Container 1 has 174 lires of oil, Container 2 has 258 litres of oil. Sam pours entire contents of container 1 into smaller jars, so that the oil completely fills the jars and there is no oil left. He also pours the entire contents of container 2 into the same size jars so that there is no oil left. What can the maximum size of the smaller jars be?

Answers

Answer 1

Answer:

The maximum size of the smaller jars is 6 liters

Step-by-step explanation:

Container 1=174 liters of oil

Container 2=258 liters of oil

Same pours the entire content of container one and container 2 into the same number of smaller jars

The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258

Factors of 174=1,2,3,6,29

Factors of 258=1,2,3,6,43

Common factors of 174 and 258=1,2,3 and 6

Highest common factor=6

Therefore,

The maximum size of the smaller jars is 6 liters


Related Questions

Choose two values, a and b, each between 8 and 15. Show how to use the identity a^3+b^3=(a+b)(a^2-ab+b^2) to calculate the sum of the cubes of your numbers without using a calculator

Answers

Answer:

[tex]\large \boxed{\sf \ \ 9^3+10^3=1729 \ \ }[/tex]

Step-by-step explanation:

Hello, I choose 9 and 10, so I can write

[tex]9^3+10^3=(9+10)(9^2-9*10+10^2)=(10+9)(81-90+100)=10*91+9*91=910+819=1729[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Help :(

Yun was trying to factor 7x^2- 14x. He found that the greatest common factor of these terms was 7x and made an area model:


What is the width of Yun's area model?​

Answers

Answer:

If the question is saying that length is 7x, then the answer (width) is x-2

HELPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

its 147

Step-by-step explanation:

yes

The probability that a plane departs on time at a certain airport is .87 The probability that a plane arrives on time given it departed on time is .93 Find the probability that a plane departed and arrived in time. Write answer to four decimals. 3 points

Answers

Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

P(A) = 0.87

P(B|A) = 0.93

P(B) = ?

P(A n B) = ?

Mathematically;

P(B|A) = P(B nA)/P(A)

0.93 = 0.87/P(A)

P(A) = 0.87/0.93

P(A) = 0.935483870967742

which is 0.9355 to four decimal places

Find the value of f(g(-2))

Answers

Answer:

The correct ans is 3.

g(-2) = 2(-2) + 5

=-4 + 5 = 1

f(g(-2)) = 4 - (1)^2

= 4 - 1

=3

Step-by-step explanation:

Please help need this done ASAP ​

Answers

Answer:

a) 56548.7 cm³

b) 13 minutes

Step-by-step explanation:

a) The volume will be 2/3 pi r³ (which is the given formula divided by 2 since we only have half a sphere)

Fill in r=30 gives: 56548.7 cm³

b) 56548.7 cm³ divided by 4500 cm³/min = 12.6 ≈ 13 minutes

If Andrew has $72 in his wallet, what is the largest number of bags of sugar he can afford? (Each bag of sugar costs $6.33)

Answers

Answer:

11 bags

Step-by-step explanation:

$72/6.33=11.3744075829 or 11.4

11.4 estimate= 11

Answer:

11 bags of sugar

Step-by-step explanation:

In order to find the answer to this question simply divide the amount of money Andrew has by the amount of money it cost per bag of sugar.

[tex]S=6.33[/tex]

[tex]W=72[/tex]

[tex]72\div6.33=11.3744075829[/tex]

Round:

[tex]=11[/tex]

Hope this helps.

URGET PLEASE HELP QUICKLY
Find the constant of variation k for the direct variation. x f ( x ) 0 0 2 –1 4 -2 7 -3.5

Answers

Answer: -0.5.

Step-by-step explanation:

The constant of variation k for the direct variation is given by:-

[tex]k= \dfrac{f(x_2)}{x_2}=\dfrac{f(x_1)}{x_1}[/tex]

The given table:

x  f( x )

0   0

2   -1

4    -2

7   -3.5

Then,

[tex]k=\dfrac{-1}{2}=\dfrac{-2}{4}=\dfrac{7}{-3.5}=-0.5[/tex]

Hence, the constant of variation k for the direct variation is -0.5.

The perpendicular distance of (2, -4) from x axis is

Answers

Answer:

hope it helps

Step-by-step explanation:

ans = -4

Answer:

4

Step-by-step explanation:

Let A be the point wich coordinates are (2, -4)

-4 is the ordinate (y)

To find the distance from the x axis use the absolute value.

D (the distance) = | -4| = 4

The distance from the x-axis is 4

Consider the line . y = 7/3x +2 Find the equation of the line that is parallel to this line and passes through the point . (-9,4) Find the equation of the line that is perpendicular to this line and passes through the point (-9,4)

Answers

Answer:

parallel lines have the same slope. so your new equation will be y = 7/3x + b

to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.

a. 4 = (7/3)(-9) + b

b. 4 = -21 + b

c. b = 4 +21

d. b = 25

your equation is y = 7/3x + 25

perpendicular lines have reciprocated slopes. so your new equation will be y = -3/7x + b

to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.

a. 4 = (-3/7)(-9) + b

b. 4 = (27/7) + b

c. b = 4 - (27/7)

i. (112/28) - (108/28) = 4/28

d. b = 1/7

your equation is y = -3/7x + 1/7

hope this helps :)

HELP PLEASE! Thank you

Answers

Answer:

2000

Step-by-step explanation:

Hello,

A or C means 2 ways

and then a digit means 10 ways 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

so in total we have 2*10*10*10 = 2000 possible codes

Hope this helps

2 questions in the 2 pictures and then im done thank you

Answers

Answer:

Hey there!

For the first question we use the triangle area formula: 1/2bh, or 1/2(8)(5). This gives us 20 for the area.

For the second question we get a trapezoid, since the cross section does not pass through the vertex.

Hope this helps :)

Which phrase refers to the legal act of lowering an individual’s tax liability?Which phrase refers to the legal act of lowering an individual’s tax liability?

Answers

Answer:

Tax avoidance - legal

Tax evasion - illegal

Based on the diagram , P, Q, R and S are four vertices of a regular polygon with centre O.
1)Given OP is perpendicular to OS,determine the number of sides of the regular polygon.

Answers

Answer:

Is it 12?Yes,I think it's 12.

An insurance firm reported that "the typical water-skiing accident occurs near the dock from which they start." Which of the following statistical measurements are they most likely discussing? A. median B. mode C. mean D. range

Answers

Answer: D. range

Step-by-step explanation:

To measure the center of the tendency we use Mean , median or mode depends on the type of data.

But when we discuss about the distance between the initial point and the final point in a data , we use 'range' as term for this.

Range= distance between initial and final point.

here, range = distance between the starting point and the point where water-skiing accident occurs.

Hence, the correct option is D. range

In the figure ABCD is a parallelogram. P, Q, R and S are the midpoint of the sides of the parallelogram. Prove that PQ = RS and QR = PS.

Answers

Answer:

ΔRCQ = ΔAPS

QR = PS (CPCTC)

ΔSRD ≅ ΔQPB

PQ = RS (CPCTC)

Step-by-step explanation:

Given that ABCD is a parallelogram, we have;

AD = BC, and DC = AB (Definition of a parallelogram)

AD = AS + SD Given S is midpoint of AD

Similarly,

DC = DR + RC

BC = BQ + QC

AB = AP + PB

RC = DR = AP = PB

BQ = QC = QC = BQ  segments on either sides of midpoint

∠BCA = ∠DAB (opposite interior angles of a parallelogram)

ΔRQC ≅ ΔSPA

ΔRCQ = ΔAPS (Side Angle Side SAS rule of congruency)

Therefore, segment QR = segment PS (QR = PS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Similarly we have;

∠CDA = ∠CBA (opposite interior angles of a parallelogram)

ΔSRD ≅ ΔQPB (opposite interior angles of a parallelogram)

Therefore, segment PQ = segment RS (PQ = RS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC).

Can any kind soul help me ​

Answers

Answer:

a) 4.50m/s²

b) v= 21

c) 11.25m/s

Step-by-step explanation:

a) rate of change of speed in first 2 seconds

= gradient of graph from t=0s to t=2s

The two points are (0,0) and (2,9).

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Rate of change of speed

[tex] = \frac{9 - 0}{2 - 0} \\ = \frac{9}{2} \\ = 4.50m/ {s}^{2} [/tex]

Total distance= area under graph

Distance travelled for first 6s

= area of traingle +area of rectangle

= ½(2)(9) +(6-2)(9)

= 9 + 4(9)

= 9 +36

= 45m

Distance travelled from t=6s to t=12s

= 135 -45

= 90m

Area under graph from t=6s to t=12s =90

Area of trapezium= 90

½(A +B)(h)= 90

½(9+ v)(6)= 90

3(9 +v)= 90 (simplify)

9 +v= 30 (÷3 throughout)

v= 30 -9

v= 21

c) Average speed

= total distance ÷total time

= 135 ÷12

= 11.25 m/s

PLEASE HELP
A hire purchase agreement offers gym equipment, with a marked price
$897, for $87 deposit and $46.80 a month payable over 2 years.
Calculate :
a) the total hire-purchase price
b) the amount of
amount of interest charged

Answers

Answer: a) $1,210.20     b) $313.20

Step-by-step explanation:

a) $87 down + $46.80(24 months) = $1,210.20 total paid

b) $1,210.20 - $897.00 = $313.20 interest paid

If a watch store paid $125 per watch for a shipment of watches, and sold all but 15 watches from the shipment for $150 per watch, then, in terms of the number of watches in the shipment, y, what function describes the watch store’s profit, P, from the sales?
A) P(y) = 125(y – 15) – 150y
B) P(y) = 15(125 – y) – 150y
C) P(y) = 150(y – 15) – 125y
D) P(y) = 15(150 – y) – 125y

Answers

Answer: C) P(y) = 150(y – 15) – 125y

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Profit = revenue - cost

Cost: a watch store paid $125 per watch for a shipment of watches

Cost = 125 y

Where y is the number of watches in the shipment

Revenue: sold all but 15 watches from the shipment for $150 per watch

Revenue = 150(y-15)

Profit(y) = 150(y – 15) – 125y

So, the correct option is:

C) P(y) = 150(y – 15) – 125y

Feel free to ask for more if needed or if you did not understand something.

1
English
TIME REMAINING
58:10
The radius of the large sphere is double the radius of
the small sphere.
How many times is the volume of the large sphere than
the small sphere?
O 2
4
6
08

Answers

Answer

2

Step-by-step explanation

The radius of the large sphere is double the radius of the small sphere

Plz.. Help me.. True or false?

Answers

Answer:

[tex]\boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

[tex](p-q)^2[/tex]

[tex](p-q)(p-q)[/tex]

Use FOIL method.

[tex]p^2-pq-pq +q^2[/tex]

[tex]p^2-2pq +q^2[/tex]

You want to buy a new sweater. The regular price was
$48 dollars. The sale price was $34. What was the
percent of discount to the nearest percent?

Answers

Answer:

29%

Step-by-step explanation:

48-34 = 14 dollar saving

14/48 = 29.17 % = 29% saving

Answer:

29%

Step-by-step explanation:

48-34= 14 dollar saving

14/48 = 29.17% = 29% saving

Ms. delilio borrowed 1,200 from a bank for 3 months at 12% annual interest. How much interest did she pay?

Answers

Answer: $36

Step-by-step explanation:

When taking a loan from a bank, we have to pay interest. The Simple Interest Formula is:

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

Principal (P) is the borrowed amount.

Interest Rate (r) is the percent of the principal to be paid.

Time (t) is the length of time that money is borrowed.

If Ms. Delilio borrowed $1,200 at an interest rate of 12% per year, for 3 months:

First, we have to convert 3 months into years

3 months = 3/12 =0.25 years

Then, find the interest by using the formula

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

In this example

P = $1200

I = 12%

t = 0.25 years

Then:

I = 1200 × 0.12 × 0.25

I = 36

Answer:  $36

Step-by-step explanation:

3/12x1200x0.12=36

SIMPLE INTEREST FORMULA

TIME(ALWAYS IN YEARS)FOR EXAMPLE 4 MONTH WOULD BE 4/12 SINCE THERE ARE 12 MONTH IN 1 YEAR

DIVIDE BY 100 FOR INTEREST SHOWN

AND MULTIPLY TO SOLVE

Match each quadratic graph to its respective function

Answers

Answer:

f(x) = (x - 3)(x + 1) → Corresponds with the first (raised higher ) ∪ shaped graph

f(x) = -2(x - 1)((x + 3) → Corresponds with the ∩ shaped graph

f(x) = 0.5(x - 6)((x + 2) → Corresponds with the second (lower) ∪ shaped graph

Step-by-step explanation:

For the function f(x) = (x - 3)(x + 1)

We have;

When x = 0, y = -3

When y = 0 x = 3 or -1

Comparing with the graphs, it best suits the first ∪ shaped graph  that rises here than the other ∪ shaped graph

For the function;

f(x) = -2(x - 1)((x + 3)

When x = 0, y = 6

When y = 0, x = 1 or -3

Which corresponds with the ∩ shaped graph

For the function;

f(x) = 2(x + 6)((x - 2)

When x = 0, y = -24

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = 0.5(x - 6)((x + 2)

When x = 0, y = -6

When y = 0, x = 6 or -2

Which best suits the second ∪ shaped graph  that is lower than the other (first) ∪ shaped graph

For the function;

f(x) = 0.5(x + 6)((x - 2)

When x = 0, y = -6

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = (x + 3)((x - 1)

When x = 0, y = -3

When y = 0, x = -3 or 1

Graph not included

Answer:

The guy above me was right. i accidently put in the answers in the wrong order so i thought it was wrong and rated it 1 star

Step-by-step explanation:

HELP IF YOURE GOOD IN MATH AND CAN DO THIS PLEASEEEE. THANK YOU SM

Answers

Answer:

Period : 2π

Maximum: 2

Minimum: -4

y-intercept: (0,-1)

Amplitude: 3

When does the max occur: x=π/2

When does the min occur: x =3π/2

Equation of Axis: y = -1

What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.







5.8 ft
6.3 ft
27.5 ft
69.1 ft

Answers

Answer:

69.1 ft

Step-by-step explanation:

A circle has 360 degrees.

The arc we are finding the length of is 330 degrees.

Its length is 11/12 of the circle's total circumference. (330/360=33/36=11/12)

Let's find the circumference of the entire circle.

Circumference is πd.

The radius of the circle is 12ft.

Diameter is double of radius.

12*2=24

The diameter is 24.

Plug that in.

24π=75.36 when using 3.14 for π

Multiply that by 11/12.

11/12*75.36=69.08

Round 69.08 to nearest tenth.

69.1

Keywords:

Circle

Circumference

Arc

Diameter

Radius

Learn more about arc length here:

https://brainly.com/question/16930503

what is 92.5% of 200​

Answers

Answer:

185

Step-by-step explanation:

All you have to do is multiply 200 by 92.5/100 (because it is 92.5%). This gives you 185.

Hope this helps!

Answer:

185

We know 92.5% of 100 is 92.5%, so 92.5 of 200 is just 92.5×2.

Which properties would you use to simplify the following expression? log (17x3)

Answers

Answer:

Step-by-step explanation:

Did you mean log (17*3)?  If so, your log (17x3) becomes log 17 + log 3.

Did you mean  log 17^3?  If so, log 17^3 = 3 log 17.

Did you mean log 17*x*3?  If so, this equals log 17 + log x + log 3

Answer:

C: 1 and 3

Step-by-step explanation:

EDGE2021

Which expression can be used to find the surface area of the following square pyramid?A 16+16+55+55+8816+16+55+55+8816, plus, 16, plus, 55, plus, 55, plus, 88 (Choice B) B 10+10+55+55+8810+10+55+55+8810, plus, 10, plus, 55, plus, 55, plus, 88 (Choice C) C 8 +8+55+55+888+8+55+55+888, plus, 8, plus, 55, plus, 55, plus, 88 (Choice D) D 16+8816+8816, plus, 88

Answers

Answer:

4 + 3+3+3+3

Step-by-step explanation:

We add up all the areas to find the surface area

The bottom is

2*2 = 4

The sides are all the same

The area of one side is

A = 1/2 bh =  1/2 (2*3) = 3

There are 4 triangular side

SA = 4 + 3+3+3+3

Answer:

4 + 3 + 3 + 3 + 3

Step-by-step explanation:

The base is a square.

Find area of a square.

2² = 4

Find the area of one triangle.

2 × 3 × 1/2 = 3

There are 4 triangles.

3 + 3 + 3 + 3

Add all the areas:

4 + 3 + 3 + 3 + 3

Which equation represents a line that passes through (-9, -3) and had a slope of -6?

Answers

Answer: -6y= -3x-9

Since the slope is -6

y will be -6y

and the rest is -9, -3x

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