Seamstress Jane has purchased 50 yards of red fabric and 110 yards of gold fabric to make red and gold curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain/?

Answer:

A) 2 * Length + 2 * Width = 276

B) L = 5W  then multiplying equation B) by -2 we get

-2L +10W = 0 then we add this to A)

A) 2L + 2W = 276 and get

12W = 276

Width = 23

Length = 115

Step-by-step explanation:

Answer:

The ball will roll upto 1 m.

Step-by-step explanation:

A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.

As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.

According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.

Here given kinetic energy as 10 J, so this energy will get converted to potential energy.

We know that, potential energy is

[tex]P.E=m\cdot g\cdot h[/tex]

where,

m is the mass, g is the acceleration due to gravity and h is the height.

Putting the values,

[tex]\Rightarrow 10=1\times 10\times h[/tex]

[tex]\Rightarrow 10=10 h[/tex]

[tex]\Rightarrow h=1\ m[/tex]

Answer:

104 = B

Step-by-step explanation:

A quick way to do this is to use this formula

Since this is an estimate, you are only guided to whether your answer is correct or not. Here's the actual formula

Answer:

750 liters are lost.

Step-by-step explanation:

This question can be solved with multiplication.

Its important that when multiplying scientific forms of number together, always remember to add the exponents. -5+4=-1

-25 x -30= 750

750 liters are lost in a month.

Hope this helps!

Answer:

The answer should be 7.5*10 ^1 and that equalls 75

Step-by-step explanation:

The vertex form of the quadratic function:

[tex]f(x)=a(x-h)^2+k[/tex]

(h, k) - vertex

We have

[tex]y=2(x-3)^2+4[/tex]

h = 3, k = 4

Therefore your answer is:

The vertex of the parabola given by the equation [tex]y = 2(x - 3)^2 + 4[/tex] is at the point (3, 4), which corresponds to answer option C.

The question is asking to identify the vertex of the parabola given by the equation y = 2(x − 3)^2 + 4. In this form, the equation is in vertex form of a parabola, which is [tex]y = a(x - h)^2 + k[/tex], where (h, k) is the vertex of the parabola. Comparing the given equation to the vertex form, we can see that h = 3 and k = 4, hence, the vertex of the parabola is at the point (3, 4). Therefore, the correct answer is C (3, 4).

Answer:

x=18

Step-by-step explanation:

6 - x = -12

 +x    +x

6=-12 + x

+12+12

18=x

this is the workk and the answer :}

Answer:

x =18

Step-by-step explanation:

6 - x = -12

Subtract 6 from each side

6-6 - x = -12-6

-x =-18

Multiply by -1

-1*-x = -1 * -18

x = 18

Answer:

-2

Step-by-step explanation:

Answer:

h = 1

Step-by-step explanation:

If in a function, you replace x with x - h, you translate the function horizontally h units. The black function is f(x) = |x|. The blue function is the black function translated 1 unit to the right. That means h is 1.

Black function: f(x) = |x|

Blue function: f(x) = |x - 1|

h = 1

Answer:

The x intercept = -9

The y intercept = -12

Step-by-step explanation:

To find the x intercept, set y = 0 and solve for x

-4x - 3y = 36

-4x -0 = 36

Divide by -4

-4x/-4 = 36/-4

x = -9

The x intercept = -9

To find the y intercept, set x = 0 and solve for y

-4x - 3y = 36

0 -3y = 36

Divide by -3

-3y/-3 = 36/-3

x = -12

The y intercept = -12

Answer:

x = -9

y = -12

Step-by-step explanation: Substitute 0 for x & y to get your points.

-4x - 3y = 36

-4(0) - 3y = 36

0 - 3y = 36

-3y = 36

-3y    -3y

y = -12

-4x - 3y = 36

-4x - 3(0) = 36

-4x - 0 = 36

-4x = 36

-4       -4

x = -9

Hope this helps you!!! :)

Answer:

27 yards

Step-by-step explanation:

multiply 4*6 3/4

Answer it's more singler to the right angle then the left angle ×{3*25+16=}

Step-by-step explanation:

The height of the cylinder is 20 meters.

Given,

The formula for the volume of a cylinder is V=πr²h.

The cylinder to the right has an exact value of 180π cubic meters.

Its radius is given as 3 meters in the figure.

We need to find its height.

It is given by:

V = π r² h

Find the volume of the cylinder.

V = π r² h

We have,

V = 180π cubic meters

180π cubic meters = πr²h

Find the height of the cylinder.

We have,

180π cubic meters = πr²h

Divide both sides by π

180 cubic meters = r²h

We have,

r = 3 m

180 cubic meters = 3² square meters x h

180 cubic meters =  9 square meters x h

Divide both sides by 9.

20 meter = h

h = 20 meters

Thus the height of the cylinder is 20 meters.

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Answer:

Option C : ASA

Step-by-step explanation:

Side WS Lies between ∠W and ∠S

Side NT lies between ∠N and ∠T

Hence the theorem which supports the congruency  of the two triangles

is ASA

Angle - Side - Angle

Answer:

(-1, -1)

Step-by-step explanation:

Rotating the point (-1, -1) about the origin at -90° will be a 90 degree clockwise rotation.  This will map switch the x- and y-coordinates and negate the x-coordinate:

(x, y)→(y, -x)

(-1, -1) → (-1, 1)

Following this with a 90 degree counter-clockwise rotation will map

(x, y)→(-y, x)

(-1, 1)→(-1, -1)

This is the same point we started with.  Thinking about this logically, if we rotate something 90 degrees clockwise and then follow that with a 90 degree counter-clockwise rotation will put the object back in its original position.

Answer:

The correct option is 3.

Step-by-step explanation:

The coordinates of point P are (4,3).

We have to find the value of

[tex]R_{p,90}\circ R_{o,-90}:(-1,-1)[/tex]

The operations area operated from right to left it means first we have to apply

[tex]R_{o,-90}[/tex], then [tex]R_{p,90}[/tex].

[tex]R_{o,-90}[/tex] means rotation 90 degree clockwise about the origin, it is defined as

[tex](x,y)\rightarrrow (y,-x)[/tex]

[tex](-1,-1)=(-1,1)[/tex]

[tex]R_{p,90}[/tex] means rotation 90 degree counter clockwise about the the point P, it is defined as

[tex](x,y)\rightarrrow (-(y-3)+4,(x-4)+3)[/tex]

[tex](x,y)\rightarrrow (-y+7,x-1)[/tex]

[tex](-1,1)\rightarrrow (-1+7,-1-1)[/tex]

[tex](-1,1)\rightarrrow (6,-2)[/tex]

Therefore the coordinates of image are (6,-2). Option 3 is correct.

Answer:

The rate of cases is [tex]\frac{40}{19}[/tex] per hour

Step-by-step explanation:

we are given

Total number of cases =5

total time is

[tex]=2\frac{3}{8}[/tex] hour

we can simplify it

total time is

[tex]=\frac{2\times 8+3}{8}[/tex] hour

[tex]=\frac{19}{8}[/tex] hour

we can use formula

rate of cases = ( total number of cases)/( total time)

now, we can plug values

Rate of cases is

[tex]=\frac{5}{\frac{19}{8} }[/tex]

[tex]=\frac{40}{19}[/tex]

Answer: -Jerry hears  [tex]2\frac{2}{19}[/tex] per hour.

Step-by-step explanation:

Since time is given in mixed fraction [tex]2\frac{3}{8}[/tex] , thus first convert it into improper fraction

Time=[tex]\frac{19}{8}[/tex] hours

The total number of cases Jerry hears in  =5 cases

⇒The number of cases Jerry hears in 1 hour

[tex]=\frac{5}{\frac{19}{8}}\\\\=\frac{5\times8}{19}\\\\=\frac{40}{19}=2\frac{2}{19}[/tex] cases per hour.

Thus, Jerry hears [tex]2\frac{2}{19}[/tex] cases per hour .

Answer:

because 3x6=18 so it will be the same problem

Step-by-step explanation:

Answer:

y = 3x is in slope intercept form.

Step-by-step explanation:

The slope intercept form of an equation is y =mx+b where m is the slope and b is the y intercept.

y =3x  can be written as

y = 3x+0

where 3 is the slope and has a y intercept of 0

y = 3x is in slope intercept form.

Answer:

Option  B is correct.

[tex]\frac{81m^2n^5}{8}[/tex] is equivalent to [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Step-by-step explanation:

Given expression: [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Using exponents power:

Given: [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Apply exponent power :

⇒ [tex]\frac{3^4 (m^{-1})^4(n^2)^4}{2^3(m^{-2})^3 n^3}[/tex]

⇒ [tex]\frac{81 m^{-4}n^8}{8m^{-6}n^3} = \frac{81 m^{-4} \cdot m^6 n^8 \cdot n^{-3}}{8}[/tex]

⇒[tex]\frac{81 m^{-4+6} n^{8-3}}{8} = \frac{81 m^2 n^5}{8} = \frac{81m^2 n^5}{8}[/tex]

Therefore, the expression which is equivalent to  [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex] is,  [tex]\frac{81m^2 n^5}{8}[/tex]

Answer:

Correct choice is B

Step-by-step explanation:

Consider expression

[tex]\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}.[/tex]

1. Simplify numerator:

[tex](3m^{-1}n^2)^4=3^4\cdot (m^{-1})^4\cdot (n^2)^4=81m^{-4}n^8.[/tex]

2. Simplify denominator:

[tex](2m^{-2}n)^3=2^3\cdot (m^{-2})^3\cdot n^3=8m^{-6}n^3.[/tex]

Then,

[tex]\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}=\dfrac{81}{8}m^{-4-(-6)}n^{8-3}=\dfrac{81}{8}m^2n^5.[/tex]

[tex]8x^2+7x-1=0\ \wedge\ 24x^2+53x-7=0\\\\\text{The equation:}\\\\24x^2+53x-7=8x^2+7x-1\qquad\text{subtract}\ 8x^2\ \text{and}\ 7x\ \text{from both sides}\\\\16x^2+46x-7=-1\qquad\text{add 1 to both sides}\\\\16x^2+46x-6=0\qquad\text{divide both sides by 2}\\\\8x^2+23x-3=0\\\\8x^2+24x-x-3=0\\\\8x(x+3)-1(x+3)=0\\\\(x+3)(8x-1)=0\iff x+3=0\ \vee\ 8x-1=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\\boxed{x=-3}\\\\8x-1=0\qquad\text{add 1 to both sides}\\8x=1\qquad\text{divide both sides by 8}\\\boxed{x=\dfrac{1}{8}}[/tex]

The values for x in the given equations, 8x^2 + 7x - 1 = 0 and 24x^2 + 53x - 7 = 0 are x = 1/4, x = -1/2, x = 1/8, and x = -7/6 respectively when the quadratic formula is applied.

To find the value of x for each equation, you will need to use the quadratic formula (x = [-b ± sqrt(b^2 - 4ac)] / (2a)). The quadratic formula is used in algebra to solve quadratic equations (polynomials of degree 2). The formula provides solutions for the variable x in terms of the coefficients of the equation, denoted as a, b, and c.

For the first equation, 8x^2 + 7x - 1 = 0, a = 8, b = 7, and c = -1. Plugging these values into the quadratic formula, the solutions come out to be x = 1/4 or x = -1/2.

Similarly, for the second equation, 24x^2 + 53x - 7 = 0, a = 24, b = 53, and c = -7. The solutions for x in this case come out to be x = 1/8 or x = -7/6.

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If you mean 4 x |3| =12

If it's 4 = 3x => 0.75

I'm sorry if I didn't help, I don't understand what you mean with " ! "

Answer is 144

4! = 4*3*2*1 = 24

3! = 3*2*1 = 6

6*24 = 144

Let's go:

6x + 7 + 12x - 3 = 112

18x + 4 = 112

18x = 112 - 4

18x = 108

x = 6

mADB = 6.6 + 7 = 43°

I hope I helped you.

Answer:

43°

Step-by-step explanation:

Since we know that ∠ADC, which is the sum of ∠ADB and ∠BDC, is 112, we can solve for x:

112 = 6x + 7 + 12x - 3

112 = 18x +4

112 - 4 = 18x → 108 = 18x

108/18 = x → 6 = x.

Now, we can substitute 6 for x in the equation for ∠ADB to get the answer:

6(6) + 7 ⇒ 36 + 7 ⇒ 43°.

Hope this helps! Have a nice day!

Answer:

34

Step-by-step explanation:

5x+2(3+x)

The first step is to distribute the 2

5x+2*3 + 2x

5x+6+2x

Combine like terms

7x+6

Now substitute x=4

7*4+6

28+6

34

Answer: There are 12 pink roses and 7 yellow roses.

Step-by-step explanation:

Since we have given that

Total number of members = 19

Let the number of pink roses be x

Let the number of yellow roses be 19-x

Cost of pink roses be $3

Cost of yellow roses be $2

Total amount spend to buy = $50

According to question,

[tex]3x+(19-x)2=\$50\\\\3x+38-2x=\$50\\\\x+38=\50\\\\x=\$50-\$38\\\\x=\$12[/tex]

Hence, Number of pink roses be 12

and number of yellow roses be

[tex]19-12=7[/tex]

Hence, there are 12 pink roses and 7 yellow roses.

To solve the problem, we set up two equations representing the number of team members and the total cost of roses, respectively. By solving these equations, we find that we should buy 8 pink roses and 11 yellow roses.

This problem is a type of algebraic word problem. We need to find out the number of pink roses and yellow roses to purchase with the total amounts of $50. Here's how we can solve this: Assuming that 'p' stands for pink roses and 'y' stands for yellow roses. We have two equations based on the problem:

By resolving these system of equations, the solution yields that you should buy 8 pink roses and 11 yellow roses.

Answer$15.60

Step-by-step explanation:

First you would go 32,448 divided by 52. That would give you how much you make in one week. Then you do 624 divided by 40. This would give you Job A's hourly wage ($15.60). I hope this helps.

Answer:

8x + 10y = $830

Step-by-step explanation:

8x + 10y = total revenue

if the total revenue is 830 then you can equate the above formula to 830 to give

8x + 10y = $830

Answer:

The required equation is [tex]8x+10y = 830[/tex].

Step-by-step explanation:

Consider the provided information.

As it is given that variable x represents the number of cars that paid to park and variable y represents the number of trucks that paid to park.

The cost of parking a car is $8 per day, the expression to represent the cost of parking x cars per day is 8x.

The cost of parking a truck $10 per day, the expression to represent the cost of parking y trucks per day is 10y.

The total revenue for the day was $830.

Thus, the equation represent the number of cars and trucks that paid to park that day is:

[tex]8x+10y = 830[/tex]

Hence, the required equation is [tex]8x+10y = 830[/tex].

Hey there!

Simple interest is based on only the original deposit of money, which in this case is $500.

To find 5.6% of 500, we can multiply it by the decimal that represents that part of a whole: 0.056.

[tex]500 \times 0.056 = 28[/tex]

The question asks for how much money is in the account after 8 1/2 years. This means we multiply the interest for 1 year (28) by 8 1/2.

[tex]28 \times 8.5 = 238[/tex]

Lastly, we add the interest to the original deposit.

[tex]500 + 238 = 738[/tex]

The answer is $738.

Hope this helps!

Answer:i fffffffffffffffffffffoooooooooooooooooooooorrrrrrrrrrrrrrrrrrggggggggggggggggggggggooooooooooooooooooottttttttttttttttttttttttttt

Step-by-step explanation:

Answer:i believe thats only a third of a mile

Step-by-step explanation:

if you have the both take on the same denominator the 3 miles would be 3/3 and then it would be 6/6 and the 1/3 mile would become 2/6 hope i helped

Answer: yes its 1/3 of a mile

Step-by-step explanation:

Answer:

≈ 376.99 pulgadas

Step-by-step explanation:

El volumen de un cono con una altura de 10 pulgadas y un radio de 6 pulgadas es de aproximadamente 376.99 pulgadas en cubos.

La fórmula para el volumen de un cono es π (r ^ 2) (h / 3). Puedes sustituir r con 6 yh con 10 para obtener El volumen de un cono con una altura de 10 pulgadas y un radio de 6 pulgadas es de aproximadamente 376.99 pulgadas en cubos.

La fórmula para el volumen de un cono es π (r ^ 2) (h / 3). Puedes sustituir r con 6 yh con 10 para obtener  aproximadamente 376.99

Answer:

The sides are as follows: [tex]x=18,\,\,\,y=9\sqrt{3}[/tex]

Step-by-step explanation:

Starting with the side y, we can use the tan to solve for y:

[tex]\tan 30^\circ = \frac{9}{y}\implies y = \frac{9}{\tan 30^\circ}={9}\sqrt{3}[/tex]

The side x can be determined using sin:

[tex]\sin 30^\circ = \frac{9}{x}\implies x = \frac{9}{\sin 30^\circ}= 18[/tex]

So, the sides as as follows: [tex]x=18,\,\,\,y=9\sqrt{3}[/tex]

(you can also verify this result is correct using the Pythagorean theorem)

Answer:

x=18

y=[tex]\sqrt 18[/tex]

Step-by-step explanation: