A rectangle has a height of x and a width of 7x-4 what is the area

Answer: 6

Step-by-step explanation: 2 / 1/3 = 6

Final answer:

To find out how many 1/3 inch cubes can fit into a 2 inch cube, calculate the volume of both cubes and divide the larger volume by the smaller. The result is 216 such cubes can fit into a 2 inch cube.

Explanation:

To determine how many 1/3 inch cubes can fit into a 2 inch cube, we first need to calculate the volume of the larger cube, which is 2 inches x 2 inches x 2 inches = 8 cubic inches. Next, we calculate the volume of the smaller cube which is (1/3 inch) x (1/3 inch) x (1/3 inch) = 1/27 cubic inch. To find how many smaller cubes fit into the larger one, we divide the volume of the larger cube by the volume of the smaller cube: 8 cubic inches / (1/27) cubic inch = 216. Therefore, 216 smaller cubes, each 1/3 inch on a side, can fit into a 2 inch cube.

Answer:

The regular hexagon is made up of 6 equilateral triangles. Each has a side of 8 ft (the radius) Each area =8^2/4 sqrt 3 =16 sqrt 3 The hexagon's area =96sqrt3 sq ft

Step-by-step explanation:

Answer:

Using a system of equations, however, allows me to use two different variables for the two different unknowns.

number of adults: a

number of children: c

With these variables, I can create equations for the totals they've given me:

total number: a + c = 2200

total income: 4a + 1.5c = 5050

Now I can solve the system for the number of adults and the number of children. I will solve the first equation for one of the variables, and then substitute the result into the other equation:

a = 2200 – c

4(2200 – c) + 1.5c = 5050

8800 – 4c + 1.5c = 5050

8800 – 2.5c = 5050

–2.5c = –3750

c = 1500

Now I can back-solve for the value of the other variable:

a = 2200 – (1500) = 700

I have values for my two variables. I can look back at my definitions for the variables to interpret these values. To answer the original question, there were:

1500 children and 700 adults.

Final answer:

A word problem involving two people and their apples, where Alice has twice as many apples as Bob. The variables are defined, the equation is written, and the solution is found.

Explanation:

Word Problem:

Alice has twice as many apples as Bob. Together, they have 15 apples. Define the variable 'x' as the number of apples Bob has.

Equation:

Alice's apples: 2x

Bob's apples: x

2x + x = 15

Solution:

Combining like terms: 3x = 15

Dividing both sides by 3: x = 5

Sentence Explanation:

We defined the variable 'x' as the number of apples Bob has. Since Alice has twice as many apples, we expressed her number of apples as 2x. The total number of apples they have together is 15, so we created an equation by summing up both Alice's and Bob's apples. By solving for 'x', we found that Bob has 5 apples.

Answer:

14 and 15

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

16*3

16 oz in a pound

Answer:

3.5 square cm

Step-by-step explanation:

[tex]Area \: of \: both \: squares \\ = {2}^{2} + {3}^{2} \\ = 4 + 9 \\ = 13 \: {cm}^{2} \\ \\ Area \: of \: both \: right \: \triangle s \\ = \frac{1}{2} \times (2 + 3) \times 2 + \frac{1}{2} \times3 \times 3 \\ = 5 \times 1+ 1.5 \times 3 \\ = 5 + 4.5 \\ = 9.5 \: {cm}^{2} \\ \\ Area \: of \:shaded \: region \\ = Area \: of \: both \: squares\\ - Area \: of \: both \: right \: \triangle s \\ = 13 - 9.5 \\ \purple { \boxed{ \bold{Area \: of \:shaded \: region = 3.5 \: {cm}^{2} }}}[/tex]

Answer:

16 men would be needed to paint the room in 2 hours

Step-by-step explanation:

We can use proportion to solve the problem given, but first we need to determine whether it is a direct or indirect proportion.

If the number of men are increase, the time taken to do the work will decrease, If the number of men are decrease, the time taken to do the work will increase. Therefore, this is an indirect proportion.

We are going to arrange the data inversely.

Let x be the number of men needed to paint the room in two hours

8 hours =  2 hours

    x        = 4 men

Cross-multiply

2×x = 8×4

2x = 32

Divide both-side of the equation by 2

2x/2 = 32/2

x = 16 men

16 men would be needed to paint the room in 2 hours

Answer:

As the property of tangent line of circle, the 2 right triangles ABC and ADC are congruent.

=> AB = AD or j = k

j = 25x^2 + 100x + 9

k = 21x^2 + 100x + 18

=> 25x^2 + 100x + 9 = 21x^2 + 100x + 18

=> 4x^2 = 9

=> x^2 = 9/4 = (3/2)^2

=> x = 3/2 ( -3/2 value is not valid)

Hope this helps!

:)

Answer:

answer is c

Step-by-step explanation:

correct me if im wrong but it should be

Answer:

i believe its C

Step-by-step explanation:

Answer:

37.5 or 37 1/2

Step-by-step explanation:

The formula for finding surface area in a cube is A=6a^2

substituting 2.5 instead of a will result in this equation. A=6(2.5)^2

solving algebraically will then get you to your answer of 37.5

Answer:

Step-by-step explanation:

Each cube has six faces. All faces are congruent and each of them is a square.

The fromula of an area of a square is:

[tex]A=s^2[/tex]

s - length of a side of a square

We have

[tex]s=2\dfrac{1}{2}[/tex]

Convert it to a decimal

[tex]s=2\dfrac{1}{2}=2.5[/tex]

Substitute to the formula of an area of a square:

[tex]A=(2.5)^2=(2.5)(2.5)=6.25[/tex]

The Surface Area of a cube:

[tex]S.A.=6A[/tex]

Substitute:

[tex]S.A.=6\cdot6.25=37.5[/tex]

Answer:

Step-by-step explanation:

I hope this was what you were looking for. Have a nice day!

Answer:

x= 3 /2 , x=−5

(2x−3)(x+5)=0

Step 2: Set factors equal to 0.

2x−3=0 or x+5=0

Answer:

169

Step-by-step explanation:

13 to the 2nd power is 169

hope this helps!!

p.s. could you please help me with my recent question??

Answer:

10 inches

Step-by-step explanation:

Assuming a rectangular tile

P = 2(l+w) where l is the length and w is the width

P = 2(1+4)

   = 2(5)

   = 10 inches

Answer:

10 in

Step-by-step explanation:

Answer:

it's geometric

Step-by-step explanation:

geometric equations change by a rate witch means you multiply to get to the next number in the sequence

arithmetic you add to get to the next number in the sequence

Answer:

Geometric

$335,544.31

Step-by-step explanation:

1, 2, 4, ..

This is Geometric progression with:

First term: 1

Common ratio: 4/2 = 2

S25 = 1(2²⁵-1)/(2-1) = 33,554,431

33,554,431 pennies or

33,554,431/100 = $335544.31

Here is the correct interpretation of the question with the help of the text editor tool.

Use a parameterization to find the flux [tex]\int\limits \int\limits_s \ F. \ n \ d \sigma[/tex] of F = z²i + xj - 2zk in the outward direction

(normal away from the x-axis) across the surface cut from the parabolic cylinder z = 16 -y²  by the planes x = 0 , x = 1, and z = 0 .

The flux is                  .

Answer:

[tex]-\frac{512}{3}[/tex]

Step-by-step explanation:

F(x,y,z) = (z² ,x , - 2z)

To find the flux across a surface : [tex]\int\limits \int\limits_s \ F. \ n \ dS = \int\limits \int\limits_D \ F. (r_u * r_v) \ dA[/tex]

The sphere z is given as =  16 -y²,    above x = 0 , x= 1, and z = 0

When z = 0 ⇒ 16 - y² = 0

⇒ y = ± 4

The parameterization is y=v⇒z= 16 -v²    and x= u

⇒ r = (x,y, z) = ( u,v,16 - v²)

with 0 ≤ u ≤ 1      and     -4 ≤  v ≤  4

However the normal vector can now be determined as :

[tex]r_u = (1,0,0) , \ \ \ r_v = (0,1, - 2v)[/tex]

[tex]n = r_u*r_v = \left[\begin{array}{ccc}i&j&k\\1&0&0\\0&1&-2v\end{array}\right] = (0,2v,1)[/tex]

[tex]\int\limits \int\limits_s \ F. \ n \ dS = \int\limits \int\limits_D \ F. (r(u,v)) .(r_u*r_v)dA[/tex]

[tex]=\int\limits^1_0 \int\limits^4_{-4} [(16-v^2)^2 , u , -2 (16-v^2)](0,2v,1)dvdu[/tex]

[tex]=\int\limits^1_0 \int\limits^4_{-4} [2uv-2(16-v^2))dvdu[/tex]

[tex]=\int\limits^1_0 (uv^2 -32v+ \frac{2v^3}{3})^ ^4}__{-4}} du[/tex]

[tex]=\int\limits^1_0 (u(16-16)-32(8)+\frac{2}{3}(128))du[/tex]

[tex]= \int\limits^1_0 (-\frac{512}{3})du[/tex]

[tex]= - \frac{512}{3}(u)^ ^1}__0[/tex]

= [tex]-\frac{512}{3}[/tex]

The flux of a vector field across a surface is calculated by computing the surface integral of the vector field in the direction normal to the surface. This involves parametrizing the surface and taking antiderivatives based on the defined area. The direction of the flux is crucial as it determines the sign of the flux.

To find the flux of the vector field upper Case Bold F across a surface, we need to compute the surface integral of upper Case Bold F in the given direction. For the given problem, the surface is defined by the parabolic cylinder z = 1 - y^2 and the planes x = 0, x = 1, z = 0. We parametrize this surface using two parameters x and y, with x ranging from 0 to 1, and y ranging from -1 to 1.

We then compute the surface integral by taking the antiderivative of the defined area with the boundaries of surface as the integral's bounds. This process might involve computation of multiple integrals if the surface is composed of multiple parts.

Note that the direction of the flux, which is normal away from the x-axis, is important for the calculation, as it determines the sign of the flux. The flux is positive if the angle between the vector field and the outward normal to the surface is less than 90 degrees, and negative otherwise.

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Answer:

$8.5

Step-by-step explanation:

divide 68.00 by 8

To find the wingspan of the real aeroplane, we use the scale of 5 cm to 13 m and set up a proportion comparing the model's wingspan of 24 cm with the real wingspan, which results in a real wingspan of 62.4 m.

Sunita's scale model of an aeroplane has a wingspan of 24 cm, and the scale used is 5 cm to 13 m. To find the wingspan of the real aeroplane, we set up a proportion where 5 cm on the model represents 13 m in reality. The ratio would be:

Model scale: 5 cm

Real scale: 13 m = 1300 cm (since 1 m = 100 cm)

Now we find the corresponding real-life measurement for the 24 cm wingspan on the model:

(5 cm / 1300 cm) = (24 cm / Wingspan in cm)

To solve for the real wingspan, we cross-multiply and divide:

5 cm * Wingspan in cm = 1300 cm * 24 cm

Wingspan in cm = (1300 cm * 24 cm) / 5 cm

Wingspan in cm = 31,200 cm / 5 cm

Wingspan in cm = 6,240 cm

Converting back to meters (divide by 100 since 1 m = 100 cm):

Wingspan in m = 6,240 cm / 100 = 62.4 m

Answer:

The answer is store A

Step-by-step explanation:

Since its simple to see 12 is divisible by 6. It equals 2. So the store sells each bottle for 2 dollars. Store A on the other hand is a little difficult but the same thing just divide 18 by 10 to get your outcome of 1.8

Answer:

[tex]60 \: degrees[/tex]

Step-by-step explanation:

[tex]180(n - 2)[/tex]

you have to put the number of sides for n

[tex]180(n - 2) \\ 180(6 - 2) \\ 180 \times 4 \\ = 720[/tex]

720 is the sum of interior angles. so to find the value of an angle you have to divide 720 by the number of angles.

[tex] \frac{720}{6} = 120 \: \: degrees[/tex]

we know that,

interior angle + exterior angle = 180 degrees

[tex]120 + z = 180 \\ z = 180 - 120 \\ z = 60 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

3/5 and 60%

Step-by-step explanation:

60% = 60/100= 3/5 =0.6

The two values which are equivalent to 0.6 are;

⇒ 3/5 , 60%

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The numbers are,

⇒ 1/6 , 6%, 3/5, 6/100

Now,

Solve the numbers for the values are equivalent to 0.6 as;

A. 1/6 = 0.16

B. 6% = 6/100

         = 0.06

C. 3/5 = 0.6

D. 60% = 60/100

            = 0.6

E. 6/100 = 0.06

Thus, The two values which are equivalent to 0.6 are;

⇒ 3/5 , 60%

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Answer:

78 degrees

Step-by-step explanation:

Mainly because the measure of the arcs intercepted by the interior angles equals 2 times those interior angles.

so arc DC =  2 * angle DBC = 2 * 51 degrees = 102 degrees.

We also see that because BD is a diameter the angle  BCD that intercepts it is 90 degrees because   half-circle arc BD = 2 * angle BCD

180 degrees = 2 * angle BCD

also we want arc BC.

we know that the total circle is the sum of all 3 arcs.

arc BC + (half-circle) arc BD + arc DC = 360 degrees

arc BC + 180  + 102 = 360 degrees.

arc BC =  360 - 180 - 102 = 78 degrees

Answer:

x=2

Step-by-step explanation:

We will use the secant-secant Formula:

(whole secant) x (external part) =         (whole secant) x (external part)

(1+x+4) * (x+4) = (11+x+1) * (x+1)

Combine like terms

(x+5) (x+4) = (x+12) (x+1)

FOIL

x^2 + 4x+5x + 20 = x^2 +  x+ 12x + 12

Combine like terms

x^2 + 9 x + 20 = x^2 + 13 x + 12

Bring everything to the left

x^2 + 9 x + 20- (x^2 + 13 x + 12) = x^2 + 13 x + 12-( x^2 + 13 x + 12)

x^2 + 9 x + 20- (x^2 + 13 x + 12) =0

Distribute the minus sign

x^2 + 9 x + 20- x^2 - 13 x - 12 =0

Combine like terms

-4x +8 = 0

Subtract 8 from each side

-4x+8-8=0-8

-4x=-8

Divide each side by -4

-4x/-4 = -8/-4

x=2

Answer:

1st one the other 2 are linear

Answer:

the first one

Step-by-step explanation:

the other two are linear.

Answer:

Inequality=0.75x∠10   Answer=13 or less

Step-by-step explanation:

Answer:

y=.75x (13 Times)

Step-by-step explanation:

y is the amount it will cost Montel to play the video game x amount of times, if Montel plays the game 2 times, 2x.75 is $1.50 so it would cost him $1.50 to play the game 2 times. However, we want to find how many times he can play with a $10 budget, so we must enter $10 as y and divide by .75 and we should get 13.33333. This means Montel will be able to play 13 times and will have 25 cents left over because 13 x .75 is $9.75

Answer:

7.6 feet

Step-by-step explanation:

The radius of a circle is halfway through. The diameter is the full way through. So what you do is multiply the radius by two. In this case, it's 3.8*2.

Answer:

7.6 ft

Step-by-step explanation:

The diameter of a circle is 2 times the length of the radius.

The formula to find the diameter is

d=2r

d= diameter

r= radius

Since the radius of this circle is 3.8, when multiplied by its self, it is 7.6 feet.

I hope this helped! :)

Answer: Sally has 48 in her piggy bank

Step-by-step explanation:

Hi, to answer this question, first, we have to add the coins given to Sally:

37 +21 +22 = 80

Since she lost 32 coins before putting those coins into her piggy bank, we have to subtract that number to the total number of coins collected.

80-32 = 48 coins

Sally has 48 in her piggy bank

Feel free to ask for more if needed or if you did not understand something.  

Answer:

a=7.8

<C=84.8°

<B=44.19

Step-by-step explanation:

Answer:

Step-by-step explanation:

What it means to "solve for a triangle" is to basically find ALL the missing parts, which in this case, are the lengths.

You are given the angles of the triangle, which we can use to help find the lengths.

By using sin, cos, and tan we can find the missing lengths

** quick side note, an easy way to remember how to use sin, cos, tan is SOH CAH TOA. In other words "for sine, multiply the opposite and hypotenuse, for cosine, multiply adjacent and hyp., and for tan, multiply opposite and adj.

start w/ solving for an angle (it doesn't matter which one but ill do A)

Bc you aren't given any side lengths, you have it a little easier by having to only use one method of SOH CAH TOA to solve. The method is sine

Using your calculator, type in sin(degree) or sin(51), and  you should get

= 0.777145 OR 0.8

** make sure your calculator is is DEGREES not RADIANS

Now do this for the rest of the angles:

sin(7)= 0.1

sin(10)= 0.2

You have all the lengths (0.8, 0.1, 0.2) add them together to find the perimeter and if you want to find the area use Bh/2. But to find the area you must have a height, which you don't have

To find the height use formula: sqrt/( S(S-A)(S-B)(S-C)

A, B, C are the sides you've found using sine, and S is 1/2( A+B+C) or fast math is 0.55.

Plug in the values and solve :)

Answer:

x= 12 units.

Step-by-step explanation:

To solve this equation, we can find each half of the base using the Pythagorean theorem. We will use 'x' as denoting each HALF of the base:

45= 3²+x²

Subtracting from both sides will give us:

36= x²

x=6.

However, the base in this problem is '2x' because 'x' is HALF of the base.

2(6)= 12 units.

Answer:

The answer to this question can be defined as follows:

net paid interest = $ 655. 04

Total cost = $ 4955.04

Step-by-step explanation:

Given values:

loan amount = $ 4,300

monthly payment = $ 206.46

interest rate = 14 %

Time = 2 years

Solution:

yearly payment = one month amount × 12

1 year payment = $ 206.46 × 12

1 year payment =  $2477.52

because Time is 2 year then payment is = $2477.52 *2

2 year payment = $ 4955.04

net interest paid  = total payment - loan amount

                            = $ 4955.04 - $4300

                            = $ 655.04

total  cost = $ 4955.04

net paid interest = $ 655.04

The total cost of repayment and the interest should be $4,955.04 and $655.04.

Since

loan amount = $ 4,300

monthly payment = $ 206.46

interest rate = 14 %

Time = 2 years

Now

yearly payment = one month amount × 12

So,

= $ 206.46 × 12

=  $2477.52

Now the two year payment should be

= $2477.52 *2

= $ 4955.04

Now

net interest paid  = total payment - loan amount

= $ 4955.04 - $4300

= $ 655.04

hence, The total cost of repayment and the interest should be $4,955.04 and $655.04.

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