A recipe calls for 1 1/2 teaspoons of cinnamon to make 2 dozen oatmeal cookies. How many teaspoons of cinnamon are needed to make 60 oatmeal cookies?
Answer:
3 3/4 teaspoons of cinnamon
Step-by-step explanation:
Proportions
Proportional relationships between two variables imply their ratios are constant.
It means that one variable is always a constant value times the other.
We are told that 1 1/2 (1.5) teaspoons of cinnamon are good to make 2 dozen oatmeal cookies. Two dozen is equivalent to 24, thus the ratio between oatmeal cookies and teaspoons of cinnamon is 24 / 1.5 = 16.
It means for each teaspoon of cinnamon you can make 16 oatmeal cookies.
If we wanted to make 60 oatmeal cookies, we need 60/16 = 3.75 teaspoons of cinnamon.
The number 3.75 is equivalent to
3+0.75 = 3 + 3/4, or 3 3/4 teaspoons of cinnamon
How can you use a table to determine whether the relationship between two quantities is proportional?
Answer:
no
Step-by-step explanation:
no
please help (picture provided shows question)
Answer:
They need to sell 3 tees, and incurred $60.
Step-by-step explanation:
What is the revenue equation? R = 20x, where x is the # of tees sold.
What is the cost equation? C = 5x + 45, where x is the # of tees sold.
Set those two equations equal, we get:
20x = 5x + 45, 15x = 45, x = 3.
3*5 + 45 = 60.
Which list orders -3,2,5, -1 From least to greatest
Answer: C= -3, -1, 2, 5
Step-by-step explanation:
Ryan works for a delivery service. The function f(n) is used to calculate
his daily pay, in dollars, on a day when he makes deliveries.
f(n)=6n+85
Use the function to fill in the blanks the table shown. Make sure you
have an answer for Blank A, Blank B, and Blank C
Answer:
0=85
4=109
10=145
the answers are Blank A=85,Blank B=109 and Blank C= 10
A tennis team bought 8 yards of red fabric to make head bands. If each head band takes 2
3
of a yard of fabric, how many head bands can the team make?
Answer:
A tennis team bought 8 yards of red fabric to make head bands. If each head band takes 2
3
of a yard of fabric, how many head bands can the team make?
You would use
✔ divisionto solve this problem.
The tennis team can make
✔ 12head bands.
Step-by-step explanation:
If we multiply 0.8 by 1/50, we get 0.8 × 1/50 = 0.8/50 = 0.016 meter. So, we can say 0.016 meter wide should the door be on the scale drawing, if the ratio is 1 to 50.
Answer:
the ratio is 1:50
this means that 1 meter in the drawing is equal to 50 meters in real life, but that is a complicated way of stating something simple since drawings are not generally measured in meters.
the door is 0.8 meters wide or 80 centimeters wide
in our drawing, the door should be 80 / 50 = 1.6 centimeters wide
the whole purpose of a scale is to allow us to work with smaller units, that is why we have to work with them. It is true that 0.016 meters = 1.6 centimeters, but as I said before, writing the answer in meters just complicates things and makes them harder to understand. You could also say it is 0.000016 kilometers wide and it would be right, but too confusing.
Examine the diagram.
A triangle has angles 2, 4, 3. A line extends past angles 3 and 2 to form exterior angle 1.
Name one of the remote interior angles to the exterior angle in the diagram.
Angle 1
Angle 2
Angle 3
The answer is C!
- Got it right on edge :)
- Have a good day !
Help plss !!
I'm behind D': !!!!!
Answer:
is that math?
Step-by-step explanation:
Solve for X
1/5x +5=61/15+2/3x
Answer:
x=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Maya is going to an amusement park. The price of admission into the park is $10, and once she is inside the park, she will have to pay $2 for every ride she rides on. How much money would Maya have to pay in total if she goes on 15 rides? How much would she have to pay if she goes on rr rides?
Answer:
the answer is 40 dollars
Step-by-step explanation:
all you have to do is multiply 15x2 and then add 10
Answer:
$40 dallors.
Step-by-step explanation:
First you would do, 2 times 15 and get 30.
Then do 30 plus 10 to get $40 dallors.
Water makes up about 71% of Earth's surface, while the other 29% consists of continents
and islands. 96% of all Earth's water is contained within the oceans as salt water, while the
remaining 4% is fresh water located in lakes, rivers, glaciers, and the polar ice caps.
If the total volume of water on Earth is 1,386 million cubic kilometers, what is the volume
of salt water? What is the volume of fresh water? please help
Answer
1.386 billion.
Step-by-step explanation:
A frame is marked down by 22 percent from an original price of $14.50. What is the new price?
$3.19
$11.31
$13.72
$14.28
Answer:
11.31
Step-by-step explanation:
Answer:
B 11.31
Step-by-step explanation:
1. The aspect ratio of a display is the proportional relationship between the width of a
display and its height. In 2012, 16 : 9 became the most common aspect ratio for
computer displays. If the width of a large screen television is 90 inches, what is
the height using this aspect ratio, to the nearest inch?
A 51 inches
B 71 inches
C 97 inches
D 160 inches
Answer:160 inches
Step-by-step explanation: it cant be less som wer left with 97 and 160 97 is not 16:9
Please help me ASAP!!
Answer:
[tex]\huge\boxed{m\angle 1 = 131 \textdegree}[/tex]
[tex]\huge\boxed{m\angle 2 = 49 \textdegree}[/tex]
[tex]\huge\boxed{m\angle 3 = 112 \textdegree}[/tex]
Step-by-step explanation:
We can use basic angle relationships to find the measure of angles 1, 2, and 3 here.
First off, we know that the 49° angle and m∠1 are supplementary. This means that their angle measures will add up to 180°.
Since we know one, we can find the other easily.
[tex]x + 49 = 180\\\\x = 180-49\\\\x = 131[/tex]
So m∠1 = 131°.
We also know that m∠2 is opposite to the 49° angle. This means that m∠2 is also 49°.
Now, we know that m∠3 is also opposite to the 112° angle. Therefore, their angle measures are the same, and m∠3 is also 112°.
Hope this helped!
Chuck's collection of 19 marbles. He has 3 yellow marbles, 4 red marbles, 4 orange marbles, 2 purple marbles, 1 green marble, and 5 blue marbles.
What is the ratio of green marbles to red marbles in his collection?
A.
1 to 4
B.
1 to 19
C.
4 to 1
Xiaoming is making cookies. Each batch of cookies uses3 eggs. If Xiaoming has 20 eggs, and assuming he has enough of the other ingredients to make the cookies what is the greatest number of batches that he can make ?
Answer:
6
Step-by-step explanation:
3(1)=3 3(2)=6 3(3)=9 3(4)=12 3(5)=15
3(6)=18 3(7)=21 3(8)=24
----------------------------------------------------
3(6)=18 is closest to 20
so the greatest number of batches Xiaoming can make is 6.
A plane flew at a constant speed between Denver and Chicago.
It took the plane 1.5 hours to fly 915 miles.
How far would the plane fly in 10 hours at this speed?
Answer:
To found out his constant speed
915/3=305 Meaning the plane flew 305 miles per half hour
Meaning that the plane flew 610 miles per full hour
Step-by-step explanation:
There ya go
[tex] {16}^{ - 2x} = 32[/tex]
find x
Answer: x=−0.208333
Step-by-step explanation:
hope that helps enjoy
Consider the expression –3(y – 5)2 – 9 + 7y.
Which statements are true about the process and simplified product? Check all that apply.
The first step in simplifying is to distribute the –3 throughout the parentheses.
There are 3 terms in the simplified product.
The simplified product is a degree 3 polynomial.
The final simplified product is –3y2 + 7y – 9.
The final simplified product is –3y2 + 37y – 84.
Answers:
B) There are 3 terms in the simplified product.
E) The final simplified product is –3y2 + 37y – 84.
The true statements are:
B. The simplified product has three terms
E. –3y2 + 37y – 84 is the final simplified product.
How to Simplify The Product of Polynomials?Given the polynomial expression, –3(y – 5)² – 9 + 7y, to simplify, do the following:
–3(y – 5)(y – 5) – 9 + 7y
-3y² + 30y - 75 - 9 + 7y
Combine like terms
-3y² + 37y - 84 (three terms)
Therefore, the statements that are true are:
B. The simplified product has three terms
E. –3y2 + 37y – 84 is the final simplified product
Learn more about product of polynomials on:
https://brainly.com/question/1603555
#SPJ9
Please help i am confused.
Two sides of a rectangle differ by 3.5cm.Find the dimensions of the rectangle if its perimeter is 67cm.
the answer should contain step by step and understandable explanation.
Answer:
Sides are x and x + 3.5 cm
Perimeter = 2(x + (x + 3.5))cm
4x +7 = 67
x = 15cm Answer
Step-by-step explanation:
HOPE THIS HELPED!
How much pure alcohol must a nurse add to 10 cubic centimeters of a 60% alcohol solution to strengthen it to a 90% solution? Plsss help ASAP
10 cubic centimeters of a 60% alcohol solution, would mean 10 x 60% = 6 cc is alcohol the other 4 cc is water.
To make a 90% solution, the water would be 10% of the solution.
If 4 cc is 10%, the total is 40 cc.
40 - 10 = 30 cc
30 cubic centimeters needs to be added.
Select all ratios that are in their simplest form.
A 25:24
B 19:24
C 23:24
D 11:16
E 27:18
Answer:
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
Step-by-step explanation:
The ratios are in their simplest form are the ratios that cannot be simplified further.
We will check all the ratios one by one
A 25:24
Cannot be further simplified so it is in the simplest form
B 19:24
Cannot be simplified further.
C 23:24
Cannot be simplified further
D 11:16
Cannot be simplified further
E 27:18
[tex]27:18\\3:2[/tex]
Further simplified, so it was not in simplest form.
Hence,
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the number of pounds of bananas, x?
Answer:
B. $0.88
Step-by-step explanation:
x = number of bananas
y = cost of bananas in dollars
Given that 4 bananas cost $3.52, the constant of proportionality that relates cost of bananas, y, to the number of pounds of bananas, x = y/x
y = 3.52
x = 4
Therefore:
Constant of proportionality = [tex] \frac{3.52}{4} = 0.88 [/tex].
A baker decorates 42 cupcakes in 30 minutes. She decorates cupcakes at a constant rate.
How many cupcakes can the baker decorate per minute?
Answer:
I'm pretty sure its 1.4 cupcakes
Solve the following equation for x. x = -2 x = 2 x = -17 x = -7 (x - 5)/2 = -6
Step-by-step explanation:
x= -2,
(x - 5) / 2= -6
( (-2) - 5) / 2= -6
(-7) / 2 = -6
-3.5 = - 6
right hand side not equal to left hand side of this equation.so,x= -2 cannot exist for this equation.
x=2,
(x - 5) / 2= -6
(2 - 5) / 2= -6
(-3) / 2= -6
-1.5 = - 6
right hand side not equal to left hand side of this equation.so,x= 2 cannot exist for this equation.
x= -17
(x - 5) / 2= -6
( ( -17) - 5) / 2= -6
(- 22) / 2= -6
-11 = -6
right hand side not equal to left hand side of this equation.so,x= -17 cannot exist for this equation.
x= -7,
(x - 5) / 2= -6
( ( -7) -5) / 2= -6
(-12) / 2= -6
-6= -6
right hand side equal to left hand side of this equation.so,x= -7 exist for this equation.
y=x+ 2
Type an (x,y) ordered pair that is a solution to this
equation.
Answer:
The ordered pair is (4,6)
Step-by-step explanation:
Ordered Pairs
It's given the equation
y = x + 2
Since there are no restrictions for the values of x and y, it has infinitely many solutions, i.e. any ordered pair of values (x,y) that make true the equation is a solution.
We can pick any value for x and then calculate the corresponding value for y as follows:
For x = 4,
y = 4 + 2 = 6
The ordered pair is (4,6)
pLease help and thanks
Answer:
a
Step-by-step explanation:
Every x or domain is unique and doesn't repeat. Therefor, it will pass the vertical line test. You can not have a repeating x.
HELP????!?!?!??!? {PLEASEEEEEEEE
Answer:
the answer is A
Step-by-step explanation:
I have a feeling in my genitals