Cara measured 8 2/3 yards of cloth she the cut it into 4 equal pieces. what was the length of each piece of cloth?

Answer:

x= -13/1,1

3x+5=8

-(3x+5)=8

x=1

x=-13/3

x=-13/3,1

Answer:

x and equal 1 or -13/3

Step-by-step explanation:

this is an absolute value equation so the equation can either equal 8 or -8. if you set up two equations that are 3x+5=8 and 3x+5 = -8 and just isolate the x, you get 1 and -13/3.

Answer:

Solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex]

We know that [tex]\sqrt{x} = x^{\frac{1}{2}}[/tex]

Solving:

[tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}\\=((\sqrt{21}-2\sqrt{7} )^2)^\frac{1}{2}[/tex]

We know that [tex](a^2)^\frac{1}{2}=a[/tex]

= [tex]\sqrt{21}-2\sqrt{7}[/tex]

So, solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]

Answer:

L = P/2 - W

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

P = 2L + 2W

Step 2: Solve for L

Answer:

6,24,12,16,18,4

Step-by-step explanation:

Brainliest please

Happy holidays

Answer:

4 shirts

Step-by-step explanation:

127.96 - 76 (54+22)

51.96 / 12.99 = 4

Answer:

60 attempts

Step-by-step explanation:

Divide 51 by .85, and you get 60!

Answer:

Step-by-step explanation:

Option B is correct

Answer:

45°

Step-by-step explanation:

Answer:

option A is the Answer

Step-by-step explanation:

hope it helps

Answer:

-1

Step-by-step explanation:

not sure if the equation is 3-4m or 3-4 but it's -1 if the equation is 3-4

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Ed 2020

Answer:

A. is the answer.

Step-by-step explanation:

4t-8=4×(t-2)

4=0

t-2 add to both side of equation

t=2

Answer:

dx/dt  = - 18,79 mph

Step-by-step explanation:

The two cars with the intersection point and the straight-line distance between the cars make up a right triangle. In that right triangle, the legs are the distance between each car and the intersection point, and the distance between cars is the hypothenuse

If we call  x  and  y  distances between blue car and red car respectively  and L the hypothenuse by Pythagoras theorem we have:

L²  =  x²  + y²      (1)

Tacking derivatives on both sides of the equation

2*L*dL/dt  = 2*x*dx/dt + 2*y*dy/dt

And from equation (1)

L²  = (0,5)² + (0,5)²    ⇒  L = √(0,5)²  + (0,5)²   ⇒ L = 0,5*√2

By subtitution in equation (2)

2*(0,5*√2)*15 = 2*0,5*dx/dt + 2*0,5*40

(15*√2 - 40 ) / 1  = dx/dt  [mph]

dx/dt  = - 18,79 mph

Note the( - ) sign is equivalent to say that the car is driving away from the intersection point

Answer:

£16

Step-by-step explanation:

Step one:

given data

The price of a shirt is £64

When the price is reduced by 3/4, i.e 0.75

the reduced amount can be calculated as

0.75*64

=£48

Step two:

The new price or the cost of the shirt when the price is reduced is

= 64-48= £16

Answer:

When x = 12, y = 4.

Step-by-step explanation:

If

y

∝

x

we can write that

y

=

k

⋅

x

where k is a constant of proportionality.

Using the values given:

6

=

18

⋅

k

⇒

k

=

1

3

y

=

1

3

⋅

12

=

4

Answer:

Step-by-step explanation:

-6n + 2.9 = 11

subtract 2.9 from both sides

-6n = 8.1

divide both sides by -6

n = -1.35

2/3n - 3 = 8

add 3 to both sides

2/3n = 11

multiply both sides by 3

2n = 33

divide both sides by 2

n = 16.5

hope this helps <3

Answer:

left side:

-6n = 11 - 2.9

-6n = 8.1

n = - 8.1/6

n = - 1.35

right side:

2/3 n = 8 + 3

2/3 n = 11

n = 33/2

n = 16.5

Answer:

D

Step-by-step explanation:

The equations could be used to predict the value is

V(t) = 1000 (1+ 5/100[tex])^t[/tex]

A financial concept known as future value (FV) assigns a value to an asset based on anticipated factors like future interest rates or cashflows. Knowing how much their investment would be in five years, given a projected rate of return, may be valuable for an investor.

We have,

P= $1000

R= 5%

T= time in years

We know that amount

A(t) = P(1 + R/100[tex])^t[/tex]

So, V(t) = 1000 (1+ 5/100[tex])^t[/tex]

Thus, the required function is  V(t) = 1000 (1+ 0.05[tex])^t[/tex]

Learn more about Future Value here:

https://brainly.com/question/14860893

#SPJ3

Answer:

Step-by-step explanation:

the slope if the equation will be -8

Answer:

k=1/2

It is a reduction

Step-by-step explanation:

To the scale factor, you simply divide the length of the post image by the image.

10/20=k

1/2=k

Answer:

Step-by-step explanation:

Y la pregunta?

Answer:

x = 20

Step-by-step explanation:

Two lines are parallel. So, alternate interior angles are congruent.

x +8 + 6x - 58 = 90

7x - 50 = 90

        7x = 90 +50

       7x = 140

         x = 140/7

x = 20

8.25 x 22 = 181.5

181.5 divided by 60 = 3.025

each month, they would work about 3 hours

Answer:

it's answer is 20

Step-by-step explanation:

hope it helps you

Answer:

i say B

Step-by-step explanation:

the pot is 62 which means that 20 would be x due to it increasing 20 degrees per minute

Answer:

Top graph

Step-by-step explanation:

It starts at x and continues right, so x > -3 in that graph

Answer:

x = 27

Step-by-step explanation:

m<X + m<XWY + m<XYW = 180    (measures of <s of triangle add to 180)

m<X = 90

90 + m<XWY + m<XYW = 180

m<XWY + m<XYW = 90     Equation 1

m<XWY + m<VWY = 180      (linear pair)     Eq. 2

m<XYW + m<ZYW = 180      (linear pair)     Eq. 3

Add Eqs 2 & 3

m<XWY + m<VWY + m<XYW + m<ZYW = 360

m<XWY + m<VWY + m<XYW + m<ZYW = 360

According to Eq. 1, m<XWY + m<XYW = 90.

90 + m<XYW + m<ZYW = 360

Also, m<VWY = 6x & m<ZYW = 4x

90 + 6x + 4x = 360

10x = 270

x = 27

Answer:

7 nickels

1 pennie

Step-by-step explanation:

Answer:

Connor has 7 nickles and 1 penny.

Step-by-step explanation:

7 * 5 = 35

5 is the value of a nickel.

1 * 1 = 1

35 + 1 = 36

Therefore, Connor has 7 nickels and 1 penny.

Answer:

x=3, y=13. (3, 13).

Step-by-step explanation:

7x-8=5x-2

7x-5x-8=-2

2x-8=-2

2x=-2+8

2x=6

x=6/2=3

y=5(3)-2=15-2=13

Answer:

given y=7x-8 i

y=5x-2 ii

Step-by-step explanation:

equating equation i and ii which is i=ii

7x-8=5x-2

7x-5x= -2+8

2x=6

x=6÷2

x=3

now

putting the value of xbin equation i

y=7x-8

y=7×3-8

y=21-8

y=13

hence the value of x and y is 3 and 13 respectively

Answer:

[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]

Step-by-step explanation:

Let us consider the expression

[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]

Writing the expression as a radical

But, let us revise some rules:

[tex]\sqrt{a}=a^{\frac{1}{2}}[/tex]

[tex]\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]\left(a\cdot \:b\right)^n=a^nb^n[/tex]

let us solve now

[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]

[tex]=5^{\frac{3}{2}}\left(ab\right)^{\frac{3}{2}}[/tex]         ∵  [tex]\:5^{\frac{3}{2}}=5\sqrt{5}[/tex]

[tex]=\left(5ab\right)^{\frac{3}{2}}[/tex]

[tex]=\left(5ab\right)^{3\cdot \frac{1}{2}}[/tex]

[tex]=\left(\left(5ab\right)^3\right)^{\frac{1}{2}}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}[/tex]

[tex]=\sqrt{\left(5ab\right)^3}[/tex]

Thus,

[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]