Answer:
Mike is 68 and John is 32Step-by-step explanation:
Set equations as follows
20 years ago
Mike was four times as old as John:
x - 20 = 4(y - 20)Four years from now
Mike will be twice as old as John:
x + 4 = 2(y + 4)Simplify each equation
x - 20 = 4y - 80 ⇒ x = 4y - 60x + 4 = 2y + 8 ⇒ x = 2y + 4Solve for y by substitution
4y - 60 = 2y + 44y - 2y = 60 + 42y = 64y = 32Find the value of x
x = 2*32 + 4 ⇒ x = 68I hope you can convert the above equations into required format. Let me know if not.
Two companies provide home Internet services.
The first company charges a one-time fee of $55 for the equipment, plus $30 per month for the service.
The second company charges a one-time fee of $25 for the equipment, plus $45 per month for the service.
In how many months will the services of the two companies cost the same?
Answer:
2 months
Step-by-step explanation:
55+30x=25+45x
55-25=45x-30x
30=15x
x=2
the length of a rectagle is twice its width. if the perimeter of the rectangle is 36in, find its length and width
Answer:
6*2=12
if length is 12 half it would be 36
Answer:
width = 6in
length = 12in
Step-by-step explanation:
If we call the width x, the length has to be 2x and so...
x + 2x + x + 2x = 36 (this can be simplified to ↓)
6x = 36 (if you divide both sides by 6...)
x = 6
This means that the width of the rectangle is 6in and so the length is 12in.
Hope this helps!
Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not at all important” and a rating of 10 means “very important.” Here is a dot plot of their responses. Explain why a rating of 6 is not a good description of the center of this data set.
Considering the dot plot, we have that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.
What is a dot plot?A dot plot is a graph shows the number of times each measure appears in the data-set.
From the plot given in this exercise, it is found that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.
More can be learned about dot plots at https://brainly.com/question/24912483
Which values from the set {-8, -6, -2, 0, 2, 4, 8} satisfy the following inequality?
he was never late negative to affirmative
What is the mean of the data set?
21.2, 15.3, 20.5, 16.8, 30.2
Question 1 options:
19.2
20.8
21.5
Answer:
B. 20.8 (second option)Step-by-step explanation:
The mean is calculated by adding up their values, and then dividing them into elements of a set.
All of them should first be added together.
21.2+15.3+20.5+16.8+30.2
Solve.
[tex]\sf{21.2+15.3+20.5+16.8+30.2=104}[/tex]
The sum of the data set is 104.
The number of terms in the data set is n=5.
Therefore, the mean of the data set is 20.8, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
zeros.
Find a polynomial of the specified degree that has the given
Degree 5; zeros -4, -3, 0, 4,3
Answer:
f(x)=x(x+4)(x+3)(x-4)(x-3)
Step-by-step explanation:
hello :
an polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)
means : f(x)=x(x+4)(x+3)(x-4)(x-3)
The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.
Answer:
-4 and 4
Step-by-step explanation:
Have a good day.
Answer:
answer is -4 and 4 ):(
Step-by-step explanation:
Help please anybody?
Answer:
.................
216cm^2
Step-by-step explanation:
brainliest please
Divya spends all of her free time playing with her building blocks. She owns building block sets with 333 pieces, 555 pieces, and 101010 pieces. Divya knows she owns 555 sets with 555 pieces and 222 sets with 101010 pieces. She also knows that she averages 555 pieces per set. This information is summarized in the table below
Answer:
5 sets
Step-by-step explanation:
The average number of pieces per set is the ratio of the total number of pieces to the total number of sets.
Let x represent the number of 3-piece sets. Then the total number of pieces is ...
3x +5(5) +10(2) = 3x +45
The total number of sets is ...
x +5 +2 = x +7
We want the ratio of these numbers to be 5 pieces per set:
(3x +45)/(x +7) = 5
3x +45 = 5x +35 . . . . . multiply by (x+7)
10 = 2x . . . . . . . . . . subtract (3x+35)
5 = x . . . . . . . . . divide by 2
Divya owns 5 sets with 3 pieces.
_____
Alternate solution
Each 10-piece set has 5 more pieces than average, so the two of them total 10 more pieces than average.
Each 3-piece set has 2 fewer pieces than average. The total number of 3-piece sets must have a total of 10 fewer pieces than average in order to balance the excess of the 10-piece sets. That is, there must be 10/2 = 5 of the 3-piece sets to have a total lof 10 fewer pieces than average.
Altogether, the differences from average must total zero.
All changes saved 16. The Abdul family is comparing the costs of two different high-speed Internet services. With plan A, equipment installation is $199, and the monthly fee is $50. With plan B, the installation is $50, with a $90 monthly fee. The cost of Part A is given by f(x) = 50x + 199 and the cost of Part B is given by g(x) = 90x + 50, where x is the number of months of service.
Part A: Make two tables that you could use to graph the functions. Let x = 0, 1, 2, 3, 4, 5, and 6.
Part B: Graph both functions.
Part C: The Abduls plan on using the Internet service for one year. Based on cost, which plan would you recommend? Explain.
For one year, plan B would be recommended, because it would be cheaper.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of plan A is given by f(x) = 50x + 199 and the cost of plan B is given by g(x) = 90x + 50
For one year, plan B would be recommended, because it would be cheaper.
Find out more on equation at: https://brainly.com/question/2972832
Answer: Plan A
Step-by-step explanation:
f(x) = 50x + 199 = A
g(x) = 90x + 50 = B
Plan A = (1,249) (2, 299) (3,349) (4,399) (5,449) (6,499)
Plan B = (1, 140) (2, 230) (3, 320) (4,410) (5, 500) (6, 590)
Plan A would be recommended because plan A you pay the least amount = 499 dollars over 6 months versus 590 dollars over 6 months with plan B.
find GCF of 40 and 120
Answer:
Hi there!
Find the GCF of 40 and 120The GCF of 40 and 120 is 4040 ÷ 40 = 1
120 ÷ 40 = 3
Hope its help!If you can run a mile in 7 minutes, how fast are you running?
7 3/5 - 6 3/5
Pls help i can't do dis math
Step-by-step explanation:
[tex] = 7 \times \frac{3}{5} - 6 \times \frac{3}{5} \\ = \frac{7 \times 5 + 3}{5} - \frac{6 \times 5 + 3}{5} \\ = \frac{38}{5} - \frac{33}{5} \\ = \frac{38 - 33}{5} \\ = \frac{5}{5} [/tex]
Now convert into lowest term
[tex] \frac{1}{1} [/tex]
1/1 is the answer ....
Help picture below problem 16
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+9^2 = 16^2\\?^2 + 81=256\\?^2 = 175\\? = 13.2[/tex]
Thus the missing side length is 13.2 cm
Hope that helps!
Write an essay comparing the two arguments made about whether dodgyball should be played in school. Use textual evidence from the article to support your answer. TITLE- A Dodgy call AUTHOR Tum Jones Introduction Hook- Bridge-
Answer:
(This is not math)
Step-by-step explanation:
I think that dodgeball should be allowed un our school because it gets our legs moving and lets us extrasice and practice our swiftness
La integral indefinida de la función h(x)=2x+5x4
Answer:
x^2 + x^5 + C.
Step-by-step explanation:
∫2x + 5x^4 dx
= 2 * x^2/2 + 5 * x^5/5 + C
= x^2 + x^5 + C.
Mathematics pls help 4 questions will give brain to best answer
What is the mean for the data set, to the nearest whole number?
Answer:
[1] 8
[2] 10
[3] 8.5
[4] 8
Step-by-step explanation:
[1] What is the mode of the data set?
5,8,8,8,8,9,9,9,10,10
Answer = 8
Explanation: Mode = Appears Most
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[2] How many people were in the sample?
Answer = 10
Explanation:
Each x = 1 person
Hence, it a total of 10 "x" (10 People)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[3] What is the median of the data set?
5,8,8,8,8,9,9,9,10,10
Answer = 8.5
Explanation:
Median = Middle
5,8,8,8,8,9,9,9,10,10
5,8,8,8,8,9,9,9,10,10
8 + 9 = 17/2 = 8.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[4] What is the mean for the data set, to the nearest whole number?
Answer = 8
Explanation:
Mean = Add up all data values to get the sum and Count the number of values in your data set. Divide the sum by the count
5 + 8 + 8 +8 + 8 + 9 + 9 + 9 + 10 + 10 = 84/10=8.4
8.4 Round = 8
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~Lenvy
Help picture below problem 11
Answer:
128° is the correct answer...
Step-by-step explanation:
mark me brainliest
Please I need your help
Find the distance between the two points rounding to the nearest tenth (if necessary). (-8,-6) and (-3,-4)
Answer:
9.8
Step-by-step explanation:
The distance is calculated using the formula d=√(x2-x1)²+(y2-y1)².
The first thing to do is subtract to find the necessary values.
X 8 - 4 = 4
Y -3 - 6 = -9
d=√(4)²+(9)²
d=√(16 + 81)
d=√97
d = 9.8488578018 or 9.8
i am confused please help
Answer:
volume = lenght x width x height
v= 12x20x14
v=3,360 in³
3⋅2t
a. Evaluate the expression when t is 1.
b. Evaluate the expression when t is 4.
pls hurry its due in 5 mins
Answer:
Step-by-step explanation:
a) substitute t = 1 in the expression
3 - 2t = 3- 2*1
= 3 - 2
= 1
b) substitute t = 4 in the expression
3 - 2t = 3 - 2*4
= 3 - 8
= (-5)
helphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Answer:
Its mass or size.
The amount possessed by an object directly upon the square of the speed. It increases the kinetic energy.
You can run at a speed of 6 mph and swim at a speed of 3 mph and are located on the shore, 5 miles east of an island that is 1 mile north of the shoreline. How far (in mi) should you run west to minimize the time needed to reach the island
Answer:
I think I should run 5miles
Which function grows at the fastest rate for increasing values of x?
g(x) = 10x + 15
f(x) = 2•3^x
h(x) = 5x^2 + x + 10
Answer:
The answer is g(x) = 10x + 15
Step-by-step explanation:
Given;g(x) = 10x + 15 f(x) = 2•3ˣ 5x² + x + 10To Find;function grows at the fastest rate for increasing values of x.Here, If we assume the value of x is 1 we get,
g(x) = 10x + 15
g(1) = 10(1) + 15
g(1) = 10 + 15
g(1) = 35
Here, We get the answer 35.
Now,
f(x) = 2•3ˣ
f(1) = 2•3¹
f(1) = 2•3
f(1) = 6
Here, We get the answer 6.
Now,
h(1) = 5x² + x + 10
h(1) = 5(1)² + 1 + 10
h(1) = + 5 + 1 + 10
h(1) = + 16
Thus, The answer is g(x) = 10x + 15.
-TheUnknownScientist 72
a) Work out
41/7 + 1 1/2
Answer:
11 5/4
Step-by-step explanation:
make the denominator the same then add.the common factor of 2 and 7 is 14 so make all the denominator to 14 then u can add.thus having the answer
give an equation for the graph
Answer:
y = -4
x = 1
Step-by-step explanation:
soo you could memorize if you want that if its a vertical line it will be x = __
or if its a horizontal line is y = ___
but i like doing ummm so when you look at the first line nothing changes to y, so y wil be always -4 . its the same for the vertical line, the x stays the same.
Elise is in a challenge with her gym class to run a total of 200 miles in one
school year. In the first month she ran 18 miles. If she wants to split the
remaining amount of miles over the
next seven months, how many miles will
she run each month?
Show your work.
1: The number of hours, h, spent studying and the score s, on a test (find the independent variable and the dependent variable.
Answer:
independent - number of hours (h)
dependent - the score (s)
Step-by-step explanation:
Which of the following terms describes the 3 in the expression 3x+7?
It's Coeficent
,.,.,..,.,