Given :
Ellis is making some beef burgers for his friends.
His recipe 500g of beef mince and 120g of cheese to make four burgers.
He buys 1.5 of mince and 400g of cheese, and makes as many burgers as possible.
To Find :
How much cheese will he have left over.
Solution :
500 g and 120 g of beef mince and cheese respectively make 4 burgers.
125 g and 30 g of beef mince and cheese respectively make 1 burgers.
Now, we will keep increasing the ingredients until there is any shortage of any ingredients.
1000 g and 240 g will make 8 burgers.
1500 g and 360 g will make 12 burgers.
1625 g and 390 g will make 13 burgers.
Cheese left is ( 400 - 390 ) g = 10 g.
Therefore, 10 grams of cheese will be left.
You are going on a trip. To get to the beach, you have to drive 475 miles. If you can average 50 miles per hour on your drive, which equation shows how much farther you have to drive over time?
Answer:
C= -50x+475
Step-by-step explanation:
Step one:
given data
distance travelled = 475miles
velocity = 50miles per hour
let the distance you cover per hour be x
hence per hour, your distance decreases by 50x hours
Required:
The expression for the distance remaining
Step two:
let the distance remaining be C
hence the expression
C= -50x+475
Answer:
The answer is in the picture.
select two figures that have the same volume. A. cone with base radius 6 and height 3. B. cone with base radius 5 and height 6. C. cone with base radius 4 and height 9. D. cone with base radius 3 and height 12
Answer:
I believe it is c and d
Step-by-step explanation:
math stuff and math
What is the slope of the equation y-2= -6(x+6)
THE GREATEST PRODUCT
You have sixty seconds to arrange the numbers 3.456
and 7 in the boxes below to get the largest productible
Each number may be used only once
Answer:
7*6543=45801
Step-by-step explanation:
We have the digits 34567 and must arrange them into a product with the largest possible value.
It's clear that we must place the largest digits to the left, so they represent larger numbers to multiply.
Let's try with:
7654*3=22962
765*43=32895
76*543=41268
7*6543=45801
This last combination definitely produces the largest product
Answer: 7*6543=45801
Simplify the following equations
Step-by-step explanation:
Given the expressions
1)
[tex]\sqrt[5]{16} * \sqrt[5]{2} \\= 16^{1/5} * 2^{1/5}\\= 2^{4(1/5)} * 2^{1/5}\\= 2^{4/5} * 2^{1/5}\\= 2^{4/5+1/5}\\= 2 ^{5/5}\\= 2^1\\= 2\\\\[/tex]
2)
[tex]\frac{\sqrt[4]{243}}{\sqrt[4]{3}} \\= \frac{243^{1/4}}{3^{1/4}}\\= \frac{3^{5/4}}{3^{1/4}}\\=3^{5/4-1/4}\\= 3^{4/4}\\= 3[/tex]
3)
[tex](3+\sqrt{2} )(4+\sqrt{7} )\\= 3(4) + 3\sqrt{7} + 4\sqrt{2} + \sqrt{14} \\= 12 + 3\sqrt{7} + 4\sqrt{2} + \sqrt{14} \\[/tex]
Heather buys 12 patio chairs for $366. Each chair costs the same amount. Part A Which equation represents the best estimate for the cost of each chair?
Answer:
[tex]C=\dfrac{366}{12}[/tex] = $30.5
Step-by-step explanation:
It is given that,
The cost of 12 patio chairs is $366.
We need to find the equation that represents the cost of each chair.
As each chair costs the same amount. It means we can find the cost of each chair by dividing total cost of 12 chairs divided by 12 i.e.
[tex]C=\dfrac{366}{12}[/tex]
So, it is the required equation. If we solve it, we get $30.5. Hence, the cost of each chair is $30.5
What’s your favorite Christmas song? Or favorite Christmas tradition?
Answer:
my favorite christmas song is white christmas
Step-by-step explanation:
X Y
27 9
48 16
63 21
Does Y vary directly with x
Yes or no
Yay someone help me I’ll mark brainlest if ya as ser first!
Answer:
Least to greatest is 81/10, 8 1/9, 8.115 and 9.95
Step-by-step explanation:
Find the exact length of the third side. 20 21
Answer:
I am assuming these are the legs of a right triangle, in which the answer is 29
Step-by-step explanation:
help me or ill fail algebra one I HAVE 4 MODULES AND IM ON 3.5 I GOTTA FINISH BY JANURARY 22 PLS HELP
SOLVE THESE RATIONALS EQUATIONS
Answer:
4 times 3 equals 12 minus 1 is 11/12 the one you chose is right i hope you dont fail algebra cuz of me
Step-by-step explanation:
HELP PLEASE I GIVE A LOT OF POINTS JUST ANSWER QUICK
Answer:
See answers below (and image for functions)
Step-by-step explanation:
g(x) = (3)^5x is a horizontal compression
h(x) = 4(3)^x is a vertical stretch since |a|>1
p(x) = 1/2(3)^x is a vertical compression since 0<|a|<1
w(x) = 3^0.2x is a horizontal stretch
Please help me with this
Answer:
55% in Decimal form: 0.55. 55% in Fraction form: 55/100. Hope this helps
Step-by-step explanation:
Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at x = 1.
Answer:
The cubic function is f(x) = (27/32)·x - 3/32·x³ - -9/32·x² - 9/32
Step-by-step explanation:
The given function is f(x) = a·x³ + b·x² + c·x + d
By differentiation, we have;
3·a·x² + 2·b·x + c = 0
3·a·(-3)² + 2·b·(-3) + c = 0
3·a·9 - 6·b + c = 0
27·a - 6·b + c = 0
3·a·(1)² + 2·b·(1) + c = 0
3·a + 2·b + c = 0
a·(-3)³ + b·(-3)² + c·(-3) + d = -3
-27·a + 9·b - 3·c + d = -3...(1)
a + b + c + d = 0...(2)
Subtracting equation (1) from equation (2) gives;
28·a - 8·b + 4·c = 3
Therefore, we have;
27·a - 6·b + c = 0
3·a + 2·b + c = 0
28·a - 8·b + 4·c = 0
Solving the system of equations using an Wolfram Alpha gives;
a = -3/32, b = -9/32, c = 27/32 from which we have;
a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0
d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32
The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).
A 5 pound Cartoon Clementine oranges is priced at $4.30 what is the price per pound of Clementine oranges
Answer:
The answer to your question is 0.86.
Step-by-step explanation:
a car that was originally worth 29500$ it depreciates at a rate of 2500$ per year find the value of the car after six years
Answer:
14,500
Step-by-step explanation: Just took the test.
for
A purse costs $21.50 plus 7.5% tax. How much tax will a customer pay
the purse?
A)$0.75
B)$1.61
C)$3.76
D$16.13
Look at the right triangle shown below. Which of the folllowing could not be the triangle’s dimensions?
Answer:
5,12,13
Step-by-step explanation:
The sides are almost close for the distance and so 5 doenst go with 12 and 13, its too small. For dimensions while the other numbers are close to being related. Do you know what I mean?
Hope this helped a little tho!
A 93 L batch of Ropivacaine is being made. The specific gravity is 1.01 g/mL. 196.42 g of Ropivacaine and 799.8g of sodium chloride are added. What is the weight of the water to be added to QS the solution?
Answer:
92.93378 kg
Step-by-step explanation:
Given that:
Volume of Batch = 93 L
= 93 × 1000 (since 1 L = 1000 mL)
= 93000 mL
Specific gravity = [tex]\dfrac{density \ of \ solution}{density \ of \ water}[/tex]
where;
density of water = 1 g/ml
specific gravity = 1.01 g/mL
Density of solution = (1.01 × 1) g/mL
Density of solution = 1.01 g/mL
[tex]Density \ of \ solution = \dfrac{mass \ of \ batch }{volume \ of \ batch}[/tex]
mass of batch = 1..01 g/mL × 93000 mL
mass of batch = 93930 g
Now, the mass of additional water = mass of (batch - Ropivaciance - sodium chloride)
= 93930 g - 196.42 g - 799.8 g
= 92933.78 g
Since 1kg = 1000 g
The weight of the water to be added to the QS solution is:
[tex]=\dfrac{92933.78}{1000}[/tex]
= 92.93378 kg
Nobody answered me all day and I really need help can someone answer this?
Answer:
reflect over y axis
x+1 y+4
Step-by-step explanation:
Answer:
y axis -2, 4
Step-by-step explanation:
6. Henry examined the table that represents values satisfying the function shown
below.
fax)
0 -18
1
2
4.
3
4.
-6
5 -8
6 0
7 24
8 70
Ollo
Based on the information in the table, select all the key features that are correct.
The y-intercept of the graph of the function is at (0, -18)
The maximum value of the function is 4.
A local minimum is located within the interval 3 sxs6
A local maximum is located within the interval 1
The function is increasing within the interval 6 sxs8
n
Answer:
The maximum value of the function is 4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A pair of angles is supplementary if the sum of their measures is 180 degrees. A pair of angels is complementary if the sum of their measures 90 degrees. the supplement of a given angel is 10 degrees more than twice its complement. Let 90-x equal the degree measure of its complement and 180-x equal the degree measure of its supplement. Write and solve an equation to find the measure of the given angel.
Answer:
The measure of the complement =
= 80°
The measure of the supplement=
= 170°
Step-by-step explanation:
Let
90-x equal the degree measure of its complement
180-x equal the degree measure of its supplement.
We are told in the question that: the supplement of a given angle is 10 degrees more than twice its complement.
Hence, the Equation is;
(180 - x) = 10° + 2(90 - x)
180 - x = 10 + 180 - 2x
Collect like terms
-x + 2x = 10 + 180 - 180
x = 10°
Hence,
The measure of the complement =
90 - x
= 90 - 10
= 80°
The measure of the supplement=
180 - x
= 180 - 10
= 170°
if you eat 4 medium strawberries you get 48% of your daily recommended amount of vitamin c what fraction of your daily amount of vitamin c do you still need
Three people need to peel 1000 potatoes working together. Stacey starts at 2 PM peeling 20 potatoes per hour. Rob starts at 3 PM peeling 30 potatoes per hour, and James starts at 4 PM peeling 40 potatoes per hour. If they work continuously, at what time will the 1000 potatoes be peeled ?
Answer:
They would be done by 2 : 18 AM
Step-by-step explanation:
Key Information:
- Stacey starts at 2 PM peeling 20 potatoes per hour
- Rob starts at 3 PM peeling 30 potatoes per hour
- James starts at 4 PM peeling 40 potatoes per hour
At 5pm;
Stacy would have worked for 3 hours and would have peeled ( 3 * 20 = 60 potatoes)
Rob would have worked for 2 hours and would have peeled ( 2 * 30 = 60 potatoes)
James would have worked for an hour and would have peeled ( 1 * 40 = 40 potatoes)
Total number of potatoes peeled at 5pm = 60 + 60 + 40 = 160 potatoes
Potatoes left = 1000 - 160 = 840 potatoes.
The new peeling rate for three of them combined is (20 + 30+ 40 ) = 90 potatoes per hour.
Rate = potatoes left / time;
Time = Potatoes / Rate
Time = 840 / 90 = 9.3 hours = 9 hours 18 minutes
Total time taken = 9 hours 18 minutes + 3 hours = 12 hours 18 minutes
They would be done by 2 : 18 AM
Answer:
2:20 am
Step-by-step explanation:
Stacey's start time = 2 pm
Rate = 20 per hour
Rob start time = 3pm
Rate = 30 per hour
James start time = 4pm
Rate = 40 per hour
Number of potatoes = 1000
By 4 pm when James started :
(2 * 20) + (1 * 30) = 40 + 30 = 70
Potatoes left at 4pm = 1000 - 70 = 930 potatoes
Number of potatoes peeled per hour staring from 4 pm:
20 + 30 + 40 = 90 potatoes
Time taken to peel 930 potatoes will be :
930 / 90 = 10.333333 hours
(0.33333 * 60) = 19.9998 minutes
10.3333 hours = 10 hours 19.99998 minutes = 10 hours 20 minutes
Hence, from 4pm = 4pm + 10 hours 20 minutes = 2 : 20 a. M
how many thirds are in 8/3
Answer:
8
Step-by-step explanation:
just take the numerator and thats how many
A stock has an expected return of 10.5 percent, a beta of 1.55, and the expected return on the market is 8.5 percent. What must the risk-free rate be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer: 4.86%
Step-by-step explanation:
The Capital Asset Pricing Model can be used;
Return = Risk free rate + beta * ( market return - risk free rate)
10.5% = Rf + 1.55 * (8.5% - Rf)
10.5% = Rf + 0.13175 - 1.55Rf
10.5% - 0.13175 = -0.55Rf
-0.02675 = -0.55Rf
Rf = -0.02675/-0.55
= 0.0486
= 4.86%
For every `8` boys wearing neon blue, there are `2` girls wearing neon blue. If there are `32` boys wearing neon blue, how many girls are wearing neon blue?
Answer:
8:2
32:8
Step-by-step explanation:
It's pretty simple:
If there's 32 boys, which is 4 times the amount you start with, you have to apply that to the number of girls as well since for every 8 boys, there is 2 girls.
8x4
2x4
32:8 Hope this helps
Answer:
8 girls are wearing neon blue.
Step-by-step explanation:
There are several ways to do this but one of them is to find how many groups of 8 boys are in 32. To do this we divide 32 by 8 which equals 4. We then multiply 2 by 4 which is 8.
1. Factorize :
(a) 2x + 6
Answer:
2(x+3) is the correct answer
Step-by-step explanation:
2 × x=2x 2×3=6
2x+6
2(x+3)
Answer:
2x=6/:2
x=3
that's the answer
Use the order of operations to simplify 5(3 1/5 + 2 4/5) - 0.6.
A. 29.4
B. -16
C. 23 2/5
D. 30.6
Answer:
A. 29.4
Step-by-step explanation:
5(3 1/5 + 2 4/5) - 0.6
5(6) - 0.6 parenthesis
30 - 0.6 multiplication
29.4 subtraction
HELP 55 POINTS!
Determine if each set of ordered pairs represents a function.
(2, 3). (6,-5), (-1,3)
(1, 9), (-3, -2) (1, -4)
(7,4). (0, 9), (2, -2)
(0, 3). (0, 7), (4, 0)
(-6, 5), (-5,6), (8, 2)
Function
Not a Function
Answer:
(2,3) function
(1,9) not
(7, 4) function
(0,3) not
(-6,5) function
