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
I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE
Answers
so
y=9 -> y=18
*2
x=8 -> x=16
*2
so x = 16
Answer:
the only logical way solving this question is:
if y=9 then x=8
if y=18 then x should be 16
Step-by-step explanation:
I cant find any other way to solve
andre has x dollars. He buys lunch using 1/6 of his money and earns 8$ by doing chores after school
Answers
If RX = 4 and XS = 9, then XT =
Answers
(RX + XS)^2 = (RT)^2 + (ST)^2
=> (4+9)^2 = (RT)^2 + (ST)^2
=> 13^2 = (RT)^2 + (ST)^2 .....equation (1)
Triangle RTX and XST are also right triangles.
RT is the hypotenuse of RTX and ST is the hypotenuse os SXT.
Then, (RT)^2 - (RX)2 = (TX)^2 and (ST)^2 - (SX)^2 = (TX)^2
=> (RT)^2 - (RX)^2 = (ST)^2 - (SX)^2
=> (RT)^2 - (ST)^2 = (RX)^2 -(SX)^2
=> (RT)^2 - (ST)^2 = 4^2 - 9^2 = 16 - 81 = - 65
=> (ST)^2 - (RT)^2 = 65 ..........equation (2)
Now use equations (1) and (2)
13^2 = (RT)^2 + (ST)^2
65 = (ST)^2 - (RT)^2
Add the two equations:
13^2 + 65 = 2(ST)^2
2(ST)^2 =178
(ST)^2 = 234/2 = 117
Now use (ST)^2 - (SX)^2 = (TX)^2
=> (TX)^2 = 117 - 81 = 36
=> (TX) = √36 = 6
I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?
Answers
Answer:
18
Step-by-step explanation:
The tens digit a is cubed (a³ ) still less than the biggest possible 1 -digit number . It can be only 0 or 1 , so even 2³ =8 ( in such case the unit digit is 15,- that's not possible) .
0 can not be the the first digit in 2 digit number. So the only possible tens digit is 1. So the unit number is 1+7=8.
Answer 18
Answer:
18
Step-by-step explanation:
A number is divided by 4, and the quotient is added to 3. The result is 24. What is the number? (Please show how you got it)
(n/4) + 3 = 24
Answers
Answer:
84
Step-by-step explanation:
(x/4) + 3 = 24
so in this case try and make x the subject or in other words try to leave x on one side of the equation.
(x/4) = 24 - 3
(x/4) = 21
now multiply 21 by 4 using cross multiplication
so x= 84
A newspaper is launching a new advertising campaign in order to increase the number of daily subscribers. The newspaper currently (t0) has 26,000 daily subscribers and management expects that number, S(t), to grow at the rate of subscribers per day, where t is the number of days since the campaign began. How long (to the nearest day) should the campaign last if the newspaper wants the number of daily subscribers to grow to 49,000?
Answers
Answer:
57 days
Step-by-step explanation:
Given that:
t(0) = 26000
Growth rate (S'(t)) = 80t^1/2
Targeted number of subscribers = 49000
Take the integral of the growth rate :
∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C
[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C
(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C
(160/3)t^3/2 + C
Let C = t(0)
(160/3)t^3/2 + 26000 = 49000
(160/3)t^3/2 = 49000 - 26000
(160/3)t^3/2 = 23000
Multiply both sides by 3/160
t^3/2 = 23000* 3/160
t^3/2 = 69000/160
t^3/2 = 431.25
t^(3/2 * 2/3) = 431.25^2/3
t = 57.080277
t = 57 days (approx.)
Tessa measured an apartment and made a scale drawing. She used the scale 7 millimeters = 3 meters. What is the scale factor of the drawing? Simplify your answer and write it as a ratio, using a colon.
Answers
Answer:
7mm : 3000 mm ; 1 : 428 4/7
Step-by-step explanation:
Given that :
Given a drawing produced using a scale :
7 millimeters = 3 meters ; the scale factor for the drawing
Comparing units in millimeter and units on meter
1000 mm = 1 meter
Hence,
3000 mm = 3 meter
Then, we can say;
7 millimeters = 3000 millimeters
7mm : 3000 mm
Divide through by 7
1 : 428 4/7
What is -9.5-(-8)-6.5 show your work step-by-step.
Answers
Answer:
-8
Step-by-step explanation:
-9.5-(-8)-6.5 There are two negatives next to each other, so it's a positive.
-9.5+8-6.5 We want to use the order of operations, so first we can add.
-9.5+8=-1.5 The problem now looks like...
-1.5-6.5 Finally, just subtract.
-8 8 is your answer!!
I hope this helped you...have a wonderful day c:
Write the following as an inequality. 9 is greater than x, and 3 is less than x Use x only once in your inequality. also please understand that two people need to answer the question for me to give brainiest, and yes once two people answer I will choose brainliest for whoever is correct
Answers
Answer:
9>x>3
Step-by-step explanation:
the open side always faces the greater value
Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart.
Answers
Answer:
Step-by-step explanation:
The sequence is nor properly written. This is correct sequence
49, 36, 25, 16, 9, 4, 1...
Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.
The values of the sequence are all perfect squares.
Rewriting the sequence;
7², 6², 5², 4², 3², 2², 1²...
Now we can see that the base values for an arithmetic sequence as shown:
7, 6, 5, 4, 3, 2, 1...
We find the common difference of this sequence as shown
d = T2-T1 = T3-T2 = T4-T3
Given T1 = 7, T2 = 6, T3 = 5, T4 = 4
Substitute
d = 6-7 = 5-6 = 4-5 = -1
d = -1
Get the nth term using the sequence
Tn = a+(n-1)d
a is the first term
d is the common difference
n is number of terms
Tn = 7+(n-1)(-1)
Tn = 7+(-n+1)
Tn = 7+1-n
Tn = 8-n
Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;
Tn = (8-n)²
To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.
PLEASE HELP I AM STUCK
12,049=-58,642+y
Answers
Answer:
70,691
Step-by-step explanation:
find the sum of 2x ÷ x-1 and x÷x-1
Answers
Answer with step-by-step explanation:
First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.
2x ÷ x - 1 = 1
Same thing: x/x = 1. Subtract 1 from 1, which is 0.
x ÷ x - 1 = 0
1 + 0 = 1
Hope this helped!
When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.
Answers
Answer:
2
Step-by-step explanation:
this will help i think this will be the answer i am not sure
Your new car drives 220 miles on 8 gallons of gas,
The car's MPG is
Will mark brainliest Simone please help
Answers
Answer:27.5
hope it helped can I have brainliest?
Step-by-step explanation:
What place value is the 5 in the following number, 123.465? earn 100 points!!!
Answers
Answer:
it will be in the thousands place for sure
Step-by-step explanation:
hope that helps =) i forgot there were a decimal point
Answer:
The place value of 5 in "123.465" is the thousandths
Step-by-step explanation:
The reason for this is because the "5" is 3 points behind the decimal, making it in the thousanths place.
Can someone please help?
Answers
Answer:
<IJL and <IJG
Step-by-step explanation:
<IJL and <IJG
Xis normally distributed with mean 1,000 and standard deviation 250. What is the probability that X lies between 800 and 1, 100?
Answers
Answer:
0.4435
Step-by-step explanation:
Given that :
X is normally distributed:
mean(m) = 1,000
standard deviation (s) = 250
probability that X lies between 800 and 1,100?
Using the relation :
X = 800
Zscore = (x - m) / s
Zscore = (800 - 1000) / 250
Zscore = - 200 / 250
Zscore = - 0.8
P(Z ≤ - 0.8) = 0.2119
X = 1100
Zscore = (x - m) / s
Zscore = (1100 - 1000) / 250
Zscore = 100 / 250
Zscore = 0.4
P(Z ≤ 0.4) = 0.6554
P(Z ≤ 0.4) - P(Z ≤ - 0.8)
0.6554 - 0.2119
= 0.4435
Given f(x)=18x +8, find x when f(x) =14
Answers
Answer:
x=1/2 or x=0.5
Step-by-step explanation:
14=18x+8 so 18x =6 so x=1/2
Answer:
x = 1/3
Step-by-step explanation:
14 = 18x + 8
Subtract 8 from both sides.
6 = 18x
Divide both sides by 18.
6/18 = x
Simplify.
1/3 = x
B^2 + 11b + 18 ( Factor the question)
Help please!
Answers
................................
Answer:
=b^2+(9+2)b+18
=b^2+9b+2b+18
=b(b+9)+2(b+9)
=(b+9)(b+2)
Solve for x,
40x-5 = 115
Answers
Answer:
x=3
Step-by-step explanation:
1. Add 5 to both sides --> 40x=120
2. Divide 40 from both sides
3. x=3
u/5 =13/7 solve for u
Answers
Answer:
u = 65/7
Step-by-step explanation:
u/5 = 13/7
Using the cross product
7u = 5*13
7u = 65
Divide each side by 7
7u/7 = 65/7
u = 65/7
your job requires that you work at least 40 hours a week you have already worked 15 and there are 4 more days left in the week how many hours do you have to work each day to get at least 40 hours: inequality and solution
Answers
Answer:
6.25 hours
Step-by-step explanation:
this is rather simple really,
first, you have to work 40 hours a week
you have already worked 15 so now you can subtract that
40-15= 25hrs
if you have 4 more days of the week you divide the remaining hours by the days left
25/4= 6.25hrs
that would be the bare minimum of hours for you to work a 40 hour week.
The sweet shoppe sells a half dozen cupcake for $16.50. The cupcake factory sells a dozen cupcake for $30.00. Jameska purchases two cupcake from each shop what is the different in the purchases
Answers
Answer:
1.50 is the answer
Step-by-step explanation:
yeah I had it on a question yw
Answer:
eggffdf
Step-by-step explanation:
sfdsffgfddfdkkhsdghskjgfhjgdfjhdgdhdsdfh
Its late and i need this pls
Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
The volume is ___in^3
Answers
Answer:
184.2 in^3
Step-by-step explanation:
vol of cone=
[tex]\pi {r}^{2} \frac{h}{3} [/tex]
[tex]3.14 \times 16 \times \frac{11}{3} [/tex]
=184.2
22-3(4)
How do I answer this question?
Answers
Answer:
76
Step-by-step explanation:
22-3=19
19x4=76
22-3= 19
19 * 4= 76
I hope this helps! It’s my first time giving an answer
Find the rate of increase:
Original amount: $2000
Final amount: $3000
Answers
Answer:
21
Step-by-step explanation:
Answer:
67%
Step-by-step explanation:
the original amount had to increase by 67% in order to equal the final about simply by dividing 2000 by 3000 getting 2/3 which is 0.666667 then multiplying by 100 to get a rate
Given a normal distribution with a mean of 125 and a standard deviation of 14, what percentage of values is within the interval 111 to 139?
A. 32%
B. 50%
C. 68%
D. 95%
E. 99.7%
Answers
Answer:68%
Step-by-step explanation:
just took this test
The percentage of values is within the interval 111 to 139 will be "68%".
ProbabilityAccording to the question,
Mean = 125
Standard deviation = 14
Let,
The random variable be "X".
Now, the probability:
→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)
= P(-14 < X - 125 < 14)
= P(-[tex]\frac{14}{14}[/tex] < [tex]\frac{(X-125)}{14}[/tex] < [tex]\frac{14}{14}[/tex])
= P(-1 < Z < 1)
When, Distribution function "[tex]\phi[/tex]" now,
= [tex]\phi[/tex](1) - [tex]\phi[/tex](-1)
= [tex]\phi[/tex](1) - 1 + [tex]\phi[/tex](1)
= 2 × [tex]\phi[/tex](1) - 1
= 2 × 0.8413 -1
= 1.6826 - 1
= 0.6826 or,
= 68%
Thus the above answer i.e., "option C" is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
What is the slope of the line perpendicular to y = 4x + 2
Answers
Answer:
slope is -1/4
Step-by-step explanation:
y = 4 x + 2
Use the equation y = m x + b
So m=4
And MPerpendicular=-1/4
Hope this helps!!
A gallon of gas costs an average of two dollars is Betty spends $144 a month on gas determine how many gallons of gas she uses a month
Answers
Answer:
she uses 72 gallons
Step-by-step explanation:
just do 144/2 and the answer is 72
if you wanna check your answer just do 72x2 and it equals 144
natalie budgets $150 for yoga training but doesn’t want to spend all of that money. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of day,d, that Natalie can take classes and stay under (less than) her budget?
Answers
Answer:
A
Step-by-step explanation:
Answer:
A) I hope I helped you ◉‿◉