The sixth-grade chorus has a boy-to-girl ratio of 3:8. If the total number of chorus members was 11 last year and 33 this year, how many boys and girls were there for each of these two years?

Step-by-step explanation:

Area of rectangle =height×base

4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7

Answer:

So I= p x r/100 x t

= 500 x 5/100 x 3

= 25 x 3

$75 interest

Balnce will be $575

Answer:

70%

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

147/x * 210/100

147*100= 14700

14700/210 = 70

70%

Answer:

their corresponding side length are poprotional

please thanks me

Answer:

6 and 4

Is the answer

Answer:

4 + 29 ≥ 26.

Step-by-step explanation:

I'm assuming you want me to make an inequality with this, so I will do that. Since sum means to add, we write this: 4 + 29. At least can translate to greater than or equal to, we can write that symbol as ≥. Now, let's write the whole inequality, we can write it as 4 + 29 ≥ 26.

Answer:

$15 1/10

Step-by-step explanation:

Given that :

Total amount to spend = $30

Amount spent on Gift A = $9 1/4

Amount spent on Gift B = $5 4/5

Amount left to spend on gift C ;

$30 - (9 1/4 + 5 4/5)

$30 - (37/4 + 29/5)

$30 - (185 + 116)/20

$30 - 298/20

30/1 - 298/20

$(600 - 298) / 20

$302/20

$15 2/20

= $15 1/10

Answer:

u can make me branliyest then i will help u

Step-by-step explanation:

Answer:

Answer for the first part: x = 0 so f(x) = 4

Answer for the second part: f(-2) = 2

Step-by-step explanation:

In order to solve the first prat of the problem you will just have to find a point on the function that has a y coridnate of 4, and the x cordinate of the exactly the same point will be the answer to your question. So in our case there is only one point like that and it (0,4). So that means the value of x for whcih f(x) = 4 is x = 0.

Now in order to answer the second part of this problem you will just have to find on a function with the x coridnate being -2, and the y cordinate of the exactly the same point will be the answer. In our case there is only one point liket aht and it is the point (-2,2). So that means taht the answer to the second part of the problem is f(-2) = 2.

Answer:

42

Step-by-step explanation:

x/6=7

x=42

Answer:

42 should be the answer

Step-by-step explanation:

x ÷ 6 = 7

x ÷ 6 x 6 = 7 x 6

x = 42

Answer:

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Step-by-step explanation:

Given points are:

(-5,3) and (3,7)

The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.

First of all we have to find the slope and mid-point of given line

Here

(x1,y1) = (-5,3)

(x2,y2) = (3,7)

The slope will be:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]

The mid-point will be:

[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]

Let m1 be the slope of the perpendicular bisector

Then using, "Product of slopes of perpendicular lines is -1"

[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]

We have to find the equation of a line with slope -2 and passing through (-1,5)

The slope-intercept form is given by:

[tex]y = mx+b\\y = -2x+b[/tex]

Putting the point (-1,5) in the equation

[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]

The final equation is:

[tex]y = -2x+3[/tex]

Hence,

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Answer:

6√2 × 5√2 = 60

Step-by-step explanation:

6√2×5√2

6×5×√2×√2

30×(√2)². since √2²=2

30×2

60 Answer

HOPE IT HELPS YOU

MARK ME AS BRAINEST

Answer:

No

Step-by-step explanation:

The Pythagoras Theorem:

the base squared and height squared added is equal to the hypotenuse squared.

so

(x+6)² + (x+3)²= (x+9)²

x²+36+12x+x²+9+6x = (x+9)²

2x²+45+18x=x²+81+18x

x²=36

x=√36

X= 6

now

(x+6)= 12

(x+3)=9

(x+9)=15

haha sorry correct it pls

Answer:

250 pizzas

Step-by-step explanation:

We can use the formula 50 = 20/100x. We multiply both sides by 100 to get 5000 = 20x. Now, we divide both sides by 20 to get 250 = x. That means 250 pizzas were made last week.

Answer:

The submarine gains 120 feet of elevation per minute.

Step-by-step explanation:

Answer:

60 goody bags

Step-by-step explanation:

1 kg = 1000 g

6.2 kg = 6,200 g

Empty box = 200 g

Box + goody bags = 6,200 g

Weight of Goody bags = Box + goody bags - empty box

= 6,200g - 200g

= 6,000 grams

Each goody bag = 100 g

how many goody bags are inside the box

Number of goody bag in the box = total weight of goody bag / weight of each goody bag

= 6,000 grams / 100 grams

= 60 goody bags

There are 60 goody bags in the box

Answer: x = 13

Step-by-step explanation:

To find the value of x, you have to find ∠QRP

∠QRP + ∠QRS = 180

∠QRP + 95 = 180

Subtract 95 from both sides

∠QRP = 85

∠RQP + ∠QPR + ∠QRP = 180   Definition of triangle

(4x + 3) + (3x + 1) + 85 = 180

Subtract 85 from both sides

(4x + 3) + (3x + 1) = 95

7x + 4 = 95

Subtract 4 from both sides

7x = 91

Divide 7 from both sides

x = 13

Answer:

506

Step-by-step explanation:

To find a percent answer is easy, just do this:

Enter your base number here: 460

Enter your percent here: 110%

460 x (convert 110% to a decimal) 1.1 = 506

Your welcome =)

Answer:

The answer is 506

Step-by-step explanation:

Answer: =17x

Step-by-step explanation: hope this help, hope you understand it too.

Let's simplify step-by-step.

2x+5x+10x

Combine Like Terms:

=2x+5x+10x

=(2x+5x+10x)

=17x

Answer:

$4500

Step-by-step explanation:

Simple Interest formula = Principal × Rate × Time

Let the amount of the money invested at 8% Interest = x

Hence:

$5000 × 6% × 1 + x × 8% × 1 = $660

$300 + 0.08x = $660

0.08x = $660 - $300

0.08x = $360

x = $360/0.08

x = $4500

Therefore , the amount that must be invested at 8% interest is $4500

Answer:

x=5 y=-6

Step-by-step explanation:

6x + 3y = 12  , 4x + y = 14

4x*3+y*3=14*3

12x+3y=42 , 6x+3y=12

(12x-6x)+(3y-3y)=30

6x=30, x=5

4*5 + y = 14

y=-6

Answer:

V=706.85

Step-by-step explanation:

Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.

Formula: V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h ---> V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex]([tex]5^{2}[/tex])(27)

And put the plugged in formula in your calculator and you'll find the answer!

V=706.85

I hope this helped.

Answer:

30 ounces of butter

25 ounces of sugar

35 ounces of flour

15 eggs

10 tbps of baking powder

Step-by-step explanation:

All you do is multiple each quantity by 5 I think

we are learning about this in school but check the web to see if it is correct

Answer: it is A

Step-by-step explanation:

it is 6xy^2

Answer:a

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = ²/₅x + 1    ⇒     m₁ =  ²/₅

²/₅m₂ = -1        ⇒   m₂ = -⁵/₂

So, any line with slope m =  -⁵/₂ will be perpendicular to y = ²/₅x + 1  

Answer: 0.024

Step-by-step explanation:

Answer:

That equals -0.024 Step-by-step explanation:

Answer: Choice D) [tex]x = a\left(1-\frac{y}{b}\right)[/tex]

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Work Shown:

[tex]\frac{x}{a}+\frac{y}{b} = 1\\\\\frac{x}{a} = 1-\frac{y}{b}\\\\x = a\left(1-\frac{y}{b}\right)\\\\[/tex]

Explanation:

First I subtracted y/b from both sides. Then I multiplied both sides by 'a' to fully isolate x. You can optionally distribute the 'a' through to each term inside the parenthesis, but your teacher has chosen not to do this.