there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus

Answer:

infinitely many solutions

Step-by-step explanation:

we have: x+6y= 3

5x+30y=15

where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)

Thus, the system has infinitely many solutions.

another approach:

convert to slope-intercept form

y= -1/6x + 1/2

y= -1/6x + 1/2

thus, the system has infinitely many solutions.

(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)

Answer:

B

Step-by-step explanation:

The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept

Answer:

A.

Step-by-step explanation:

It starts from 32 on the y-axis and goes up 4 times on x-axis.

Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d

Answer:

No Y-Intercept

Step-by-step explanation:

The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.

Answer:

Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)

Cherie owes the employment agency amount of $1,320.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.

Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.

Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.

So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.

Therefore, she owes the employment agency $1,320.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ6

Answer:

Step-by-step explanation:

if you need to find g,

add 5 on both sides

g=-2+5

g=3

Answer:

They are the same line.

Step-by-step explanation:

y = -1/3x - 2

-x - 3y = 6

First, we need both lines to follow the equation of y = mx + b so that we can graph them. We already have one equation in that form (the one from the graph given), so we can ignore that for now.

Next, we need to solve -x - 3y = 6. Let's first move the x to the other side of the equal sign.

-3y = x + 6

Now, since we have a similar equation to what we need, we just need to divide the y by the given number in front (or -3). But that also means that we must divide the other side by the same amount (or each variable).

-3y = x + 6. -> y = -1/3x - 2

So, your final equation for -x - 3y = 6 should be;

y = -1/3x -2

Bringing down the other equation, we get:

y = -1/3x - 2 and y = -1/3x - 2

Making both equal to each other (they cancel each other out).

Hope this helps!

(And sorry that this is a long explanation)

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A is the variable.

Answer:

285,600

Step-by-step explanation:

I calculated it I am pretty sure I am correct

Answer:

110

Step-by-step explanation:

I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.

The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w  

A mathematical expression is a combination of numbers, symbols, and operators that represents a mathematical relationship or calculation. It is written in a way that follows specific rules of mathematical notation, such as using parentheses to indicate the order of operations.

Here we have

Gavin is saving up to buy a new phone.

He already has $100 and can save an additional $7 per week using money from his after-school job

Let us assume that he worked for 'w' weeks  

The amount earned for 'w' weeks = 100 + 7w

Hence, the required expression is 100 + 7w  

The total amount saved in 10 weeks = 100 + 7(10) = $ 170

Therefore,

The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w  

Learn more about Expression at

https://brainly.com/question/21394250

#SPJ1

Answer:

The distance covered by a train in 1 minute = 1.25 kilometers

The distance covered by a train in 100 minutes = 125 kilometers

Step-by-step explanation:

The distance covered = 7.5 kilometers

Time taken = 6 minutes

Calculating unit rate

unit rate = 7.5 kilometers / 6 minutes

              = 1.25 kilometers per minute

Thus,

The distance covered by a train in 1 minute = 1.25 kilometers

and

The distance covered by a train in 100 minutes = 1.25 × 100

                                                                                = 125 kilometers

Answer:

about 11.5

Step-by-step explanation: i think this is right

Answer:

11.538%

Step-by-step explanation:

290 - 260 /260  x 100% = 11.538

Answer:

yes

Step-by-step explanation:

"We can think of an arithmetic sequence as a function on the domain of the natural numbers; it is a linear function because it has a constant rate of change."

Answer:

10. y = 49, x = 15

11. y = 4, x = 61

Answer:

10 5

Step-by-step explanation:

Answer:  Yes

Step-by-step explanation:

First find the unit rate by find the cost per box.

To find the cost per post you will divide the cost by the number of boxes.

5/ 2 = 2.5

7.50/ 3  = 2.5  

2.5  is indeed equal to 2.5 so they are equivalent.

Answer:

the answer is C

Step-by-step explanation:

hope this helps you

.82×23.7=19.434

Answer:

D

Step-by-step explanation:

step 1: Simplify 82/100 to its simplest form to by two to get 41/50

Step 2: multiply 41 by 23.7

41×23.7= 1971.7

Step 3: Divide 1971.7÷50=19.434

to the nearest hundredths =

19.4

Answer:

This is a division problem.

Divide 18 by different numbers until you get 3.

The quotient of eighteen and six is three.

Step-by-step explanation:

Answer:

[tex]x=7,\\y=6[/tex]

Step-by-step explanation:

The segment [tex]UV[/tex]consists of [tex]UZ[/tex] and [tex]VZ[/tex]. Therefore, we can write the following equation:

[tex]3y-5+2y+2=27,\\5y-3=27,\\5y=30,\\y=\fbox{$6$}[/tex].

Since [tex]UV[/tex] bisects [tex]TW[/tex], [tex]TZ\cong WZ[/tex].

Therefore,

[tex]3x+3=3y+6,\\3x+3=3(6)+6,\\3x+3=18+6,\\3x+3=24,\\3x=21,\\x=\fbox{$7$}[/tex]

Answer:

104 = 10 × 10 × 10 × 10 = 10,000

Step-by-step explanation:

In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"

Answer:

well quite easily just doing the math

Step-by-step explanation:

Ta -Da

1 1/2 cups of flour = 12/8 cups of flour

2 2/3 cups of oatmeal = 2 2/3 cups of oatmeal

1 cup sugar = 3/3 or 8/8 cups of sugar

1/2 cup of brown sugar = 4/8 cups of brown sugar

Answer:88

Step-by-step explanation:

Answer:

88?

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11

Answer:

A is the answer

Step-by-step explanation:

I think