Answer:
Ratio of sugar and flour
2:7
Ratio of milk and oil
3:1
Step-by-step explanation:
Here in this question, we shall be writing ratios based on the given number of cups in the question.
We start with ratio of sugar to flour.
We have;2 cups of sugar and 7 cups of flour. Thus we have the ratio of sugar to flour as 2:7
Also we want the ratio of milk and oil
we have 3 cups of milk and 1 cup of oil
So the ratio of milk and oil is 3:1
Answer: TO be short for it its B! :D
A cake mix calls for these ingredients.
2 cups of sugar
7 cups of flour
3 cups of milk
1 cup of oil
Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
3/7 > 2/1
2/7<3/1
7/1<2/3
3/2>1/7
2
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2/7<3/1
with 2 cups of sugar to 7 cups of flour that is a small ratio/ fraction while as
3 cups of milk to 1 cup of oil is a larger ratio/fraction.
douwdek0 and 60 more users found this answer helpful
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Answer: The correct option is (B).
The ratio of sugar to flour is and the ratio of milk to oil is
Step-by-step explanation: Given that a cake mix calls for the following ingredients:
2 cups of sugar , 7 cups of flour , 3 cups of milk and 1 cup of oil.
We are given to write the ratios of sugar to flour and milk to oil and select the correct comparison of the ratios.
The ratio of sugar to flour is given by
and the ratio of milk to oil is given by
Since
so have
Thus, the ratio of sugar to flour is and the ratio of milk to oil is The correct comparison is
Option (B) is CORRECT.
Step-by-step explanation:
Cheryl is planning to go to a four-year college in two years. She develops a monthly savings plan using the estimates shown. What should her monthly savings be? (rounded to the nearest cent)
Answer:
$541.67 per month
Step-by-step explanation:
Tuition and other expenses = $8,250 per semester.
There are two semesters in a year
She has 4 years to spend
Total semester=4years*2semesters
=8 semesters
4 years in college which is a total of 8 semesters.
Total Tuition and other expenses = $8,250 * 8
= $66,000
She needs a total of $66,00 to complete her college
Assistance from parents=$15,000
Financial aid(per semester)=$4750
Total financial aid=$38,000
Total assistance=
Assistance from parents+ financial aid
=$15000+$38,000
=$53,000
Total savings=Total amount needed - Total assistance
=$66,000 - $53,000
=$13,000
She needs to save $13,000 in two years
There are 12 months in one year
2 years=2*12=24 months
Monthly savings=Total savings/24 months
=$13,000/24
=$541.666666
To the nearest cent
=$541.67
Answer: $541.67
Step-by-step explanation: Got it right on TTM.
Antonio's toy boat is bobbing in the water next to a dock. Antonio starts his stopwatch, and measures the vertical distance from the dock to the height of the boat's mast, which varies in a periodic way that can be modeled approximately by a trigonometric function. The vertical distance from the dock to the boat's mast reaches its highest value of -27 \text{ cm}−27 cmminus, 27, space, c, m every 333 seconds. The first time it reaches its highest point is after 1.31.31, point, 3 seconds. Its lowest value is -44\text{ cm}−44 cmminus, 44, space, c, m. Find the formula of the trigonometric function that models the vertical height HHH between the dock and the boat's mast ttt seconds after Antonio starts his stopwatch. Define the function using radians.
Answer:
Step-by-step explanation:
Since we're given a time at which the height is maximum, we can use a cosine function for the model.
The amplitude is half the difference between the maximum and minimum: (-27 -(-44))/2 = 8.5 cm.
The mean value of the height is the average of the maximum and minimum: (-27 -44)/2 = -35.5 cm.
The period is given as 3 seconds, and the right shift is given as 1.31 seconds.
This gives us enough information to write the function as ...
H(t) = (amplitude)×cos(2π(t -right shift)/period) + (mean height)
H(t) = 8.5cos(2π(t -1.31)/3) -35.5 . . . . cm
please help!!!!! idk how to do this
Answer:
30 seconds.
Step-by-step explanation:
So, we have the equation:
[tex]h(t)=-16t^2+h[/tex]
Where t is the time in seconds and h is the initial height.
A barometer falls from a weather balloon at a height of 14,400 feet. In other words, the initial height is 14,400. Substitute for h:
[tex]h(t)=-16t^2+14400[/tex]
We need to find when the barometer hits the ground. Ground level is 0 feet. Therefore, we can substitute h(t) for 0 and solve for the equation (solve for t) in order to find how long (in seconds) it took for the barometer to fall:
[tex]0=-16t^2+14400\\-14400=-16t^2\\900=t^2\\t=\pm\sqrt{900} \\\text{Time cannot be negative.}\\t=\sqrt{900}\\ t=30 \text{ seconds}[/tex]
Therefore, it took 30 seconds for the barometer to hit the ground when it fell at a height of 14,400 feet.
Edit: Spelling.
On a coordinate plane, a line goes through (negative 4, negative 1) and (0, 1). Square a is around (negative 5, negative 2), square b is around (negative 1, 1), square c is around (1, 2), and square d is around (4, 4). The linear equation y = one-half x + 1 is represented by the graphed line. A second linear equation is represented by the data in the table. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 4. Column 2 is labeled y with entries 7, 6, 5, 4. In which square is the solution located?
Answer: D
Step-by-step explanation:
The solution of the two equations does not exist since they are parallel.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in x coordinates of two points.
Equation of a line in slope intercept form is y = mx + b, where m is the slope and b is y intercept.
Given linear equation of a line in slope intercept form as,
y = 1/2 x + 1
Here slope = 1/2 and y intercept = 1
y intercept is the y value of a point where it touches the y axis.
A second linear equation is to be found by using the values in the table.
Taking two points (2, 7) and (0, 6).
Slope = (6 - 7) / (0 - 2) = (-1) / (-2) = 1/2
Since the point (0, 6) is given, 6 is the y coordinate when the line touches the Y axis.
y intercept = 6
Equation of the second line is,
y = 1/2 x + 6
Since the slopes of two lines are equal, they are parallel.
There is no solution for two parallel lines.
Hence there is no solution for the linear equations given.
To learn more about Slope, click on the link :
https://brainly.com/question/19131126
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Which table represents a function?
Answer:
Table 4 represents a function.
Step-by-step explanation:
Functions require that each x-value has a unique y-value. In the other tables you see a value repeated in the x column, with a different value in the y column.
ERROR ANALYSIS Describe and correct the error
in finding the value of c that makes the expression a
perfect square trinomial.
x² + 30x + c
Х
x2 + 30x +
30
2
x2 + 30x + 15
La picture of your work or type your work.
Step-by-step explanation:
Our polynomial is x²+30x +c with a missing value c
c should make this polynomial expression a perfect square
Write the expression with a decreasing order of degreesx²+ 30x+c
write the terms as factorsx² + 2*15*x +c
notice that the in the middle we have 2*15*x so our third term will be 15²x²+2*15*x+15² ⇒ c = 15²=225
arrange your perfect square(x+15)²
Rewrite the radical expression as an expression with a rational exponent. the seventh root of x to the third power
Answer:I think it’s 7x^3
Step-by-step explanation:
The slope of the line below is -3 which is the following is the point - slope from the line ?
Answer:
D. y + 6 = -3(x - 2)
Step-by-step explanation:
To find the equation in point-slope form, you need to use the slope and a point from that line. The slope is -3 and the point given is (2, -6).
Point-slope form is y - y₁ = m(x - x₁). Plug in the slope and point.
y - (-6) = -3(x - 2)
y + 6 = -3(x - 2)
Answer:
D. [tex]y - 2 = -3(x+6 )[/tex]
Step-by-step explanation:
Well point slope form is,
[tex]y - y_{1} = m(x-x_{1} )[/tex]
So we already have slope meaning we can plug that in for m.
[tex]y - y_{1} = -3(x-x_{1} )[/tex]
And with the given point (2,-6),
we can create point slope form.
[tex]y - 2 = -3(x+6 )[/tex]
Therefore,
the answer is d. [tex]y - 2 = -3(x+6 )[/tex].
Hope this helps :)
What is the average length of a side in the shape made from the file datatest1.txt whose contents are shown below (just give to two decimal places)? -3,3 -4,-3 4,-2 6,5
Answer:
0.75
Step-by-step explanation:
The average length is given as the sum of all the lengths given divided by the number of lengths (frequency).
Mathematically:
Average = (Sum of lengths) / frequency
The lengths given are -3, 3, -4, -3, 4, -2, 6, 5. There are 8 lengths there.
The average is therefore:
Average = (-3 + 3 + (-4) + (-3) + 4 + (-2) + 6 + 5) / 8
Average = 0.75
URGENT!!!!!!
Identify the sequence graphed below and the average rate of change from n = 0 to n = 3 . (2, 10) (3, 5) (4, 2.5) (5, 1.25)
A) a_n=8(1/2)^(n-2); average rate of change is -3
B) a_n=10(1/2)^(n-2); average rate of change is -(35/3)
C) a_n=8(1/2); average rate of change is 3
D) a_n=10(1/2)^(n-2); average rate of change is 35/3
Answer: Choice B
a_n = 10(1/2)^(n-2) is the nth term
average rate of change = -35/3
=======================================================
Explanation:
Each time x increases by 1, y is cut in half. For instance, going from (2,10) to (3,5) shows this.
If we want to go in reverse, decreasing x by 1 will double the y value. So (1,20) is another point and (0,40) is another. We'll be using (0,40) and (3,5) because we want the average rate of change from x = 0 to x = 3. I'm using x in place of n here.
Use the slope formula to find the slope of the line through (0,40) and (3,5)
m = (y2-y1)/(x2-x1)
m = (5-40)/(3-0)
m = -35/3
The negative slope means the line goes downhill as you read it from left to right. The average rate of change from n = 0 to n = 3 is -35/3
The nth term of this geometric sequence is 20(1/2)^(n-1) since 20 is the first term (corresponds to n = 1) and 1/2 is the common ratio. Your teacher has done a bit of algebraic manipulation to change the n-1 into n-2. This means the 20 has to change to 10 to counterbalance.
In other words, 20(1/2)^(n-1) is equivalent to 10(1/2)^(n-2) when n starts at n = 1.
how many 4-digit numbers can be formed using only the digits 9, 8 and 7? :p
Answer: 81
Step-by-step explanation:
First digit and Second digit and Third digit and Fourth digit
3 choices x 3 choices x 3 choices x 3 choices = 81
You are testing the claim that the mean GPA of night students is greater than the mean GPA of day students. You sample 30 night students, and the sample mean GPA is 2.36 with a standard deviation of 0.96 You sample 60 day students, and the sample mean GPA is 2.19 with a standard deviation of 0.66 Calculate the test statistic, rounded to 2 decimal places
Answer:
Z = 0.87
Explanation:
Given the following data;
Sample 1:
n1 = 30
Mean, X = 2.36
Standard deviation, Ox = 0.96
Sample 2:
n2 = 60
Mean, Y = 2.19
Standard deviation, Oy = 0.66
The formula for test statistics for two population is;
[tex]Z = \frac{X-Y}{\sqrt{(\frac{Ox^2} {n_1} } +\frac{Oy^2}{n_2} )}}[/tex]
Substituting the values, we have;
[tex]Z = \frac{2.36-2.19}{\sqrt{(\frac{0.96^2} {30} +\frac{0.66^2}{60} )}}[/tex]
[tex]Z = \frac{0.17}{\sqrt{(\frac{0.9216} {30} +\frac{0.4356}{60} )}}[/tex]
[tex]Z = \frac{0.17}{\sqrt{(0.03072 +0.00726)}}[/tex]
[tex]Z = \frac{0.17}{\sqrt{0.03798}}[/tex]
[tex]Z = \frac{0.17}{0.19488}[/tex]
Z = 0.8723
The test statistics to 2 d.p is 0.87
Therefore, Z = 0.87
Need help with this problem!
Answer:
1 Pound of Rock = .01 cubic feet
OR 100 pounds per cubic foot
A) Company needs 500,000 pounds of rock
Volume of Rock to be transported: = 500,000 * .01 =
5,000 cubic feet
B) Volume of each truck 12 * 9 * 8 = 864 cubic feet
C) Trucks needed for entire shipment:
= 5,000 / 864 = 5.78
So, we'll need 6 trucks.
Step-by-step explanation:
It takes 4 people 2 days to paint a wall. How long would it take if we got 8 people to do it?
Answer:
if it takes 4 people for 2 days
4+4= 8
so it would only take 8 people for 1 day
Answer:
1 day
Step-by-step explanation:
4 people = 2 days
→ Work out how long 1 person takes
4 people = 2 days
( ÷ 4 ) ( × 4 )
1 person = 8 days
→ Work out how long 8 people can do it
1 person = 8 days
( × 8 ) ( ÷ 8 )
8 people = 1 day
You and your sister are selling cookies to help raise money for your field trip. You start out with $24 and sells each bag of cookies, c, for $3. Your sister doesn’t start out with any money but sells her bags of cookies for $5 each. How many bags of cookies must they sell in order for them to raise the same amount of money?
Answer:
12 bags of cookies.
Step-by-step explanation:
Since you already start out with $24, you will have a y-intercept of 24. Your slope will be 3, since each bag sells for $3.
Your equation will be y = 3c + 24.
Your sister does not start out with money, so she will have a y-intercept of 0. Her slope will be 5, as each bag sells for $5.
Her equation will be y = 5c.
Since y = y, you can set the two equations equal to each other.
3c + 24 = 5c
5c = 3c + 24
Subtract 3c from both sides
2c = 24
Divide both sides by 2
c = 12
So, they must sell 12 bags of cookies to raise the same amount of money, $60. Yum!
Hope this helps!
9/10 of the weight of a loaf of bread comes from the flour used in its baking. 2/9 of the weight is the protein what fraction of the weight is protein?
Answer:
1/5
Step-by-step explanation:
2/9 * 9/10 = 2/10 = 1/5
Can someone help me with this problem?
━━━━━━━☆☆━━━━━━━
▹ Answer
Slope = 1
▹ Step-by-Step Explanation
y = mx + b
'm' represents the slope. since there is no number before the x, the coefficient will always be 1. therefore, the slope is 1.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Which could be used to solve this equation? 3 and one-fifth + n = 9 Subtract 3 and one-fifth from both sides of the equation. 3 and one-fifth minus 3 and one-fifth + n = 9 + 3 and one-fifth Add 3 and one-fifth to both sides of the equation. 9 + 3 and one-fifth = 12 and one-fifth
Answer:
Subtract [tex]3\frac{1}{5}[/tex] from both sides.
Step-by-step explanation:
We want to isolate the variable [tex]n[/tex]. To do this, we have to get rid of [tex]3\frac{1}{5}[/tex], which we can do by subtracting itself, since it equals 0.
[tex]3\frac{1}{5} + n =9[/tex]
[tex]n = 5\frac{4}{5}[/tex]
Answer:
ITS A
Step-by-step explanation:
Solve this problem n-6/-4=6
Answer:
N= 9/2
Step-by-step explanation:
Answer:
n = - 18Step-by-step explanation:
[tex] \frac{n - 6}{ - 4} = 6[/tex]
Cross multiply
We have
n - 6 = - 4 × 6
n - 6 = - 24
n = - 24 + 6
n = - 18Hope this helps you
HELPPPP The equation 2x = 3y – 5 when written in slope-intercept form is: y = 2x – 5. y = -2x + 5. y = 2x + 5. None of these choices are correct.
Answer:
Y= 2/3x +(5/3)
Step-by-step explanation:
First, have to get Y alone on one side 3y=2x+5
Second, have to get read of the 3 with the Y so divide each side by three.
Which of the following is a factor of x3+ 6x2 + 5x – 12?
A.X + 1
B. x - 3
C. x + 2
D. x + 4
1,3,4 that is the answer
Answer:
The answer is option D.Step-by-step explanation:
x³ + 6x² + 5x - 12
A factor of the polynomial is the value of x when substituted into the expression will make it zero
Choosing x + 4
x = - 4
We have
(- 4)³ + 6(- 4)² + 5(- 4) - 12
-64 + 96 - 20 - 12 = 0
Since the result is zero
x + 4 is a factor of the polynomial
Hope this helps you
Find the value of this expression if x=3 x^2 + 3/x-1
Answer: 9
Step-by-step explanation:
[tex]3^2 + \frac{3}{3}-1\\\\=9+1-1\\\\=9[/tex]
Two cars leave an intersection. One car travels north: the other east. When the car traveling north had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading east. How far had the eastbound car traveled?
Answer:
20 miles
Step-by-step explanation:
Given that :
When the car traveling north 'N' had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading east
Let the distance moved by the east bound car be e,
therefore, distance between the cars when the northbound car had traveled a distance of 15 miles = e + 5
Using Pythagoras rule:
(Hypotenus)^2 = (adjacent)^2 + (Opposite)^2
(e+5)^2 = 15^2 + e^2
(e+5)(e+5) = 225 + e^2
e^2 + 5e + 5e + 25 = 225 + e^2
e^2 + 10e + 25 = 225 + e^2
e^2 - e^2 + 10e = 225 - 25
10e = 200
e = 200 / 10
e = 20 miles
Check attached picture for solution diagram
PLEASE HELP!! A car manufacturer does performance tests on its cars. During one test, a car starts from rest, and accelerates at a constant rate for 20 seconds. another car starts from rest three seconds later, and accelerates at a faster constant rate. The equation that models the distance (d) in metres the first cars equation is d=1.16t^2, where t is time, in seconds, after the car starts. The equation for the second car is: d=1.74(t-3)^2. a) in context, what is a suitable domain for the graph of the system? b) at what time will both cars have driven the same distance? c) how far will they have driven at this time?
Answer:
0 ≤ t ≤ 2516.348 seconds310.0 metersStep-by-step explanation:
a) Since these are production vehicles, we don't expect their top speed to be more than about 70 m/s, so the distance functions probably lose their validity after t = 25. Of course, t < 0 has no meaning in this case, so the suitable domain is about ...
0 ≤ t ≤ 25
Note that the domain for the second car would be 3 ≤ t ≤ 25.
__
b) The graph of this system shows the cars will both have driven the same distance after 16.348 seconds.
__
c) At that time, the cars will have driven 310.0 meters.
_____
Non-graphical solution
If you like, you can solve the equation for t:
d1 = d2
1.16t^2 = 1.74(t -3)^2
0 = 0.58t^2 -10.44t +15.66
t = (10.44 +√(10.44^2 -4(0.58)(15.66)))/(2(0.58)) = (10.44+8.524)/1.16
t = 16.348 . . . . time in seconds the cars are at the same distance
That distance is found using either equation for distance:
1.16t^2 = 1.16(16.348^2) = 310.036 . . . meters
One angle of an isosceles triangle is 80º. What are the other two angles?
Answer:
80 and 20
Step-by-step explanation:
80+80+20=180
50 Pts!!! Answer ASAP.
Answer:
0.8
Step-by-step explanation:
because the template should be axr^n-1
where r is the common ratio
r=0.8
Answer:
0.8
Step-by-step explanation:
Which table represents a direct variation function? A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 4.5, negative 3.0, negative 1.5, 0.0, 1.5. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 4.5, negative 3.5, negative 2.5, negative 1.5. The second row, y, has the entries, 10, 8, 6, 4, 2. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 5.5, negative 5.5, negative 5.5, negative 5.5. The second row, y, has the entries, negative 3, negative 1, 2, 5, 10. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 7.5, negative 2.5, 5.0, 12.5, 25.0.
Answer:
The correct option is;
A table with 6 columns and 2 rows. The first row, x, has entries, negative 3, negative 1, 2, 5, 10. The second row, y, has entries, negative 7.5, negative 2.5, 5.0, 12.5, 25
Please find attached the graphs of the table data
Step-by-step explanation:
Each of the given table data of in the tables are analysed to find direct variation;
Table 1
x, -3, -1, 2, 5, 10
y, -4.5, -3.0, -1.5, 0.0, 1.5
-4.5/-3 = 1.5 ≠ -3.0/-1 = 3
No direct variation
Table 2
x, -5.5, -4.5, -3.5, -2.5, -1.5
y, 10, 8, 6, 4, 2
10/(-5.5) = -20/11 ≠ 8/(-4.5) = -16/9
However, 10/(-5.5 + 0.5) = -2 = 8/(-4.5 + 0.5) = -2
Adjusted direct variation
Table 3
x, -5.5, -5.5, -5.5, -5.5, -5.5
y, -3, -1, 2, 5 , 10
-3/(-5.5) ≠ -1/-5.5
No direct variation
Table 4
x, -3, -1, 2, 5, 10
y, -7.5, -2.5, 5.0 , 12.5, 25
-7.5/-3 = 2.5 = -2.5/(-1) = 5.0/2 = 12.5/5 =25/10
Direct variation exists
Answer:
so D
Step-by-step explanation:
Simplify. Your answer should contain only positive exponents.
9) 3^-1 • 3^0
Answer:
1 / 3^1
Step-by-step explanation:
3^-1 • 3^0
When multiplying exponents with the same base, we add the exponents
3^ (-1+0)
3 ^-1
We know that a^ - b = 1/a^b
3 ^ -1 = 1/3^1
A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (–6, –4) (0, –1) (0, –2) (2, 0)
Answer:
The solution of the system of equations is (x,y) = (2,0)
Step-by-step explanation:
The equation of a line through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to:
[tex]y-y_1=m(x-x_1)[/tex]
Where [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, the equation of the line through the points (3, 1) and (–5, –7) is:
[tex]m=\frac{-7-1}{-5-3}=1[/tex]
[tex]y-1=1(x-3)\\y=x-3+1\\y=x-2[/tex]
Then, we have two equations, y=x-2 and y=0.5x -1 , so solving for x, we get:
x - 2 = 0.5 x - 1
x - 0.5x = 2 - 1
x = 2
Replacing x=2 in the equation y=x-2, we get:
y =2 - 2 = 0
Finally, the solution of the system of equations is (x,y) = (2,0)
Answer:The solution of the system of equations is (x,y) = (2,0)
Step-by-step explanation:
How can systems of linear equations with two variables be solved using algebraic methods?
Answer: The systems are solved by solving for one variable in one of the equations, then substituting that equation into the second equation. Solve for a in the second equation, then substitute the second equation into the first. The Elimination Method: Both equations are in standard form: Ax + By = C.