What is the volume of a pyramid with base of 11cm and a hight of 12cm?

2x^2 - 6x + 7 - (5x^2 + 2x - 8)

Distributive a -1 to each term in the parentheses.

2x^2 - 6x + 7 - 5x^2 - 2x + 8

Combine like terms.

The subtraction of the given polynomials (2x² - 6x + 7) - (5x² + 2x - 8) results in the polynomial -3x² - 8x + 15.

To subtract the given polynomials, we rewrite the subtraction as an addition of the opposite. The original expression is (2x² - 6x + 7) - (5x² + 2x - 8). Changing subtraction to addition, we have (2x² - 6x + 7) + (-5x² - 2x + 8).

We combine like terms:

The result of the subtraction is therefore -3x² - 8x + 15.

Answer:The measure of the flour is greater than the measure of the sugar

Step-by-step explanation:

Answer:

n= 40

Step-by-step explanation:

(60-5)divided by 1 3/8 =n

Answer:

Number of albums in the crate are 40.

Step-by-step explanation:

Lets start the sum to form the equation as per language given.

As given number of albums = n

Therefore n albums will weigh = n×( 11/8) Pounds

Weight of the crate given = 5 pounds

So total weight of the crate including albums = weight of the     crate + weight of albums.

                  So the equation will be           60 = 5 + n×11/8

                                                                 8×60 = 8×(5+11n/8)

                                                                   480 = 40 + 11n

                                                                 11n = 480 - 40

                                                                 11n = 440

                                                                  n = 440÷11

                                                                  n = 40

so number of albums in the crate will be 40.

Answer:

The price for both senior and child tickets are $9 each

Step-by-step explanation:

Since your just trying to find the price for senior citizen and child  tickets, we'll use the equation for the first day:

4x + x = $45

5x = $45

x = 9

now plug it for 4x and x

4(9) = $36  <<divide $36 by 4 == $9

$9 for each child ticket

3. ΔPQR ≅ ΔSRT

3. ASA  (Angle - Side - Angle) - we have two triangles where we know two angles and the included side are equal

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

4. PR ≅ SR

4. ΔPQR ≅ ΔSRT - the corresponding sides are congruent.

Answer:

2.5

Step-by-step explanation:

just got it right

Answer:

27 units^3

Step-by-step explanation:

A cube's volume is denoted

[tex]x^{3}[/tex]

where x is a side. 3 is the side so it is

[tex]3^{3}[/tex]

which is 27.

The total amount shared was $2000.00

According to the problem,

We can say that the amount of money is divided in to $2x and $3x

Clearly 3x is larger and will represent $ 1200

∴ 3x = 1200

⇒ x = 400

∴ The other part will be $ 2x = $ 800

∴ Total amount shared was $ (800 + 1200) = $2000.00

So, option C is correct.

Find out more about "Ratio" here: https://brainly.com/question/2328454

#SPJ2

Answer:

Step-by-step explanation:

3 1/2-1 2/3-1/4

[tex]\text{The scientific notation:}\\\\a\times10^n\\\\1\leq a<10,\ n\in\mathbb{Z}[/tex]

[tex]a.\\(5\times10^3)\times(3.5\times10^{-1})=(5\times3.5)\times(10^3\times10^{-1})\\\\=15.75\times10^{3+(-1)}=15.75\times10^2=1.575\times10\times10^2\\\\=1.575\times10^{1+2}=\boxed{1.575\times10^3}[/tex]

[tex]b.\\(8\times10^2)\div(4\times10^3)=(8\div4)\times(10^2\div10^3)=2\times10^{2-3}\\\\=\boxed{2\times10^{-1}}[/tex]

[tex]c.\\(6\times10^{-3})^2=6^2\times(10^{-3})^2=36\times10^{-3\cdot2}=36\times10^{-6}=3.6\times10\times10^{-6}\\\\=3.6\times10^{1+(-6)}=\boxed{3.6\times10^{-5}}[/tex]

[tex]Used:\\\\a^n\times a^m=a^{n+m}\\\\a^n\div a^m=a^{n-m}\\\\(a^n)^m=a^{n\cdot m}[/tex]

Answer:

$300  

Step-by-step explanation:

Let D = Dave's savings and S = Sam's savings.

(1)                     D/S = 5/4

(2) (D – 40)/(S-40) = 13/10                  Multiply (1) by 4S

(3)                     4D = 5S                      Multiply (2) by 10(S-40)

            10(D - 40) = 13(S - 40)            Remove parentheses

(4)       10D – 400 = 13S - 520            Solve (3) for S

                         S = (4/5)D                  Substitute into (4)

         10D – 400 = 13(4/5)D - 520     Multiply each side by 5

     50D – 2000 = 52D – 2600         Subtract 50D from each side

               -2000 = 2D – 2600            Add 2600 to each side

                  600 = 2D                          Divide each side by 2

                      D = $300

Dave's savings at first were $300.

Answer:

x = 90

y = 50

Arc LM = 100

Step-by-step explanation:

Arc  MK = 180 degrees

<x = 1/2  Arc MK

<x  = 90 degrees

<x + <y + 40 = 180    all angles in a triangle add to 180

90 + <y + 40 = 180

130 + < y = 180

Subtract 130 from each side

< y = 50

Arc LM

1/2 Arc Lm =  <y

1/2 Arc LM = 50

Multiply by 2

Arc LM = 100

Answer by YourHope:

Hi! :)

x = 90

y = 50

Arc LM = 100

:)

The height of the new rectangle is 7.5cm

We shall use the proportion of the lengths of the original and enlarged rectangles to find the height of the new rectangle

Let the height of the new rectangle = h.

The proportion of the lengths of the original and enlarged rectangles = original length / enlarged length = original height / enlarged height

Plugging in the values, we have:

12/18 = 5/h

12 * h  = 18 * 5

We solve for h:

12h = 90

h = 90/12

h = 7.5cm

Thus, the new rectangle's height is 7.5cm.

Answer:

He spent 34 dollars on each book

Step-by-step explanation:

first you subtract 16 from 322 and it would be 306 and then you divide 306 by 9 and that would be the total of each book!! <3

Answer:

The answer is $35

Step-by-step explanation:

First you divide 322 my 9 so you can get 35, that was the price of each book.

hope it helps:)

Answer:

1 12/13

Step-by-step explanation:

3 1/8 ÷ 1 5/8

We need to change the fractions to mixed numbers

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

1 5/8 = (8*1+5)/8 =13/8

25/8 ÷ 13/8

We can use copy dot flip

25/8 * 8*/13

25/13

Now we change it back to a mixed number

13 goes into 25 1 time with 12 left over

1 12/13

The length of side AD is 48 units.

To find the length of side AD in terms of z, we can use the information given about the perimeter of the rectangle.

The perimeter (P) of a rectangle is given by the formula:

P=2×(Length+Width)

In this case, the length of the rectangle is AD (which is 4z) and the width is AB (which 5z+2).

So, the perimeter (P) is given by:

P=2×(4z+5z+2)

Given that the perimeter is 220 units, we can set up the equation:

220=2×(4z+5z+2)

Now, solve for z:

220=2×(9z+2)

Divide both sides by 2:

110=9z+2

Subtract 2 from both sides:

108=9z

Divide by 9:

z=12

Now that we have the value of z, we can find the length of side AD:

Length AD=4z

Length AD=4×12

Length AD=48

So, the length of side AD is 48 units.

Answer:

Option no C

Step-by-step explanation:

Given:

Price of crackers $ 9 for 3 boxes

Price of Granola Bars $6 for 3 boxes

Total bought $ 20 worth of snacks

To find the equation

Solution:

Price of cracker $ 9 for 3 boxes

price of one box of a cracker = $ 9 / 3

                                                 =$ 3 per box

Price of granola bars $ 6 for 3 boxes

price of one box of a granola bars = $ 6 / 3

                                                         =$ 2 per box

Let total crackers bought are x

price of x crackers will be 3x

Let granola bars bought are y

price of y granola bars will be 2y

as total price is 20

so price of x crackes + y granolas = 20

which will be

3x + 2y = 20

which will be option no C

Answer:

They are the same

Step-by-step explanation:

Notice how both 2's, 4's, 6's, and 8's are aligned. The arrows mean this could go on forever, meaning each tic mark would be proportionate. All numbers are even, as well. If you were to find slope, or create an equation, it would be proportionte.

Hope this helps!

Answer:

Store D has the best deal

Step-by-step explanation:

We will divide cost per minutes

Store A: $25 for a 45 minute lesson

$25/45 minutes

$.5555555  per minute

Store B: $30 for a 1 hour lesson

1 hour = 60 minutes

$30/60  

$.5 per minute

Store C: $45 for a 1.5 hour lesson

1.5 hours* 60 minutes/ hour = 90 minutes

$45/ 90

$.5 per minute  

Store D: $80 for three 1 hour lessons

3 * 1 hour = 3 hours

3 hours * 60 minutes/ 1 hour = 180 minutes

$80/ 180 =

$.4444 per minute

After calculating the cost per minute for swim lessons at each store, Store D is revealed to have the best deal at approximately $0.44 per minute.

We need to calculate the cost per minute for each option Julie has. Here's the breakdown:

Store A: $25 for a 45-minute lesson = $25 / 45 minutes = approximately $0.56 per minute

Store B: $30 for a 1-hour lesson = $30 / 60 minutes = $0.50 per minute

Store C: $45 for a 1.5-hour lesson = $45 / 90 minutes = $0.50 per minute

Store D: $80 for three 1-hour lessons = $80 / 180 minutes = approximately $0.44 per minute

Comparing these rates, we see that Store D offers the lowest cost per minute for swim lessons. Therefore, the best deal would be with Store D.

Answer:

70%

Step-by-step explanation:

To solve the equation you would do 35/50= ?/100

So step one would to be to multiply 35 by one hundred.

Then you divide by 50

then you should get 70.

so 70% is the answer

To calculate the percent change for a coat reduced from $50 to $35, you subtract the sale price from the original price, divide by the original price, and multiply by 100, resulting in a 30% decrease.

You first determine the amount of change in price, which is the original price subtracted from the sale price. In this case, the price decreased by $15 ($50 - $35). To find the percent change, divide the amount of change by the original price and then multiply by 100 to convert it to a percentage.

Percent Change = ($15 / $50) × 100

= 0.3 × 100

= 30%

Therefore, the coat was put on sale with a 30% decrease in price.

Answer:

x=6

Step-by-step explanation:

4-2(2x-7)= -6

Distribute the -2

4 -2*2x -2*-7 =-6

4 -4x+14 = -6

Combine like terms

18 -4x = -6

Subtract 18 from each side

18-18 -4x = -6 -18

-4x = -24

Divide each side by -4

-4x/-4 = -24/-4

x =6

Answer:

Arrow C

Step-by-step explanation:

As we can see that when we apply at arrow A the force is downward while the force acting by the board is upward which cancels the effect so no work will be done

Now about the Arrow B when we apply a force on it then a force will act and body will move so work will be done

we knot that

Work done = Force . Displacement

Work = Fd cos Ф

Here in B it will not be maximum because there will be an angle acting on it which is greater then 0 so it will not maximum

while in case of arrow C the angle between force and displacement is 0

as cos(0)=1

so work done = Fd which is the maximum value

The graph of the equation y=4x²-12x+9 has exactly one x-intercept because the discriminant of the quadratic equation is zero, indicating that there is only one real root.

The graph of the equation y=4x²-12x+9 is a parabola. To determine the number of x-intercepts, we look for solutions to the equation obtained by setting y to zero: 0=4x²-12x+9. The x-intercepts are the points where the graph crosses the x-axis, which correspond to the real roots of the equation.

To find the roots, we can apply the quadratic formula, x = (-b \\u00b1 \\sqrt{b² - 4ac})/(2a), where a=4, b=-12, and c=9. In this case, the discriminant (the part under the square root) is b² - 4ac = (-12)² - 4(4)(9) = 144 - 144 = 0.

Since the discriminant is zero, there is exactly one real root, which means the parabola touches the x-axis at exactly one point. Therefore, the graph of y=4x²-12x+9 has one x-intercept.

Final answer:

To find the percent increase for the second demand increase when the original price is sextupled and the first increase was 50%, we calculate the ratio of the final price to the price after the first increase. The second price increase was determined to be 300% based on this calculation.

Explanation:

The question asks us to determine the percent increase of the second price change when the price of an item becomes six times its original price, with the first price increase being 50%. To solve this, let's assume the original price is $1 for ease of calculation. After a 50% increase, the new price would be $1.50. Now, we know that after the second increase the new price is 6 times the original, which means the price is now $6.00.

To calculate the percent increase of the second price change, we divide the final price by the price after the first increase: $6.00 / $1.50 equals 4. This means the price was quadrupled. To find the percentage increase, we subtract the initial value (1, since it was multiplied by 4) and then multiply by 100. Therefore, the percent increase for the second time is (4 - 1) × 100% which equals 300%. The second price increase was 300%.

Answer:

Los catetos miden 3 cm y 4 cm.

Step-by-step explanation:

5 cm/10 cm = 1/2

6 cm * 1/2 = 3 cm

8 cm * 1/2 = 4 cm