A case of 24 cans of soup costs $38.16. What is the cost of 7 cans of soup?

Answer:

$9.33

Step-by-step explanation:

Interest = Principal × Rate × Time by 100

Therefore, I = 200×8×7/12 by 100

=16×7/12

=9.33

Answer:

$6954.02.

Step-by-step explanation:

The formula is

A = P(1 + 0.05/n)^2n   where A is the amount compounded, P = initial investment and n is the number of years.

A = 6300(1 + (0.05)/2)"(2*2

=  6954.02

Answer: F(x) = 4x - 16

Step-by-step explanation: G(x) = 4x

if F(x) is the graph G(x) shifted over to the right by 4 then

F(x) = G(x-4) = 4(x-4) = 4x - 16

The general equation is f(x - amount_shifted)

The equation of the graph of the function F(x) is F(x) = (x - 3)⁴.

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given a function F(x) and G(x).

Given that,

F(x) has the same shape as the graph of G(x) = x⁴.

The difference is that F(x) is shifted to the right 3 units.

A function G(x) when shifted right to k units becomes G(x - k).

So the function F(x) is,

F(x) = G(x - 3)

      = (x - 3)⁴

Hence the correct option is B.

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The amount of pizza left over in the fraction form will be 1/4.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the swim team is sharing 6 pizzas. There are 36 players on the team. If each member has 1 slice, and each pizza has 8 slices.

Total slices = 8 x 6 = 48

Total players = 36

Left slices = 48 - 36 = 12

The portion in fraction left is,

L = 12 / 48

L = 1 / 4

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Answer:

[tex]\frac{2\pi }{3} \ ,\ \pi \ ,\ \frac{4\pi }{3}[/tex]

Step-by-step explanation:

suppose cos(x) = y

Then

[tex]2\cos^{2} \left( x\right) +3\cos x+1=0\Longleftrightarrow \begin{cases}2y^{2}+3y+1=0&\\ y=\cos \left( x\right) \ \ \text{and} &0\leqslant x\leqslant 2\pi \end{cases}[/tex]

2y² + 3y + 1 = 0 ⇒ y = -1 or y = -1/2  (because 2-3+1=0)

y = -1 ⇔ cosx = -1 ⇒ x = π  (because x∈[0,2π] )

y = -1/2 ⇔ cosx = -1/2 ⇒ x = 2π/3 or x = 4π/3

Final answer :

x = π or x = 2π/3 or x = 4π/3

Answer:

just start at like 220 i am pretty sure

Step-by-step explanation:

Answer:

x=12 y=2

Step-by-step explanation:

Due to fractions have screen shorted the steps in the image above

The statement which median describe about Grace's data set is 2 is the middle number when the number of pets in the data set is arranged from least to greatest.

The median of the data is the middle value of the data set when it arrange in ascending or descending order.

Grace collected data from twenty of her friends about the number of pets they have.  The median number of pets is two.

Median=2

By the definition of median of data set, the median two tells that the middle value of the pet is 2 when arranged in high to low point.

Thus, the statement which median describe about Grace's data set is 2 is the middle number when the number of pets in data set is arranged from least to greatest.

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Answer:

more because it is 9 pitchers and 4/7 of energy drink in each

Answer:

48

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

We know one angle measures 42°.

Another angle is a right angle, so it measures 90°.

Only the angle labeled x is unknown.

42 + 90 + x = 180

132 + x = 180

x = 48

Answer: 48

The equation to represent the orbit of Pluto around the Sun will be x²/4659.42 + y²/4566.31 = 1.

The distance from the center of the elliptical orbit to the sun is 897.5 million miles. The aphelion will be:

= 5448.5 + 897.5

= 6346 million miles

The equation of ellipse will be:

x²/a² + y²/b² = 1

x²/4659.42 + y²/4566.31 = 1

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Answer:

17, 18, 19, 20

Explanation:

Let the numbers be x, x + 1, x + 2, x + 3

Their sum is equals to 74

x + x + 1 + x + 2 + x + 3 = 74     (group the variables)

x + x + x + x + 1 + 2 + 3 = 74    (simplify)

4(x) + 6 = 74                             (subtract both sides by 6)

4x = 68                                     (divide both sides by 4)

x = 17

Other numbers:

x + 1 = 17 + 1 = 18

x + 2 = 17 + 2 = 19

x + 3 = 17 + 3 = 20

Answer:

17, 18, 19, 20

Step-by-step explanation:

Answer:

the answer is 25 hope it helps

Answer:

The price of candies in cents per ounce is 20 cents per ounce.

Step-by-step explanation:

960 cents/(48 oz) = 20 cents/oz

Using it's concept, it is found that the state with greater population density is Illinois.

Population density is the number of habitants divided by the area.

Considering the data given, for Illinois, the density is given by:

Di = 12,801,539/55,519 = 230.58 habitants per square mile.

For Texas, the density is given by:

Dt = 27,862,596/261,232 = 106.66 habitans per square mile.

Di > Dt, hence the state with greater population density is Illinois.

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Answer:

x = 5

Step-by-step explanation:

By the property intersecting chords:

x(16) = (10)(8)

-> x (16) = 80

-> x = 80/16

-> x = 5

Answer:

A. 1.725 L

B. 0.0775 L or 775 mL

Step-by-step explanation:

Part A

↓ Determine the liters of juice Rachel used ↓

750 + 650 +325 = 1,725

Rachel used 1,725 mL of juice. Convert the given mililiters to liters.

[tex]1725 \: ml \: \times \frac{1liter}{1000 \: ml} = 1.725 \: liters[/tex]

→ Rachel used 1.725 L of juice

Part B.

Determine the amount of sparkling water added to the punch bowl.

2.5 - 1.725 = 0.775 L

0.775 L was added tot he punch bowl. Convert liters to milliliters. ↓

[tex]0.775 \: \times \frac{1000 \: ml}{1 \: liters} = 775 \: ml[/tex]

Therefore, the answer is:

1.725 L & 775 mL

Answer:   x^2+4

Work Shown:

x = -2i

x^2 = (-2i)^2

x^2 = 4i^2

x^2 = 4(-1)

x^2 = -4

x^2+4 = 0

Side note: Since -2i is one root, this means 2i is the other conjugate root.

[tex]\text{For quadratic equations, if one root is complex, the other root will be its conjugate.}\\\\\text{So, the roots of the second degree polynomial are}~ \alpha = -2i ~~ \text{and}~~ \beta =2i \\\\\text{The equation is,}\\\\~~~~~~~x^2-(\alpha + \beta) x +\alpha \beta = 0\\ \\\implies x^2 -(-2i+2i)x +(2i)(-2i)=0\\\\\implies x^2 -0\cdot x -4i^2 =0\\ \\\implies x^2 -4(-1)=0\\\\\implies x^2 +4=0[/tex]

Answer:

(3x + 2)(-x^3 - 3) =

3x(-x^3 - 3) + 2(-x^3 - 3) =

-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)

now multiply that by (3+x)...

(3+x)(-3x^4 - 2x^3 - 9x - 6) =

3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =

-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =

-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)

the coefficient of x^4 = -11 <==

Step-by-step explanation:

Answer:

(3x + 2)(-x^3 - 3) =

3x(-x^3 - 3) + 2(-x^3 - 3) =

-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)

now multiply that by (3+x)...

(3+x)(-3x^4 - 2x^3 - 9x - 6) =

3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =

-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =

-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)

the coefficient of x^4 = -11 <==

Step-by-step explanation:

Step-by-step explanation:

the volume of a cylinder is

base area × height = pi×r² × height

with r being the radius.

so, we get

pi×6² × 10 = pi×36 + 10 = 360pi =

= 1,130.973355... ft³

now we need to look at the conversion rate between feet and meters :

1 ft = 0.3048 m

1 ft² = 0.3048² m² = 0.09290304 m²

1 f³ = 0.3048³ m³ = 0.028316847... m³

1,130.973355... ft³ = 1,130.973355... × 0.028316847... =

= 32.025599... m³

so, something is not right with your answer options. it looks like you put maybe the answer options of a different question in here.

but none of them get even close to the actual solution of the given question.

A transformation's preimage is the shape before the change. The image that is a pre-image is A'B'C', which is in blue colour.

We have a term for the shape before the transformation and another one for the shape after the transformation. The shape after a transformation is the image of the transformation. A transformation's preimage is the shape before the change.

In maths, the pre-image is the original figure. Therefore, the image that is a pre-image is ABC, which is in red colour.

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Answer:

I got 58.5

I multiplied 3x9 to get 27

then 3x6 to get 18

then 3x9/2 to get 13.5 and added them all together.

Answer:

30

Step-by-step explanation:

since we are looking for the area of a right triangle you want to use the legs of the triangle. Basically 5x12 over 2= 30, I think I am correct if not I apologize/

Answer:

the answer is 78

Step-by-step explanation:

12x 5= 60

60x13=180

180+600=780

the answer equals up to 78

Answer:

4 14/27

Step-by-step explanation:

The first five terms

6

-6/3

6/9

-6/27

+6/81

The first thing to do is change all the fractions denominators to 81.

Sum = 6*81/81 - 6(27)/81 + 6*9/81 - 6*3/81 + 6/81

Now add

Sum = 366/81

Sum = 4 14/27

Sum = 4.5185

Note the first term. It has been multiplied by 6*81/81. The 81 over 81 does not change the value of anything 6 * 81/81 is still 6. It just makes it easier to combine with the other members of the series.

Answer:

the measurement of the angle A is 39.17°

The number of students that are more likely to select oranges rather than bananas their favorite fruit from the next 45 is; 3.

It follows from the task content that the number of students surveyed initially is 150 and only, 30 -20 = 10 students preferred orange to bananas.

On this note, it follows that the number of students who prefer oranges rather than bananas from the next 45 is; = (45 × 10)/150 = 3.

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The sum of the first 10 terms of the given geometric series 300 +360+432 +518.4+..... is 7787.60.

Let's suppose its initial term is  a , the multiplication factor is  r

and let it has total n terms, then, its sum is given as:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

For the given geometric series, the common ratio is,

r = (360/300) = 1.2

Also, the first term of the series is 300. Therefore, the sum of the first ten terms of the series are:

Sum = a(rⁿ-1)/(r-1) = 300(1.2¹⁰-1)/(1.2-1) = 300(5.1917)/0.2 = 7787.60

Hence, the sum of the first 10 terms of the given geometric series is 7787.60.

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