Sally is making masks for her family. Her pattern calls for a rectangle that is 9 x 14. If one yard of fabric is 36 x 42 (after the salvage edge is removed), how many masks can she make from one yard of fabric? If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask? If her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask? Answer: Number of masks: Cost using discount fabric: $ Cost using regular priced fabric:

Answer

Roughly, it would be 20.5

The exact answer is 21.05

Step-by-step explanation:

To roughly get the estimate you round it to the nearest 1st decimal place in this case. So it'd be 41.0 x 0.5

Answer:

Nearest tens:  20

Nearest tenths:  24.8

Nearest whole:  25

Nearest hundredths: 24.77

Answer:

Nearest tens: 20 ⇔ the ones digit is 4, no rounding up

Nearest tenths: 24.8 ⇔ the hundredths is 7, need to round up

Nearest whole: 25 ⇔ the tenths digits is 7, need to round up

Nearest hundredths: 24.77 ⇔ the thousandths digit is 2, no rounding up

Hope this helps!! :)

Please let me know if you have any question

Answer:

12.2 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 20.74 and b = 3.4 , thus

[tex]\frac{1}{2}[/tex] × 3.4 × h = 20.74 ( multiply both sides by 2 to clear the fraction )

3.4h = 41.48 ( divide both sides by 3.4 )

h = 12.2 cm

h = 12,2 cm

Area formula

A = b×h/2

20.74 = 3.4×h/2

41.48 = 3.4h

h = 41.48/3.4

h = 12,2 cm

Answer:

4ux³

Step-by-step explanation:

√8ux⁵ √2ux

√8*2 u*u x⁵*x

√16u²x⁶

4ux³

Answer:

81= 3 times x

its right on khan.

Step-by-step explanation:

Answer:

a)5:2

b)14

c)17

Step-by-step explanation:

The ratio for babies to nursery workers is 5:2

To find the answer to b, we find how much you have to multiply 2 by to get 35, which is 7 and multiply that by the number of workers, 2, so you need 14 workers

To find the answer to c multiply 2 bye 3.5 to get 7 and multiply 5 by 3.5 to get 17.5 now rounf down so the answer to c is 17

Answer:

a)5:2 b)14 c)17

Step-by-step explanation:

If we firstly consider only the terms in x.

subtract 2x from both sides of the equation

⇒5+2x

−2x=2x−2x

+6

Observe that the x terms are eliminated and we are left with

5+0=0+6 that is 5=6 which is invalid

There is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

Given

5 + 2x = 2x + 6 ( subtract 5 from both sides )

2x = 2x + 1 ( subtract 2x from both sides )

0 = 1 ← not possible

Thus indicates the equation has no solution

Answer:

X>3

Step-by-step explanation:

X+9<4X

x-x+9<4x-x

9<3x

3<x

Answer:

B. 9 in

Step-by-step explanation:

The area covered by the fabric ([tex]A[/tex]) is represented by the following formula:

[tex]A = l^{2}[/tex]

Where [tex]l[/tex] is the side length of the canvas, measured in inches, and which is now cleared:

[tex]l = \sqrt{A}[/tex]

If [tex]A = 77.8\,in^{2}[/tex], then:

[tex]l = \sqrt{77.8\,in^{2}}[/tex]

[tex]l \approx 8.82\,in[/tex]

Which corresponds to option B.

Greetings from Brasil...

Let's isolate N. For that we will pass the - 8 to the second member:

n - 8 = - 3

n = - 3 + 8

n = 5

Answer:

9

Step-by-step explanation:

If α and β are the zeros of ax² + bx + c = 0 , then

α + β = [tex]\frac{-b}{a}[/tex] ( sum of zeros ) and

αβ = [tex]\frac{c}{a}[/tex] ( product of zeros )

Given

x² + 5x + 8 = 0

with a = 1, b = 5, c = 8 , with zeros a and b, then

a + b = [tex]\frac{-5}{1}[/tex] = - 5

ab = [tex]\frac{8}{1}[/tex] = 8

Thus

(a + b)² = a² + 2ab + b² , that is

(- 5)² = a² + 2(8) + b²

25 = a² + 16 + b² ( subtract 16 from both sides )

9 = a² + b²

Answer:

: 1: Exact form : v = - 1/27

: 2 : Decimal form : v = -0.037037037037037037037037...

Step-by-step explanation: Multiply the equation to remove your variable (v) from the denominator.

I hope this helps you out.

Answer:

a = [tex]\frac{b^2-d}{4c}[/tex]

x = 27y

Step-by-step explanation:

Order of Operations: BPEMDAS

Question 1

Step 1: Write out discriminant

d = b² - 4ac

Step 2: Subtract b² on both sides

d - b² = -4ac

Step 3: Divide both sides by -1

b² - d = 4ac

Step 4: Divide both sides by 4c

a = [tex]\frac{b^2-d}{4c}[/tex]

Question 2

Step 1: Write out equation

2/3(x - 18y) = 6y

Step 2: Distribute parenthesis

2/3x - 12y = 6y

Step 3: Isolate x by adding 12y on both sides

2/3x = 18y

Step 4: Divide both sides by 2/3

x = 27y

Answer:

1. Quadrant 2

2. Quadrant 1

3. Quadrant 2

4. Quadrant 4

5. Quadrant 4

6. Quadrant 2

7. Quadrant 2

8. Quadrant 3

Step-by-step explanation:

For this problem, we just need to follow the pattern of positive and negatives associated with each quadrant.

The first quadrant (+, +)

The second quadrant (-, +)

The third quadrant (-, -)

The fourth quadrant (+, -)

Using these patterns we can state what order pair correlates to which quadrant.

(-2.5, 2.1) --> Q2

(1/2, 3/4) --> Q1

(-10, 13) --> Q2

(2.5, -5.5) --> Q4

(9, -10) --> Q4

(-12, 3.4) --> Q2

(-5/8, 5) --> Q2

(-6.4, -6.3) --> Q3

Cheers.

(60 m ; 120 m)

A = l×w = 7200m²

P = 2w + 2l = 360m

lw = 7200 => l = 7200/w

2(w + l) = 360 => w + l = 180

w + 7200/w = 180

w² + 7200 - 180w = 0

w² - 60w - 120w + 7200 = 0

w(w - 60) - 120(w - 60) = 0

(w - 60)(w - 120) = 0

w₁ = 60m => l₁ = 7200/60 = 120 m

w₂ = 120m => l₂= 60 m

Answer:

volume is the correct answer

Step-by-step explanation:

Answer:

[tex]\pi=\frac{v}{hr^2}[/tex]

Step-by-step explanation:

So we have:

[tex]v=\pi r^2h[/tex]

And we want to solve for π.

First, divide both sides by h:

[tex]\frac{v}{h}=\pi r^2[/tex]

Now, divide both sides again by r²:

[tex]\pi=\frac{v}{hr^2}[/tex]

And this is our answer :)

Answer:

[tex]\frac{v}{r^{2} h} = \pi[/tex]

Step-by-step explanation:

Simply divide both sides by [tex]r^{2}h[/tex] to get pi by itself.

Answer:

He has 100 g left.

Step-by-step explanation:

We start with 200 g, then bob eats 100 g, 200-100=100 grams!

Answer:

infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

Distribute

12x + 1 = 12x + 3 - 2

Combine like terms

12x+1 = 12x +1

Subtract 12x from each side

1 =1

Since this is always true, we have infinite solutions

Answer:

[tex]\Huge \boxed{\mathrm{infinite \ solutions}}[/tex]

Step-by-step explanation:

[tex]\sf 12x + 1 = 3(4x + 1) - 2[/tex]

Using distributive property.

[tex]\sf 12x + 1 = 12x+3 - 2[/tex]

[tex]\sf 12x + 1 = 12x+1[/tex]

Subtracting 1 from both sides.

[tex]\sf 12x=12x[/tex]

Dividing both sides by 12.

[tex]\sf x=x[/tex]

All real numbers are solutions.

There are infinite solutions.

Answer:

17

Step-by-step explanation:

Let x = the number we have to find

From the given information, we have this equation:

(x + 5) / 2 = 11

<=> x + 5 = 11 . 2 = 22

<=> x = 22 - 5 = 17

Answer: 17

Step-by-step explanation:

I guess you would have to guess and check for this one.

17+5= 22

22/2 = 11

hope this helps

Answer:

Step-by-step explanation:

time=distance/speed

=4800/48

100

Answer:

[tex]\Huge \boxed{\mathrm{100 \ seconds}}[/tex]

Step-by-step explanation:

4.8 kilometers is 4800 meters.

[tex]\sf \displaystyle time \ (s) = \frac{distance \ (m) }{speed \ (m/s)}[/tex]

[tex]\sf \displaystyle t = \frac{4800}{48}[/tex]

[tex]\sf \displaystyle t = 100[/tex]

It will take the object 100 seconds.

Answer:

[tex]\Large \boxed{\frac{-5}{2}b -15}[/tex]

Step-by-step explanation:

[tex]\displaystyle (-14+\frac{3}{2}b )-(1+\frac{8}{2} b)[/tex]

Distributing the negative sign to the terms in the bracket.

[tex]\displaystyle -14+\frac{3}{2}b -1-\frac{8}{2} b[/tex]

Grouping the like terms in the expression.

[tex]\displaystyle (-\frac{8}{2} b +\frac{3}{2}b) +(-1-14)[/tex]

Combining the like terms in the expression.

[tex]\displaystyle (\frac{-8+3}{2}b) +(-15)[/tex]

[tex]\displaystyle (\frac{-5}{2}b) +(-15)[/tex]

Answer:

a. [tex]\frac{5}8[/tex] cups of purple paints required.

b. [tex]\frac{5}8[/tex]

Step-by-step explanation:

Given that

Number of purple paints required with 8 cups of white paint = 5

To find:

a. Number of cups of purple paint needed to be added to 1 cup of white paint ?

b. Constant of proportionality.

Solution:

Answer a. We can use unitary method here to find the number of cups of purple paint that are to be added to 1 cup of white paint.

Let us use the given statement:

8 cups of white paint require = 5 cups of purple paint

Let us divide both sides by 8:

1 cup of white paint require = [tex]\frac{5}8[/tex] cups of purple paint

Answer b.

Constant of proportionality is nothing but the ratio of two numbers which are present in a proportion.

Here, the ratio between number of cups of purple paint and number of cups of white paint is:

5:8 or [tex]\frac{5}8[/tex].

so, the answer is: [tex]\frac{5}8[/tex]

Answer:

x = 5

Step-by-step explanation:

[tex]9x - 3 - 8x = 7 - x\\x - 3 = 7 - x\\[/tex]

Move x's to one side, and numbers to the other.

Make it the opposite sign when you move it over. Since I'm subtracting 3, I'm going to add it to the other side, and add x. And then divide by 2 to solve for x

[tex]x + x = 7 + 3\\\\\frac{2x}{2} = \frac{10}{2}\\\\x = 5\\\[/tex]

Answer:

[tex]=36\sqrt{7}i[/tex]

Step-by-step explanation:

sqrt of 7-11=2i

simplify to [tex]6\cdot \:2\sqrt{9}\sqrt{7}i[/tex]

then sqrt of 9=3

then we simplify again to [tex]=36\sqrt{7}i[/tex]

hope this helps and if you don't mind please consider giving me brainliest

Answer:

Adult's ticket is 7, child's ticket is 2

Step-by-step explanation:

Let adult's ticket be "x" and child's ticket be "y"

So, for family 1, the equation would be: 2x+3y=20

And, for family 2, the equation would be: 1x+4y=15

Use the substitution method in the second equation to know what x in terms of y is:

x + 4y = 15 (substact 4y from both sides)

x= 15 - 4y

Plugin y into the first equation:

2(15-4y)+3y=20 (distribute)

30-8y+3y=20 (simplify)

30-5y = 20 (get y by itself)

-5y = -10 (divide by -5)

y = 2

Now that you know the value of y (child's ticket), figure out x by plugging in 2 into any of the equations (I chose the second):

1x+4(2) = 15 (simplify)

x + 8 = 15 (subtract 8)

x = 7

Answer:

price of adult ticket=7 £

price of childrens' ticket =2  £

Step-by-step explanation:

let x be price for adult and y price for  for children

family 1 :  2x+3y=20

family 2:   x+4y=15

solve by eliminating : multiply equation 2 by (2) to eliminate x

2x+3y=20

2x+8y=30  

subtract the two equations:

2x+3y-2x-8y=20-30

-5y=-10

y=-10/-5

y=2( the price for children)

x+4y=15

x+4(2)=15

x=15-8

x=7 ( the price for adults)

check : 2x+3y=20

2(7)+3(2)=14+6=20

Answer:

x=-16

Step-by-step explanation:

4x– 15 = 17 - 4x+10x

4x+4x-10x = 17+15

-2x=32

-x=16

x=-16

Answer:

Please see attached picture for full solution.