The length of a rectangle is 4 cm longer than its width.
If the perimeter of the rectangle is 60 cm, find its length and width.

Answer:

x = 97

Step-by-step explanation:

X - 24 = 73

Add 24 to each side

X - 24+24 = 73+24

x = 97

[tex]\text{Hello! :D}[/tex]

[tex]\large\boxed{x = 97}[/tex]

[tex]\text{x - 24 = 73}[/tex]

[tex]\text{Solve for x by adding 24 to both sides:}[/tex]

[tex]x- 24 + 24 = 73 + 24\\\\x = 97[/tex]

Answer:

5x - y = -20

Hope this helps.

Answer:

9,000

Step-by-step explanation:

9474

Locate the thousands place:

9474

Check the number to the right:

9474

If the number is greater than or equal to 5, we round up. If the number is less than or equal to 4, we round down.

Since there is a '4', we round down.

9474 ≈ 9000

Hope this helps.

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

We require to create 2 fractions with the repeating 2 after the decimal point.

let x = 0.22.... → (1) ← multiply both sides by 10

10x = 2.22....... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

9x = 2 ( divide both sides by 9 )

x = [tex]\frac{2}{9}[/tex]

Thus

0.22..... = [tex]\frac{2}{9}[/tex]

Answer:

2/9

Step-by-step explanation:

We require to create 2 fractions with the repeating 2 after the decimal point.

let x = 0.22.... → (1) ← multiply both sides by 10

10x = 2.22....... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

9x = 2 ( divide both sides by 9 )

x =

Thus

0.22..... =

[tex]\text{Hello!}[/tex]

=+=+=+=+=+=+=+=+=+=+=

[tex]\text{Formula: } \boxed{5/4n - 7 = m}[/tex]

[tex]\text{ When n = 40, } \boxed{m = 43}[/tex]

[tex]\text{ Isolate for m:}[/tex]

[tex]\text{Begin by dividing both sides by 4/5 (multiply by reciprocal):}[/tex]

[tex]n = 4/5(m + 7 ) \text{ becomes } 5/4n = m + 7[/tex]

[tex]\text{Subtract 7 from both sides to isolate "m"}[/tex]

[tex]5/4n - 7 = m[/tex]

[tex]\text{Substitute n = 40 into the equation to solve for "m":}[/tex]

[tex]5/4(40) - 7 = m\\\\50 - 7 = m\\\\m = 43[/tex]

Answer:

11 pounds of flour and 16.5 sticks of butter

Step-by-step explanation:

2/64 = 0.03125

3/64 = 0.046875

0.03125 * 352 = 11

0.046875 * 352 = 16.5

Answer:

15 1/2 sticks of butter, and 11 pounds of flower, hoped this helped.

Step-by-step explanation:

Answer:

60 gummy bears in total

Step-by-step explanation:

20% of the gummy bears are blue.

12 gummy bears are blue

That means 6 gummy bears is 10% of the total.

6*10=60

100%=60 gummy bears.

Answer:

SU= 14

Step-by-step explanation:

if QU= 24 and RU= 19 then you can subtract 24-19=5. and if QR=RS=ST then you subtract 19-5=14

Answer: 2.83

Step-by-step explanation:

Use the distance formula

Answer:

50v

Step-by-step explanation:

The equation would be 50v, because $62 is the original value, or v, and we are trying to find the value of the card now. Which is now 50 times the original price, $62.

Answer:

There are no x-intercepts

Step-by-step explanation: This is because the parabola does not pass through the x-axis at all.

Answer:

no x intercept

Step-by-step explanation:

The x intercept is the value where it crosses the x axis.

This functions does not cross the x axis

There is no x intercept

Answer:

Step-by-step explanation:

Put (-6,0) and (0,3) into a table of values

form of the equation: mx+b

x -6 0

y 0 3

3/-6=-0.5 (m)

3=b (the value of y when x=0)

equation: y=0.5x+3

Answer:

200 students

Step-by-step explanation:

Since there are 7 buses and 6 of them are full you would multiply 30•6. Then you would multiply 2/3 with 30 to find how many are on the 7th bus, which is 20. So you would add 180 and 20 to get the answer

2a + 2b = c

Subtract 2a from both sides

2b = -2a + c

Divide both sides by 2

b = -a + (c/2)

Answer:

-2.5 is correct answer

Answer:

1/4n - 3

Step-by-step explanation:

1/4 of a number means multiplying 1/4 to n. So we can write 1/4n. Now we write the subtract 3 portion. 1/4n - 3.

The expression n = 1/4n - 3 shows that Emily's number can be obtained by adding 3 to one-fourth of her number.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Emily's number can be represented as:

n

One-fourth of Emily's number can be represented as:

1/4n

Subtracting 3 from one-fourth of Emily's number gives us:

1/4n - 3

Therefore, the expression that represents Emily's number is:

n = 1/4n - 3

This expression shows that Emily's number can be obtained by adding 3 to one-fourth of her number.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ7

Answer:

The correct numbers are;

1) 0

2) 25

3) 1.25

4) 2.5

When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit

Step-by-step explanation:

The given equation for the height of the ball, h(t), in feet, is given as follows

h(t) = 40·t - 16·t²

Therefore;

1) When the ball is hit at 0 seconds, it has a height of h(0) = 40×0 - 16×0² = 0 feet

2) The time to reach maximum height by the ball is found by taking the derivative (slope) of the function for the height of the ball and noting that at maximum height, the derivative (slope) = 0

Therefore;

h'(t) = 40 - 2 × 16·t = 0

40 - 32·t = 0

t = 40/32 = 5/4 seconds = 1.25 seconds

3) The maximum height is then found from the value of the function at t = 5/4 seconds as follows;

h(5/4) = 40×5/4 - 16×(5/4)² = 50 - 25 = 25 feet

4) The time in which the ball reaches the ground where h(t) = 0 is given from the formula for the height of the gulf ball as follows;

h(t) = 0 = 40·t - 16·t²

40·t - 16·t² = 0

(40 - 16·t)·t = 0

Therefore;

t = 0 seconds or t = 40/16 = 2.5 seconds

(40 - 16·t) = 0/t = 0

t = 40/16 = 2.5 seconds

Therefore, the filling the blanks with the correct numbers gives;

When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit

Answer:

4544

Step-by-step explanation:

1136 *4 = 4544

Answer:

0

Step-by-step explanation:

4x+ 2( 3 – 3x) = 6

4x+6-6x=6

6-2x=6

6-6=2x

0/2=x

x=0

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

[tex]4x+2\left(3-3x\right)=6[/tex]

Expand:

[tex]4x+2\times3-2\times3x=6[/tex]

[tex]4x+6-6x=6[/tex]

[tex]-2x+6=6[/tex]

Subtract 6 from both sides:

[tex]-2x+6-6=6-6[/tex]

[tex]-2x=0[/tex]

Divide both sides by -2:

[tex]\frac{-2x}{-2}=\frac{0}{-2}[/tex]

[tex]x=0[/tex]

Answer:

$29.15

Step-by-step explanation:

Step 1:

$53 × 55%

Step 2:

53 × 0.53

Answer:

29.15

Hope This Helps :)

Answer:

The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.

Step-by-step explanation:

7+8=15

15+8=23

23+8=31

31+8=39

39+8=47

47+8=55

Answer:

96 and 192 calories

Step-by-step explanation:

Given

Divide both by 3/4 to find the unit rate:

Then multiply both by 2 to get the calories for 2 cups:

Answer:

$2.25

Step-by-step explanation:

73.80/32.8

Answer:

  an = 6 +8(n -1)

Step-by-step explanation:

Usually, you're asked for a general term when you're studying arithmetic and/or geometric sequences. One way to tell which kind of sequence you have is to look at the differences between adjacent terms. If they are all the same, the sequence is arithmetic, and the general term is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference.

Here, the differences are ...

  14 -6 = 8

  22 -14 = 8

  30 -22 = 8

These are all the same, hence a "common" difference. The first term is 6, so the general term is ...

  an = 6 +8(n -1)

Answer:

y = 8x - 26

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (4, 6)

m = [tex]\frac{6+2}{4-3}[/tex] = 8 , thus

y = 8x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 6) , then

6 = 32 + c ⇒ c = 6 - 32 = - 26

y = 8x - 26 ← equation of line

Answer:

price of tv = 3000

discount =1560

discount % = 1560/3000 * 100% = 52%

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Formula =discount ×100÷original price

1560×100÷3000=52%

Answer:

12m^2(a)

Step-by-step explanation:

Multiply 3m by 4m for a paralolegram.

(l*w)

Answer:

2.80×50

Step-by-step explanation:

2.80×50 step by step

Answer:

(-6,300)

Step-by-step explanation:

Answer:

(-6,300)

Step-by-step explanation:

(x,y)

then:

x = -6

y = 300

then:

(-6 , 300)