Answers
Answer:
(C) 0.3(10 + 4h) = 0.25(6h)
Step-by-step explanation:
Here's what we know about Fernando's fees:
$10 is the initial fee
$4 is the hourly fee (h)
Saves 30% (also written as 0.3) of the total cost (includes initial and hourly fee)
Here's what we know about Brenna's fees:
No initial fee
$6 is the hourly fee (h)
Saves 25% (also written as 0.25) of the total cost (just the hourly fee because she doesn't have an initial fee)
We want to find which hour Fernando and Brenna will have saved the same amount of money.
To do this, let's first set up an equation for Fernando and Brenna separately:
Fernando's equation:
0.3(10 + 4h) = how much money he saves from the total cost
Brenna's equation:
0.25(6h) = how much money she saves from the total cost
Now we set them equal to each other:
0.3(10 + 4h) = 0.25(6h)
There's your answer!
Hope it helps (●'◡'●)
Related Questions
Use the coordinates of the labeled point to find the point- slope equation of the line
Answers
Answer:
[tex]A(0,3)(x_1,y_2)[/tex]
[tex]B(2,-5)(x_2,y_2)[/tex]
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\longrightarrow[/tex] [tex]\frac{-5-3}{2-0}[/tex]
[tex]\longrightarrow \frac{8}{2}[/tex]
[tex]\longrightarrow -4[/tex]
[tex]y-y_2=m(x-x_2)[/tex]
[tex]\longrightarrow y-(-5)=-4(x-2)[/tex]
[tex]\longrightarrow y+5=-4(x-2)[/tex]
[tex]ANSWER:B[/tex]
--------------------------
hope it helps...
have a great day!!
4 ounces of cooked sausage per person - once the raw sausage is cooked it yields 50%. How many pounds of raw sausage is needed to feed 50 people
Answers
4 ounces x 2= 8 ounces
8 ounces x 50 people = 400 ounces
(-6)^-1 multiply by x = 27^-1. find x
Answers
Answer:
-32 shall be multiplied to get the answer.
Step-by-step explanation:
DON'T MIND MY WRITING!!
A particle is projected with a velocity of [tex]29.4ms^-^1[/tex] . Find it's maximum range on a horizontal plane through the point of projection.
A.88.2m B.44.1m C.32.6m D.29.4m E.14.7m
Answers
A.88.2m
Answer:
Solution given:
initial velocity[u]=29.4m/s
g=9.8m/s²
maximum range=?
now
we have
[tex]\theta=90°[/tex]
maximum range =[tex]\frac{29.4²*sin90}{9.8}=88.2m[/tex]
The initial velocity is,
→ u = 29.4 m/s
General assumption,
→ g = 9.8m/s²
→ θ = 90°
Then the maximum range is,
→ (29.4² × sin90)/9.8
→ 88.2 m
Hence, option (A) is answer.
Which is the largest three-digit number of the form 9k + 1, where k is any positive integer?
Answers
Answer:
991
Step-by-step explanation:
We are looking for a number that is one more than a multiple of 9(denoted by the 9k) and is a three digit number. We can start by looking for 3-digit number divisible by 9 which are close to 1,000, since that is the next number larger than the largest three-digit number. We can tell that 999 is divisible by 9 because when divided it does not leave a remainder(you can also figure this out with divisibility tricks). We add one to get 1,000. This is not a three-digit number, so we need to look for a smaller multiple of 9. Subtracting 9 from 999, we get the next largest multiple of 9. We can add 1, and this time, the number, 991, is a three digit number, and the largest that can be in the form 9k + 1.
Hi, may someone help me with this question? Thank you!:)
“If f(x) = x^2 + 7, find f(x+2)”
Answers
Answer:
=x^2 +4x+11
Step-by-step explanation:
f(x) = x^2 + 7,
Replace x with x+2
f(x+2) = (x+2)^2 + 7
= (x+2)(x+2) +7
FOIL
= x^2 +2x+2x+4 +7
Combine like terms
=x^2 +4x+11
Answer:
[tex]f(x+2)=x^2+4x+11[/tex]
Step-by-step explanation:
In [tex]f(x)=x^2+7[/tex], for all values of [tex]x[/tex], we substitute [tex]x[/tex] (what is in the parentheses) into [tex]x^2+7[/tex] to output a [tex]y[/tex] value.
In [tex]f(x+2)[/tex], the term [tex](x+2)[/tex] is in the parentheses. Therefore, substitute [tex](x+2)[/tex] for [tex]x[/tex] in [tex]x^2+7[/tex] to find [tex]f(x+2)[/tex]:
[tex]f(x+2)=(x+2)^2+7[/tex]
Expand using [tex](a+b)^2=a^2+2ab+b^2[/tex],
[tex]f(x+2)=x^2+4x+4+7[/tex]
Combine like terms:
[tex]\boxed{f(x+2)=x^2+4x+11}[/tex]
BRAINLIEST FOR EXPLANATION (my own question)
SO when you have a point on a graph, say it's at (-3,7), and you have to graph the dot after a rotation of 90 degrees counterclockwise around the origin, how would you know what to do?
So I know it is (x,y)--> (-y,x), but having the dot as (-7,3) wouldn't work if you followed that equation. Am I doing it right? If not, how would you apply that 'equation' to (-3,7)?
Answers
Answer:
(-7, -3)
Step-by-step explanation:
So the formula is (x, y) --> (-y, x) for a 90 degrees counterclockwise rotation.
To apply this formula to (-3,7), first identify which is the x-coordinate and which is the y-coordinate.
x-coordinate is -3 & y-coordinate is 7
Then you literally just substitute it into the formula like so:
(-y, x) -->(-(7), (-3)) --> (-7, -3)
Try to put parantheses around the coordinate when substituting to prevent confusion & incorrect negative signs.
Hope it helps and good luck (●'◡'●)
Answer:
(-7,-3)
Step-by-step explanation:
You could read (x,y)->(-y,x) as if I have the point (x,y), the image point is (opposite of y,x).
So shorthand the rule is just saying
(x,y)->(opposite of y, x)
(-3,7)->(-7,-3)
A few more examples:
(5,7)->(-7,5)
(-5,7)->(-7,-5)
(-5,-7)->(7-,5)
(5,-7)->(7,5)
This whole explanation comes down to reading-u as opposite of u.
Opposite just means to change the sign.
Another way to read -u is -1×u.
Example:
Q: evaluate -u if u=8
A: -8
Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×8=-8 or the opposite or 8 is -8.
Example:
Q: evaluate -u if u=-8
A: 8
Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×-8=8 or the opposite or -8 is 8.
what is the answer of this questoin 2c-3b+6+7b-2b+11?
Answers
Answer:
[tex]2c+2b+17[/tex]
Step-by-step explanation:
-----------------------
Given:
[tex]2c-3b+6+7b-2b+11[/tex]
---------->>>>
Collect like terms.
[tex]2c+(-3b+7b-2b)+(6+11)[/tex]
---------->>>>
Simplify
[tex]2c+2b+17[/tex]
------------------------
Hope this is helpful.
Answer:
2c-2b+17 if using algebra
Step-by-step explanation:
firstly group like terms 2c+(-3b)+7b-2b+6+11
2c-2b+17
For every quarter in his pocket, John also has 5 pennies in his pocket. If the total of the coins in John’s pocket is $ 5.40, how many quarters does John have in his pocket.
Answers
If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?
The difference of twice a number and five is three.Find the number.Translate the world problem to an equation.Which steps describe how to solve the equation?
Answers
Answer:
Step-by-step explanation:
let the number=x
2x-5=3
2x=3+5
2x=8
x=8/2=4
Please answer fast!!!!!!
The sum of the reciprocals of two consecutive even integers is
9/40. This can be represented by the equation shown.
1/x+1/x+2=9/40
Use the rational equation to determine the integers. Show all work.
Answers
Answer:
8 and 10
Step-by-step explanation:
Given
[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{x+2}[/tex] = [tex]\frac{9}{40}[/tex] ← combine the fractions on the left side
[tex]\frac{x+2+x}{x(x+2)}[/tex] = [tex]\frac{9}{40}[/tex]
[tex]\frac{2x+2}{x^2+2x}[/tex] = [tex]\frac{9}{40}[/tex] ( cross- multiply )
9(x² + 2x) = 40(2x + 2) ← distribute both sides
9x² + 18x = 80x + 80 ( subtract 80x + 80 from both sides )
9x² - 62x - 80 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 9 × - 80 = - 720 and sum = - 62
The factors are - 72 and + 10
Use these factors to split the x- term
9x² - 72x + 10x - 80 = 0 ( factor the first/second and third/fourth terms )
9x(x - 8) + 10(x - 8) = 0 ← factor out (x - 8) from each term
(x - 8)(9x + 10) = 0
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
9x + 10 = 0 ⇒ 9x = - 10 ⇒ x = - [tex]\frac{10}{9}[/tex]
x is an integer , then x = 8 and x + 2 = 8 + 2 = 10
The integers are 8 and 10
Answers: Integers are x=8, x=10.
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answers
Answer:
Rectangle shaped cross section is formed by intersection of plane and prism.
Step-by-step explanation:
Given: A rectangular Prism.
To find: Shape of Cross Section when a plane intersect the prism diagonally
A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.
Figure is attached.
In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.
Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.
If xy = 6 and x = 2, then x + y =
Answers
Answer:
5
Step-by-step explanation:
xy= 6
x= 2
x + y = ?
Plug in x=2 in the first equation:
2y=6
y=3
then plug x=2 and y=3 into the one you're solving for:
2+3=5
Hope that helps!
options: (50)^1/2, (65)^1/2, (105)^1/2, (145)^1/2
last sentence options: 55.21, 85.16, 105.26, 114.11
Answers
Answer:
Step-by-step explanation:
Vertices of ΔABC are,
A(-3, 6), B(2, 1) and C(9, 5)
Use the formula to get the distance between two points [tex](x_1,y_1)[/tex] and[tex](x_2,y_2)[/tex],
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
By using the formula,
AB = [tex]\sqrt{(1-6)^2+(2+3)^2}[/tex]
= [tex]\sqrt{50}[/tex] units
BC = [tex]\sqrt{(5-1)^2+(9-2)^2}[/tex]
= [tex]\sqrt{65}[/tex] units
AC = [tex]\sqrt{(6-5)^2+(-3-9)^2}[/tex]
= [tex]\sqrt{145}[/tex]
Use cosine rule to find the measure of ∠ABC.
AC² = AB² + BC²- 2(AB)(BC)cos(B)
[tex](\sqrt{145})^2=(\sqrt{50})^2+(\sqrt{65})^2-2(\sqrt{50})(\sqrt{65})\text{cosB}[/tex]
145 = 50 + 65 - 2(√3250)cosB
cos(B) = [tex]-(\frac{145-115}{2\sqrt{3250}})[/tex]
= -0.26312
B = [tex]\text{cos}^{-1}(-0.26312)[/tex]
B = 105.26°
Please help!!! ASAP!
Answers
Answer:
so what we have to do first is multiply 9*10
which is 90 now we divide by two to get 45
now we multiply 45 by 20 to get
900
Hope This Helps!!!
In a right triangle ABC angle B is the right angle and m angle C = 30 degrees if AC = 10 what is AB
Answers
Answer:
AB = 5Step-by-step explanation:
This is a 30°-60°-90° right triangle.
AC is hypotenuse, AB is opposite side to 30° angle.
We know that in such a triangle the side opposite to 30° angle is half the hypotenuse.
So we have:
AB = 1/2AC = 1/2(10) = 5Which equation does the graph above represent?
A. y = 2x
B. y = 1/2x
C. y = 1/2
D. y = 2 + x
Answers
Answer:
y=2x
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).
1) Determine the slope (m)
The slope is the rate of change, or the number of units the line moves up divided by the number of units the line moves to the right.
Looking at the graph, we can see that for every 1 space the line travels to the right, the line travels 2 spaces up. This makes the slope of the line 2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=2x+b[/tex]
2) Determine the y-intercept (b)
When x=0 on the graph, y=0. Therefore, the y-intercept is 0. Plug this into [tex]y=2x+b[/tex]:
[tex]y=2x+0\\y=2x[/tex]
I hope this helps!
Three less than 3 times a number, n, is
19 more than twice the number. What
is the number?
А
17
B
19
21
D 22
Answers
The equation is:
3n - 3 = 2n + 19
=> 3n - 2n = 19 + 3
=> n = 22
So, the answer is 22.
A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.
Answers
Answer:
[tex]Height = 12cm[/tex]
Step-by-step explanation:
Given
[tex]Volume = 1200cm^3[/tex]
The dimension of the base is:
[tex]Base =10cm[/tex]
[tex]Sides = 13cm[/tex]
See comment for complete question
Required
The height of the base
To do this, we make use of Pythagoras theorem where:
[tex]Sides^2 = (Base/2)^2 + Height^2[/tex]
So, we have:
[tex]13^2 = (10/2)^2 + Height^2[/tex]
[tex]13^2 = 5^2 + Height^2[/tex]
[tex]169 = 25 + Height^2[/tex]
Collect like terms
[tex]Height^2 = 169 - 25[/tex]
[tex]Height^2 = 144[/tex]
Take square roots of both sides
[tex]Height = 12cm[/tex]
use the graph to find the value of y=sin q for the value of q 330
Answers
Answer: A) -0.5
Explanation:
Each tickmark is an increment of 30. Start at 270 and move 1 tickmark over to get to 270+30 = 300. Then another tickmark to the right gets us to 330.
Then from here, head straight down until you get to the curve. You should arrive at the point (330, -0.5)
So q = 330 pairs up with y = -0.5
what is the value of b in this equation?
A. -20
B. -6
C. 6
D. 20
Answers
Answer:
Step-by-step explanation:
a- 12
b- 2
c- 11
and the next part is
x- 6
y- 18
Answer:
B
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{-m}[/tex] = [tex]\frac{1}{m}[/tex]
Then
[tex](y^b)^{4}[/tex] = [tex]\frac{1}{y^{24} }[/tex]
[tex]y^{4b}[/tex] = [tex]y^{-24}[/tex]
Equate the exponents
4b = - 24 ( divide both sides by 4 )
b = - 6 → C
f(x) = 3x + 2
What is (5)?
O A. 21
B. 17
C. 15
O D. 10
Answers
X=5
f(5) = 3x + 2
= 3(5) + 2
= 15+2
= 17
Hope this help you
use abc to find the value of sin b
Answers
Answer:
12/37
Step-by-step explanation:
We know ,
=> sin B = p/h
=> sin B = 12/ 37
Answer:
Step-by-step explanation:
[tex]Sin \ B = \frac{opposite \ side }{hypotenuse}\\\\Sin \ B = \frac{35}{37}\\\\[/tex]
Solve for X.
-8x - 4(x - 4) = 88
Please show work
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\huge x=-6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\-8x-4(x-4)=88\\-------------\\\rightarrow -8x-4x+16=88\\\\\rightarrow -12x + 16 = 88\\\\\rightarrow -12x + 16 - 16 = 88 - 16\\\\\rightarrow -12x = 72\\\\\rightarrow \frac{-12x=72}{12}\\\\\rightarrow \boxed{x=-6}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer: x = -6
Step-by-step explanation: Start by changing the - 4 to plus a negative 4 so that you know you're distributing a -4 through the parentheses.
So we have -8x - 4x + 16 = 88.
Simplifying the left side further gives us -12x + 16 = 88.
Now subtract 16 from both sides to get -12x = 72.
From here it should be easy to find the x = -6.
please help and dont get it wrong! thank you =)))
Answers
Answer:
tanong mo sa may mga nakaka alam niyan para walang mali, thanks
Help mee A scout troop are hiking in a forest. Starting from their base, they walk 4.2km south followed by 7.1km west. They want to walk the shortest distance back to their base. On what bearing should the scouts walk?
Answers
Answer:
They should walk on a bearing of 59.4 degrees
Step-by-step explanation:
Given
[tex]South = 4.2km[/tex]
[tex]West = 7.1km[/tex]
Required
The bearing back to the base
The given question is illustrated with the attached image.
To do this, we simply calculate the measure of angle a using:
[tex]\tan(a) = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(a) = \frac{7.1}{4,2}[/tex]
[tex]\tan(a) = 1.6905[/tex]
Take arctan of both sides
[tex]a = \tan^{-1}(1.6905)[/tex]
[tex]a = 59.4^o[/tex]
The bearing that the scout should work is N59.4W for the shortest distance
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let A represent the angle that the scouts walk
tan∠A = 4.2/7.1
A = 30.6°
The bearing that the scout should work is N59.4W (90 - 30.6) for the shortest distance
Find out more on Trigonometric ratio at: https://brainly.com/question/4326804
Find the Value of x a.86 b.79 c.65 .72
Answers
Answer: D
Step-by-step explanation:
360° - 90° - 90° - 108° = 72°
(Sum of angles in a quadrilateral = 360°)
Find the length of AC. Round to the nearest hundredth if necessary.
Answers
Answer:
13.86
Step-by-step explanation:
In ∆ ABC ,
cos 30° = AC/BC√3/2 = AC/ 16 AC = 16 * √3/2 AC = 8√3 AC = 8 * 1.732AC = 13.86Which of the relations given by the following sets of ordered pairs is not a function?
0 [(5,0), (4,0), (3,0), (2,0), (1,0)}
{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)}
{(-8,3), (- 6,5), (- 4,2), ( - 2,7), ( - 1,4)}
{(-6,4), ( – 3, - 2), (0,5), (1, - 2), (2,3)}
Answers
Answer:
{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)} is not a function.
Step-by-step explanation:
For a function to be a function, there is only ever one y value per x value. In this set, -1 has two outputs, or y values. It has -1 and 1. As a result, this is not a function.
Type the correct answer in each box. Use numerals instead of words.
Consider this expression.
- 4x2 + 2x - 5(1 + x)
What expression is equivalent to the given expression?
Answers
Answer:
4x² + 3x + 5
Step-by-step explanation:
Given:
- 4x² + 2x - 5(1 + x)
Open parenthesis
= - 4x² + 2x - 5 - 5x
= - 4x² + 2x - 5x - 5
= - 4x² - 3x - 5
Multiply through by -1
= - 1( - 4x² - 3x - 5)
= 4x² + 3x + 5
Write
4 in the first box
3 in the second box
5 in the third box
