Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:
[tex]Initial\ Fee = \$57[/tex]
[tex]Additional = \$0.08[/tex] per mile
Plan 2:
[tex]Initial\ Fee = \$50[/tex]
[tex]Additional = \$0.10[/tex] per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:
[tex]y = 57 + 0.08 * x[/tex]
Plan 2:
[tex]y = 50 + 0.10 * x[/tex]
To solve (a), we equate both plans together; i.e.
[tex]y = y[/tex]
[tex]57 + 0.08x = 50 + 0.10x[/tex]
Collect Like Terms
[tex]0.08x - 0.10x= 50 - 57[/tex]
[tex]-0.02x= -2[/tex]
Solve for x
[tex]x = -2/-0.02[/tex]
[tex]x = 100[/tex]
Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.
[tex]y = 57 + 0.08 * x[/tex]
[tex]y = 57 + 0.08 * 100[/tex]
[tex]y = 57 + 8[/tex]
[tex]y = 65[/tex]
Hence, the amount is $65
List the parts that are congruent based on the markings. Be sure to label properly!
Please helppp. I’ll give brainliest!
Answer:
Angles T and W are congruent to each other. Angles U and X are congruent to each other.
Step-by-step explanation:
Pleaseeee help :) and don’t answer unless you really know the answer please
Answer:
b) simplify the constant
c)isolate the variable by dividing the coefficient
Step-by-step explanation:
Math problem.................................................................. Nah fam you ain't gonna answer it correctly also show work :)
Answer:
Ok
Step-by-step explanation:
What is the Zero of f ?
Answer:
(-1, 0)
Step-by-step explanation:
Which pair of angles are alternate exterior angles?
A) 1 and 8
B) 1 and 7
C) 2 and 7
D) 2 and 9
Answer:
Option (C)
Step-by-step explanation:
From the picture attached,
Two lines are the parallel lines and one line is intersecting these lines at two distinct points.
m∠3 = ∠6 [Alternate interior angles]
Since, angles 2 and 7 are the vertically opposite angles,
m∠2 = m∠7 [Alternate exterior angles]
Therefore, angles ∠2 and ∠7 are the pair of alternate exterior angles.
Option (C) is the answer.
IMPORTANT IMPORATANT PLZZZ HELPPP
Answer:
Step-by-step explanation:
Your answer is the first picture (upper left)
How many ways can a lamp be order if it comes in 12 colors and has a choice of 8 shades
Answer:
96
Step-by-step explanation:
This is the answer because:
1) 1 shade has 12 different colors
2) Therefore, we multiply 12 and 8 together
3) 12 x 8 = 96
Hope this helps!
The perimeter of rectangle WXYZ is 34 inches. A scale factor of 1.75 is used to dilate rectangle WXYZ to rectangle ABCD. What is the perimeter of rectangle ABCD?
Answer:
59.5 units
Step-by-step explanation:
A rectangle is a quadrilateral (has four side) in which opposite sides are parallel and the diagonals bisect each other. The perimeter of a rectangle is:
Perimeter = 2(length + breadth) = 2(l + b)
The perimeter of rectangle WXYZ is 34 inches. Therefore:
34 = 2(l + b)
l + b = 17
Rectangle ABCD is formed by dilating rectangle WXYZ by a scale factor of 1.75. Let l' = length of ABCD and b' = breadth of ABCD hence:
Length of ABCD = l' = 1.75l
Breadth of ABCD = b' = 1.75b
Perimeter of ABCD = 2(l' + b') = 2(1.75l + 1.75b) = 2(1.75)(l + b) = 3.5(l + b)
Perimeter of ABCD = 3.5(17) = 59.5 units
Answer:
59.5
Step-by-step explanation:
The difference between each pair of consecutive terms in this arithmetic sequence is 1 1/4 . Find the next term in the sequence. 2 3/4, 4, 5 1/4, 6 1/2 , ...
Answer:
7 3/4
Step-by-step explanation:
6 1/2 +1 1/4=7 3/4
To find any number in a sequence given the distance between each number, just add the distance to the last number in the sequence
You want to sign up with Ryan's Gymboree. The registration fee is $50 and
the monthly fee is $35. Write an equation to represent the cost for Ryan's
Gymboree.
Please hurry
Answer:
35x=50
Step-by-step explanation:
this is the equation. Because its asking each month or monthly fee is $35. So its 35x=50
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
isosceles
Step-by-step explanation:
the two bottom angles are equivalent
the top angle is different
two sides are also of equal length
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in ½ hour?
Answer:
6.75 miles
Step-by-step explanation:
First, you need to find the unit rate by dividing 27/2. This equals 13.5. Then, multiply this by 1/2 to get 6.75 miles.
Question 7 (10 points) Find the slopes of the lines and determine if they are perpendicular or not. y -2 = '/2 (x+4) y - 3 = -2(x + 5) m = m = Perpendicular? (yes or no)
What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)? (5 points) a y = −3x − 2 b y = −3x + 2 c y = 3x + 2 d y = 3x − 2
Answer:
d
Step-by-step explanation:
The sunshine ski shop makes a profit of $40 on each pair of skis sold. Shop expenses for one week are 2,480. What is the minimum number of pairs of skis that must be sold in one week to make profit of at least $2,000
Answer:
Number of units to sell= 112 units
Step-by-step explanation:
Giving the following information:
Unitary contribution margin= $40
Fixed costs= $2,480
Desired profit= $2,000
To calculate the number of units to be sold, we need to use the following formula:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (2,480 + 2,000) / 40
Break-even point in units= 112 units
Answer:
32000
Step-by-step explanation:
PLEASE HELP ASAP!!
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed (C)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.
• Create a model in standard form to represent this linear relationship.
• Identify the x-intercept. Explain what this means in the context of the problem.
• Identify the y-intercept. Explain what this means in the context of the problem.
Identify two combinations that are solutions to this equation. Explain what these combinations mean in the
context of the problem.
Answer:
Step-by-step explanation:
- 25x + 15y = 750
- (30, 0) are coordinates of x-intercept. If there is no pool-cleaning job student has to do 30 lawn-mowing.
- (0, 50) are coordinates of y-intercept. If there is no lawn-mowing job student has to do 50 pool-cleanings.
- ( 15 , 25 ) mean 15 lawn-mowing and 25 pool-cleanings
$25(15) + $15(25) = $750
$375 + $375 = $750
The average distance of the Earth from the Sun is 93 million miles. This distance is not constant due to the elliptical rotation of the Earth around the sun and can vary by approximately 1.6 million miles. Which equation can be used to represent the minimum and maximum distances between the Earth and the Sun? |x - target| = varies
Answer:
[tex]|x-93|=1.6[/tex]
Step-by-step explanation:
Let x be the Maximum and Minimum Sun Earth distance
The average distance between Earth and Sun is 93 million miles.
The distance varies by 1.6 million miles.
The equation to find the maximum and minimum value will be
[tex]|x-93|=1.6[/tex]
When modulus function is used one value of the function will be positive and the other will be negative.
[tex]x-93=1.6\\\Rightarrow x=93+1.6\\\Rightarrow x=94.6[/tex]
[tex]-(x-93)=1.6\\\Rightarrow 93-x=1.6\\\Rightarrow x=93-1.6\\\Rightarrow x=91.4[/tex]
So, the maximum and minimum Earth Sun distance is 94.6 and 91.4 million miles respectively.
(-17, -13).(-16, -8)
What’s the slope through the line
Answer:
5
Step-by-step explanation:
[tex]\frac{-8--13}{-16--17} =\frac{5}{1}= 5[/tex]
In your opinion, which is better. Pancakes, or waffels?
3/5x+19−320x−7 simplified is
Answer: 1597x-60/5
Step-by-step explanation:
Answer:
(60 - 1597 x)/5
Step-by-step explanation:
Simplify the following:
(3 x)/5 - 320 x - 7 + 19
Hint: | Put the fractions in (3 x)/5 - 320 x - 7 + 19 over a common denominator.
Put each term in (3 x)/5 - 320 x - 7 + 19 over the common denominator 5: (3 x)/5 - 320 x - 7 + 19 = (3 x)/5 - (1600 x)/5 - 35/5 + 95/5:
(3 x)/5 - (1600 x)/5 - 35/5 + 95/5
Hint: | Combine (3 x)/5 - (1600 x)/5 - 35/5 + 95/5 into a single fraction.
(3 x)/5 - (1600 x)/5 - 35/5 + 95/5 = (3 x - 1600 x - 35 + 95)/5:
(3 x - 1600 x - 35 + 95)/5
Hint: | Group like terms in 3 x - 1600 x - 35 + 95.
Grouping like terms, 3 x - 1600 x - 35 + 95 = (95 - 35) + (3 x - 1600 x):
((95 - 35) + (3 x - 1600 x))/5
Hint: | Combine like terms in 3 x - 1600 x.
3 x - 1600 x = -1597 x:
(-1597 x + (95 - 35))/5
Hint: | Evaluate 95 - 35.
95 - 35 = 60:
Answer: (60 - 1597 x)/5
Check all like terms to 5x
Ох
0 -30x
5y
O-X
0 40x
5xy
Answer:
0x, 0-30x, 0-x, 0 40x
Step-by-step explanation:
What is the approximate value of x in the diagram below?(Hint: You will need to use one of the trigonometric ratios given in the table.)
Answer:
39.59
Step-by-step explanation:
Just took the quiz
The value of x in the given diagram is 39.59 units.
Correct option is (E).
What is Trigonometry?The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc). Trigonometry can be used to solve problems in surveying, engineering, and navigation where one of a right triangle's acute angles and one side's length are known but the lengths of the other sides need to be computed.
As per the given diagram:
The length of the perpendicular (P) = 27 units
Base angle = 43°
x is the hypotenuse.
To find the value of x we can use the trigonometric ratios given in the question.
sinθ = P/H
Where H is the hypotenuse, P the perpendicular and θ the base angle.
sin(43°) = 27/x
0.682 = 27/x
x = 27/0.682
x = 39.59 units
Hence, the value of x in the given diagram is 39.59 units.
To learn more about Trigonometry, click:
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If z = −6 + 8i, what is the value of |z|?
2sqrt7
10
28
100
Answer:
10
Step-by-step explanation:
correct on edg
Answer:
10
Step-by-step explanation:
edge
The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of
volume. Express this density in ounces per fluid ounce. Round your answer to the
nearest hundredth.
Answer:
1.88
Step-by-step explanation:
In quadrilateral CLAP, angle p is a right angle, LA = CP, and CL = AP. This information can be used to prove that CLAP is a
A- Trapezoid
B- Rhombus
C - Square
D- Rectangle
A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
Answer:
y=-3/4x
Step-by-step explanation:
the form is "y=mx(+/-b). m is slope. b is y-intercept.
(20, 20) (-18 -20)
What’s the slope of
Answer:
20/19
Step-by-step explanation:
[tex]\frac{20--20}{20--18} =\frac{40}{38}= \frac{20}{19}[/tex]
Part A; what is an equation that can be used to solve X?
Part B; what is the value of X? THANK YOU GUYS!!
Answer:
x = 80° im pretty sure
Step-by-step explanation:
Nots sure about the equation but you could do 52° + x° + 48°= 180
Then x = 80°
Over which interval does g have a negative average rate of change? Please answer ASAP!
Answer:
b
Step-by-step explanation:
when x is -2, y is 7
when x is -1, y is 5
we can see y is decreasing and it continues to decrease until x is 3
The average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
A function g(x) is shown in the table.
As we know the average rate of change of a function can be given:
The average rate of change = change in y values/change in x values
For the interval [1, 5]
The average rate of change = (2-0)/(5-1) = 2/4 = 1/2
For the interval [-2, 3]
The average rate of change = (-5-7)/(3+2) = -12/5
For the interval [-5, 0]
The average rate of change = (3-0)/(0+5) = 3/5
For the interval [-4, -1]
The average rate of change = (5-2)/(-1+4) = 3/3 = 1
Thus, the average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.
Learn more about the rate of change here:
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One sanctuary had 180 green sea turtles come ashore to lay eggs last year. This year, the number
of turtles increased by 20%. How many turtles came ashore to lay eggs in the sanctuary this
year?
Answer:
216
Step-by-step explanation:
180 times .2 (20 percent in decimal form) = 36
36+180=216
