Using proportions, it is found that:
a) You need 15 tablespoons of brown sugar.
b) You need 8 tablespoons of baking soda.
c) You need 10 cups of brown sugar.
d) You need 24 cups of baking soda.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for ratio problems.
For this problem, the recipe uses a 2:5 ratio of baking soda to brown sugar, hence:
2/7 of the recipe is of soda.5/7 of the recipe is of sugar.The amount of sugar is 5/2 of the amount of soda.The amount of soda is 2/5 of the amount of sugar.Hence, for item a, the amount is:
5/2 x 6 = 30/2 = 15.
You need 15 tablespoons of brown sugar.
For item b, the amount is:
2/5 x 20 = 40/5 = 8.
You need 8 tablespoons of baking soda.
For item c, the amount is:
5/2 x 4 = 20/2 = 10.
You need 10 cups of brown sugar.
For item d, the amount is:
2/5 x 60 = 120/5 = 24.
You need 24 cups of baking soda.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
According to the U.S. Bureau of Labor Statistics (BLS), 10.7% of workers belonged to unions in 2017. By 2018,
union membership had fallen by 0.2 percentage points. Calculate the percentage change in union membership
between 2017 and 2018. Show your work. Round your result to one decimal place.
Using it's concept, the percentage change in union membership between 2017 and 2018 was of -1.9%.
How to find the percent change of an amount?The percent change of an amount is given by the change divided by the initial amount.
For this problem, the parameters are given as follows:
Change: -0.2%.Initial amount: 10.7%.Hence the percentage change is given by:
-0.2/10.7 = -0.019 = -1.9%.
More can be learned about percentage change at https://brainly.com/question/809966
#SPJ1
The point (4,5) lies on a circle. What is
the diameter of this circle if the center is
located at (7,9)
well, we know the center of the circle is at (7 , 9), and we also know that a point right on the circle is at (4 ,5), now, the distance between those two points is simply the radius, keeping in mind that the diameter is simply twice the radius
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(~~4 - 7~~)^2 + (~~5 - 9~~)^2} \implies r=\sqrt{(4 -7)^2 + (5 -9)^2} \\\\\\ r=\sqrt{( -3 )^2 + ( -4 )^2} \implies r=\sqrt{ 9 + 16 } \implies r=5~\hfill \underset{diameter}{\stackrel{2(5)}{10}}[/tex]
show the work for 6 4/5 - 2 1/3=
Answer:
4 7/15
Step-by-step explanation:
To subtract two fractions we need to have them have the same division by, which means the lower part of the fraction needs to be the same. To do that we would need to find a common denominator between 3 and 5, a number that can be both divided by 3 and 5. To figure common denominator for 5 and other nimbery just multiply the other number by 5: 3*5=15. so now we need to multiply both fractions by a number to get lower part to 15, so 4*3/5*3=12/15 and 1*5/3*5=5/15. Now we have 6 12/15 - 2 5/15 = 4 7/15.
Solve the inequality.
|4x - 1| ≥ 23
I need some help if anyone knows it!
The value of the inequality |4x - 1| ≥ 23 will be
x ≥ 6.
How to calculate the inequality?It should be noted that the inequality given is expressed as:
|4x - 1| ≥ 23
This will be
|4x - 1| ≥ 23
4x ≥ 23 + 1
4x ≥ 24
Divide
4x/4 ≥ 24/4
x ≥ 6
Learn more about inequalities on;
brainly.com/question/11613554
#SPJ1
HELPPPP
y=x+12 solve for x
Answer:
I don't think you can answer this.
Step-by-step explanation:
Y could be anything. Which means x could be anything too. if y was 14, x would be 2. If y was 500, x would be 488.
Find the measure of the angle AEC that is supplementary to the angle AED in the diagram below. Enter only the number.
The measure of angle AEC is 115°.
What are Supplementary angle?
Supplementary angle are those angles whose sum up are 180 degree.
Given that;
Measure of angle AED = 65
The angle AEC is supplementary to the angle AED.
Now, The angle AEC is supplementary to the angle AED.
Hence, ∠ AEC + ∠AED = 180°
Since, Measure of angle AED = 65°
So, ∠ AEC + ∠AED = 180°
⇒ ∠ AEC + 65° = 180°
⇒ ∠ AEC = 180° - 65°
⇒ ∠ AEC = 115°
Therefore, The measure of angle AEC is 115°.
Learn more about the supplementary angle visit:
https://brainly.com/question/2046046
#SPJ1
A bag 2 contains 2 red marbles, 2 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the bag, what
is the probability that the first marble will be red and the second will be green?
The value of the probability is 0.0714.
According to the statement
We have to find that the students' favorite color was red.
So, For this purpose, we know that the
Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.
From the given information:
A bag 2 contains 2 red marbles, 2 green marbles, and 4 blue marbles.If we choose a marble, then another marble without putting the first one back in the bag.
Then
A bag contains 2+2+4=8 marbles in total.
We have to search out the probability of the subsequent events:
1. we've to settle on a red marble from the bag that contains 8 marbles in total, 2 of them are red
2. we've to decide on a green marble from the bag that contains 7 marbles in total, 2 of them are green.
The probability of the primary event to happens is:
P(one) = 2/8 = 1/4.
The probability of the second event to happen is:
P(two) = 2/7
The probability of both events to happen is:
P = P(one) * P(two)
P = 1/4 * 2/7
P = 1/14
P = 0.0714.
So, The value of the probability is 0.0714.
Learn more about Probability here
https://brainly.com/question/24756209
#SPJ9
The current student population of Philadelphia is 1500. If the population increase at a rate of 10% each
year. What will the student population be in 7 years?
Write an exponential growth model for the future population (y): y =
What will the population be in 7 years? (Round to nearest student)
The exponential growth model for the future population is given as [tex]y = 1500(1.1)^{t}[/tex] and the student population after 7 years is 2923.06.
The general expression for the exponential growth is given as :
[tex]y = a(1+r)^{t}[/tex]
where, a = initial amount or current student population of Philadelphia
r = rate
t = time in years.
According to the question we have been given that
a = 1500
r = 0.1
putting the required values in above equation we get
[tex]y = 1500 (1+0.1)^{t}\\y = 1500(1.1)^{t}[/tex]
Hence the exponential growth model for the future population is given as :
[tex]y = 1500(1.1)^{t}[/tex]
For the population in 7 years is :
[tex]y = 1500(1.1)^{7}\\y = 1500*1.949\\y = 2923.06[/tex]
hence the student population after 7 years is 2923.06
Learn more about exponential growth here : https://brainly.com/question/15662160
#SPJ9
as 9 hundreds is 9 thousands
Answer:
10 as 9 hundreds is 9 thousand.
Step-by-step explanation:
The digit is 9 thousand which can be written as 9,000
It can also be written as,
9,000 = 9 x 1000
or ,9,000 = 9 x 10 x 100
So, to require 9 hundreds multiply 9 by 100 in the expression above
9,000 = 10 x 900
And so Ten as 9 hundreds are 9 thousand.
3/4 x 6/17 in its simplest form
Answer: 9/34
Step-by-step explanation:
3/4 x 6/17=
3*6/(4*17)=
18/68=9/34
Convert the given rectangular
coordinates into polar
coordinates.
(-7, 4)
Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
hi the RTA: is -14,8+
Write this number using digits:
twenty-eight thousand, nine hundred twenty-seven
Answer:
28,927
Step-by-step explanation:
just use common knowledge in your number plot such as 10s, 100s, and 1000s. Then use the numbers 28000+900+27 and your answer is solved.
Desperate need of help: What are the solutions to -4|x - 1| + 3 = -1?
that the answer you welcome
......... .. . . . . . . . . .
Identify the domain of the graph.
Answer:
what graph but domain is the x axis
Step-by-step explanation:
Ceasar has several small clay pots. He wants to display them in order of height,
from shortest to tallest. What will be the order of the pots?
The clay pots ordered from shortest to tallest is √5 inches, 2 1/3 inches. 2.5 inches, √8 inches.
What is the order of the pots?In order to arrange the clay pots in order of height, all the heights have to be converted to decimals.
A decimal is a number that is made up of an integer and non-integer. The non-integer are separated from the integers with a decimal point. An example of a decimal is 1.1.
√8 = 2.83
2 1/3 = 2.33 in
√5 = 2.24 in
To learn more about decimals, please check: https://brainly.com/question/15287678
#SPJ1
Write 6,684 feet write in as an integer
6,684 feet write in as an integer is 6,684.
The square root of 6684 is 81.7557337439
The cube root of 6684 is 18.8370177527
The integers form the littlest group and the smallest ring containing the natural numbers. In irrational number theory, the integers are sometimes qualified as rational integers to differentiate them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that also are rational numbers.An integer is that the number zero, a positive number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.integer, whole-valued positive or negative number or 0. The integers are generated from the set of counting numbers 1, 2, 3,… and therefore the operation of subtraction. When a counting number is subtracted from itself, the result's zero; for example, 4 − 4 = 0.
To learn more about Integer from the given link:
brainly.com/question/15276410
#SPJ9
Can somebody help me if you know what this is
Answer:
Your answer would be [tex]f^{-1} (x)=\frac{2x}{x-1}[/tex]
Step-by-step explanation:
[tex]f^{-1} (x)=\frac{2x}{x-1}[/tex]
[tex]= f^{-1} (x)=\frac{2x}{x-1}[/tex]
hopefully this helps you! ~
What is pie? PLS IIIIIII NNNNNEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDD IIIIIIIIIIIIITTTTTTTTTTTTTTTT!
Answer:
Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.
Pi is used in my formulas like area and perimeter of circle, radian measure, etc
If a scheme starts with one person who recruits 4 members, and then those 4 members must recruit 4 new members each in one day,
and so on. Write a function N(t) to represent the number of members in the scheme after t days.
A function N(t) to represent the number of members in the scheme after t days is given as:
N(t) = 2ˣ (where, x = 0, 2, 4 , 6 ....)
What is defined as the function?A function is described as the connection between a set of inputs that each have one output. A function is a correlation between inputs in which each input is linked to precisely one output. Each function has a domain as well as a codomain, as well as a range. In general, a function is denoted by f(x), in which x is the input.For the given statements in the question;
The scheme starts with 1 person who recruits 4 person.
Then, the next 4 person will their respective 4 recruits.
Thus, the sequence will become;
1, 4, 16, 64.....
Thus sequence can be written as;
2⁰, 2², 2⁴, 2⁶,.....
Thus, in the function form it represents;
2ˣ (where, x = 0, 2, 4 , 6 ....)
Thus, a function N(t) to demonstrate the total number of scheme members after t days is;
N(t) = 2ˣ (where, x = 0, 2, 4 , 6 ....)
To know more about the function, here
https://brainly.com/question/25638609
#SPJ9
Death Valley sits at an elevation of 212 3/4 feet below sea level. Mt humpherys has an elevation of 13,918 feet. What is the chnage in elevation between the two locations. Show your work?
Estimate the difference between 9493 take away 2324
The difference between 9493 take away 2324 is equal to = 7169.
The difference between 9493 take away 2324
Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us by how much a number differs from the other. The aim of finding the difference in math is to tell how many numbers lie between the two given numbers.
Set difference is a generalization of the idea of the complement of a set and as such is sometimes called the relative complement of T with respect to S. The symmetric difference between two sets S and T is the union of S – T and T – S.
Based on the conditions, formulate :
Let us assume,
The difference between value = x
We can write,
x = 9493 - 2324
Calculate the sum or difference,
x = 7169.
Therefore,
The difference between 9493 take away 2324 is equal to = 7169.
To learn more about difference problems visit : brainly.com/question/15623320
#SPJ9
If the standard deviation of the data values in a sample is 19, what is the
variance of the data values?
A. 225
B. 169
C. 289
D. 361
Answer:
D
Step-by-step explanation:
S. D =√V
:.V=S. D^2
V=19^2
V=361
Write 7.83 x 10^-3 in standard notation
m² − m²n²
2m-2n
if m = 2 and n = -9
Answer: for the first equation is 81 and the second equation is 22
Step-by-step explanation:
m² − m²n² = (2)² - (2)² (-9)²
= 4 -(4×18)
= 4-72
= -68
2m-2n = 2(2)-2(-9)
= 4+18
=32
Identify the function family to which f(x)=x+3 belongs.
A. Constant B. Linear C. Absolute value D. Quadratic
The function f(x)=x+3 belongs to linear category.
For a function to be linear it must have an single variable and also the maximum power to that variable in the equation must be 1.
In a linear variable there is always single value possible in a equation.
In the function also there is only one value at one time but it varies according to the function change.
Here the function f(x)=x+3 will vary as the value of x changes.
For x=1 the value of f(1)=4
For x=2 the value of f(2)=5 and so on
The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.
To learn more about function visit the link:
https://brainly.com/question/12431044
#SPJ9
Hello can someone help me with this, please helping with 1 would help me so much
The characteristics of the undefined geometric terms are as follows;
Across
2. Planes can also be labeled with a capital letter that isn't connected to a point.
6 Points that are not on the same line are non–colinear
7 Points, lines, and planes are undefined terms
8 A portion of a line containing two endpoints that can be measured is a segment.
9 Direction matters when labelling this geometric figure. A ray
12 These are always measured using one capital letter. A point.
13. These pair of lines have the same slope value. Parallel lines
14 A plane is usually labeled with this number of points. Three points
15 Lines and points sharing the same plane are coplanar lines and points.
Down
1 The symbols of a segment has arrows on each end. False
2 These intersect at either endpoints and resemble a line. Rays
3 Points that are on the same line are considered this. Colinear points
4 This line pair form a 90° angle when they intersect. Perpendicular lines
5 When two lines intersect they form a point. False
10 These can be labeled with one lower case letter. A plane
11. When two of these intersect they form a line. Rays
What are undefined terms in geometry?Undefined terms are terms in geometry which are only given an elucidation or a description. Other terms can be defined using the undefined terms.
Across
2 The methods of naming a plane includes;
One capital letter, written in script format.The letters of three points on the plane.6 When points are not on the same line or on the same plane, they are known as non–colinear or non–coplanar respectively.
7 undefined terms includes, points lines and planes
8 A segment has two endpoints and represents a portion of a line.
9 A ray is labeled by including the letter representing the endpoints first and then a letter representing any other point on the ray.
12 A point is labeled by using a capital letter
13 Parallel lines extends continuously without meeting, therefore they form the same corresponding angles with a common transversal and have the same slope
14 The labels of three points in space can be used to label the plane which the points are located.
15 The term used to describe lines and points sharing the same plane are coplanar lines and coplanar points respectively
Down
1 The symbol of a segment has a dot marking at each end.
2 When the endpoints of two parallel rays intersect, the geometric figure formed resembles a line
3 Colinear points are points that are on a line
4 Perpendicular lines are lines oriented 90 degrees relative to each other
5 An angle is formed by the intersection of two lines
10 A line can be labeled with one lower case letter
11 When the endpoints of two parallel rays facing opposite directions intersect, they form a line
Learn more about undefined terms in geometry here:
https://brainly.com/question/1596976
#SPJ1
Mackenzie needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 2.75 hours and charged her $181
for parts. The total was $249.75. Write and solve an equation which can be used to
determine 2, the cost of the labor per hour.
The cost of the lab per hour is $25.
How to determine the cost of the labor per hour?
Here we know that they charged a total of $249.75, and the cost in parts was $181, then the cost in labor is:
$249.75 - $181 = $68.75
And we know that they worked for 2.75 hours, the cost per hour is given by the quotient between the cost in labor and the number of hours, then we can get:
$68.75/2.75 = $25
So we can see that the cost of the lab per hour is $25.
If you want to learn more about quotients:
https://brainly.com/question/8952483
#SPJ1
What’s the correct answer answer asap
Answer:
A. is incorrect
Step-by-step explanation:
Assuming you have four points, no three of which are collinear, how many unique straight lines can be drawn?
Answer:
6 lines.
Step-by-step explanation:
Basic Algebraic Inequalities (L3) Sep 07, 2:42:46 PM Watch help video Select the values that make the inequality inequality, in terms of g. (Numbers written in order from least to greatest going across.) □ 48 ☐ 63 □ 67 □ 56 64 Submit Answer 0 72 Equivalent Inequality: g g > 8 true. Then write an equivalent ☐ 61 ☐ 65 0 80 attempt 1 out
Answer:
g > 64
Step-by-step explanation:
You want an inequality equivalent to g/8 > 8.
SolutionThe properties of order say you do not change the value(s) of the variable by multiplying both sides of an inequality by a positive number.
Multiplying the given inequality by 8 gives the equivalent inequality ...
[tex]\dfrac{g}{8}\cdot8 > 8\cdot8\\\\\boxed{g > 64}[/tex]