Rebecca is making simple syrup using 3 cups of sugar for every 2 cups of water. She wants tocreate larger batches using the same ratio and begins to record the values in the ratio tablebelow. What is the missing value?
Answers
Use proportions to find the missing value.
\(\begin{gathered} \frac{3}{2}=\frac{12}{x} \\ x=12\cdot\frac{2}{3} \\ x=8 \end{gathered}\)The missing value is 8
Related Questions
Write the equation of a line that passes through the
points shown in the table.
Which equations represent a line that passes through
the points given in the table? Check all that apply.
х
y
y-2 = -6(x + 10)
Oy-2=-1(x + 10)
-10
2
Oy-1--1(x + 4)
-4
1
y=-6x - 58
8.
-1
y=-3x+
y=-**+5
14
-2
Answers
Answer:
it's b on edge 2020
Step-by-step explanation:
you're welcome :)
The equations of the line that passes throught the point given in the table are as follows;
\(y = -\frac{1}{6} x+\frac{1}{3}\)
\(y-2=-\frac{1}{6}(x+10)\)
Equation of a straight lineThe linear equation of a striaght line is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
m = 1 - 2 / -4 + 10
m = - 1 / 6
Let's find b using (-10, 2)
2 = - 1 / 6(-10) + b
2 = 5 / 3 + b
b = 2 - 5 / 3
b = 6 - 5 / 3
b = 1 / 3
hence,
\(y = -\frac{1}{6} x+\frac{1}{3}\)
using y - y₁ = m(x - x₁)
y₁ = 2
x₁ = -10
m = - 1 / 6
Hence,
\(y-2=-\frac{1}{6}(x+10)\)
learn more on equation of a line here: https://brainly.com/question/20897328
#SPJ5
60th term for 6,12,18
Answers
Hi, there. Here's your answer:
I hope this helped.
Given Segment AC with point B contained on the segment, as shown below.
Write a complete two-column proof for following information:
Given: Segment AB = x + 16, Segment BC = 4x + 11
Segment AC = 77
Prove: AB = 26
Answers
Hey there !
Please check the attached image.
~ Benjwmin360
Write a proportion for this situation, and then solve.
Last week, Frankie ate 50 hot dogs in 12 minutes! At this rate, how many hot dogs could Frankie eat
in an hour?
Please anser
Answers
he could eat 250 hotdogs in an hour
50÷12=4.166
4.166×60=250
Answer 250
Please answer these few questions on circumference will give BRAINLIEST if correct PLEASE SHOW WORK
Answers
Is the graph increasing, decreasing, or constant where 8
Answers
3) reflection across y=1
Answers
Answer:
The line y=-1 is a horizontal line and thus is a line that is parallel to the x-axis. If we reflect about a line that is parallel to the x-axis, then the x-coordinate of the point (that is reflected) will remain the same, thus the image of (2,-4) has x-coordinate 2 and thus the point is of the form (2,b).
Step-by-step explanation:
can i get Brainliest qwq
What is the slope of -x+ 5y = 10?
Answers
Answer:
Slope = 1/5
Step-by-step explanation:
Given equation,
→ -x + 5y = 10
The slope-intercept form,
→ y = mx + b
→ slope = m
Now the slope-intercept form is,
→ -x + 5y = 10
→ 5y = x + 10
→ y = (x + 10)/5
→ [ y = (1/5)x + 2 ]
Then the required slope will be,
→ y = (1/5)x + 2
→ Slope = m = 1/5
Hence, the required slope is 1/5.
Answer:
\(\textsf{Slope}=\dfrac{1}{5}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)
Given equation:
\(-x+5y=10\)
To find the slope of the given equation, use algebraic operations to isolate y.
Add x to both sides of the equation:
\(\implies -x+5y+x=10+x\)
\(\implies 5y=x+10\)
Divide both sides of the equation by 5:
\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)
\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)
\(\implies y=\dfrac{1}{5}x+2\)
The coefficient of x is the slope of the equation.
Therefore, the slope of the given equation is ¹/₅.
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
![Find the missing side. 31 Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/9Wo53l4VJj28ga8aoyl87alnvnYAbri4.jpeg)
Answers
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED
Answers
Answer:
Answer 2 i think
i did it myself and that what got i might have done it wrong.
If two dices are rolled, and the numbers multiplied together, find the
probability that the product is less than 10?
Answers
Answer: Im sorry i dont really get the question :/
Step-by-step explanation:
(a) (i) Find the probability of getting at least one 3 when 9 fair dice are thrown. (ii) When n fair dice are thrown, the probability of getting at least one 3 is greater than 0.9. Find the smallest possible value of n. (b) A bag contains 5 green balls and 3 yellow balls. Ronnie and Julie play a game in which they take turns to draw a ball from the bag at random without replacement. The winner of the game is the first person to draw a yellow ball. Julie draws the first ball. Find the probability that Ronnie wins the game.
Answers
Answer:
(a)
(i) The probability of getting at least one 3 when 9 fair dice are thrown is 0.8062.
(ii) The value of n is 12.
(b) The probability that Ronnie wins the game is 0.3572.
Step-by-step explanation:
(a)
(i)
The probability of getting a 3 on a single die roll is, \(p=\frac{1}{6}\).
It is provided that n = 9 fair dice are thrown together.
The outcomes of each die is independent of the others.
The random variable X can be defined as the number of die with outcome as 3.
The random variable X follows a Binomial distribution with parameters n = 9 and \(p=\frac{1}{6}\).
Compute the probability of getting at least one 3 as follows:
\(P(X\geq 1)=1-P(X=0)\)
\(=1-[{9\choose 0}(\frac{1}{6})^{0}(1-\frac{1}{6})^{9-0}]\\\\=1-(\frac{5}{6})^{9}\\\\=1-0.19381\\\\=0.80619\\\\\approx 0.8062\)
Thus, the probability of getting at least one 3 when 9 fair dice are thrown is 0.8062.
(ii)
It is provided that:
P (X ≥ 1) > 0.90
Compute the value of n as follows:
\(P (X \geq 1) > 0.90\\\\1-(\frac{5}{6})^{n}>0.90\\\\(\frac{5}{6})^{n}<0.10\\\\n\cdot \ln (\frac{5}{6})<\ln (0.10)\\\\n<\frac{\ln (0.10)}{\ln (5/6)}\\\\n<12.63\\\\n\approx 12\)
Thus, the value of n is 12.
(b)
It is provided that the bag contains 5 green balls and 3 yellow balls.
Ronnie and Julie play a game in which they take turns to draw a ball from the bag at random without replacement.
The winner of the game is the first person to draw a yellow ball.
Also provided that Julie draws the first ball.
P (Ronnie Wins) = P (The 1st yellow ball is selected at an even draw)
= P (The 1st yellow ball is drawn at 2nd, 4th and 6th draw)
= P (1st yellow ball is drawn at 2nd)
+ P (1st yellow ball is drawn at 4th)
+ P (1st yellow ball is drawn at 6th)
\(=[\frac{5}{8}\times \frac{3}{7}]+[\frac{5}{8}\times \frac{3}{7}\times \frac{4}{6}\times \frac{2}{5}]+[\frac{5}{8}\times \frac{3}{7}\times \frac{4}{6}\times \frac{2}{5}\times \frac{1}{4}\times 1]\\\\=0.2679+0.0714+0.0179\\\\=0.3572\)
Thus, the probability that Ronnie wins the game is 0.3572.
Work out 8/13 x 7/55 x 11/2 Give your answer as a fraction in its lowest terms.
Answers
\(\cfrac{8}{13}\cdot \cfrac{7}{55}\cdot \cfrac{11}{2}\implies \cfrac{8\cdot 7\cdot 11}{13\cdot 55\cdot 2}\implies \cfrac{616}{1430}\implies \cfrac{(22)(28)}{(22)(65)}\implies \cfrac{28}{65}\)
Answer:
28/65
Step-by-step explanation:
8/13×7/55×11/2
8/13×7/55=56/715
56/715×11/2=56/130=28/65
For which points is the re-coordinate less than 3? point a point b point c point d
Answers
Answer:
i think point c GL
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A bucket can hold 5 gallons of water. About how many liters of water can the bucket hold? Round to the nearest tenth.
Answers
EXPLANATION : just did it
what's up? 5 gallons ≈ 19 liters (THIS IS U.S. GALLON, THE OTHER ANSWER HAS IMPERIAL GALLON IF THAT IS WHAT YOU NEED)
best of luck with your studies
The table represents the number of miles to the nearest airport. Find the median.
# OF MILES: 20, 22, 24, 26
FREQUENCY: 3, 2, 1, 4
Answers
The median value in the data set is the average of the two middle values which is: 23.
What is the Median of a Data Set?In an ordered data set, the median is the middle value or average of the two middle values in the data set.
List out each data point in the data set given:
20, 20, 20, 22, 22, 24, 26, 26, 26, 26
The middle values in the data set are, 22 and 24.
Median = (22 + 24)/2
Median = 23
Learn more about the median on:
https://brainly.com/question/26177250
WILL GIVE BRAINLIST!!HELP PLEASE!! I NEED IT!
"Write an arithmetic sequence whose common difference is 2.5
Answers
XXX
f
(
n
)
=
a
0
−
(
2.5
n
)
where
a
0
is the initial value of the arithmetic sequence.
Explanation:
If the common difference is
(
−
2.5
)
for an arithmetic sequence starting at
a
0
, then
XXX
a
1
=
a
0
−
2.5
XXX
a
2
=
a
1
−
2.5
=
a
0
−
(
2.5
×
2
)
XXX
a
3
=
a
2
−
2.5
=
a
0
−
(
2.5
×
3
)
and in general
XXX
a
n
=
a
n
−
1
−
2.5
=
a
0
−
(
2.5
×
n
Some teachers prefer to start the sequence designated as
a
1
In this case:
XXX
a
n
=
a
1
−
(
2.5
(
n
−
1
)
)
=
a
1
+
2.5
−
2.5
n
A scientist needs 180 milliliters of a 20% acid solution for an experiment. The lab has available a 25% and a 10% solution. How many milliliters of the 25% solution and how many milliliters of the 10% solution should the scientist mix to make the 20% solution
Answers
9514 1404 393
Answer:
120 mL of 25% solution60 mL of 10% solutionStep-by-step explanation:
Let q represent the quantity of 25% solution in the mix. Then 180-q is the quantity of 10% solution. The quantity of acid in the mix is ...
0.10(180 -q) +0.25(q) = 0.20(180)
18 +0.15q = 36 . . . . simplify
0.15q = 18 . . . . . . . . subtract 18
q = 18/0.15 = 120 . . . . divide by the coefficient of q
180-q = 60
The scientist should mix 120 mL of 25% solution with 60 mL of 10% solution.
m= -2, b 7/2
Enter the equation of the line in slope-intercept form.
Answers
slope intercept form:
y=mx+b
m=-2, b=7/2
answer:
y=-2x+7/2
help meeeeee plssss with steps
Answers
Answer:
p = 18, q = 0
Step-by-step explanation:
The expression on the left side of the equation is
\(\large \text {$ \dfrac{\sqrt{5}+\:2}{\sqrt{5}-2}+\dfrac{\sqrt{5}-\:2}{\sqrt{5}+2} $}\)
Multiply the denominators to get a common denominator:
\(\text{$\left(\sqrt{5}-2\right)\left(\sqrt{5}+2\right)$}\)
= \(\left(\sqrt{5}\right)^2-2^2\) ∵ (a + b)(a - b) = a² - b²
\(=5-4\\\\= 1\)
\(\large \text {$ \dfrac{\sqrt{5}+\:2}{\sqrt{5}-2}+\dfrac{\sqrt{5}-\:2}{\sqrt{5}+2} $}\\\\\)
\(=\dfrac{\left(\sqrt{5}+2\right)\left(\sqrt{5}+2\right)}{\left(\sqrt{5}-2\right)\left(\sqrt{5}+2\right)} + \dfrac{\left(\sqrt{5} - 2\right)\left(\sqrt{5} - 2\right)}{\left(\sqrt{5}-2\right)\left(\sqrt{5}+2\right)}\)
Since denominator
\(\text{$\left(\sqrt{5}-2\right)\left(\sqrt{5}+2\right)$} = 1,\)
the expression becomes
\(=\left(\sqrt{5}+2\right)^2 + \left(\sqrt{5}-2\right)^2\\\\= 5 + 4\sqrt{5} + 4 + 5 - 4\sqrt{5} + 4\\\\\)
\(= 10 + 8 = 18\)
Therefore
\(\large \text {$ \dfrac{\sqrt{5}+\:2}{\sqrt{5}-2}+\dfrac{\sqrt{5}-\:2}{\sqrt{5}+2} = p + q\sqrt{5}$}\\\\\\= > \large \text{$ 18 = p + q\sqrt{5}$}\)
Now \(\sqrt{5}\) is an irrational number and p = rational so since there is no \(\sqrt{5}\) term on the left side, q = 0 and p = 18
Here is a list of numbers.
-45
-21
-16
12
33
40
a) Write down two numbers from the list that add up to -9.
b) Write down two numbers from the list that have a difference of 29.
c) Work out the sum of all the numbers in the list.
Answers
Answer:
(a): -21 and 12.
(b): -45 and -16
(c): 3.
Step-by-step explanation:
(a): -21 + 12 = -9.
(b): -45 - -16 = 29.
(c): -45 + -21 + -16 + 12 + 33 + 40 = 3.
Find the distance between each pair of points. Round your answer to the nearest tenth, if
necessary.
5) (1, 2), (-5,4)
Answers
Answer:
2(10^.5)
Step-by-step explanation:
d = ((x2 - x1)^2 + (y2 - y1)^2)^0.5
solve pls brainliest
Answers
Step-by-step explanation:
-181+485=304
-146-(-181)=35
I'm trying to explain solving equations by factoring to my son\(x(2x+6)=0\)
Answers
When the product of factors equals 0, at least one factor is 0
X= 0
2x+6=0
Solve the equation for x
X=0
X = -3
The equation has two solutions.
Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
Answers
Your analysis is correct. Here's a summary:
If it is sunny, then it is 80° Fahrenheit. (Original statement)
Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)
If it is not sunny, then it is not 80° Fahrenheit. (Original statement)
Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)
Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)
Counterexample: A day that is 80° Fahrenheit and cloudy.
In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").
Is 9x-(9x)^2=19-y linear or non linear
Answers
this question is non linear
Why is choosing a smaller unit of measure is more meaningful?
Pls explain due tomorrow!!!
Answers
Answer: Choosing a smaller unit of measure is more meaningful because it allows for more precise measurements. When using a smaller unit of measure, such as millimeters instead of centimeters, or seconds instead of minutes, you are able to capture more detailed information about the measurement. For example, measuring something in centimeters may give you a rough idea of the size, but measuring it in millimeters will give you more detailed information, which can be especially important in scientific or technical fields. Additionally, choosing a smaller unit of measure can be more meaningful when making comparisons or performing calculations, as it allows for greater accuracy.
Step-by-step explanation:
Hopes this helps you for Tomorrow!!
What is the slope of the line that passes through the points (3, 1) and (–2, 5)? Responses −5/4 − 5/4 −4/5 − 4/ 5 4/5 5/4
Answers
Answer:-4/5
Step-by-step explanation:
Question 1 of 10
Which of the following is used to measure a vehicle's efficiency when it
comes to distance traveled with 1 gallon of gas?
A. Miles per gallon, or mpg
B. Fuel tank size
C. GPA
D. Odometer
SUBMIT
Answers
Answer:
A. Miles per gallon, or mpg
explanation:
Fuel economy is a measure of how far a vehicle will travel with a gallon of fuel; it is expressed in miles per gallon.
Miles per gallon, or mpg is used to measure a vehicle's efficiency when it comes to distance traveled with 1 gallon of gas
What is Speed?Speed is the time rate at which an object is moving along a path,
Miles per gallon, or mpg, is used to measure a vehicle's efficiency when it comes to distance traveled with 1 gallon of gas.
It is a measure of how far a car can travel on one gallon of gasoline.
The higher the mpg, the more efficient the car is in terms of fuel consumption.
Fuel tank size, GPA, and odometer are not used to measure a vehicle's efficiency in terms of fuel consumption.
Hence, Miles per gallon, or mpg is used to measure a vehicle's efficiency when it comes to distance traveled with 1 gallon of gas
To learn more on Speed click:
https://brainly.com/question/28224010
#SPJ7
A boat travels 336 miles in 67
hours (with a constant speed).
How far can it travel in 58 hours
(with the same speed)?
Answers
336 Miles/ 67 Hours= 5.01 Miles Per Hour
58 Hours* 5.01 MPH= 290.87 Miles