Answer:
47 pizzas
Step-by-step explanation:
Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.
If the number of hours after the first hour is represented as x, then the number of pizzas he makes after x hours is:
6 + 3x
Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:
11 + 3x
The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.
This means that:
x = 5
The total amount of pizzas that Dave and Lauren make is:
6 + 3x + 11 + 3x
=> 17 + 6x
Therefore, the total amount of pizza they make 5 hours after the first hour is:
17 + 6(5) = 17 + 30 = 47 pizzas
Identify the zero(s) of [tex]f(x)=4x^{2} - 20x - 56[/tex]. -- Urgent 10 minutes! Many points!
Answer:
x = - 2, x = 7
Step-by-step explanation:
Given
f(x) = 4x² - 20x - 56
To find the zeros let f(x) = 0, that is
4x² - 20x - 56 = 0 ( divide through by 4 )
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 7 = 0 ⇒ x = 7
*Some help please?*
The graph of g(x) is a transformation of the graph of f(x)=3^x.
Enter the equation for g(x).
g(x) =
Answer:
I'm sorry this is kind of a hard question
Write the equation of the hyperbola centered at the origin with focus (74, 0) and asymptote y=-7/5x
The equation of the hyperbola is =x^2/a^2-y^2/b^2=1
The equation of the given hyperbola is; x²/25 - y²/49 = 1
What is the equation of the hyperbola?
We are given;
Focus = (74, 0)
Asymptote; y = -⁷/₅x
Centered at origin
We are given that the general form of equation of a hyperbola is;
x²/a² - y²/b² = 1
Now, we know that the equations of the asymptotes are;
y = ±(b/a)x
Thus, comparing the above with our asymptote of y = -7/5x gives us;
a = 5 and b = 7
Thus, the equation of the given hyperbola is;
x²/5² - y²/7² = 1
⇒ The equation of the given hyperbola is;
x²/25 - y²/49 = 1
Read more about Hyperbola Equation at; https://brainly.com/question/3405939
#SPJ1
Answer:
The answer is 5 and 7
Step-by-step explanation:
A pack of 6 waters costs $5.10. How much does 1 water cost?
So each bottle of water costs $0.85
look at the attached picture
Hope it will help you..
Answer:
85 cents
Step-by-step explanation:
divide 5.10 by 6
If f(x)= x-3 over x and g(x)= 5x-4 what is the domain of (f•g)(x)
Answer:
I attached the work to your problem below.
I hope it helps.
Is 313756 divisible by 9?
Answer:
No.
Step-by-step explanation:
313756 is not divisible by 9 .
Easy way to find it out. - 313756
3+1+3+7+5+6 = 25
25 is not divisible by 3...so , it is not divisible by 9 too
Hope it helps you
A student got 78 marks out of a possible 120. Express the students mark as a percentage
The student's mark can be expressed as 65%.
To express the student's mark as a percentage, you need to divide the number of marks obtained by the possible marks and multiply by 100.
In this case, the student got 78 marks out of a possible 120.
Percentage = (Marks Obtained / Possible Marks) * 100
Percentage = (78 / 120) x 100
Percentage = 0.65 x 100
Percentage = 65%
Therefore, the student's mark can be expressed as 65%.
Learn more about Percentage here:
https://brainly.com/question/28998211
#SPJ2
Evaluate this expression.
5^2 +3 (8-2)
A. 28
B. 32
C. 43
D. 47
E. 168
Answer:
C. 43
Step-by-step explanation:
Which is greater, 4.87 x 10^9 or 9.212 x 10^8?
please helpp
Answer: 4.87 x 10^9 is greater than 9.212 *10^8
Step-by-step explanation:
4.87 x 10^9 is greater than 9.212 *10^8 because it has the greater exponent.
4.87 * 10^9 = 4,870,000,000
9.212 *10^8= 921,200,000
4,870,000,000 > 921,200,000
The two line plots below show the times that Marco and Antonio ran in ten trials of the 40-yard dash.
antonio's:4.5,4.5,4.6,4.6,4.6,4.8,4.8,5.2,5.2,5.3,5.5
Marcos's:4.8,4.8,4.9,4.9,4.9,4.9,5.0,5.0,5.0,5.1
Which of the following can be inferred from the data?
A. Antonio runs the race faster than Marco on average.
B. Marco always runs a better time than Antonio.
C. Marco is more likely than Antonio to improve after a poor race.
D. Antonio's average time is about 5.1 seconds,
Step-by-step explanation:
The answer is A
Bcz In a race runs faster whoever does it in less time
The radius of a circle is 2 units.what is it’s circumference
Answer:
see below
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * pi *2
C = 4pi
Let pi = 3.14
C = 4 * 3.14
C =12.56
Using the pi button
C =12.56637061
Answer:
12.571428...units or [tex]\frac{88}{7}[/tex]
Step-by-step explanation:
Circumference of a circle= [tex]2\pi r[/tex]
Radius(r)= 2 units
∴Circumference= [tex]2*\frac{22}{7}*2 units[/tex]
= [tex]\frac{88}{7} units[/tex]
= 12.571428.....units
20 points if you help please!!!!!!!!!!!!
Answer:
C and E
Step-by-step explanation:
PLEASEEE HELPPP MEE WITH THIS QUESTION!!!!!!! I REALLY NEED HELP!!!!! PLS ANSWER IT CORRECTLY NO GUESSING PLSS HELP ASAP!!!!!!!
Answer: Because each leaf will not have a single digit.
Step-by-step explanation:
a. How long is 50% of 60 minutes?
Answer:
30 mn
Step-by-step explanation:
You need to calculate :
60 × 50% = 60×(50÷100)
=3000÷100
= 30
PLEASE HELP - One of the solutions to the x to the second power -14x + 45 =0 is x=5. What is the other solution?
- I think the answer is either 9 or -9!!! Please tell me what u think, thank u!! Very appreciateddd :))
Step-by-step explanation:
x^2 -14x + 45 =0
look for two numbers that their :
sum= - 14 (-5 & -9)
products = 45 (-5 & -9)
so,
(x-5)(x-9)=0
thus,
x=5, x=9 (ANS)
Find the area of the semicircle. Round your answer to the nearest hundredth.
2 ft
Área: about?
Answer:
The answer would be .39
Step-by-step explanation:
So first we have to know the eqation to finding the area of a semicircle, this would be:
2r x π ÷ 2 (r stands for radius)
Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5
And then you we would fill in the blanks and make our eqaution :
2 x 0.5 x 3.14 ÷ 2 which would give us the answer of .39
i have no idea if this is right so pls lmk!
Please help its in math
Answer:
989 in^2
Step-by-step explanation:
The surface area of the larger cube is
SA = 5 s^2 because she will stain all the sides but the bottom one
SA = 5 * 11^2 = 5*121 = 605
The surface area of the smaller cube is
SA = 6s^2 since she will stain all sides
SA = 6* 8^2 =6*64 =384
Add both surface areas together
605+384
989
Answer:
989 square inches
Step-by-step explanation:
Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!
Polygon ABCD is defined by the points A(-4,2) B(-2, 4), C(1, 3) & D(2,2). Match the coordinates of the points of the transformed polygons to their correct values
Answer:
D'(-2, 2); C''(3, -1); A'''(4, -2); and B''(4, 2)
Step-by-step explanation:
See attachment for the figure.
For D', rotating the point (2, 2) 90° counterclockwise. This maps each point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).
For C'', rotating the point (1, 3) 90° clockwise. This maps each point (x, y)→(y, -x); it takes (1, 3)→(3, -1).
For A''', rotating the point (-4, 2) 180° clockwise. This maps every point (x, y)→(-x, -y); it takes (-4, 2)→(4, -2).
For B'', rotating the point (-2, 4) 270° counterclockwise. This is the similar as rotating the point 90° clockwise. This maps every point (x, y)→(y, -x); it takes (-2, 4)→(4, 2).
3x-2= 4x+9/3 whats the solution
To the nearest hundredth, what is the circumference of a circle with a radius
of 5 units?
Answer:
31.42
Step-by-step explanation:
I think that's right. Hopefully it is.
A rectangular swimming pool is 10 meters long and 4.5 meters wide. If the volume of the
water in the pool is 72 cubic meters, how deep is the water?
(4 Points)
Hin Volume
h Identh
Answer: 1.6 meters deep
Step-by-step explanation:
LxWxH
10x4.5 = 45
45x1.6 = 72
Answer:
[tex]1.6m[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Solve the inequality
-7x + 12 = 75
Answer:
12/75 = 4/25
Step-by-step explanation:
Answer: x = -9
Explanation:
Algebra sucks help me
Answer:
The answer would be D
Step-by-step explanation:
It is the only one that makes sense ;-;
(hope this is correct)
6.4 m
12m
12.5 m
rectangular prism
Answer:
Volume: 9500 m^3
Step-by-step explanation:
6.4 * 12 = 76.8
76.8 * 12.5 = 9500
A card is drawn from a normal 52 card deck. The card number and sum are noted, the card is placed back in the deck, then another card is drawn. Find the probability that a) the first card was a queen and the second card as a 10. b) the first card was the Queen of Hearts and the second card was an 8. c) both cards were Jacks. d) the first card was the 5 of Spades and the second card was the Ace of Hearts.
Step-by-step explanation:
a) There are 4 Queens in a deck, so the probability the first card is a Queen is 4/52 = 1/13.
There are 4 10s in a deck, so the probability the second card is a 10 is 4/52 = 1/13.
The probability of both events is 1/13 × 1/13 = 1/169.
b) There is 1 Queen of Hearts in a deck, so the probability the first card is a Queen of Hearts is 1/52.
There are 4 8s in a deck, so the probability the second card is a 8 is 4/52 = 1/13.
The probability of both events is 1/52 × 1/13 = 1/676.
c) There are 4 Jacks in a deck, so the probability the first card is a Jack is 4/52 = 1/13.
There are 4 Jacks in a deck, so the probability the second card is a Jack is 4/52 = 1/13.
The probability of both events is 1/13 × 1/13 = 1/169.
d) There is 1 5 of Spades in a deck, so the probability the first card is a 5 of Spades is 1/52.
There is 1 Ace of Hearts in a deck, so the probability the first card is a Ace of Hearts is 1/52.
The probability of both events is 1/52 × 1/52 = 1/2704.
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round your answer to the nearest tenth. The perimeter of the fountain is about a feet.
complete question:
A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft. Find the perimeter of the fountain. Round your answer to the nearest tenth. The picture is represented below.
Answer:
The perimeter of the fountain = 47.1 ft
Step-by-step explanation:
The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.
The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,
perimeter for a full circle = 2πr
Half circle = 2πr/2 = πr
For 2 half circle = πr + πr = 2πr
For 2 half circle = 2πr
r = 10/2 = 5
perimeter for 2 half circle = 2 × 5 × 3.14 = 31.4 ft
Perimeter for the quarter circle
r = 10 ft
Quarter circle perimeter = 1/4 × 2πr = πr/2
Quarter circle perimeter = (3.14 × 10)/2
Quarter circle perimeter = (31.4)/2
Quarter circle perimeter = 15.7 ft
The perimeter of the fountain = 15.7 ft + 31.4 ft = 47.1 ft
Answer:
47.1
Step-by-step explanation:
47.1
please make me branlyest
What is 3x²-2 if x is -3
Answer:
Step-by-step explanation:
3x² -2 =3*(-3)²-2=3*9 - 2
= 27 - 2
= 25
What is the distance between (-6. 2) and (8.10) on a coordinate grid?
Answer:
The distance between 2 points is 16.1 units.
Step-by-step explanation:
You have to apply distance formula using coordinates,
[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Let (x1,y1) be (-6,2),
Let (x2,y2) be (8,10)
[tex]distance = \sqrt{ {(8 - ( - 6))}^{2} + {(10 - 2)}^{2} } [/tex]
[tex]distance = \sqrt{196 + 64} [/tex]
[tex]distance = \sqrt{260} [/tex]
[tex]distance = 2 \sqrt{65} [/tex]
[tex]distance = 16.1 \: units \: (3s.f)[/tex]
What concept did the founders of the united states borrow from the ancient greeks?
An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?
Answer:
60 copies
Step-by-step explanation:
Answer: 60 copies
Step-by-step explanation: