A shop charges $4.95 for a large 9-ounce frozen
yogurt.
What is the cost per ounce of the frozen yogurt?
Answer: $0.55
Step-by-step explanation:
$4.95/9=$0.55 ( 1 ounce frozen yogurt)
A shop charges $4.95 for 9 ounces frozen yogurt, then the cost of per ounce yogurt is $0.55.
What is an arithmetic operation?Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given data in the question,
Price of 9 ounce yogurt = $4.95
Then,
The cost of per ounce of yogurt = 4.95/9 = $0.55.
To know more about arithmetic operations:
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an auto dealership got a new shipment of 33 cars. Of these, two are red , 6-cylinder 4 door sedans; one is a red 4-door, but not a 6-cylinder sedan. There are four 6-cylinder 4-door sedans that are not red, and three red 6-cylinder sedans that are not 4-door sedans. Altogether, 19 of the 33 cars are 6-cylinder sedans and 12 of the 33 are 4-door sedans. How many of the 33 cars are red but neither 6-cylinder nor 4-door sedans?
Answer:
2
Step-by-step explanation:
If you take 19 6-cylinder sedans and add 12 4-door sedans you get 31, therefore making 2 red and neither 6-cylinder nor 4-door sedans. Hope this helps!
A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find
the perimeter of the sector.
Answer:
Approximately [tex]68.5\; \rm mm[/tex].
Step-by-step explanation:
Convert the angle of this sector to radians:
[tex]\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}[/tex].
The formula [tex]s = r\, \theta[/tex] relates the arc length [tex]s[/tex] of a sector of angle [tex]\theta[/tex] (in radians) to the radius [tex]r[/tex] of this sector.
In this question, it is given that the arc length of this sector is [tex]s = 36\; \rm mm[/tex]. It was found that [tex]\theta = 2.22[/tex] radians. Rearrange the equation [tex]s = r\, \theta[/tex] to find the radius [tex]r[/tex] of this sector:
[tex]\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}[/tex].
The perimeter of this sector would be:
[tex]\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}[/tex].
Two trains, Train A and Train B, weigh a total of 378 tons. Train A is heavier than Train B. The difference of their weights is 210 tons. What is the weight of each train?
Answer:
Train A is 294 tons and Train B is 84 tons
Step-by-step explanation:
You can create a system of equations
A+B=378
A-B=210
Adding both would get
2A=588
2A/2=588/2
A=294
Now plug that in to the second equation (either is fine)
294-B=210
B=84
Check
294+84=378
Step-by-step explanation:
Let,
Weight of train A = x
Weight of train B = y
x + y = 378 (1)
x - y = 210 (2)
Now,
On adding 1 and 2
x + y + x - y = 378 + 210
2x = 588
x = 588/2
x = 294 tons
From 1
294 + y = 378
y = 378 - 294
y = 84 tons
Michele
wants to save $150 for a trip to the Sox Flags amusement park. she saves $12 each week, how
weeks will it take her to save enough money for the tri?
Answer:
Twelve and a half weeks
Step-by-step explanation:
Answer:
12 and a half weeks
Step-by-step explanation:
150/12=12 and a half since she takes 7 days to earn 12 dollars, 12x12 and 1/2=150
I need help on this. I've no idea about this. Please help me...
Answer:
Answers are below.
Step-by-step explanation:
Hope this helps:)
the product of 20 and z
Answer:
20z
Step-by-step explanation:
just times 20*z which give you 20z
Find the value of x.
Answer:
Value of [tex]x=-12[/tex]
Step-by-step explanation:
The given triangle is isosceles
Here
[tex]m\angle2+m\angle2+36^0=180^0\\\\2m\angle2=144^0\\\\m\angle2=72^0\\\\x+84=72\\\\x=72-84\\\\=-12[/tex]
[tex]m∠2+m∠2+36⁰= 180°[/tex]
[tex]2m∠2 = 144°[/tex]
[tex]m∠2 = 72⁰[/tex]
[tex]x +84 = 72[/tex]
[tex]x = 72 - 84[/tex]
[tex]x= -12[/tex]
please help what is 4.651-50.3
Mr Page uses oil to heat his home.
At the beginning of November there were 1000 litres of oil in his oil tank.
Mr Page bought enough oil to fill the tank completely.
He paid 50p per litre for this oil.
He paid a total amount of £750
At the end of February Mr Page had 600 litres of oil in the tank.
He bought enough oil to fill the tank completely.
The cost of oil had increased by 4%.
Work out the total amount Mr Page paid for the oil he bought in February.
The total amount Mr Page paid for the oil he bought in February was $21,580.
Since Mr Page uses oil to heat his home, and at the beginning of November there were 1000 liters of oil in his oil tank, and Mr Page bought enough oil to fill the tank completely, and he has paid $50 per liter for this oil, and he has paid a total amount of $750, while at the end of February Mr Page had 600 liters of oil in the tank, and he has bought enough oil to fill the tank completely, and the cost of oil had increased by 4%, to determine the total amount Mr Page paid for the oil he bought in February, the following calculation must be performed:
1000 + (750 / 50) = X1000 + 15 = X1015 = X1015 - 600 = 415415 x (50 x 1.04) = X415 x 52 = X21,580 = XTherefore, the total amount Mr Page paid for the oil he bought in February was $21,580.
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P(x)=−.002x2+2.5x−700
Answer:
P = − 0.002x + 2.5 − 700 over x
Step-by-step explanation:
What is (0,1) and (4,2) in slope intercept form
Answer:
y = 0.25x+1
Step-by-step explanation:
Y= mx+b
m= 0.25
b= 1
hope this helps
Write the equation of a line that is perpendicular y=-2 And that passes through the point (8,-4)
Answer:
y=1/2-8
Step-by-step explanation:
slope is 1/2
-4-y=1/2(8-x)
-4-y=4-1/2
-y=-1/2+8
y=1/2-8
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
-21z-35t+21g
Step-by-step explanation:
Use the distributive property of multiplication to distribute -7 to 3, 5, and -3. -7*3 is -21, so we are left with -21z. -7*5 is -35, so we are left with -35t. Finally, -7*-3 is 21, so we are left with +21g
What is the value of the expression [−18+(−22)]−43+12?
Answer:
-71
Step-by-step explanation:
Answer:
-71
Step-by-step explanation:
[-18+(-22)]-43+12
=(-18+22)-43+12
=-40-43+12
=-83+12
=-71
HELP HURRY PLS
What is the equation of this line?
y =2/3x
y=3/2x
y= -2/3x
y= -3/2x
Answer:
y = 2/3x
Step-by-step explanation:
Combine like terms.
6p+ 15 + 10p - 9
A. 16p+ 6
B. 16p+ 24
Ос. бр +6
O D. 16p - 6
Answer:
i think A. 16p+6 is answer
What is 5 1/4 ➗ -2 1/2 equal to?
Answer:
-2.1
Step-by-step explanation:
Answer:
Hi, I hope i'll help you.
Step-by-step explanation:
The answer is 2.1, hope it helps!
H(x)=(x+5)^2 if we solve h(x)=36
One of the possible values of x is 1
What is the other possible value of x?
Answer:
x = - 11
Step-by-step explanation:
Solving
(x + 5)² = 36 ( take square root of both sides )
x + 5 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 5 from both sides )
x = - 5 ± 6
Then
x = - 5 + 6 = 1
x = - 5 - 6 = - 11
The other solution is x = - 11
Gabriel purchases a rug priced at $475. With sales tax, the total comes out to $513. What is the sales tax percentage?
Answer:
The tax is 8%
Step-by-step explanation:
Take the final price and subtract the original price
513-475 = 38
Divide by the original price
38/475 =.08
Change to percent form
8%
The tax is 8%
1. Which of the following is not an undefined term in
Euclidean geometry?
a. plane
b. point
c. bisector
d. line
Answer:
c. bisector
Explanation:
"There are, however, three words in geometry that are not formally defined. These words are point, line and plane, and are referred to as the 'three undefined terms of geometry'"
If point, line, and plane are all undefined terms in Euclidean geometry, then that only leaves one answer left, c. bisector.
here is the next question jj
Answer:
3.7 and east.
Step-by-step explanation:
Answer:
3.7 and east
Hope this helps! Good luck!! :)
A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Answer:
Step-by-step explanationcvm
Answer:
25
25+1.25x
Step-by-step explanation:
At least you got an actual answer this time hope this helps
Please help me Find the slope please no links or bots please and thank you please actually help me please
Answer:
-1/2
Step-by-step explanation:
The first point is (-3,0) and the second point is (-1,-1). To find slope you do change in y over change in x. So (-1-0)/(-1--3) or -1/2 which is your slope.
HELP IM REALLY BEHIND ON MY MATH THE RIGHT ANSWER WILL GET BRAINLIEST
Answer:
N=3
Step-by-step explanation:
use cross multiplication to find 28N=84 and then divide both sides by 28 to get N=3
Answer:
N = 3
Step-by-step explanation:
Given Δ ABC is similar to Δ DEF , then the ratios of corresponding sides are in proportion, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{21}{N}[/tex] = [tex]\frac{28}{4}[/tex] = 7 ( multiply both sides by N to clear the fraction )
21 = 7N ( divide both sides by 7 )
3 = N
While Jayden was at school, his house lost electrical power. By
the time the electrical power came back on the temperature inside the
house was 86°F. The air conditioner immediately started to cool the
house.Let f(x) represent the temperature, in degrees Fahrenheit, of
Jayden's house x minutes after the air conditioner started to cool the
house.What is the meaning of the statement f(25)=78?
Answer:
after 25 minutes the temperature was at 78 degrees
Step-by-step explanation:
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeee ty :)
We know the equation.
=> y = mx + bWe also know the y-intercept is -1.
=> y = mx - 1All we need to do now is to find the slope. We know the slope formula.
=> Rise/Run = Slope=> 4/6 = Slope=> 2/3 = SlopeConclusion:Therefore, our equation is y = 2x/3 - 1
Hoped this helped.
[tex]BrainiacUser1357[/tex]
A rental car company charges $33.73 per day to rent a car and $0.06 for every mile
driven. Elizabeth wants to rent a car, knowing that:
She plans to drive 450 miles.
• She has at most $430 to spend.
•
Which inequality can be used to determine x, the maximum number of days
Elizabeth can afford to rent for while staying within her budget?
Answer:
430 > 33.73x + 27 ----> x < 11
Step-by-step explanation:
The inequality describes the total amount that can be spent for a whole number of days. To solve for the number of days, solve for x (x<11.95). Because she can't rent for only a part of a day, and because she can't spend more than $430, the inequality becomes x<11.
Answer:
Step-by-step explanation:
33.73x + 27 <= 430
0.06 is for every mile. She plans to drive 450 miles. So 0.06 times 450. Which is 27.
Then your have the 33.73 for each day for the rent of the car. We don't know how many days so we'll just put x.
Which of the following is an equation of a line perpendicular to the equation
y - 3x +1?
O A = - 3x + 5
B. y --3x+5
O C. y -3x5
O D. y = x+5
Answer:
There is something wrong in the answer options. Please check the equations and formatting.
Step-by-step explanation:
Assuming the referenced equation is y = 3x + 1 (and not y - 3x + 1), we can say the following.
This is written in the form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
The slope, as I've written it, is 3. Parallel lines will have the same slope (but a different b). Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line. In this case, it would have a slope of -(1/3).
None of the answer options come close to this. So something is wrong in the question, unless "NONE" is an option.
There are 81 calories in a 0.75 cup serving of chicken noodle soup. How many calories are in a 2 cup serving?
Answer:
162Step-by-step explanation:
There are 81 calories in a 0.75 cup serving of chicken noodle soup. How many calories are in a 2 cup serving?
0.75*2=2 cups
81*2=162
Answer:
x = 216
Step-by-step explanation:
[tex]\frac{81}{0.75}[/tex] = [tex]\frac{?}{2}[/tex]
I hope this helps!!