Leila spent a total of $45 at the grocery store. Of this amount, she spent $27 on fruit. What percentage of the total did she spend on fruit?

Answer: 2

Step-by-step explanation:

GCF is the most significant common factor of a group of numbers! In this case, 2 is the GCF!

The value of the algebraic expression 11.1p + 10.5r  at p = 6 and r = 7 is 140.1

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.1p + 10.5r

We have to find the value of the algebraic expression at p = 6 and r = 7

Putting x = 6 and y = 7 in the algebraic expression,

[tex]11.1 \times 6 + 10.5 \times 7[/tex]

66.6 + 73.5

140.1

To learn more about algebraic expression, refer to the link-

brainly.com/question/2164351

#SPJ1

Max() is a method.

max() is a static method of Math , we always use it as Math.max() , rather than as a method of a Math object you created.

Static Method

A static method  is a method defined as a member of an object but is accessible directly from an API object's constructor, rather than from an object instance created via the constructor.

Sometimes a method performs a task that does not depend on the data of any object . Such a method applies to the class in which it's declared as a whole and is known as a static method.

Learn more about static method here :-

https://brainly.com/question/13098297

#SPJ4

By using the concept of probability, it can be calculated that

Probability that a flood of the same size will occur in the following year = [tex]\frac{1}{50}[/tex]

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

50-year flood occurs on the mississippi river in a given year

Probability that a flood of the same size will occur in the following year =  [tex]\frac{1}{50}[/tex]

To learn more about probability, refer to the link-

https://brainly.com/question/25870256

#SPJ4

Answer:

Step-by-step explanation:

IKRRRRRRRRRR

Math is hard because it can take alot of processes to solve problems.  Theres alot of unique stuff, so it takes alot more practice than other subjects.  To get better at math, you gotta practice.

The y-intercept of any linear equation is the point where the line crosses the y-axis. The y-intercept of 7x 4y 8 is (0, -2).

We can find the y-intercept of 7x 4y 8 by setting x = 0 and solving for y.

7x 4y 8 = 0

4y = -8

y = -2

The y-intercept is (0, -2).

The y-intercept of any linear equation is the point where the line crosses the y-axis. We can find the y-intercept of 7x 4y 8 by setting x = 0 and solving for y. This gives us 4y = -8, which can be rearranged to y = -2. This means that the y-intercept of 7x 4y 8 is (0, -2).

Learn more about y intercept here

https://brainly.com/question/14180189

#SPJ4

Answer:

2000

Step-by-step explanation:

90 = 4.5% of x

90 = 0.045x

x = 90/0.045

x = 2000

Answer: 2000

The solution set is n ≥ 4.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other.

We have the inequality,

4n -1  ≥ 15

To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

4n - 1 +1  ≥ 15 +1

4n ≥ 16

n ≥ 4.

And N = 3, inequality does not hold.

Therefore, The solution set is n ≥ 4.

To learn more about the inequality in mathematics;

brainly.com/question/28823603

#SPJ1

4(5x-2) = 2(9x + 3)

distribute

20x-8 = 18x + 6

add 8 to both sides

20x = 18x + 14

subtract 18 x

2x = 14

divide by 2

x = 7

verify if true

4(5*7 - 2) = 2(9*7+3)

132 = 132

x does = 7

hope this helps

jeron

Answer:

[tex] \sf \: x = 7[/tex]

Step-by-step explanation:

Given equation,

→ 4(5x - 2) = 2(9x + 3)

Now the value of x will be,

→ 4(5x - 2) = 2(9x + 3)

→ 20x - 8 = 18x + 6

→ 20x - 18x = 6 + 8

→ 2x = 14

→ x = 14/2

→ [ x = 7 ]

Hence, the value of x is 7.

Answer:

Step-by-step explanation:

a:5

b:8

d:20

E:20

Answer:

The coordinate plane

Step-by-step explanation:

Graph the line [tex]y=-x+10[/tex] with a dotted boundary and shade the region above the line.

Answer:

28

Step-by-step explanation:

Since 42 tomatoes were picked, we can take the reciprocal (the reversed fraction) of the 9:6 ratio and make it 6:9, then multiply 42 by 6/9.

True, When the demand is greater than the capacity, impossible situations can arise.

Demand is outlined as the quantity of a good that buyers are willing and able to purchase at a specific price. This is an if...then statement, thus if the price is $1,000, the quantity demanded is 60, and so on. Therefore, it is a function with the form y = f(x), where x now represents price and y represents quantity.

A linear demand equation is defined as Q = a - bP in standard form. In other words, pricing influences the quantity demanded. The price equation, often known as the inverse demand equation or price equation, treats the price as a function f of the amount demanded: P = f. (Q). Simply solve for P from the demand equation to obtain the inverse demand equation.

So, the answer is true that when the demand is greater than the capacity, impossible situations can arise.

To know more about demand, visit:

https://brainly.com/question/29089918

#SPJ4

Answer: 29 divided by 5123 is 0.005

I hope this helps :) (if not correct ask another person)

Answer: 227/ 60 = 3 47/60 OR 3.783

Note: If you don't get the right answer because of the extra 3 in 3.783 then simply remove the extra 3 at the end.

Explanation:

Step 1: Multiply the whole number 2 by the denominator 6. Whole number 2 equally.

Step 2: Add the answer from the previous step 12 to the numerator 5. New numerator is 12 + 5 = 17

Step 3: Write a previous answer (new numerator 17) over the denominator 6

Message: If you found this helpful let me know by giving a thanks! :)

The number of students which received a result of less than 60 is 42 if  the result of a fictional stat 100 final exam taken by 120 students, as given in the following relative frequency distribution.

Given:

we have grade and cumulative frequency table.

The acquired data are arranged in tables using the frequency distribution method. The information may include test scores, local weather information, volleyball match results, student grades, and so forth. To facilitate understanding, data must be presented meaningfully after collection. Set up the data so that a table contains a summary of all of its characteristics. Frequency distribution is what we call this.

we are asked to find the number of students which received a result of less than 60 = ?

The frequency for the grade less than 60 is:

60 : 15%+20%

= 35%

now calculate the percentage:

35% × 120

35/100 × 120

= 7×6

= 42

Hence 42 students received less than 60.

Learn more about frequency distribution here:

brainly.com/question/27820465

#SPJ4

Answer: $88

x/55 is the same as 60%/1005 so 55 x 60 / 100 = 33 which is the mark up then add 55 and 33 to get the total price

Answer:

Price of shoes after markup is $88

Step-by-step explanation:

$55 + %60 markup or

55 x .60 = $33

55 + $33= $88

The 100 feet per second rate at which rocket is rising vertically upwards and the 50 feet distance of the observation position from the launch, indicates;

A) The height of the rocket after exactly 2 seconds is 200 feet

B) The rate of the angular motion at which to scan upwards to keep track of the rocket is 2/17 radians per second

Angular motion is a circular motion of an object about a fixed axis, described in radians per second.

The rate at which the rocket is rising up in the air = 100 feet per second

The horizontal distance from the point of launch to the observer = 50 feet

The time at which the height of the rocket is required = 2 seconds

A) The height of the rocket after 2 seconds, h = 2 s × 100 ft/s = 200 ft

B) The angle of elevation of the line of sight to the rocket = θ

tan(θ) = h/50

sec²(θ)·(dθ/dt) = (1/50)·(dh/dt)

(dθ/dt) = (1/50) × (dh/dt)/sec²(θ)  = (1/50)×(dh/dt)×(cos²(θ))

At time, t = 2 seconds, the height of the rocket = 200 feet

Therefore;

tan(θ) = 200/50 = 4

θ = arctan(4)

dh/dt = The vertical velocity of the rocket = 100 ft/s

(dθ/dt) = (1/50)× 100 ×(cos²(arctan(4))) = 2/17

The rate at which the eyes is scanning upwards is 2/17 radians per second

Learn more about the rate of change of a function here:

https://brainly.com/question/29431817

#SPJ1

The volume of the cuboid is given as length x breadth x height thus, the breadth of the given cuboid will be 17 cm.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the cuboid = length × breadth × width

19 x breadth x 16 = 5168

Breadth = 17 cm

Hence "The breadth of the cuboid will be 17 cm since the volume of the cuboid is given as length x breadth x height.".

To learn more about volume,

https://brainly.com/question/1578538

#SPJ1

Answer:

imaginary number

Step-by-step explanation:

i means imaginary in math

The congruence theorem that will prove △BDA and △DBC is A. Hypotenuse-leg (HL) congruence.

Determining the right congruence theorem that will prove △BDA and △DBC after being provided a schematic of two right triangles.

Since we are aware that the hypotenuse-leg theorem stipulates that if the hypotenuse and one of the right triangles' legs are congruent with their equivalent hypotenuses in other right triangles, the triangles are said to be congruent.

We can see from our diagram that hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.  

We can see that triangles BDA and DBC share a common side DB.

Using Pythagorean theorem we will get

CD² = DB²+BC²

AB = DB²+AD²

given that CD=AB, Upon using this information we will get,

DB²+BC² = DB²+AD²

subtracting DB² from both sides of our equation we will get,

BC² = AD²

Cutting squares on both sides

BC = AD

Hence, by HL congruence △BDA ≅ △DBC.

Note that the full question is:

Which congruence theorem can be used to prove △BDA ≅ △DBC?

A. HL

B. SAS

C. AAS

D. SSS

To learn more about Hypotenuse-leg congruence: https://brainly.com/question/29615095

#SPJ4

Examples of numbers that are rational number but not natural

-4, -5, 4/5, 0.89, 0.

Rational Numbers:

A type of real number known as a rational number is represented by the formula p/q, where q is not equal to zero. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other such numbers are a few examples of rational numbers. The number "0" is also a rational number because there are many ways to represent it, including 0/1, 0/2, 0/3, etc. However, since they give us infinite values, 1/0, 2/0, 3/0, etc. are illogical. Check the irrational numbers here as well and contrast them with the rational ones.

Natural Number:

All positive integers from 1 to infinity are included in the number system, which also includes natural numbers, which are also used for counting. There is no zero included (0). In fact, counting numbers are 1, 2, 3, 5, 6, 7, 8, 9, etc.

Real numbers, which only include the positive integers 1, 2, 3, 4,5, and 6, are made up of natural numbers. Negative numbers, fractions, decimals, and zero are not included.

Notably, zero and negative numbers are not considered to be natural numbers.

Few examples of numbers that are rational number but not natural

-4, -5, 4/5, 0.89, 0.

To know more about numbers here.

https://brainly.com/question/17429689

#SPJ4

The value of their vertical distance at a horizontal distance of 6 feet is 2 feet

From the question, we have the following parameters that can be used in our computation:

The equation of the function: y = -1/3x + 4

The above equation is a linear function

A linear function is represented as

y = mx + c

Where

slope = m and y-intercept = c

From the question, we have

x-axis = ground distance

y-axis = one of the poles

When the horizontal change is 6 feet, it means that

x = 6

So, we have

y = -1/3 x 6 + 4

Evaluate the products

y = -2 + 4

Evaluate the sum

y = 2

Hence, the vertical distance is 2 feet

Read more about linear equation at

https://brainly.com/question/4074386

#SPJ1

There is a inverse relationship between the size of the distance between two light sources and the locations of maxima y n.

We can relate the distance between the two light sources d and location of maxima y n by a formula:

d = nλL y n

here nλL = constant then d = constant

y n d ∝ 1 y n

As they have inverse relation.

So the if we increase the distance between the two source lights then the location of the maxima will decrease.

An inverse relationship is one in which the value of one parameter tends to decrease as the value of the other parameter in the relationship increases. It is often described as a negative relationship.

An association between two variables such that they rise and fall in value together is known as Direct relationship.

To know more about maxima here

https://brainly.com/question/28327519

#SPJ4

The absolute bottom is 8 feet below ocean level, and the most noteworthy point is 107 feet above ocean level. Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

In a specific country, the levels, and profundities of a street are estimated comparable to the ocean level. The ocean level has a worth of 0. The absolute bottom of the nation lies at −8 feet. The most elevated mark of the nation lies at +107 feet.

The absolute bottom is 8 feet below ocean level, and the most noteworthy point is 107 feet above ocean level. Then the correct option is B.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

The missing option is given below.

A) The lowest point is 8 feet above sea level, and the highest point is 107 feet below sea level.

B) The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.

C) The lowest point is 8 feet below sea level, and the highest point is 107 feet above the lowest point.

D) The lowest point is 8 feet above sea level, and the highest point is 107 feet below the lowest point.

Check whether a polynomial function is an odd-degree or even-degree function, as well as whether the leading coefficient is positive or negative, before attempting to determine its end behavior.

Given,

The polynomial end behavior;-

The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f. In other words, if we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ), the end behavior of a function represents the trend of the graph.

Here,

Look at the polynomial function's leading term to identify its end behavior. The leading term will dominate the graph since it has the largest power and will thus increase much more quickly than the other terms as x gets very large or very small.

That is,

Check the function's odd- or even-degree status and the leading coefficient's positive or negative value before attempting to forecast the polynomial function's end behavior.

Learn more about polynomial end behavior here;

https://brainly.com/question/25768616

#SPJ4

Answer:

4

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

The cost of constructing the box will be = $81.77

Since the question gives us information about the rectangle,

so the area of the rectangle is shown by,

Area = 2 x (length + width)

So we have the area as,

Area = 2(lh + wh) +lw

(since the area per square meter is also given so we added l x w)

Since the cost of the base is = $5 per square meter and the cost of the sides is = $3 per square meter, so area in terms of the cost function,

⇒ C = 3 x 2(lh + wh) + 5 x l x w

⇒ C = 6(lh + wh) +5lw ---------equation 1

According to the question, the length of the rectangular container is twice that of the width of the container,

⇒ l = 2w

Substituting the new value of l in equation 1,

⇒ C = 6(2wh + wh) + 10 [tex]w^{2}[/tex]

⇒ C = 18wh + 10 [tex]w^{2}[/tex] ---------- equation 2

To calculate the volume of the rectangle,

V = length x width x height ( lwh )

substituting v = 10 and 2w = l,

2[tex]w^{2}[/tex]h = 10

h = [tex]\frac{5}{w^{2} }[/tex]

Substitute the value of h in equation 2,

⇒ C = 18w x [tex]\frac{5}{w^{2} }[/tex] + 10[tex]w^{2}[/tex]

⇒ C = [tex]\frac{90}{w}[/tex] + 10[tex]w^{2}[/tex] --------- equation 3

Differentiating the above equation we get,

⇒ C* = - [tex]\frac{90}{w^{2} }[/tex] + 20w

⇒ 20w = [tex]\frac{90}{w^{2} }[/tex]

Multiply both sides by [tex]w^{3}[/tex]

⇒ [tex]20w^{3}[/tex] = 90

⇒ [tex]w^{3}[/tex] = 4.5

w = 1.65

Put the value of w in equation 3,

⇒ C = [tex]\frac{90}{1.65}[/tex] + 10 x [tex]1.65^{2}[/tex]

⇒ C = 81.77

Therefore, The cost of constructing the box will be = $81.77

To know more about volumes,

https://brainly.com/question/22529898

#SPJ4