the number of miles is 150
Explanation
Step 1
set the equations
Company A
company A offers $205 plus
$0.55 per mile
Let
x, number of miles
then
reimbursement A= 205+0.55x
\(A=205+0.55x\)Step 2
set the equations
Company B
company B offers $220 plus
$0.45 per mile
Let
x, number of miles
then
reimbursement B= 220+0.45x
Step 3
if the 2 reimbursements are equal, then
\(\begin{gathered} A=B \\ \text{replace} \\ 205+0.55x=220+0.45x \\ \end{gathered}\)Step 4
solve for x
\(\begin{gathered} 205+0.55x=220+0.45x \\ 0.55x-0.45x=220-205 \\ 0.1x=15 \\ x=\frac{15}{0.1} \\ x=150 \end{gathered}\)HELP ME !!!!!!!! a car is moving 70 miles per hour. how far does it travel in 16seconds
i’ll give 15points pls help
Answer:
0.311 mile
Step-by-step explanation:
There are 3600 seconds in 1 hour.
Thus, 70 mph, when multiplied by the appropriate conversion factors, comes out to:
70 mi 1 hr
--------- * --------------- = 0.019 mi/sec
1 hr 3600 sec
and so the desired distance is found by multipying (0.019 mi/sec) by 16 sec:
0.311 mile
A car rental company offers two plans for renting a car.
Plan A: 35 dollars per day and 10 cents per mile
Plan B: 55 dollars per day with free unlimited mileage
How many miles would you need to drive in one day for plan B to save you money?
Answer:
Less than 200 miles, A is cheaper
At 200 miles, they are the same
Over 200 miles, B is less expensive
Step-by-step explanation:
Drew played video games this morning for 48 minutes. He plans to play 30 minutes again each day for the rest of the week. Which function can be used to find ythe number of minutes Drew has played video games in all?
Answer:
30
Step-by-step explanation:
In 2015, the average distance from Earth to the moon was about 3.74 x 105 km. The distance from Earth to Mars was about 9.25 x 107 km. How much farther is traveling from Earth to Mars than from Earth to the moon? Write your answer in scientific notation.
Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.
The distance from Earth to the moon is approximately 3.74 x 10^5 km.
The distance from Earth to Mars is approximately 9.25 x 10^7 km.
To find the difference, we subtract the distance to the moon from the distance to Mars:
9.25 x 10^7 km - 3.74 x 10^5 km
To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:
3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)
Now we can perform the subtraction:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km
To subtract, we subtract the coefficients and keep the same exponent:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km
Simplifying the subtraction:
9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km
Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.
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the candle was 1 inches long when new.Each half hour 3/4 inch of the candle burned away.After 4 hours,how long was the candle
Which statement best explains whether the following graph represents a linear or nonlinear function? coordinate plane with a graph that passes through the points negative 3 comma 0 and negative 1 comma 4 and 1 comma 4 and 3 comma 0
The graph represents a nonlinear function because there is a constant rate of change.
The graph represents a nonlinear function because the rate of change is not constant.
The graph represents a linear function because there is a constant rate of change.
The graph represents a linear function because the rate of change is not constant.
The rate of change of a linear function remains constant. The graph represents a nonlinear function because the rate of change is not constant thus option (B) is correct.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
The equation of a straight line is written as y = mx + c
Here,m is the slope and it is constant.
In the given graph slope or rate of change is not constant.
Thus, it will be not linear.
Hence "The graph represents a nonlinear function because the rate of change is not constant".
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Answer: B
Step-by-step explanation: I did the flvs test and a linear graph is a straight line with a constant rate of change which the graph showed clearly doesn't represent.
A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
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5. If a triangular figure is in the shape of an
isosceles right triangle, what is the measure
of each base angle?
Answer: each base angle in an isosceles right triangle measures 45 degrees.
Step-by-step explanation:
In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).
Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.
To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:
x + x + 90 = 180
Simplifying the equation:
2x + 90 = 180
Subtracting 90 from both sides:
2x = 90
Dividing both sides by 2:
x = 45
NEED GEOMETRY HELP ASAP PLEASE (12 POINTS)
Answer:
2 times the square root of 10
Step-by-step explanation:
If you make a right triangle and solve for the hypotenuse (the distance between P1 and P2), you will get 2 times the square root of 10.
Please mark this brainliest.
Answer: \(2\sqrt{10}\)
Step-by-step explanation:
if you draw a triangle starting from P1 and go up to the y value of P2, the change in y is equal to 6.
From that point, go to the right until you hit P2 to get a change in x of 2.
Youre basically missing the hypotenuse of this triangle that you drew. Which is where the distance formula is derived from. 6^2 + 2^2 = s^2
You get √40 = s. It appears that they want you to simplify this square root. What are the two greatest numbers that multiply to equal 40 and atleast one of them has a perfect square root? That's 10 and 4. you can perfectly take the square root of 4, so go ahead and do that. Put that 2 outside of the square root. That gives you \(2\sqrt{10}\)
explain how the model for 3/5 - 1/2 9s is different from the model for 3/5 - 3/10
The model is different because it has different denominator and numerator
I need help urgently on this problem, please and thank you
The inverse of function f is \(f^{-1}(x)=\frac{4}{x}-3\).
The domain of f is (-∞, -3) U (-3, ∞).
The range of f = (-∞, 0) U (0, ∞)
The domain of f⁻¹ = (-∞, 0) U (0, ∞).
The range of f⁻¹ = (-∞, -3) U (-3, ∞).
How to determine an inverse function?In this exercise, you are required to determine the inverse of the function f(x). This ultimately implies that, we would have to swap (interchange) both the independent value (x-value or domain) and dependent value (y-value or range) as follows;
f(x) = y = 4/(3 + x)
x = 4/(3 + y)
3 + y = 4/x
f⁻¹(x) = 4/x - 3
\(f^{-1}(x)=\frac{4}{x}-3\)
By critically observing the graph of this rational expression (function) and its inverse shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain of f = (-∞, -3) U (-3, ∞); {x|x ≠ -3}.
Range of f = (-∞, 0) U (0, ∞); {y|y ≠ 0}.
Domain of f⁻¹(x) = (-∞, 0) U (0, ∞); {y|y ≠ 0}.
Range of f⁻¹(x) = (-∞, -3) U (-3, ∞); {x|x ≠ -3}.
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PLEASE ANSWER - PLEASE ANSWER
The diagram shows triangle ABC. ABC and BED are straight lines. AB = 12.2cm, CD = 5.8cm, BE:ED = 3:1, Angle ADB = 90°, Angle ABD = 38°.
Work out the size of angle DCE, correct to 1 decimal place. SHOW ALL WORKING IN TEXT FORM, NO IMAGES.
The measure of angle DCE in this problem is given as follows:
m < DCE = 22.5º.
How to obtain the measure of angle DCE?The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.
The three trigonometric ratios are given as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:
cos(38º) = DB/12.2
DB = 12.2 x cosine of 38 degrees
DB = 9.6 cm.
BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:
DE = 1/4 x 9.6
DE = 2.4 cm.
Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:
tan(x) = 2.4/5.8
x = arctan(2.4/5.8)
x = 22.5º
m < DCE = 22.5º.
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Answer:
x = 22.5°
Step-by-step explanation:
BD = cos(38)*12.2 = 9.61DE = 9.61*¼ = 2.4∠DCE = tan(2.4/5.8) = 22.5°A rectangular ink pad is 10 centimeters wide and 7 centimeters tall. What is its area?
square centimeters
Answer:
70cm
Step-by-step explanation:
10 times 7 = 70
PLEASE HELP WILL MARK BRAINLIEST
Step-by-step explanation:
This should do it. I hope it is clear.
Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+9y=18
Answer:
y = -4/3x + 2
Step-by-step explanation:
Slope intercept form is y = mx + b.
Rearrange the equation into slope intercept form by isolating y:
12x + 9y = 18
9y = -12x + 18
Divide each side by 9:
y = -4/3x + 2
So, the equation is y = -4/3x + 2
If two chords of a circle are congruent then they are equidistance from the
A. secant.
B. center.
c. tangent.
D. edge of the circle.
Answer:
I think
The choose B. center.
I hope I helped you^_^
I need help with this
i cannot help with all this but 16 would be 33 ft
Kim's car gas tank holds 2 gallons of gas and gets M miles per gallon and she drove D miles. lf gas cost $1.25 per gallon how many gallons had to be replaced?
Answer:
see below
Step-by-step explanation:
D miles / M miles per gallon = gallons used
Combine like terms to create an equivalent expression −3.6−1.9t+1.2+5.1t
Answer:
-2.4+3.2t
Step-by-step explanation:
\(-3.6-1.9t+1.2+5.1t\\\\=(-3.6+1.2)+(-1.9+5.1)t\\\\=-2.4+3.2t\)
Answer:
-2.4+3.2t
Step-by-step explanation:
Khan
On a shelf at a gaming store, there are five Sony Playstations and three Nintendo Wii consoles left. If one gaming system is selected at random, find the probability that the system is a Wii console.
Step-by-step explanation:
a probability is always desired cases over total possible cases.
so, we have actually 8 systems (5 + 3) we can pick from.
therefore, the total possible cases are 8.
the desired case is in this question to pick one of the 3 Wii consoles.
the probability to pick a Wii is therefore
3/8 = 0.375
Answer:
3/8, or 37.5%
Step-by-step explanation:
There are 8 different playing devices there.
There are only 3 Nintendo Wii consoles.
So, the probability is 3/8
HELP WILL MARK BRAINLIEST
Tickets to a musical cost $15 for adults and $6 for students. Mr. James and Mrs. Reagan are taking their classes to the musical. If 8 adults, including the teachers, went along as chaperones and the total cost for the combined classes to attend the musical was $480, how many students attended the musical?
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
10, 11, 35, 39, 40, 42, 42, 45, 49, 49, 51, 51, 52, 53, 53, 54, 56, 59
A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 10 to 19, up to 2 above 30 to 39, up to 6 above 40 to 49, and up to 8 above 50 to 59. There is no shaded bar above 20 to 29.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 49 is the most accurate to use to show that they need more money.
The range of 49 is the most accurate to use to show that they have plenty of money.
The IQR of 13 is the most accurate to use, since the data is skewed.
The most appropriate measure of variability to use in this case is the IQR (Interquartile Range) of 13.
How to determine which measure of variability should the charity use to accurately represent the dataThe reason for this is that the data appears to be skewed towards the higher values, with more donations in the higher range (from 40 to 59 dollars) and fewer in the lower range (from 10 to 39 dollars).
Using the range (which is the difference between the highest and lowest values) would not accurately represent the variability of the data, as it would be heavily influenced by the outliers. On the other hand, the IQR, which is the range of the middle 50% of the data, is a more robust measure of variability that is not influenced by outliers. Therefore, the IQR of 13 is the most appropriate measure of variability to use in this case.
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Can someone Please answer this question fast?
Answer:
It is impossible to convert in square form.
50 points
There are 63 female performers in a dance recital. The ratio of men to women is 4:9. How many men are in the dance recital?
Answer:
28
Step-by-step explanation:
63/9=7
7*4=28
Sandy spent 1/3 of her money on a blouse, 1/4 of the remainder on food and $4 on a pen. If she had $20 left, how much money did she have at first?
A.$48
B.$56
C.$72
D.$144
Help I need help I have 20 missing assignments
Answer:
142°
Step-by-step explanation:
Angles on a straight line add up to 180
180-38 = 142
Answer:
142
Step-by-step explanation:
x+38=180
x=180-38
x=142
Translate the sentence into an inequality. A number y increased by 7 is less than -21.
Answer:
Step-by-step explanation:
y<7<-21
let me know if im right
if not let me know in the comments so i can fix the problem
and help u further
A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $143 and a standard deviation of $8. If the distribution can be considered mound-shaped and symmetric, what percentage of homes will have a monthly utility bill of more than $135? Write your answer exclude the percentage. (Exp. if your answer is 12%, then input as 12)
Answer:
84.13.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
For this question:
\(\mu = 143, \sigma = 8\)
What percentage of homes will have a monthly utility bill of more than $135?
This is 1 subtracted by the pvalue of Z when X = 135. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{135 - 143}{8}\)
\(Z = -1\)
\(Z = -1\) has a pvalue of 0.1587
1 - 0.1587 = 0.8413
84.13% of homes will have a monthly utility bill of more than $135. Excluding the percentage, the answer is 84.13.
find the upper limit for the zeros of the function P(x)=4x^4+8x^3-7x^2-21x-9
a) -3
b) 2
c) 3
Answer:
OPTION B - 2
Step-by-step explanation:
What is the upper limit for the zeros of the function P(x) = 4x^4 + 8x^3 - 7x^2 - 21x - 9. Ans: 2 is an upper limit. Use synthetic division. and the remainder are all positive, 2 is an upper limit.