If the length is increased by 5 feet the area of the resulting rectangle is 60 square feet.what is the area of the original rectangle

Answer:

[tex]a=2.6-3.4b[/tex]

Step-by-step explanation:

So we have the equation:

[tex]2.2a+3.4b=1.2a+2.6[/tex]

And we want to solve for a.

So, subtract 1.2a from both sides:

[tex](2.2a+3.4b)-1.2a=(1.2a+2.6)-1.2a\\1a+3.4b=2.6[/tex]

Now, subtract 3.4b from both sides:

[tex](a+3.4b)-3.4b=2.6-3.4b\\a=2.6-3.4b[/tex]

And that's our answer :)

Answer:

-17

Step-by-step explanation:

-14 + (-3)

-14 - 3

-17

Answer:

Hey!

Your answer is 5 m/s!

Step-by-step explanation:

TO FIND VELOCITY:

DISTANCE COVERED / TIME TAKEN

1,200 m / 240 s (we convert 4 mins into seconds for it to fit the formula ie 4 x 60 seconds)

ANSWER: 5

(units are always given as m/s)

HOPE THIS HELPS!!

Answer:

[tex]269[/tex]

Step-by-step explanation:

[tex]6j + 23 + kl - 3 = 6(3) + 23 + 7 \times 33 - 3 = 18 + 23 + 231 - 3 = 269[/tex]

Answer:f(x)=x2−6x−9 f ( x ) = x 2 - 6 x - 9. Replace f(x) f ( x ) with y y . y=x2−6x−9 y = x 2 - 6 x - 9. Interchange the variables. x=y2−6y−9 x = y 2 - 6 y - 9.

Step-by-step explanation:

Answer:

When a= -8, the equation 3(2x-a) = 2(3x+12) has infinitely many solutions

Step-by-step explanation:

Given:

3(2x-a) = 2(3x+12)

6x - 3a = 6x + 24

Subtract 6x from both sides

6x - 3a - 6x = 6x + 24 - 6x

-3a = 24

Divide both sides by -3

a= 24 / -3

a = -8

Substitute a= -8 into the equation

3(2x-a) = 2(3x+12)

3{2x -(-8)} = 2(3x+12)

3(2x + 8) = 2(3x +12)

6x + 24 = 6x + 24

6x - 6x = 24 - 24

0 = 0

When a= -8, the equation 3(2x-a) = 2(3x+12) has infinitely many solutions

Answer:

aops question smh

Step-by-step explanation:

Answer:

[tex]KBC = 28.3[/tex]

Step-by-step explanation:

Given

ABK = 28.3

Required

Determine KBC and ABC

Since BK is a bisector of ABC, then it divides the angle to ABK and KBC:

Such that

[tex]KBC = ABK[/tex]

Substitute 28.3 for ABK

[tex]KBC = 28.3[/tex]

Also;

[tex]ABC = KBC + ABK[/tex]

Substitute 28.3 for ABK and KBC

[tex]ABC = 28.3 + 28.3[/tex]

[tex]ABC = 56.6[/tex]

Hence;

[tex]KBC = 28.3[/tex] and

Answer:

each month 3 employees were laid off.

Step-by-step explanation:

the company started with 65 employees 12 months ago, and now there are 29. 65 - 29 = 36. In 12 months, 36 employees were laid off. 36 employees divided by 12 months = 3 employees per month.

Answer:

y = -|x-2| (*)

2 cases:

case 1: for x≥2 <=> |x-2| = x-2

(*) <=> y = - (x-2)

<=> y = -x+2

<=> x+y = 2

case 2: for x>2 <=> |x-2| = 2-x

(*) <=> y = -(2-x)

<=> y = x-2

<=> x-y = 2

since there are 2 variables but just one equation, we cannot find the exact values of x and y. Instead, we can find some kind of connection between them.

Answer:

about 2 or 3

Step-by-step explanation:

heres what u do go onlie and put the books up for sale.

Answer:

The book of amber will reach the pool 6.78 seconds before the other

Step-by-step explanation:

common sense

I hope this helps you...

Answer:

hope this helps

Step-by-step explanation:

my parents are the same way so if you listen to classical music then things will stick in you head and you can draw things to remind you what they mean like if you had a definitions then draw what they mean

Answer:

-2x^2+8x-10

Step-by-step explanation:

(x^2+3x−7)−(3x^2−5x+3)

Distribute the minus sign

(x^2+3x−7)−3x^2+5x-3

Combine like terms

-2x^2+8x-10

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ - 2 {x}^{2} + 8x - 10}}}}[/tex]

Step-by-step explanation:

[tex] \sf{( {x}^{2} + 3x - 7) - (3 {x}^{2} - 5x + 3)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses

⇒[tex] \sf{ {x}^{2} + 3x - 7 - 3 {x}^{2} + 5x - 3}[/tex]

Collect like terms

⇒[tex] \sf{ {x}^{2} - 3 {x}^{2} + 3x + 5x - 7 - 3}[/tex]

⇒[tex] \sf{ - 2 {x}^{2} + 8x - 10}[/tex]

Hope I helped!

Best regards!!

Answer:

$34

$26.5

Step-by-step explanation:

Membership cost per month = $25

Price of a slice of pizza for members= $1.50

How much would Aaliyah have

to pay the pizza shop if she bought 6 slices of pizza this month

Total cost of Aaliyah on 6 slices of pizza = membership cost per month + prices of 6 discounted pizza

= $25 + $1.50(6)

= $25 + $9

= $34

What would be the

monthly cost for a slices of pizza

Monthly cost of Aaliyah a slices of pizza = membership cost per month + price of 1 discounted pizza

= $25 + $1.5

= $26.5

Answer:

Monthly cost for 6 slices: 25+1.50(6)=34

Monthly cost for x slices: 25+1.50x

hope this helps

Answer:

34 5/8 inches

Step-by-step explanation:

Let the two strips be fabric A and fabric B

Fabric A= 14 3/4 inches

Fabric B = 20 7/8 inches

To form one length, the strips are sown together using 1/2 inch

Length after sewing=

Fabric A - 1/2 inch

= 14 3/4 inches - 1/2 inch

= 59/4 - 1/2

= 59-2 /4

= 57/4 inches

Length after sewing=

Fabric B - 1/2 inch

= 20 7/8 inches - 1/2 inch

= 167/8 - 1/2

= 167-4 /8

= 163/8 inches

Final length of the fabric after two strips are sewn together

= 57/4 inches + 163/8 inches

= 114+163 /8

= 277/8

= 34 5/8 inches

Final length of the fabric after two strips are sewn together= 34 5/8 inches

Answer:

13 in

Step-by-step explanation:

[tex]\sqrt{a} =160[/tex]²

Perfect squares close to 160 include 144 and 169

12²=144

13²=169

Now that we can see 160 is closer to 169 rather than 144,

[tex]\sqrt{160}[/tex]≈ 13 in

Hope this helps! :)

And if possible, please mark my answer brainliest so i can get to the next rank  :(

Answer:

14, 42

Step-by-step explanation:

Set A = {−7, −4, 2, 14, 21, 34, 42}

Set B = {even numbers}

Set C = {multiples of 7}

There is only one question asked

Which numbers in Set A are elements of both Set B and Set C,

We need it to be even and a multiple of 7

14 is even and a multiple of 7  and 42 is even and a multiple of 7

Answer:

[tex]\Huge \boxed{\mathrm{\{ 14, 42\} }}[/tex]

Step-by-step explanation:

[tex]\mathrm{Set \ A = \{-7, -4, 2, 14, 21, 34, 42\} }\\\\\\\mathrm{Set \ B = \{even \ numbers\} } \\\\\\\mathrm{Set \ C = \{multiples \ of \ 7\}}[/tex]

Whatever number is in Set A, it must also be in Set B and Set C.

The elements in Set A must be an even number and a multiple of 7.

Multiples of 7 from Set A are -7, 14, 21, 42.

The even numbers from these multiples of 7 are 14 and 42.

Answer:

195 miles

Step-by-step explanation:

This is because it is closer to the avg. 192.5 miles

Step-by-step explanation:

Hope this helps. But I don't know which country are you from and how you are supposed to it. Any way I tried to help.

Answer:

l1l

Step-by-step explanation:

Answer:

[tex](x-5)(x+8)=x^2+3x-40[/tex]

Step-by-step explanation:

So we have the expression:

[tex](x-5)(x+8)[/tex]

To multiply, distribute the left to the terms on the right:

[tex]=(x-5)(x)+(x-5)(8)[/tex]

Distribute:

[tex]=(x^2-5x)+(8x-40)[/tex]

Combine like terms:

[tex]=(x^2)+(-5x+8x)+(-40)[/tex]

Simplify:

[tex]=x^2+3x-40[/tex]

Therefore:

[tex](x-5)(x+8)=x^2+3x-40[/tex]

Answer:

Step-by-step explanation:

x^2 + 8x - 5x - 40

x^2 + 3x - 40

Answer:

11m + 4n ...............

Answer:

Souta made the first error in Step 3

Step-by-step explanation:

In order to find the Mean Absolute Deviation of a data set, you need to find the ABSOLUTE VALUE of the differences between the mean and each score.  This means that 76-78 will be |76-78|, or 2.

Only then can you divide by 4. The correct answer should have been

[tex]|76-78|=2\\\\|62-78|=16\\\\|94-78|=16\\\\|80-78|=2[/tex]

[tex]2+2+16+16=36\\\\36\div4=9[/tex]

So 9 is the MAD of this data set.

Hope this helped!

Answer:

the person above me is right make that person the brainlyest

Step-by-step explanation:

Answer:

There is a 30 % probability of getting  a number greater  than 4.

In  fraction  it 6/20

In decimal it is 0.3

Step-by-step explanation:

The experimental probability is found out by dividing the total favorable outcomes with the total possible outcomes

P (x= 1) = 3/20= 0.15

P (x= 2) = 4/20= 0.2

P (x= 3) = 5/20= 0.25

P (x= 4) = 2/20= 0.1

P (x= 5) = 4/20= 0.2

P (x= 6) = 2/20= 0.1

Now probability greater than 4 = P (x=5) + P(x=6)

                                                   = 4/20 + 2/20= 6/20

                                                    = 0.2+ 0.1= 0.3

So multiplying it with 100 we get = 0.3* 100= 30%

There is a 30 % probability of getting  a number greater  than 4.

The sequence represents triangle,quadrilateral,pentagon,hexagon,heptagon.

A sequence is a set of numbers which represents some common relation or representation among these numbers.

The geometric representation of the sequence 3,4,5,6,7... can be.

Given it represents geometry so it can be angles,sides.It can also represent interior angles.

If this sequence represents sides then it is triangle, quadrilateral, pentagon, hexagon...

If it represents interior angles then this sequence is also of triangle, quadrilateral, pentagon, hexagon,heptagon.

learn more about sequence here :

https://brainly.com/question/21961097

#SPJ2

Answer:

2

Step-by-step explanation:

Simplify the following:

(-(2 + 2/3))/(-(1 + 1/3))

(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):

(2 + 2/3)/(1 + 1/3)

Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:

(2 + 2/3)/(3/3 + 1/3)

3/3 + 1/3 = (3 + 1)/3:

(2 + 2/3)/((3 + 1)/3)

3 + 1 = 4:

(2 + 2/3)/(4/3)

Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:

((3×2)/3 + 2/3)/(4/3)

3×2 = 6:

(6/3 + 2/3)/(4/3)

6/3 + 2/3 = (6 + 2)/3:

((6 + 2)/3)/(4/3)

6 + 2 = 8:

(8/3)/(4/3)

Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:

(8×3)/(3×4)

(8×3)/(3×4) = 3/3×8/4 = 8/4:

8/4

The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:

Answer: 2

Answer:

2

Step-by-step explanation:

Convert mixed fraction to improper fraction

[tex]-2\frac{2}{3}=-\frac{8}{3}\\\\\\-1\frac{1}{3}=-\frac{4}{3}[/tex]

[tex]-2\frac{2}{3}[/tex] ÷ [tex]-1\frac{1}{3} =[/tex] [tex]\frac{-8}{3}[/tex] ÷ [tex]-\frac{4}{3}[/tex]

                  [tex]=-\frac{8}{3}*-\frac{3}{4}\\\\\\=2 *1 \\\\= 2[/tex]

Answer:

1/2

Step-by-step explanation:

Cube root of .125 which is 1/8 is 1/2