Answer:
-7
Step-by-step explanation:
2x + 3 = x - 4
-3 = -3
2x = x - 7
-x -x
x = -7
The area of a rectangle is 24 square centimeters and its side lengths are x centimeters and x+ 2 centimeters,
a. Find the side lengths of the rectangle. Justify your answer.
b. Find the perimeter of the rectangle.
Step-by-step explanation:
area of rectangle= x ( x +2 ) = 24
X2 + 2X = 24
X 2 +2X _24 = 0
(X +6 ) ( X _4 ) = 0
X= 4
X= - 6.......refused
side length of rectangle is 4 , 6
perimeter= 2( 4+6) = 20 Cm
The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.
What is perimeter of rectangle?The perimeter of a rectangle is the sum of its four sides. Hence,
Perimeter of Rectangle = 2 (Length + Width) units.
What is area of rectangle?The area of the space occupied within the perimeter of a rectangle is called the area of a rectangle. It is calculated by finding the product of the length and breadth of the rectangle.
Area of rectangle = Length * Breath
According to the question
Area of a rectangle = 24 square centimeters
Side length = x+ 2
Side Breath = x
Now,
a> using Formula of Area of rectangle
Area of rectangle = Length * Breath
substituting the value
24 = x * (x+2 )
24 = [tex]x^{2} +2x[/tex]
[tex]x^{2} +2x[/tex] - 24 = 0
[tex]x^{2} + (6-4)x -24 =0[/tex]
(x +6 ) (x-4) = 0
x = -6 , +4
side cannot be negative
Therefore
Breath of rectangle (x) = 4 cm
Length of rectangle (x+2) = 6 cm
b> Perimeter of the rectangle = 2 (Length + Breath) units.
substituting the value
Perimeter of the rectangle = 2 ( 4 + 6 )
= 20 cm
Hence, The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.
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two positive numbers are in the ratio of 4:9. their difference is 30. what is the sum of the two numbers?
Answer:
78
Step-by-step explanation:
The difference is 30, which means that 4:9 is equal to 4x:9x, and the difference is 5x. x = 6, so 4x + 9x = 24 + 54 = 78
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
47
Step-by-step explanation:
Answer:
x = 63
Step-by-step explanation:
180 = 47 + 70 + x
180 = 117 + x
180 - 117 = x
63 = x
find the value of x in the triangle shown below
Answer:
x = 3
4^2 + x^2 = 5^2
solve for x
16 + x^2 = 25
x^2 = 25-16
x^2 = 9
sqrt of x^2 = 3
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Mrs. aviles is planning a fruit-cup party for a class of 18 students and two teachers. She spends $10 for a package of snacks and also takes orders in advance for fruit cups that cost $3 each.
1. describe the domain of the function both in words and numbers?
2. what is the range?
Answer:
domain is x = 3
Thus domain means that for every fruit cup costs $3
Range is f(20) = 60
Step-by-step explanation:
We are given;
Total students for the fruit cup party = 18
Total teachers for the fruit cup party = 2
Cost of each fruit cup =$ 3
Delivery charge = $ 10
Now, the total number of people attending the party = Total number of students + Total number of teachers
Thus;
Total number of people attending party = 18 + 2 = 20
Since cost of each fruit cup is $3.
Thus, for 20 fruit cups, the function is;
f(x) = 20x where x is cost of each fruit cup.
It means the cost of 20 fruit cups = $3 × 20 = $60
Thus, domain is x = 3
Thus domain means that for every fruit cup costs $3
Range is f(20) = 60
A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats. If the number of boxes needed for packing is proportional to the number of bats produced, how many boxes would be needed on a day when 36,000 bats are produced?
Answer:
Total boxes= 75
Step-by-step explanation:
Giving the following information:
A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.
First, we need to determine the number of bats that fits into a box:
Bats per box= 24,000 / 50
Barts per box= 480
Now, the number of boxes for 36,000 bats:
Total boxes= total bats / bats per box
Total boxes= 36,000/480
Total boxes= 75
Answer:75
Step-by-step explanation:
Bats 24000/50
Box 480
please help it is due today
Answer:
-7n - 3
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
5n - 3(4n + 1)
Step 2: Simplify
Distribute -3: 5n - 12n - 3Combine like terms: -7n - 3HELP ME PLZ BRAINLIST 4 U
Answer:
G
Step-by-step explanation:
I think its G because i counted the numbers...and i pretty sure its not a Negative so yah
Find the slope from the table.
The sum of two numbers is 53 and the difference is 19. What are the numbers?
HELP PLS
An oil company fills 1 over 10 of a tank in 1 over 5 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely? (1 point)
a
1 over 5 • 10 hours
b
1 over 10 • 5 hours
c
1 over 5 • 1 over 10 hour
d
5 • 10 hours
Given that,
An oil company fills 1 over 10 of a tank in 1 over 5 hour.
To find,
How long it will take for the tank to fill completely.
Solution,
Let it takes t time to fill the tank completely. It can be calculated as follows :
[tex]t=\dfrac{\dfrac{1}{10}}{\dfrac{1}{5}}\ \text{hours}\\\\=\dfrac{1}{10}\times 5\ \text{hours}[/tex]
Hence, the rate is "1 over 10 • 5 hours ". The correct option is (b).
QUESTION 4
1/2x + 5= 10
What's x?
Answer:
10
Step-by-step explanation:
—Math½ x + 5 = 10
½ x = 10 – 5
x = 5 x 2
x = 10
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a farm lets you pick 4 cups of peanut butter for 10$ . How many cups do you get per dollar?
Answer : 2.5 cups per dollar
Step-by-step explanation:
You need to find to unit rate 4 cups divided by 10$ is 0.40$. Then you need to divided 0.40 into a dollar (which would be 1.00) so 1.00 divided by 0.40 is 2.5 cups
What would F^-1(-2) equal
Answer:
I hope this helps:)
Step-by-step explanation:
Help with math question
Answer:
I believe because everything adds to 180
Which of the following number lines shows the correct sum of the number above and -5/2?
A.
B.
C.
D.
The phone you want to purchase is $200. You have a coupon for 20% off the purchase price, How much w
you pay for the phone after the discount?
Answer:
$40
Step-by-step explanation:
Any help here please I don’t understand these math problems.
148 x 8 = ?
Estimate:
Show how solved
Plz help
Answer:
1,184.00
Step-by-step explanation:
used a calculator
Find the difference.
(⅚x + 10) - (⅙x -5)
***Be Careful - that minus sign is subtracting BOTH terms in the 2nd parentheses.
Answer: 2/3x + 15
Step-by-step explanation:
(⅚x + 10) - (⅙x -5)
The first thing to do here is to open the bracket. This will be:
= ⅚x + 10 - ⅙x + 5
= ⅚x - ⅙x + 10 + 5
= 4/6x + 15
= 2/3x + 15
determine the domain on which the following function is increasing:
if f(x)=x-5, find x when f(x)=15
Answer:
x = 20
Step-by-step explanation:
we are given the value of f(x), replace it in the first equation
15 = x - 5
solve for x by adding 5 on both sides
15 + 5 = x
20 = x or x = 20
The value of x is 20.
Algebraic function :Given function is,
[tex]f(x)=x-5[/tex]
We have to find the value of x when [tex]f(x)=15[/tex]
[tex]x-5=15\\\\x=15+5\\\\x=20[/tex]
The value of x is 20.
Learn more about the function here:
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I AM STUCK AND NEED HELP will give 30 points
A system of equations is graphed on the coordinate plane.
2y=3x−1
4y=6x−2
Select the number of solutions for the system of equations from the drop-down menu.
infinite solutions
one solution
or
no solutions
Explanation:
Despite there only being one line shown, there are actually two lines here. One just happens to be directly on top of the other.
We can see this by noting that 2y = 3x-1 turns into 4y = 6x-2 when we multiply both sides by 2. Multiplying both sides by the same number keeps the same equation, so that's why we have identical graphs.
The two identical graphs intersect each other infinitely many times, leading to infinitely many solutions. All solutions are (x,y) points on the blue line. Two such solutions are (1,1) and (3,4). All solutions are of the form [tex]\left(x, \frac{3x-1}{2}\right)[/tex]
Complete the proof that XY - UZ.
Z
Y
Х
V
U
W
how many lines of symmetry does the Eiffel Tower have?
Answer:
it has 2 lines of symmetry 1 going across it diagonally and 1 going straight through the middle.
Step-by-step explanation:
elliot borrowed $3800 from the bank for 3 years at a 4.25% simple interest rate?
$161.50
Step-by-step explanation:
4.25% of $3800 is $161.50
DEF is a 90° clockwise rotation of ABC. Find the length of FD.
A
D
5x - 22
F
B
3x + 18
Answer:
Step-by-step explanation:
54
The sum of two numbers is 3. When you take twice the smaller number and add it to 6 times the larger number you get 16. What are the two numbers?
The sum of three consecutive even numbers is 582. What is the 1st number?
Answer:
192
Step-by-step explanation:
Answer: The first number is 192 .
Step-by-step explanation:
Let the three consecutive even numbers
be x , x+2 and x +4 .
Their sum = 582
x + (x+2) + (x+4) = 582
x + x +2 + x +4 = 582
3x + 6 = 582
3x = 582 - 6
3x = 576
x =
x = 192
First number = 192
Second number = 192 + 2 = 194
Third number = 192 + 4 = 196
Answer the two following question and will mark Brainliest
Answer:
The answer is C
Step-by-step explanation:
How do I know?
Well first you have to see where it is going with this. It is negative no? so cross out the postive numbers. Then you are left with infinite and (-4,-8). Now do you see the pattern. -4, -4, -8. It will not go to infinite so cross out that. Now what are you left with? That's right (-4,-8)
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