The ratio of boys to girls in math classes is 3.5. If there are 130 girls in these classes, how many boys must there be?

Answers

Answer 1

Answer:

Required Answer:-

The ratio of boys and girls =3:5

Let

Number of boys=3x

Number of girls =5x

According to the question Numbers of girls=130

[tex]{:}\longrightarrow[/tex][tex]\sf 5x=130 [/tex]

Now interchange both sides and get x

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {130}{5}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=26 [/tex]

Now

The number of boys=3x

=3×26=78

[tex]\therefore[/tex]Number of boys is 78.


Related Questions

IF THE SUM OF THREE CONSECUTIVE ODD NUMBERS IS 45, FIND THEM. (STEP BY STEP PLZ)​

Answers

45/3 =15 Once you know that you can work this out with odd or even numbers, as you could do + 1 -1 or +2-2. 15-2 =13 15+2=17 answer is 13 15 17
45/3 is 15 so you would use 15, 13, 17

Write the equation of a line that is perpendicular to y = -1 and that passes through the point (8,-4)

Answers

the answer is 17942920

IV. Describe the following rotations
PLS HELP ASAP

Answers

Answer:

90 degree rotation counterclockwise, or a 270 degree rotation clockwise.

Round 621.97 to tens place. What is It?

Answers

Answer:

622

Step-by-step explanation:

The 7 rounds up the .9, adding 1 to the ones place, making it 622

Answer:

620

Step-by-step explanation:

As they said TENS ( and not TENTHS ) place, the 1 ( in ones position) determines the answer hence 620.

whats 1 + 1 plz answer

Answers

Answer:

2

Step-by-step explanation:

Thanks for the points Kiddo

The answer is 2

Explain: add one plus the other one and that equals two

can some help me on these questions please!

Answers

Answer:

let y=the inner missing angle

y+x+31=180

y+(2x-8)=180

and combine the two

2x-8-x-31=0

x=39

Step-by-step explanation:


The top answer is right!

Given that y-2=6, find y+4​

Answers

[tex]\huge\red{\boxed{Answer}}[/tex]

Given:

y - 2 = 6

To find:

y + 4

Solution:

find y

⇛y - 2 = 6

⇛y = 6 +2

⇛y = 8

substitute 8 in place of y

⇛y + 4

⇛8 + 4

⇛12

12 is the answer

.

Sara lit a new candle and then recorded its height in inches every hour as (time, height). Her results were Syntax error.



Which statement is true?
The height of the candle decreases by 1.6 inches every hour, and its original height was 20 inches.
The height of the candle decreases by 20 inches every hour, and its original height was 1.6 inches.
The height of the candle decreases by 9.6 inches every hour, and its original height was 20 inches.
The height of the candle decreases by 1.6 inches every hour, and its original height was 18.4 inches.

Answers

Answer:

The height of the candle decreases by 1.6 inches every hour, and its original height was 20 inches.

Step-by-step explanation:

Enter the equation of the line in slope-intercept form.

The line parallel to y =
5
4
x + 8 that passes through (−8, 0).

The equation of the line that passes through (−8, 0) is y = ???

Answers

Answer:

typing this answer to get points hope u get ur answer soon :)

Step-by-step explanation:

i dont understand please answer seriously will give brainliest

Answers

8. Center

As the location of the center of the circle is (3, 3).

Therefore, the coordinates of the center are (3, 3)

9. Endpoints of a diameter

As we know that the diameter is the magnitude (often called the length) of the line through the center.

Please note that the diameter touches two points on the edge of the circle. Diameter is often called the longest possible chord.

From the diagram, it is clear that:

The points of the diameter are (6, 3) and (0, 3).

Also, observe the length of a diameter is 6 units.

10. A point of Tangency

We know that at the point of Tangency, the tangent to a circle will always be perpendicular to the radius.

From the diagram, it is clear that:

(6, 3) is the point of tangency. Here the tangent is perpendicular to the radius.

11. Endpoints of a chord that is not a diameter

A chord is basically a line that touches two points.

From the diagram, it is clear that:

The coordinates of the chord other than the diameter are (3, 0) and (0, 3).

12. Endpoints of a radius

We know that a radius is basically a straight line from the center of a circle to the circumference of a circle.

The length of a radius r = diamter length/2

From the diagram, it is clear that:

The coordinates of the endpoints of the radius are (3, 3) and (6, 3)

Please help me. Thanks! :)

Answers

Answer:

Required Answer:-R (-1,5)S (-3,1)T (-7,3)V (-5,7)

[tex]{:}\leadsto[/tex][tex]\sf RS=\sqrt {(-3-1)^2+(1-5)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {(-4)^2+(-4)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {16+16}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {32}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf RS=\sqrt{32}[/tex]

____________________

[tex]{:}\leadsto[/tex][tex]\sf ST=\sqrt {(-7-3)^2+(3-1)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {(-10)^2+(2)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {100+4}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf ST={\sqrt{104}}[/tex]

___________________

[tex]{:}\leadsto[/tex][tex]\sf TV=\sqrt {(-5-7)^2+(7-3)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt{(-12)^2+(4)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {144+16}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf TV=\sqrt {150}[/tex]

____________________

[tex]{:}\leadsto[/tex][tex]\sf RV=\sqrt {(-5-1)^2+(7-5)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt{(-6)^2+(2)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {36+4}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf RV=\sqrt {40}[/tex]

______________________

Perimeter =RS+ST+TV+RV

[tex]{:}\leadsto[/tex][tex]\sf \sqrt{32}+\sqrt {104}+\sqrt {150}+\sqrt {40}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf Perimeter =4\sqrt{20}[/tex]

HELPPP I SUCK AT MATH

Answers

I think the answer is 6

PLEASE HELP! WILL GIVE BRAINLIEST!

Answers

The answer is 50 square feet.

If anyone plays pokemon go put your code in your answer and I will add you

Answers

Answer:

My code issssssss 163759

Step-by-step explanation:

Answer:

go charizard

Step-by-step explanation:

Idk just answer for brainliest

Answers

Answer:

3

Step-by-step explanation:

That's the distance per minute

To make a quilt, a quilter is buying fabric in two colors, blue and green.

The quilter needs at least 9.5 yards of fabric in total.
The blue fabric costs $9 a yard.
The green fabric costs $13 a yard.
The quilter can spend up to $110 on fabric.
Let x represent the number of blue yards of fabric purchased and let y represent the number of green yards of fabric purchased.

Please solve the Inequalities.

Answers

Answer:

3.375yards of  blue fabric 6.125yards of  green fabric

Step-by-step explanation:

step one:

given data

blue fabric costs $9 a yard.

green fabric costs $13 a yard.

Let x represent the number of blue yards of fabric purchased and

let y represent the number of green yards of fabric purchased.

Step two:

The quilter needs at least 9.5 yards of fabric in total.

x+y>=9.5--------1

The quilter can spend up to $110 on fabric.

9x+13y<=110----2

from equation

x+y>=9.5

x=9.5-y

put x=9.5-y in equation 2 we have

9(9.5-y)+13y<=110----2

85.5-9y+13y=110

4y=110-85.5

4y=24.5

y=24.5/4

y=6.125

put y=6.125 in x=9.5-y to find x

x=9.5-6.125

x=3.375

Hence the quilt can purchase

3.375yards of  blue fabric

6.125yards of  green fabric

3.375 yards of blue fabric and 6.125 yards of green fabric was purchased.

Let x represent the number of blue yards of fabric purchased and let y represent the number of green yards of fabric purchased.

Hence:

x + y ≥ 9.5   (1)

The quilter can spend up to $110 on fabric. Hence:

9x + 13y ≤ 110    (2)

The solution to the inequality is:

x = 3.375, y = 6.125

3.375 yards of blue fabric and 6.125 yards of green fabric was purchased.

Find out more on inequality at: https://brainly.com/question/241541

A particle moves along a line so that its position at any time is t greater than or equal to 0 is given by s(t)=-t^2+t+2 where s is measured in meters and t is measured in seconds. A) what is the initial position of the particle? B) find the velocity of the particle at any time t. C) find the acceleration of the particle at any time t. D) find the speed of the particle at the moment when s(t)=0.

Answers

Answer:

A) The initial position of the particle is 2 meters.

B) The velocity of the particle at any time t is represented by [tex]v(t) =-2\cdot t +1[/tex].

C) The acceleration of the particle at any time t is represented by [tex]a(t) = -2[/tex].

D) The velocity of the particle at the moment when [tex]s(t) = 0\,m[/tex] is -2 meters per second.

Step-by-step explanation:

A) From statement we know that [tex]s(t) = -t^{2}+t+2[/tex], where [tex]t[/tex] is the time, measured in seconds, and [tex]s(t)[/tex] is the distance, measured in meters. The initial position of the particle is calculated by evaluating the function presented above at [tex]t=0\,s[/tex]. That is:

[tex]s(0) = -(0)^{2}+(0)+2[/tex]

[tex]s(0) = 2\,m[/tex]

The initial position of the particle is 2 meters.

B) According to the Theory on Kinematics, we see that velocity is the rate of change of position in time. In other words, we need to derive the equation once:

[tex]v(t) =-2\cdot t +1[/tex] (1)

Where [tex]v[/tex] is the velocity, measured in meters per second.

The velocity of the particle at any time t is represented by [tex]v(t) =-2\cdot t +1[/tex].

C) And the acceleration is the rate of change of velocity in time. In other words, we need to derive the equation above:

[tex]a(t) = -2[/tex] (2)

The acceleration of the particle at any time t is represented by [tex]a(t) = -2[/tex].

D) At first we solve the function position for [tex]s = 0[/tex], that is:

[tex]-t^{2}+t+2=0[/tex] (3)

[tex](t-2)\cdot (t+1)=0[/tex]

The only reasonable root of the polynomial is [tex]t = 2\,s[/tex].

And now we evaluated the velocity function at given result:

[tex]v(2) = -2\cdot (2) +2[/tex]

[tex]v(2) = -2\,\frac{m}{s}[/tex]

The velocity of the particle at the moment when [tex]s(t) = 0\,m[/tex] is -2 meters per second.

Find the area of the figure

Answers

Answer:

56ft

Step-by-step explanation:

A comparison of two quantities by divison

Answers

Honestly idek I just need points
X/y is the answer hope this helps

Last year Beth's annual salary was $38,350. This year she received a promotion and now earns $46,462 annually. She is paid biweekly.
a.) What was her biweekly salary last year?
b.) What is Beth’s biweekly salary this year?
c.) On a biweekly basis, how much more does Beth earn as a result of her promotion?

Answers

Answer:

Quite simple. There are 52 weeks in a year. She gets paid 26 times, every other week.

38,350 / 26 = her salary from last year per check.

46,462 / 26 = her new salary per check

(46,462 - 38,350) / 26 = the difference per week

a. last year Beth's biweekly salary was 1597.91 dollars.

b. This year Beth's biweekly salary is 1935.91 dollars.

c. On a biweekly basis she earns 338 dollars more now as a result of her promotion.

How to convert months into bi-weeks ?

One months contains 2 bi-weeks therefore to convert months into bi-weeks we have to multiply the given months by 2.

According to the given question

Last year Beth's annual salary was 38350 dollars.

∴ Her monthly salary was (38350/12) dollars.

= 3195.83 dollars.

She is being paid biweekly meaning twice a month in every two weeks interval.

∴ Her biweekly amount is

=(3195.83/2) dollars

= 1597.91 dollars. (a).

So, her salary last year was 1597.91 dollars biweekly.

This year she received a promotion and now earns 46462 dollars per year.

∴ Her biweekly salary is

= (46462/2×12) dollars.               ( as there is 2 bi-weeks in every months)

= 1935.91 dollars. (b).

As a result of her promotion she earns (1935.91 - 1597.91) dollars more as a result of her promotion.

= 338 dollars.

Learn more about These type of problems here :

https://brainly.com/question/13672307

#SPJ2

Please help me!
Simplify each ratio. Write the simplified version in the same form of the ratio.

3 to 6
5:20
18 to 22
1820
2555
6 to 42
18 to 10
12 to 4
16:8
24 to 16
18 to 36
54 to 9
81:27
72 to 9
1812

Answers

Answer:

1 to 2

1:4

9 to 11

?

?

1 to 7

9 to 5

3 to 1

2:1

3 to 2

1 to 2

6 to 1

3:1

8 to 1

?

1:2
1:4
9:11
9:10
5:11
1:7
9:5
3:1
2:1
3:2
1:2
7:1
3:1
8:1
3:2

THere are 7 people on the bus, and the bus picks up 4 additional people at each stop. How many stops will it take to have 31 people on the bus?

Answers

Answer:

6 stops.

Step-by-step explanation:

The answer is 6 stops, because 4 times 6 is 24 and 24 plus 7 is 31.

how many times larger is 0.00000600 than 0.00000008

Answers

Answer:

100

Step-by-step explanation:

Simplify
f(x) = x² + 4
g(x)= xº + 5x - 1
find
f(x)- g(x)

Answers

Simplified because I don’t know if x^o is the correct notation

(X^2 + 4) - (x^o + 5x - 1)
X^2 + 4 - x^o - 5x + 1

Then combine like terms

Please Help Me With This Please!​

Answers

Answer:

d:113 sq in

Step-by-step explanation:

Audrie's mom gave her $20.00 to buy school supplies. Audrie needs to buy 4 packs of index cards and some notebooks. If each pack of index cards costs $1.95 and each notebook costs $1.99, how many notebooks can Audrie buy using only the money her mom gave her?

Answers

Answer: 6 notebooks

Step-by-step explanation:

20=4*1.95+1.99n

n=6

Audrie can buy 6 notebooks

Z1 and Z2 are complementary. The mZ1 = 25°. What is the mZ2?​

Answers

Answer:

65°

Step-by-step explanation:

Complementary means that the two angles add to 90 degrees. Since we know the measure of one angle, we will subtract 25 from 90 to get 65 degrees for angle 2.

Mr. Pao wants to buy a refrigerator that costs $1,232. He can pay the total all at once,
or he can make a one-time payment of $450 plus a $140 payment each month for 6 months.
How much can he save by paying the total all at once?

Answers

450+140(6) = 1290
1290-1232 = he can save $58

Write an equation in slope-intercept form for the line with y-intercept 1 and slope 3.

Answers

Answer:

y= 3x + 1

Step-by-step explanation:

Answer:

y=3x+1

Step-by-step explanation:

Which of the following expressions is equal to -2 · -2 · -2 · -2 · -2 · -2? 6(-2) (-2)6 -26

Answers

Answer:

-2

Step-by-step explanation:

2x6= - 2

Answer:

(-2)6

Step-by-step explanation:

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