = - 2 -3 = -5
The value of g(-2) = -5
I NEED AN ANSWER QUICK PLSSSSS
An experiement on the toxicity of mercury is conducted on a group of 85 lab rats. When all the rats are given a dose of 39 mg/kg, 40 of the test subjects died from overdosing of mercury.
What is the death rate (in percentage %) at this dosage?
Round your answer to the nearest whole number!
does anyone know this?
Answer:
y=2x+3
Step-by-step explanation:
A piece of wire is 76cm long. It is cut into two unequal parts and each part is bent into a square. The sum of the areas of the two squares is 205cm². Find the length of the shorter part of the wire.
Answer:
The length of the shorter part of the wire is 24 centimeters.
Step-by-step explanation:
Let [tex]L[/tex] the total length of the piece of wire, where [tex]L-x[/tex] and [tex]x[/tex] are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are [tex]\frac{L-x}{4}[/tex] and [tex]\frac{x}{4}[/tex]. From statement we find that the sum of the areas of the two squares ([tex]A[/tex]), measured in square centimeters, is represented by the following expression:
[tex]A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}[/tex] (1)
And we expand this polynomial below:
[tex]A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}[/tex]
[tex]A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}[/tex]
[tex]2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0[/tex] (2)
If we know that [tex]L = 76\,cm[/tex] and [tex]A = 205\,cm^{2 }[/tex], then the length of the shorter part of the wire is:
[tex]2\cdot x^{2}-152\cdot x +2496 = 0[/tex]
By the Quadratic Formula, we determine the roots associated with the polynomial:
[tex]x_{1} = 52\,cm[/tex], [tex]x_{2} = 24\,cm[/tex]
The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.
Help me please! This is very confusing.
Answer: 60°
Step-by-step explanation:
Answer: x=60
Step-by-step explanation:
120+120= 240
360-240= 120
120/2= 60
What is the value for x in the diagram? Rounded to the tenth
Answer:
26.2
Step-by-step explanation:
Pythagoras theorem
Answer:
x ≈ 10,54 units
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 17² = 20²
x² + 289 = 400 ( subtract 289 from both sides )
x² = 111 ( take the square root of both sides )
x = [tex]\sqrt{111}[/tex] ≈ 10.54 ( to 2 dec. places )
Juan has 5 boxes of pencils with x pencils in each. What expression would you use to represent the
total number of pencils that Juan has? Help plz
Answer:
5x
Step-by-step explanation:
If Juan has the same x amount of pencils in each of his five boxes then you would multiply 5 times x to find the total number of pencils he has.
i need help please!1
Answer:
for the first picture, she cleans 30 windows
the second picture is 52/100 :)
Answer:
It's B for the first one.
For the second one, it is C
Step-by-step explanation:
30 * 0.3 = 9
So 30% of 30 is 9. She did 9 windows.
0.52 = 52/100
It's 52/100 because 0.52 = 52%. 52% then equals 52/100.
52/100 = 13/25
So the answer is 13/25
38%
12:19 Mon 18 Jan
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6. In the diagram,
AB = x cm
BC = (x + 5) cm
CD= (2x - 1) cm
AD = 28 cm
D
B
a Show that 4x + 4 = 28
(2 marks)
b Solve 4x + 4 = 28
(2 marks)
c Work out the length of BD.
(2 marks)
Answer:
The answer is below
Step-by-step explanation:
The line segment addition postulate states that for a line segment AC, another point B lies on AC if the below equation is satisfied:
AB + BC = BC
a) From the question, since point B and C lies on AD, then:
AD= AB + BC + CD
Substituting:
28 = (x) + (x + 5) + (2x - 1)
collecting like terms:
x + x + 2x + 5 - 1 = 28
Simplifying:
4x + 4 = 28
b) Simplifying the equation:
4x + 4 = 28
subtract 4 from both sides:
4x + 4 - 4 = 28 - 4
4x = 24
Divide through by 4:
4x / 4 = 24 / 4
x = 6
c) Also, BD = BC + CD
Hence:
BD = (x + 5) + (2x - 1)
x + 2x + 5 - 1 = BD
3x + 4 = BD
substitute value of x:
3(6) + 4 = BD
18 + 4 = BD
BD = 22
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Is there a solution YES OR NO AND WHAT IS THE SOLUTION? PLS DO IT IN POINT FORM!!
Answer:
the solution is (-6, -14 )
Answer: yes there is a solution at (-2,-2)
Step-by-step explanation:
Graph both of the equations and where they cross each other is the solution they cross at (-2,-2)
What is 4+4+4×40_56
Answer:
[tex]112[/tex]
The answer is 112
A student argues that Y= X/9 does not represent a proportional relationship between X and because we need to multiply one variable by the same constant to get the other one and not divide it by a constant. Do you agree or disagree with this student?
Answer:
Disagree
Step-by-step explanation:
disagree. dividing by 9 is the same as multiplying by 1/9. we can look at the equation y = x/9 as y = 1/9x. also, y/x = 1/9 is constant for all corresponding values of x and y
please help! thank you <3 (20 points)
Answer:
163
Step-by-step explanation:
[tex]4^{2}+6*5^{2}-3^{3}/3^{2}[/tex]
16+6*25-27/9
=163
2 point
1) What is mZWXY?
WS
K
60°
40°
20"
40"
60°
100
pre cacl pleaseeeee help. the options are in the attachments as well
Answer:
The values of [tex]x[/tex] so that [tex]y = \csc x[/tex] have vertical asymptotes are [tex]-2\pi[/tex], [tex]-\pi[/tex], [tex]0[/tex], [tex]\pi[/tex], [tex]2\pi[/tex].
Step-by-step explanation:
The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of [tex]x[/tex] so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is [tex]\pi[/tex]. Then, the vertical asymptotes associated with function cosecant are located in the values of [tex]x[/tex] of the form:
[tex]x = 0\pm \pi\cdot i[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]
In other words, the values of [tex]x[/tex] so that [tex]y = \csc x[/tex] have vertical asymptotes are [tex]-2\pi[/tex], [tex]-\pi[/tex], [tex]0[/tex], [tex]\pi[/tex], [tex]2\pi[/tex].
