9514 1404 393
Answer:
replace recipe quantities:
1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5
Step-by-step explanation:
The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.
The numbers in the recipe (ignoring units or ingredients) are ...
1/4, 1/2, 1, 1 1/2, 2
Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.
1/4 × 5/2 = 5/8
1/2 × 5/2 = 5/4 = 1 1/4
1 × 5/2 = 5/2 = 2 1/2
(1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4
2 × 5/2 = 5
Then, to make the larger recipe, rewrite it with the quantities replaced as follows:
old value ⇒ new value
1/4 ⇒ 5/8
1/2 ⇒ 1 1/4
1 ⇒ 2 1/2
1 1/2 ⇒ 3 3/4
2 ⇒ 5
__
For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes
_____
Additional comment
If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)
There are 3 teachers to 125 pupils during the school program. How many teachers were
there if there were 2 500 pupils
Answer:
There were 60 teachers.
Step-by-step explanation:
☆We can use proportion to solve this!
[tex] \frac{3 \: teachers}{125 \: pupils} = \frac{x}{2500 \: pupils} \\ \\ \frac{125x}{125} = \frac{7500}{125} \\ \\ x = 60[/tex]
Pls help?!?!?! 10 points
Answer:
I solved it for u!
Hope ot helps!!!
A line perpendicular to y=2/5x+1
Answer:
y = -⁵/₂x + bStep-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = ²/₅x + 1 ⇒ m₁ = ²/₅
²/₅m₂ = -1 ⇒ m₂ = -⁵/₂
So, any line with slope m = -⁵/₂ will be perpendicular to y = ²/₅x + 1
What is the value of 1 − 2sin2(105°)?
a Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
b Negative one-half
c One-half
d StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answer:
D. d StartFraction StartRoot 3 EndRoot Over 2 EndFractionStep-by-step explanation:
What is the value of 1 − 2sin^2(105°)?
Given the expression
1 − 2sin²(105°)
= 1 - 2(sin105)²
= 1 - 2(0.9659)²
= 1 - 2(0.9330)
= 1 - 1.8660
= 0.8660
0.8660 can also be expressed as √3/2
Hence 1 − 2sin²(105°) is √3/2
Answer: D
Step-by-step explanation:
It IS sqrt3/22
A magic square is a square array of numbers arranged so that the numbers in all rows, all columns, and the two diagonals have the same sum. Use the properties of a magic square to fill in the missing numbers in the magic square on the right. CO. 16 24 Use the figure with the letters below to give the missing numbers. CO A= B= C= B 16 D= E= E 24
Answer:
I think a is 9 cause 9+ 8 is 17 ??
The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
If we make the sum of each side diagonally then the sum should be 48.
So,
D+ 16 + 17 = 48
D = 15
And
15 + B + 8 = 48
B = 25
And,
25 + 16 + C = 48
C = 7
And,
8 + A + 17 = 48
A = 23
And,
15 + E + 24 = 48
E = 9
Hence "The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively".
For more information about summation
brainly.com/question/10777222
#SPJ2
What is the slope of the line through (0,5) and (-2, -1)?
(0.5)
3
2
X
2
4
-4 -3
+(-2,-1)
-1
-2
-3
A. -3
O
B. -
o
C. 3
O
D.
10
PREVIOUS
Answer: 3
Step-by-step explanation:
*Slope formula*
Y2 - Y1 / X2 - X1
-1 - (5) / -2 - (0) = -6/-2 = 3
Jada had some dimes and quarters that had a total value of $12.50. The relationship between the number of dimes, d, and the number of quarters, q, can be expressed by the equation 01.d+0.25q= 12.5.
Question 1 - 1 pts
If Jada has 4 quarters, how many dimes does she have?
Question 2 - 1 pts
If Jada has 10 quarters, how many dimes does she have?
Question 3 - 1 pts
Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.
Question 4 - 1 pts
If Jada has 25 dimes, how many quarters does she have?
Question 5 - 1 pts
If Jada has 30 dimes, how many quarters does she have?
Question 6 - 1 pts
Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q =...) that you can use to determine the output, q, from a given input, d. If no, explain why not.
Is the following statement true or false?
The triangle proportionality theorem only applies to right triangles.
A.) False
B.) True
Answer:
A.) False
Step-by-step explanation:
The triangle proportionality theorem can apply to all triangles, because if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally. This situation does not just apply to right triangles.
Answer:
I think it's actually True
Step-by-step explanation:
The triangle proportionality theorem can apply to all triangles, because if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally. This situation does not just apply to right triangles.
Which table shows a function that is decreasing only over the interval (-1, oo)?
х
-3
-2
-1
0
1
2
f(x)
-1
-3
-5
-2
-1
2
х
-3
-2
-1
0
1
2
f(x)
-3
-5
-7
-6
1
|--1
х
-3
-2
-1
0
1
2
f(x)
-4
-3
-1
2
1
-6
O
f(x)
х
-3
-2
-1
0
1
2.
-1
1
0
4
-8
Answer:
the thrid one
Step-by-step explanation:
The table that shows a function that is decreasing only over the interval (-1, oo) is table 3
For a table to show a decreasing interval, then the table values must reduce as the x value increase
The interval (-1, oo) means that, -1 is exclusive of the x values.
So, we start from x > -1
The first table shows an increasing function for x > -1
The second table shows an increasing and decreasing function for x > -1
The third table shows a decreasing function for x > -1
The last table shows a decreasing function for x > -1 but increases at other values
Hence, the table that shows a function that is decreasing only over the interval (-1, oo) is table 3
Read more about continuous functions at:
https://brainly.com/question/9412728
Monica swims the 200, 400, and 1,000 meter freestyle swimming events. At the last swimming meet she swam the 200m in 1 minute 4 seconds, 400m in 2 minutes 31 seconds, and the 1,000 meter in 7 minutes 11 seconds. What were her average speeds in all these events (meters/second)?
Answer:
a) 200 meters = 3.125 meters/seconds
b) 400 meters = 2.649 meters per second
c ) 1000 meters = 2.320 meters per second
Step-by-step explanation:
The formula for Average speed = Distance/ Time
Monica swims the 200, 400, and 1,000 meter freestyle swimming events.
We are to calculate: average speeds in all these events (meters/second).
At the last swimming meet she swam
For the 200m
Time 1 minute 4 seconds
60 seconds = 1 minutes
Hence, Time = 60 + 4 = 64 seconds.
Average speed = 200m/64 seconds
= 3.125 meters/seconds
For 400m
Time = 2 minutes 31 seconds
1 minute = 60 seconds
2 minutes = 60 × 2 = 120 seconds
Total time = 120 + 31 seconds = 151 seconds
Hence, Speed = 400m/151 seconds
= 2.649 meters per second
For 1,000 meter
Total time = 7 minutes 11 seconds.
1 minute = 60 seconds
7 minutes = 60 × 7 = 420 seconds
Total time = 420 + 11 seconds = 431 seconds
Hence, Speed = 1000m/431 seconds
= 2.3201856148 meters per second
Approximately = 2.320 meters per second
Therefore her speed were
a) 200 meters = 3.125 meters/seconds
b) 400 meters = 2.649 meters per second
c ) 1000 meters = 2.320 meters per second
Answer:
3.125m/s
2.469 m/s
2.320 m/s
Step-by-step explanation:
Average speed = total distance / total time
60 seconds = 1 minute
Converting minute into second = (1 x 60) + 4 = 64 seconds
(2 x 60) + 31 = 151 seconds
(7 x 60) + 11 = 431 seconds
Average speed = 200 meters / 64 seconds = 3.125m/s
Average speed = 400 meters / 151 seconds = 2.469 m/s
Average speed = 1000 meters / 431 seconds = 2.320 m/s
sea level = 0
A submarine is 120 ft below sea level. It climbs 50 ft towards sea level.
Where is the submarine compared to sea level now?
A. −170 ft
B. 70 ft
C. −70 ft
Answer:
c. -70
Step-by-step explanation:
subtract 50 from 120 you get 70, and since we are below sea level it is negative
3^(4x-5) = (1/27)^(2x+10) show your work
Answer:
3^4x-5=1/27^2x+10
We move all terms to the left:
3^4x-5-(1/27^2x+10)=0
Domain of the equation: 27^2x+10)!=0
x∈R
We get rid of parentheses
3^4x-1/27^2x-10-5=0
We multiply all the terms by the denominator
3^4x*27^2x-10*27^2x-5*27^2x-1=0
Wy multiply elements
81x^6-270x^2-135x^2-1=0
We do not support expression: x^6
Step-by-step explanation:
Evaluate the function:
f(x)=x2−x, find f(−10)
For each year that a gift card goes unused, the value of the card decreases by 5%. What is the value of a $25.00 gift card after 1 year? Show your work.
Answer:
25*0.95 = 23.75
Step-by-step explanation:
i multiplied by 0.95 because the card is still worth 95% of it's original worth.
you could've done:
25*0.05= 1.75 and then subtract that from 25 to get 23.75, i just find the other way easier.
i hope this helped :)
6h + 24 = 0
What is h?
Answer:
h= -4
Step-by-step explanation:
6h + 24 = 0
subtract 24 on both sides
6h = -24
divide 6 on both sides
h= -4
Sheldon gets paid $4 per hour to babysit his cousin. This
weekend, he babysat on both Saturday and Sunday. He
made a total of $56. Sheldon babysat for 8 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.
Answer:
6
Step-by-step explanation:
4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.
Given that f(x)=2x+1
a) find f(2)
b)find f^-1(x)
c)f^-1(7)
Answer:
a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]
Step-by-step explanation:
a) We evaluate the function at [tex]x = 2[/tex]:
[tex]f(2) = 2\cdot (2) + 1[/tex]
[tex]f(2) = 4+1[/tex]
[tex]f(2) = 5[/tex]
b) First, we determine the inverse of the function by algebraic means:
1) [tex]y = 2\cdot x + 1[/tex] Given
2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property
3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property
4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties
5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties
6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality
7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division
8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result
c) Now we evaluate the expression obtained on b) at the given number:
[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]
[tex]f^{-1} (7) = 3[/tex]
Hhhjeeeeelllppppp pppplllllsss
Answer:
c= 89
Step-by-step explanation:
the angles of a triangle add up to 180
in this triangle, our angles are:
c-33
c-25
c-29
this means that
(c-33) + (c-25) + (c-29) = 180
3c - 87 = 180
add 87 to both sides
3c = 267
divide both sides by 3
c = 89
Enter your answers in the boxes.
m =
Answer:
m = [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
A( [tex]x_{1}[/tex] , [tex]y_{2}[/tex] )
B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
[tex]m_{AB}[/tex] = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~
(0, 2)
(7, 7)
m = [tex]\frac{7-2}{7-0}[/tex] = [tex]\frac{5}{7}[/tex]
help me translate this into an expression!
" Four times the quotient of twice a number and eight "
thank you!
Answer:
[tex]4(\frac{2x}{8})[/tex]
Step-by-step explanation:
There you go! :)
HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form
Answer:
y=-0.25x +6
Step-by-step explanation:
3=(-0.25)12+c
3=-3+c
6=c
santiago drew a scale drawing of a community college. he used the scale 2 centimeters : 1 meter. The actual length of a building at the college is 76 meters. how long is the building on the drawing ?
Answer:
The building is 152 cm long.
Step-by-step explanation:
-We can solve using proportion!:
[tex]\frac{2 cm}{1 meter} = \frac{x}{76 meters} \\\\\frac{1x}{1} =\frac{152}{1} \\\\\\x = 152[/tex]
What is the solution to 2x-8<12?
x<2
x<8
x<10
x<40
What is the quadratic formula?
Answer:
Step-by-step explanation:
Answer:
x = [tex]\frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]
Ignore the capital A for this equation when it is ax^2+bx+c=0
Which equation js equivalent to 4(2x-3)-3(x-4)+7x=6?
solve the equation:
3t²-3t+1=0
Answer:
There are no solutions
Step-by-step explanation:
Answer:
?? im not very good at math
Step-by-step explanation:
Tiffany spent 30 minutes on math homework and 15 minutes on science homework. What is the ratio of the minutes she spent on math homework compared to the minutes she spent on science homework?
Answer: The ratio would be 30/15, simplified as 2/1. So, she spent half as much time on science, or twice as much on math.
Step-by-step explanation:
-2x - (-18x + 126) = -18
Answer:
6.75 or 6and 3/4
Step-by-step explanation:
-2x - (-18x + 126) = -18
-2x + 18x - 126 = -18
16x = -18 + 126
16x = 108
x = 6.75 OR 6 3/4
Pls makr brainliest tysm
The scale on a map is 4 cm = 25 miles. Dave measures the distance to the next town at 9 cm. How many miles away is the next town?
Answer:
58.333....
Step-by-step explanation:
8cm=50
1cm so 25/3
8.3333333333
Answer:
56.25 or 56 1/4
Step-by-step explanation:
If 4 cm is equal to 25 miles then we can divide 25 by 4 to see how many miles is in 1 cm.
25 divided by 4 is 6.25 or 6 1/4
Therefor 1 cm is equal to 6.25 miles.
Now we multiply 9 by 6.25 to get 56.25
4x³y²/4yx²•y⁴
I need to simplify that ^^