9514 1404 393
Answer:
a) 720°
b) 98
Step-by-step explanation:
a) The sum of interior angles of an n-gon is (n-2)×180°. For n=6, the sum is ...
(6 -2)×180° = 4×180° = 720°
__
b) The sum of the marked angles is 622°, so the value of x is ...
x = 720 -622
x = 98
Gonzalo is trying to find the unit price On a 6-pack of orange juice on sale for $6.99. His sister says that at that price, each bottle of orange juice would cost over $1.05. Is she correct?
Answer:
Yes
Step-by-step explanation:
Unit prices come from dividing the price, $6.99, by the amount of product, 6,
6.99 ÷ 6 = 1.165
Now, because you cannot have more than two digits in the cents part, you would round that up to $1.17 which is over $1.05 dollars per bottle.
Katherine went to dinner with her mother that same day of shopping. their total bill was $34.80. the sales tax is 6%. if they left a 25% tip, how much was their total bill?
Tax- ?
Tip- ?
How much was their total bill with tax and tip added(hundredths place)
Answer:
45.58
Step-by-step explanation:
Tax is 2.08
Tip is 8.7
Hope this helped
3) This decimal is colored to show
1
At a real estate agency, an agent sold a house for $360,000. The commission rate is 25% for the real estate agency and the commission rate for the agent is 30% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer: See explanation
Step-by-step explanation:
a. The amount that the agency make on the house will be 25% of $360,000. This will be:
= 25% × $360,000
= 25/100 × $360,000
= 0.25 × $360,000
= $90,000
b. The amount that the agent earn in commission will be:
= 30% × $90,000
= 30/100 × $90,000
= 0.3 × $90,000
= $27,000
If f ( x ) = 3x + 2 and g ( x ) = 2x - 2, find f ( x ) g ( x )
Select one:
a. 6x 2 - 2x - 4
b. 6x 2 + 2x + 4
c. No solution
d. 5x 2
Answer:
[tex]f(x)g(x) = (3x + 2)(2x - 2) \\ = 6 {x}^{2} - 6x + 4x - 4 \\ = \boxed{6 {x}^{2}- 2x - 4} \\ a. \: is \: the \: right \: answer[/tex]
What is the equation, in point-slope form, of the line passing through the point (-6, -2) with a slope of 3/5?
Answer:
this is a required equation.
find the value of x
Answer:20
Step-by-step explanation:
x=20(congruent side)
Hope it helped you.
Plz mark me brainliest.
Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?
Answer:
6364 cases
6364 bottles are left
Step-by-step explanation:
From the question, we are given the following
Total bottles of water = 8500bottles
Total cases filled = 2136cases
Required
Number of cases Jane can film with the remaining bottle.
Number of cases Jane can fill = 8500-2136
Number of cases Jane can fill with the remaining bottle= 6364 cases
Number of bottles left = number of cases Jane have left to fill.
Hence;
Number of bottles left = 6364 bottles
For the following system of equations, the value of x is______
The system of equation is x + 3y = 6
6x - 6y = 4
PLEASE HELP!!
Answer: x = 2, y = 4/2
Step-by-step explanation:
Solve the System of Equations
x + 3y = 6 6x − 6y = 4
Subtract 3y from both sides of the equation.
x = 6 − 3y 6x − 6y = 4
Replace all occurrences of x with 6 − 3y in each e quation.
Replace all occurrences of x in 6x − 6y = 4 with 6 − 3y.
6 (6 − 3y) − 6y = 4
x = 6 − 3y
Simplify 6 (6 − 3y) − 6y.
36 − 24y = 4
x = 6 − 3y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
−24y = −32
x = 6 − 3y
Divide each term by −24 and simplify.
y = 4/3
x = 6 − 3y
Replace all occurrences of y with 4/3 in each equation.
Replace all occurrences of y in x = 6 − 3y with 4/3
x = 6 − 3 ( 3 )
y= 4/3
Simplify 6 − 3 ( 4 )
x = 2
y = 4/3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2, 4 /3 )
The result can be shown in multiple forms.
Point Form: 2, 4 /3
Equation Form: x = 2, y = 3
What’s 10 percent of 40 percent
Answer:
4
Step-by-step explanation:
What is 10 percent of 40? = 4.
Answer:
0.04
Step-by-step explanation:
6 identical toys weigh 1.8kg. a) convert 1.8kg to grams. b) what is the weight of one toy? Give your answer in grams. c) how much would 4 toys weigh? Give your answer in kilograms
Answer: a) 1800g b) 300g c) 1200g
Step-by-step explanation:
a) 1.8 x 1000 = 1800g
b) 1800g / 6 toys= 300g > the weight of one toy
c) 300g x 4 toys = 1200g / 1000 = 1.2 kg
Answer:
a. 1.8kg to grams
1000g =1kg
x =1.8kg
cross multiply
x = 1.8 x 1000
x= 1800g
b. weight of one toy
6 toys = 1800g
1 toy = 1800÷6
1 toy = 300g
c. 1kg = 300g
4toys = x
x = 4 x 300
x = 1200g
1200g to kilogram
1000g = 1kg
1200g = x
cross multiply
1000x = 1200
x = 1200÷1000
x = 1.2kg
A hemispherical tank is filled with water and has a diameter of 14 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?
Answer:
[tex]44,826.72\ \text{pounds}[/tex]
Step-by-step explanation:
Given that,
The diameter of a hemispherical tank= 14 feet
Radius, r = 7 feet
water
Water weighs 62.4 pounds per cubic foot.
We need to find the total weight of the water in a full tank to the nearest pound.
The volume of the hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]
If water weighs 62.4 pounds per cubic foot, it means
[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]
So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].
-10 = -0.2k
k = ?
solve for k
Answer:
-10 = -0.2k
we multiply both sides by 5
-50 = -k
k = 50
Step-by-step explanation:
What is the domain and range if the equation is y= x^2 -2x -8
Answer:
Domain :
R (all real numbers)
Range :
{y element R : y>=-9}
what is preferred stock
Answer:
A form of stock which may have any combination of features not possessed by common stock including properties of both an equity and a debt instrument, and is generally considered a hybrid instrument.
Step-by-step explanation:
Do my boys got me? Also giving brainliest ! Need D, E, and F
Answer:
Darn, I could have helped you but I'll leave it to the boys :) goodluck!!
Deborah bought a computer for 25% off the list price. If the list price is $2,428, how much did Deborah spend? A. $607 B. $1,821 C. $2,115 D. $2,403
Answer:
Option A, [tex]\$607[/tex]
Step-by-step explanation:
Given: Deborah bought a computer for [tex]25\%[/tex] off the list price.
The list price is [tex]\$2,428[/tex].
To find: The amount Deborah spent on the computer.
Solution: We have,
List price of the computer [tex]=\$2,428[/tex].
Deborah bought the computer for [tex]25\%[/tex] off the list price.
The amount Deborah spent on the computer [tex]=25\% \times 2,428[/tex]
[tex]=\frac{25}{100}\times2428=\frac{2428}{4} =\$ 607[/tex].
So, Deborah spent [tex]\$607[/tex] on the computer.
Hence, option A is correct.
(HELP NEEDED PLEASE) A claw arcade machine contains stuffed animals and mystery boxes. There are 44 items in the machine. Winning a stuffed animal has three times as many favorable outcomes as winning a mystery box. How many of each item is in the machine?
Please help me with this..
An ounce of almonds costs $1.40. If Joey buys 2.4 ounces of almonds, how much will he have to pay?
Answer:
Joey will pay $3.36 for 2.4 ounces of almonds.
Step-by-step explanation:
Given that:
Cost of almonds = $1.40 per ounces
Number of ounces bought by Joey = 2.4 ounces
Cost of 2.4 ounces = Ounces of almond * Cost per ounce of almond
Cost of 2.4 ounces = 2.4 * 1.40
Cost of 2.4 ounces = $3.36
Hence,
Joey will pay $3.36 for 2.4 ounces of almonds.
Determine if the triangles are congruent. If so, state what postulate proves that they are congruent.
Question 24 options:
The triangles cannot be proven congruent.
SAS
SSS
AAS
ASA
HL
Answer:
I believe it's SAS, but I am not 100% sure. I say this because you see the angle then in between is a side then another angle
Which expression shows 10 less than a
number n?
A n + 10
B 10•n
C 10-n
Dn-10
Answer:
D
Step-by-step explanation:
I hope this helps you with your question :)
Answer:
d
Step-by-step explanation:
n - 10
Because you are trying to find 10 less than n, so you would want to subtract 10
Hope this Helps!!!
I NEED HELP PLS HURRY
Answer:
4th option
Step-by-step explanation:
Help me!! ASAP!! Plss just help me :( I will give u BRAINLYEST!!
Come up with a real world situation that would involve finding the area of a circle.
What is .09375 as a fraction
Answer:
.09375 as a fraction is [tex]\frac{3}{32}[/tex]
0.09375 as a fraction in its lowest form is 3/32.
To convert the decimal number 0.09375 into a fraction, we can express it as the numerator over the appropriate power of 10 in the denominator.
The decimal number 0.09375 can be written as 9375/100000.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).
In this case, the GCD of 9375 and 100000 is 3125,
So, we can divide both numbers by 3125:
= 9375 ÷ 3125 / 100000 ÷ 3125
= 3/32
Therefore, 0.09375 as a fraction in its lowest form is 3/32.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ6
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9
Answer:
3,6,-1,5, and -4
Step-by-step explanation:
Domains is the X
Answer:
hi
Step-by-step explanation:hi
CAN SOMEONE PLEASE HELP ME???!!!
Answer:
D. The graph has a positive rate of change
Step-by-step explanation:
The graph's slope, or rate of change, is positive, which means that D is your answer.
Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess.
Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct?
Yes, Shawn has guessed well so far, so it is clear that he cannot miss.
No, all of the cards have been blue so far, so the next one must also be blue.
Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue.
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Answer:
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
edge 2020
20 POINTS!!!
Write the algebraic expression or equation that represents the following word problem. **DO NOT EVALUATE OR SOLVE
Rene has a $50 gift card from a local coffee shop. Each day, he buys the same latte which costs $4.25. When will he have $11.75 left on his card?
Answer:
50-4.25x=11.75
Step-by-step explanation:
So first rene has 50 dollars and has 11.75 left eventually, so that indicates this is a subtraction problem. Also Rene buys a latte cost 4.25 dollars for a certain amount of days so let x represent amount of days and your equation should be 50-4.25x=11.75
help pleseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee i think i spelled that wrong
but stillplese help