A recipe asks that the following three ingredients be mixed together as follows: add 1/2 of a cup of flour for every 1/2 of a teaspoon of baking soda, and every 1/4 of a teaspoon of salt.
Which of the following rates are unit rates equivalent to the ratios shown above? Select all that apply.
Answers
Answer:
Option 2: 1 teaspoon of baking soda per 1 cup of flour
Option 3: ½ teaspoon of salt per 1 teaspoon of baking soda
Step-by-step explanation:
The recipe has 3 ingredients mixed in the following ratio =>
½ of a cup of flour : ½ of a teaspoon of baking soda : ¼ of teaspoon of salt
Let's analyse each given options to see which rate is correct or not using the above ratio that makes a recipe:
Option 1 => 2 teaspoon of salt : 1 teaspoon of baking soda.
¼ salt : ½ baking soda
2 salt : x baking soda
Thus, ¼ / ½ = ²/x
Cross multiply
¼*x = ½*2
x/4 = 1
x = 4
Therefore, 2 teaspoon of salt will need 4 teaspoon of baking soda not 1.
Option 2 => 1 teaspoon of baking soda : 1 cup of floor.
½ baking soda : ½ flour
1 baking soda : x flour
Thus, ½ / ½ = ¹/x
Cross multiply
½*x = ½*1
x/2 = ½
Multiply both sides by 2
x = ½*2
x = 1
Therefore, 1 teaspoon of baking soda will need 1 cup of floor. This is correct.
Option 3 => ½ teaspoon of salt : 1 teaspoon of baking soda.
¼ salt : ½ baking soda
½ salt : x baking soda
Thus, ¼ / ½ = ½/x
Cross multiply
¼*x = ½*½
x/4 = ¼
Multiply both sides by 4
x = ¼*4
x = 1
Therefore, ½ teaspoon of salt will need 1 teaspoon of baking soda. This is correct.
Option 4 => 1 teaspoon of baking soda : 2 teaspoon of salt.
½ baking soda : ¼ salt
1 baking soda : x salt
Thus, ½ / ¼ = 1/x
Cross multiply
½*x = ¼*1
x/2 = ¼
Multiply both sides by2
x = ¼*2
x = ½
Therefore, 1 teaspoon of baking soda will need ½ teaspoon of salt not 2.
Option 5 => 2 teaspoon of salt : 1 cup of flour
¼ salt : ½ flour
2 salt : x flour
Thus, ¼ / ½ = ²/x
Cross multiply
¼*x = ½*2
x/4 = 1
x = 4
Therefore, 2 teaspoon of salt will need 4 cup of flour not 1.
The correct options are option 2 and option 3.
Related Questions
Determine the domain :y=|x+5|+1
Answers
Answer:
B im pretty sure
Step-by-step explanation:
Answer:
Domain: ( − ∞ , ∞ ) , { x | x ∈ R }
Range: [ 1 , ∞ ) , { y | y ≥ 1 }
Step-by-step explanation:
ind the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
multiply
97.062x12.5
Answers
Answer:
1213.275
or
48,531/40
As a fundraiser for a band trip, the Edison Middle School Band plans to sell hats that feature the
school logo. The company producing the hats will charge the band $240 for the design and set-up
costs, plus $8 per hat. The band members have decided to sell the hats for $12 each.
a. Write an equation that represents the production cost in dollars to make the hats. Describe
what your variables represent.
b. Write an equation that represents the amount of money the band will make from selling the
hats. Describe at your variables represent
Answers
Answer:
a. c=240+8x
b. e=12x
Step-by-step explanation:
a. The equation would indicate that the production cost in dollars is equal to the design and set-up cost plus the cost per hat for the number of hats produced:
c=240+8x, where c is the production cost in dollars and x is the number of hats produced.
b. The equation would indicate that the amount of money the band will make from selling the hats is equal to the price per hat for the number of hats sold:
e=12x, where e is the amount of money the band will make from selling the hats and x is the number of hats sold.
1. Compare using >,<, or =. d. 24 tenths ______2.5
Answers
Answer:
<
Step-by-step explanation:
[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]
Which equation matches the graph
Answers
Answer:
C
Step-by-step explanation:
the slope is -4 and the y-intercept is -1
hope this helps :3
PLS HELP MARKING BRAINLY ASAP!!!!!!!!!!!!!!!!!!
Answers
first you would have to go on the right side of the X axis and put a point on 2 and go up 3 and place a point there.
next you can do the same thing but got the the left side of the X axis and that will be the negative side of the numbers.
Help please
-x^3 = 216
a. +/- 6
B. 6
C. -6 ∛6
D. -6
Answers
Answer:
D. -6
Step-by-step explanation:
SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct
x-3/7=x+1/32 solve the equations
Answers
Answer:
invalid
Step-by-step explanation:
combine like terms
invalid
0 is not equal to anything
Find the exponential function evaluate of
Y=2.5x
Answers
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 2.52.5
y-intercept: (0,0)
x y
0 0
1 2.5
丼
what is 20 1/6% as a fraction
Answers
Answer:
1.6
Step-by-step explanation:
1 x 20
6 x 1
=
20
6
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 20 and 6 is 2.
We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.
20/2 = 10
6/2 = 3
10/3
The complete and simplified answer to the question what is 1/6 of 20 is:
3 1/3 = 1.6
so basically what i did is convert 3 1/3 as a simplified fraction and got 1.6
Given h(x) = 5x + 3. what is the value of h(-11)
Answers
Answer:
h(-11)=-52
Step-by-step explanation:
Answer:
h(x)=52
Step-by-step explanation:
so x= -11 now plug in for x and solve
5(-11)+3
-55+3= -52
A 168-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Answers
Answer:
42
Step-by-step explanation:
168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.
Triangle ABC, in the coordinate plane, is reflected over the -axis to form shown on the coordinate plane below.
Answers
Answer:
I think it’s C
Step-by-step explanation:
Answer: (x,y) to (x,-y)
Step-by-step explanation:
PLZ HELP FAST
Suppose x and y give the populations of two different cities where x >y and y > 0. Compare the expressions and select which of the given pair is greater. X/ x +y (select) x+y /X
Answers
Answer:
(x + y)/x is greater than x/(x + y)
Step-by-step explanation:
Given.
x > y
y > 0
Required
Which is greater?
x/(x + y) or (x + y)/x
Since x is greater than y & y > 0
Then definitely,
x + y > x
By the above analysis:
(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)
While
x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.
All improper fractions are greater than all proper fractions,
Hence:
(x + y)/x is greater than x/(x + y)
To further explain this:
Take
x = 3 and y = 2
x/(x + y) = 3/(3 + 2) = 3/5 = 0.6
(x + y)/x = (3 + 2)/3 = 5/3 = 1.67
See that (x + y)/x is greater than x/(x + y)
And this is so for all values of x and y
Where x > y and y > 0
Answer:
is less than
Step-by-step explanation:
The function h is defined by h(x)= 2x^2+3. find h (3z).
Answers
h(3z) = 2(3z)^2 + 3 = 18z^2 + 3
h(3z) is equal to 18z² + 3
To find h(3z), we substitute 3z into the function h(x). This means we replace x with 3z in the expression for h(x).
h(3z) = 2(3z)² + 3
Simplifying this expression, we have:
h(3z) = 2(9z²) + 3
h(3z) = 18z² + 3
So, h(3z) is equal to 18z² + 3. This means that if we input any value of z into the expression, the function h will output the corresponding value by evaluating 18z² + 3.
The function h(3z) represents a quadratic expression in terms of z, where the coefficient of z² is 18 and there is a constant term of 3 added to the result.
Learn more about function here
https://brainly.com/question/33615657
#SPJ2
Can any one help me?
Answers
12x - 12 = 180
12x = 192
x = 16
The value of x is 16.
Explanation idkkkkk1
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Answers
Therefore the answer should be
x-intercept: (125, 0)
y-intercept: (0, 275)
f(x)=3x+1 what is the value of f(-2/3)
Answers
Answer:
f = -1
Step-by-step explanation:
f(x) = 3x + 1
f(-2/3) = 3(-2/3) + 1
f = -2 + 1
f = -1
Answer:
= -2f/3
Step-by-step explanation:
To multiply two numbers using scientific notation, you would ____ the exponents.
Answers
Answer:
add
Step-by-step explanation:
Answer:
Add
Step-by-step explanation:
To multiply numbers written in scientific notation, first multiply the coefficients and then add the exponents.
See if that helps.
why are these similar or not similar
Answers
Answer:
not similar
Step-by-step explanation:
the average or the blank is the blank divided by the blank or the amount of numbers being divided is what
Answers
Answer:
Numerrator is the denominator divieded by the other equations is the sum.
Step-by-step explanation:
Hope I helped
LUCILLES PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR.
HOW MANY PENCILS WILL FIT IN HER POUCH. will give brainlist
Answers
Answer:
18
Step-by-step explanation:
You would divide 48 by 8 and multiply it by 3. Otherwise, you could do
3/8 = x/48
x * 8 = 3 * 48
x * 8 = 144
/8 /8
x = 18
Try it
Solve the system of equations.
2x + 3y = 1
5x + 2 = 8
What is the solution?
Answers
Answer:
x=6/5 ,y= -7/15
Step-by-step explanation:
we are going to solve this simultaneously.
2x+3y=1.......(i)
and
5x+2=8
5x=6
x= 6/5 .......(ii)
Now let's put value of x into equation number (i)
2x+3y=1
2(6/5) +3y=1
12/5 +3y =1
3y= 1-(12/5)
3y = -7/5
y = (-7/5) ÷3
y= -7/15
Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
Answers
Answer:
P[2qp] = 0,467 or 46,7 %
Step-by-step explanation:
The probability of two of seven chemistry professors is equal to:
P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore
The total quantity of combinations is:
3 statistics professors + 7 chemistry professors taken in groups of 2 that is:
Te = (3 + 7) ! / 2!*(10-2)!
Te = 9!/ 2!*5! ⇒ Te = 9*8*7*6*5!/2!*8! ⇒ Te = 9*8!/2*8!
Te = 45
And successful events are:
C₇,₂ = 7!/2!*(7-2)!
C₇,₂ = 21
Finally, the probability that both professors are chemistry professors is:
P[2qp] = 21/45
P[2qp] = 0,467 or 46,7 %
The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Three statistics professors and seven chemistry professors are available to be advisors to a student organization.
The student organization needs two of the professors to be advisors.
If each professor has an equal chance of being selected.
The probability that both professors are chemistry professors will be
The total quantity of combinations will be
[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]
And successfull events will be
[tex]\rm F = \ ^7C_2 = 21[/tex]
Then the probability will be
[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
The following is the correct way to show the product for 0.297×7.1:
Answers
Answer:
2.1087
Step-by-step explanation:
0.297
7.1 +
2.1087
Evaluate 9sigma n=5 3n+2
Answers
Answer:
17
Step-by-step explanation:
make me as brienliest
Which type of data would be BEST displayed in a dot plot?
Answers
Answer:
Fourth Option
Step-by-step explanation:
The midpoint of AB is M(3,3). If the coordinates of A are (2, -1), what are the
coordinates of B?
Answers
Answer:
(4, 7)
Step-by-step explanation:
Given that:
Midpoint of AB = M(3, 3)
Coordinate of A = (2, - 1)
Let coordinates of B = (x, y)
Recall :
Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]
Mx = (Ax + Bx) / 2
My = (Ay + By) / 2
Mx = 3
Mx = (Ax + Bx) / 2
3 = (2 + x) / 2
2*3 = 2 + x
6 = 2 + x
6 - 2 = x
4 = x
My = 3
My = (Ay + By) / 2
3 = (-1 + y) / 2
2*3 = - 1 + y
6 = - 1 + y
6 + 1 = y
7 = y
Hence,
B = (4, 7)
1 point
Translate the words to an algebraic expression. "The first integer plus the next consecutive integer plus the next consecutive integer."
Answers
Answer:
3x+3
Step-by-step explanation:
The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."
Let the first integer is x.
Next consecutive integer of x = x+1
Other next consecutive integer of x+1 = x+1+1=x+2
ATQ,
The expression is :
=x+x+1+x+1+1
=3x+3
Point G is on line segment F H ‾ FH . Given F G = 5 x + 2 , FG=5x+2, G H = 3 x − 1 , GH=3x−1, and F H = 9 , FH=9, determine the numerical length of F G ‾ . FG .
Answers
Answer:
FG = 7
Step-by-step explanation:
From the question, we are given:
FG=5x+2, GH=3x−1, and F H = 9
FG + GH = FH
5x + 2 + 3x - 1 = 9
5x + 3x + 2 - 1 = 9
8x + 1 = 9
8x = 9 - 1
8x = 8
x = 8/8
x =1
We are determining the numerical length of FG
FG= 5x + 2
FG = 5(1) + 2
FG = 5 + 2
FG = 7
