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.
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.
Help me plz
It’s 8th grade math
And ion know what the answer is..
Answer:
B slope = 1 and y intercept is 3
Step-by-step explanation:
The y intercept is where the line crosses the y axis (x is zero).
The slope can be figured by how far the line rises and runs to the next intersection of lines. In this case it goes up 1 and to the right 1. The slope would be 1/1 or 1
Answer:
Slope =1 ; Y-intercept=3
Step-by-step explanation:
The y intercept would be the point on the vertical line that touches the graph which in this case is three.
then to get to the next point that's on the line would have to move over 1 once to the right and one time up. so the slope is 1 over 1 which would equal 1.
Hey, I just need to know if I was correct with my test.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Statistics,
If we see here, The Andrew is working for 20 hours and his pay for 20hours is, $175
so for 1 hour, he gets = 175÷20 => $8.75 per hour
, so now after 1 year, his pay increases by $1.05 per hour, then we have to add this new amount of pay in his old amount, so that we can show that his pay is actually INCREASED, so the new pay is given as,
$8.75 + $1.05 (per hour)= $9.80
so now his total pay is given as,
E= 9.80h
Option D.) is correct
Help me find this answer please (honest and most best answers only)
The baby whale would be 35 years old.
[tex]7*10^3[/tex] in standard notation is 7000
To find the whales age, you must divide 7000 by 200, which is 35.
A school has 726 students. There are 340 boys. About what percent of the students are girls?
Answer: 348 girls so somewhere around 80 percent
Step-by-step explanation:
Identify the terms, coefficients, and constants in the expression.
7h + 3
I need help now!!!!!
Step-by-step explanation:
7 is the coeffiecient
3 is the constant
The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x? If it helps, consider an example where you substitute 3 for x, 5 for y, and 8 for z
Answer:
The equation x + y = z relates the whole numbers.
Hopefully, this helps! :D
Ask your question below!
What is a factor of 12
Answer:
2 x 3 (prime number, 2 distinct)
Step-by-step explanation:
Help I’m stuck and confused
Answer:
-8
Step-by-step explanation:
A triangle is always 180 degrees
(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)
65 + 40 = 105
180 - 105 = 75
75 - 83 = -8
Answer:
the angle itself is 75 degrees so x=-8
Step-by-step explanation:
simplify these numbers
1. 125 5. 384
2. 458 6. 15710
3. 438 7. 2549
4. 10512 8. 8920
How many 2/3 cup servings are in 28/3 cups of yogurt
The answer fam is..... 14
A segment has endpoints A (-1, 1) and B (8, 4) .
If the segment is divided into four equal parts, the coordinates of the point closest to point A are _____?
Answer:
fafafsghdjdbdbdgsysvdve. wwmsk
Find the directional derivative of the function at the given point in the direction of the vector v. g(p, q) = p4 − p2q3, (2, 1), v = i + 3j
Answer:
-4√10 / 5 or -8√10 / 5
Step-by-step explanation:
See attachment for calculation
At Nancy's Newsstand, 3 magazines cost $18.00. How many magazines could you buy with $72.00?
Answer:
12
Step-by-step explanation:
if 3 magazines = $18
$72/$18 = 4 sets of 3
4 x 3 = 12 magazines
Solving the for angle NMP. *
Answer:
50°
Step-by-step explanation:
Angle NMP is an angle that has its vertex on a point along the circumference of the circle, thus, angle NMP is referred to as an inscribed angle of the circle.
The measure of an inscribed angle is equal to half of the measure of the arc it intercepts.
Therefore, the following equation shows the relationship between inscribed angle NMP and arc NP:
m<NMP = ½ × measure of arc NP
m<NMP = ½*100
m<NMP = 50°
Order 51.835, 51.836, 51.736, and 51.837 in decreasing order.
Answer:
D.)51.837, B.)51.836, A.)51.835, C.)51.736
Step-by-step explanation:
its decreasing in this order
Answer:
51.837 > 51.836 > 51.835 > 51.736
Match the numbers with the correct label
Answer:
a= -3/7
b= -0.2
c = -2/8
Step-by-step explanation:
Answer:
-3/7
-2/8
-0.2
Step-by-step explanation:
i did it on khan
Suppose that a sample of n students at the same university (instead of n) determines that % of the sample use the web browser. At the level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of %?
Complete Question
The worldwide market share for a web browser was 20.5% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser.
At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5%?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.205[/tex]
The sample size is n = 200
The number that uses the browser is k = 50
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{50}{200}[/tex]
=> [tex]\^ p = 0.250[/tex]
The null hypothesis is [tex]H_o : p = 0.205[/tex]
The alternative hypothesis is [tex]H_a : p > 0.205[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \^ p - p }{ \sqrt{ \frac{ p (1 - p )}{ n} } }[/tex]
=> [tex]z = \frac{ 0.250 - 0.205 }{ \sqrt{ \frac{ 0.205 (1 - 0.205 )}{ 200} } }[/tex]
=> [tex]z = 1.5764[/tex]
Generally the area under [tex]z = 1.5764[/tex] to the right is
[tex]p-value = P( Z > 1.5764 ) = 0.057467[/tex]
From the value we obtained we can see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
a certain bike travels 135 feet in 20 rotations of its wheels. how far will the bike travel in 45 rotations
Answer:
303.75
Step-by-step explanation:
135/20=6.75
6.75•45= 303.75
Help please !!! ASAP
Answer:
Plz rate five star and thanks me k your answer is D
Step-by-step explanation:
Which statements about opposites are true? (Select all that are correct)
someone please help me from 6 to 9 please
Answer:
For 6.) y=-2x+1; 9.) y=-7/3x-5
Step-by-step explanation:
Slope intercept form is y=mx+b. m would be the slope (-2 and -7/3) and y is the y-int (1 and -5).
To determine whether price has an impact on sales of specialty coffees, the managers kept track of how many pounds of each variety of coffee were sold last month.
PRICE PER POUND POUNDS SOLD
Mean $8.75 4.50 lb
Standard Deviation $3.63 18.33 lb
Correlation r -.927
a. The response variable is__________ and the explanatory variable is_________
b. Based on the statistics shown above, the slope of the estimated regression line that relates the response variable to the predictor variable is:______
i. 0.846.
ii. -4.681
ii. -0.858.
iv. 45.459
v. -8.999.
Answer:
A. Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND
B. ii. -4.681
Step-by-step explanation:
A. Based on the statistics that was shown in the given information above the:
Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND
B. Calculation to determine slope of the estimated regression line that relates the response variable to the predictor variable
Using this formula
Slope =r*Sy/Sx
Let plug in the formula
Slope=-0.927*18.33/3.63
Slope=-16.99191/3.63
Slope=-4.681
Therefore , the slope of the estimated regression line that relates the response variable to the predictor variable is: -4.681
how many hours are there in 1 month if there are 31 days in a month. Will mark brainliest.
Answer:
744
Step-by-step explanation:
in one day there is 24 hours if you multiply 24*31 it will be 744hours in total .24*31=744so you multiply the amount of time with the amount of days :)hope you get it !please mark me brilliant if im rightthank you :3what type of number is -16 square root
Answer:
Irrational Number
Step-by-step explanation:
The irrational numbers are those that cannot be expressed as a ratio of two integers. Examples are as well as the square roots of many other numbers, and special numbers like e and π. It turns out that there are as many irrational numbers as rational. Irrational numbers have no exact decimal equivalents.
Hope this helps (:
Answer:
Irrational number
Step-by-step explanation:
i had it on khan academy
math more math and more math i mark as brainly
Answer:
It's the first one
Its A
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how do I solve for 3(2x-1)+2x=4x-11
Answer:
x=-2
Step-by-step explanation:
3(2x-1)+2x=4x-11
6x-3+2x=4x-11
8x-3=4x-11
8x=4x-8
4x=-8
x=-2
The answer to the equation is [tex]x=-2[/tex]
First, you must use distributive property to simplify the equation.
[tex]6x-3+2x=4x-11[/tex]
Then, you must combine like terms.
[tex](6x+2x)-3=4x-11[/tex]
[tex]8x-3=4x=11[/tex]
Next, you must subtract 4x on each side
[tex]4x-3=-11[/tex]
Then, add 3 on both sides
[tex]4x=-8[/tex]
Finally, divide both sides by 4
[tex]\frac{4x}{4} =\frac{-8}{4}[/tex]
[tex]x=-2[/tex]
The sum of two numbers is 64 and the difference is 6. What are the numbers?
Larger number:
Smaller number:
x
?
Check
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a
Tyne here to search
Answer:
29 and 35
Step-by-step explanation:
x+y=64
x-y=6
Solve by substitution.
x=6+y
6+y+y=64
6+2y=64
y=29
Then plug in 29 for y.
x+29=64 ......35
The two numbers that have a sum of 64 and a difference of 6 will be 29 and 35.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of the two numbers is 64 and the difference is 6.
Let the two numbers be 'x' and 'y', and y is greater than x. Then the equations are given as,
x + y = 64 ...1
y - x = 6 ...2
Add both equations, then we have
y + y = 64 + 6
2y = 70
y = 35
Then the value of 'x' will be given as,
x + 35 = 64
x = 29
The two numbers that have a sum of 64 and a difference of 6 will be 29 and 35.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought five notebooks and five thumb drives for $110. Lisa bought three notebooks and five thumb drives for $102. Find the cost of each notebook and each thumb drive.
Answer:
Notebooks cost $4
Thumb drives cost $18
Step-by-step explanation:
x=$ for notebooks
y=$ for thumb drives
5x + 5y = 110 ----> for Troy
3x + 5y = 102 ----> for Lisa
Use subtraction to find x.
(5x + 5y = 110)
-(3x + 5y = 102)
_____________
2x + 0y = 8
2x = 8
x=4
Sub 4 for x into 5x + 5y = 110
20 + 5y = 110
-20 -20
___________
5y = 90
y=18
Notebooks cost $4
Thumb drives cost $18
Evaluate 9sigma n=5 3n+2
Answer:
17
Step-by-step explanation:
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