Answer:
area of the original square = 36 in²
Step-by-step explanation:
given data
one side is increased = 9 inches
other side is decreased = 2 inches
area of the resulting rectangle = 60 in²
solution
we consider here x as the length of any one side
and
longer side of the resulting rectangle = x + 9
and
the shorter side x - 2
so that area of this rectangle is (s+9) × (s-2) = 60 in²
standard form of equation is x² + 7x - 18 = 60 .....................1
it will be
x² + 7x - 78 = 0
(s+13) (s-6) = 0
so that here x = -13
and x = 6
here we Discard x = -13 because the side length cannot be negative.
so x = 6
and area of the original square = 36 in²
For the equation 2x + 7 =30, x = 3
O True
O False
Answer: False
=============================================================
Explanation:
To see if the x value is a solution or not, we plug it into the equation given
2x+7 = 30 .... original equation
2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3
6 + 7 = 30 .... multiply 2 and 3 to get 6
13 = 30 ...... add 6 and 7 to get 13
We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.
That's why the overall claim is false.
3h+5 when h =4 23 points
Answer:
3*4= 12 12+5=17
Step-by-step explanation:
hav a great day :P
Answer:
17
Step-by-step explanation:
3h + 5 h=4
plug in 4 for h
3(4) + 5
12 + 5
17
Hope this Helps!!!
What fraction goes in the box to make it correct?
4/11×_=1
Step-by-step explanation:
[tex] \frac{11}{4} [/tex]
[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]
if it's helpful ❤❤❤
THANK YOU.
Determine the value for x
Answer:
option 2) is correct
angle a and angle x are supplementary angles
so x=180-140
x=40°
Alan buys a basket of apples on sale for $7 before tax. The sales tax is 12.5%. What is the
total cost for the basket of apples?
What is the slope of a line parallel to the line whose equation is x+2y=2
Step-by-step explanation:
Parallel lines have the same slope.
[tex]x + 2y = 2 \\ 2y = x - 2 \\ y = 0.5x - 1[/tex]
[tex]y = mx + b \\ m \: is \: the \: slope \: so \: te \: slope \: is \: \frac{1}{2} [/tex]
Ramon owed $850.00 on his car loan. Two months later, he owed $510.00
on the loan. By which percent did Ramon's car loan amount decrease?
Answer:
40%
Step-by-step explanation:
(850-510)/850 = 340/850 = 2/5 = 40%
Answer: 40% I looked it up
Step-by-step explanation:
Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Here, we want to set up equations
There are 29 problems, so adding up the number of individual problem types will give 29
x + y = 29 ••••••(i)
Let us work with points now;
x is worth 5 points, y is worth 2 points
Thus, mathematically;
5x + 2y = 100 ••••••••••(ii)
Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points
Mindy needs to rake a rectangular part of her yard that is 9 feet by 8 feet. It takes her 10 minutes to rake an area that is 12 feet square. How long will it take Mindy to rake the rectangular part of her yard?
Answer:
60 minutes
Step-by-step explanation:
Time taken to rake 12ft² = 10 minutes
Area of Mindy's rectangular path :
Area of rectangle = Length * Width
Dimension of Mindy's rectangular path = 9ft by 8ft
Area = 9ft * 8ft
Area = 72ft²
Hence, it will take Mindy;
(Area of Mindy's path / 12 ft) * time taken
(72ft² / 12ft²) * 10 minutes
6 * 10 = 60 minutes
The cost to enter the fair is $9. Rides cost $5 each. Write the equation to represent this problem.
Class comments
Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?
Answer:
36 ft
Step-by-step explanation:
Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?
Hence, this is calculated as:
5ft/15ft = 12 ft/Daniela's height
Cross Multiply
5ft × Daniela's height = 15ft × 12ft
Daniela's height = 15ft × 12 ft/5ft
= 36ft
Therefore, Daniela's height = 36 ft
can I get help with this
Answer:
$3,600
Step-by-step explanation:
To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.
Doing so, we get: $270 over 0.075 = $3,600
I need the answer plz so I dont fail
Answer:
Whats the problem? it wont show for me...
Step-by-step explanation:
i will awnser, just gotta give me the problem
solve for y
equation : y=mx+b
Answer:
? i need numbers
Step-by-step explanation:
I need help again with this last problem.
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] |12| + | - 15| = [/tex]
[tex]12 - ( - 15) = [/tex]
[tex]12 + 15 = [/tex]
[tex]27[/tex]
Thus the correct answer is the last option .
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
[tex] \boxed {27}[/tex]
Step-by-step explanation:
All negative numbers in the absolute sign will become positive.
[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]
Therefore we evaluate | - 15 | = 15
[tex]12 + 15 = \red {27}[/tex]
what is 1/5x +8 < -4
Answer:
The answer is x< -60
please let me know if I am incorrect.
Explanation:Solve for x by simplifying both sides of the inequality, then isolating the variable.
Aiden cuts a ball of string into 14 equal pieces. The length of each piece of string is 2 1/4 yards. What is the original length of the ball of string?
Answer:
31 1/2 yards
Step-by-step explanation:
In order to calculate the original length of the ball of string we simply need to multiply the length of each piece of string by the total number of strings that were produced from the original ball of string. First, we can turn the 2 1/4 into a single decimal number. Since 1/4 is equal to 0.25 we just add this to 2 to get 2.25, now we can go ahead and multiply this by the 14 total pieces.
2.25 * 14 = 31.5 or 31 1/2 yards
Nolan bought 3 postcards while on vacation for 1 week how many weeks will Nolan have to spend on vacation to buy 15 postcards if he buys them at that rate
Answer: 5 weeks
Step-by-step explanation:
In the 1 week he was on vacation, Nolan was able to buy 3 postcards.
The rate he is buying postcards is therefore 3 per week.
If he needed to buy 15, he would need to be there for:
= 15 postcards/ 3 postcards a week
= 5 weeks
For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?
Answer:
The average rate of change from 7 to 60 minutes is 0.36 miles per minute.
Step-by-step explanation:
at x₁ = 7, f(x₁) = 8
at x₂ = 60, f(x₂) = 27
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [27 - 8] / [60-7]
= 19 / 53
= 0.36
Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.
An equiangular triangle has one angle of measure 2x+8. What is x?
Answer:
[tex]x=26\\[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:
[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].
Answer: x=10
Step-by-step explanation:
300,000 -7,000 + 100 + 60 +3?
Answer:
293,163
Step-by-step explanation:
300,000-7,000+100+60+3
293,000+100+60+3293,100+60+3293,160+3293,163Give the domain and range of the relation th
1. {(-3, 3), (1, 1), (0, -2), (1, -4), (5, -1)}
Domain:
Range:
Function?
What is it
Answer: the domain is -3. 1, 0, 1, and 5 and range is, 3. 1, -2, -4, and-1 I dont know the function but I hope this helped
Step-by-step explanation:
6x-2y=156.......(1)
X - y=18.........(2)
(1)-2×(2 )
How will you go about it
Answer:
Step-by-step explanation:
(1) 6x-2y=156
2×(2) ; 2(x-y=18)
;2x-2y=36
from (1)-2×(2)
is 6x-2y=156 -
2x-2y=36
4x=120
x=30
from (2)
x-y=18
x-18=y
y=30-18
y=12
need to know soon! please help
Answer:
59
Step-by-step explanation:
62+59= 121
180-121= 59
Answer:
m<1 = 121
Step-by-step explanation:
59 + 62 = 121
180 - 121 = 59
180 - 59 = 121
BRAINLIEST!URGENT! Please help if you can. If you know the answer, please leave an explanation and I will mark you brainliest!
Choose the definition for the function.
Answer: C
Step-by-step explanation:
Please help!
And explain the answers too!
Find 80% of 14,236.
Enter the correct answer in the box.
Answer:
11388.8
Step-by-step explanation:
Answer:
11,388.8
Step-by-step explanation:
if 14,236 = 100℅
X. = 80℅
14,236*80℅ divided by 100℅
X= 11,388.8
 tell me how to answer this please I WILL MARK BRAINLIEST
Answer:
It equals 3
Step-by-step explanation:
To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.
find the values of z and y plssss
Answer:
z is 23 and i dont see a y
Step-by-step explanation: