Last week, Jerry's Ice Creamery sold 16 sundaes with nuts and 34 sundaes without nuts. What is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answer:

1/8 is less than

Step-by-step explanation:

i dont see any fractions below gona have to edit your answer

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

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Answer:

Option B

Step-by-step explanation:

We are given the following system of equations -

\(\begin{bmatrix}-5x+2y-2z=26\\ 3x+5y+z=-22\\ -3x-5y-2z=21\end{bmatrix}\)

Now by Cramer's Rule, we would first write down the matrix of the coefficients , replacing each column with the answer column -

\(\begin{bmatrix}-5&2&-2\\ 3&5&1\\ -3&-5&-2\end{bmatrix}\) ,

\(\begin{bmatrix}26\\ -22\\ 21\end{bmatrix}\)

Replace each column of the coefficients shown at the top, with the answer column at the bottom respectively -

\(\begin{bmatrix}-5&2&26\\ 3&5&-22\\ -3&-5&21\end{bmatrix}\)

Now solve through Cramer's Rule -

x = Dx / D = - 6,

y = Dy / D = - 1,

z = Dz / D = 1

Solution = ( - 6, - 1, 1 ) = Option B

-5 x + 2 y - 2 z = 263 x + 5 y + z = -22 - 3 x - 5 y - 2 z = 21

Answer is x=-6,\:z=1,\:y=-1

The amount of time needed to complete a job by 5 workers is

40 minutes.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The amount of time needed to complete a job, t, varies inversely with the number of workers.

Number of workers = W

Time to complete 1 work  = T

This means,

T = 1 / W

W = 1 / T

10 workers can complete a job in 20 minutes.

This can be written as:

10 W = 1 / 20

Divide 10 on both sides.

1 W = 1 / 200

This means,

1 worker can complete a job in 200 minutes.

Now,

1 W = 1/ 200

Multiply 5 on both sides.

5 W = 5/200

5 W = 1 / 40

This means 5 workers will take 40 minutes to complete the work.

Thus,

The amount of time needed to complete a job by 5 workers is

40 minutes.

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Answer:

An Obtuse Triangle

Step-by-step explanation:

An Obtuse triangle means that none of the 3 sides have equal sides lenghts

The height of the hexagonal-based pyramid is approximately 101.61 inches.

To find the height of the hexagonal-based pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) × Base Area × Height

In this case, the base of the pyramid is a regular hexagon, and we have the side length (s) and apothem (a) given.

The base area of a regular hexagon can be calculated using the formula:

Base Area = (3√3/2) × s²

Let's calculate the base area first:

Base Area = (3√3/2) × (6 in)²

Base Area = (3√3/2) × 36 in²

Base Area ≈ 93.53 in²

Now, we can rearrange the volume formula to solve for the height:

Height = Volume / ((1/3) × Base Area)

Height = 3168 in³ / ((1/3) × 93.53 in²)

Height = 3168 in³ / (31.177 in²)

Height ≈ 101.61 in

Therefore, the height of the hexagonal-based pyramid is approximately 101.61 inches.

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Answer:

4 5/8 the answer you have is correct :)

Step-by-step explanation:

First, you want to make the mixed fraction into an improper fraction.

 7 x 4 + 3 = 31 (31/4)

3 x 8 + 1 = 25 (25/8)

Now you want them both to have a common denominator.

31/4 x 2/2 = 62/8

Now you are ready to subtract!

62/8 - 25/8 = 37/8

Finally, convert 37/8 to a proper fraction.

37/8 = 4 5/8

Answer:

Step-by-step explanation:

wwgdehs 95' sand and thats whow to get answer eyee

Answer:

520

Step-by-step explanation:

182 ÷ 7 = 26

5% of marbles = 26

26 × 20 = 520

The equation of the table is y=2x+8 when the slope and intercept are 2 and 8.

Given that,

In the picture we can see the table.

We have to find the equation of the table.

We know the equation is in the form

y=mx+b

Here,

m is rise/run

Which is slope

b is intercept.

Take the point as (0,8) and (1,10)

Slope is m =(10-8)/(1-0)

m= 2/1

m=2

Then b is

8=2(0)+b

b=8

The equation will be y=2x+8

Therefore, The equation of the table is y=2x+8 when the slope and intercept are 2 and 8.

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Answer:

A) To find the annual rate of change between 1990 and 2003, we can use the formula:

r = (V2/V1)^(1/n) - 1

where V1 is the initial value, V2 is the final value, and n is the number of years between the two values.

Plugging in the given values, we get:

r = (13000/26000)^(1/13) - 1

r = -0.0547

Therefore, the annual rate of change between 1990 and 2003 is -0.0547.

B) To express the rate of change as a percentage, we can multiply the result from part A by 100:

r = -0.0547 * 100

r = -5.47%

Therefore, the rate of change between 1990 and 2003 is a decrease of 5.47%.

C) To find the value of the car in the year 2006, we can use the formula:

V = V0 * (1 + r)^n

where V0 is the initial value, r is the annual rate of change, and n is the number of years between the initial value and the final value.

Since we want to find the value in 2006, which is 3 years after 2003, we have n = 3. Also, the initial value in 2003 was $13,000, so we have V0 = 13000. Finally, we can use the annual rate of change we found in part A:

V = 13000 * (1 - 0.0547)^3

V = $10,754.50

Therefore, the value of the car in the year 2006 would be approximately $10,755 (rounded to the nearest 50 dollars).

Answer: \(x=13\), one base angle measures \(74^{\circ}\)

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so:

Hence, the measure of one base angle is \(5(13)+9=\boxed{74^{\circ}}\)

Answer:

Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.

Answer:

Algebra Find f(g(x)) f(x)=2x-7 ,g(x)=1/2(x+7)

 f ( 1/2 ⋅ ( x +7 ) ) = x

Answer:

Step-by-step explanation:

(a). Alternate interior angels:

∠3 and ∠5 ,

or

∠4 and ∠6 .

(b). Alternate exterior angels:

∠1 and ∠7 ,

or

∠2 and ∠8 .

(c). Corresponding angels:

∠1 and ∠5 ,

or

∠2 and ∠6 ,

or

∠3 and ∠7 ,

or

∠4 and ∠8 .

Answer:

V = 4/3 units

Step-by-step explanation:

See attachment for calculation.

Then we substitute for y and z in the rewritten equation

x = 6 - 2y - 3z, where

y = 1

z = 2/3

x = 6 - 2(1) - 3(2/3)

x = 6 - 2 - 2

x = 2

Recall I stated that the volume of a rectangular box is

V = xyz, now we substitute for all the unknown variables.

V = 2 * 1 * 2/3

V = 4/3 units.

Answer:

odd

Step-by-step explanation:

take example of 2^3 +3^3 it's odd

now others try yourself

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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North

North

North

South

Answer:

Select whether the advantage or strategy listed below was a Northern one or a Southern one.

Blockading ports            

✔ North

Having a bigger population      

✔ North

Controlling the Mississippi      

✔ North

Having stronger military leaders      

✔ South

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

Total possibilities = 10

favourable possibilities = 3

Answer:

A

Step-by-step explanation:

There is a 1 out of 10 chance that it will land on 2.

There is a 1 out of 10 chance that it will land on 4.

There is a 1 out of 10 chance that it will land on 7.

\(\frac{1}{10}\cdot3=\frac{3}{10}\) so the anwser is A.

Since divisions by zero is ill-defined, the domain for F(x)=8/x includes any real integers other than x=0. F(xdomain )'s is therefore (-infinity, 0) U (0, +infinity).

Describe domain. The term "domain," which is unique to the internet, can apply to both the structure of the internet and the organization of a company's network resources. A domain is typically a sphere of information or a governing region.

A function's domain is the set of all potential inputs. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

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Answer:

90/100=9/10=90% = 0.9

Step-by-step explanation:

78/100+1/10 = 79/100+ 11/100 = 90/100 = 9/10 = 90% = 0.9

Answer: The answers are in the steps hopes it helps.

Step-by-step explanation:

40% * x = 23   convert 40% to a decimal

0.4 * x = 23     multiply 0.4 is by x

0.4x = 23    divide both sides by 0.4

x= 57.5  

Check:  

57.5 * 40% = ?

57.5 * 0.4 = 23

Answer:

-20 / -6 / -4 / 3/10 /  8 / 12.3

Step-by-step explanation:

I hope this helps :)

Answer:

-20, 12.3, 8, -6, -4, 2 3/10

Step-by-step explanation:

i did the test have a good day :D

Answer:

5x

Step-by-step explanation:

Let's assume that the number of plants with 5 leaves is x, and the number of plants with 2 leaves and 1 flower is y. Then, we can write two equations based on the information given:

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

To solve for x and y, we can use the substitution or elimination method. Let's use the substitution method here.

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

5x + 2(6 - x) = 32

5x + 12 - 2x = 32

3x = 20

x = 20/3

This means there are approximately 6.67 plants with 5 leaves. To find the number of plants with 2 leaves and 1 flower, we can substitute x back into the first equation:

6.67 + y = 6

y = 6 - 6.67

y = -0.67

This doesn't make sense since we can't have a negative number of plants. Therefore, we made a mistake somewhere. Let's check our equations again.

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

We notice that the second equation should be:

2x + y = 32 (total number of leaves)

Let's use this equation instead:

x + y = 6 (total number of flowers)

2x + y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

2x + 6 - x = 32

x = 26

This means there are 26 plants with 5 leaves. To find the number of plants with 2 leaves and 1 flower, we can substitute x back into the first equation:

26 + y = 6

y = 6 - 26

y = -20

Again, this doesn't make sense. We made another mistake somewhere. Let's check our equations again.

x + y = 6 (total number of flowers)

2x + y = 32 (total number of leaves)

We notice that the first equation should be:

2x + y = 6 (total number of flowers)

Let's use these corrected equations:

2x + y = 6 (total number of flowers)

2x + 3y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - 2x

Substituting this into the second equation, we get:

2x + 3(6 - 2x) = 32

2x + 18 - 6x = 32

-4x = 14

x = -14/4

Once again, we get a negative number of plants, which doesn't make sense. Let's check our equations again.

2x + y = 6 (total number of flowers)

2x + 3y = 32 (total number of leaves)

We notice that the first equation should be:

x + y = 6 (total number of flowers)

Let's use these corrected equations:

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

5x

Answer:

false

Step-by-step explanation:

I dont think I need to explain,

Answer: 473 square meters

Step-by-step explanation: