The ratio of boys to girls in a class is 2:3
Ben says there are 28 students in the class.

(a) Explain why Ben must be wrong

(b) Write down a possible number of students in the class

Answers

Answer 1

Step-by-step explanation:

A: adding together 2 and 3 a bunch of times (2+3+2+3+2+3 etc) does not equal 28.

A possible answer could be 27 students.

Answer 2

The requried,
(a) Ben is wrong because the number of students is incorrect,
(b) The required possible number would be either 25 or 30.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,
As mentioned in the question, the ratio of boys to girls in a class is 2:3

Ben says there are 28 students in the class.


So total of the ratio = 2 + 3 = 5
Now calculate number of boys = 2 / 5 [28] = 7.2 [this is not possible]
So the total number of students must be that number which is divisible by 5 and nearby 28, so the number would be 25 or 30.

Thus, the requried,
(a) Ben is wrong because the number of students is incorrect,
(b) The required possible number would be either 25 or 30.

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Related Questions

Serenity invested $3,100 in an account paying an interest rate of 2.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 12 years?

Answers

Answer:

$4179

Step-by-step explanation:

3,100*.029= 89.9

89.9*12=1,078.80

3,100+1,078.80=4,178.80

4,178.80 rounded to the nearest dollar= 4179

The amount of money in the account after 12 years would be $4,371.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To calculate the amount of money in the account after 12 years, we need to use the formula for continuously compounded interest, which is:

A = P[tex]e^{rt}[/tex]

where A is the final amount, P is the principal (initial amount invested), r is the annual interest rate, and t is the number of years the money is invested.

In this case, the initial amount invested is $3,100, the annual interest rate is 2.9%, and the number of years is 12.

Plugging these values into the formula, we get:

A = $3,100 × [tex]e^{0.029 \times 12)[/tex]

A = $3,100 × [tex]e^{0.348}[/tex]

A = $3,100 × 1.41

A = $4,371

Therefore, the amount of money in the account after 12 years, to the nearest dollar, would be $4,371.

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A
Use the drop-down menus to identify the parts of the
coordinate plane
Line A is the
В
Region BIS
Point C is the originy
Line D is the

Answers

Answer:

Line A is the : ✔ y-axis

Region B is: ✔ a quadrant

Point C is the: ✔origin

Line D is the: ✔ x-axis  

Step-by-step explanation:

Did it on Edgen

For the given coordinate plane the letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.

What is a coordinate plane?

A coordinate plane can be defined as the surface formed by two perpendicular lines which intersect each other. The vertical and horizontal lines are known as y and x axis respectively.

The intersection of these lines is known as the origin.

The diagram of the coordinate plane can be analysed as,

(a) Line A is the vertical perpendicular line.

It can be called as y-axis.

(b) Region B lies in the part of the coordinate plane where x and y coordinates are positive.

It is known as the first quadrant.

(c) Point C lies at the intersection of two lines perpendicular to each other.

It can be said the origin.

(d) Line D is the horizontal line.

It can be called as x-axis.

Hence, the given letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.

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The missing diagram is attached here.

[-1+(2²-5×6)]÷(-5+2)+1

Answers

Answer is 10

Step-by-step explanation:

i need help, may someone help please..

Answers

Answer:

if line p is going through the middle x is equal to 5

PLEASE HURRY Question 2(Multiple Choice Worth 1 points)
(07.01 LC)
What is the value of x in the equation -6 + x = -4?
0-10
O
-2
O2
O 10

Answers

2
So it’s third option
All u have to do is

Add 6 to both sides so
-4+ 6 is 2

Thus

X=2

What do you notice about the graph when it passess through a root of even multiplicity?​

Answers

If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis.


Please leave a thanks <3

What is the solution to
-10 = 5(2x – 4)

Answers

-10=5(2x-4)
-10=10x-20
+20 +20
10=10x
1=x

Answer:

3=x

Step-by-step explanation:

multiply 5 times 2x and 4 which is 10x-20

then you have -10=10x-20

then add 20 to both aides and you'll have

30=10x then divide by 10 to get x alone

and you have

3=x

A car costs 20% less this year than last year. Last year, the car cost 5% less than the year before. The price of the car this year is $9,400. How much did the car cost 2 years ago?

Answers

Answer:

The answer is 11,374

Step-by-step explanation:

First we find 5% of 9,400 is.

9,400 * 5% = 470

Next we add 9,400 with 470 then multiply by 20%

9,400 + 470 = 9,870

9,870 * 20% = 1974

Next we add.

9,870 + 1,974 = 11,374

So, the answer is 11,374

Hope this helps! :)

No more than 15 copies of a newspaper are left in the newspaper rack. Write an inequality to represent this situation.

Answers

Answer:

0≤x≤15

Step-by-step explanation:

I need help !! This is being timed

Answers

Divide the number of people who bought tickets by total people in the seats:

15 / 22 = 0.681818

The 8181 part continues forever, so there will be a line above the 81.

The answer is the first one.

IS THIS A LINEAR FUNCTION? YES OR NO

Answers

No it is a nonlinear function notice how it is curved and not a straight line

Find the slope and the y-intercept of the line y=4x+6

Answers

Answer:

Slope: 4

Y-intercept: 6

Step-by-step explanation:

The equation is given to you in slope intercept form which is y=mx+b.

In this form m is the slope and b is the Y-intercept. Therefore all you have to do is take the value for m from the equation and put that down for the slope and the value for b as the y-intercept.

(GIVING BRAINLIEST!!)
A watermelon weighs 6.45 kilograms. How many grams does the watermelon weigh?

show your work

Answers

Answer:

6450

Step-by-step explanation:

1kg = 1000g

6.45 x 1000 = 6450

Tell me what is the equation for equation 1 and 2

Answers

Answer:

2x+3y=12$

3x+2y=19$

Hope it helps

Can somebody plz help solve each questions for what it equals correclty thanks so much :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST !!:DD

Answers

25.) m = 32

26.) p = 42

27.) r = 24

28.) x = 45

It’s so early my mind can’t comprehend basic math, what does this mean.

Answers

Answer:

Explanation: The words "more than" in mathematical terms refer to the process of addition. In this case, we need to have 8 more than x , or x+8 . Hence, the answer, x+8

neda sells televisions she earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If neda sells 19 televisions with extended warranties, she earns $1,425. How much is the fixed amount neda earns for each television?

Answers

Answer:

$5

Step-by-step explanation:

15x18=270

1170-270=900

900/18=50

Answer:

$60

Step-by-step explanation: This helpful but I can not step by step

Use what you know about ratios to describe a rate.

Answers

Answer:

down below

Step-by-step explanation:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Please help me with this
Brainiest answer to who ever is correct

Answers

Answer:

y=-2x-3

Step-by-step explanation:

Answer:

so slope or gradient is -2

Step-by-step explanation:

y=-2x-3

Which choice is equivalent to the quotient below?
40/8

Answers

Answer:

A.

Step-by-step explanation:

You simplify the square root until you narrow it down to the square root of 5.

The quotient of expression of √40/√8 is √5 which is correct option (A).

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given expression as :

⇒ √40/√8

Factor of √40 = √8×√5

⇒ (√8√5)/√8

Cancel out of√8

⇒ √5

Hence, the quotient of expression of √40/√8 is √5.

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The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D

Answers

Answer:

The coordinates of D are (2,-2)

Step-by-step explanation:

The coordinates of point D are (2,-2)

The coordinates of the parallelogram are given as:

E(-1,4),  F(5,6) and G (8,0)

For the coordinates to represent a parallelogram, the following must be true

[tex]x_D - x_E = x_G - x_F[/tex]

[tex]y_D - y_E = y_G - y_F[/tex]

So, the equations become

[tex]x_D -(-1) =8-5[/tex] and

[tex]y_D -4 =0-6[/tex]

Solve for x and y in the above equations

[tex]x_D -(-1) =8-5[/tex]

[tex]x_D +1 = 3[/tex]

[tex]x_D = 3-1[/tex]

[tex]x_D = 2[/tex]

[tex]y_D -4 =0-6[/tex]

[tex]y_D - 4 = -6[/tex]

[tex]y_D = 4-6[/tex]

[tex]y_D =-2[/tex]

Hence, the coordinates of point D are (2,-2)

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HELP PLZ there are no answer choices plz

Answers

the answer would be 12.5
if this is scale factor .. you have to divide the side by each other
10/4 = 2.5
20/8 = 2.5
which means 5 multiply by 2.5 equals 12.5

6) A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?

Answers

Answer:

452.448in² options D

Step-by-step explanation:

A circular window on a boat has a diameter of 24

inches. Approximately how much wall space does the

window take up?

A 38 in?

B 75 in?

C 113 in?

D452 in?

Given data

D=24 inches

Radius =d/2= 24/2= 12 inches

Area A

A=πr²

Substitute

A=3.142*12²

A=3.142*144

A=452.448in²

The angle of a triangle are in the ratio 3:7:8. Find the angles.​

Answers

Answer:

30°, 70°, 80°

Step-by-step explanation:

Let the measures of the angles be 3x, 7x and 8x.

Since, sum of the measures of all the three angles of a triangle is 180°.

Therefore,.

3x + 7x + 8x = 180°

18x = 180°

x = 180°/18

x = 10°

3x = 3*10° = 30°

7x = 7*10° = 70°

8x = 8*10° = 80°

Thus, the measures of the angles are 30°, 70°, 80°.

Writh an equation of a line in slope-intercept form for the given conditions.

slope =2 and passes through (-5,2)

y=​

Answers

Answer:

y=2x+12

Step-by-step explanation:

y-2=2(x-(-5))

y-2=2(x+5)

y-2=2x+10

y=2x+12

Han states that (b+6) has one factor. Explain why Han's thinking is correct.

1.The hidden factor of one does not count in the reporting.

2.The number 6 is the only number in the expression.

3.Anything in parentheses are considered factors.

4.If there is more than one term, then there is only one factor.

Answers

Answer:

2

Step-by-step explanation:

6 is not a factor only terms count as factors

The number 6 is the only number in the expression. Then the correct option is 2.

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The expression is given below.

⇒ (b + 6)

The number 6 is a factor only terms count as factors because the variable b is the multiple of 6.

The number 6 is the only number in the expression. Then the correct option is 2.

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6 mi Find the volume for the shape above. Use 3.14 for pi. Round to the nearest whole number.​

Answers

Answer:

Step-by-step explanation: does anyone know? I really need this

Jo sold 132 mugs. One quarter of the mugs were small. The rest were large. How many small mugs did Jo sell? * 1 point

Answers

Answer:

33 small mugs

Step-by-step explanation:

Given:

Total number of mugs sold by Jo = 132

One quarter of the mugs were small. The rest were large.

To find: Number of small mugs sold by Jo

Solution:

Number of small mugs sold by Jo = [tex]\frac{1}{4}[/tex] (Total number of mugs sold by Jo)

Therefore,

Number of small mugs sold by Jo [tex]=\frac{1}{4}(132)=33[/tex]

Write an equation of a line that passes through the point (1, 2) and is perpendicular to the line y=-1/4x+2​

Answers

Answer:

y = 4x - 2 would be the equation

Can someone please help me answer this I am confused

Answers

Answer:

C

Step-by-step explanation:

Answer:

470

Step-by-step explanation:

.94 x 500 = 470

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