jonah has a recipe that uses 1 1/2 cups of brown sugar and 2 1/3 cups of flour to make muffins. if jonah uses 7 cups of flour,how many cups of brown sugar will he use to make the muffins

For given trapezoid, the measures of angles A, B, and D are 40 degrees and 50 degrees, respectively.

A trapezoid is a quadrilateral with one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The legs may be of equal length, or they may be different lengths.

Since trapezoid ABCD has two parallel sides, we know that angle A + angle D = 180 degrees. Similarly, angle B + angle C = 180 degrees.

Therefore, we can write:

angle A + angle B + angle C + angle D = 360 degrees

Substituting angle A = angle B and angle C = angle D, we get:

2(angle A) + 2(angle C) = 360 degrees

Simplifying:

2(angle A) + 2(50)= 180 degrees

2(angle A) = 180 degree-100 degree

2(angle A) = 80 degree

angle A= 80 degree/2

angle A = 40 degree

Since we know that angle A = angle B

angle B= 40 degree

Therefore,

angle A = angle B = 40 degrees

angle D = angle C = 50 degrees

So the measures of angles A, B, and D are 40 degrees and 50 degrees, respectively.

To know more about trapezoid visit:

https://brainly.com/question/1410008

#SPJ1

The perimeter of the figure is 20.56 centimetres

Explain perimeter

Perimeter is the distance around the edge of a two-dimensional shape, such as a polygon or a circle. It is calculated by adding the length of all the sides of the shape. Perimeter is a fundamental measure in geometry and is used to determine the amount of material needed to enclose a shape, such as fencing or paving. It is also used to compare the size of different shapes with the same perimeter.

According to the given information

The perimeter of the figure is 4+4 + circumference of the circle with diameter 4= 8+12.56= 20.56

To know more about perimeter visit

brainly.com/question/6465134

#SPJ1

The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

To know more about equation check the below link:

https://brainly.com/question/17145398

#SPJ1

Answer:

I cannot understand the question

Answer: 36

Step-by-step explanation:

Answer:

$232,241.07

Step-by-step explanation:

To calculate the total amount in the account after 30 years of depositing $3,000 each year and earning 6% interest compounded annually, we can use the formula for the future value of an annuity:

FV = P * (((1 + r)^n - 1) / r)

where:

FV is the future value of the annuity

P is the periodic payment (in this case, $3,000 per year)

r is the interest rate per compounding period (in this case, 6% per year, compounded annually)

n is the number of compounding periods (in this case, 30 years)

Substituting the given values, we get:

FV = $3,000 * (((1 + 0.06)^30 - 1) / 0.06)

Using a calculator, we get:

FV ≈ $232,241.07

Therefore, the total amount in the account after 30 years, rounded to the nearest cent, is $232,241.07.

Answer:

x=26

Step-by-step explanation:

5x=3x+52

5x-3x=52

2x=52

2x/2=52/2

x=52/2

x=26

Answer:

The third choice (the bottom one)

Step-by-step explanation:

By law of sin, an angle over the side opposite of the angle is equal to another angle over side opposite of the angle. If that doesn't make sense, refer to the picture below. The first option is not applicable because y is not opposite the angle measuring 100 degrees. Therefore, law of sin cannot be applied. The second option is not applicable because y is not opposite the angle measuring 46 degrees. The third option is applicable because the side measuring 21 unites is opposite the angle measuring 46 degrees and side y is opposite the angle measuring 34 degrees.

Axis of symmetry: x = 1[tex]\\[/tex]

Vertex: (0,1)

Y-intercept: (0,1)

Min / Max: 0 / infinity

Domain: -infinity ≥ x ≥ infinity

Range: 0 ≥ y ≥ infinity

The data from the distribution shows a symmetric distribution.

The data from a distribution can be described as symmetric when the values of the data are evenly distributed around its center point. This mans that if the data is folded along its center point and the two halves overlap perfectly, then the distribution is said to be symmetric.

In the histogram, we see an example of symmetric data because the center value that has the frequency of 10 ahs even distribution on both sides.

Learn more about histograms here:

https://brainly.com/question/2962546

#SPJ1

Answer:

f(x) = 4(1.095)^x.

Step-by-step explanation:

The function f(x) = 4(1+0.1/0.5)^0.5x can be simplified using the order of operations, which is PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction).

First, we can simplify 0.1/0.5 to get 0.2.

Next, we can simplify (1 + 0.2) to get 1.2.

Then, we can simplify (1.2)^0.5 to get approximately 1.095.

Finally, we can multiply 4 by 1.095^x to get the simplified function:

Answer:

d. x > 2 or x < -2

Step-by-step explanation:

Domain describes the range of x-values in a function.

Domain

The domain of a graph is all of the x-values covered by the function. The domain does not reflect the y-values of a function. This means that answers A and B are automatically wrong.

By looking at the graph, we can tell that there is a gap where some x-values are not covered. This gap is known as a discontinuity. The discontinuity begins at -2 and ends at 2. All of the x-values in the discontinuity are not a part of the domain, and any parts of the graph that are continuous, are included in the domain. The graph is continuous at all points greater than 2 and less than -2, so all of those values are included in the domain. Now, we just need to find out if the endpoints are included in the domain.

Included Values

We know that the domain includes all x-values greater than 2 and less than -2, but we need to know if the domain includes 2 and -2. On a graph, included values will be shown as a closed circle and non-included values will be shown as an open circle. By looking at the graph, we can tell that 2 is not included but -2 is. This means that the domain is x > 2 or x < -2 because the domain does not include x = 2.

Answer:

0.35 m

Step-by-step explanation:

1 m = 1000 cm

350 cm = ? m

We Take

350 / 1000 = 0.35 m

So, 350 cm = 0.35 m

The independent variable x represents the number of hours since the snow began to fall while the dependent variable is total amount of snow on Samir's lawn after x hours because the total amount of snow on Samir's lawn depends on the number of hours the snow fell.

The function M(6) refers to the amount of snow on Samir's Lawn after 6 hours

An independent variable is defined as the variable that causes a change.

However, a dependent variable is defined as the variable that occurs as a result or effect of a change.

The independent variable x represents the number of hours since the snow began to fall while the dependent variable is total amount of snow on Samir's lawn after x hours because the  total amount of snow on Samir's lawn depends on the number of hours the snow fell.

The function M(6) refers to the amount of snow on Samir's Lawn after 6 hours

Read more about Independent and Dependent Variables at: https://brainly.com/question/25223322

#SPJ1

Since -4 is less than or equal to -2, we use the first part of the definition of f(x) which is f(x) = x + 4 if x ≤ -2. Therefore,

f(-4) = (-4) + 4 = 0.

So, the answer is D. 0.

As a result, the vertex form of the f(x) equation is: [tex]f(x) = -(x - 5)^2 + 2[/tex]which is equivalent to choice (b).

A quadratic function is a sort of second-degree polynomial equation, meaning it has at least two squared element. A quadratic equation's generic form is: [tex]ax^2 + bx + c = 0[/tex] where the variable x and the constants a, b, and c. If the coefficient a were zero, the expression would be linear rather than quadratic. Several ways to solve a quadratic equation, including factoring, squaring the square, and utilising the quadratic formula. The negative numbers or roots of the quadratic equation are the values of x which it make the equation true and are the solutions to the quadratic equation.

given

The factored form of the quadratic function f(x), which has roots of 3 and 7, is as follows:

f(x) = a(x - 3)(x - 7) (x - 7) where "a" stands for a fixed coefficient.

We can utilise the point (1, 12) through which the function passes to determine the value of "a"

12 = a(1 - 3) (1 - 3)(1 - 7)

12 = -24a

a = -1/2

Inputting the value of "a" into the factored form yields the following results:

[tex]f(x) = -1/2(x - 3)(x - 7) (x - 7)[/tex]

By extending this phrase, we get:

[tex]f(x) = -1/2(x^2 - 10x + 21)[/tex]

We need to finish the square before we can transform this into vertex form. To achieve this, add and remove the square of the coefficient of x's half:

[tex]f(x) = -1/2(x^2 - 10x + 25 - 4)[/tex]

If we condense this phrase, we get:

[tex]f(x) = -1/2[(x - 5)^2 - 4][/tex]

As a result, the vertex form of the f(x) equation is: [tex]f(x) = -(x - 5)^2 + 2[/tex]which is equivalent to choice (b).

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

Answer:

Your answer should be 116°

The standard form equation of a circle whose diameter endpoints are  (-3,4) (2,1) is [tex](x - (-0.5))^2 + (y - 2.5)^2[/tex] = 6.5

The general form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius. This equation is derived using the Pythagorean theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. By setting (x - h)² and (y - k)² equal to r² and then combining the two equations, we get the standard form equation of a circle.

The center of the circle lies in the middle of the diameter, so we find the midpoint of the end points:

[tex](\frac{-3+2}{2} , \frac{4+1}{2} )[/tex] = (-0.5, 2.5)

And radius of the circle is half of the diameter, which is:

[tex]\frac{\sqrt{( 2-(-3))^2 + (1-4)^2 )}}{2}[/tex] = [tex]\frac{\sqrt{26}}{2}[/tex]

Therefore, the circle equation is:

[tex](x - (-0.5))^2 + (y - 2.5)^2[/tex] = [tex](\frac{\sqrt{26} }{2} )^2[/tex] = 26/4 = 6.5

[tex](x - (-0.5))^2 + (y - 2.5)^2[/tex] = 6.5

To know more about circle equation visit:

brainly.com/question/29288238

#SPJ1

The cost of a liter of milk is $2.50 and the cost of a loaf of bread is $2.50.

Cost is the value of goods or services measured in money or other forms of exchange. It is the amount that must be given up in exchange for something else. Costs are typically incurred in the production of goods and services, and can include both tangible and intangible elements, such as labor, materials, overhead, and financing.

The total cost for 3 liters of milk and 5 loaves of bread was $11. Therefore, the cost for 1 liter of milk was ($11 / 3) = $3.67. The cost for 1 loaf of bread was ($11 / 5)
= $2.20.
The total cost for 4 liters of milk and 4 loaves of bread was $10. Therefore, the cost for 1 liter of milk was ($10 / 4) = $2.50. The cost for 1 loaf of bread was ($10 / 4)
= $2.50.
Therefore, the cost of a liter of milk is $2.50 and the cost of a loaf of bread is $2.50.

To learn more about cost
https://brainly.com/question/2292799
#SPJ1

Answer:

We can estimate that 900 people in attendance would prefer mustard on a hot dog.

Step-by-step explanation:

What is proportion?

Proportion is a mathematical concept that refers to the relationship between two quantities, expressed as a ratio or a fraction. It represents the size of one quantity relative to another quantity, typically within a larger population or sample.

To determine the number of people who would prefer mustard on a hot dog, we need to use the proportion of people in the sample who prefer mustard and apply it to the total number of people in attendance.

The proportion of people in the sample who prefer mustard is:

27/150 = 0.18

To estimate the number of people who prefer mustard in the entire population of 5,000 attendees, we can multiply this proportion by the total number of attendees:

0.18 x 5,000 = 900

Therefore, we can estimate that 900 people in attendance would prefer mustard on a hot dog.

Answer:

2000 people prefer mustard on their hot dog.

900 people prefer chili on their hot dog

2100 people prefer ketchup on their hot dog

Step-by-step explanation:

hope this helps

The answer of the given question based on the expression is , the simplified expression for g(x+5) is 3x² + 30x + 73.

An expression is combination of numbers, variables, and operators (such as +, -, ×, ÷) that represents value or quantity. Expressions can be as simple as a single number or variable, or they can be complex with multiple terms and operations. Expressions can be evaluated or simplified by performing the indicated operations according to the rules of arithmetic and algebra.

To find g(x+5), we replace every occurrence of x in the expression for g(x) with x+5:

g(x+5) = 3(x+5)² + 2

Expanding the square and simplifying, we get:

g(x+5) = 3(x² + 10x + 25) + 2

g(x+5) = 3x² + 30x + 73

Therefore, the simplified expression for g(x+5) is 3x² + 30x + 73.

To know more about Variable visit:

https://brainly.com/question/2466865

#SPJ1

The missing data value in the project is 25.5.

Range is a statistical measure that represents the difference between the highest and lowest values in a dataset. It is calculated by subtracting the smallest value in the dataset from the largest value.

To find the missing data value, we need to use the given range and the known data values.

The range is the difference between the highest and lowest values in the data set. So, if we sort the given data values in increasing order, we have:

11, 15, 15, 22, 29, 31

The range is 33, which means that:

highest value - lowest value = 33

31 - 11 = 33

So, the missing data value must be between 22 and 29 (since those are the values that are next to each other in the sorted list). To find the exact value, we can take the average of 22 and 29:

(22 + 29) / 2 = 25.5

Therefore, the missing data value is 25.5.

To know more about range visit:

https://brainly.com/question/28135761

#SPJ1

Answer:

The third option:

Points: A, B, C, D

Line segments: AB, AD, AC, DC, BC

Therefore, the volume of the prism is 60 cubic feet.

Volume is the amount of space occupied by a three-dimensional object or the capacity of an object. It is typically measured in cubic units such as cubic meters, cubic feet, or cubic centimeters. The formula for finding the volume of a solid object depends on its shape. In general, the volume of a shape can be found by dividing it into smaller, more easily measured shapes and adding up their volumes. This is known as the method of integration in calculus, and it is used to find the volumes of irregularly shaped objects or fluids. Understanding the concept of volume is important in many fields, such as architecture, engineering, physics, and chemistry. In these fields, volume is used to determine the capacity of containers, the displacement of fluids, and the amount of materials needed for a construction project.

Here,

The volume of a prism is given by the formula:

V = Bh

where B is the area of the base and h is the height of the prism.

Substituting the given values:

V = (20 ft)(3 ft)

V = 60 cubic feet

To know more about volume,

https://brainly.com/question/28338582

#SPJ1

According to the information, the surface area of the solid is 758m² and the volume is 594m³

To find the surface area of the solid we have to perform the following procedure:

12m * 11m = 132m²

132m² * 2 = 264m²

16m * 9m = 144m²

144m² - 18m² = 126m²

126m² * 2 = 252m²

16m * 11m = 176m²

176m² - 66m² = 110m²

3m * 11m = 33m²

33m² * 2 = 66m²

6m * 11m = 66m²

264m² + 66m² + 66m² + 110m² +252m² = 758m²

To find the volume we have to perform the following procedure:

8m * 11m * 9m = 792m³

792m³ - 198m³ = 594m³

Learn more about surface area in: https://brainly.com/question/29298005

#SPJ1

If the sales amount doubles, the commission amount must also double.

The commission rate is 6%, which means that the salesperson earns 6 cents on every dollar of sales.

Therefore, for a sale of $44,000 worth of furnaces, the commission would be:

Commission = 0.06 * $44,000 = $2,640

If sales were to double, the commission would also double. This is because the commission is directly proportional to the amount of sales.

If the salesperson sells twice as many furnaces, they will earn twice the commission as they did before, assuming the commission rate remains the same.

This is true without using any calculations because the commission rate is a fixed percentage of the sales amount, regardless of the actual dollar value of the sales.

Read more about commission at

https://brainly.com/question/26283663

#SPJ1

Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.

We need to compare their volumes.

We can use the formula:

Density = mass / volume

To solve for volume, we rearrange the formula:

Volume = mass / density

For nickel:

Volume = 130g / 8.90 g/cm³ = 14.61 cm³

For magnesium:

Volume = 60g / 1.78 g/cm³ = 33.71 cm³

Therefore, Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.

Learn more about Density here : brainly.in/question/2786638

#SPJ1

Therefore, the system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made is.

[tex]0.1x + 0.2y = 70[/tex]

[tex]y = 3x[/tex]

Where x represents the number of liters of Drink B made, and y represents the number of liters of Drink A made.

Let's define the variables as follows:

Let x be the number of liters of Drink B produced.

Since the company produced 3 times as many liters of Drink A as liters of Drink B, let y be the number of liters of Drink A produced, so y = 3x.

Now, let's write the system of equations:

The total amount of real fruit juice used is 70 liters, so we can write:

[tex]0.1x + 0.2y = 70[/tex]

Substituting y = 3x into the above equation, we get:

[tex]0.1x + 0.2(3x) = 70[/tex]

Simplifying the equation:

[tex]0.1x + 0.6x = 70[/tex]

[tex]0.7x = 70[/tex]

[tex]x = 100[/tex]

So, the company made 100 liters of Drink B and 3 times as many liters of Drink A, or 300 liters of Drink A.

Therefore, the system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made is:

[tex]0.1x + 0.2y = 70[/tex]

[tex]y = 3x[/tex]

Where x represents the number of liters of Drink B made, and y represents the number of liters of Drink A made.

To know more about times visit:

https://brainly.com/question/28050940

#SPJ1

Sum of all probabilities for Leon's experiment and for Celia's experiment are 1.

The study of random events and their likelihood of occurring is the focus of the probability field, which is a subfield of statistics. It is used to predict and estimate the likelihood of future events.

Based on the problems 4, 5 and 6 as discuss in figure, we have to find out the sum of all the probabilities for Leon's experiment and for Celia's experiment.

The Results of problem 5 and problem 6 are shown in below figure.
So, The sum of all the probabilities for Leon's experiment and for Celia's experiment are;

Leon:   [tex]\frac{2}{20} + \frac{3}{20} + \frac{5}{20} +\frac{4}{20} +\frac{6}{20} = \frac{20}{20} =1[/tex]

Celia:   [tex]\frac{4}{24} + \frac{3}{24} + \frac{7}{24} +\frac{6}{24} +\frac{4}{24} = \frac{24}{24} =1[/tex]

Solution: Sum of all probabilities for Leon's experiment and for Celia's experiment are 1.

Possible explanation: It is certain that 1 of the 5 possible outcomes will result. The probability of any of the outcomes occurring is 1.

To know more about probability, visit:
https://brainly.com/question/13604758
#SPJ1

Full question -

The true statements are:

1. The radius of the circle is 3 units

2. The standard form of the equation is (x-1)^2+y^2=3

3. The center of the circle lies on X-axis

4. The radius of this circle is the same as the radius of the circle whose equation is x^2+y^2=9

The given equation is: x^2+y^2-2x-8=0

The equation in the standard form of the circle can be written as (x-h)^2+(y-k)^2=r^2, where h= center of the circle and r= radius of the circle

The given equation in standard form can be written as

(x^2-2x+1)+y^2-9=0

(x-1)^2+y^2=3^2

Hence from the above equation, the center of the circle is at (1,0) and the radius is 3 units.

To learn more about problems on the equation of a circle refer to:

https://brainly.com/question/23799314?referrer=searchResults