Using ratios and proportions, he can make 15 batch of muffins from 2 bags of cornmeal
What are Ratios and ProportionsRatio is used for comparing two quantities of the same kind. The ratio formula for two numbers, a and b is expressed as a : b or a/b. When two or more ratios are equal, they are said to be in proportion. The concept of ratio and proportion is based on fractions.
Proportion refers to the equality of two ratios. Two equivalent ratios are always in proportion. Proportions are denoted by the symbol (: :) and they help us to solve for unknown quantities. In other words, proportion is an equation or statement that is used to depict that the two ratios or fractions are equivalent.
In this problem, we know that he has 2 bags of cornmeal
1 bag of cornmeal = 25 serving
2 bags = x
x = 2 * 25 = 50 servings
When making muffins, he needs 2.5 cups in a batch
But 3/4 cup = 1 serving
x cups = 50 serving
x = 50 * 3/4
x = 37.5 cups
1 batch = 2.5 cups
x batch = 37.5 cups
x = 37.5 / 2.5
x = 15 batch
He can make a 15 batches
Learn more on ratio and proportions here;
https://brainly.com/question/2784798
#SPJ1
the rise and run, please help
the slope ( rise over run ) is 1/2
Find the missing angles
What is the value of X
Answer:
x = 2
Step-by-step explanation:
Let's find our third angle:
60 + 60 + A = 180
A = 60
Because all of our angles are the same, the triangle must be equilateral, meaning all of the sides are the same length as well!
(Pick any two sides):
2x + 3 = 4x - 5
(add 5 to both sides):
2x + 8 = 4x
(Subtract 2x from both sides):
2x = 4
(divide both sides by two):
x = 2!
During a sale all items of men clothing were reduced by 20% of marked price if the store made 5% profit on the cost price what % of profit did it make on the marked up price before the sale
Answer: Sales Price = ($17,000 * 20%) + $17,000 = $20,400
4) A system of equations is shown below. Solve the system of equations using elimination.
(show your work 1 point) (correct answer 1 point)
Equation A: 5x + 9y = 10
Equation B: 4x - 3y = 8
Solving the system of equations 5x + 9y = 104x - 3y = 8 and using elimination, x is 2 and y is 0.
Describe elimination method.The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. The addition property of equality is used in the elimination technique to solve systems of linear equations. The same value can be added to both sides of an equation. You can therefore add x + y to the left side of the first equation and add 8 to the right side of the equation if your system is x - 6 = 6 and x + y = 8.
Given,
Equation A: 5x + 9y = 10
Equation B: 4x - 3y = 8
Solving the system of equations using elimination,
Multiplying equation B by 3
5x + 9y = 10
12x - 9y = 24
---------------------
17x = 34
x = 2
Equating x = 2 in equation 2
4x - 8 = 3y
4(2) - 8 = 3y
y = 0
To learn more about elimination method, visit:
https://brainly.com/question/12090959
#SPJ1
Determine which set of side measurements could be used to form a right triangle.
4, 11, 20
16, 21, 25
5, 13, 25
3, 4, 5
The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The side length of the triangle is shown in the option:
As we know,
Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
Using Pythagoras' theorem:
From option(D):
3, 4 and 5
(3)² + (4)² = 5²
9 + 16 = 25 (True)
Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
Learn more about the right-angle triangle here:
brainly.com/question/3770177
#SPJ1
A line of fit was used to predict the values of ŷ in the table:
x y ŷ
3 12 9.1
7 9 11.9
9 16 13.3
10 14 14
12 5 15.4
15 24 17.5
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the sum of the residuals is a large number.
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.
The line is the best fit because the sum of the residuals is a small number(1.2), so option D is correct.
What is a line of fit?A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit.
Calculate the residual as shown below,
[tex]Residual = y - \hat{y}[/tex]
12 - 9.1 = 2.9
9 - 11.9 = -2.9
16 - 13.3 = 2.7
14 - 14 = 0
5 - 15.4 = -10.4
24 - 17.5 = 6.5.
Hence, the sum of the residuals is given as follows:
2.9 - 2.9 + 2.7 + 0 - 10.4 + 6.5 = 1.2
The sum of the residual is a small number, so it is the best fit.
To know more about the line of fits:
brainly.com/question/22992800
#SPJ1
Select the correct answer. The square of y varies directly as the cube of x. When x = 4, y = 2. Which equation can be used to find other combinations of x and y?
Answer:
y = (2/64)x^3
Step-by-step explanation:
y = (2/64)x^3
Substitute in the given values:
When x = 4, y = (2/64)(4^3)
y = 2
Therefore, the equation is correct. To find other combinations of x and y, simply substitute different values for x in the equation and solve for y.
For example, when x = 3,
y = (2/64)(3^3)
y = (2/64)(27)
y = 1.5
what is the value of X in the figure below?
Answer:
x = 35
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(x + 110)° is an exterior angle of the triangle , then
x + 35 + x + 40 = x + 110
2x + 75 = x + 110 ( subtract x from both sides )
x + 75 = 110 ( subtract 75 from both sides )
x = 35
Find the measure of the arc or angle indicated.
The measure of arc DA is 104°.
What is inscribed angle?
In terms of geometry, an inscribed angle is the angle created when two chords intersect within a circle. It can also be described as the angle formed by two specified points on a circle at a given point on the circle. Two chords of the circle sharing an endpoint are equivalently used to define an inscribed angle.
We have to find the measure of arc DA.
In the given diagram the angle DBA is the inscribed angle.
Since, the measure of arc formed by inscribed angle is twice the measure of inscribed angle.
Here, m ∠DBA = 52°
Hence,
measure of arc DA = 2 (m ∠DBA)
= 2(52°)
measure of arc DA = 104°
Hence, the measure of arc DA is 104°.
To know more about inscribed angle, click on the link
https://brainly.com/question/3538263
#SPJ1
Alpha Industries is considering a project with an initial cost of $8.2 million. The project will produce cash inflows of $1.93 million
per year for 6 years. The project has the same risk as the firm. The firm has a pretax cost of debt of 5.67 percent and a cost of
equity of 11.31 percent. The debt-equity ratio is .62 and the tax rate is 24 percent. What is the net present value of the project?
O $553,990
O $498.591
O $576,150
O $474,849
O $418.860
The net present value of the project is $347,941.73.
What are the key points for solving this problem?Get the Weighted Average Cost of Capital first (WACC). WACC is the minimal return a project must provide in order to be approved. Thus, it is employed to discount a project's projected cash flows to its present value.
WACC = Ke × E/V + Kd × D/V.
where,
Ke is cost of equity
= 11.31%
E/V is Market Weight of Equity
= (1/1.62 × 100)
= 61.73%
Kd is After tax cost of debt
= 5.67% × ( 1 - 0.21)
= 4.48 %
D/V = Market Weight of Debt
= 0.65/1.65 × 100
= 39.40%
∴ WACC = 11.31% × 0.6773 + 4.48 % × 0.3940
= 9.43 %
Next, calculate the project's net present value using the formula,
i/yr = 9.43 %
$347,941.73.
learn more about net present value here :
https://brainly.com/question/29669538
#SPJ1
What is the equation of f(x)?
f(x)=8(4)x
f(x)=−8(4)x
f(x)=8
f(x)=−8
Answer:The correct anserw is f(x=-8
Step-by-step explanation:
How do I do this problem
The rule that describes the composition of transformations of triangle ABC to triangle A''B''C'' is given as follows:
R(x-axis) and T(-6,-2)(x,y) -> second option.
What are the transformations?The vertices of the original triangle are given as follows:
A(5,-5), B(1, -2) and C(1,-5).
The triangle A'B'C' was reflected, as the orientation was changed, and the vertices are given as follows:
A'(5,5), B'(1, 2) and C'(1,5).
Hence the rule of the reflection is given as follows:
(x,y) -> (x,-y).
Meaning that it underwent a reflection over the x-axis.
Then triangle A''B''C'' is obtained with a translation of triangle A'B'C', as only the position changed, keeping the orientation equal.
The vertices are given as follows:
A''(-1,3), B'(-5, 0) and C'(-5,3).
Hence the rule is given as follows:
(x,y) -> (x - 6, y - 2).
Which is a translation of 6 units left and 2 units down, meaning that the second option is correct.
More can be learned about transformations at https://brainly.com/question/28725644
#SPJ1
Classify the following triangle as acute, obtuse, or right.
A. Obtuse
• B. Acute
• C. Right
•. D. None of these
Answer:
A. obtuse
Step-by-step explanation:
process of elimination when looking at examples of different triangles
Tyson does 80 sit-ups during his work out. He wants to increase his sit-ups by 25%. Which represents the new amount of sit-ups?
The new amount of sit - ups will be 200.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Tyson does 80 sit-ups during his work out.
And, He wants to increase his sit-ups by 25%.
Now,
Since, Tyson does 80 sit-ups during his work out.
And, He wants to increase his sit-ups by 25%.
Hence, We get;
The new amount of sit-ups = 80 + 25% of 80
= 80 + 25/100 × 80
= 80 + 20
= 100
Thus, The new amount of sit - ups = 200
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ1
What is the image point of (3, 6) after the transformation T0,-3 o R90°
Answer:
The image point of (3,6) after the transformation T0,-3 o R90° can be found by first applying the transformation T0,-3, which shifts the point 3 units to the right and 3 units down. This results in the point (6,-3). Then, the transformation R90° rotates the point 90 degrees counterclockwise around the origin. This results in the point (-3,6). Therefore, the image point of (3,6) after the transformation T0,-3 o R90° is (-3,6).
Write a summary of what you learned and understand about slope, and slope triangles. Use some of the words below in your summary.
Vertical
Horizontal
m
negative
positive
count
triangle
slope
Line
The answer contains a brief description of the slope and slope triangle.
What is the slope of line?
Determine the slope of the line using the slope formula given two line-side coordinates. The formula m=(y2-y1)/ describes the slope as the proportion of the change in y values to the change in x values (x2-x1). The coordinates of the first point corresponding to x1 and y1. The second points are situated at the coordinates x2, y2, and. It doesn't matter which point you choose to rank as the first and which as the second.
slope triangle:
A slope triangle is a tool that you can use to visually determine a line's slope. Slope here refers to the degree of steepness.
Imagine that you are a pilot and that you have ascended by 1,000 feet in the air vertically. You have advanced (horizontally) 3,000 feet by the time you are 1,000 feet above the ground. You can calculate how steep your rise was using those two measurements. The inclination increases as the plane move ahead a certain distance.
Learn more about Slope, by the following link
https://brainly.com/question/3493733
#SPJ1
Simplify 5i/3-5i. Show your work for full credit.
Answer:15i-25/34
Step-by-step explanation:
You have to multiply by 3+5i to get rid of the i on the bottom since you can't have it.
5i/3-5i x 3+5i/3+5i
which expression is equivalent to 2^3/2^7
A. 2^4
B. 1/2^4
C. -2^4
D. - 1/2^4
The median monthly rent in 2000 was $602 and $651 in 2003. What was the percent increase in the median monthly rent prices from 2000 to 2003? Round to the nearest tenth of a percent.
Answer:9.8
Step-by-step explanation:
Find the missing side length.
Assume that all intersecting sides meet at right angles. Be sure to include the correct unit in your answer.
Answer:
5 yd
Step-by-step explanation:
Missing side = 11 - 6 = 5 yd
3. Pozfrescims nepibricoms
a) $5 x+8 ≤2-3 x
The value of x for the given inequality is always greater than and equal to -3/4.
In the given question we have to find the value of x.
The given inequality is 5x+8 ≤2-3x.
Now solving the given inequality.
To solve the inequality we firstly subtract 2 on both side, Then we equate the coefficient and variable in one side.
5x+8 ≤2-3x
Subtract 2 on both side, we get
5x+6≤-3x
Now subtract 5x on both side, we get
6≤-8x
Now divide by -8 on bot side, we get;
x≤-6/8
x≤-3/4
We change the inequality because the sign is changed.
Hence, the value of x for the given inequality is always greater than and equal to -3/4.
To learn more about solving the inequality link is here
brainly.com/question/11897796
#SPJ4
Can you help me with number 4 I can’t solve it I tried many ways. Help me do the full number 4 the x and the and angles please help me! Anyone
Answer:
x = 20 6/7∠3 = 65 3/7∠8 = 65 3/7Step-by-step explanation:
You have transversal n crossing parallel lines l and m, creating angles labeled 1–8. Angles 1, 3, 6, 8 are shown as obtuse, and the others are shown as acute. You want values of x and angles, given certain angle expressions.
4.The acute and obtuse angles are supplementary. Angles 3 and 5 are "consecutive interior angles", so are supplementary.
∠3 +∠5 = 180
(4x -18) +(3x +52) = 180
7x +34 = 180 . . . . . . . . . . collect terms
7x = 146 . . . . . . . . . subtract 34
x = 20 6/7 . . . . divide by 7
The measures of the angles are ...
∠3 = 4x -18 = 4(20 6/7) -18 = 83 3/7 -18 = 65 3/7
∠5 = 3x +52 = 3(20 6/7) +52 = 62 4/7 +52 = 114 4/7
Note that the total of angles 3 and 5 is 180°.
The problem asks for the measure of angle 8. Angle 8 is an alternate interior angle with respect to angle 3, so is congruent.
∠8 = ∠3 = 65 3/7
__
Additional comment
Note that the angle values of question 4 make the angles that appear to be obtuse in the diagram actually have measures less than 90°. The figure is not drawn to scale.
a pineapple which was bought for $1.00 was sold at $1.30. calculate the profit percent
Answer:
The profit percent is 30%.
Step-by-step explanation:
Answer: 30%
Step-by-step explanation:
Your profit is $0.30 so you have to calculate what percent 30 is of 100 (I converted both numbers to cents) and you would get 30%
Find the circumference of a pizza if the diameter is 10 inches.
0.314 in.
3.14 in.
3.04 in.
31.4 in.
Answer:
31.4 inch
Step-by-step explanation:
So the circumference of a circle is pi times the diameter=10 times 3.14 (pi is around 3.14)=31.4
Question 9 A report states that 56% of homes in Illinois had air conditioning. 4 pts How large a sample is needed to estimate the true proportion of Illinois homes that have air conditioning to within 3% with 99% confidence?
The required sample size to estimate the true proportion of Illinois homes that have air conditioning to within 3% with 99% confidence is of:
1816.
How to obtain the required sample size?The required sample size is obtained using the z-distribution, as we are working with a confidence interval of proportions.
The equation that determines the margin of error of a confidence interval is presented as follows:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which the variables used to calculated these bounds are listed as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The estimate in this problem, along with the desired margin of error, are given as follows:
[tex]\pi = 0.56, M = 0.03[/tex]
Then the needed sample size is calculated as follows:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 2.575\sqrt{\frac{0.56(0.44)}{n}}[/tex]
[tex]0.03\sqrt{n} = 2.575\sqrt{0.56 \times 0.44}[/tex]
[tex]\sqrt{n} = \frac{2.575\sqrt{0.56 \times 0.44}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.56 \times 0.44}}{0.03}\right)^2[/tex]
n = 1816. (rounded up, as a sample size of 1815 would have a margin of error slightly above 3%).
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
Eight minus a number is less than or equal to seventeen.
Alliyah’s gift card balance can be represented by the equation y=-5x+50, where y represents the gift card balance after x number of days. Graph this equation.
The graph of the given equation is attached bellow.
What is a graph?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
The relationships between two or more items are frequently represented by the points on a graph.
Here, for instance, we can plot a graph showing the type and quantity of school supplies used by pupils in a class based on the data provided below. Each supply is first counted, and the data is then shown in a table with specific colors in a logical order.
Given equation is y=-5x+50
Where y represents the gift card balance after x number of days.
First find some points on the line.
Putting x = 5 in the given equation:
y = (- 5 × 5) + 50
y = -25+ 50
y = 25
Putting x = 0 in the given equation:
y = (- 5 × 0) + 50
y = -0+ 50
y = 50
Putting x = -1 in the given equation:
y = (- 5 × (-1)) + 50
y = 5+ 50
y = 55
The points on the line are (5, 25), (0,50), and (-1,55).
Plot the points and join them.
To learn more about graph of an equation, click on below link:
https://brainly.com/question/28494690
#SPJ1
Kim bought a new car for $28,000. She paid a 20% down payment and financed the remaining balance for 48 months with an APR of 4.3%. Assuming she made monthly payments, determine the total cost of Kim's car. Round your answer to the nearest cent, if necessary.
The total cost of kim's car is $30,021.61
What is total ?
Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16.
20% of the car price
= (20 * 28,000 ) / 100
= $5600
She paid $5600 as down payment for new car
Financed remaining for 48 months = 4 years
APR = 4.3%
Loan amount = 28000 - 5600
= 22400
Monthly payment = [tex]\frac{P * R * (1+R)^{n} }{(1+R)^{n} - 1}[/tex]
Rate of interest = (R/12)/100
For 4.3 % R will be = 0.00358333
Monthly payment is = $508.78
So the total interest paid will be = $ 2021.61
Total cost of the car = cost price + interest
= 28000 + 2021.61
= 30021.61
To learn more about total from the given link
https://brainly.com/question/25109150
#SPJ1
Can anyone help me ??
Answer:
(5,11)
Step-by-step explanation:
try using desmos graphing calculator