Answer:
24
Step-by-step explanation:
The greatest number of trays the caterer can split the 72 ham sandwiches and 48 pimento cheese sandwiches into can be determined by calculating the highest common factor and 48 and 72
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors of 72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
the highest common factor is 48 ad 72 is 24
Circumference of a circle with a diameter of 15 inches.
Answer:
Cir = d[tex]\pi[/tex]
C = 15[tex]\pi[/tex]
Step-by-step explanation:
Answer:
Exact Answer: 15π inches
Decimal Answer: 47.1 inches
Step-by-step explanation:
The unit is inches because circumference is one dimension.
1.) Circumference Formula: 2πr or dπ⇒d=diamater ⇒r=radius
2.) dπ=15π
3.) 15 × 3.14⇒approximate answer
For each journey between work and home, Arjun uses 1.3 gallons of petrol. Arjun has 52 litres of petrol in his car. How many complete journeys between work and home can he do?
1 gallon = 4.5 litres.
Answer: 9 full journeys
Step-by-step explanation:
4.5 litres * 1.3 gallons = 5.8 litres of petrol
52 litres ÷ 5.8 litres of petrol = 8.9 journeys ≈ 9 full journeys
Mrs Nu paid $2083 for 2 smiler laptops and 3 similar earphones. Each laptop cost of each earphones?
The information given is incomplete :
Answer:
x = 1/2(2083 - 3y)
y = 1/3(2083 - 2x)
Step-by-step explanation:
Let
Laptop cost = x
Earpiece cost = y
Number of laptops= 2
Number of earpiece = 3
2x + 3y = $2083
The cost per laptop :
2x = 2083 - 3y
Divide both sides by 2
x = (2083 - 3y) / 2
x = 1/2(2083 - 3y)
Or
3y = 2083 - 2x
y = (2083 - 2x) / 3
y = 1/3(2083 - 2x)
Write the following compound statement in symbolic form.
If I do not study hard, then I will not pass geometry and graduate high school.
Answer:
A conjunction is a compound statement formed by combining two statements using the word and . In symbolic logic, the conjunction of p and q is written p∧q . A conjunction is true only if both the statements in it are true.
Step-by-step explanation:
Which statement is true? (Algebra ll) *URGENT*
Answer:
3rd statement is correct
i've been stuck on this question for 3 days ;< halp meh ples
Calculate the average time for each vehicle.
What was the average time for the Big Car? Show your work.
What was the average time for the Small Car? Show your work.
Calculate the average speed for each vehicle. Use the average time for this calculation.
What was the average speed for the Big Car? Show your work.
What was the average speed for the Small Car? Show your work.
Answer:
1.
avg time = total time/ 3
for big car :-
= 4.46/ 3
= 1.48
for small car :-
= 5.14/ 3
= 1.71
2.
avg speed = total distance/ total time
for big car:-
= 2/ 4.46
= 0.45
for small car :-
= 2/ 5.14
= 0.4
What is the slope and y-intercept of the following equation:
= 13 − 4 (show your work pls)
Answer:
Slope is 1/3
Y intercept is -4
Find the value of cos J rounded to the nearest hundredth, if necessary.
Answer:
cosJ ≈ 0.38
Step-by-step explanation:
This is a 5- 12- 13 right triangle
with HI = 12, HJ = 13, IJ = 5
cosJ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{IJ}{HJ}[/tex] = [tex]\frac{5}{13}[/tex] ≈ 0.38 ( to nearest hundredth )
The required value of Cos(J) for the given triangle is 0.38.
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².
In the given ΔHIJ the sides are given as,
JH = 13 and HI = 12.
Now, apply Pythagoras theorem to obtain,
IJ² + HI² = JH²
⇒ IJ² = 13² - 12²
⇒ IJ = 5
Use trigonometric ratio to obtain,
Cos(J) = IJ/HI = 5/13 = 0.38
Hence, the value of Cos(J) is obtained as 0.38.
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The formula for the volume of a cylinder is V = srh.
Solve v = rn for h, the height of the cylinder.
Answer:
A
Step-by-step explanation:
Have a great summer :)
Urgenteeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
subtract the following rational expressions
[tex] \frac{8k}{9k - 4} - \frac{3k^3}{2k + 7} [/tex]
please show all work
Answer:
-27k^4 +12k^3+16k^2+56k
---------------------
(9k-4)(2k+7)
Step-by-step explanation:
8k 3k^3
--------- - -----------
9k-4 2k+7
Get a common denominator
8k *(2k+7) 3k^3 *(9k-4)
--------- - -----------
(9k-4)(2k+7) (9k-4)(2k+7)
Combine
8k *(2k+7) -3k^3 *(9k-4)
---------------------
(9k-4)(2k+7)
Distribute
16k^2+56k -27k^4 +12k^3
---------------------
(9k-4)(2k+7)
-27k^4 +12k^3+16k^2+56k
---------------------
(9k-4)(2k+7)
Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
Answer:
a-b divided into [tex]a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}[/tex]
the reason is that the (a-b) vs (a+b) in the "SOAP"
same, opposite, always a plus the "-" in the "a-b" has to match the
sign between the two cubes
Step-by-step explanation:
Ben franklin is an electrician that lighting
XxFazexX Ben Franklin is Goated.
Find angle D if angle B = 50
============================================================
Explanation:
I'm assuming that segments AD and CD are tangents to the circle.
We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.
By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.
----------------------------
Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.
Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.
We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.
---------------------------
Here's what we have so far for quadrilateral DAEC
angle A = 90angle E = 100angle C = 90angle D = unknownNow we'll use the idea that all four angles of any quadrilateral always add to 360 degrees
A+E+C+D = 360
90+100+90+D = 360
D+280 = 360
D = 360-280
D = 80
Or a shortcut you can take is to realize that angles E and D are supplementary
E+D = 180
100+D = 180
D = 180-100
D = 80
This only works if AD and CD are tangents.
Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.
Factorize by grouping:
4pº + 8p2 + 3p + 6
Work Shown:
I'm assuming you meant to write 4p^3+8p^2+3p+6
If so, then we would have these steps
4p^3+8p^2+3p+6
(4p^3+8p^2)+(3p+6)
4p^2(p+2)+3(p+2)
(4p^2+3)(p+2)
(1 + sin x)(1 – sin x) = cos^2x
Answer:
(1 + sin x)(1 – sin x) = cos^2x
1 - sin^2x = cos^2x
cos^2x = cos^2x
Step-by-step explanation:
Simplify the left hand side:
(1 + sin x)(1 – sin x) = cos^2x
1 - sin^2x = cos^2x
Using the Pythagorean Identity, we can see that the two sides are equivalent if you subtract sin^2x from both sides:
sin^2x + cos^2x = 1
cos^2x = 1 - sin^2x
Lastly, write it out:
(1 + sin x)(1 – sin x) = cos^2x
1 - sin^2x = cos^2x
cos^2x = cos^2x
Find the slope of the line that passes through (9, 6) and (5, 5).
Answer:
slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 6) and (x₃, y₃ ) = (5, 5)
m = [tex]\frac{5-6}{5-9}[/tex] = [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]
Factor the expression (-x^2 + 5x + 24.), and use the factors to find the x-intercepts of the quadratic relationship it represents.
Type the correct answer in each box, starting with the intercept with the lower value.
The x-intercepts occur where x =
and x =
.
Answer:
[tex]{ \bf{let \: \: { \tt{ - {x}^{2} + 5x + 24} \: \: be \: \: { \bf{{y}}}}}} \\ { \tt{y = - {x}^{2} + 5x + 24 }} \\ { \tt{y = (x + 3)(x - 8)}} \\ for \: x - intercept : y = 0 \\ { \tt{(x + 3)(x - 8) = 0}} \\ { \bf{x = - 3 \: and \: 8}}[/tex]
The factors to the given expression are -1(x+3)(x-8)
The x-intercepts are -3, 8
What do we mean by factorization?Factorization is the process in which we write an expression in its factors which when multiplied results in the original expression.
How do we factorize the given expression?We equate the given expression to f(x)
(-x² + 5x + 24) = f(x)
⇒ -1(x² - 5x - 24) = f(x)
⇒ -1(x² - (8-3)x - 24) = f(x)
⇒ -1(x² + 3x - 8x -24) = f(x)
⇒ -1(x(x+3) -8(x+3)) = f(x)
⇒ -1(x+3)(x-8) = f(x)
∴The factor to the given expression is -1(x+3)(x-8)
How do we find the x-intercepts?To find the x-intercepts we equate f(x) = 0
⇒ -1(x+3)(x-8) = 0
⇒ (x+3)(x-8) = 0
x-intercepts are the roots of the above equation.
∴ The x-intercepts occur where x = -3 and x = 8
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Question is in the image
Answer:
The answer is:
[tex]f(x)=2x^{2}-8x+6[/tex]
Step-by-step explanation:
The equation of a parabola in the intercept form is given by:
[tex]y=a(x-p)(x-q)[/tex]
Where:
p and q are x-intercepts
Now, we know the parabola intercepts at x=1 and x=3.
So we will have:
[tex]y=a(x-1)(x-3)[/tex]
Using the point (-1,16) we could find the value of a.
[tex]16=a(-1-1)(-1-3)[/tex]
[tex]16=a(-2)(-4)[/tex]
[tex]16=8a[/tex]
[tex]a=2[/tex]
Therefore, the equation is:
[tex]y=2(x-1)(x-3)[/tex]
[tex]y=2(x^{2}-4x+3)[/tex]
[tex]y=2x^{2}-8x+6[/tex]
The answer is:
[tex]f(x)=2x^{2}-8x+6[/tex]
I hope it helps you!
Which is a simplified form of the expression -4(n + 1) – (n + 2)?
A. 2n + 3
B. -3n - 2
C. -4n - 5
D. -5n - 6
Answer:
the answer is D
Answer:
D. - 5n - 6
Step-by-step explanation:
- 4 ( n + 1 ) - ( n + 2 )
= - 4n - 4 - n - 2
= - 4n - n - 4 - 2
= - 5n - 6
If 260 people donated $10.00 to an organization how much money would said organization have received in total?
Answer:
$ 2,600
Step-by-step explanation:
It's given that 260 People donated $10 is to an organisation . We need to find the total money received by the organisation .
Here we just need to the number of people with the amount each person gave , that is ;
[tex]\implies \rm Total \ amount = \$ 10 \times 260 \\\\\rm\implies Total \ amount = \$ 2,600 [/tex]
Hence the total money received by the organisation is $ 2600 .
Which compound inequality is equivalent to | ax -b | > C for all real numbers a, b, and c, where c>0?
Hello,
Answer D
ax-b < -c or ax-b >c
If ax-b >0 then |ax-b| = ax-b ==> ax-b > c
if ax-b <0 then |ax-b|=-(ax-b) > c ==> ax-b <-c
The equivalent compoud inequality is (d) ax - b > c or ax - b < -c
How to determine the compound inequality?The absolute value expression is given as:
| ax -b | > c
Given that c > 0, then it means that:
| ax -b | > 0
So, we have the following inequalities from | ax -b | > c
ax - b > cax - b < -cHence, the equivalent compoud inequality is (d) ax - b > c or ax - b < -c
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At what depth will the pressure exerted on a man be twice that of the pressure at the surface if water?
Answer:
The depth of water at which the pressure on a man will be twice that of the pressure at the surface is approximately 10.36 meters
Step-by-step explanation:
The pressure, P, in a fluid (liquid or gas) is given by P = ρ·g·h
Where;
ρ = The density of the fluid
g = The acceleration due to gravity ≈ 9.81 m/s²
h = The depth of the body in the fluid
The pressure at the surface of water = The atmospheric pressure = 101,325 Pa
The pressure on a man in water will be twice the pressure at the water surface (the atmospheric pressure) when the pressure due to the water is equal to the atmospheric pressure as follows;
Pressure on man = Pressure due to water + Atmospheric pressure = Twice the atmospheric pressure
∴ Pressure due to water = 2 × Atmospheric pressure - Atmospheric pressure = Atmospheric pressure
Pressure due to water, P = Atmospheric pressure = 101,325 Pa
The depth of water, h = P/(ρ·g)
The density of water, ρ = 997 kg/m³
∴ h ≈ 101,325 Pa/(997 kg/m³ × 9.81 m/s²) ≈ 10.36 meters
The depth of water at which the pressure on a man will be twice that of the pressure at the surface, h ≈ 10.36 meters.
pls help, i have class rn :(
in how many ways can alice distribute 12 apples to 3 children (a child can have no apples)
HELP ASAP 10 POINTS AND BRAINLIST
Step-by-step explanation:
hope it helps you...........
PLEASE HELP URGENT!!!!
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expected population of each country in 2025, assuming their annual growth rates remain steady.
Answer:
Australia will have about 27 million
China will have about 1.41 billion
Mexico will have 133.35 million
Zaire will have about 100.9 million
Australia 2000 19,169,200 multiply your growth rate by 2 then divide it by your population your growth rate
China 1.2 billion in 2000 multiply your growth rate by 2 then divide it by your population your growth rate
Same for Mexico
and Zaire
What is the answer??
Ryan was traveling by car at an average speed of 40.3 miles per hour.
He will cover 322.4 miles in hours.
Answer:
your answer is 8
Step-by-step explanation:
If you divide 322.4 by the speed 40.3 you would get 8 the amount of hours traveling the given distance.
If you dont think the answer is correct you can simply mutiply 40.3 by 8 to ensure that 322.4 miles is in fact how far you will go in that time
hope this help. Have a good day!
\
Bye
Please help I don't understand this at all
Answer:
The answer is 48in
Step-by-step explanation:
3x-4y=-24
Identify the x- and y-intercept of the graph of each question
Answer:
x = -8 and y = 6
Step-by-step explanation:
3x - 4y = -24
Solve for y - intercept
3x - 4y = -24
To find y intercept , substitute x = 0
3 × 0 - 4y = -24
Any expression multiplied by 0 equals 0.
0 - 4y = -24
-4y = -24
Divide both sides by -4
-4y / -4 = -24/-4
y = 6
Similarly, Solve for x-intercept
3x - 4y = -24
To find x- intercept , susbtitute y = 0
3x - 4 × 0 = -24
Any expression multiplied by 0 equals 0.
3x - 0 = -24
3x = -24
Divide both sides by 3
3x / 3 = -24 / 3
x = -8
Therefore, y = 6 and x = -8