In a class of 40 students, the number of girls is 10 more than the number of boys. We have to find the number of girls and the number of boys in the class.

Let’s represent the number of girls by g, and the number of boys by b. Write the pair of linear equations you will get in g and b :

Answers

Answer 1

Answer:

b=15 g=25

Step-by-step explanation:

lets translate that story problem to mathematics equations

the problem told that no. of girls are 10 more than no of boys so this will =

g=b+10

then in class there are 40 students that means

g+b=40

now we have to equations with two variables then we should substitute

(b+10)+b=40

lets remove the brackets

2b+10=40 subtract 10 from both sides

2b=30 now divide both by 2

b=15 so g=25 after you write the equation once again with the new proof or number


Related Questions

Please help ASAP
Find the slope of the line graphed below.

Answers

Answer:

3/4

Step-by-step explanation:

Hope this helps! :)

3/4 would be the answer :))

Is this even possible?

Answers

Answer:

yes.

simply subtract the coupons from the total.

56.12-9.85= $46.30

F(x,y)=-2x^2-2xy-2y^2+35x+42y-158

Answers

Answer:

x^3 + x^2 + 2x^2y + xy^2 + y^2 + 2xy

Step-by-step explanation:

ihope makaktulong

if wrong correct me

7 9 4
-2 4 -3
3 10 0
Inverse of this

Answers

Answer:

The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0

Step-by-step explanation:

If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.

i need an answer for a question:
The cost of 12 ounces of tuna is $2.40 what is the cost per ounce of tuna?​

Answers

Answer:

$0.20

Step-by-step explanation:

if you divide 2.40 by 12 you get 0.20, which is the answer

if x squared by 3 equal 64 what is the value of x

Answers

Answer:

4

Step-by-step explanation:

x^3= 64

x= 64^1/3

x=4

Answer:

4

Step-by-step explanation:

4x4=16

16x4= 64


The area is ___ square meters. UH HELP I need the steps if anyone can!?

Answers

ANSWER:
27m squared

STEP BY STEP:
-Find the area of the rectangle (6*3), which is 18
-Find the area of the triangle (6*2)/2=6
-The second triangle (3*3)/2=3
-Add all the answers up (27)
-Add the label (meters squared)
- your answer is 27m squared

How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.

Answers

Answer:

8 cm

Step-by-step explanation:

Just multiply 3.2 by 2.5

3.2 x 2.5 = 8

Answer:

Sure, your answer is 8

Step-by-step explanation:

3.2 * 2.5=8

MULTIPLE CHOICE PLS ANSWER THANKS

Answers

Answer:

I think answer is B

B.10x+150=180

Can y’all help me please
Letters A through F

Please:((

Answers

Answer:

can you take another photo

Step-by-step explanation:

Each stew pot can hold 6 liters of stew if there are 5 stew pots how much stew could be made at one time

Answers

Answer:

Step-by-step explanation:

5p(6L/p)=30L

30 liters can be made with the five pots.

30 liters - 6 liters times 5 liters equals 30 liters

m= -3 b= -1 slope intercept form ​

Answers

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

the population of staten island is 7.6*10^3. the population of Brooklyn is 2.3*10^5. how many people are there in Brooklyn and Staten Island?​

Answers

Answer:

1

Step-by-step explanation:

1

Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

Answers

y = -1/5x + 2

A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).

First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3

So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.

Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation

y - y1 = m(x - x1)
y - 1 = -1/5(x - 5)
y - 1 = -1/5x + 1
y = -1/5x + 2


Jerome is a co-worker of a small company and received 1/3 of the company’s profits this year. What were the company’s overall profits if Jerome made 150,000? Type an equation and solve

Answers

Answer:

The company's overall profits were 450,000.

Step-by-step explanation:

We know that Jerome received 150,000. This 150,000 also counts as 1/3 of the profit, so if we put it as an equation, it gives us this:

1/3x = 150,000  We need to work out how much the overall profits are, which I've labelled as x.

x = 450,000  Here we multiply 150,000 by 3 to get x on its own, or you could also divide by 1/3.

I hope this makes sense to you. ^-^ If not, do let me know.

A line segment has endpoints at(2,4) and (6,10). What are the coordinates of the midpoint of the line segment?

Answers

Answer:

I think the midpoint is (4,7)

Step-by-step explanation:

How many groups of of 5/6 are in 1

Answers

Answer:

6/5

Step-by-step explanation:

to find the number of 5/6 's in 1 , divide 1 by by 5/6 . when dividing by a fraction , rewrite it as multiplying by the reciprocal

Find the distance and midpoint between (3,6) and (5,11)

Answers

Answer:

((3+5)/2,(6+11)/2)=(4,8.5)

You don’t have to answer both. Will give brainliest if you help.

Answers

9514 1404 393

Answer:

  15) 27

  16) 6144

Step-by-step explanation:

15) Jill's sequence is exponential:

  3 9 27 81 243

Marlando's sequence is linear:

  15 21 27 33 39

The first number in both patterns is 27.

__

16) The number of cards ordered is ...

  (256 pkgs)(24 cards/pkg) = 6144 cards

Please help due tomorrow please explain if can

Answers

Answer:

16) 9ft, C

17) 1440 cm^3, D

18) 314 m^2, B

Step-by-step explanation:

16) 18 / 6 = 27 / x

18x = 162

x = 9 (C)

17) 24 / 1,920 = 18 / x

24x = 34,560

x = 1440 (D)

18) Surface Area of a sphere = 4 * pi * radius^2 (4r^2)

SA = 4pi(5)^2

SA = 4pi25

SA = 100pi

SA = 100(~3.14)

SA = 314 (B)

Ali is cutting 3/8 in. Cookie dough slices from a 10 1/2 in. long roll how many does she get​

Answers

Answer:

28 slices

Step-by-step explanation:

Take the length of the roll and divide by the size of the slice

10 1/2 ÷ 3/8

Change the mixed number to an improper fraction

(10*2 +1) /2 ÷ 3/8

21/2 ÷ 3/8

Copy dot flip

21/2 * 8/3

Rewriting

21/3 * 8/2

7 * 4

28

You will get 28 slices

Ali is cutting 4/6 in. Cookie dough

Find the volume for the regular pyramid. 4cu units, 6 cu units, or 12 cu units

Answers

Answer:

4 cu. units

Step-by-step explanation:

1/3x2x2x3=4 cu. units

Answer:4cu unit

Step-by-step explanation:

2*2*3=12

12* 1/3 =4

PLLLLLLLLLLEEEEEEEZZZZZZZZZZZZzZZZZzZzzzzZZZzZZ HHHHHHHEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPP ASAP ASAP

Answers

Answer: x = 7

Step-by-step explanation:

The two angles depicted in the image are vertical angles since they are a pair of opposite angles made by two intersecting lines. Vertical angles are always congruent meaning that the two angles in the picture are equal. Therefore:

9x + 16 = 12x - 5

-3x + 16 = -5

-3x = -21

x = 7

Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)​

Answers

Answer:

0.0144

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both

P(both) = 6/100 * 6/100 = 36/10000 = 0.0036

At Least one

Just One

94/100 * 6/100 =  564/10000 = 0.0564    

Both                                            0.0036

Total                                             0.06

                                                   

A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If they sold 10 pumpkins, write and solve a linear equation to find the number of tomatoes sold.

Answers

Answer:

16 tomatoes

Step-by-step explanation:

50+3t=98

3t=48

t=16

use trig identities to calculate sin(2x) and cos(2x) based on given information tanx=2 and cosx>0

Answers

Answer:

Find sin 2x, knowing tan x = -2, and cos x > 0

Ans:

sin

2

x

=

4

5

Explanation:

3 Trig identities to be used:

1

+

tan

2

x

=

1

cos

2

x

(1)

sin

2

x

+

cos

2

x

=

1

(2)

sin

2

x

=

2

sin

x

.

cos

x

(3)

Given tan x = -2. First find cos x and sin x

(1) -->

1

+

4

=

1

cos

2

x

-->

cos

2

x

=

1

5

-->

cos

x

=

±

1

5

.

Since cos x > 0, then

cos

x

=

1

5

.

(2) -->

sin

2

x

=

1

cos

2

x

=

1

1

5

=

4

5

-->

sin

x

=

±

2

5

.

Since cos x > 0 then

sin

x

=

2

5

.

(3) -->

sin

2

x

=

2

sin

x

.

cos

x

=

2

(

1

5

)

(

2

5

)

=

4

5

Answer link

Please help will give brainliest answer

Answers

h=w=4w^3
l=5w^2-3w-4
A=w•l
A=4w^3(5w^2-3w-4)
A=20w^5-12w^4-16w^3
Good luck

Find the area and perimeter of the polygons formed by the algebra tiles below: area: y X perimeter: 1 area: perimeter: 2​

Answers

Answer:

The answer is below

Step-by-step explanation:

a)

The area of the figure = sum of the area of the individual polygons

The area of the figure = x + 1 + y + 1 + x = 2x + y  + 2

The perimeter of the figure = sum of the length of the sides = 2(1 + (x + 1 + y + 1 + x)) = 2(2x + y + 3) = 4x + 2y + 6

b)

a)

The area of the figure = sum of the area of the individual polygons

The area of the figure = y² + xy + 1 + 1 + 1 = y² + xy + 3

The perimeter of the figure = sum of the length of the sides = (y + 1) + x + y + (y + 1) + y + 1 + 1 + 1 + x + 1 = 4y + 2x + 6


At the market Sydney put a few pairs in a bag then ways the bag on a product scale the bag pairs way 4.75 pounds she adds more pairs to the bag the new way of the bag is now 5.6 pounds right and solve an addition equation to find the weight of the pairs added to the bag?

Answers

Answer:

0.85 pounds

Step-by-step explanation:

We start with a bag that weighs 4.75 pounds and want to find the weight of the pairs added to the bag.

Let x equal the weight of the pairs added to the bag.

We can write an equation containing 4.75 pounds and x, and solve for x to find this weight value.

y = 4.75 + x  

We know that the final weight of the bag is 5.6 pounds, so we can substitute this value for y.

5.6 = 4.75 + x

Subtract 4.75 from both sides of the equation.

0.85 = x

The weight of the pairs added to the bag is 0.85 pounds.

I WILL GIVE YOU BRAINLIEST!!!
An initial investment of $480 is appreciated for 7 years in an account that earns 15%
interest, compounded quarterly. Find the amount of money in the account at the end
of the period.
01) $ 1276.81
O2) $ 1345.58
3) $ 865.58
O4) $ 1296.94

Answers

The amount of money in the account at the end of the period would be $1345.58.

What is compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Given is that an initial investment of $480 is appreciated for 7 years in an account that earns 15% interest, compounded quarterly.

We can write the compound interest as -

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

A = 480(1 + 0.15/4)^(4 x 1)

A = 480 + 865.58

A = 1345.58

Therefore, the amount of money in the account at the end of the period would be $1345.58.

To solve more questions on compound interest, visit the link -

brainly.com/question/30098550

#SPJ1

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