julie ran a race 2 minutes faster than teri did. if teri ran the race in 28 minutes, what equation would be used to find the number of minutes teri took to run the race
Answers
Th equation that can be used to find the umber of minutes Teri ran is m + 2 = 28 minutes.
How many minutes did it take Teri to run the race?Addition is a mathematical operation that is used to determine the sum of two or more numbers.
The total minutes run by Julie = minutes ran by Teri + 2
28 = m + 2
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Related Questions
Find the truth set of each predicate.
Answers
The truth set for each predicate are:
a) d ∈ { -6, -3, -2, -1, 1, 2, 3, 6}
b) d ∈ { 1, 2, 3, 6}
c) x ∈ { [-2, -1] U [1, 2]}
d) x ∈ {-2, -1, 1, 2}
How to find the truth set of each predicate?
We only need to find the sets of values such that the statements are true.
a)
We want to find vales of d, such that d is an integer, and 6/d is an integer.
Here the possible values of d will be:
d ∈ { -6, -3, -2, -1, 1, 2, 3, 6}
Which are all the factors of 6, so all these integers divide 6.
b) Same as before, but this time the domain is a positive integer, so now the truth set will be:
d ∈ { 1, 2, 3, 6}
c) We want to find real values of x such that:
1 ≤ x² ≤ 4
If we apply the square root to the 3 sides, we get two inequalities:
-√1 ≥ x ≥ -√4
√1 ≤ x ≤ √4
Simplifying:
-1 ≥ x ≥ -2
1 ≤ x ≤ 2
So the truth set is:
x ∈ { [-2, -1] U [1, 2]}
c) Same as before, but now we only have integer solutions, so the truth set is:
x ∈ {-2, -1, 1, 2}
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The volume of a cylinder is given by the formula V = 3.14rh, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x+8) and height (2x+3). Which expression represents the volume of the can?
O (pi)x^3 + 19(pi)x^2 + 112(pi)x + 192(pi)
O 2(pi)x^3 + 35(pi)x^2 + 80(pi)x + 48(pi)
O 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)
O 4(pi)x^3 + 44(pi)x^2 + 105(pi)x + 72(pi)
Answers
The expression which represents the volume of the cane will be 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)
The most fundamental of curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. From a geometric perspective, it may be compared to a prism with a circle as its basis.
Given the volume of a cylinder is given by the formula V = 3.14r^2h, where r is the radius of the cylinder and h is the height and suppose a cylindrical cane has radius (x+8) and height (2x+3)
We have to find expression which represents the volume of the cane
So as per given,
r = x+8
h = 2x + 3
v = πr²h
v = π(x+8)²(2x+3)
v = π(x²+64+16x)(2x+3)
v = π(2x³+128x+32x²+3x²+192+48x)
v = π(2x³+35x²+176x+192)
v = π2x³+π35x²+π176x+π192
Hence the expression which represents the volume of the cane will be 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)
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The price of a Delta airline ticket from Los Angeles to Boston increased to $440. This is a 15% increase. What was the old fare?
Answers
Explanation: you would have to divide the $440 which is your right now price with the 15% increase that was put so then you would find out the actual number of how much was added which comes out to be( $66)!!
Hope this helps!!^^^^
GOD PLEASE HELP!
Which of these is NOT a key factor that contributed to the financial crisis that started in 2007?
bond rating agencies giving CDOs very low ratings, discouraging investors to invest
highly leveraged investment accounts that magnified losses when bond prices decreased
excessive use of subprime mortgages to borrowers with poor credit
banks being incentivized to sell risky mortgages as mortgage-backed securities
Answers
Answer:
i think, bond rating agencies giving CDOs very low ratings, discouraging investors to invest
Step-by-step explanation:
Using side lengths only, could the triangles be similar?
Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q S R. Side Q R is 1, R S is 1.5, S Q is 0.5.
No, StartFraction 0.5 Over 1 EndFraction not-equals StartFraction 1 Over 1.5 EndFraction not-equals StartFraction 1.5 Over 2 EndFraction.
Yes, StartFraction 0.5 Over 1 EndFraction = StartFraction 0.5 Over 1 EndFraction.
Yes, One-half = StartFraction 0.5 Over 1 EndFraction.
Yes, StartFraction 1.5 Over 1 EndFraction = StartFraction 2 Over 1.5 EndFraction.
Answers
The triangles are not similar as the ratios are different.
How to depict the triangle?ΔXYZ
XY = 1.5, XZ = 1, ZY = 2
Δ QSR
QR =1, RS = 1.5, SQ = 0.5
Ratios:
XY/SQ = 1.5/0.5
XZ/QR = 1/1
ZY/RS = 2/1.5
The answer is no because ratios are different
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Which expression
is equivalent to 4(x+2)?
Answers
Answer:
[tex]\huge\boxed{\sf 4x + 8}[/tex]
Step-by-step explanation:
Given expression:= 4(x + 2)
Distribute
= 4x + 8
[tex]\rule[225]{225}{2}[/tex]
= 4(x + 2)
= 4 * x + 4 * 2
=> 4x + 8
If 4x + 8 is an Option, then that is the Correct Answer. Since options are not given, I don’t know which option corresponds to this Answer.
Convert base ten to numeral 3 to base 3?
Answers
Answer:
10 in base 3
Step-by-step explanation:
3 in base 10 = 10 in base 3
Solve -6 < 2x + 4 ≤ 16
Answers
Answer:
Step-by-step explanation:
Solve -6 < 2x + 4 ≤ 16
To solve for x, we need to simplify the statement.
let's get rid of the 4 that is added to 2x.
do that by subtracting 4 on all sides (3 sides).
-6 - 4 < 2x + 4 - 4 ≤ 16-4
We get: -10 < 2x ≤ 12
Now, let's get rid of the 2 that gets multiplied to x.
do that by dividing all sides by 2.
-10 : 2 < 2x : 2 ≤ 12 : 2
We get: -5 < x ≤ 6
X = {-4,-3,-2,-1,0,1,2,3,4,5,6}
Hope I helped!
find the perimeter: (use 3.14 for pi):
Answers
Answer:
10.676 mm
Step-by-step explanation:
The perimeter of a circle (circumference) formula is 2*(3.14)*r. Therefore since r is 1.7, 2*3.14*1.7 = 10.676 mm.
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Examine the following three premises: i. All kids who have a smartphone play mobile legends.
ii. All people who play mobile legends enjoy life.
iii. Some college instructors enjoy life. Now consider each of the following six conclusions. For each conclusion, determine whether the argument formed by the three premises and the conclusion is valid or invalid.
1. Therefore, some college instructors have a smartphone.
2. Therefore, some college instructors play mobile legends.
3. Therefore, some kids who play mobile legends are college instructors. Examine the following three premises :
i . All kids who have a smartphone play mobile legends .
ii . All people who play mobile legends enjoy life .
iii . Some college instructors enjoy life . Now consider each of the following six conclusions . For each conclusion , determine whether the argument formed by the three premises and the conclusion is valid or invalid .
1. Therefore , some college instructors have a smartphone .
2. Therefore , some college instructors play mobile legends .
3. Therefore , some kids who play mobile legends are college instructors .
Answers
Answer:
The increasing number of students who are hooked on playing online mobile games (OMG) is alarming. As such, this study was realized to address the problem. This study assessed the gaming profile towards OMG and its relation to the academic performance of the engineering students of Eastern Visayas State University Tanauan Campus (EVSUTC). Specifically, the study investigated the correlation between student's number of hours spent on playing OMG (at school and home), commonly played OMG (at school and home), reasons for playing OMG and attitudes on playing OMG with academic performance utilizing Eta and Pearson r correlation analyses. A random sample of 134 student respondents were selected through purposive sampling of those who are playing OMG using their mobile phones. Descriptive correlational research design was utilized and a validated survey instrument was employed to gather the needed information. The findings revealed that majority of the students played mobile legends and spent mostly 2 hours playing OMG for a reason of boredom. The overall attitudes of the students on playing OMG were interpreted as Less Favorable (M=2.58, SD=1.13). Out of the independent variables being set in the study, the number of hours spent on playing OMG at home (r=-0.188, p=0.039) and commonly played OMG at school (r=0.203, p=0.045) were found significantly correlated with student's academic performance. Hence, the students' time spent on playing OMG at home and the type of games that students played at school have significant bearing to their academic performance. As such, delimiting student's usage of internet can be made to address the problem.
Which represents the reflection of f(x) = StartRoot x EndRoot over the y-axis?
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, 1, 2.
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.
On a coordinate plane, an absolute value graph starts at (0, 0) and goes to the left through (negative 4, 2).
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 2, 4).
Answers
The reflected function is g(x) = √(-x).
And the correct option is the third one.
Which table represents the reflection?
Remember that for a function f(x), a reflection across the y-axis gives:
g(x) = f(-x).
In this case, the original function was:
f(x) = √x
Then we have:
g(x) = √(-x).
So we can only evaluate this function in values of x such that:
x ≤ 0.
Then the correct option is:
"On a coordinate plane, a graph starts at (0, 0) and goes to the left through (negative 4, 2)."
As when we evalute g(x) in -4, we get:
g(-4) = √(-(-4)) = √4 = 2
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Answer:
C
Step-by-step explanation:
HELLPP
Let n be the middle number of three consecutive even integers. Write an expression for the sum of these integers.
sum of the integers?
Answers
Let ‘n’ be the middle term of three consecutive even integers. Therefore, (n) is also an even number. Hence, the even number preceding it will be (n - 2) and the even number after it will be (n + 2), since we need consecutive even integers.
Hence, we have (n - 2), (n), (n + 2).
Sum of the Integers :-
= (n - 2) + (n) + (n + 2)
= n - 2 + n + n + 2
= n + n + n + 2 - 2
= n + n + n
=> 3n
Any help will do! Thank you!
Answers
Let's take this problem step-by-step:
First let's set up the equation for the cost for one week of renting the car
agency charges $230 per week[tex]charge = 230[/tex]
agency charges $0.25 per mile (lets set the number of miles as 'x')[tex]charge = 230 + 0.25x[/tex]
The total cost was 415, therefore:
[tex]415 =230 + 0.25x\\185 = 0.25x\\x = 740[/tex]
Therefore, you traveled 740 miles
Answer: 740 miles
Hope that helps!
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The percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
(A) Predict when the percentage will be 47%
(B) Predict the percentage in 2005.
Answers
Using a linear function, we have that:
The percentage will be 47% during the year of 2001.The predicted percentage in 2005 is of 44.97%.Given that, the percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
What is a linear function?Linear functions are those whose graph is a straight line. The standard form of the linear function is f(x)=y= mx + b. A linear function has one independent variable and one dependent variable.
Where, m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0 and can also be interpreted as the initial value of the function.
The percentage in 1980 is considered as the initial amount, so b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by: m = (50.5 - 58.8)/15 = 0.5533.
Thus, the percentage in t years after 1980 is P(t) = 58.8 - 0.5533t.
Now, t + 1980, for which P(t) = 47.
So, P(t) = 58.8 - 0.5533t
47 = 58.8 - 0.5533t.
0.5533t = 11.8.
t = 11.8/0.5533
t = 21.3.
1980 + 21 = 2001, so the percentage will be 47% during the year 2001.
Now, 2005 is 25 years after 1980, so the percentage is P(25), given as follows: P(25) = 58.8 - 0.5533x25 = 44.97%.
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Which is true regarding the graphed function f(x)?
• f(O) = 3
• f(5) = - 1
• f(3) = 2
O f(2) = -2
Answers
Answer:
f(5) = -1
Step-by-step explanation:
The points on the graph are (0,4), (1,3),(2,2), (3,1), (4,0), (5,-1).
The answers are in the form:
f(x) = y
That is, the number in the parenthesis is the x and the number by itself on the right is the y. The only one that is a point on the line is f(5) = -1, which is the point (5,-1)
9x+9y=9. Solve for Y
Answers
Answer:
y = 1 - x
Step-by-step explanation:
9x + 9y = 9 ( divide through by 9 )
x + y = 1 ( subtract x from both sides )
y = 1 - x
Answer:
y = 1 - x
Step-by-step explanation:
9x + 9y = 9
First, take 9x to the right side.
9y = 9 - 9x
9y = 9 ( 1 - x )
Divide both sides by 9.
y = 1 - x
The radius of a circle is 0.00012 * 10 ^ 5 * f * t . What is the area of the circle? Use the formula A = pi * r ^ 2
Answers
Answer: [tex]144\pi[/tex] square feet
Step-by-step explanation:
[tex]A=\pi(0.00012 \times 10^{5})^{2}=\boxed{144\pi \text{ ft}^{2}}[/tex]
Suppose a jar contains 12 red marbles and 12 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red
Answers
The probability that both are red marbles is 0.2391
How to determine the probability?The given parameters are:
Red =12
Blue = 12
Total = 24
The probability of selecting the first red marble :
P(Red) = 12/24
Now, there are 11 red marbles and 23 marbles in all
The probability of selecting the second red marble :
P(Red) = 11/23
The required probability is:
P = 12/24 * 11/23
Evaluate
P = 0.2391
Hence, the probability that both are red marbles is 0.2391
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Given the two similar triangles below, which proportion is not true?
Answers
The proportion of sides of the triangle which is not true are 13.5/21 = 9/14, 9/13.5 = 6/21 and 14/6 = 21/9
ProportionThe three sides of each of the rectangles should be proportional to each other
Triangle A : Triangle B
9 cm : 13.5 cm
= 9/13.5
14 cm : 21 cm
= 14 cm / 21 cm
6 cm : 9 cm
= 6 cm / 9 cm
Therefore, the proportion of sides of the triangle which is not true are 13.5/21 = 9/14, 9/13.5 = 6/21 and 14/6 = 21/9
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Is the point (11, 15) on the circle defined by (x-9)² + (y-15)² = 4?
O Yes
O No
Answers
The center would always be at the perpendicular bisector of two chord or one chord and a tangent.
That's why first one is wrong and second one right.
The table below shows the average SAT math scores from 1993-2002.
Year
SAT math scores
1993
503
1994
504
1995
506
1996
508
1997
511
1998
512
1999
511
2000
514
Using the data from the table determine if there is a linear trend between the year and the average SAT math scores and determine if there is an exact linear fit of the data. Describe the linear trend if there is one.
a.
Positive linear trend, an exact linear fit.
b.
Positive linear trend, not an exact linear fit.
c.
Negative linear trend, not an exact linear fit.
d.
Negative linear trend, an exact linear fit.
Please select the best answer from the choices provided
A
B
C
D
Mark this and return
Answers
According to the information in the table, it can be inferred that the trend of the results is positive but does not have an exact linear fit (option B).
How to calculate the average of the results?To calculate the average of the results we must add all the results and divide the result by the number of years as shown below.
503 + 504 + 506 + 508 + 511 + 512 + 511 + 514 = 40694069 ÷ 8 = 508.6Additionally, to identify if the trend is positive or negative, we must see if the results increase or decrease year after year. From the above, it is possible to infer that it is a positive trend.
On the other hand, it can be stated that it does not have an exact linear fit because the increase is not constant each year.
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Express the division form of a+bi (1+3i) divided by (2+i)
Answers
Select the correct answer from each drop-down menu. y 11 10 Weight (kilograms) 9 00 7 CO 5 3 2 1 5 6 7 Age (months) The scatter plot shows the weight of a child each month. 1 rights reserved 2 3 4 The birth weight of the child is V X 8 9 10 11 kilograms. The child gains an average of per month. Select the correct answer from each drop - down menu . y 11 10 Weight ( kilograms ) 9 00 7 CO 5 3 2 1 5 6 7 Age ( months ) The scatter plot shows the weight of a child each month . 1 rights reserved 2 3 4 The birth weight of the child is (blank) kilograms . The child gains an average of(blank) per month .
Answers
Answer:
its wrong answer and question
If the sum of a number and eight is doubled the result is five less than the number find the number
Answers
Answer: -21
Step-by-step explanation:
Let the number be x.
Then, this means 2(x+8)+5=x.
2x+16+5=x [distributive property]2x+21=x [combine like terms]x+21=0 [subtract x from both sides]x= - 21 [subtract 21 from both sides]What is the reciprocal of (10xyz)/(40xyz)
Answers
Answer:
4
Step-by-step explanation:
10xyz/40xyz
the xyz would cancel out
leaving 10/40.
10/40 would then simplify to 1/4 (divide by 10)
1/4
The reciprocal of 1/4 is 4
To check:
1/4 * 4 = 1
PLEASE HELP ASAP! Consider the scatter plot. Complete the equation that models the curve of best fit for this data.
curve of best fit: f(x)
Answers
The equation that models the curve of best fit for this data will be y = 1.4646·(1.818)ˣ.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
Consider the scatter plot.
Then the equation that models the curve of best fit for this data will be
At (1.2, 3), then we have
[tex]\rm 3 =ab^{1.2}[/tex] ..........1
At (4, 16), then we have
16 = ab⁴ ..........2
By solving the equations 1 and 2, we have
a = 1.4646 and b = 1.818
Then the equation will be
y = 1.4646·(1.818)ˣ
Then the graph is drawn.
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Which statement describes the relationship between x and y?
As x increases, y decreases.
As x increases, y increases.
As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answers
Were you not given a diagram?
How many full cases and additional items are needed to fulfill the order 80 6
Answers
The number of cases is 13 and the additional units are 2 if the 80 units needed 6 units per case.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is:
80 units needed 6 units per case. What are the number of cases and the number of additional units?
Total number of units = 80 units
6 units per case
Number of case = 80/6 = 13.33 ≈ 13
Total units if the number of cases = 13
= 13×6
= 78
Additional units = 80 - 78 = 2 units
Thus, the number of cases is 13 and the additional units are 2 if the 80 units needed 6 units per case.
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Two fire trucks on the ground on either side of a burning building or 1.3 miles apart. they each measure the angle of elevation to the fire which are 58° and 52°. How far is each truck from the fire? Please help ASAP thank you so much!
Answers
The distance of the first truck from the fire is 0.578 mile and the distance of the second truck from fire is 0.722 mile.
Distance of each truck from the fireUsing sine rule, we find the length of AB and BC as shown in the image.
a/sin A = b/sin B = c/sin C
Angle C = 180 - (58 + 52) = 70⁰
1.3/(sin 70) = b/(sin 52)
b = (1.3sin 52) / (sin 70)
b = 1.09 mile
c = (1.3sin 58) / (sin 70)
c = 1.1732 miles
Bisect angle C, and use sine rule again to find the lengths of bisected line AB.
1.09/(sin 90) = x/[sin (90 - 58)]
1.09/(sin 90) = x/(sin 32)
x = (1.09 sin 32)/(sin 90)
x = 0.578 mile
Truck B's position from the fire = 1.3 miles - 0.578 mile = 0.722 mile
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Write the domain and range using interval notation
Answers
The domain of the graph is [-3, 2) and the range is (-4, 5]
How to determine the domain and the range?From the given graph, we have the following highlights:
Minimum x value = -3 (closed circle)Maximum x value = 2 (open circle)Minimum y value = -4 (open circle)Maximum y value = 5 (closed circle)Open circles are represented with () while closed circles are represented with []
Hence, the domain of the graph is [-3, 2) and the range is (-4, 5]
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