Answer:
A. She can buy 8 pizzas; B. At least 6 pizzas.
Step-by-step explanation:
Since Grace has $105, we can set our inequality to be less than or equal to that amount of money. We also know she needs to spend $25 on the cake no matter what. Assuming x is the amount of pizzas she can buy and each pizza costs $9.25, our inequality looks like this:
9.25x + 25 ≤ 105
To solve this inequality, we first subtract 25 from both sides, which gives us:
9.25x ≤ 80
Then we divide by 9.25 on both sides, giving us:
x ≤ 8.6486
Since Grace is only able to buy whole pizzas, the most she can buy is 8 pizzas.
If each pizza serves 4 people and there are 22 people attending, we need to be able to feed 22 or more people. We can use this inequality, where x is still the number of pizzas.
4x ≥ 22
Dividing both sides by 4, we get:
x ≥ 5.5
Again, assuming we can only buy whole pizzas, we would need at least 6 pizzas to feed the entire party.
Suppose that Nectaria also has 6 chickens. Her neighbor gives her 40 feet of fencing. She must still cut the fencing in lengths that are whole numbers.
What equation can Nectaria write that would allow her to figure out possible dimensions for her chicken pen? Which dimensions would maximize the area of her pen?
EXPLAIN in complete sentences how Nectaria can figure out the possible dimensions for her chicken pen and which dimensions would maximize the area for her chickens.
Answer:
Max area = 100
10 10 sides
Step-by-step explanation:
here given perimeter for fencing is 40 feet
for it to have maximum area sides
sides length is perimeter / 4
so l = 40/4 = 10
so it is 10 × 10 square
Area = 100
This is the maximum area
Each side of an equilateral triangle has length x+3 and each side of a square has length 4x-2. Write an expression for the sum of their perimeters.
Please help me!!
Answer:
square: 16x-8
triangle: 3x+9
Step-by-step explanation:
Squares have 4 equal sides. Equilateral triangles have 3 equal sides.
Multiply the length of one side by the total number of sides for each shape to find the perimeter. Then combine like terms.
Answer:
square: 16x-8
triangle: 3x+9
Step-by-step explanation:
if f(x)=4x+3 and g(x)=x^2-3 what is f(g(4))
[tex]\text{Given that ,}\\\\f(x) = 4x+3\\\\g(x) = x^2 -3\\\\g(4) = 4^2 - 3 = 16-3=13\\\\f (g(4)) = f(13) = 4\times 13 + 3 = 55[/tex]
Apologize If i keep spamming this question, I just really need help
Answer:
C , 18
Step-by-step explanation:
Answer:
The sum of the exterior angles of a polygon is always 360°.
Therefore,
[tex]x+2x+3x+5x+9x=360[/tex]
[tex]20x=360[/tex]
Divide both sides by 20:
[tex]\frac{20x}{20}=\frac{360}{20}[/tex]
[tex]x=18[/tex]
each ball has a diameter of 60mm
which has the smallest surface area?
Help please I really don’t understand SOS
Answer : 5 , 6 , 7 and 8
Step-by-step explanation:
.....
A circle has radius 1 unit. What percent of its area lies outside of the circle with the same center and a radius of 1/2?
Answer:
(3/4)pi
Step-by-step explanation:
Find the areas of the two circles and then subtract the smaller from the larger:
A of circle = (pi)r^2
Case 1: r = 1 unit: A = (pi)(1) = pi
Case 2: r = 1/2 unit: A = (pi)(1/2)^2 = pi/4
The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi
Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of
rectangle ABCD is 24 in and the perimeter of rectangle EFGH is 48in. If the width
of rectangle ABCD is 2in, then what is the area of rectangle EFGH?
Answer:
4in
Step-by-step explanation:
The area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².
What is the area of a rectangle ?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
It is given that rectangle ABCD is in the same proportion as that of rectangle EFGH.
Perimeter of rectangle ABCD = 24 inch
Perimeter of rectangle EFGH = 48 inch
The ratio of perimeters of rectangle ABCD to EFGH will be :
= 24 : 48
= 1 : 2
It is also given that the width of rectangle ABCD is 2 inch.
Perimeter of triangle ABCD is :
P = 2 ( L + B )
24 = 2 ( L + 2)
L + 2 = 12
L = 10 inch
The area of rectangle ABCD will be :
= 10 × 2
= 20 inch²
As the perimeters of ABCD and EFGH are in ratio 1 : 2.
The area of rectangle EFGH will be :
= 20 × 2
= 40 inch ²
Therefore , the area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².
Learn more about area of rectangle here :
https://brainly.com/question/25292087
#SPJ2
8x+9y=60 2x-9y=-30 elimation method
Answer:
x=3 y=4
Step-by-step explanation:
8x+9y=60 + 2x-9y=-30
10x=30
x=3
y=4
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
Answer:
150 because he bought them
Step-by-step explanation:
i need answer please
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m
Answer:
1 I think can you make sure?
In a telephone poll, 11 people said they like shopping and 9 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping? hurry I need helpppp
Answer:
9:11
Step-by-step explanation:
well 11 and 9 can be simplified so......
the difference of 3 times a number and 2 times that same number is 80.what is the number
The local sporting goods store is having a 40% off sale on hockey gear that normally costs $100. You will have to pay a 7% sales tax, based on the discounted price, on any purchase you make. Which statements are true about the problem? Check all that apply.
A.You can simplify the problem by calculating 33% of $100.
B.You should find the discounted price of the gear first.
C.The tax should be calculated on the original $100 price.
D.The discount should be calculated on the original $100 price.
Answer:
a, d
Step-by-step explanation:
Hope this helps
let me know weather it is right or wrong
The price of trail mix at a health food store is
$7.50 per pound. At that rate, what is the total
cost of three 8-ounce bags of trail mix?
Answer:
$3.75 every 8 oz bags.
Step-by-step explanation:
7.5 divided by 2 to get 3.75. 1 LB is equal to 16 oz so 8 is half of 16.
Last month of the visitors at the zoo saw the panda. This month of the visitors at the zoo saw the panda. What fraction more of the visitors saw the panda this month? Simplify the answer if possible.
A. 1/12
B. 1/4
C. 1/6
D. 3/4
Answer:
There is no way of finding out.
Step-by-step explanation:
Write in point slope form the equation for the line that goes through the point (-1,-6) and has a slope of 16
Answer:
y+6 = 16 (x+1)
Step-by-step explanation:
Point slope form of an equation is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y- -6 = 16 (x- -1)
y+6 = 16 (x+1)
What is the equation of this line?
A y= 6x - 4
B y= 1/4 x -6
C y=6x - 1/4
D y= 4x - 6
Answer:
the answer is D pls brainliesttt
Someone plz help me I’m begging
Answer:
answer is D
pls I don't confirm sorry
PLS HELP IT’S DUE TMR!!
Answer:
Use ≈ (approximately equal) sign as the scientific notation.
Step-by-step explanation:
(a) 0.001872 ≈ 0.0019
(b) 0.3411 ≈ 0.34
(c) 0.000845 ≈ 0.00085
*Zeros before non-zero numbers are not significant.
*Zeros appearing between two non-zero digits are significant.
Hope this helps!!
Compare the fractions using the LCM.
1\7,2\3
Enter the correct inequality in the box.
Answer:
42
Step-by-step explanation:
1*3=3
it becomes 2,3 and 7
you will get the answer as 42
HELP!!! Worth 50 points
Answer:
with what
Step-by-step explanation:
I am confused there is no question at all showing
Answer:
Answer:
The correct answer is C - 7.8 < 7 5/6 < 7.9
Step-by-step explanation:
First, convert 7 5/6 to decimal form --> 7.83.
If you don't know how to convert, think about what 5/6 is equal to and put it in decimal form. Add your decimal to the whole number, and there is your answer.
7.83 is in between 7.8 and 7.9, so it must be the answer.
I hope this helps!
Step-by-step explanation:
To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?
Answer:
1
Step-by-step explanation:
Answer:
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
Step-by-step explanation:
Set up a table (attached) that summarizes and organizes the data. Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school. We know that distance = (speed)*(time).
The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.
TRIPS
1 2
House/Shed A 6 18 km/hr
Shed/School B 15 27 km/hr
18'30" 10'10" min
18.5 10.16 min
0.308 0.169 hr [Convert the minutes into hours]
[The distance divided by the speed will give the time required for each segment, A and B].
Trip 1: 1) A/6 + B/15 = 0.308
Trip 2: 2) A/18 + B/27 = 0.169
Trip 1: A/6 + B/15 = 0.308
A + (6/15)B = 1.85 [Multiply each side by 6]
A = 1.85 - (6/15)B [Rearrange]
A = 1.85 - (0.4)B [This will be the defination of A we'll use in the second equation]
Trip2: A/18 + B/27 = 0.169
(1.85 - (0.4)B)/18 + B/27 = 0.169 [Use A= 1.85 - (0.4)B from above]
27(1.85 - 0.4B)/18 + B = 27*(0.169) [Multiply each side by 27]
1.5*(1.85-0.4B) + B = 4.58
2.78 - 0.6B + B = 4.58
0.4B = 1.85
B = 4.47 km
Now use B = 4.47 km in either original equation to find A.
A/18 + B/27 = 0.169
A + (18/27)B = 18*(0.169) {Multiply both sides by 18]
A + (0.67)B = 3.042
A + (0.67)(4.47) = 3.042
A + (2.98) = 3.042
A = 0.062 km
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
I don’t know what I got wrong on this problem. Can someone please help me?
Answer:
x is equal to the length of that side of the triangle, the x is written on (the distance between the log ride and the pirate ship). You can visually see that both of the long sides of that triangle are equal. See how they look the same? The other side of that triangle (the distance between the Big Top Tent and the Pirate Ship) has a given length written, it says "25 m." So the x side, which is equal is also 25 m. The value of x is 25 m.
Step-by-step explanation:
The school that Michael goes to is selling tickets to a dance. On the first day of ticket sales the school sold 3 staff tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 staff tickets and 2 student tickets. Find the price of a staff ticket and the price of a student ticket.
The price of a staff ticket and the price of a student ticket is $8 and $14
Given:
Day 1:
Number of staff tickets sold = 3
Number of students tickets sold = 1
Total revenue day 1 = $38
Day 2:
Number of staff tickets sold = 3
Number of students tickets sold = 2
Total revenue day 2 = $52
let
cost of staff tickets = x
cost of students tickets = y
The equation:
3x + y = 38 (1)
3x + y = 38 (1)3x + 2y = 52 (2)
subtract (1) from (2)
2y - y = 52 - 38
y = 14
substitute y = 14 into (1)
3x + y = 38 (1)
3x + 14 = 38
3x = 38 - 14
3x = 24
x = 24/3
x = 8
Therefore,
cost of staff tickets = x
= $8
cost of students tickets = y
= $14
Read more:
https://brainly.com/question/22940808
Pls help
I will mark as brainliest
Answer:
-12оэээжжоояффпвнтоее
Just a very quick question for any people willing to answer this question.
4 less than the number n is -15.
(Please type equation and solution!)
Answer:
n=-11
Step-by-step explanation:
n-4=-15
n-4+4=-15+4
n=-11
+{-x2y+[-(x2y-2xy2+y2)+(-xy2-3y2+x2y)]-(10y2-x2y)}
Answer:
3xy² - 14y²
Step-by-step explanation:
I hope that this is the problem
- x²y + [ - (x²y - 2xy² + y²) + (xy² - 3y² + x²y)] - (10y² - x²y)
= - x²y + [ - x²y + 2xy² - y² + xy² - 3y² + x²y] - 10y² + x²y
Now combine like terms in the [ ].
= - x²y + [ -x²y + x²y + 2xy² + xy² - y² - 3y² ] - 10y² + x²y
= - x²y + [ 0 + 3xy² - 4y²] - 10y² + x²y
= - x²y + 3xy² - 4y² -10y² + x²y Now combine like terms
= (-x²y + x²y) + 3xy² + (-4y² - 10y²)
= 0 + 3xy² - 14y²
= 3xy² - 14y² or y²(3x - 14)