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
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
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?
Answer:
If the question is saying that length is 7x, then the answer (width) is x-2
HELPPPPPPPPPPPPPPPPPPPPP
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
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))
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
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)
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
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
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)
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
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
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?
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.
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
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.
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
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
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
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
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?
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?
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?
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
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
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
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
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)
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
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?
Answer: -6y= -3x-9
Since the slope is -6
y will be -6y
and the rest is -9, -3x