the 7th grade has 207 students. there are 23 more girls than boys in the grade. how many boys are in the 7th grade

Answers

Answer 1

Answer:

92 boys

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Answer 2

Answer:

42 boys

Step-by-step explanation:

Represent the number of boys with 'b' and that of girls with 'b + 23.'

Then b + (b + 23) = 207.

Simplifying, we get 2b =   84, so that b is 42.  There are 42 boys and

(42 + 23) girls, or 65 girls.


Related Questions

Please help me calculate the area of all the grey parts of this shape :)

Answers

The grey part is equal to the area of the square minus the area of the “half circle”.

Square’s Area: 2cm x 2cm = 4cm^2.

Half Circle’s Area: (pi x r^2):2 =
= (3.14 x 1cm^2):2 = 1.57cm^2

Grey Part’s Area = (4 - 1.57)cm^2 = =2.43cm^2

Which of the following numbers is rational?

Answers

Answer:

B is the answer

Step-by-step explanation:

A is a normal number
C is division along with D

So it is B

3/5 plus 1/2 in simplest form

Answers

3/5 + 1/2

= 6/10 + 5/10

= 11/10

= 1(1/10)

= 1.10

PLEASE SOLVE. I NEED IT TO BE CORRECT!

Answers

Answer:-4,000/ -20

Step-by-step explanation:

hopefully this is right, so you have multiple choice and if so is this up their?

Answer:

198

Step-by-step explanation:

the maximum value of 4x - 6 is 54

Answers

Answer:

x=15

Step-by-step explanation:

1. Solve

4x-6=54

4x-6+6=54+6 <=== Add 6 to both sides

4x=60

4x÷4=60÷4 <=== divide by 4 on both sides

x=15

2. Check

4x15-6=54 <=== Replace x with 15 to check

60-6=54 <=== 4x15 equals 60

54=54 <=== 60-6 equals 54 and 54=54

so it is correct!!

For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x).

Answers

Answer:

[tex](f-g)(x)=-x^{2}+2x+8[/tex]

Step-by-step explanation:

[tex]\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)[/tex]

                [tex]=2x+1-\left( x^{2}-7\right)[/tex]

                [tex]=2x+1-x^{2}+7[/tex]

                [tex]=-x^{2}+2x+8[/tex]

please help me answer this

Answers

Answer:

1,080

Step-by-step explanation:

Multiply the different amounts of customizations to get all the possibilities 3 sizes × 4 choices of crust is 12 possibilities,
12 possibilities × 3 choices of sauce is 36 possibilities,
36 possibilities × 3 choices of cheese is 108 possibilities,
108 possibilities × 10 different toppings is 1,080 possibilities.    

A group of friends count the coins they have in their pockets.
They record how many cents they each have in dimes.
Another friend counts his coins and has 2 dimes.

If 20 is added to the line plot, what effects will it have on the mean and median?

Answers

Answer:

I do not know the full answer but its not the mean dropping

Step-by-step explanation:

i said the mean dropping and I got it wrong.

Answer:

The mean will change more than the median

Step-by-step explanation:

how to solve (4s - 5t)²​

Answers

Answer:

Step-by-step explanation:

Hi, I need help with this math question. Can you pls help me?

Answers

The third term is 245 and the first term is 5 -> To get from the first term to the third term, we multiply it by 49.

Since in a geometric sequence, the difference between each term has to be a constant multiplier or a sequence of multipliers -> We can find the second number to be 5 x 7 = 35

So, this geometric sequence is 5 ; 35 ; 245 and so on.

-> The common ratio of this sequence is 7. (and sorry if the things above don't make sense)

Answer:

7

Step-by-step explanation:

Given:

First term = 5Third term = 245

Let the second term be "x".

⇒ 5, x, 245...

Thus, the following equations:

5 × (something) = xx × (something) = 245

To find the common ratio between the three terms, we need to find the value of "x". Simplify both the equations to obtain the values of (something). Then compare both the values.

⇒ [5 × (something)] = x

⇒ [5 × (something)]/5 = x/5

⇒ (something) = x/5

⇒ x × (something) = 245

⇒ [x × (something)]/x = 245/x

⇒ (something) = 245/x

Now, let's compare both the results of (something).

⇒ x/5 = 245/x

⇒ x² = 5 x 245

⇒ x² = 1225

⇒ x = √1225 = 35

Substitute the second term into the sequence.

⇒ 5, x, 245 = 5, 35, 245

Looking at the sequence formed, we can tell that 7 is being multiplied to each term. Thus, 7 is the common ratio.

Pythagorean theorem. Show your work!
Please help in really stuck!!

Answers

Answer:

[tex]\sqrt{81}[/tex] = 9 :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2 = c^2.

In this case, a = 12, c = 15, and we do not know the value of "b."

Let's solve by plugging the values in!

12^2 + b^2 = 15^2

144 + b^2 = 225

Subtract 144 on both sides:

b^2 = 81

b = sqrt 81

b = 9

PLEASE FIND WHAT EACH SQUARE IS WORTH AND THE TRAPEZOID AREA! WILL AWARD BRAINLIEST

Answers

Answer:

10.5 units squared

Step-by-step explanation:

just count the squares up or use the formula (a+b)/2 * h .

Not sure what "each square is worth means" sorry, if you clarify I can answer

one square is 2 cm swuared.

trapezoid area = 1/2h(b1+b2)

area = 1/2(6)(10+4)

area = 3*14

area =42

write 755 minutes to the nearest hour​

Answers

ans: about 12.58hrs

if you want a whole number, then say about 12hours

[tex] \huge\mathcal\green{ANSWER} [/tex]

[tex] \mathcal\red{755 \: minutes \: is \: equal \: to \: 12.58 \: hours.} [/tex]

[tex] \mathcal\blue{12.58 \: hours \: to \: the \: nearest \:hour \: is \: 13\: hours} [/tex]

The variable y is directly proportional to x. If y=3 when x=5, then what is y when x=20

Answers

Answer:

y=12

Step-by-step explanation:

y=k*x

3=5*k

k=3/5

y= (3/5)*x

y=(3/5)*20

y=12


Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use z = 3.14 in any formulas used.





Perimeter = 52.56 inches, Area = 162.24 square inches

Perimeter = 65.12 inches, Area
162.24 square inches

Perimeter = 46.28 inches, Area = 137.12 square inches

Perimeter = 52.56 inches, Area = 137.12 square inches

Answers

answer:

d

perimeter = 52.56 inches

area = 137.12 square inches

The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.

The composite shape with trapezium and semicircle is given.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

The total perimeter = Perimeter of trapezium + Circumference of semicircle

Perimeter of trapezium = (8+10+10+20)

= 48 inches

Circumference of semicircle =πr

Here radius=8/2

= 4 inches

Now, 3.14×4 =12.56 inches

The total perimeter = 48+12.56

= 60.56 inches

Total area= Area of trapezium + Area of semicircle

Area of trapezium =1/2 (a+b)×h

= 1/2 (20+8)×8

= 28×4

= 112 square inches

Area of semicircle =πr²/2

= (3.14×4²)/2

= 25.12

Total area= 112+25.12

= 137.12 square inches

The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ2

4 What is the total perimeter?
(2 pts)
4ft,
12 ft.
Show ur work 30 points

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Perimeter of the composite figure :

Perimeter of rectangle + circumference of semi circle - common side.

Perimeter of rectangle :

[tex]\qquad \tt \dashrightarrow \:2(4 + 12)[/tex]

[tex]\qquad \tt \dashrightarrow \:2(16)[/tex]

[tex]\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} [/tex]

Circumference of Semicircle :

[tex]\qquad \tt \dashrightarrow \:\pi r[/tex]

[tex]\qquad \tt \dashrightarrow \:3.14 \times 2[/tex]

[tex]\qquad \tt \dashrightarrow \:6.28 \: ft[/tex]

Length of common side = 4 feet

So, perimeter of composite figure :

[tex]\qquad \tt \dashrightarrow \:32 + 6.28 - 4[/tex]

[tex]\qquad \tt \dashrightarrow \:34.28 \: ft[/tex]

help me, Sofia practices swimming and has every day for three weeks. the first day she trains 15 minutes and each day she trains 5 minutes more than the day before She constructs the sequence for the first week of training and determines the elements of the sequence and the type.

Answers

Answer:

20

Step-by-step explanation:

you add 15 and 5

Rajan is given half a chocolate to divide amongst 4 people including himself what fraction of the whole chocolate is he left with?

Answers

12.5% because half of 100% is 50% and 50/4=12.5%

Answer: If Rajan has [tex]\frac{1}{2}[/tex] of a chocolate bar, then he has to divide it 4.

[tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] ÷ 4

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex]

Multiply the numerators and denominators and you will get:    [tex]\frac{1}{8}[/tex]

Hope this helped!

I dont really know what to do here, ive done a which is -2 but dont know how to do b. It is not 1/2x -1.5

Answers

Answer:

a)  -2

b)  y = -2x + 6

Step-by-step explanation:

Question (a)

Point A = (-1, -2)

Point B = (7, 2)

[tex]\sf gradient\:of\:AB=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-2)}{7-(-1)}=\dfrac{4}{8}=\dfrac12[/tex]

If lines are perpendicular to each other, the product of their gradients will be -1.

Let g be the gradient of the perpendicular line:

[tex]\implies \sf \dfrac12 \times g=-1[/tex]

[tex]\implies \sf g=-1 \div \dfrac12=-2[/tex]

Therefore, the gradient of the line perpendicular to AB is -2

---------------------------------------------------------------------------------------------

Question (b)

[tex]\sf midpoint\:of\:line = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\sf let\:point\:A=(x_1,y_1)=(-1,-2)[/tex]

[tex]\sf let\:point\:B=(x_2,y_2)=(7,2)[/tex]

[tex]\sf \implies midpoint\:of\:line\:AB = \left(\dfrac{-1+7}{2},\dfrac{-2+2}{2}\right)=(3,0)[/tex]

We now know the gradient and a point on the perpendicular line.

So we can use the point-slope form of a linear equation:

[tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=-2(x-3)[/tex]

[tex]\implies \sf y=-2x+6[/tex]

PLEASE HELP WILL GIVE 50 POINTS to the right answer

Answers

Answer:

)-( Ï Ï'M Ä ÑËWßÏË YÖÜ ÇÄÑ WËLÇÖMË MË!!!

m∠MFE = 28°

======================

Angles m∠MFE, m∠MFP, m∠PFR lies on a straight line

A straight line has total 180° angle.

→ m∠MFE + m∠MFP + m∠PFR = 180°

x + 6 + 90° + 3(x) - 4° = 180°4(x) + 92° = 180°4(x) = 180° - 92°4(x) = 88°x = 22°

Solve for m∠MFE

x + 622° + 6°28°

Estimate the perimeter of the figure on number 3

Answers

Answer:

13.5

Step-by-step explanation:

i just counted the whole squares and then counted the half and divided that number by 2 and added that number to the first number

9 + (9/2)

9 + 4.5

13.5

It’s easy yk bro i just need some helpp with it

Answers

Hey, what do you need help with lol

Answer:

I think you need to link a picture or something

Step-by-step explanation:

anyone knows the answer?! ​

Answers

Answer:

The third option

Step-by-step explanation:

the lowest point on function 1 is -7

the lowest point on function 2 is -9

Is it true that M is perpendicular to P?

Is it true that N is perpendicular to P?

need help, prettyy stuck!​

Answers

yes it is true and second is false

Pls help! I really need help! This is my question..

A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?

Answers

Answer:

density= 2 and 1/2

Step-by-step explanation:

The formula to find density is: density=[tex]\frac{mass}{volume}[/tex]

so the mass is 100, and the volume is 2x4=8x6=48,  100/48 equals 2 and 1/2

Does anybody know this? I really need help.

Answers

Answer:

22 is th area

Step-by-step explanation:

The length of a rectangular fam is 15 inches, and the width of the frame is 8 inches. What
is the length of a diagonal of this frame in inches?
Record your answer below. Just the number.

Answers

Answer: 17 inches

Step-by-step explanation:

The formula for finding the length of a diagonal in a rectangle is [tex]d=\sqrt{w^2+l^2}[/tex]

Where

d is the diagonal

w is the width (8 for this)

l is the length (15 for this)

Sub these values into the equation

[tex]d=\sqrt{w^2+l^2}\\d=\sqrt{(8)^2+(15)^2}[/tex]

Solve

[tex]d=\sqrt{(8)^2+(15)^2}\\d=\sqrt{64+225}\\d=\sqrt{289}\\d=17[/tex]

A parallelogram is shown. The length of the sides are 5 units and the length of the top and bottom segments are 8 units. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 11 units.
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.

Area ≈
square units

Answers

Using the Heron's formula, the area of the parallelogram is 36.7 square units.

How to use Heron's formula?

Heron's Formula = √[s(s - a)(s - b)(s - c)],

where,

a, b, and c  = side of the triangles = semi perimeter of the triangle

Area of the parallelogram = 2(area of triangle)

Therefore,

The area of the triangle can be found using Heron's Formula

a = 5 units

b = 8 units

c = 11 units

s = 5 + 8 + 11 / 2 = 12 units

area of triangle = √[12(12-5)(12 - 8)(12 - 11)]

area of triangle = √12 × 7 × 4 × 1

area of triangle = √336

area of triangle = 18.3303027798

area of triangle= 18.33 units²

Therefore,

area of parallelogram = 2(18.33) = 36.6606055596

area of parallelogram = 36.7 unit²

learn more on Heron's formula here:https://brainly.com/question/12771530

The correct answer is 36.7 square units

Math

please help gotta get this gradae up

Answers

Answer:

its Y (bottom left graph)

Step-by-step explanation:

i graphed the function on desmos and matched it

Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and range and determine whether the relation is a function.

Answers

Answer:

Domain: -2≤ x≤ 0

Range: -2≤ x≤ 2

The relation is a Function

Step-by-step explanation:

The Domain is all the x values.

All the x values are either equal to or greater than -2, and less than or equal to =-0

The Range is all the y values.

Apply the same logic as the domain.

A function is where no x values are the same, and since in this graph we see no vertical line, indicating the same x value, it means it is a function

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