Answer:
The pizza parlors cost the same when delivering 4 pizzas.
Step-by-step explanation:
For each store, the total price is
cost of pizzas + cost of delivery
The cost of delivery is just a fixed number for each store, $20 or $12.
The cost of the pizzas is the price of a pizza multiplied by the number of pizzas.
Let x = number of pizzas
The cost of the pizzas is
Jacob's: 10x
Ashley's: 12x
Jacob's total cost (pizzas + delivery):
10x + 20
Ashley's total cost (pizzas + delivery):
12x + 12
We want the total costs to be the same, so we set our two total cost expressions equal and solve for x.
12x + 12 = 10x + 20
Subtract 10 from both sides.
2x + 12 = 20
Subtract 12 from both sides.
2x = 8
Divide both sides by 2.
x = 4
Answer: The pizza parlors cost the same when delivering 4 pizzas.
Which expression is equivalent to (4 + 7(3 + 41)?
-16+37i
12-28i
16-37i
37+16i
Answer:
C
Step-by-step explanation:
The student body of 10 students want to elect a president, vice president, secretary, and treasurer.
A) Permutation
B) Combination
C) Circular permutation
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Four students spoke to the Home and School parents for a total of 2/3 hour. Each student spoke for the same amount of time. How long did each student speak?
creo que la respuesta el 10 minutos, porque dice "horas" pero no dice a cuantas horas equivale :) espero que te aya adudado auque sea un poquito
Find the height of a right cylinder with surface area 240π ft2 and radius 5 ft.
The height of the right cylinder is __
ft.
Answer:
h ≈ 2.64ft
Step-by-step explanation:
A = 2πrh + 2πr2
h= A /2πr﹣r = 240 /2·π·5﹣5 ≈ 2.63944ft
Kono Dio Da!!
If the front of a playhouse is shown in a scale drawing and the height of the door is 1.8 inches. The scale that maps the drawing is 1 inch to 2.5 feet . What is the actual height in feet of the play house door?
Answer:
4.5 feet
Step-by-step explanation:
Here, we are concerned with calculating the actual height in feet of the door given the scale used in the maps drawing.
In the scale, scale to actual is 1 inch to 2.5 feet
let 1.8 inch scale = x actual feet
Thus mathematically, by cross multiplying; we have;
x = 2.5 * 1.8 = 4.5 feet
Arianne Greene's charge account statement shows an unpaid balance of $376.00. The monthly finance charge is 1.85% of the unpaid balance. What is the finance charge?
Which of the expressions are equivalent to the one below? Check all that
apply.
6*(2+8)
A. 6•(8+2)
B. 6•2+6•8
C. (8+2) •6
D. (6•2) + 8
Answer:
B
Step-by-step explanation:
When you have a number or numbers by parentheses, you take the number outside them and multiply it to each number that is inside the parentheses. In this case you would do 6*2 + 6*8. If I helped, please mark as brainliest! :)
Answer:
A, B, & C are all correct!
Step-by-step explanation:
At the beginning of the month, Tim has $50. He mows 2 lawns and washes 1 car. Then, he buys two video games that cost $15 each and a sweatshirt that costs $35. How much money does Tim have left? (please put just your answer with the $)
Answer:
Tim has $50. 15+15=30-35=5
Tim has $5 left
Which expressions are equivalent to g+h+(j+k) Check all that apply
Answer:
g+h+(j+k)
Step-by-step explanation:
(g+h)+j+k
(g+k)+j+h
(g+j)+h+k
(k+h)+j+h
(j+h)+g+k
Answer:
1 and 3
Step-by-step explanation:
dont mind me this needed to be longer wait still needs no be longer
There are 20 marbles in a jar. There are 6 red marbles, 3 green marbles, and the rest are purple. What is the probability of getting a purple marble if you take a marble out of the bag
Answer:
55% probability of getting a purple marble if you take a marble out of the bag
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
20 marbles.
6 are red.
3 are green
The rest(x) are purple.
So
6 + 3 + x = 20
x = 11
20 marbles, of which 11 are purple.
11/20 = 0.55
55% probability of getting a purple marble if you take a marble out of the bag
If 3x and 71/x are two prime numbers V x equivalent to R, then number of x so that 3x + 71/x = 10 is/ are
Answer:
x = 5/3Step-by-step explanation:
Guven two prime numbers to be 31/x and 71/x, if their sum is 10 as given;
3x + 71/x = 10 then to find the value of x, the following steps must be taken;
Step 1
Find the LCM of the given equation;
3x + 71/x = 10
[tex]\frac{3x^{2}+71 }{x} =10\\[/tex]
Step 2:
Cross multiplying;
[tex]3x^{2} +71=10x\\3x^{2} -10x+71 =0\\[/tex]
Using the general formula to get the value of x;
x = -b±√b²-4ac/2a
a=3, b=-10, c=71
= 10±√(-10)²-4(3)(71)/2(3)
= 10±√100-852/6
= 10±√-752/6
= 10±27.4i/6
= 10+27.4i/6 or 10-27.4i/6
x = 5/3+27.4i/6 or 5/3-27.4i/6
Since the values of x are real values then, our answer will be the real part of the complex number gotten.
x = 5/3
What is the distance between points A(13, 2) and B(7, 10)
Answer:
distance = sqrt((x2-x1)^2 + (y2-y1))
distance = sqrt((7-13)^2 + (10-2)^2)
distance = sqrt( -6^2 + 8^2)
distance = sqrt(36+64)
distance = 10
Step-by-step explanation:
Answer:
10 units
Step-by-step explanation:
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
d = [tex]\sqrt{(13 - 7)^2 + (2 - 10)^2}[/tex]
d = [tex]\sqrt{(6)^2 + (-8)^2}[/tex]
d = [tex]\sqrt{36 + 64}[/tex]
d = [tex]\sqrt{100}[/tex]
d = 10 units
Compare the ordered pairs of the pre-image to the
image to answer these questions.
Is the dilation an enlargement or reduction?
The point of dilation is about what coordinate?
What is the scale factor?
Pre-image
Answer: Reduction
(0,0)
1/3
Step-by-step explanation:
Answer:
1-reduction
2-(0,0)
3-1/3
Step-by-step explanation:
1. If 5tanA=4, Find the value of (5sinA-3cosA)/(4cosA+5sinA)
2. Solve for θ, sinθ/(1+cosθ) + (1+cosθ)/sinθ =4, 0°<θ<90°
3. Prove that tan〖θ-cotθ 〗 = (〖2sin〗^2 θ-1)/sinθcosθ
4. Without using trigonometric tables ,show that
tan 10°tan15°tan75°tan80°=1
5. If x=acosθ-bsinθ and y=asinθ + bcosθ prove that x^2+y^2=a^2+b^2
Answer:
1. (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) = 1/8
2. θ = 30°
3. tan(θ) - cot(θ) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))
from tan(θ) - 1/tan(θ) = sin(θ)/cos(θ) - cos(θ)/sin(θ) and sin²(θ) + cos²(θ) = 1
4. tan10°·tan15°·tan75°·tan80°= 1 from;
sin(α)·sin(β) = 1/2[cos(α - β) - cos(α + β)]
cos(α)·cos(β) = 1/2[cos(α - β) + cos(α + β)]
5. x² + y² = a² + b² where x = a·cosθ - b·sinθ and y = a·sinθ + b·cosθ from;
cos²θ + sin²θ = 1
Step-by-step explanation:
1. Here we have 5·tan(A) = 5·sin(A)/cos(A) = 4
∴ 5·sin(A) = 4·cos(A)
Hence to find the value of (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) we have;
Substituting the value for 5·sin(A) = 4·cos(A) into the above equation in both the numerator and denominator we have;
(4·cos(A) - 3·cos(A)/(4·cos(A) + 4·cos(A)) = cos(A)/(8·cos(A)) = 1/8
Therefore, (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) = 1/8
2. For the equation as follows, we have
[tex]\frac{sin \theta}{1 + cos \theta} + \frac{1 + cos \theta}{sin \theta} = 4[/tex] this gives
[tex]\frac{2sin (\theta/2) cos (\theta/2) }{2 cos^2 (\theta/2)} + \frac{2 cos^2 (\theta/2)}{2sin (\theta/2) cos (\theta/2) } = 4[/tex]
[tex]tan\frac{\theta}{2} + \frac{1}{tan\frac{\theta}{2} } = 4[/tex]
[tex]tan^2\frac{\theta}{2} + 1 = 4\times tan\frac{\theta}{2}[/tex]
[tex]tan^2\frac{\theta}{2} - 4\cdot tan\frac{\theta}{2} + 1 = 0[/tex]
We place;
[tex]tan\frac{\theta}{2} = x[/tex]
∴ x² - 4·x + 1 = 0
Factorizing we have
(x - (2 - √3))·(x - (2 + √3))
Therefore, tan(θ/2) = (2 - √3) or (2 + √3)
Solving, we have;
θ/2 = tan⁻¹(2 - √3) or tan⁻¹(2 + √3)
Which gives, θ/2 = 15° or 75°
Hence, θ = 30° or 150°
Since 0° < θ < 90°, therefore, θ = 30°
3. We have tan(θ) - cot(θ) = tan(θ) - 1/tan(θ)
Hence, tan(θ) - 1/tan(θ) = sin(θ)/cos(θ) - cos(θ)/sin(θ)
∴ tan(θ) - 1/tan(θ) = (sin²(θ) - cos²(θ))/(cos(θ)×sin(θ))...........(1)
From sin²(θ) + cos²(θ) = 1, we have;
cos²(θ) = 1 - sin²(θ), substituting the value of sin²(θ) in the equation (1) above, we have;
(sin²(θ) - (1 - sin²(θ)))/(cos(θ)×sin(θ)) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))
Therefore;
tan(θ) - cot(θ) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))
4. tan10°·tan15°·tan75°·tan80°= 1
Here we have since;
sin(α)·sin(β) = 1/2[cos(α - β) - cos(α + β)]
cos(α)·cos(β) = 1/2[cos(α - β) + cos(α + β)]
Then;
tan 10°·tan15°·tan75°·tan80° = tan 10°·tan80°·tan15°·tan75°
tan 10°·tan80°·tan15°·tan75° = [tex]\frac{sin(10^{\circ})}{cos(10^{\circ})} \times \frac{sin(80^{\circ})}{cos(80^{\circ})} \times \frac{sin(15^{\circ})}{cos(15^{\circ})} \times \frac{sin(75^{\circ})}{cos(75^{\circ})}[/tex]
Which gives;
[tex]\frac{sin(10^{\circ}) \cdot sin(80^{\circ})}{cos(10^{\circ})\cdot cos(80^{\circ})} \times \frac{sin(15^{\circ}) \cdot sin(75^{\circ})}{cos(15^{\circ})\cdot cos(75^{\circ})}[/tex]
[tex]=\frac{1/2[cos(80 - 10) - cos(80 + 10)]}{1/2[cos(80 - 10) + cos(80 + 10)]} \times \frac{1/2[cos(75 - 15) - cos(75 + 15)]}{1/2[cos(75 - 15) + cos(75 + 15)]}[/tex]
[tex]=\frac{1/2[cos(70) - cos(90)]}{1/2[cos(70) + cos(90)]} \times \frac{1/2[cos(60) - cos(90)]}{1/2[cos(60) + cos(90)]}[/tex]
[tex]=\frac{[cos(70)]}{[cos(70) ]} \times \frac{[cos(60)]}{[cos(60) ]} =1[/tex]
5. If x = a·cosθ - b·sinθ and y = a·sinθ + b·cosθ
∴ x² + y² = (a·cosθ - b·sinθ)² + (a·sinθ + b·cosθ)²
= a²·cos²θ - 2·a·cosθ·b·sinθ +b²·sin²θ + a²·sin²θ + 2·a·sinθ·b·cosθ + b²·cos²θ
= a²·cos²θ + b²·sin²θ + a²·sin²θ + b²·cos²θ
= a²·cos²θ + b²·cos²θ + b²·sin²θ + a²·sin²θ
= (a² + b²)·cos²θ + (a² + b²)·sin²θ
= (a² + b²)·(cos²θ + sin²θ) since cos²θ + sin²θ = 1, we have
= (a² + b²)×1 = a² + b²
BE5-3 Cha Company buys merchandise on account from Wirtz Company. The selling price of the goods is $780, and the cost of the goods is $470. Both companies use perpetual inventory systems. Journalize the transaction on the books of both companies.
Answer:
In the books of Wirtz, the selling party, the required entries are
Debit Accounts receivable $780
Credit Revenue $780
Being entries to recognize sales revenue on account
Debit Cost of sales $470
Credit Inventory $470
Being entries to recognize the cost of items sold
In the books of Cha Company
Debit Inventory $780
Credit Accounts payable $780
Being entries to record cost of inventory purchased
Step-by-step explanation:
When a company makes a sale, the effect of such sale is dual in the books of the company being that the company would first recognize revenue and then recognize the cost of items sold.
To recognize revenue,
Debit Cash/Accounts receivable
Credit Revenue
To record the cost of the item sold
Debit Cost of sales
Credit Inventory
For the party that makes the purchase
Debit Inventory
Credit Cash/Accounts payable
A histogram titled Number of texts has time on the x-axis and texts on the y-axis. From 6 a m to 7:59 a m there were 15 texts, 8 to 9:59 a m: 5, 10 a m to 11:59 p m: 0, 12 p m to 1:59 p m: 0, 2 p m to 3:59 p m: 0, 4 to 5:59 p m: 29, 6 to 7:59 p m: 19, 8 to 8:59 p m, 14, 10 p m to 11:59 a m: 5 The histogram shows the number of text messages sent by two high school juniors on one Monday. Which statement most reasonably explains the hours when 0 texts were sent? The students were asleep and did not have phones turned on. The students only had 100 text messages available. The students were in school and were not allowed to text. Texting is done in clusters.
Answer:
Answer: I think c,e
Answer: The students were in school and were not allowed to text
The time-span from 10 AM to 3:59 PM is when 0 messages were sent in total. This is likely the duration of either the entire school day or much of it. So it's likely the school does not allow texting or does not allow phones to be in use.
Josh is making a rectangular-shaped picture frame. The length of the frame is to be 5 inches more than twice the width. Which equation models the area, A, of the frame in terms of the width, w?
Answer:
A=2x^2+5x
Step-by-step explanation:
length of frame = 2x+5
width of frame = x
A=lw
A=(2x+5)x
A=2x^2+5x
Kelly is going to shop with the $200.00 that she earned from doing chores. She wants to save 30% of her money to put into a savings account. She buys a sweater for $60.00 and a new coat for $75.00, with 6% sales tax on both items. Does Kelly still have the amount of money she planned to put into her savings account?
Answer:
No she won't
Step-by-step explanation:
200(0.30)=60
60(0.06)=3.6
60+3.6=63.6
75(0.06)=4.5
75+4.5=79.5
79.5+63.6=143.1
200-143.1=56.9
56.9<60
If now Lina is three times as old as Nick, and in 6 years she will be twice as old as he, how old are they now?\
PLZZ I AM DESPERATE
Answer:
Step-by-step explanation:
Nick's age = x years
Lina's age =3*x = 3x
After 6 years,
Lina's age = 3x + 6
Nick's age = x + 6
3x + 6 = 2*(x+6)
3x + 6 = 2*x + 2*6
3x + 6 = 2x + 12 {Subtract 6 form both sides}
3x +6 - 6 = 2x + 12 - 6
3x = 2x + 6 {subtract 2x from both sides}
3x - 2x = 2x + 6 - 2x
x = 6
Nick's age = 6 years
Lina's age =3*6 = 18 years
Answer:
Lina is 18 and Nick is 6
Step-by-step explanation:
Find the volume of the figure
Answer:
450
Step-by-step explanation:
The expression two square root of three minus square root of 27 is equivalent to
Answer:
-0.954(rounded)
Step-by-step explanation:
first write it in number form
√2(3)-√27
the exact form will be 3√2-3√27 = -0.954(rounded)
please help me with this problem !! (will give brainliest
Answer:
(4,3)
Step-by-step explanation:
f(x) = a(x-h)^2 +k is the vertex form of a parabola
where (h,k) is the vertex
f(x) = (x-4)^2 +3
yields a vertex of (4,3)
Answer: The answer is A 4,3
Step-by-step explanation:
6 mor to go thanks you
Answer:
BGC
Step-by-step explanation:
They are both on a straight line and add up to 180 degrees.
What is the correct answer?
Answer:45
Step-by-step explanation:
Sin^-1= 5÷7
Which number is composite ??? A.11 B.5 C.9 D.2
Answer:
the correct answer is 9
The combined weight of Maia and Vashti is 102.45kg. If Maia weighs 2.15kg more than Vashti, calculate Vashti's weight.
Answer:
50.32 I think
Step-by-step explanation:
52,13+50,32=102.45
Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was 0.005\,\text{cm}0.005cm0, point, 005, start text, c, m, end text in diameter, and Eduardo's strand was 0.012\,\text{cm}0.012cm0, point, 012, start text, c, m, end text in diameter. How much greater was the diameter of Eduardo's hair?
Answer:
30x2010x943
Step-by-step explanation:
219x29192
Answer:
0.007
Step-by-step explanation:
Secant TQ and tangent TR intersect at point T. Chord SR and chord PQ intersect at point V. Find the values of x and y. If necessary, round to the nearest tenth.
Answer:
x=4, y=9.6
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
[tex]TP X TQ=TR^2[/tex]
[tex]9(9+12+x)=15^2\\9(21+x)=225\\189+9x=225\\9x=225-189\\9x=36\\x=4[/tex]
Next, we apply Theorem of Intersecting Chords
SV X VR=PV X VQ
5 X y = x X 12
Recall: x=4
5y=4 X 12
5y=48
y=48/5=9.6
Therefore: x=4, y=9.6
PLEASE HELP!!!! NEED ANSWER ASAP
Answer:
X=25
Step-by-step explanation:
Since these 2 angles are vertically opposite angles so they are equal. (rule)
75°=(4x-25°)
75° + 25° = 4x
100=4x
X=100/4 = 25
___________
Hope this helps...
Una escalera está apoyada sobre la fachada de un edificio. Si la escalera mide 10 m de longitud y el pie de la escalera está a 5 m de la pared, ¿a qué altura de la pared llega la escalera? Expresa el resultado con radicales extrayendo todos los factores posibles.
Answer:
8.66 meters
Step-by-step explanation:
Assuming that the building is completely straight, a right angle is formed and therefore a right triangle.
Thanks to this we can calculate the height at which the ladder reaches the wall using the Pythagorean theorem, this height being one of the legs.
We have to:
c ^ 2 = a ^ 2 + b ^ 2
c = 10
a = 5
replacing
b ^ 2 = 10 ^ 2 - 5 ^ 2
b ^ 2 = 75
b = 8.66
that is to say that the height at which the ladder reaches the wall is 8.66 meters
