Answer:
Radius length: √5
Standard Form (Equation): (x + 4)^2 + y^2 = 5
Step-by-step explanation:
First we will determine the radius;
Center: (-4, 0)
Point on Circumference: (-2, 1)
d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2
= √4 + 1 = √5
Therefore the radius is of length √5
Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.
Answer:
its C. (x + 4)² + y² = 5
Step-by-step explanation:
edge
A realtor found a home for a couple that will require a monthly loan payment of $1460. If the lender insists that the buyer's monthly payment not exceed 28% of the buyer's monthly income
find the minimum monthly income required by the lender. Simply your answer.
Answer:
The minimum monthly income required by the lender is $5214.30
Step-by-step explanation:
Here, we want to calculate the minimum monthly income required by the lender
From the question, we have that the monthly payment must not exceed 28% of the buyer’s monthly income
So in this case, let the monthly income be x
So therefore;
28% of x = 1460
Thus;
28/100 * x = 1460
28x = 100 * 1460
x = (100 * 1460)/28
x = 5214.30
A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?
Answer:
280
Step-by-step explanation:
subtract
Answer:300
Step-by-step explanation:
how many times can 23 go into 26
Answer: 1.13043478 times
Step-by-step explanation:
help pllsss :p and merry christmas or happy Hanukkah
Answer:
104
Step-by-step explanation:
156 divided by 6. 156-26=130. now 20 percent of 130 =26. 130-26 = 104
Solve for x:
3x – 2 (5 – x) = 30
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3x - 2(5 - x) = 30
Step 2: Solve for x
Distribute -2: 3x - 10 + 2x = 30Combine like terms: 5x - 10 = 30Isolate x term: 5x = 40Isolate x: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8) - 2(5 - 8) = 30Multiply: 24 - 2(5 - 8) = 30Subtract: 24 - 2(-3) = 30Multiply: 24 + 6 = 30Add: 30 = 30Here we see that 30 does indeed equal 30.
∴ x = 8 is the solution to the equation.
At McCord Middle school, 40 percent of the 500 students ride their bikes or walk home. How many students ride their bikes or walk to school A. 12 B. 80 C. 200 or D. 2,000 it is not D. tho
Answer:
200
Step-by-step explanation:
C
You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st. What will your rent be at the end of this year?
Answer:
$892.50
Step-by-step explanation:
Samuel scored a 32.5/40 on his most recent math test what percent did he earn in the test round to the nearest whole percent
Answer: 81%
Step-by-step explanation:
From the question, we are informed that Samuel scored a 32.5/40 on his most recent math test.
Based on the values given, to convert it to percentage, we have to multiply the score by 100. This will be:
= 32.5/40 × 100
= 3250/40
= 81.25%
= 81% to nearest whole number
Which of the following system of inequalities is the graph below?
HELP ME PLEASE !!!
Answer:
2nd answer choice
Step-by-step explanation:
First, you see which inequalities are represented in the graph. When doing this, I just temporarily the signs to equal signs so just basically ignore the inequalities. Then, when you find the ones with the right numbers, you can worry about the inequalities. Remember that greater than is always the side where the y values increase and less than is always where the numbers on the y axis decrease. Also, pay attention to the equal than sign. If it has a line under the sign, the line has to be solid while if there is no line, then it is dashed. In this problem, The first equation represents the dashed line and the second is the solid line.
Solve 0.2(4x+10)−0.9x=0.2(x−6)+12.2 . Justify each step.
Answer:
x = -30
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2
Step 2: Solve for x
Distribute 0.2: 0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2Combine like terms: -0.1x + 2 = 0.2x + 11Add 0.1x on both sides: 2 = 0.3x + 11Isolate x term: -9 = 0.3xIsolate x: -30 = xRewrite: x = -30Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2Multiply: 0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2Add/Subtract: 0.2(-110) + 27 = 0.2(-36) + 12.2Multiply: -22 + 27 = -7.2 + 12.2Add: 5 = 5Here we see that 5 does indeed equal 5.
∴ x = -30 is the solution to the equation.
1 3/8 ÷ 1 2/3
quotient in lowest terms
Answer:
=33/40
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
118÷53
Applying the fractions formula for division,
=11×38×5
=33/40
=33/40
What is the value of x in the solution to the system of equations? 4x - 2y = 5 y = 3x - 1
Answer:
X = 7
Step-by-step explanation:
Please mark brainliest.
Answer:
[tex]\huge\boxed{\sf x = -2}[/tex]
Step-by-step explanation:
4x - 2y = 5 -------------------------------(1)
y = 3x - 1 ----------------------------------(2)
Put Eq. (2) in (1)
4x - 2(3x-1) = 5
4x - 6x + 1 = 5
-2x + 1 = 5
Subtracting 1 to both sides
-2x = 5 - 1
-2x = 4
Dividing both sides by -2
x = 4 / -2
x = -2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper18074
Mathematical
9. PRACTICE Model Math The
table shows the lengths of four
trails at a horseback riding camp.
Estimate the total length of all the
trails.
Answer:
11
need more characters
Stacy's Weekly salary is $1516.52 what is her annual salary?
Answer:
Does she get paid once every week?
Step-by-step explanation:
A car wash detailed 256 cars in 8 hours. At what rate did the car wash detail
cars in cars per hour?
O A. 31 cars per hour
O B. 33 cars per hour
O C. 32 cars per hour
O D. 30 cars per hour
I NEED HELP IF YOU DONT KNOW THE ANSWER DONT COMMENT.
Please help me
Answer:
Yeah
Step-by-step explanation:
1. understand time management
2. Value time.
3. use time wisely
4. take advantage of the opportunity of extra time.
5. smile, it's all linear! : )
Cherries cost $2.50 per pound and mangoes cost $3 per pound. Kal bought a total of 7 pounds of cherries and mangoes for $20. Write a system of equations to represent the situation.
Answer:
x + y = 7
2.5x + 3y = 20
Step-by-step explanation:
cherries = $2.5 per pound
mangoes = $3 per pound
7 pounds of cherries & mangoes for $20
unkown x number of pounds in cherries
unknown y number of pounds in mangoes
x + y = 7
2.5x + 3y = 20
5/8 divided by 1 1/3? In fraction form
Answer:
15/32
Step-by-step explanation:
15/32 is the fraction form of the statement 5/8 divided by 1 1/3.
To divide 5/8 by 1 1/3, we first need to convert the mixed number 1 1/3 to an improper fraction.
1 1/3 can be written as (3/3 + 1/3), which simplifies to 4/3.
Now, we can rewrite the division as the multiplication of the dividend by the reciprocal of the divisor:
(5/8) * (3/4)
Multiplying the numerators and denominators:
(5 * 3) / (8 * 4) = 15/32
Therefore, 5/8 divided by 1 1/3 in fraction form is equal to 15/32.
Learn more about ratios here:
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If gym strong charges a $350 fee and $15 a month and gym fit charges $100 fee and $24 a month, how many months would take for gym string to be a better buy?
Answer:
It would take 28 months for Gym Strong to be a better buy.
Step-by-step explanation:
There are two possible options for gyms to choose from:
Gym Strong charges $350 plus $15 a month
Gym Fit charges $100 plus $24 a month.
Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.
Let's solve this by analyzing the differences in fixed fees and monthly fees.
The difference of fixed fees is $350 - $100 = $250
The difference on monthly fees is $24 - $15 = $9
Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.
It would take 28 months for Gym Strong to be a better buy.
Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form.
An acid is prepared by mixing 400 mL of water and 100 mL of pure sulfuric acid. What is the
percentage by volume composition of sulfuric acid?
A. 15 %
B. 20%
C.25%
D.30%
Which house and decorations is better
Answer:
The First house, also has a bigger bed! :)
Step-by-step explanation:
Answer: the first one hi Nana if u keep getting friend request ignore it im tryna make a bunch of acc but tell josh 2 talk 2 me
Step-by-step explanation:
What is a GEM math program?
Answer:
Gifted European Mathematicians (G.E.M.) project
Step-by-step explanation:
hope it is correct
A box contains 4 blue chips and 5 black chips. If two chips are drawn at random with replacement, what is the probability that both will be blue
Answer:
Step-by-step explanation:
divide the number of blue chips over the total chips
the probability that first one will be blue 4/9
the probability that second one will be blue 4/8
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you have?
Answer:
21
Step-by-step explanation:
15 divided by 5 is 3
7 times 3 = 21
Answer - There are 21 chocolate chip cookies.
The graph of relation v is shown. Which of the following graphs represents the relation and its inverse?
Step-by-step explanation:
The relation and its inverse (if it exists) must be symmetrical about the line y = x.
Hence the answer is the 2nd from the top.
Answer:
Second option
Step-by-step explanation:
PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24
Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
What is the solution(s) to the equation? Use algebra only, no graphing.
(5x + 15)(x - 7) = 0
Answer:
x = -3, x = 7
Step-by-step explanation:
( 5x + 15 ) ( x - 7 ) = 0
5x + 15 = 0
5x = -15
x = -3
x - 7 = 0
x = 7
Answer:
x=−3 or x=7
Step-by-step explanation:
(5x+15)(x-7)=0
5x2−20x−105=0
5(x+3)(x−7)=0
x+3=0 or x−7=0
x=−3 or x=7
Help!! 10 pts and brainliest!
Answer:
25 times larger
Step-by-step explanation:
hope this helped
Arrange the expressions in increasing order of their values.
cos(52.5°)cos(7.5°)
sin(52.5°)cos(7.5°)
sin(52.5°)sin(7.5°)
cos(52.5°)sin(7.5°)
Answer:
cos(52.5°)sin(7.5°)
sin(52.5°)sin(7.5°)
cos(52.5°)cos(7.5°)
sin(52.5°)cos(7.5°)
In increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).
What are Expressions ?Statements that have more than one term and a variable is connected to another variable by a mathematical operator are called Expressions.
The expression given are
cos(52.5°)cos(7.5°)
sin(52.5°)cos(7.5°)
sin(52.5°)sin(7.5°)
cos(52.5°)sin(7.5°)
To arrange them into increasing order , the value of it has to be determined.
cos(52.5°)cos(7.5°) = 0.6088 * 0.9914 = 0.6036
sin(52.5°)cos(7.5°)= 0.7933*0.9914 = 0.7865
sin(52.5°)sin(7.5°)= 0.7933*0.1305 = 0.1035
cos(52.5°)sin(7.5°)= 0.6088*0.1305= 0.07945
Therefore in Increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).
To know more about Expressions
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