When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than One-third the total number of guests. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

Answer:

Step-by-step explanation:

1,

-10,20,-40,80,...

common ratio=20/-10=-2

it is a geometric sequence.

2.

15,-5,-25,-45

common difference=-5-15=-20

it is an arithmetic sequence.

Answer:

$2.25

Step-by-step explanation:

>givens:

2 pretzels + 1 lemonade = $5.75

2 lemonades = 1 pretzel + $0.25

>find from the first equation how much is 1 lemonade

2 pretzels + 1 lemonade = $5.75, subtract 2 pretzels from both sides

1 lemonade = 5.75 -2 pretzels

>substitute in the second equation 2 lemonades with 2(5.75-2 pretzels)

2 lemonades = 1 pretzel + $0.25

2(5.75-2 pretzels) =  1 pretzel + $0.25, distribute 2 in parentheses

11.5 -4 pretzels = 1 pretzel +0.25, isolate like terms

11.5-0.25 = 1+4 pretzels, combine like terms

11.25 = 5 pretzels, divide both sides by 5

1 pretzel = $2.25

*you can use the letter "p" for pretzel and "l" for lemonade to make the equations more concise

Answer:

x = 2/3

Step-by-step explanation:

-3x + 4 = 2

-3x = -2

x = 2/3

y = 2

(plug it into original equation)

(2/3. 2)

Answer:

54788347589535276

Step-by-step explanation:

you simply add the given values...

Answer:

We know that the box has:

0.6lb of caramels

3.6lb of coconut.

Then the total mass of candy in the box is:

0.6lb + 3.6lb = 4.2lb

This is the 100% of the box.

Now, we can write this as:

4.2lb = 100%

For example, if we want to know which percentage is caramels, we write the equation:

0.6lb = X

We want to find the value of X

Then we have two equations:

0.6lb = X

4.2lb = 100%

Let's take the quotient of these two equations:

(0.6lb/4.2lb) = X/100%

Now we can solve this for X:

(0.6lb/4.2lb)*100% = X = 14.3%

the caramels represent the 14.3% of the wheight of the box.

And for the coconut candy, we have the relation:

3.6lb = Y

Now let's do the same again, we start with the two equations:

3.6lb = Y

4.2lb = 100%

Take the quotient:

(3.6lb/4.2lb) = Y/100%

Solve for Y:

(3.6lb/4.2lb)*100% = Y = 85.7%

Now we found the percentage that represent each type of candy in the box.

The sum of the 15th square number and the 5th cube number is 350.

The 15th square number will be:

15² = 15 × 15

= 225

The 5th cube number will be:

5³ = 5 × 5 × 5

= 125

The sum of the numbers will be:

225 + 125

= 350

Therefore, we get that, the sum of the 15th square number and the 5th cube number is 350.

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Answer:

slope is zero

Step-by-step explanation:

This is a horizontal line parallel to the x- axis

Since the slope of the x- axis is zero then the slope of the line is zero

Answer:

its slope is zero

Step-by-step explanation:

the slope of a line is simply the ratio between y- and x-change from one point of the line to another.

you can express it as y/x.

e.g. 5/2 - meaning that when x changes by 2 units, y changes by 5 units (so, it goes up steeply).

now, the line in the graph is just a flat line. no matter how many units we change x and move to the right, y won't change and simply stay at 2.5.

so, 0 change in y.

and the slope is 0/"delta x" for "delta x">0

all that means the slope is 0, as 0 divided by anything is always 0.

the function for that line is therefore

y = 0×x + 2.5 or simply

y = 2.5

and the factor of x (in this case 0) is always the slope of the line.

Answer:

Step-by-step explanation:

Radius r = 15

Circumference = 2πr = 30π cm

Circumference of cone = arc length of sector

= 30π × 216°/360°

= 18π cm

Radius of base of cone = 18π/(2π) = 9 cm

Slant height of cone = radius of circle = 15 cm

Height of cone = √(15² - 9²) = 12 cm

Answer:

78

Step-by-step explanation:

Answer:

Se necesitarían 5 días para talar 1625 árboles a este ritmo

Step-by-step explanation:

1625 dividido por 325 iguales 5, así que otra forma de averiguar esto es multiplicar 325 por 5, 325 Multiplicado por 5 iguales 1625.

Answer:

B. Two-thirds x + 17

Step-by-step explanation:

Let

x = number of baseball cards his brother has

two-thirds of the number of cards in his brother's baseball card collection = 2/3x

Barry = 2/3x + 17

A. Two-thirds x minus 17

= 2/3x - 17

B. Two-thirds x + 17

= 2/3x + 17

C. 17 x minus two-thirds

= 17x - 2/3

D. 17 x + two-thirds

= 17x + 2/3

The correct answer is

B. Two-thirds x + 17

Answer:

It's B

Step-by-step explanation:

I got a 100 on my test

Answer:

The correction option is B.

Step-by-step explanation:

Answer:

B. One

Step-by-step explanation:

If it is a single payment loan, the title is self explanatory <3

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

Step-by-step explanation:

C. represent the number line for x

where x ix

Answer:

15

Step-by-step explanation:

to find angle C, you subtract 50 from 180 which is 130. that means then you add 35 and 130 together which is 165. then subtract 180-165 which is 15.

The measure of the angle ∠BAC of the triangle ABC will be 15°.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In triangle ABC, the angle B is 35° and the exterior angle C is 50°.

The measure of the angle ∠BAC of the triangle ABC will be,

We know that the sum of any two interior angle of the triangle is equal to the third exterior angle of the triangle.

The sum of the angles ∠BAC and ∠ABC is equal to angle ∠BCF. Then the equation will be

∠BAC + ∠ABC = ∠BCF

    ∠BAC + 35° = 50°

             ∠BAC = 50° – 35°

             ∠BAC = 15°

Thus, the measure of the angle ∠BAC will be 15°.

More about the triangle link is given below.

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Domain of the function

Answer:

A, B, C, E.

Step-by-step explanation:

.

Answer:

skew

Step-by-step explanation:

Perpendicular lines must intersect. In fact, they intersect forming right angles.

Lines AC and RC are not in the same plane and do not intersect.

They are called "skew lines."

Skew

Because they are in different plane and do not intersect and are not parallel

Answer: 720

Step-by-step explanation:

Given

There are 6 candidates for a state of governor

Here, order is important. So, the no different orders is given by permutations

[tex]\Rightarrow ^6P_6=\dfrac{6!}{(6-6)!}\\\\\Rightarrow ^6P_6=\dfrac{6!}{0!}\\\\\Rightarrow ^6P_6=720[/tex]

There are 720 different orders for the candidate name to be printed.

Answer:

2

Step-by-step explanation:

x + 3 = 5

x = 5 - 3

x = 2

Therefore, x=2 in the given equation

Answer:

2

Step-by-step explanation:

x+3=5

x=5-3

x=2

Hope it helps

Answer:

triangles : hearts = 11 : 22 = = 11 : 2(11) = 1 : 2

If you put it in fraction form it's [tex]\frac{triangles}{hearts} =\frac{11}{22} =\frac{11}{2(11)}=\frac{1}{2}[/tex].

Answer:

x-4y=8

Step-by-step explanation:

y=mx+c comparing with given eq

we get slope(m1)=-4

since both are prependicular

m1×m2=-1

-4×m2=-1

m2=1÷4

eq:-y-y1=m2 (x-x1)

y-1=(1÷4)(x-8)

x-4y=4

Answer: x= 112°, y = 34°

Step-by-step explanation:

"Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle."

"The angle formed at the centre of the circle by lines originating from two points on the circle's circumference is double the angle formed on the circumference of the circle by lines originating from the same points."

x = 180° - 68° = 112°

y = 68 ÷ 2 = 34°

Circle theorems source: https://revisionmaths.com/gcse-maths-revision/shape-and-space/circle-theorems#:~:text=Angles%20formed%20by%20drawing%20lines%20from%20the%20ends,the%20point%20on%20the%20circumference%20our%20triangle%20touches.

Answer:

forty-eight-thousand five-hundred and ninety-six

Answer:

66

Step-by-step explanation:

he uses 66 in one day

Answer:

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0). Step-by-step explanation: If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.

Step-by-step explanation:

5 + (1 + 1)3 × 2

5 + (2) 3 x 2

5 + 6 x 2

5 + 12

17

Answer:

17

Step-by-step explanation:

5 + (1+1)3*2

1+1= 2

5+2*3*2

3*2= 6

6*2= 12

12+5=17

Answer:

Fourth term of given arithmetic progression a(4) = 30

Step-by-step explanation:

Given incomplete information:

a(n) = 7n - 1 9

Assume Correct information:

a(n) = 7(n - 1) + 9

Find:

Fourth term of given arithmetic progression

Computation:

Fourth term of given arithmetic progression = a(4)

So,

Number of term (n) = 4

So,

a(n) = 7(n - 1) + 9

a(4) = 7(4 - 1) + 9

a(4) = 7(3) + 9

a(4) = 21 + 9

a(4) = 30

Fourth term of given arithmetic progression a(4) = 30

Answer:

60x24

Step-by-step explanation:

60x24=1224