Due to an accident on the highway, the Stanford family is delayed driving to their weekend destination. Their average speed is 30 miles per hour for the first portion of their trip as they come upon the accident site. After passing the accident site, their average speed increases to 50 miles per hour. The Stanford family can express their average speed for the entire trip as 30x 50(x 2)2x 2. What is the meaning of the parts of this rational expression in the context of the situation? Select from the drop-down menus to correctly complete the statements.
Answer:
1.total distance traveled
2.total time traveling
Step-by-step explanation:
I took the test :)
What fraction of an hour is 22 minutes?
Give your answer in its simplest form.
put in fraction not decimal please
Answer:
11/30
Step-by-step explanation:
An hour is 60 minutes
22/60
Divide the top and bottom by 2
11/30
The simplest fraction is 11/30
pat bought 5.5 pounds of grapes for a party he spent $6.60. how much did he pay per pound
2.1 is what percent of 37?
O 1493.#%
O 1761.9%
O 5.7%
0 0.06%
Jennifer's bank account is modeled by the following equation where equals the number of months and y equals the balance: y = 24x + 50
Answer:
50
Step-by-step explanation:
Jennifer's bank account started with 50 because that's the y-intercept in the equation (y= mx+b). b is always what you start with.
Answer:
Part A: 50 dollars
Part B: y=28x+60
Part C: Jennifer is wrong
Part D: William will a greater balance
Step-by-step explanation:
A: Jennifer's equation is represented in slope-intercept form, or y=mx+b, where m is how much she earns per month, and b is her initial value, therefore, her initial value is 50.
B: Using the table, we can use y=mx+b as a formula. We first find the slope by doing 88-60=28. Then we see that at month 0, his initial value is 60, leaving us with y=28x+60.
C: Using the slopes for both equations, we see the William's balance is growing by 28, 3 more than Jennifer's 25.
D: We can plug in 12 for x for both equations. 25(12) + 50 = 338 28(12) + 60 = 396
12x-3y=-3 6x+y=1
Solving systems of equations
function or not a function
Answer:
Not a function.Step-by-step explanation:
Functions have graphs or slopes.
This is not a function.
This is not on a graph or on a slope.
Your answer is not a function.
8. A circular lid has an area of 50.24 square
centimeters. What is the radius of the lid?
Use 3.14 for T.
A.4 cm
B. 8 cm
C 12 cm
D. 16 cm
Answer:
4 centimeters
Step-by-step explanation:
The area of a circle is πr². r is the radius, and we are using 3.14 for π.
50.24=3.14r²
16=r²
r=4
Find the values of m so that the point (2,3) lies in the curve x^2+y^2+mx+2y-30=0.
Answer:
= your nose and eye and mouth
Practice problems conditional probability: what is the probability of obtaining five heads in a row when flipping a cow.
An item on sale costs 20% of the original price. The original price was $16. Use the ALEKS calculator to find the sale price.
Answer:
$3.20
Step-by-step explanation:
16*0.20=3.20
sry but i dont know what an ALEKS calculator is
......................,.,................
a=6, b=2
Step-by-step explanation:
Use simplification into substitution
[tex]\frac{a}{3} =1+\frac{2}{b}[/tex]
[tex]a=3(1+\frac{2}{b})[/tex]
[tex]a=3+\frac{6}{b}[/tex]
We can now plug this value of a into the second equation.
[tex]\frac{3+\frac{6}{b} }{4} +\frac{3}{b} =3[/tex]
Get rid of fractions in the numerators and/or denominators
[tex]\frac{3b+6}{4b} +\frac{3}{b} =3[/tex]
Then we can match the denominators
[tex]\frac{3b+6}{4b} +\frac{12}{4b} =3[/tex]
Combine
[tex]\frac{3b+18}{4b} =3[/tex]
Divide both sides by three
[tex]\frac{b+6}{4b} =1[/tex]
Get rid of fractions
[tex]b+6=4b[/tex]
Single out b
[tex]6=3b[/tex]
[tex]b=2[/tex]
Now we can plug it into the equation
[tex]\frac{a}{3} -\frac{2}{2} =1[/tex]
[tex]\frac{a}{3} =2[/tex]
[tex]a=6[/tex]
Now we can check it;
[tex]\frac{6}{3} -\frac{2}{2} =1[/tex]
↑CORRECT
[tex]\frac{6}{4} +\frac{3}{2} =3[/tex]
↑CORRECT
Can anyone help me???
PLZ….
the average of a list of 6 numbers is 20. if we remove one of the numbers the average of the remaining numbers is 15. what is the number that was removed
Answer:
Solution,
Average of 6 numbers=20
Total of 6 numbers=6 x 20=120
When one number is removed,
the average of 5 numbers=15
the total of 5 numbers=15x5=75
Now,
the number that was removed=120-75=45
Hence, 45 was the number.
Step-by-step explanation:
A large box contains three small boxes and a pearl. The pearl is not in either of the
small boxes. Each small box contains 5 pearls. How many pearls are in the large box?
Answer:
16 pearls
Step-by-step explanation:
there are three boxes and each has five pearls so: 5 * 3 = 15 pearls
one pearl is outside of the small boxes but inside the huge box.
so total: 15 + 1 = 16 pearlsThe number of pearls in the large box is 16.
How many pearls are in the large box?
Multiplication is the process of determining the product of a number through applying a set of mathematical rules.
The total number of pearls in the large box = total number of pearls in the small boxes + 1
(3 x 5) + 1 = 16.
To learn more about multiplication, please check: https://brainly.com/question/3385014
Which statements are true about the ordered pair (10, 5) and the system of equations?
{2x−5y=−5x+2y=11
Select each correct answer.
A.
The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true.
B. The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true.
C. The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.
D. The ordered pair (10, 5) is a solution to the system because it makes both equations true.
Answer:
The answer is C
Step-by-step explanation:
The entire equation is a system ( meaning everything equals each other) when you plug in the ordered pair (10,5) you dont get the same number meaning that nothing adds up or equals each other
PLZ HELP: is the inverse of the function a function? Yes or No
Answer:
yes
Step-by-step explanation:
It passes the horizontal line test
Given: Sine (A) = StartFraction 5 Over 13 EndFraction, StartFraction pi Over 2 EndFraction < A < Pi and Tangent (B) = negative StartRoot 13 EndRoot, StartFraction pi over 2 EndFraction < B < Pi What is tan(A – B)?.
The value of Tan(A - B) is -0.1295.
TrigonometryTrigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Right angle triangleIt is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Given
Sin A = 5 ÷ 13 and Tan B = -√3.
To findThe value of tan(A - B).
How to find the value of tan(A - B)?The angle A will be,
[tex]\begin{aligned} \rm sin A &= \dfrac{5}{13}\\\\\rm A &= \rm sin^{-1} \dfrac{5}{13}\\\\\rm A &= 22.62^o\\\\\end{aligned}\\But\ for\ the\ \dfrac{\pi}{2} < A < \pi\\\\A = 22.62^o + 90^o\\\\A = 112.62^o[/tex]
Similarly for angle B,
[tex]\begin{aligned} \rm tan B &= -\sqrt{3} \\\\\rm B &= \rm tan^{-1} -\sqrt{3} \\\\\rm B &= -60^o\\\\\end{aligned}\\\rm But\ for\ the\ \dfrac{\pi}{2} < B < \pi\\\\B = -60^o + 180^o\\\\B = 120^o[/tex]
Then tan (A - B) will be
Tan(A - B) = tan(112.62 - 120)
Tan(A - B) = tan(-7.38)
Tan(A - B) = -0.1295
Thus, the value of Tan(A - B) is -0.1295.
More about the trigonometry link is given below.
https://brainly.com/question/13710437
An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece. What is the length of the shorter piece of wire? Enter your answer as a number only (no letters or symbols). Do not include units.
The length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.
Given to us
An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece.
What are the two equal parts of the wire?We know that the length of the wire is 49 m, therefore, to cut the wire in two equal parts divide the total length of the wire by two,
[tex]\dfrac{49}{2} = 24.5[/tex]
Thus, the length of each side will be 24.5.
What is the length of the shorter piece of wire?Since we need to cut the wire such that one side of the wire is 5 less than the other, we already know the length of the equal sides deduct (5/2) from both sides to create a difference between the length of the wire.
Length of the shorter wire = 24.5 -2.5 = 22.5
Length of the longer wire = 22.5 + 5 = 27.5
Hence, the length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.
Learn more about Lengths:
https://brainly.com/question/8552546
is 8/12 equivalent to 8/20
Answer:
No, it does not
Step-by-step explanation:
8/12 equals 0.66
think about it like 8 cubes filled in an ice-cubes maker out of 12 cubes in total. The maker is about to be filled.
8/20 equals 0.4
think about this like 8 cubes filled in an ice-cubes maker out of 20! cubes in total. That's a small number compared to the total number of cubes that could have been filled.
6x+5y=15 -7x-5y=-10These are the same x and y stuff
2. Which ratio is equivalent to 4:9?
Answer:
Below!
Step-by-step explanation:
To find out which ratio is equal to 4:9, multiply anything to both the numerator and the denominator. Remember, the multiplication must be equal to both the numerator and the denominator must be the same. Please check below to understand this problem better.
=> 4:9 = 4/9 = 4 x 2/9 x 2 = 8/18 = 8:18=> 4:9 = 4/9 = 4 x 3/9 x 3 = 12/27 = 12:27These are all examples of ratios equivalent to 4:9
Hoped this helped!
What compares the number of events that occur to the total number of possible events?.
3. When you multiply a number by a fraction, will the product be larger or smaller than the largest factor?
Answer: The identity property of multiplication tells us that a number x 1 has a product equal to the number (itself).
Step-by-step explanation:
For example, 4 x 1 = 4. So when we multiply by a fraction that is less than 1, our product has to be less than the number we are multiplying the fraction by.
The result of multiplying a number by a fraction often becomes either smaller, larger or equal to the largest factor.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
When you multiply a number by a fraction, the product will generally be smaller than the largest factor. This is because a fraction represents a part of a whole, and is therefore less than 1. For example, if you multiply the number 10 by the fraction 1/2, the product will be 5, which is smaller than 10.
However, it is possible for the product to be larger than the largest factor if the fraction is greater than 1. For example, if you multiply the number 10 by the fraction 3/2, the product will be 15, which is larger than 10.
It is also possible for the product to be equal to the largest factor if the fraction is equal to 1. For example, if you multiply the number 10 by the fraction 1/1, the product will be 10, which is equal to 10.
Thus, often, when a fraction is multiplied by a number, the result is either lower, greater, or equal to the greatest factor.
Learn more about the fraction here:
brainly.com/question/10354322
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Tom invests 2 000dhs in a savings account where he earns 0.5% interest per year compounded
monthly. How much will Tom have after 3 years.
analyze problem
complex interest
2000+2000*0.005=2010
2010+2010*0.005=2020.05
2020.05+2020.05*0.005=2030.15025
in the equation 9h=81-9, what is the next step in the equation solving sequence
Answer:
h=8Step-by-step explanation:
we know
9h=81-9
let's do 81-9 first
81-9= 72
so we know
9h=72
to get h on its own, divide everything by 9
h=8
A ball has a diameter of 9 in. It consists of 2 parts. The inside is a spherical core with a diameter of 6 in. Surrounding the core is a layer of polyurethane. What is the volume of the polyurethane? Use 3. 14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer as a decimal in the box. In³.
Answer:
i honestly dont know
Step-by-step explanation:
im trying to do my test and have been stuck on this one. Sorry for the disappointment.
Answer:
268.47
Step-by-step explanation: I took the quiz
Mary used the equation 292 = 5h + 192 to determine her
salary at the restaurant last week. Which situation does this
equation best represent?
Answer:
Mary worked 10 hours last week and received $192 in tips for a total income of $292.
Step-by-step explanation:
I don't see any answer options. The best I can assume is that h stands for hours. If so, Mary makes $5/hour. The 1932 doesn't have units, but I'll assume it is $. The $192, I'll guess, is her average weekly tip income. The difference between 292 and 192 is $100, so that would mean Mary worked 20 hours last week. Her tip income is almost double her salary.
What is the square root of 21.6 rounded to the nearest hundredth
Answer:
4.6
Step-by-step explanation:
1. [tex]\sqrt{21.6}=4.647580015[/tex]
To round to the nearest hundredth. If the number higher than 5 the next number goes up by one. If less than five the number stays the same.
Fred works for $11.25 per hour. His regular hours are 40 hours per week and he gets time and a half for overtime. One week he works 48.5 hours. He wants to calculate his pay. Complete the table. Rate Regular Hours Overtime Hours Total N/A $ $11.25 $ N/A $ Gross $ Unlimited Attempts Remain
Step-by-step explanation:
The first row
Rate per hour is $11.25Number of regular hours is 40Payment for regular hours:
40*$11.25 = $450The second row
Rate per overtime hour:
$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)Number of overtime hours:
48.5 - 40 = 8.5Payment for overtime hours:
$16.88*8.5 = $143.48The third row
Gross payment is the sum of regular and overtime payments:
$450 + $143.48 = $593.48