The teacher separated her class of twenty-eight student into two group. one group has 4 more than twice as many students as the other group. how many students are in each group?

Answers

Answer 1

You can use a system of equations.
x=group 1
y=group 2

x+y=28
2x+4=y

Isolate the variable in equation 1.

y=-x+28

Substitute it into equation 2.
-x+28=2x+4

Solve.
-3x=-24
x=8

Substitute it into one of the equations for y.
-x+28=y
-8+28=y
y=20

There are 8 students in one group and 20 students in the other.

Hope this helps!

Answer 2

x+y=28
x=28-y

x=4+2y
28-y=4+2y
28-4=2y+y
24=3y
24/3=y
y=8
x+y=28
x+(8)=28
x=28-8
x=20
(20)=4+2(8)
20=4+16
20=20
one group=20, other group=8

Related Questions

Are there any rational numbers between 0.4 repeat and 4/9

Answers

0.4(repeating) and 4/9 are the same number....so, no, there is no rational numbers between them....there is no numbers between them.

how would you find the area and Perimeter of this shape?

Answers

Perimeter: 10 + 4 + 7.5
P = 21.5
Area: 4 x 10
A = 40

what is 2/3, 66%, and 0.67 from greatest to least

Answers

66%, then 2/3, and lastly 0.67. 2/3 is repeating so it is more then 66% but less than 0.67

answer:
0.67, 2/3, 66%
work:
change all to decimals.
0.666666666667, 0.66 and 0.67.
-order from greatest to least
0.67, 0.66666666667, 0.66
-convert back
0.67, 2/3, 66%
Hope this helps, have a great day! :D

A pet shop manager wants the same number of birds in each cage. He wants to use as few as cages as possible , but can only have one type of bird in each cage. If he has 42 parakeets and 18 canaries , how many birds will he put in each cage?

Answers

He would use 3 cages for the canaries (6 in each) and 6 cages for the parakeets (7 in each)

Answer: There are 7 parakeets and 3 canaries in each cage.

Step-by-step explanation:

Since we have given that

Number of parakeets = 42

Number of canaries = 18

According to question, he wants to use as few as cages as possible , but can only have one type of bird in each cage.

So, H.C.F. of 42 and 18 = 6

So, Number of cages would be 6.

Number of parakeets would be

[tex]\dfrac{42}{6}=7[/tex]

Number of canaries would be

[tex]\dfrac{18}{6}=3[/tex]

Hence, there are 7 parakeets and 3 canaries in each cage.

Is 25 a perfect cube?

Answers

no,it is a perfect square

no it's not a perfect cube

in geotown, there are 210 own a tablet. This is at least 4/5 of all teenagers that live in geotown. What is the maximum number of teenagers who live geo town

Answers

210 = 4/5 (This means that 4 out of five people (210 people) are a teenager)

Then you divide 210 by the numerator to get 1/5 people:
210 / 4 = 52.5

Then you can multiply the 1/5 people (52.5) by 5 to get 5/5:
52.5 * 5 = 262.5 (rounded to 262)

Thus the maximum amount of teenagers in Geotown is 262.

Hope this helps! :)

Final answer:

The maximum number of teenagers who live in Geotown can be found by solving an equation using the given information that 210 teenagers own a tablet, which is at least 4/5 of all teenagers in Geotown.

Explanation:

We are given that 210 teenagers own a tablet, and this number is at least 4/5 of all teenagers in Geotown. Let's represent the total number of teenagers in Geotown as 'x'. According to the given information, 4/5 of x is equal to 210. We can set up the equation (4/5)x = 210 and solve for x.

To solve for x, we can multiply both sides of the equation by the reciprocal of 4/5, which is 5/4. This gives us x = (5/4) × 210 = 262.5. However, since the number of teenagers must be a whole number, we round down to the nearest whole number and conclude that the maximum number of teenagers who live in Geotown is 262.

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Two youth groups participated in a three-week recycling project. Group A collected 15.49 pounds during week 1, 20.82 lb during week 2, and 22.91 pounds during week 3. Group B collected three times as much as Group A. Enter the total amount that Group B collected.

Answers

3(15.49 + 20.82 + 22.91)
3(59.22) =
177.66 <=== what group collected

The total amount that Group B collected 177.66 pounds.

Given that, group A collected 15.49 pounds during week 1, 20.82 lb during week 2, and 22.91 pounds during week 3.

How to add the decimals?

To add two decimal numbers, first check if they have the same number of digits to the right of the decimal point. If they don't, add zeros to the right of one of the numbers until they do. Then, write one number on top of the other, lining up the decimal points vertically.

Now, add the quantity of recycling material collected during three week.

That is, 15.49 + 20.82 + 22.91 = 59.22

Given that, group B collected three times as much as Group A.

So, 3 × 59.22 = 177.66

Therefore, the total amount that Group B collected 177.66 pounds.

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Which is another way to write 9 tens 3ones? Write the numbers.

Answers

9 tens 3 ones = 93 <===

9 tens 3 ones can also be 93. 9 is in the tens place and 3 in the ones place.

Using long division write each rational number as a terminating decimal

Answers

The answer is 2.3 lol long division sucks

Help me please I just need math and that's all for math

Answers

1. 3 1/4
2.9 1/2 hope it helped

3 1/4 9 1/2

hope it helpedd

whats the soultion for 10000 ft/hr = mi/hr

Answers

Hi! There are 5,280 feet in a mile. Therefore, you need to divide 10,000 feet by 5,280 (to see how many miles there are per every 5280 feet) and you get 1.89 miles per hour.

50 tens x 4 hundreds = 40 tens x 5 hundreds

Answers

200,000 = 200,000 so the equation is true.

50 x .1 x 4 x .01 = .2
10 x .1 x 5 x .01 = .2

Order the numbers from least to greatest. 95,−2.5,−1.1,−45, 0.8

Answers

The order of numbers from least to greatest is -45, -2.5, -1.1, 0.8, 95.

The given set of number are 95, −2.5, −1.1, −45, 0.8.

What are ascending and descending order of numbers?

Ascending order is a way to arrange numbers from smallest to largest.

Descending order is a way to arrange numbers from largest to smallest.

Arranging the numbers from least to greatest means writing the numbers in an ordered list according to their values. The smallest number should be written on the left, with the next smallest number written to its immediate right.

Now, -45<-2.5<-1.1<0.8<95

So, the order is -45, -2.5, -1.1, 0.8, 95

Therefore, the order of numbers from least to greatest is -45, -2.5, -1.1, 0.8, 95.

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Final answer:

The numbers in ascending order are: -45, -2.5, -1.1, 0.8, 95.

Explanation:

To order the numbers from least to greatest, you compare their values. Starting with the smallest number, you can arrange the numbers in ascending order.

The numbers in ascending order are: -45, -2.5, -1.1, 0.8, 95.

Can I get some help! Show your work

Answers

First factorise the top and bottom of the fraction. We get:-

(k - 2)(k + 1)
-----------------
(k - 5)(k + 1)

(k+1) is common so cancels out:-

= (k - 2)
-------
(k - 5)

The ANSWER IS D

Why is it important to have complex carbohydrates before a big race?

(Again, not math. I know, its to get the answer faster..)

Answers

Complex Carbs are very useful because they are healthy and do not interfere with a race. They turn those into glucose and helps the energy be saved longer.

Complex Carbohydrates are made up of sugar molecules strung together in long chains. Both simple and complex carbs can be turned into Glucose which is used as short term energy. This short term energy is great for short races, for marathons I suggest more lipids as well. The act of eating a lot of carbs the night before a race is called "Carb Loading"

PLS HEEEEEEELP 20 POINtS
Evaluate |x + y|, for x = 8 and y = -15.

7

-7

23

-23

Answers

So first, we want to substitute all variables in.

|8 + -15|

Or,

|-7|

And the bars around it mean absolute value, or how far away it is from 0. In this case, it would be 7.

So your solution is 7.

200 divided by 19.30 to the nearest 10th

Answers

19.30 to the nearest tenth is 20 20/200 = 10?

A farmer collects 1,250 eggs on a morning. She puts 30 eggs on each tray. How many egg trays does she need to hold all the eggs? Show your work.

Answers

You would do 1250 dived by 30.
1250/30 = 41.666
And if you round that, she would need 42 trays.

Hope I helped :)

It will need 42 trays 1250 divided by 30 is 41.666667 but if you round it, its 42

Find the value of m in each equation below. Justify your answer.
(x^m × x^2)^3 (k^3)^5 = x^21k^15

Answers

The main properties we use in this problem are:

i) [tex]x^a \cdot x^b=x^{a+b}[/tex] (so, when we multiply 2 exponents of the same base, we add the exponents)

ii) [tex]({x^a})^b=x^{a \cdot b}=x^{ab}[/tex]

thus,

[tex](x^m \cdot x^2)^3=({x^{2m}})^3=x^{2m \cdot3}=x^{6m}[/tex]

by first applying property i) then property ii)

also, [tex]({k}^3)^5=k^{15}[/tex], by property ii)

So we have:

[tex]({x^m \cdot x^2})^3 \cdot({k}^3)^5=x^{21} \cdot k^{15}\\\\x^{6m}\cdot k^{15}=x^{21} \cdot k^{15}[/tex],

now we only have to compare the exponents.

6m must be equal to 21,

thus m=21/6=7/2

Answer: m=7/2

The heights of four boys measured 152.0cm, 150.75cm, 149.5cm and 149.25cm. Bradley is the tallest, Calvin is taller than Josh, but shorter than Mark. Josh is the shortest. What is Mark's height?

Answers

I believe the answer would be 150.75 cm as Marks height. I got this by if Bradley is the tallest, he would be 152.0 and if Calvin is taller than Josh, who is the shortest, the only height left would be Marks at 150.75

Write each fraction in simplest form

Answers

9/18 simplified would be 1/2

29. = 1/2 in simplest form. Hope I helped

Which of the following are true statements about David Hilbert

Answers

need to know what the options are

Final answer:

The student question doesn't correctly pertain to David Hilbert; thus, an answer specific to him is not provided. Instead, a brief description of Hilbert’s contributions to mathematics is outlined, showing a potential misunderstanding or typo in the original question.

Explanation:

The question does not directly relate to David Hilbert, hence answering the question as posed is not possible. David Hilbert was a renowned German mathematician known for his contributions to fields such as invariant theory, the calculus of variations, commutative algebra, and algebraic number theory. His work also had a profound influence on the foundations of mathematics, especially through the establishment of formalism as a philosophy of mathematics, and his famous list of 23 unsolved problems presented in 1900. Notably, Hilbert's name is often associated with the Hilbert's Program, which aimed to provide a complete and consistent set of axioms for all of mathematics, and the Hilbert space, which is a concept in functional analysis that provides a general framework for the mathematical formalism of quantum mechanics. Unfortunately, the information provided in the student question references several other philosophers and mathematicians, such as Harman, Dharmakīrti, Leibniz, Pierce, Hume, and Heisenberg, rather than focusing on Hilbert's life and work.

How many cups will I need for 30 biscuits if there’s 2 cups for every 8 biscuits

Answers

divide 30/8 = 3.75

3.75 *2 = 7.5 cups

If there's 2 cups for every 8 biscuits (not try to be mean, but I really really hate biscuit) there will be 7.5 cups. First, you take 8 and divide it by 2 to find out how many biscuits that 1 cup needs, so 4 biscuits per cup. Last, all you have to do left is take 30 and divide it by 4, which will gives you 7.5. So, for 30 biscuits, you will need 7.5 cups, even though I don't know what cup is it (flour, sugar, salt, water,...).

Calculate the future value of an investment of $2300, after 7 months, earning 6.6% APR, compounded monthly, by compounding manually.

Answers

The future value of an investment, P after n years at an APR of r% compounded t times a year is given by
[tex]FV=P\left(1+ \frac{r}{t} \right)^{nt}[/tex]

Given an investment of $2300, after 7 months, earning 6.6% APR, compounded monthly, the future value is given by
[tex]FV=2,300\left(1+ \frac{0.066}{12} \right)^{12\left( \frac{7}{12}\right) } \\ \\ =2,300(1+0.0055)^7=2,300(1.0055)^7 \\ \\ =2,300\times1.03914=\$2,390.02[/tex]

jordan bought 12 tennis balls and annika bought 16. the tennis balls come in packages. each package has the same number. what is the greatest possible number of tennis balls in each package

Answers

It would be 4 because it is the highest number that can go into 12 and 16.

A credit card states that your payment will be a minimum of $15 plus 1% of your unpaid balance. Your unpaid balance is $2,365.What is your payment this month?

Answers

Alright, to get 1% of his unpaid balance, we can make 1% = 0.01 by moving the decimal place 2 places over. Multiplying 0.01 by 2365 gets 1% of your unpaid balance=23.65. Since we have to add 15 as a base value, we have
15+23.65=38.65

Six rectangles have a area of 64 square units what is the perimeter

Answers

Solution:1. A= 64m^2, l = 12 mA = wl Solving for PP=2 l+2(A/ l) = 2·12+2·64/12 ≈ 34.66667 m
Solution:2. A= 64m^2, l = 4 mA = wl Solving for PP=2 l+2 (A/ l) = 2·4+2·64/4 ≈ 40 m
Solution:3. A= 64m^2, l = 24 mA = w l Solving for PP=2 l+2 (A/ l) = 2·24+2·64/24 ≈ 53.33333 m
Solution:4. A= 64m^2, l = 16 mA = w l Solving for PP=2 l+2 (A/ l) = 2·16+2·64/16 ≈ 40 m Solution:5. A= 64m^2, l = 8 mA = w l Solving for PP=2 l+2 (A/ l) = 2·8+2·64/8 ≈ 32 m
Solution:6. A= 64m^2, l = 32 mA = w l Solving for PP=2 l+2 (A/ l) = 2·32+2·64/32 ≈ 68 m

3(n - 1) = 5n + 3 - 2n

Answers

3(n - 1) = 5n + 3 - 2n
3n - 3 = 3n + 3
3n - 3n = 3 + 3
0 = 3 ...(incorrect)
This equation has no solution

plot the fraction 7/12 on the number line . is 7/12 closer to 0, 1/2 or 1 ?

Answers

It is closer to 1/2 because it is one more than half of 12. Understand?

Final answer:

To plot 7/12 on the number line, divide the line into equal parts and determine where 7/12 falls. 7/12 is closer to 1 than to 1/2 or 0.

Explanation:

Plotting a fraction, such as 7/12, on a number line involves breaking down the interval into equal parts and determining the position of the fraction within that range. In this case, the fraction 7/12 is being considered.

To understand where 7/12 falls on the number line, it's essential to consider both the numerator (7) and the denominator (12). When comparing fractions, having a larger denominator signifies smaller parts, while a larger numerator indicates more parts taken. In this context, the denominator 12 is greater than 2, suggesting that 1/2 is smaller than 7/12. Additionally, since the numerator 7 is smaller than 12, we can conclude that 1 is smaller than 7/12.

As a result of these comparisons, it becomes apparent that 7/12 is closer to 1 on the number line than it is to 1/2 or 0. This intuitive understanding of fraction placement on a number line helps in visualizing the relative sizes and positions of fractions, contributing to a deeper grasp of mathematical concepts and comparisons.

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To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?

Answers

find min
min is 1.5-0.2=1.3cm

max is 0.2+1.5=1.7cm

so it would be a graph from 1.3cm to 1.7cm

like below

Answer: option A

Step-by-step explanation:

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