40)
Linda was making chocolate truffles for the first day of
school.
The recipe for 20 chocolate truffles is:
I cup of cream
2 cups of dark chocolate
She noticed this will not be enough truffles for the 42
sure that all
students in each homeroom next year. To be sure that all
students receive a truffle, Linda must adjust her recipe.
a.
Complete the recipe for 42 truffles
cups of cream
- cups of dark Chocolate
Work:

Answer:

Multiply c and 8

Multiply c and 1

The c just gets copied along.

The answer is c

c

8*c evaluates to 8c

Because of the minus sign

8c becomes - 8c

The answer is -8c

Multiply c and 8

Multiply c and 1

The c just gets copied along.

The answer is c

c

8*c evaluates to 8c

-8*c+8*c evaluates to 0c

-8*c+8*c-12 evaluates to -12

The final answer is

-12

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

x = -2 or x = 7

Step-by-step explanation:

x - 7 = 0 or x + 2 = 0

x = 7 or x = - 2

Answer:

  the roots are x = -2, +7

Step-by-step explanation:

The roots are the values of x that make one of the factors be zero. Whenever a factor is zero, the product is zero.

To make x+2 = 0, x = -2.

To make x-7 = 0, x = 7.

Answer:

False

Step-by-step explanation:

Let's check whether (-3, 4) satisfies the given inequality 2x + y > -2.

Replacing x with -3 and y with 4 yields                          2(-3) + (4) > - 2

or:

-6 + 4 > -2, or -2 > -2.  This end result is false, and so (-3, 4) is NOT a solution of the given inequality 2x + y > -2.

Answer:false

Step-by-step explanation:

Answer:

[tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]

Step-by-step explanation:

We have the following expression: [tex]4m^{2}n = 49[/tex] and we need to solve it for 'm'. Above the steps:

[tex]4m^{2}n = 49[/tex] ⇒ [tex]m^{2} = \frac{49}{4n}[/tex]

Taking the square rooth of both sides:

[tex]m = \sqrt{\frac{49}{4n}}[/tex] ⇒ [tex]m = \frac{7}{2\sqrt{n}}[/tex]

⇒ [tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]

Then, the result is:  [tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]

Answer:

x = -8

Step-by-step explanation:

g(x) = 8x + 2

given: g(x) = 8x + 2 = -62

8x = -62 -2

8x = -64

x = -8

Answer:

Step-by-step explanation:

Just did it on Acellus. " 220 " is the answer

12/3(12-3)

12/3•9

12•11•10•9 / 3•9 *now you cancel both 9's*

12•11•10 / 3

12•11•10 / 3•2•1

1320/6

220

Answer:

No solution

Step-by-step explanation:

Suppose the number is [tex]y[/tex] so ([tex]y = ...[/tex]).

Now [tex]y[/tex] is equal to twice a smaller number plus 3. Assuming the smaller number as [tex]x[/tex], we can write it as:

[tex]y = 2x + 3[/tex] --- (1)

Also, the same number [tex]y[/tex] is equal to twice the sum of smaller number and 1:

[tex]y=2x+1[/tex] --- (2)

Now for both of these equations, we need to find a point which satisfies them.

For example, for equation 1, take [tex]y=5[/tex] which means [tex]2(1) + 3[/tex] so the solution will be (1, 3).

Substituting the same value of y here in equation 2:

[tex]5=2(2)+1[/tex] so the solution for this will be (2, 5).

It means that there is no such point which can satisfy both the equations. Hence, there is no solution possible for these two equations.

Answer: The system of equations HAS NO SOLUTION.

Step-by-step explanation:

Let be "y" the first number and "x" the smaller number.

Since the first number  is equal to twice a smaller number plus 3, then:

[tex]y=2x+3[/tex]  (Equation 1)

Since the same number is equal to twice the sum of the smaller number and 1, then:

[tex]y=2(x+1)[/tex]

[tex]y=2x+2[/tex]  (Equation 2)

We need to remember that the equation of the line in Slope-Intercept form is:

 [tex]y=mx+b[/tex]  

Where "m" is the slope and "b" is the y-intercept.

You can observe in the Equation 1 that the slope of this line is 2 and you can notice in the Equation 2 that the slope of that line is also 2. Therefore, the lines are parallel and the system of equations has no solution.

Answer:

D. 49 sq. units

Step-by-step explanation:

Find the area of the triangle up top first then multiply it by 4 to get the area of the rhombus up top:

4 x 3 = 12  

12/2 = 6

6 x 4 = 24

now solve the lower square:

5 x 5 = 25

now add the two together:

25 + 24 = 49

Answer:

Correct option is:

D. 49 sq. units

Step-by-step explanation:

The irregular polygon shown is the combination of rhombus and square

The lower part of the polygon is square with side 5 units

and the upper part of the polygon with rhombus with diagonal (4+4)=8 and (3+3)=6 units

Area of irregular polygon=Area of square+Area of rhombus

                                         = side²+Product of diagonals/2

                                         = 5²+(8×6)/2  sq. units

                                         = (25+24) sq. units

                                         = 49 sq. units

Hence, Correct option is:

D. 49 sq. units

Answer:  The correct answer is:  " 64 " .

_____________________________________________

Step-by-step explanation:

______________________________________________

Assume the problem is meant to ask us to find the value of:

         4 raised to the 3rd (third) power ;

______________________________________________

  That is:    4^(3) ;  or,  " 4 ³ " .

______________________________________________

      The power of  " 3 " tells us to multiply the "base number" ; which is "4" ;

by itself ;  "3 (three) times" .  

    The number, " 3 " ;  is the "power" ;  or "exponent" ; or "exponential value" — in this expression.

______________________________________________

As such:  " 4 ³ = 4 * 4 * 4 =  16 * 4 = 64 " .

______________________________________________

The answer is:  " 64 " .

______________________________________________

Hope this answer — and explanation is helpful to you!

    WIshing you well in your academic endeavors

               — and within the "Brainly" community!

______________________________________________

Answer:

∞ or undefined

Step-by-step explanation:

The slope of a line that passes through two points A(x₁,y₁) and B( x₂,y₂) is found by finding the ratio of the change in y (y₂-y₁) to the change in x (x₂-x₁)

Thus the provided line has a slope of:

(13-⁻8)/(4-4)= 21/0

= ∞

This is a vertically perpendicular line through x=4

Answer:

Step-by-step explanation:

area= base ×altitude

=9×4

=36 square units

Answer:

I Do RSM as well.

Step-by-step explanation:

The answer is going to be the base times the altitude. 9x4=36 sq units

Answer:

2nd option

Step-by-step explanation:

Simplify first what is in the parenthesis before distributing the exponent outside would help.

Remember that negative exponents simply means that their on the wrong side of the fraction. So if you find a variable with a negative exponent as a numerator, you bring them down and when it is found as a denominator, you bring them up.

Also when you distribute your exponents, you always multiply it to each exponent inside the parenthesis.

Look at the attached picture for the solution

Answer:

[tex] \frac { 1 } { x ^ 2 1 y ^ { 1 2 } }[/tex]

Step-by-step explanation:

We are given the following expression and we are to simplify it:

[tex] [ \frac { ( x ^ { - 3 } ) ( y ^ 2 ) } { ( x ^ 4 ) ( y ^ 6 ) } ] ^ 3[/tex]

[tex]\frac{x^{-3\times 3}.y^{2\times 3}}{x^{4\times 3}.y^{6\times3} }[/tex]

[tex]\frac{x^{-9}y^6}{x^{12}y^{18}}[/tex]

[tex]x^{-9-12}.y^{6-12}[/tex]

[tex]x^-21.y^{-12}[/tex]

This can also be written as:

[tex]\frac{1}{x^21y^{12}}[/tex]

Answer: $1349

Step-by-step explanation:

SI = prt / 100

= (950 * 7 * 6) / 100

= 399

Amount in the account

950 + 399 = 1349

We know that the equation is y = 50x and that x is the hours, since we need to know how many miles Gary will travel in 8 hrs plug 8 in for x and solve.

y = 50*8

y = 400

In 8 hrs Gary will travel 400 mi

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Step-by-step explanation:

Look at the picture.

To find the Median, place the numbers in value order and find the middle number (right picture).

Median = $39,000

To find the two numbers, we can set up a system of equations using the given information. Solving this system of equations, we find that the two numbers are 2 and 2, or -2 and -2.

To solve this problem, we can use the given information to set up a system of equations. Let's assume the two numbers are x and y. From the problem, we know that

[tex]x^2 + y^2[/tex] = 8 and xy = 4.

We can solve this system of equations by substituting the value of y from the second equation into the first equation. This gives us [tex]x^2 + (4/x)^2[/tex] = 8. Multiplying both sides by [tex]x^2[/tex] gives us [tex]x^4 + 16 = 8x^2[/tex]. Rearranging the equation and factoring, we get [tex]x^4 - 8x^2[/tex] + 16 = 0.

This equation can be factored as [tex](x^2 - 4)(x^2 - 4)[/tex] = 0. Taking the square root of both sides, we find that [tex]x^2[/tex] = 4. Solving for x, we get x = ±2. Substituting these values back into the second equation, we find that the two numbers are 2 and 2, or -2 and -2.

Answer:

Total Cost = 14.50

Step-by-step explanation:

We have to assume that the third child pays a regular fee to get in.

2 adults = 2 * $4.50 =      $9.00

2 children = 2*$2.75/2=   $2.75

1 more child=1*$2.75   =   $2.75

Total                                   $14.50              

The 2 children 1/2 price is rather tricky. You could firgure out what 1/2 price is and then just double it, but that is rather long. And it will come to what I have. So let's try it

1/2 of 2.75 = 1.375

2 * 1.375 = 2.75

It is just as easy to show it rather than doing it.

Answer:

C) x = y - 6

Step-by-step explanation:

you have to make it in terms of x, or isolate x:

y = x + 6

- 6 from both sides

y - 6 = x + 6 - 6

combine 6 and -6

y - 6 = x

so, x = y - 6

Answer:

=-5

Step-by-step explanation:

The rate of change, the slope, can be found by using the formula for calculating the slope given two points on the line directly.... However what I like to do is just like up the points and subtract then put 2nd difference over first difference.

(-3  ,  0)

-(-2  , -5)

------------

-1         5

So the slope is 5/-1 which is just -5

Answer:

the anser is -5

Step-by-step explanation:

you better get 100 now good luck

Answer:

8 m/s^2

Step-by-step explanation:

F=kA

F=force

k=constant you will use for each F=kA relation

A=acceleration

Second sentence says F=90 while A=10 (plug in and find k)

90=k(10)  so k=9

We have for any (A,F) that F=9A

Last sentence F=72, what is A?

So 72=9A which means A=8 m/s^2

Answer:

x = -5/4, y = 0

Step-by-step explanation:

Solve the following system:

{4 x + 6 y = -5 | (equation 1)

{8 x = 12 y - 10 | (equation 2)

Express the system in standard form:

{4 x + 6 y = -5 | (equation 1)

{8 x - 12 y = -10 | (equation 2)

Swap equation 1 with equation 2:

{8 x - 12 y = -10 | (equation 1)

{4 x + 6 y = -5 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{8 x - 12 y = -10 | (equation 1)

{0 x+12 y = 0 | (equation 2)

Divide equation 1 by 2:

{4 x - 6 y = -5 | (equation 1)

{0 x+12 y = 0 | (equation 2)

Divide equation 2 by 12:

{4 x - 6 y = -5 | (equation 1)

{0 x+y = 0 | (equation 2)

Add 6 × (equation 2) to equation 1:

{4 x+0 y = -5 | (equation 1)

{0 x+y = 0 | (equation 2)

Divide equation 1 by 4:

{x+0 y = (-5)/4 | (equation 1)

{0 x+y = 0 | (equation 2)

Collect results:

Answer:  {x = -5/4, y = 0

The system of linear equations provided has an infinite number of solutions. This is concluded after subtracting the second equation from twice the first equation, resulting in 0 = 0, which implies the system's equations are equivalent.

The system given is a system of linear equations. We can solve it using either substitution or elimination method. However, in this case, the elimination method seems easier as you can simply subtract the second equation from twice the first equation.

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Answer:   (4,-5) is the answer

Look at the first image below for the known points...

Since this is a rectangle the missing point must align underneath the point (4, -3). This means that the missing point will need to have an x value of 4

The missing point must also align to the right to the point (-2, -5). This means that the missing point will need to have a y value of -5

This makes the missing point...

(4, -5)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

A

Step-by-step explanation:

there is a constant pattern from one term to another

add -7 to get to the next term

sequences A is an arithmetic sequence.

The answer is option A. -3, -10,-17, -24, -31.

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Answer:

Range of the given function is [ 5 , ∞ )

Step-by-step explanation:

Given function is [tex]y\:=\:\sqrt{x}+5[/tex]

We need to find Range of the given function.

The Range of function is the set of all possible values of the dependent variable ( here, y )  , after substituting the value of domain.

We know that square root can not have negative value. So, Domain of the given function is all non negative real number.

That is Domain = { x : x ∈ R and x ≥ 0 } = [ 0 , ∞ )

Now for range,

put x = 0 in given function,

[tex]y\:=\:\sqrt{0}+5=5[/tex]  

⇒ Minimum value of range is 5

put x = ∞ in given function,

[tex]y\:=\:\sqrt{\infinity}+5=\infinity+5=\infinity[/tex]  

⇒ Maximum value of range is ∞

Thus, Range  = { y : y ∈ R and y ≥ 5 } = [ 5 , ∞ )

Therefore, Range of the given function is [ 5 , ∞ )

the probability is 7/9

The probability that a student is a girl given that they scored an A on the test is 0.54.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We can use Bayes' theorem to find the probability that a randomly chosen girl scored an A on the test.

Let's define the following events:

A = student scored an A on the test

G = student is a girl

We want to find P(A|G), the probability that a randomly chosen girl scored an A on the test.

First, we can use the law of total probability to find the probability that a randomly chosen student scored an A:

P(A) = P(A|B) x P(B) + P(A|G) x P(G)

where B represents the event that a student is a boy.

From the problem statement, we know that 55% of the class are boys and 45% are girls, so:

P(B) = 0.55

P(G) = 0.45

We also know that 25% of the boys and 35% of the girls scored an A on the test, so:

P(A|B) = 0.25

P(A|G) = 0.35

Plugging in these values, we get:

P(A) = (0.25)(0.55) + (0.35)(0.45) = 0.29

Next, we can use Bayes' theorem to find P(A|G):

P(A|G) = P(G|A) x P(A) / P(G)

where P(G|A) is the probability that a student is a girl given that they scored an A on the test. This is what we want to find.

To find P(G|A), we can use the formula:

P(G|A) = P(A|G) x P(G) / P(A)

Plugging in the values we know, we get:

P(G|A) = (0.35)(0.45) / 0.29 = 0.54

Rounding to the nearest hundredth, we get:

P(A|G) ≈ 0.54.

Thus,

The probability that a student is a girl given that they scored an A on the test is 0.54.

Learn more about probability here:

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the answer is D cuz 45+45=90 and 90+90=180

Answer:

D. [tex]45^{o}[/tex], [tex]45^{o}[/tex], [tex]90^{o}[/tex]

Step-by-step explanation:

Angles of a triangle always add u to [tex]180^{o}[/tex]. If one angle measures [tex]90^{o}[/tex], then the two remaining angles must add up to 180 - 90 = 90.

Since the two angles have equal measures, we can set up an equation:

2a = 90 (where a = angle of one equal measure)

a = 45.

Therefore, the angle measures of the triangle are [tex]45^{o}[/tex], [tex]45^{o}[/tex], [tex]90^{o}[/tex], or answer choice D.

Without additional context, the measure of angle 2 cannot be specific. However, the three given angles do not comprise a valid triangle. More information is required.

To find the measure of angle 2, we need to use the properties of angles formed by parallel lines and a transversal. Angle 2 is an alternate interior angle with angle 5, as they are on opposite sides of the transversal line and between the parallel lines. Therefore, angle 2 is also equal to angle 5, which measures 120°. So the measure of angle 2 is 120°.

The question didn't provide enough context or information to specifically determine the measure of angle 2. However, if we look at the three angles provided – 30°, 120°, and 60° – it's plausible that these angles might comprise a triangle since the sum of all angles in a triangle is 180° (30° + 120° + 60° = 210°, so not a valid triangle). We'd need more information to accurately determine the measure of angle 2.

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Answer:

y=-3/2 x +12

Step-by-step explanation:

Solve for y.

2y+3x=24

We want 2y by itself so I will subtract 3x on both sides giving:

2y=-3x+24

Now I will divide both sides by 2 giving:

y=-3/2 x+24/2

Simplifying this gives:

y=-3/2 x+12

The slope is -3/2

The y-intercept is 12

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2y + 3x = 24 into this form

Subtract 3x from both sides

2y = - 3x + 24 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x + 12 ← in slope- intercept form

Answer:

The first choice, [tex]\frac{x-3}{x^{2}-4 }[/tex]

Step-by-step explanation:

Excluded value means that the value of x will make the denominator 0.

(-2)² - 4 = ?

4 - 4 = 0.

Therefore, it's the first choice– [tex]\frac{x-3}{x^{2}-4 }[/tex]

Answer:

[tex]x^2-3/x^2-4[/tex]

Step-by-step explanation:

An excluded value of x for any rational function or expression is when you have any value of x that makes the value of the function undefined. Thus, these values ​​must be excluded from the domain of the function.

in order to know if a value is an excluded value you have to calculate it in the expression:

x=-2

[tex]x^2-3/x^2-4[/tex]=[tex](-2)^2-3/(-2)^2-4[/tex]=[tex]4-3/4-4[/tex]= function undefined (because denominator 0 is undefined)

[tex]x-3/x^2+4[/tex]=[tex]-2-3/(-2)^2+4[/tex]=[tex]-5/8[/tex]=function defined

[tex]x^2-4/x-3[/tex]=[tex](-2)^2-4/-2-3[/tex]=[tex]0[/tex]=function defined

[tex]x^2+4/x-3[/tex]=[tex](-2)^2+4/-2-3[/tex]=[tex]8/-5[/tex]=function defined

Answer:

21 dollars each

Step-by-step explanation:

35 dollars to mow the lawn

20% tip means he will actually get the 35 dollars and whatever 20% of 35 is...

35+.2(35)

35+7

42

But he is mowing with a buddy, so he is going to split this around between him and his buddy.  So 42/2=21.

They will get 21 dollars each.