________________________________________________________
If Kelly's mom is 35, it will take her 15 more years to become 50. Make an equation to represent this.[tex]35 + 15 = 50[/tex]
Next, you want to add 15 to Kelly's age because for each year her mom ages, she ages for that same number of years.[tex]13 + 15 = 28[/tex]
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For the second problem, we just do an inverse of the problem. If Kelly is 13 and her mom is 35, how long will it take Kelly to become 50? How old will her mom be?It would take Kelly 37 more years to become 50, because 37 + 13 = 50
Now that we have found the number of years remaining, add her mother's age by the remaining years left, r
[tex]35 + r(37) = 72[/tex]
Linear Function K passes through points (-3,7) and (3,3). What is the rate of change of function K?
A) -3/2
B) -2/3
C) 3/2
D) 2/3
- 2/3 is the correct answer
Step-by-step explanation:
The rate of change of function K is -2/3. Therefore, option B is the correct answer.
What is rate of change a function?The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.
Given that, linear function K passes through points (-3,7) and (3,3).
Now, the rate of change
= (3-7)/(3+3)
= -4/6
= -2/3
Therefore, option B is the correct answer.
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Solve the equation 25z2 − 140 = 29 by using square roots.
A. z = ±13/5
B. z = ±7/5
C. z = ±29/7
D. no real solutions
Answer:
Option A, [tex]z =[/tex] ± [tex]13/5[/tex]
Step-by-step explanation:
Step 1: Add 140 both sides
[tex]25z^2 - 140 = 29[/tex]
[tex]25z^2 - 140 + 140 = 29 + 140[/tex]
[tex]25z^2 = 169[/tex]
Step 2: Divide both sides by 25
[tex]\frac{25z^2}{25} = \frac{169}{25}[/tex]
[tex]z^2 = 6.76[/tex]
Step 3: Square root both sides
[tex]\sqrt{z^2} = \sqrt{6.76}[/tex]
[tex]z =[/tex] ± [tex]2.6[/tex]
[tex]z =[/tex] ± [tex]13/5[/tex]
Answer: Option A, [tex]z =[/tex] ± [tex]13/5[/tex]
How do you find the area of triangle with a 99-degree angle and 11 Aas the adjacent sides?
Answer:
Area = 59.8 sq units
Step-by-step explanation:
There is a very convenient area formula for the area of a triangle given two sides and the included angle.
A = 1/2•a•b•sin C°
A = 1/2(11)(11)sin 99°
A = 59.8 sq units
help will give thanks to the first to answer
Answer:
69
Step-by-step explanation:
Just plug in
10(9)-7(3) = 90-21 = 69
Evaluate the expression 43 ÷ (7 − 3) × 2.
Answer: 21.5
Step-by-step explanation:
The order of operations are:
1) Parenthesis and Brackets
2) Exponents
3) Multiplication and Division (from left to right)
4) Addition and Subtraction (from left to right)
Parenthesis are first so let's solve them first
43 ÷ (7 − 3) × 2
43 ÷ (4) × 2
Now we only have division and multiplication
So we must do this from left to right, starting by 43 ÷ 4
43 ÷ 4 × 2
10.75× 2
Finally, multiply
10.75× 2
21.5
Answer:
[tex]43 \div (7 - 3) \times 2[/tex]
using BODMAS ~
[tex]43 \div (4) \times 2 \\ \\ \dashrightarrow \: \frac{43}{\cancel{4}} \times \cancel{2} \\ \\ \dashrightarrow \: \frac{43}{2} \\ \\ \dashrightarrow \: 21.5[/tex]
hope helpful ~
Suppose a one year subscription to a magazine cost $12.99 and a three-year subscription cost $25.98 the cost and length of the subscription are related write an equation to a model the cost of a subscription for any period of time
Answer:
y = $38.97
y = 6.495(5) + 6.495
Step-by-step explanation:
So for this problem, since it states the cost and length of the subscription are related, you can use the two subscription costs as data (or coordinate) points.
1 year = 12.99, 3 year = 25.98; so (1,12.99), (3, 25.98) use these points to calculate the average rate of change (or the slope (m)).
(y - y1)/(x - x1) = m so, (25.98-12.99)/(3 - 1) = 6.495, this is the slope, m
y = 6.495(x) + b now just pick one of the points and put in the x and y values to solve for b
12.99 = 6.495(1) + b solve for b and you discover it also = 6.495 = b
so y = 6.495(x) + 6.495 is the equation of the line, to answer their question, just pop in x=5 for the 5 years subscription cost
y = 6.495(5) + 6.495
y = $38.97
In a lottery game, each ticket cost $12. You have a 10/1000 probability of winning $300, and 50/1000 probability of winning $100. What is your expected value if you buy 1 ticket?
Answer:
80% chance of winning$100
Step-by-step explanation:
50/1000 , 10/1000
=> 0.05, 0.01
0.05 - 0.01
0.04 ÷ 0.05
0.8 × 100
=> 80%
What was Linda's slowest time in the 50-meter freestyle?
seconds
Submit
Cal went to his friend’s house at 11:00 a.m. He stayed there for 3 1/2 hours. What time did he go back home? SHOW WORK
Answer:
2:30 PM
Step-by-step explanation:
3 1/2 hours after 11 am is 2:30 pm.
Answer:
coplete the table by filling in the estimated and actual elapsed time.
If the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 − 75 Temperature, what would be the predicted attendance if Temperature is 90 degrees?
The predicted attendance if Temperature is 90 degrees will be 9750.
How to calculate the equation?From the information given, the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 − 75 Temperature.
The predicted attendance will be:
= 16500 - 75(90)
= 16500 - 6750
= 9750
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- How many "tenths" make one
Answer:
10 tenths make a one
Step-by-step explanation:
because it works like dimes making a dollar you need 10 of them to make a dollar, and they are in the tenths position.
Answer:
ten tenths
Step-by-step explanation:
10/10 = 1
Hope this helps
Ryan works at the hotel 5 days a week. He spends $2.50 each
day on a roundtrip bus ticket to get to work. How much
money does Ryan earn each week after paying this expense?
Answer:
His weekly expense is $12.50. You did not mention how much he earned but you would subtract the 12.50 to find out how much he earned after his expense.
Step-by-step explanation:
00000 Which rectangle has the greatest area? Rectangle a that is 3.25 inches wide and 6.1 inches long or rectangle b that is 4.06 inches wide and 5.009 inches long.
PLEASE HELP ITS DUE TODAY I LOVE YOU GUYS
Answer:
Rectangle B
Step-by-step explanation:
Rectangle A:
L × B
3.25 × 6.1
19.825 inches
Rectangle B:
L × B
4.06 × 5.009
20.33654
What are the fractions 7 1/2 multiplied by 1/16
If you're failing your classes but get a passing percentage on state testing will you be able to graduate Highschool? HhhHh, not me stressing- (┬┬﹏┬┬)
What is the area of the figure 5 cm2cm 20cm 10cm
Answer:
2,000
Step-by-step explanation:
Hope this helps you. I'd the answer is incorrect please let me know.
A phone company determined that an increase in income does not indicate a change in a customer's phone usage. What does the analysis show?There is no correlation between income and phone usage.
There is a correlation between income and phone usage. There may or may not be causation. Further studies would have to be done to determine this.
There is a correlation between income and phone usage. There is probably also causation. This is because there is likely an increase in phone usage with an increase in income.
The analysis shows there is a correlation between income and phone usage. There may or may not be causation. Further studies would have to be done to determine this.
What is correlation and causation?Correlation is a statistical measure used to measure the relationship that exists between two variables. It is used to measure the direction of change in one variable when there is a change in another variable.
Causation is when a change in one variable leads to another change in the other variable.
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What is the area of this rectangle? and brainleist
16 m
36 m
32 sq m
39 sq m
Answer:
39 sq m
Step-by-step explanation:
Since it asking for area:
Formula for area: A = Lw {Length x Width}
Thus,
A =wl = 3·13=39
We can also do
13 + 13 + 13 = 39
Hence, Answer is 39 sq m
~lenvy~
NEED HELP ASAP
The graph describes the number of students in each classroom during the first block at a high school.
Please no links.
What percentage of the class have at least 21 students first block.
Answer: 70%
Step-by-step explanation:
Not sure if this is correct but according to the red numbers there is a total of 20 classes. Looking at how many of these classes have 21 or more students we can see that the last three bars contain classes of 21 or more students. The last three bars contain a total of 14 of the 20 classes.
14/20 = 0.7 = 70%
meaning 70% of the classes contain at least 21 students.
NO LINKS!! Part 2: Please help me with this problem
Answer:
a) 160 meters short
b) d = 200x +80y
c) (run, walk) = (2, 15), (4, 10), (6, 5)
d) see attached
Step-by-step explanation:
You're being asked to write an equation describing the gym class requirement, and to find several values of the variables that satisfy the equation.
It is convenient to write the equation first (part b).
__
b)At 200 meters per minute, in x minutes, Eric will run 200x meters. At 80 meters per minute, Eric will walk 80y meters in y minutes. His total distance covered will be ...
d = 200x +80y
__
a)In the given times, Eric's distance covered is ...
d = 200(4) +80(8) = 800 +640 = 1440 . . . meters
Eric is 160 meters short of the 1600-meter goal.
__
c)It is convenient to simplify the equation to one that lets us find one value in terms of the other.
200x +80y = 1600
5x +2y = 40 . . . . . . . . divide by 40
This will have integer solutions for even values of x in the range 0 to 8.
y = (40 -5x)/2
For x={2, 4, 6}, we have ...
y = (40 -5{2, 4, 6})/2 = {30, 20, 10}/2 = {15, 10, 5}
Eric can cover 1600 meters in (run, walk) times of ...
(run, walk) = (2, 15), (4, 10), (6, 5)
__
d)The graph is attached. We'll let you read as many values from it as you may wish.
I have attached a picture of the question.
Help me solve this I’ve been stuck on this question.
Thank you
Answer:
The answer is 94.25 sq.in
Step-by-step explanation:
Given rectangle- 7 1/4 in by 13
to fin area for one of the triangles
For triangle, base = 13 in, height = 7 1/4 in, = 29/4 in
Area- 1/3 x base x height = 1/2 x 13 x 29/4 in. 2
= 37/4 in. 2
= 94.25 sq. in
The height of a projectile that is thrown upward from ground level with an initial velocity of 98 meters per second can be modeled by the equation h = −4.9t2 + 98t, where h is the height in meters and t is the elapsed time in seconds. Find the time it takes for the projectile to hit the ground
Answer:
20 seconds
Step-by-step explanation:
The time taken by projectile to hit the ground is 20 second.
What is Quadratic equation?The polynomial equations of degree 2 for a single variable of type f(x) = ax2 + bx + c = 0, where a, b, c, ∈ R, and a ≠ zero, are known as quadratic equations. The leading coefficient is referred to as "a," and the absolute term of the quadratic equation is referred to as "c." The roots of the quadratic equation (α, β). are the values of x that satisfy the equation.
Given initial velocity of a projectile = 98 m/s
equation h = -4.9t² + 98t
where t = time and h = height of projectile,
time taken by projectile to hit the ground,
where h = 0
equation will be
-4.9t² + 98t = 0
4.9t² = 98t
4.9t = 98
t = 98/4.9
t = 20 second
Hence time taken is 20 second.
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Which of the following equations represent a proportional relationship?
Choose all that apply.
Answer:
I tried to draw it out for you
solve for x
[tex]4x - 16 = 0[/tex]
thankyou ~
4
Step-by-step explanation:
1. Add 16 to both sides
2. Simplify
3. Divide both sides by the same factor
4. Simplify
Solution: x = 4
Write 3 2/7 as an improper fraction
Answer: [tex]\frac{23}{7}[/tex]
Step-by-step explanation:
An improper fraction is a fraction with the wholes / ones in the numerator.
3 [tex]\frac{2}{7}[/tex]
3 * 7 = 21
21 + 2 = 23
[tex]\frac{23}{7}[/tex]
Answer:
23/7
Step-by-step explanation:
You multiply 7 times 3 which equals 21 then add 2 and get 23 you leave yor denominator the same.
So you multiply your denominator by your wole number then add the whole number (21) by your numerator (2) and leave your denominator (7) as it is.
A circle has a radius of 16 ft.
radians?
What is the area of the sector formed by a central angle measuring 5pi/4 radians?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
NEED HELP QUICK!!!
Answer:
502.4 ft^2.
Step-by-step explanation:
Area of a sector = 1/2 r^2 α where α = central angle in radians
= 1/2 * 5pi/4 * 16^2
= 502.4 ft^2.
What is the first step in solving a quadratic equation of the form given below?
(ax + b)^2 = c
A. Divide both sides by c
B. Take the square root of both sides
C. Use the zero product rule
D. Factor out a common factor
Pls help on this edulastic, brainly community. Answer the questions in the pic.
Answer is C
I hope this halped you
Answer:
C. f(x) > g(x) for x > 2
Step-by-step explanation:
Using a graph is probably the easiest way to compare an exponential function with a polynomial function. There are no algebraic methods for finding points of intersection. ("Trial and error," or "table of values" will work.)
A graph of these two functions shows f(x) > g(x) except on the interval [1, 2]. That is, f(x) > g(x) for x > 2.
what is the ratio of females who prefer strawberry ice cream? ( DO NOT SIMPLIFY)
Of those who prefer strawberry ice cream, what ratio are female? (DO NOT SIMPLIFY)
Answer:
The answer is 15/37.
Step-by-step explanation:
There are 15 girls who like starwberry icecream, and the total of girls is 37.
So, the ratio of girls who prefer strawberry icream to the whole group of girls, 15 out of 37 (15/37 or 15:37) like strawberry icecream.