A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay?
Answer:
$80
Step-by-step explanation:
10x + 30 = y
He wants to rent it for 5 hours, so we replace x with 5.
10(5) + 30 = 80
He should expect to pay $80 for the rental.
The record high temperature in January was 18 degrees. The record low temperature was –7 degrees. What is the amount of change between the high and low temperatures
Answer: [tex]25^{\circ}[/tex]
Step-by-step explanation:
Given
The highest temperature recorded is [tex]18^{\circ}[/tex]
The lowest temperature recorded is [tex]-7^{\circ}[/tex]
The amount of change between the high and the low temperatures is
[tex]\Rightarrow 18-(-7)=18+7\\\Rightarrow 25^{\circ}[/tex]
can u pls help me with this question
Answer
x + 7.
Step-by-step explanation:
The answer is X + 7 because you know, 8x + 13 and if 7x - 9 we're solded. We remove 7x at 8x so at least we have only one x and we remove 9 than 16 so we have 7. That's why the reply is x + 7. Sorry if I wasn't clear, I am not really good at english.
find the median of data set: 23, 31, 32, 34, 39, 38, 38, 34, 38
Answer: 34
Hope this helps :)
ratio of 6 kg 400 gram.is
Answer:
the ratio of 6 kg 400 gram is 1:662
True or false; The radian value of 3n/2 corresponds to the positive y-axis?
True
False
Answer:
true
Step-by-step explanation:
A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bowl can hold? A 2.094 cm B. 524 cm C. 262 cm
Answer:
C. 262 cm
Step-by-step explanation:
Use the formula for the volume of a sphere, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
Since the diameter is 10 cm, the radius will be 5 cm
Plug in the radius into the formula:
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](5³)
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](125)
V = 523.6
Since the bowl is a hemisphere, divide this by 2:
523.6/2
= 261.8
Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.
So, the correct answer is C. 262 cm
ALGEBRA 1:
FIND THE PRODUCT OF THE FOLLOWING:
(2x+6)(2x-6)
please somebody help me, if you’re correct i’ll give you an extra 50 points for helping. please do not use my question for points as i am failing and truly need help i’m so stressed lol.
La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.
what is the y intercept of the linear function graphed here
Answer:
0,-1
Step-by-step explanation:
Select all the equations that have no solution and state your reasoning as of "why" they do not have a solution. +6=5+ x+6=5+x −2(−3)=-2+6 −2(x−3)=-2x+6 4−4=3+2 4−4x=3x+2 4(+1)=3(+2) 4(x+1)=3(x+2) 5−3=-3+4 5−3x=-3x+4
Equations:
[tex]x+6=5+x[/tex]
[tex]-2(x-3)=-2x+6[/tex]
[tex]4-4x=3x+2[/tex]
[tex]4(x+1)=3(x+2)[/tex]
[tex]5-3x=-3x+4[/tex]
Answer:
[tex]x+6=5+x[/tex]
[tex]5-3x=-3x+4[/tex]
Step-by-step explanation:
Given
[tex]x+6=5+x[/tex]
[tex]-2(x-3)=-2x+6[/tex]
[tex]4-4x=3x+2[/tex]
[tex]4(x+1)=3(x+2)[/tex]
[tex]5-3x=-3x+4[/tex]
Required:
Which have no solution
[tex]x+6=5+x[/tex]
Subtract x from both sides
[tex]x -x+6 = 5 + x - x[/tex]
[tex]6 = 5[/tex]
[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]
[tex]-2(x-3)=-2x+6[/tex]
Open bracket
[tex]-2x + 6 = -2x + 6[/tex]
Both sides are equal.
Hence, there is an [tex]Infinite\ Number[/tex] of Solutions
[tex]4-4x=3x+2[/tex]
Collect like terms
[tex]-3x - 4x = 2 - 4[/tex]
[tex]-7x = -2[/tex]
Solve for x
[tex]x = \frac{-2}{-7}[/tex]
[tex]x = \frac{2}{7}[/tex] --- This has a solution
[tex]4(x+1)=3(x+2)[/tex]
Open brackets
[tex]4x + 4 = 3x + 6[/tex]
Collect like terms
[tex]4x-3x = 6 - 4[/tex]
[tex]x = 2[/tex] --- This has a solution
[tex]5-3x=-3x+4[/tex]
Add 3x to both sides
[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]
[tex]5 = 4[/tex]
[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]
what does it mean to evaluate an expression in 5th grade
Answer:
Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.
Does that make sense?
Step-by-step explanation:
Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is:
a.
Add the next even number
c.
Cube the number of the term, n
b.
Square the number of the term, n
d.
Add 2 + the number of the term, n
Please select the best answer from the choices provided
A
B
C
D
Answer:36
Step-by-step explanation:it just is
PLEASE HELP ME!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Given the proportion a/b = 8/15, what ratio completes the equivalent proportion a/8=?
Answer:
a/8 = b/15
Step-by-step explanation:
a/b = 8/15 -- divide both side by 8 and multiple both side by b
a/8 = b/15
Which distribution is symmetrical (bell shaped)?
A)
B)
L
1
o
D)
Answer:
D
Step-by-step explanation:
D starts low on both sides but is highest in the middle
WILL GIVE BRAINLIEST
Answer:
The answer is D
2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j
How does Ray Bradbury's description of Margot's appearance in "All Summer in a Day" also give insight into her feelings?
Answer:
The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.
Step-by-step explanation:
The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.
Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.
find the value of given expression
[tex] \sqrt{4} \times (2)[/tex]
Step-by-step explanation:
Given
[tex] \sqrt{4} \times (2) \\ \sqrt{ {2}^{2} } \times 2 \\ = 2 \times 2 \\ = 4
Hope it will help :)❤
Look at the explanation to understand.
Step-by-step explanation:
Step 1.
Apply the rule. (a) = a
For this expression, (2) = 2
[tex]\sqrt{4}\times2[/tex]
Step 2.
Multiply 4 by 2.
4 × 2 = 8
Step 3.
Prime factorization of 8: 2³
[tex]\sqrt{2^3}[/tex]
Step 4.
Apply the exponent rule. [tex](a^b^+^c=a^b\times a^c)[/tex]
2³ = 2² × 2
[tex]\sqrt{2^2\times2}[/tex]
Step 5.
Apply the radical rule. [tex]\sqrt{ab}=\sqrt{a}\sqrt{b}, a\geq 0, b\geq 0[/tex]
[tex]\sqrt{2^2}\sqrt{2}[/tex]
Step 6.
Apply the radical rule again. [tex]\sqrt{a^2}=a, a\geq 0[/tex]
[tex]2\sqrt{2}=4[/tex]
Hence, 4 is the answer.
How many solutions does this equation have?
–1 + 11 − h = –20 + 9h
help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]
Answer:
[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:distribute tan(θ):
=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0
remove parentheses:
=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0
so this equation is now in standard form i.e ax²+bx+c=0
we can solve by factoring as we solve quadratic equation
factor out tanθ:
=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0
factor out -√3:
=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0
group:
=>(tan(θ)-√3)(tan(θ)-1)=0
separate it as two different equation:
[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]
add 1 and √3 to both sides to first and second equation respectively:
[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]
[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]
[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]
What is the output, or y-value, when you input x = -2 into the function:
y = x5 + 63
Answer:
y = 31
Step-by-step explanation:
Given
y = [tex]x^{5}[/tex] + 32 ← substitute x = - 2
y = [tex](-2)^{5}[/tex] + 63 = - 32 + 63 = 31
What is the answer??
Answer:
the answer would be the second one
Step-by-step explanation:
a congruency symbol consists of a = and a ~
PLZZZZZZ HEEEEEEEEELLLLLPPPPP
(will mark brainliest for correct answers)
Answer:
y=4
Step-by-step explanation:
3(9) +4y= 43
27+4y=43
4y=16
y=4
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth
Answer:
x ≈ 8.1 units
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan72° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25}{x}[/tex] ( multiply both sides by x )
x × tan72° = 25 ( divide both sides by tan72° )
x = [tex]\frac{25}{tan72}[/tex] ≈ 8.1 ( to the nearest tenth )
Which table shows a function with the same rate of change as the equation y = –30x + 200?
a)
x y
12 100
13 70
14 40
b)
x y
20 200
21 400
22 600
c)
x y
39 239
40 240
41 241
d)
x y
17 20
18 23
19 26
Answer:
x y
12 100
13 70
14 40
Step-by-step explanation:
A pyramid with an equilateral-triangle base has a volume of 48sqrt{3} cm3 and a height of 16 cm. Find the length of each side of the equilateral triangle.
You get brainliest, i need answers fast.
Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10
Step-by-step explanation: hope tis helps
Does 5/8 and 12/20 form a proportion
#8 A boogie board that has a regular price of $70 is on sale at a 35% discount. Find the selling price.
Answer:
45.5
Step-by-step explanation:
To find 35% of 70, you have to use the equation...
70 x 35/100
70 x 35 = 2,450
2,450/100 = 24.5
24.5 is 35% of 70, so the item is now $24.5 less than the original price.
70 - 24.5 = 45.5
The selling price is $45.5
please help me!!!!!!!!!
Answer:
120
Step-by-step explanation:
TQR = 180 - (35+25) = 120
TQP= 180-120=60
TNP=TQP =60
MNT= 180-60=120