Given:
Coordinates of point C are (-3,6).
Point B(0,5.5) is the midpoint of AC.
To find:
The coordinates of A.
Solution:
Let the coordinates of point A are (a,b).
Formula for midpoint:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the above formula, the midpoint of A(a,b) and C(-3,6) is
[tex]B=\left(\dfrac{a+(-3)}{2},\dfrac{b+6}{2}\right)[/tex]
[tex](0,5.5)=\left(\dfrac{a-3}{2},\dfrac{b+6}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{a-3}{2}=0[/tex]
[tex]a-3=0[/tex]
[tex]a=3[/tex]
and,
[tex]\dfrac{b+6}{2}=5.5[/tex]
[tex]b+6=11[/tex]
[tex]b=11-6[/tex]
[tex]b=5[/tex]
Therefore, the coordinates of point A are (3,5).
A. Calculate the circumference of each circle described. Use | [ 3.14 and
round to the nearest hundredth.
1. The diameter of a circle is 6 centimeters.
Answer:
18.84cm
Step-by-step explanation:
C=πd
C=3.14×6
C=18.84cm
SIMPLE QUESTION, 25 PTS: The cities G, H, and I, in respective order, lie approximately in a straight line. The distance from city G to city H is 72 miles. The distance from city G to city I is 92 miles. Find the distance from city H to city I.
Hey there! I'm happy to help!
From G to I is the total distance of the line (92). G to H is the first portion of the line (72) while H to I is the other portion.
To find H to I, simply subtract 72 from 92!
92-72=20
The distance from city H to city I is 20 miles.
Have a wonderful day! :D
Answer:
20
Step-by-step explanation:
2/3x = 6
A. x = 9
B. x = 4
C. x = 18
D. x = 12
Answer:
x = 9
Step-by-step explanation:
2/3x = 6
Multiply each side by 3/2
3/2 * 2/3x = 6 * 3/2
x = 18/2
x = 9
Hanson has 38 pieces of candy. He gives away c of the pieces. Write an expression that
shows the number of pieces of candy Hanson has left.
Answer:
38-c
Step-by-step explanation:
We know that the answer is 38-c because any piece of candy that Hanson gives away will be subtracted from the amount that he started out with.
Give two real-world situations that could be represented by the value 30
Answer:
1) I went shopping and I saw a dress and i went to the check out line and the lady told me that my total with be 30 dollars
2) It was my birthday and i took all my birthday cards and i counted all my money i got.. the total was 30$.
Step-by-step explanation:
Evaluate the expression for p = –2.4 and q = –4. Write your answer as a decimal or whole number. pq − p =
Which point represents the approximate location of 28?
A) point A
B) point B
C) point C
D) point D
Answer:
a.
Step-by-step explanation:
It appears to be increasing in increments of ten
write the inverse of f(x) = x + 5
Answer:
f^-1(x) = x - 5
Step-by-step explanation:
f(x) = x + 5
y = x + 5
x = y + 5
y = x - 5
f^-1(x) = x - 5
Answer:
f^ -1(x) = x - 5
Step-by-step explanation:
y =x+5
To find the inverse, exchange x and y
x = y+5
Solve for y
Subtract 5 from each side
x-5 = y+5-5
x-5 = y
The inverse is x-5
Given point (-6, -2) and a slope of 5, write an equation in slope-intercept form.
Answer:
y = 5x + 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5 , thus
y = 5x + c ← is the partial equation
To find c substitute (- 6, - 2) into the partial equation
- 2 = - 30 + c ⇒ c = - 2 + 30 = 28
y = 5x + 28 ← equation of line
Sally is having a party and she has invited nine of her friends.
She is going to make a special non-alcoholic fruit punch for them all
to drink. Sally wants to make enough fruit punch for herself
and all her friends to have one glass each.
Sallys Fruit Punch Recipe.
The recipe below makes enough
fruit punch for 1 person.
1/2 lime
1/2 lemon
100ml pineapple juice 200ml lemonade 100ml orange juice
1) How much of each ingredient will she need?
Limes
Lemons Pineapple juice Lemonade Orange juice
Cost of ingredients:
Pineapple Juice
Lemons 50 each
Limes 40c each
Lemonade (2 liter bottle) $1.60
Orange juice (1 liter carton) 80c
Pineapoe juice (1 liter carton) 90c
Answer:
1) 5 limes, 5 lemons, 1,000 mL of pineapple juice, 2,000 mL of lemonade, 1,000 of orange juice
2) Limes = $2, Lemons = $2.5, Lemonade = $1.60, Orange Juice = 80c, Pineapple Juice = 90c
Step-by-step explanation:
1/2 limes · 10 = 5
1/2 lemons · 10 = 5
100 mL of pineapple juice · 10 = 1,000 mL
200 mL of lemonade · 10 = 2,000 mL
100 mL of orange juice · 10 = 1,000 mL
Cost:
5 limes · 0.4 = $2
5 lemons · 0.5 = $2.5
mL to L
1,000 mL of pineapple juice = 1 L, this costs 90¢
2,000 mL of lemonade = 2 L, this costs $1.60
1,000 mL of orange juice = 1 L, this costs 80¢
Overall:
5 limes for $2
5 lemons for $2.5
1 L of of pineapple juice for 90¢
2 L of lemonade for $1.60
1 L of orange juice for 80¢
If I add 8.0g of sugar to a cup of tea, and have 2 cups of tea in the morning, how much sugar will I have consumed from drinking tea?
Answer:
16 grams
Step-by-step explanation:
multiply 8.0 grams x 2 cups.
Answer: 16 grams
Step-by-step explanation: 8.0 times 2 is 16. So you drank 16 grams of sugar in 2 cups of tea
Which expression represents the prime factorization of 450? A. 2 x 3 x 5 x 5 B. 2 x 2 x 5 x 5 C. 2 x 3 x 3 x 5 x 5 D. 2 x 2 x 3 x 5 x 5
Answer:
c
Step-by-step explanation:
The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.
It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
The given number is as follows:
450
We need to write 450 as the product of its prime factors, which is 450.
⇒ 450 = 2 x 3 x 3 x 5 x 5
Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.
Therefore, the correct answer is option C.
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If one kilogram equals 2.2 pounds how many kilograms equal 112 pounds
Answer & Step-by-step explanation:
Assuming that there is a constant rate of change, we can use the equation:
[tex]y=kx[/tex]
k is the constant rate of change. Set up an equation in which the pounds are determined by the rate of change between kilograms and pounds:
[tex]1=k(2.2)[/tex]
Isolate the variable k:
[tex]\frac{1}{2.2}=\frac{k(2.2)}{2.2}\\\\\frac{1}{2.2}=k[/tex]
Set up another equation like so:
[tex]\frac{y}{x}=\frac{y}{x}[/tex]
Insert values:
[tex]\frac{1}{2.2}=\frac{y}{112}[/tex]
Solve for y. Cross multiply:
[tex]1(112)=2.2y\\\\112=2.2y[/tex]
Isolate the variable. Divide both sides by 2.2:
[tex]\frac{112}{2.2}=\frac{2.2y}{2.2} \\\\ y=50.9090...[/tex]
So, there are about 50.9 kilograms in 112 pounds.
:Done
Pablo has saved $40 to buy a Nintendo switch that costs $310.
If he can save $15 each week
, how many weeks will it take Pablo
to save enough to buy the Nintendo Switch?
A. What is the problem about?
B. What is the problem asking you
find?
C. Solve the problem and explain how you get your answer.
to
Answer:
18 weeks
Step-by-step explanation:
Part A:
The problem is about Pablo saving up money to buy a nintendo switch.
Part B:
The problem is asking you how many weeks it will take to have enough money for the Nintendo switch.
Part C
Equation: 40 + 15w = 310
310 - 40 = 270
270/15 = 18
18 weeks
Hopefully this helps you :)
pls mark brainlest ;)
Math Comprehension
Convert 77º F into kelvins.
Answer:
298.15 K
Step-by-step explanation:
is the product of a positive number and a negative number a positive
Answer:
Hey there!
False. The product of a positive number and a negative number is always NEGATIVE.
Let me know if this helps :)
Answer:
FALSE
Step-by-step explanation:
When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.
emily bought 3 vases of flowers.the most expensive vase of flowers was 12.00 and least expensive was 8.00 which is a reasonable total amount emily could have paid for the 3 vases of flowers
Answer:$30
Step-by-step explanation:8+12=20 and I would figure she had another one with a price inbetween the two so I chose 10 and added 20+10=30
Jesse runs a 26-mile race in 5 hours. LJ runs a 15-mile race in 2 hours. Who runs at a slower rate?
Answer: Jesse
because i guess i divided the number you could do it however 15 divided by 2 = 7.5 and 26 divided by 5 = 5.2
Answer:
Jesse is the slower rate.
Step-by-step explanation:
The slower rate is going to be determined by the distance divided by the time.
Jesse: 26 / 5 = 5.2 miles / hour
LJ: 15 / 2 = 7.5 miles / hour
Jesse is the slower rate.
Which features describe the graph? Select all that apply. Group of answer choices positive: (–2, 2) range: (–3, 4] domain: (–3, 3] decreasing: (–1, 4) negative: (–3, –2), (2, 5] increasing: (–3, –1)
Answer:
A,B,C,F
Step-by-step explanation:
The correct answer would be options (A), (B), (C), and (F)
(A) positive: (–2, 2)
(B) range: (–3, 4]
(C) domain: (–3, 3]
(F) increasing: (–3, –1)
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
The vertical span of the range is from y > -3 to y = 3. The interval for this is [(-3, 3].
The horizontal range, from x > -3 to x = +4, represents the domain. This is represented by the interval [(-3, 4].
The graph decreases to the right, it gets smaller. There is no mention of the endpoints. The x values are in the range (-1, 4).
The graph is increasing where it goes up to the right. The endpoints are generally not included. The x-values are in the interval (-3, -1).
The region of the graph that is above the x-axis is positive. The interval contains x. (-2, 2).
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Sonjesa found a job in advertising that pays a yearly salary of $47,300. What is her weekly salary?
$6,757.14
$909.62
$985.42
$3,941.67
Answer:
$909.62
Explanation:
If Sonjesa makes $47,300 a year and in a year there are 52 weeks we do the equation...
$47,300 / 52 weeks = weekly salary
47300 / 52 = 909.615
If we round that equals $909.62
Hope this helps!
Which expressions are polynomials??
Answer:
Options (1) and (2)
Step-by-step explanation:
Properties of a polynomial,
1). A polynomial having division by a variable can't be defined as a polynomial.
Example:
(y² + [tex]\frac{x}{1+x}[/tex])
2). A polynomial can't have a negative exponent.
Example : [tex](x^{-2}+y-6)[/tex]
3). Polynomials don't have the radicals.
Example : y² + x√3
4). A polynomial can't have a fraction exponent.
Example : [tex]x^2+x^{\frac{1}{2}}-1[/tex]
By these properties, Options (3) and (4) are not the polynomials.
Options (1) and (2) are the correct options.
Help!!!!!! Put the circle with the greatest area on top. circumference = 30 diameter = 3 radius = 10
Answer:
10 , 30 , 3
Step-by-step explanation:
Your radius: 10 is the greatest
The circumference is 30 that came from 10 x 3( diameter x radius)
and the diameter is 3 which is the smallest
A store sells candles.
• The retail price was a 45% markup
over the manufacturer price.
• A month later, the store reduced the
retail price of the candles by 20
percent.
What percent markup is the new retail
price over the manufacturer price?
Answer:
25%
Step-by-step explanation:
If you start at 45% and it reduces by 20% you are just doing 45-20 which equals 25. (Please let me know if im wrong)
16 percent markup is the new retail price over the manufacturer price.
Here,
A store sells candles.
Retail price will be 45% marked-up
A month later, store reduced the retail price of the candles by 20%.
We have to find the percent markup.
What is the percentage?
The percentage is the value per hundred.
Now,
Consider the manufacturer price = 100x
Retail price will be 45% marked-up
Hence, 100x+45% of 100x = 145x
Reduced retail price of the ladder after one month = 145x-145x*20/100
Reduced retail price of the ladder after one month = 116x
Percentage markup of the reduced retail price over the manufacturer price will be:
={(reduced retail price - manufacturer price)/manufacturer price} *100
=[ (116x-100x)/100x ] *100 = 16%
Hence, 16 percent markup is the new retail price over the manufacturer price.
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can someone please do this by applying the distributive property
Emily's Mom sends her into the store with $10, telling her to buy as many apples as possible. If each apple costs 80 cents. how much change (in cents) will Emily receive?
Answer:
Emily will receive 40 cents in return
Find the solution to the equation or inequality below. You must type in the entire solution, for example x=5 if it is an equation or x>5 if it is an inequality.
5x - 9 = 26
Can someone please answer the two questions circled :>
Answer:
For question 2 the slope is 1. So what you do is get the points you need to put on the graph and move them up one. Like how you did on question 1.
(0.5, 5) (1, 10) (1.5, 15) (2, 20) (2.5, 25)
Question 3 is the same thing but the slope is now 2. Then you would have to pin the points as...
(1, 2) (2, 4) (3, 6) (4, 8) (5, 10)
Hope this helped :)
Elizabeth tested how high 5 different brands of new tennis balls would bounce when dropped
from a height of 2 meters. She dropped the balls so that they hit the same floor tile each time.
Independent variable: I
Dependent variable:
Answer: The independant variable is the type of tennis ball. The dependent variable is how high the ball bounces.
Step-by-step explanation:
Your air conditioner hasn’t been working properly, so you decide to set up an appointment to have it fixed. The repair company tells you that it costs $99 for a one time service fee plus $50 every hour. The technician came to your house and determined the drain was clogged. The total bill came to $549. Write an equation that represents this situation. (do not use any spaces in your equation & use the letter "x" to represent your variable)
Answer:
[tex]99 + 50x = 549[/tex]
Alternatively you can write it as;
[tex]50x - 450 = 0[/tex]
Step-by-step explanation:
One time service fee=$99
Rate of service=$50/hour
let unknown hours=x
Therefore the equation is
[tex]99 + 50x = 549[/tex]
or you can further simplify it to:
[tex]50x - 450 = 0[/tex]
And you can then solve for x to be 9 hours.
a. If a bus travels 6km in to minutes, what
distance does it travel in Isecondo
Answer:
60 second
Step-by-step explanation:
6km into minutes
1 minutes is 60 second