The ratio of girls to boys in an Algebra class is 6 to 7. If there are 18 girls, how many boys are there?

Answers

Answer 1

Answer:

21 boys

Step-by-step explanation:

 Girls            Boys

     6                  7            <= reflects the 6:7 ratio mentioned in the problem

----------   =    ----------

     18                 x

Cross multiply to determine x:  

6x = 7(18), or x = 7(3), or x = 21

There are 21 boys when we have 18 girls.


Related Questions

units needed 60 unit per case 14

Answers

Answer:

5 cases

Step-by-step explanation:

you'll need at least five cases to fulfill the requirement of 60

Answer:

5 cases are needed

Step-by-step explanation:


What is the slope of the equation Y = 5/4x - 7/5 ?

-7

-7/4

5/4

5

Answers

Answer:

The slope is 5/4

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 5/4x - 7/5

The slope is 5/4 and the y intercept is -7/5

Monique says that the sine of angle A is 5/13. Her teacher marks her wrong, but sometimes Monique’s teacher makes mistakes when grading tests. Is Monique’s answer actually wrong?

Answers

Answer:

yes because

Step-by-step explanation:

this point, we pause to see if it makes sense that we actually have two viable cases to consider. As we have discussed, both candidates for are ‘compatible’ with the given angle-side pair ( ;a) = (30 ;3) in that both choices for can t in a triangle with and both have a sine of 2 3. The only other given piece of information is that c= 4 units.

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. F(x, y) = (2x − 7y)i + (−7x + 8y − 6)j

Answers

Answer: f = x^2-7yx+4y^2-6y

Step-by-step explanation:

A vector field is conservative if the work done by that vector field around any loop is 0 or the end points only matter when calculating the work done, not the path in between (think of gravity). The curl(F) must equal 0.

curl(F) = ∇ x F =0

= det( [tex]\left[\begin{array}{ccc}\frac{d}{dx} &\frac{d}{dy} \\(2x-2y)&(-7x+8y-6)\end{array}\right][/tex] ) (***partial derv)

-7 - (-7) = 0

Yes, it is conservative, which means we can find the potentional energy function by turning the vector field into the gradient of scalar function.

[tex]f_x=2x-7y\\f_1=x^2-7yx+C(y)\\f_1y=-7x +C'(y)\\\\C'(y)=8y-6\\C(y)=4y^2-6y\\\\f=x^2-7yx+4y^2-6y\\[/tex]

3. What is the coefficient in the expression: 94a+2?

Answers

Answer:

The coefficient would be 94

Step-by-step explanation:

A coefficient is the number used to multiply the variable! Hope this helps!


What is the distance between -12 and - 7 on a number
line?

Answers

-6 :) hope this helped!

The distance between the points A ( -12 ) and B ( -7 ) on the number line is given by distance d = -5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first point be A ( x₁ )

The value of A ( x₁ ) = A ( -12 )

Let the second point be B ( x₂ )

The value of B ( x₂ ) = B ( -7 )

Let the distance between the two points on the number line be = D

Now , the equation will be

The distance between the points A and B is calculated by

The distance D = B - A

Substituting the values in the equation , we get

The distance D = -12 - ( -7 )

Distance D = -12 + 7

Distance D = -5

Therefore , the value of D is -5

Hence , The distance between the points A ( -12 ) and B ( -7 ) on the number line is given by distance d = -5

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Helena builds a shed in her backyard. There is a larger square section for large​ tools, like her lawn​ mower, and a smaller square section for small tools. What is the length of the entire​ shed? What type of number is the​ length? List as many types of numbers for the length as are possible.

Answers

Answer:

Step-by-step explanation:

a) From the image attached, the area of the small section is 16ft² and the area of the large  section is 50 ft². The area of a square = length × length = length².

For the small section: Area = length²

16 = length²

length = √16 = 4 ft

For the large section: Area = length²

50 = length²

length = √50

The length of entire shed = length of small area + length of large area = 4 + √50

The length of entire shed = 4 + √50

b) All square root of integers other than perfect squares are irrational numbers , hence 4 + √50 is an irrational number. All numbers belongs to the set of real numbers. Therefore  4 + √50 is an irrational number and real number

What is the direction and strength of the association between the variables?


A. strong positive



B. strong negative



C. weak positive



D. weak negative

Answers

Answer:

Strong Negative

Step-by-step explanation:

Took the test and know this is the right answer.

The direction and strength of the association between the variables is  strong negative.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The relationship between the variable X and Y plotted on the graph depicts a strong negative association between the two variables.

The direction of the trend on a linear plot gives an information about the direction of the slope of the graph, the graph slopes downwards as variable X increases, hence we have a negative relationship between X and Y

The trend produced by the graph is straight forward with points close to one another, hence forming a well - defined pattern. These depicts a Strong association between the variables.

When the trend isn't clearly defined and obvious, the relationship is weak.

Hence, the direction and strength of the association between the variables is strong negative.

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What is the equation of the line that passes through the point (5,4) and has a slope of 6/5

Answers

Answer:

y = 6/5x -2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

y = 6/5 x +b

We have a point on a line

4 = 6/5( 5) +b

4 = 6+b

Subtract 6 from each side

4-6 = 6+b-6

-2 = b

The equation is y = 6/5x -2

GCF of 12z3, 45z2, and 18z5.

Answers

Answer:

  3z^2

Step-by-step explanation:

Factors of the different terms are ...

  12z^3 = 2·2·3·z·z·z

  45z^2 = 3·3·5·z·z

  18z^5 = 2·3·3·z·z·z·z·z

The common factors are 3 and z·z.

The greatest common factor is 3z^2.

To help solve the trigonometric inequality sec(x/3)+4>2-sec(x/3) which two equations could you graph


A.y=sec(x/3) and y =-2.

b.y=sec(x/3) and y=-1.

C.y=sec(x/3) and y=1

D.y=sec(x/3) and y=2

Answers

Answer:

b. y=sec(x/3) and y=-1

Step-by-step explanation:

sec(x/3) + 4 > 2 − sec(x/3)

2 sec(x/3) > -2

sec(x/3) > -1

Graph y = sec(x/3) and y = -1.

Is 1000/1=100 standard form? If not what is it’s standard form

Answers

Answer:

  1000

Step-by-step explanation:

1000/1 = 1000

Multiplying or dividing any number by 1 does not change its value.

__

In the US, "standard form" is the number written in the usual way: digits to the left and/or right of a decimal point, with zeros as placeholders where required. (If there is no fractional part, the decimal point is optional.*)

In the UK, "standard form" is what is called "scientific notation" in the US. There is one digit to the left of the decimal point, and the remaining significant digits are to the right of the decimal point. The number is multiplied by ten to the power corresponding to the place value of the most significant digit. In this "standard form", 1000 = 1.×10³.

_____

* When you're concerned about significant digits, the presence of a decimal point will indicate any zeros immediately to its left are significant. That is, 20 has 1 significant digit; 20. has 2 significant digits. The zero is indicated as being significant by the presence of the decimal point.

a. 5(6 + 7) =
Distributive property

Answers

Answer:

65

Step-by-step explanation:

5(6 + 7)

5 • 6 = 30

5 • 7 = 35

30 + 35 = 65

5 times 6 which equals 30 then 5 times 7 which equals 35 you add that and get 65

20 POINTSS To whom ever can answer this

Answers

Answer:

[tex]-3/13[/tex]

Step-by-step explanation:

So we have the expression:

[tex]\frac{y^3+\sqrt{x-2}}{|4x-y|}[/tex]

And we want to evaluate it for x=6 and y=-2.

Thus, substitute:

[tex]=\frac{(-2)^3+\sqrt{(6)-2}}{|4(6)-(-2)|}[/tex]

Let's do the numerator first:

[tex](-2)^3+\sqrt{6-2}[/tex]

Cube the first term and subtract under the radical:

[tex]=-8+\sqrt4[/tex]

Simplify:

[tex]=-8+2[/tex]

Add:

[tex]=-6[/tex]

Now, do the denominator:

[tex]|4(6)-(-2)|[/tex]

Multiply:

[tex]=|24-(-2)|[/tex]

Simplify and add:

[tex]=|24+2|\\=|26|[/tex]

Remove the absolute value bars:

[tex]=26[/tex]

So, together:

[tex]=\frac{(-2)^3+\sqrt{(6)-2}}{|4(6)-(-2)|}\\=-6/26[/tex]

Reduce:

[tex]=-3/13[/tex]

And that's our answer: :)

Solve the equation. Check your answer. 17 = 4x + 3 = 2x (Simplify your answer.​

Answers

Answer:

7/2

Step-by-step explanation:

17=4x+3

4x=17-3

4x=14

x=14/4

x=7/2

Gin Rummy and are holding 10 cards in your hand from a standarddeck of 52 cards. Find the probability t

Answers

Here is the correct question

Gin Rummy and are holding 10 cards in your hand from a standard deck of 52 cards.

a) How many ways can you select three kings and four 6's from the deck, the remaining cards not kings or 6's

b) Find the probability that three kings and four 6's are being held by you from the deck.

Answer:

a) 52976

b) [tex]\mathbf{3.34866744 \times 10^{-6}}[/tex]

Step-by-step explanation:

So from the information above,

no of ways three kings can be selected and four 6's from the deck without the remaining cards being kings or 6's can be expressed as:

no of ways to select 3 kings from 4 kings is [tex](^4_3)[/tex]

no of ways to select 4 6's from (4 6's) is [tex](^4_4)[/tex]

no of ways to select the remaining 3 cards from (52 - 4 - 4) = 44 cards is [tex](^{44}_3)[/tex]

Mathematically, multiplying the three together we have:

[tex]= (^4_3) (^4_4) (^{44}_3)[/tex]

[tex]= \dfrac{4!}{3!(4-3)!} \times \dfrac{4!}{4!(4-4)!} \times \dfrac{44!}{3!(44-3)!}[/tex]

[tex]= 4 \times 1 \times 13244[/tex]

= 52976

To find the probability that you are holding three kings and four 6's from the deck, the remaining cards not kings or 6's can be calculated as follows;

To do this, we need to first know the no of ways we can  select 10 cards out of the pack of 52 cards

i.e

[tex](^{52}_{10})[/tex]

= [tex]\dfrac{52!}{10!(52-10)!}[/tex]

= [tex]\dfrac{52!}{10!(42)!}[/tex]

= 1.58200242 × 10¹⁰

Now, to find the  probability that you are holding three kings and four 6's from the deck, the remaining cards not kings or 6's :

we will need to divide the number of ways we can select three kings and four 6's from the deck by the no of ways we can select 10 cards out of the pack of 52 cards.

Mathematically; we have,

[tex]=\dfrac{52976}{1.58200242 \times 10^{10}}[/tex]

= [tex]\mathbf{3.34866744 \times 10^{-6}}[/tex]

Shauna saw 30 fish. If the number of fish she saw was 6 more than twice the number of clams, which equation could she use to find x, the number of clams?

Answers

Answer:

2x + 6 = 30

hope this helps

Formulas HW for algebra. First correct answer gets a heart and 5 stars.

Answers

Answer:

P=-w/m +s

Step-by-step explanation:

What is 50% MORE than $35?

Answers

Answer:

Step-by-step explanation:

f 35 = 100 % as a whole number then 50% = 17.5

50 % more than 35 must be 35 + 17.5 = 52.5

Answer:

Hey!

Your answer is 52.5

Step-by-step explanation:

50% x 35=

(50/100) x 35=

(50 x 35) / 100=

1750 / 100 = 17.50

NOW...

35+17.5=52.5

ANSWER: 52.5

The floor of a swimming pool is covered in 525 blue, 300 green and 75 white tiles. What is the ratio of blue to white tiles?

What is the ratio of the blue and white tiles

Answers

For every 7 blue tiles there is 1 white tile

Aka 7:1

Smaller p-values indicate more evidence in support of the: A. the reduction of variance B. null hypothesis C. quality of the researcher D. alternative hypothesis

Answers

Answer:

D

Step-by-step explanation:

Smaller p values that there is evidence to show that the alternate hypothesis should be accepted. The smaller the p value, the more evidence there is that we are not to accept the null hypothesis. The p value during a hypothesis yet, tells us how significant our result is. It gives a measurement of how strong the evidence is, against the null hypothesis.

HELP ASAP!!! ALGEBRA 2 I NEED HELP!!! WILL MARK BRAINLIEST

Answers

Answer:

Second option.

Step-by-step explanation:

In a mathematical sense, all real values of x are possible, as no real values of x will make it undefined.

However, in a reasonable sense, the length and width of a rectangle should be positive, so 0.5x -2 > 0.

Therefore, in a reasonable sense, x > 4.

Linear Algebra: Permutation Matrices Let M be the matrix {{0,0,0,1,0}, {0,0,1,0,0}, {0,1,0,0,0}, {0,0,0,0,1}{1,0,0,0,0}}. What is the smallest positive integer n such that M^n is the identity matrix? a. 2. b. 3. c. 4.d. 6.

Answers

Multiplying M by any matrix A would return new matrix, B, in which

• the 1st row of B is equal to the 4th row of A,

• the 2nd row of B is equal to the 3rd row of A,

• the 3rd row of B is equal to the 2nd row of A,

• the 4th row of B is equal to the 5th row of A, and

• the 5th row of B is equal to the 1st row of A.

The pattern here is

1 => 4 => 5 => 1

2 => 3 => 2

Let {4, 3, 2, 5, 1} denote the matrix M, where each number refers to the row of the identity matrix, I.

Using this notation, the pattern above gives

M² = {5, 2, 3, 1, 4}

M³ = {1, 3, 2, 4, 5}

M⁴ = {4, 2, 3, 5, 1}

M⁵ = {5, 3, 2, 1, 4}

M⁶ = {1, 2, 3, 4, 5}

so that n = 6.

(Notice that the first cycle has length 3 and the second one has length 2; the minimum n needed here is then LCM(2, 3) = 6.)

Arrange the following numbers from smallest to largest: 3.04, 3
10
3.024

Answers

Answer:

3, 3.024, 3.04, 10

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

Use the distributive property to remove the parentheses.
7c^2(9c^5 +10c)
Simplify your answer as much as possible.

Answers

Answer:

63c^7 + 70c^3.

Step-by-step explanation:

7c^2(9c^5 + 10c)

= 7c^2 * 9c^5 + 7c^2 * 10c

= 63c^7 + 70c^3.

together Charlotte and vinny have 20 marbles. charlotte has 4 times as many as vinny. how many marbles does Charlotte have, this is an algebra 2 question.

Answers

Answer:

[tex]\Huge \boxed{\mathrm{16 \ marbles}}[/tex]

Step-by-step explanation:

Let the number of marbles that Charlotte has be x.

Let the number of marbles that Vinny has be y.

[tex]x+y=20[/tex]

[tex]x=4y[/tex]

Substitute for x.

[tex]4y+y=20[/tex]

Combine like terms.

[tex]5y=20[/tex]

Divide both sides by 5.

[tex]y=4[/tex]

Vinny has 4 marbles.

Let y = 4.

[tex]x=4(4) \\ \\ \\ x=16[/tex]

Charlotte has 16 marbles.

Answer:

x+y=20

x=4yx=4y

Substitute the given equation for x.

4y+y=20

4y+y=20

Collect all like terms.

5y=20

Divide both sides by 5.

y=4y=4

Vinny has 4 marbles.

Let y = 4.

x=4(4)

x=16

Factorize the Expression 81w^2 - 36wz + 4z^2

Answers

Answer:

( 9w - 2z)^2

Step-by-step explanation:

81w^2 - 36wz + 4z^2

Rewriting as

(9w)^2 - 2 * 9 w 2z + (2z)^2

We  recognize that this is a perfect square binomial

a^2 -2ab + b^2 is a perfect square binomial because it factors to (a - b)^2

let a = 9w  b = 2z

81w^2 - 36wz + 4z^2 = ( 9w - 2z)^2

URGENT HELP PLZ

What is an equation of the line that passes through the points (-3,3) and (-6, 2)?
Put your answer in fully reduced form.

Answers

Answer:

y = 1/3x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Find slope m

m = (2 - 3)/(-6 - -3)

m = -1/(-6 + 3)

m = -1/-3

m = 1/3

y = 1/3x + b

Step 2: Find y-intercept b (plug in coordinates)

3 = 1/3(-3) + b

3 = -1 + b

b = 4

Step 3: Rewrite linear equation

y = 1/3x + 4

solve with interval notation Solve: 5 | x − 2 | + 4 > 8

Answers

Answer:

x<6/5, x>14/5

Step-by-step explanation:

Steps

$5\left|x-2\right|+4>8$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$

$5\left|x-2\right|+4-4>8-4$

$\mathrm{Simplify}$

$5\left|x-2\right|>4$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$

$\mathrm{Simplify}$

$\left|x-2\right|>\frac{4}{5}$

$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$

$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$

Show Steps

$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$

Show Steps

$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$

$\mathrm{Combine\:the\:intervals}$

$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$

how do i make 4y squared -3=13 into a verbal expression (couldnt find the subscript so i could put an actual 2 for squared)

Answers

Answer:

"Subtracting 3 from four times the square of an unknown number gives 13"

Step-by-step explanation:

The expression

[tex]4\,y^2-3 = 13[/tex]

in word form could be:

"subtracting 3 from four times the square of an unknown number gives 13"

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