Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
Given
Shapes: Square and Rectangle
Square:
[tex]Length = x[/tex]
Rectangle:
[tex]Length = 12 + 2x[/tex]
[tex]Width = x- 8[/tex]
Required
Find x
First, we calculate the area of the square.
[tex]Area = x * x[/tex]
[tex]Area = x^2[/tex]
Next, we calculate the area of the rectangle
[tex]Area = (12 + 2x) * (x - 8)[/tex]
[tex]Area = 12x -96 + 2x^2 - 16x[/tex]
[tex]Area = 2x^2 - 16x + 12x -96[/tex]
[tex]Area = 2x^2 -4x -96[/tex]
Since both areas are equal, we have:
[tex]x^2 = 2x^2 -4x -96[/tex]
Equate to 0
[tex]2x^2 -x^2 -4x -96= 0[/tex]
[tex]x^2 -4x -96= 0[/tex]
Expand:
[tex]x^2 - 12x + 8x -96 = 0[/tex]
[tex]x(x - 12) + 8(x - 12) = 0[/tex]
[tex](x + 8)(x - 12) = 0[/tex]
[tex]x + 8 = 0[/tex] or [tex]x - 12 = 0[/tex]
[tex]x = -8[/tex] or [tex]x = 12[/tex]
But x can't be negative.
Hence:
[tex]x = 12[/tex]
Convert the given amount to the given unit.
9 yd; ft
Answer:
27 Feet
General Formulas and Concepts:
Dimensional AnalysisStep-by-step explanation:
Step 1: Define
9 yards
x ft
Step 2: Define conversion
1 yd = 3 ft
Step 3: Find
Set up: 9 yd(3 ft/yd)Evaluate: 27 ftSolve for s.
4s + 6s - 4 = 6
Answer:
s = 1
Step-by-step explanation:
4s + 6s - 4 = 6
10s - 4 = 6
+ 4 +4
10s = 10
10s/10=
s = 1
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
Solve for x. x=16*4 to the second power +34*m. When m=5
What figure below has exactly 2 lines of symmetry?
Answer:
C.
Step-by-step explanation:
A has 8 lines of symmetry, because they're all the same.
B has 4 lines of symmtery because those are all the same
C has only 2 because the vertical lines are symmetrical to each other, but not to the horizontal lines
D has 10 symmetrical lines because they're all the same
Please answer quickly I'm failing and need help!
Answer:
Blue=slope of 1
Yellow=slope of 2
Black=slope of 1/5
A 26-by-27-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. Find the width of the margins if the printed area is to be 360 in2.
Answer:
Step-by-step explanation:
Let the width of the margins as x.
So, we subtract 'x' width on each side of the paper.
So, length = 26-x-x= 26-2 x
Width = 27-x-x=27-2 x
Now, it is given printed area is 360
We can set up equation using length x width = Area
(26-2 x)(27-2 x) = 360
Multiply the left side using FOIL method,
702 -52 x-54 x+4 x^2 =360
Combine like terms
702-106x+4x^2=360
Subtract both sides 360
4x^2-106x+342 =0
Let's divide both sides by 2 to simplify
2x^2 -53x+171=0
Let's use quadratic formula to solve.
I'll upload the file for this.
There are two possible values for x.
Approximately x= 22.46 , x=3.76
Here x=3.76 works b
Express (31 – 4)(x + 7) - 1x as a trinomial in standard form.
Answer:
This would be 26 x + 189
35 is what percent of 25
Answer:
Step-by-step explanation: Convert fraction (ratio) 35 / 25 Answer: 140%
The number 35 is 140% of the given number 25.
A fraction or proportion expressed as a percentage of 100 is called a percentage. "%" is used to represent it. Frequently, percentages are employed to indicate relative values, compare amounts, and represent components of a total.
To find out what percent 35 is of 25, we can use the following formula:
Percent = (Part / Whole) * 100
Identify the part and the whole. In this case, 35 is the part and 25 is the whole.
Substitute the values into the formula:
Percent = (35 / 25) x 100
Simplify the expression inside the parentheses:
Percent = 1.4 x 100
Multiply the simplified expression by 100:
Percent = 140
Therefore, 35 is 140% of 25.
To know more about the percentage follow
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which does not apply?
Answer:
deez nuțs
Step-by-step explanation:
got em
the answet is b.
Find the value of a. The diagram is not to scale.
Answer: B. a = 144 degrees
Step-by-step explanation:
180=36+a
144=a
Step-by-step explanation:
hope it's obvious both the reason is being cointerior angle
plz follow me
What’s the difference between a supplementary and complementary angle?
Are the trianges congruent?
If so, state how
Help ASAP
Answer:
Okay so on the first one it would be congruent because they have congruent sides or angles. (Hint: Look at the tick marks on both triangles and see if they match up, if they do then they are congruent.) I hope this helps you have a great day! <3
Step-by-step explanation:
GUYS I NEED HELP FAST PLEASE
Answer:
Q1, x=2 and all sides equal 8
Q2, x=3, MN and MP equal 10 and NP equals 8
Step-by-step explanation:
On an equilateral triangle all sides are equal
6x-4=3x+2
6x=3x+6
3x=6
x=2
6x-4
6(2)-4
12-4
8
On a isosceles triangle the two long sides are equal
4x-2=5x-5
4x=5x-3
-x=-3
x=3
4x-2
4(3)-2
12-2
10
3x-1
3(3)-1
9-1
8
Seven times a number minus the number is -48. Find the number.
A. the number is -8
B. the number is 8
C. the number is 6
Answer:
x = -8
Step-by-step explanation:
let's say the number is equal to x; seven times the number is 7x;
then it says minus the number so 7x-x is equal to -48
7x-x=-48; combine the x's
6x = -48; now divide by 6
x = -8
Answer:
The anwser would be A: -8
Step-by-step explanation:
7 x -8 = -56
-56 - (-8) = -48
Slope from graph???????????
Answer:
The slope equation says that the slope of a line is found by determining the amount of rise of the line between any two points divided by the amount of run of the line between the same two points. In other words, Pick two points on the line and determine their coordinates.
Step-by-step explanation:
If f(a)=-5, what is the value of |f(a)|?
|f(a)| , the vertical lines mean absolute value. Absolute value is the positive value of the answer whether it is actually negative or positive.
F(a) is given as -5, so the absolute answer would be 5
The answer is 5
Answer the question in the photo
Answer:
B and C
Step-by-step explanation:
Both B and C
B)
2/5 = 0.4 (which terminate as decimals)
Similarly
C)
-1/4 = -0.25 (also terminates)
But A and D do not terminate
As for A) 1/3= 0.33333333..........
and for D) 7/9= 0.777777777......
In both cases the decimals are a never ending sequence or in other words does not terminate at all. They are irrational numbers.
Hope you understand. Thank you.
divide in simplest form
13÷10 5/6
7/8÷3 1/16
how many 1 3/5 inch books can fit on a
14 1/2 inch long book self
Answer:
13÷10 5/6
7/8÷3 1/16
how many 1 3/5 inch books can fit on a
14 1/2 inch long book self
Step-by-step explanation:
Review the four points shown on the polar coordinate
system.
Which point represents (3. - *)?
7/2
2003
03
O point A
O point B
O point C
O point D
57/6
2/6
B
A
0
2
4
6
D
7706
11-06
4903
503
3,2
Mark this and return
Save and Exit
Next
Submit
Answer:
A edge 2021
Step-by-step explanation:
Point A Represents (3,-5π/3).
What is a polar coordinate?The distance from a point to the origin (r) and the angle this line makes with a fixed line (Θ) are the two coordinates that specify where a point is located in a plane.
The radius of circle is 3 units.
The angle in the polar coordinate measured clockwise is considered negative and measured anticlockwise as positive.
In order to get the position of the angle from the x-axis the angle should be added by 2π as
Θ = 2π-5π/3
Θ = π/3
The angle is calculated clockwise.
From the diagram point, A represents the angle π/3.
Thus, the Point A Represents (3,-5π/3).
learn more about the polar coordinate here:
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A 1/2 cup serving of ice cream contains 140 calories. How many calories would be in a 3/4 cup serving?
Answer:
There would be 210 calories in a 3/4 cup serving.
Step-by-step explanation:
1/2 of 140 = 70
70 = 1/4
70 x 3 = 210 = 3/4
I hope this helped you! If it did, please consider pressing thanks, rating my answer, and marking as Brainliest. It would be a big help! Have a great day! :)
Based on the number of calories in 1/2 cups, the number of calories in 3/4 cups is 210 calories.
Number of calories in 3/4 cupYou can use direct proportion to solve for this by assuming that the calories in 3/4 cups is x:
1 / 2 : 140 calories
3 / 4 : x
Cross multiplying would give:
1/2x = 105
x = 105 ÷ 1/2
x = 210 calories
In conclusion, there would be 210 calories in 3/4 cups.
Find out more on direct proportion at https://brainly.com/question/1266676.
ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST
Answer:
y = -1/4x - 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Find points from the graph.
Point (-4, -5)
y-intercept (0, -6)
Step 2: Find slope m
Substitute: [tex]m=\frac{-6+5}{0+4}[/tex]Add: [tex]m=\frac{-1}{4}[/tex]Step 3: Write linear function
y = -1/4x - 6
Answer quick please !!
Answer:
B -- give brainliest pls
Step-by-step explanation:
can someone please help me with this problem!!
Answer:
Step-by-step explanation:
the bat is 12. the pumpkin is 5. and the weird looking thing is 14
14 plus 14 plus 12 is 40
12 minus 5 is 7
5 plus 14 is 19
14 minus 5 plus 12 is 21
Answer:
21
Step-by-step explanation:
Green bat: x
Purple bat: y
Pumpkin: z
Given:
2x + y = 40
y - z = 7 ===> y = 7 + z
z + x = 19 ===> z = 19 - x
Substitution to find green bat x:
2x + y = 40
2x + (7 + z) = 40
2x + 7 + z = 40
2x + 7 + (19 - x) = 40
2x + 7 + 19 - x = 40
x + 26 = 40
green bat: x = 14
Substitution to find pumpkin z:
z + x = 19
z + (14) = 19
z + 14 = 19
pumpkin: z = 5
Substitution to find purple bat y:
y - z = 7
y - (5) = 7
y - 5 = 7
purple bat: y = 12
Solve for x - z + y:
14 - 5 + 12 = 21
Challenger Elementary School has 800 students. Every Wednesday, 12% of the students stay after school for Chess Club. How many students attend on Wednesday’s?
Answer:
96 students attend chess club after school on Wednesday's.
Step-by-step explanation:
To solve this problem, simply multiply 800 x 0.12.
800 x 0.12 = 96
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!
Answer:
[tex]\huge\boxed{\text{96 students}}[/tex]
Step-by-step explanation:
In order to find how many students stay back for Chess Club, we want to find 12% of 800.
To do this, we can set up a percentage proportion.
[tex]\frac{12}{100} = \frac{x}{800}[/tex]
We can now solve for x by cross multiplying.
[tex]800 \cdot 12 = 9600\\9600 \div 100 = 96[/tex]
So, 96 students attend Chess Club on Wednesdays.
Hope this helped!
pls help me with this inequality: 4x ≤ 2(x + 3) + 4
Answer: x≤ 5
Step-by-step explanatiion= hope it helps
Rich and Betsy Cuik started a small business. They manufacture a microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains spring water and ground coffee beans in a tea-bag-like pouch. Each cup costs the company $1.00 to manufacture. The fixed costs for this product line are $1,500. Rich and Betsy have determined the demand function to be q = -1,000p + 8,500, where p is the price for each cup.
Write the expense equation in terms of the demand, q.
Express the expense equation found in part (a) in terms of the price, p.
Answer: E= 1.00q + 1,500
Step-by-step explanation:
what is the value of this question below when y =7
2y^2+9y+2 (^ that sign is the square btw more questions comingg)
Answer:
163
Step-by-step explanation:
2y^2
=2(7^2)
=2(49)
=98
9y
=9(7)
=63
98+63+2
=163
PLS GIVE BRAINLIEST
Answer:
163
Step-by-step explanation:
Plug into parenthesis
2(7)^2+9(7)+2
plug into calculator
answer = 163
The temperature at 2 am was -12 degrees. At noon the temperature had risen 16 degrees. At 4 pm the temp dropped 8 degrees. What was the temperature at 4 pm
Answer: - 4
because The temperature at 2 am was -12 degrees and At noon the temperature had risen 16 degrees
=> the temperature at noon was -12 + 16 = 4 (degrees)
At 4 pm the temp dropped 8 degrees => the temperature at 4 pm was:
4 - 8 = -4 (degrees)
Step-by-step explanation:
Solve the simultaneous equations 5+2y=11 -5x+4y=13 pleas help
Answer:
x=5 y=-2.
Step-by-step explanation:
Which of the suns below can be expressed as 6(3+9)
Answer: the answer is 72
Step-by-step explanation: add 3+9 in the parenthesis. 3+9=12Then multiply 12 and 6 which is 72
