The value of x determined algebraically given the total area of the rectangle is 1.5 inches
How to find area of a rectangleInitial dimensions:
Length = 14 inches
Width = 10 inches
New dimensions:
Length = 14 + x
Width = 10 + x
Area = 320 square inches
Area of a rectangle = Length × Width
320 = (14 + x) × (10 + x)
320 = 14x × 10x
320 = 140x²
x² = 320/140
x² = 2.28571428571428
x = √2.28571428571428
x = 1.511857892036908908858066144936720243
Approximately,
x = 1.5
Learn more about area of a rectangle:
https://brainly.com/question/13048427
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 ....
helphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Answer:
Its mass or size.
The amount possessed by an object directly upon the square of the speed. It increases the kinetic energy.
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!
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.
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.
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
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)
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
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.
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
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:
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.
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
Please I need your help
given determinant of a (a b c,d e f ,g h i) is -2 find determinant of ( g h i ,a b c ,d e f)
ANSWER:-
-2
Step-by-step explanation:
(abc, def, ghi) is -2
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!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
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!
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.
Find the numbers whose difference is five and whose product is 266
Answer: 19 and 14
Step-by-step explanation:
19-14 = 5
19x14 =266
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.
Help picture below problem 11
Answer:
128° is the correct answer...
Step-by-step explanation:
mark me brainliest
Which of the following terms describes the 3 in the expression 3x+7?
It's Coeficent
,.,.,..,.,
find rate
a)the interest of Re.1 of 1 month is 1 paisa.
b)the interest of re.1 of 1 month is 2 paisa
Step-by-step explanation:
A.) Correct Answer: 12%
Given , Principle = ₹ 1 , Time = 1 month = ( 1 / 12 ) year and SI = 1 paisa = ₹ ( 1 / 100 )
As we know that ,
Rate =SI × 100Principal × Time
Rate =(1 ÷ 100) × 100= 12% p.a.1 × (1 ÷ 12)
B.) Correct Answer:
Answer:
See below ↓
Step-by-step explanation:
a) I = Prt
r = I/Ptr = 0.01/1x(1/12)r = 0.12r = 12%b)
r = I/Ptr = 0.02/1x(1/12)r = 0.24r = 24%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)
Which values from the set {-8, -6, -2, 0, 2, 4, 8} satisfy the following inequality?
he was never late negative to affirmative
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
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
If you can run a mile in 7 minutes, how fast are you running?
Help anybody please help me
Answer:
3 units
Step-by-step explanation:
you count how many blocks they are from each other