Answer:
x = c/(A + b)
A + b ≠ 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
FactoringStep-by-step explanation:
Step 1: Define
Ax + bx = c
Step 1: Solve for x
Factor: x(A + b) = cIsolate x: x = c/(A + b)We know that we cannot divide by 0, so A + b cannot equal 0.
the
The shape of a garden is rectangular in the middle and semi circular
at the ends as shown in the diagram. Find the area and the perimeter
Т.
of this garden [Length of rectangle is
7m 20-(3.5 +3.59 metres).
1
DI
20 m
Answer:
[tex]Area = 129.5m^2[/tex]
[tex]Perimeter = 48m[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the area and the perimeter of the garden
Calculating Area
First, we calculate the [tex]area\ of\ the\ rectangle[/tex]
[tex]A_1 = L * B[/tex]
Where:
[tex]L = 20-(3.5 +3.5)[/tex]
[tex]B = 7[/tex]
So:
[tex]A_1 = (20 - (3.5 + 3.5)) * 7[/tex]
[tex]A_1 = (20 - 7) * 7[/tex]
[tex]A_1 = 13 * 7[/tex]
[tex]A_1 = 91[/tex]
Next, we calculate the area of the two semi-circles.
Two semi-circles = One Circle
So:
[tex]A_2 = \pi r^2[/tex]
Where
[tex]r = \frac{7}{2}[/tex]
[tex]A_2 = \frac{22}{7} * (\frac{7}{2})^2[/tex]
[tex]A_2 = \frac{22}{7} * \frac{49}{4}[/tex]
[tex]A_2 = \frac{22}{1} * \frac{7}{4}[/tex]
[tex]A_2 = \frac{22*7}{4}[/tex]
[tex]A_2 = \frac{154}{4}[/tex]
[tex]A_2 = 38.5[/tex]
Area of the garden is
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 91 + 38.5[/tex]
[tex]Area = 129.5m^2[/tex]
Calculating Perimeter
First, we calculate the perimeter of the rectangle
But in this case, we only consider the length because the widths have been covered by the semicircles
[tex]P_1 = 2 * L[/tex]
Where:
[tex]L = 20-(3.5 +3.5)[/tex]
So:
[tex]P_1 =2 * (20-(3.5 +3.5))[/tex]
[tex]P_1 =2 * (20-7)[/tex]
[tex]P_1 =2 * 13[/tex]
[tex]P_1 =26[/tex]
Next, we calculate the perimeter of the two semi-circles.
Two semi-circles = One Circle
So:
[tex]P_2 = 2\pi r[/tex]
Where
[tex]r = \frac{7}{2}[/tex]
[tex]P_2 = 2 * \frac{22}{7} * \frac{7}{2}[/tex]
[tex]P_2 = \frac{2 * 22 * 7}{7 * 2}[/tex]
[tex]P_2 = \frac{308}{14}[/tex]
[tex]P_2 = 22[/tex]
Perimeter of the garden is
[tex]Perimeter = P_1 + P_2[/tex]
[tex]Perimeter = 26 + 22[/tex]
[tex]Perimeter = 48m[/tex]
If it takes 5 gallons of gas to drive 125 miles, how many miles can be driven using 8 gallons of gas? (GIVE ONLY NUMERICAL ANSWER)
PLSSSS HELPPPPP ASAP
Write this percentage as a fraction in its simplest form.
24%
Answer:
6/25
Step-by-step explanation:
24/100=12/50=6/25
Answer:
[tex]\huge\boxed{\sf \frac{6}{25} }[/tex]
Step-by-step explanation:
[tex]\sf = 24 \%\\\\\% \ means \ out \ of \ 100\\\\= \frac{24}{100}\\\\= \frac{12}{50} \\\\= \frac{6}{25} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807How many terms are in the expression 4x2 + y - 0 ?
help pleaseeee
Answer:
3 I did the test to btw
Step-by-step explanation:
did the test
I NEED HELP ASAP PLEASE HURRY
Marc wants to buy a bestselling book and a DVD of the movie based on the book. He has $30 to spend. Find the estimated total cost of the two items by rounding their prices to the nearest dollar. Will Marc be able to purchase both items with the money he has?
Prices, including taxes: Book: $10.58 and DVD: $19.50
The estimated total to the nearest dollar is $29, so he can afford both items.
The estimated total to the nearest dollar is $31, so he can afford both items.
The estimated total to the nearest dollar is $29, so he cannot afford both items.
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Answer:
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Step-by-step explanation:
10.58 rounded is 11
19.50 rounded is 20
11+20=31
Answer:
I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo
that would equal 31.00, and he only has 30.00 to spend.
So I would say D.
Step-by-step explanation:
In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the of the earth.
a. perimeter
c. volume
d. diameter
b. area
Answer: perimeter
Step-by-step explanation:
On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?
Answer:
x=2
2 games.
Step-by-step explanation:
3 + 4.50x = A
6 + 3x = A
3 + 4.5(2) = 12
6 + 3(2) = 12
"What is the equation of the line parallel to the given line with an x-intercept of 4?"
y = __x + __
Need help asap not really good with these types of questions
Step-by-step explanation:
AC = AD result : given (Side congruence)
CB = DB result: given (Side congruence)
AB =AB result : reflexive property (side congruence)
ACB=ADB (SSS)
A rectangular garden is 45 feet long and has perimeter 150 feet. Rows
of plants are planted 3 feet apart. Find the area of the garden.
42.5 subtract 7.32? Please help me with his question?
Step-by-step explanation:
42.4
-
7.32
----
move the decimal
42.40
07.32
-------
35.08
On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many
2-point questions as 5-point questions on the test. How many 2-point questions are on the test?
•8
•4
•12
•16
Answer:
B. 8
Step-by-step explanation:
Calculate how many 2 point answers and 5 point answers there are.
2 x 8 = 16
Since there are half as many 5 point answers as there are 2 point answers,
5 x 4 = 20
calculate how many remaining questions there are. The numbers would be 8 since you had 8 2 point questions and 4 since half of 8 is four.
8 + 4 = 12
Subtract that number by the total questions, which is 28.
28 - 12 = 16
Next figure out how many 4 point questions you had (28-12=16)
16 x 4 = 64
To check your work add up the totals and see if they match up to 100.
16 + 20 + 64 = 100
Step-by-step explanation:
If 28 parrots and 79 bunnies were in the same shelter what is the rate of parrots to bunnies?
and if u delete that i can say u guys were deleting actual questions- and have proof too ha.
seriously again im not mean irl
Answer:
79/28
Step-by-step explanation:
i have no clue-
For every | | cats in the pet store, there are | | dogs.
Help plss
Answer:
for every one cat there are 4 dogs
Step-by-step explanation:
11 : 44
11÷1 : 44÷11
1 : 4
What is the solution of the equation 70 = 1.4y ?
The solution of the equation 70 = 1.4y is 50.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 70 = 1.4y.
Seventy equal to one point four y.
In the given equation the variable is y.
We need to solve for the y.
70 = 1.4y.
Divide both sides by 1.4
70/1.4=y
Seventy divided by one point four equal to y
50=y
The value of y is fifty.
Hence, the solution of the equation 70 = 1.4y is 50.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Choose
1. Identify the y-intercept of the line with the given equation. y= 3x + 12
A) x
B) y
C) 3
D) 12
On Miss Gless iPhone, she has 400 songs 24 of those songs are country songs. What percent of her songs are not country?
Your answer:
help o_o
Answer:
94%
Step-by-step explanation:
Equivalent ratios are ratios that contain different numbers but express the same relationship between the quantities they're comparing. Ratios are equivalent if there's a positive number that can be multiplied by both quantities in one ratio to get the corresponding quantities in the second ratio. For example, imagine you're making hot sauce that calls for chile peppers and tomatoes in a ratio of 1:2. If you put in 1 chili pepper, you'll need to put in 2 tomatoes. If you put in 2 chili peppers, you'll need to put in 4 tomatoes to keep the ratio the same. You can multiply both numbers in the first ratio by 2 to get the corresponding numbers in the second ratio: 1 × 2 = 2 2 × 2 = 4 The ratios show the same relationship between chili peppers and tomatoes. Which of these ratios is equivalent to 2:3? A 2:6 B 4:6 C 3:2 D 3:4
Answer:
B 4:6
Step-by-step explanation:
Which of these ratios is equivalent to 2:3?
2 : 3 = 2/3
Check all that applies
A 2:6
= 2/6
= 1/3
= 1 : 3
B 4:6
= 4/6
= 2/3
= 2 : 3
C 3:2
= 3/2
= 3 : 2
D 3:4
= 3/4
= 3 : 4
The correct answer is B 4 : 6
Which of the following statements correctly explains whether or not the two figures are congruent?
Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.
Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.
Step-by-step explanation: I just took the test
plz help i will mark you as brainlist
Answer:
C. Six is to the left of the zero and negative six is to the right.
Step-by-step explanation:
Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.
If the bowl weighs 520 grams when it holds 15 tablespoons of sugar and 680 grams when it holds 26 tablespoons of sugar, what is the rate of change of the weight of the bowl with regards to the tablespoons of sugar?
Answer:
1.5 grams per tablespoon
I need an answer to What is: p - 10 = 5
Answer:
P would be substituted with 15, so the equation would be accurate
Step-by-step explanation:
Which function is equivalent to f(x) = -4(x + 7) – 6?
Answer:
f(x) = - 4x - 34
Step-by-step explanation:
Given
f(x) = - 4(x + 7) - 6 ← distribute parenthesis
= - 4x - 28 - 6 ← collect like terms
= - 4x - 34
please help ASAP!!!!!!
A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 56 had a mild allergic reaction. What percent of the people had a mild reaction?
Answer: 0.007%
you divide 56% by 8,000 and you get 0.00007
then you multiply it by 100 and you get 0.007
so its 0.007%
If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST
Answer:
-160
Step-by-step explanation:
All you have to do is substitute -2 for all values of x!
Is that last x raised to the power of 4 (looks like [tex]x^4[/tex])?
If so, the equation is:
[tex]f(-2)=2(-2-3)(-2)^4[/tex]
2(-5)(16)
-10(16)
-160
HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer
Answer:
9
Step-by-step explanation:
Show work on this smart people
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
Find the measure of the numbered angle.
m∠1 =
Answer:
∠1 = 50°Step-by-step explanation:
right triangle.
∠1 = 180 - 90 - 40
∠1 = 50°