Find the product: a) (5 – 2h) (3 + h) b)4p ^2 q ^2 (p ^2 – q ^2)

Answer:

A. 904.3 cm³

Step-by-step explanation:

Radius of the ice cream cone (r) = 6 cm

Height of the ice cream cone (h) = 12 cm

Radius of the shape of hemisphere formed by the half scope of ice cream = 6 cm

Total volume of ice cream = volume of cone + volume of hemisphere

= [tex] (\frac{1}{3} \pi r^2 h) + (\frac{2}{3} \pi r^3) [/tex]

Plug in the values

[tex] (\frac{1}{3} \times 3.14 \times 6^2 \times 12) + (\frac{2}{3} \times 3.14 \times 6^3) [/tex]

[tex] (\frac{1}{3} \times 3.14 \times 36 \times 12) + (\frac{2}{3} \times 3.14 \times 216) [/tex]

[tex] = (1 \times 3.14 \times 12 \times 12) + (2 \times 3.14 \times 72) [/tex]

[tex] = (452.16) + (452.16) [/tex]

Total volume of ice cream = 904.3 cm³ (nearest tenth)

Given :

The cost of 5 pounds of boudin is $26.

To Find :

The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .

Solution :

Price per boudin in terms of x and y is :

[tex]P=\dfrac{y}{x}[/tex]

Price per boudin by given data :

[tex]P=\dfrac{26}{5}[/tex]

So,

[tex]\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x[/tex]

Therefore, the constant of proportionality is [tex]\dfrac{26}{5}[/tex].

Hence, this is the required solution.

Answer:

the answer is 108.

Step-by-step explanation:

6 x 18 = 108

Answer:

Kindly check explanation

Step-by-step explanation:

Given the equations :

6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes

Will the number 103 will make each true?

601 / 6.01= 100 (No, not true)

305 / 0.305 = 1000 (No, not true)

540 / 0.54 = 100 (No, not true)

970 / 0.097 = 10000 (No, not true)

Hence, multiplying each of the equation above by 103 will not make any of the equations true.

Answer:

it looks like it would be 69% like the one below it

Step-by-step explanation:

Answer:

455

Step-by-step explanation:

900-(35×13)=455

Answer:

C!!!!

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

Got it write on edge

Answer:

A

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] → A

Answer:

1) y = 2x - 2

2) y = - x - 1

3) y = 2/3 x + 1

4) y = 4x - 4

5) y = 3x + 6

6) y = -3x -3

7) y = 3 - x

8) y = 4 - 4x

Answer:

-6 ?

Step-by-step explanation:

Answer:

x=24 y=9.8

Step-by-step explanation:

5y-23=3x

47+3x+2x+13=180

Answer:

Step-by-step explanation:

the question is not formatted well

A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?

Step one:

given data

we are told that the price of the small refrigerator contains both the original price and 15% profit

mathematically

$414= original price + 15% profit

Step two:

let us solve for 15% of 414

=(15/100)*414

=0.15*414

=$62.1

This shows that the profit is $62.1

let the original price be x

$414= x + 62.1

solve for x

x=414-62.1

x=351.9

The refrigerator's original cost to the store $351.9

Step-by-step explanation:

the answer in the image

Answer: 3/5

Step-by-step explanation:

A=a+b/2h

Since the bottom width = 4 and the top length =2 and the length = 5

2+4=6

2(5)=10

so 6/10 = 3/5

Answer:

$375.71

Step-by-step explanation:

Given that:

Rate of interest = 5.5% compounded quarterly

Time = 1.5 years

Principal amount deposited in savings account = 1.5 years

To find:

Interest earned = ?

Solution:

Formula for amount with interest compounding quarterly:

[tex]A = P(1+\dfrac{r}{4\times 100})^{4t}[/tex]

Putting the values:

[tex]A = 4400(1+\dfrac{5.5}{4\times 100})^{4\times 1.5}\\\Rightarrow 4400\times 1.01375^6\\\Rightarrow 4400\times 1.085\\\Rightarrow \$ \bold{4775.71}[/tex]

Interest earned = Amount - Principal

Interest earned = 4775.70 - 4400 = $375.71

Answer:

Step-by-step explanation:

The answers are:

A)  {[(-15+5)×2+8]-32÷8}-(-7)

Calculate within parentheses: -16 - (-7)

Add and subtract (left to right): -16 - (-7) = -9

B) (5-2)³×2+[-4+(-7)]÷(-2+4)²

To solve this problem, you need to follow the steps of order of operations.

Calculate within parentheses: [tex]3^{3}[/tex] * 2 + [-4 + (-7)] ÷ (-2+4)²

Calculate within parentheses: [tex]3^{3}[/tex] *2 -11 ÷ (-2+4)²

Calculate within parentheses: 27 × 2 - 11 ÷ (-2+4)²

Calculate exponents: 27 × 2 -11 ÷ 4

Multiply and divide: 54 - 11 ÷ 4

Multiply and divide: 54 - [tex]\frac{11}{4}[/tex]

Add and Subtract:  [tex]\frac{205}{4}[/tex]

Convert improper fractions to mixed numbers: [tex]\frac{205}{4}[/tex] = [tex]51\frac{1}{4}[/tex]

C) {-10-[12+(-3)²] + 3³}+3³}÷(-3)

Calculate within parentheses: -4 ÷ (-3)

Multiply and divide:  [tex]\frac{-4}{(-3)}[/tex]

Simplify and convert improper fraction to a mixed number:

[tex]\frac{-4}{(-3)}[/tex] = [tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]

Hope this helped! If so, please mark brainliest.

Given :

There are 40 DuBois students going on a field trip.

Each one pays their teacher $8.75 to cover admission to the museum and lunch.

Admission for the students is $120 and each one gets an equal amount to spend on lunch.

To Find :

How much will each DuBois student be able to spend on lunch.

Solution :

Amount they paid for admission :

[tex]P =\$ \dfrac{120}{40}\\\\P=\$3[/tex]

Now, amount of money to spend on lunch is $8.75 - $3 = $5.75 .

Hence, this is the required solution.

Answer:

The measure of the fourth angle is 90°.

Step-by-step explanation:

Let x be the measure of the fourth angle.

Given measures of the other angles : 50°,120° & 100°.

Knowledge Required :

The sum of all the interior angles of a quadrilateral is 360°.

Then,

50°+120°+100°+x=360°

⇒x = 360°-270°

⇒x = 90°

.°. x = 90°

Hence, the measure of the fourth angle is 90°.

Answer:

The expression is not factorable with rational numbers

Step-by-step explanation:

Answer:

2.0864648e+15

Step-by-step explanation:

Answer:

Ok this is a long one 4,792,801,917.519956

Hope this helps! But is this for a class or were you just wondering?

Answer:

3.2333 (repeated)

3.23 (rounded

Step-by-step explanation:

ADE is 1/3 of ABC so we just divide the perimeter by 3

9.7cm / 3 = 3.2333

This rounds to: 3.23

Answer:

3 mph

Step-by-step explanation:

To make 1/9 hour to 1 hour, you need to x9.

You can use this way:

Let the speed be x

(1/3)/(1/9)=x/1

1/9x=1/3

x=3

3mph

Hope is this useful :D

Hey there!

If x = 48

48/4 = 12 because 12 • 4 equals 48

Answer: 12

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

x=8

Step-by-step explanation:

{x}{4}x=48

{x^2}{4}=48

{4x^2}{4}=48\

Answer: 86 and 4

Step-by-step explanation:

Hopefully this is the right answer!

Answer:

the answer for this question above is 1

Step-by-step explanation:

Answer:

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

Step-by-step explanation:

From statement we get the following equations:

Supply curve

[tex]90\cdot x - y = -50[/tex] (1)

Demand curve

[tex]10\cdot x + y = 200[/tex] (2)

Where:

[tex]x[/tex] - Quantity, measured in thousands of metric tons.

[tex]y[/tex] - Price, measured in US dollars per metric tons.

If we add both equations, then we find that quantity is:

[tex](90\cdot x -y )+(10\cdot x +y) = -50+200[/tex]

[tex]100\cdot x = 150[/tex]

[tex]x = \frac{3}{2}\,kton.m[/tex]

Then, we finally find the price by substituting on (2):

[tex]y = 200-10\cdot \left(\frac{3}{2} \right)[/tex]

[tex]y = 200-15[/tex]

[tex]y = 185\,USD[/tex]

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].