A rectangle has a width of (4g) and a length of (28 - 3). The perimeter of the rectangle is 54 units. What is the

If <img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B4%7D%20%3D%20%5Cfrac%7Bb%7D%7B7%7D" id="TexFormula1" title="\frac{a}{4} =

tamaranim1 [39]

Answer:

Step-by-step explanation:

$\frac{a}{4}=\frac{b}{7}\\a=\frac{4b}{7} \\\frac{a-b}{b} =\frac{\frac{4b}{7}-b }{b} \\=\frac{4b-7b}{7b}\\ =\frac{-3b}{7b}\\ =\frac{-3}{7}$

6 0

3 years ago

Problem: Match each value on the left with the number on the right that includes that value.

Anestetic [448]

Answer:

5 Thousands ⇒ 45,089

8 Hundreds ⇒ 958,823

3 millions ⇒ 3,072,700

2 Ten thousands ⇒ 7,426,580

7 Hundred Thousands ⇒ 752,671

Step-by-step explanation:

Solution:

We need match the numbers with given set of numbers.

Now,

5 thousands ⇒

So we can say that from given set of the numbers we need to find the number 5 belongs in thousands place.

So we can say that the number 5 in thousands place from given of number is ;

5 Thousands ⇒ 45,089

8 Hundreds ⇒

So we can say that from given set of the numbers we need to find the number 8 belongs in hundred place.

So we can say that the number 8 in Hundred place from given of number is ;

8 Hundreds ⇒ 958,823

3 Millions ⇒

So we can say that from given set of the numbers we need to find the number 3 belongs in millions place.

So we can say that the number 3 in Millions place from given of number is ;

3 millions ⇒ 3,072,700

2 Ten thousands ⇒

So we can say that from given set of the numbers we need to find the number 2 belongs in Ten thousands place.

So we can say that the number 3 in Ten Thousands place from given of number is ;

2 Ten thousands ⇒ 7,426,580

7 Hundred thousands ⇒

So we can say that from given set of the numbers we need to find the number 7 belongs in Hundred thousands place.

So we can say that the number 7 in Hundred Thousands place from given of number is ;

7 Hundred Thousands ⇒ 752,671

Hence the matching numbers are

5 Thousands ⇒ 45,089

8 Hundreds ⇒ 958,823

3 millions ⇒ 3,072,700

2 Ten thousands ⇒ 7,426,580

7 Hundred Thousands ⇒ 752,671

6 0

2 years ago

50 POINTS IF ANSWERED, BRAINLIEST IF EXPLAINED

puteri [66]

M=change in y/change in x
Finding gradient of the orginal line
=3+1/0-3
=-4/3
Since parallel lines are equal the other line would be -4/3 (gradient)
Sub (-3;2) into y=mx+c
2=-4/3 (-3)+c
2=4+5
2-4=c
-2 = c

Therefore sub all your info and you get y= -4/3x-2

6 0

2 years ago

Solve the simultaneous equations by substitution. x = y + 1 and x + 3y<br> = 5

KiRa [710]

Answer:

X=2

Y=1

Hope It Helps

Thank You

4 0

2 years ago

Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x.

AnnyKZ [126]

The total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

Let's suppose the quadratic function is:

c(x) = ax² + bx + c

Plug c(x) = $16

x = 2

16 = 4a + 2b + c ...(1)

Plug c(x) = $18

x = 4

18 = 16a + 4b + c ...(2)

Plug c(x) = $48

x = 10

48 = 100a + 10b + c ...(3)

After solving equations (1), (2), and (3) by substitution method:

a = 0.5

b = -2

c = 18

c(x) = 0.5x² -2x + 18

Plug x = 6 widgets:

c(6) = 0.5(36) - 12 + 18 = $24

Thus, the total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

5 0

2 years ago