The number of students in a geometry class is four
fifths the number of students in a Spanish class.
The total number of students in both classes does
not exceed 54. What is the greatest possible
number of students in the Spanish class?

Answers

Answer 1

Answer:

Step-by-step explanation:

Givens

Let the number in the Spanish Class = x

Then the number in the Geometry Class = (4/5) x

Equation

x + (4/5)x < 54

Solution

x + (4/5)x < 54

4/5 = 0.8

x + 0.8x < 54

1.8x < 54                    Divide both sides by 1.8

1.8x / 1.8 < 54/1.8

x < 30

The sign used in the equation is less than, not less than or equal to.

The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.


Related Questions

Find the measure of the indicated side

Answers

Answer: X = 8

Step-by-step explanation:

Expansion (2x-3y+4z)^2

Answers

Answer:

Step-by-step explanation:

(a+b+c)²=a²+b²+c²+2ab+2bc+2ca

(2x-3y+4z)²=(2x)²+(-3y)²+(4z)²+2(2x)(-3y)+2(-3y)(4z)+2(4z)(2x)

=4x²+9y²+16z²-12xy-24yz+16zx

We know that,

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Now Putting 2x = a, -3y = b and 4z = c , we get

(2x - 3y + 4z)²

(2x)² + (- 3y)² + (4z)² + 2 × 2x × (- 3y) + 2 × (- 3y) × 4z + 2 × 4z × 2x

4x² + 9y² + 16z² - 12xy - 24yz + 16zx

Arranging according to the like terms, we get

4x² - 12xy + 16zx + 9y² - 24yz + 16z²

Which equations are true?
Choose All Answers That Apply (10 Points)

Answers

Answer:

B

Step-by-step explanation:

Two negatives is a positive, and you want your outcome to be a positive x, therefore b is the correct answer.

Answer:

second one

A negative multiplied by a negative is a positive.

- (-x) is multiplication.

If Wade has 2 times as many dimes as quarters and they have a combined value of 270 cents, how many of each coin does he have?

Answers

Answer:

Step-by-step explanation:

If he has twice the number of dimes as quarters, then obviously he has more dimes than quarters. The expression that represents that is

d = 2q

That relates the NUMBER of coins; now we need one that relates the VALUE which is a dollars and cents thing. We know that the combined value of the coins is $2.70. The expression that represents this is

.1d + .25q = 2.70 because dimes are worth .10 and quarters are worth .25

Subbing the first equation into the second gives us

.1(2q) + .25q = 2.70 and

.2q + .25q = 2.70 and

.45q = 2.70 so

q = 6

This means he has 6 quarters. If the umber of dimes is twice as much, then d = 2(6) and d = 12.

He has 6 quarters and 12 dimes

Find the difference of the polynomials given below and classify it in terms of degree and number of terms.

Answers

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Given:

3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)

Open parenthesis

= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3

Collect like terms

= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3

= 4n⁴ + 12n³ - 17n² - 3

Number 1 term is 4n²

Number 2 term is 12n³

Number 3 term is -17n³

Number 4 term is -3

The highest degree of the polynomial is 4th degree

Therefore,

The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is

4th degree polynomial with 4 terms

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Please help I will mark brainliest- I already know it’s not the last two- please help!

Answers

Answer:

Traversable because it has exactly two odd nodes

Step-by-step explanation:

There is a rule that says it is traversable if it has exactly 2 odd nodes. The are other rule where it can be traversable is if has no odd nodes.

Also if we let the starting point be D and the ending point be B we can travel the network in such way that each edge is only traveled once which is the definition that the network is traversable.

So I will do this by starting at D, then travel to A using the outside edge, then travel to back to D using inside edge, then travel to C, then travel to B, then travel to A using outside edge, and then back to B from A using inside edge.

A jug holds 10 pints of milk. If each child gets one cup of milk, it can serve children. (Hint: 1 cup = 8 fluid ounces and 1 pint = 16 fluid ounces.)

Answers

Answer:

20 children

Step-by-step explanation:

We can see that 1 pint is equal to 2 cups. Since the jug holds 10 pints of milk, we can convert that to cups by multiplying by 2. We realize that the jug holds 20 pints of milk.

Since each child needs one cup of milk to be satisfied, we can state that the jug can satisfy 20 children.

Answer:

20 childrenyjvvvvggguggggyg

solve |6x+3| = 27 .....

Answers

Answer:

Step-by-step explanation:

The absolute value of a number is defined as the positive of either a positive or a negative number. By that I mean that

| 1 | = 1 and | -1 | = 1.  Right?

We use that idea here. Either:

6x + 3 = 27     OR      6x + 3 = -27 and solve both equations.

6x = 24 so x = 4 OR

6x = -30 so x = -5

Choice D is the one you want.

The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo. If 21 more animals are added, how many total keepers are needed to maintain the ratio of keepers to animals?

City Zoo
Number of Keepers Number of Animals
12 42

Answers

Answer:

18

Step-by-step explanation:

42+12= 63

63/7=9

9*2=18

Answer:

18

Step-by-step explanation:

plato/edmentum

Can someone please help me with this?

Answers

Answer:

p = 1.2

Step-by-step explanation:

Bring 3.9 to the other side of the equation.

-10.9p = -13.08

p = 1.2

Answer is p =1.2 I may be wrong tho

3 + 5 . (-3)=
5 . ( - 6 + 2 ) - 4=
- 5 + 8 . 2 + 1=
4/6 + 13/6 - 5/6=
2 . 8 - 5 . (3 - 4)=
7/3 . 5/2=

Answers

Step-by-step explanation:

PEMDAS rule

3 -15 = -12

-20 - 4 = -24

-5 + 16 + 1 = 12

= 12/6 which = 2

15 + 5 = 20

35/6 = 5 5/6

Lim x->-5(((1)/(5)+(1)/(x))/(10+2x))=

correct answer 1/10x = -1/50

explain:

Answers

Given:

The limit problem is:

[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]

To find:

The value of the given limit problem.

Solution:

We have,

[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]

It can be written as:

[tex]=lim_{x\to -5}\dfrac{\dfrac{x+5}{5x}}{2(5+x)}[/tex]

[tex]=lim_{x\to -5}\dfrac{x+5}{5x}\times \dfrac{1}{2(5+x)}[/tex]

[tex]=lim_{x\to -5}\dfrac{1}{5x\times 2}[/tex]

[tex]=lim_{x\to -5}\dfrac{1}{10x}[/tex]

Applying limit, we get

[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{10(-5)}[/tex]

[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{-50}[/tex]

Therefore, the value of given limit problem is [tex]-\dfrac{1}{50}[/tex].

can someone help me with this?​

Answers

Answer:

-64 is the 26th number

it's an arithmetic sequence because the difference between the number is constant : -3

they are all -3 in difference

Step-by-step explanation:

an = a1 + (n-1)d

an = the nᵗʰ term in the sequence

a1=the first term in the sequence

d=the common difference between terms

-64 = 11 + (n - 1)-3

-64=11 -3n+3

-78 = -3n

n = 26

W=VI. Make V the subject of formula​

Answers

Answer:

hope that is helpful

Step-by-step explanation:

W= VI

W= VI

I. I

V= W

I

Answer:

V = [tex]\frac{W}{I}[/tex]

Step-by-step explanation:

Given

W = VI ( isolate V by dividing both sides by I )

[tex]\frac{W}{I}[/tex] = V

Jacob and sumalee each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store. Jacob spent $107 on 11 daylilies and 4 geraniums. Sumalee spent $60 on 4 daylilies and 12 geraniums. Find the cost of one daylilies and the cost of one geranium.

Answers

Answer:

Daylily: $9

Geranium: $2

Step-by-step explanation:

1 daylily costs x.

1 geranium costs y.

11x + 4y = 107

4x + 12y = 60

Multiply the first equation by 3 and subtract the second equation from it.

29x = 261

x = 9

4x + 12y = 60

4(9) + 12y = 60

12y = 24

y = 2

Answer:

Daylily: $9

Geranium: $2

Answer:

1) Set up a system of equations. Assign each plant a variable. I used X for Daylillies and Y for Geraniums. In this case:

11x + 4y = 107

4x + 12y = 60

2) Get one variable by itsef. You can choose to either get the X or the Y by itself. For the sake of ease, I'll go with achieving X.

3) Using the equation 4x + 12y = 60, isolate the 4x.

4x = -12y + 60

4) Divide both sides by 4.

x = -3y + 15

5) X is isolated. Now plug in that isolated X into another remaining equation in order to isolate Y. Don't forget to combine like terms.

11(-3y + 15) + 4y = 107

-33y + 165 + 4y = 107

-29y + 165 = 107

-29y = -58

y = 2

6) You have your Y, which means that each Geranium costs $2 each. Now, you need to find X. Plug in Y into any of the first two equations that we started with.

4x + 12(2) = 60

4x + 24 = 60

4x = 36

x = 9

7) You now have both X and Y. Daylillies cost $9 each, and Geraniums cost $2 each.

8) You can double-check your answers by plugging in your final X and Y values into any of the first equations you wrote. If it comes out equal, it works.

Which translation vectors could have been used for the pair of
figures?
Select each correct answer.

Answers

left top and left bottom

find the volume of the rectangular prism. plz answer this lol

Answers

Answer:

.....how when the dimensions are not even clear lol

Answer:

48 cm³

Step-by-step explanation:

the volume of a rectangular prism= length × breadth × height

= 8× 3 × 2

= 48 cm³

pls help- the question kept cutting off before:
If cos(πr) = 2 cos(πr) and 0 < r < 3, what is one possible value of r?

Answers

Answer:

r can be 0.5

Step-by-step explanation:

Here, we want to get a possible value of r

From the question, the value of r is between 0 and 3

Mathematically, we know that in degrees pi is the same as 180 degrees

In a case where we have r = 1/2

we have it that;

cos(pi/2) = 2 cos (pi/2)

Since pi/2 is 90 and cos 90 is zero; then we have it that the two sides of the equation is the same and r can be 1/2

The path of a projectile launched from a 20-ft-tall tower is modeled by the equation y = -5x2 + 40x + 20. What is the maximum height, in meters
reached by the projectile?

Answers

Answer:

30.49 m

Step-by-step explanation:

To obtain the maximum height, we solve for the value x when dy/dx = 0.

Since, y = -5x² + 40x + 20

dy/dx = d[-5x² + 40x + 20]/dx

dy/dx = -10x + 40

Since dy/dx = 0,

-10x + 40 = 0

-10x = -40

x = -40/-10

x = 4

Substituting x = 4 into the equation for y, we have

y = -5x² + 40x + 20

y = -5(4)² + 40(4) + 20

y = -5(16) + 160 + 20

y = -80 + 160 + 20

y = 80 + 20

y = 100 ft

Since y is in feet, we convert to meters.

Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m

So, the maximum height, in meters  reached by the projectile is 30.49 m

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked it's taste.

Answers

Answer:

yes

Step-by-step explanation:

Here is the complete question :

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie. Is it an example of descriptive statistics?

Descriptive statistics are used to summarise the features or characteristics of a data or sample. It provides information on the features of sample collected.

Types of  descriptive statistics

1. Measures of central tendency :

They include mean, median and mode

Mode refers to a value that appears most frequently in a data set.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

2. Measures of variation : It includes range, standard deviation and variance

3. Measure of position ; percentile and quartiles

4. Measure of frequency : count, percentage

Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .

Answers

Answer:

height of the tree ≈ 8.42 m

Step-by-step explanation:

The diagram given represents that of two similar triangles. Therefore, the corresponding lengths of the similar triangles are proportional to each other.

height of tree = h

Therefore:

1.45/h = (31.65 - 26.2)/31.65

1.45/h = 5.45/31.65

Cross multiply

h*5.45 = 1.45*31.65

h*5.45 = 45.8925

h = 45.8925/5.45

h ≈ 8.42 m (nearest hundredth)

What is the solution to the equation below?

√2x/√x-1=2

A. 4 B. 2 C. 5 D.3

Answers

Given:

The given equation is:

[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]

To find:

The solution for the given equation.

Solution:

We have,

[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]

On simplification, we get

[tex]\sqrt{2x}=2\sqrt{x-1}[/tex]

Squaring both sides, we get

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

[tex]2x=4x-4[/tex]

[tex]2x-4x=-4[/tex]

[tex]-2x=-4[/tex]

Divide both sides by -2.

[tex]x=\dfrac{-4}{-2}[/tex]

[tex]x=2[/tex]

Therefore, the correct option is B.

A bag contains 13 blue marbles, 12 red marbles, 6 yellow marbles, and 8 green marbles. What is
the probability of picking a red marble, putting that one back and then picking another red
marble?
4. Assume you have the same bag of marbles as the previous question. What is the probability of
selecting a yellow marble, then another yellow marble, then a red marble, and finally another
yellow marble, without replacing in between?

Answers

Answer:

12 in 29. uou add all the number together then and it is 12 red marbles in 29 chancesso you take one marble out and put the exact marble back in having no effect.

Jahlil is 6 inches shorter than 4 times his sister’s height. Jahlil’s height is 70 inches.

Answers

Answer:

x = his sister's height = 19 inches

Step-by-step explanation:

Let

x = his sister's height

Jahlil's height is given by the equation:

4x - 6 = 70

4x = 70 + 6

4x = 76

x = 76/4

x = 19 inches

x = his sister's height = 19 inches

Check:

4x - 6 = 70

4(19) - 6 = 70

76 - 6 = 70

70 = 70

Please help me asap!​

Answers

Answer:

Its 48

Step-by-step explanation:

subtract 69 and 56 from 173, what you have left is your answer

48

Step-by-step explanation:

total 176 subtract 69 and 58 since they are given.

176 - 69 -56 = 48

if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is .....a.2 b.-2 c 1/2 d.none ​

Answers

Answer:

k=2

Problem:

if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..

Step-by-step explanation:

Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.

So we want the following:

[(k+2)/2]^2=2k

Apply the power on the left:

(k+2)^2/4=2k

Multiply both sides by 4:

(k+2)^2=8k

Expand left side:

k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2

Subtract 8k on both sides:

k^2-4k+4=0

Factor using the identity mentioned a couple lines above:

(k-2)^2=0

Since zero squared is zero, we want k-2=0.

Adding both sides by 2 gives k=2.

Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of the prism, BA is the area of bases, and LA is the lateral area? Check all that apply.
A. SA = BA - LA
B. SA = p + LA
C. SA = BA + LA
D. SA = BA + ph
E. SA = 1 / BA + LA​

Answers

Answer:

SA=BA+LA and SA=BA+ph

Step-by-step explanation:

I just looked it up

The correct formulas to find the surface area of a right prism are:

SA = BA + LA and SA = BA + ph.

Options (A), and (D) are the correct answer.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The correct formulas to find the surface area of a right prism are:

1)

SA = BA + LA, where SA is the total surface area, BA is the area of the two identical bases, and LA is the lateral area (the sum of the areas of all the rectangular sides).

2)

SA = BA + ph, where SA is the total surface area, B is the area of one base, p is the perimeter of the base, h is the height of the prism, and ph is the area of all the rectangular sides (the lateral area).

Therefore,

The correct formulas to find the surface area of a right prism are:

SA = BA + LA and SA = BA + ph.

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ7

In ΔOPQ, the measure of ∠Q=90°, OQ = 39, QP = 80, and PO = 89. What ratio represents the cosine of ∠P?

Answers

Answer:

The cosine of angle P = opposite / adjacent = 39 / 80

Step-by-step explanation:

help i’m so confused

Answers

Answer:

-27/7

Step-by-step explanation:

put x into the equation

You sunk my battleship...The hms petticoat and uss junction are being monitored on a tracking screen where each ship is measured in millimeters from the lower left corner. The linear path of the hms petticoat is given by y=2x+50. If x=3t, express y as a function of t minutes

Answers

Answer:

y = f(t) = 6t + 50

Step-by-step explanation:

Given:

y = 2x + 50

Where,

x = 3t

Substitute x = 3t into the equation

y = 2x + 50

y = 2(3t) + 50

Open parenthesis

y = 6t + 50

y = f(t) = 6t + 50

Other Questions
MyProgramming LabIt needs to be as simple as possible. Each question is slightly different.1. An arithmetic progression is a sequence of numbers in which the distance (or difference) between any two successive numbers is the same. This in the sequence 1, 3, 5, 7, ..., the distance is 2 while in the sequence 6, 12, 18, 24, ..., the distance is 6.Given the positive integer distance and the non-negative integer n, create a list consisting of the arithmetic progression between (and including) 1 and n with a distance of distance. For example, if distance is 2 and n is 8, the list would be [1, 3, 5, 7].Associate the list with the variable arith_prog.2.An arithmetic progression is a sequence of numbers in which the distance (or difference) between any two successive numbers if the same. This in the sequence 1, 3, 5, 7, ..., the distance is 2 while in the sequence 6, 12, 18, 24, ..., the distance is 6.Given the positive integer distance and the integers m and n, create a list consisting of the arithmetic progression between (and including) m and n with a distance of distance (if m > n, the list should be empty.) For example, if distance is 2, m is 5, and n is 12, the list would be [5, 7, 9, 11].Associate the list with the variable arith_prog.3.A geometric progression is a sequence of numbers in which each value (after the first) is obtained by multiplying the previous value in the sequence by a fixed value called the common ratio. For example the sequence 3, 12, 48, 192, ... is a geometric progression in which the common ratio is 4.Given the positive integer ratio greater than 1, and the non-negative integer n, create a list consisting of the geometric progression of numbers between (and including) 1 and n with a common ratio of ratio. For example, if ratio is 2 and n is 8, the list would be [1, 2, 4, 8].Associate the list with the variable geom_prog. While preparing for her examination, Jenny has been reading late into the night. What is one precaution that she can take to prevent damage to her eyes? 2x+2y=38 y=x+3 solve by the solution What is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes What did the 15 European countries who met at the Berlin Conference in 1884determine? ________ was one of the first Asian theatre artists to influence the development of western theatre. (c) Construct a 99% confidence interval for u if the samplesize, n, is 35. plz plz help me asapplzi will give more points and brainliest Write a partial class that shows a class constant and an instance method. Write an instance method that converts feet to inches using a class constant representing the number of inches in one foot. The value passed to the method represents the distance in feet. Need help please.... The sum of the digits in a 2 digit number is 5. If the number is subtracted by 9 then the digits will be reversed. Find the number. If the tens digit is x then what is the equation? What is the rate of the entropy change of the universe as heat leaks out a window, consisting of a single pane of glass that is 0.5 cm thick and 1.0 m2 in area, where the indoor temperature is 25C and the outdoor temperature is -10C? 3/4 - 5/8 can someone plz tell answer The tilt of the Earth's causes the changes in______.A. WeatherB. SeasonC. LatitudeD. Longhitude How do I find the m and b from number 1 and what would the area be for 2 Show how you arrived at your answers.Kenzie says that x? + 25 can be factored into (x + 5). Ariana says thatit cannot. Who is correct? Explain your answer. Although midlatitude cyclones and tropical cyclones are both rotating weather systems, they are different in many ways. Label each of the following characteristics according to which type of system it is associated with.a. No fronts associated with storm b. A warm-core of low pressure c. Isobars are more course and less circular d. Smaller in area e. Storm weakens with height f. A cold core g. Storm intensifies with height The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____. a. becomes negative b. remains unchanged c. will increase d. will decrease I need some help please! Why is it that although Nocardia spp. grow well on most common nonselective laboratory media, many are missed when the cultures are read