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3 years ago

Help ASAP!!what is the difference of 2 2/5? what can be the equation

Mathematics

1 answer:

Elan Coil [88]3 years ago

8 0

Answer:

Step-by-step explanation:

2 is a whole number and in 2/5 5 is the whole. so 2/5 is like saying you need 5 cups but there is already 2 there :)

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Can you help me with my math questions

GrogVix [38]

$p^2+2(7)p+7^2=(p+7)^2$

Justification:

Given: $p^2+14p+49$

Split the middle term;

$=p^2+7p+7p+49$

Factor:

$=p(p+7)+7(p+7)$

$=(p+7)(p+7)$

$=(p+7)^2$

QUESTION 3a

The given expression for the area of the rectangle is $36x^2-12x+1$ .

This is equal to the indicated area which is $289\;in^2$

This implies that

$36x^2-12x+1=289$

$\Rightarrow (6x-1)^2=289$

$\Rightarrow (6x-1)(6x-1)=289$

$\Rightarrow l=(6x-1),w=(6x-1)$

This implies that, the dimensions of the rectangle are equal;

Using the square root method, we obtain

$\Rightarrow (6x-1)=\pm \sqrt{289}$

$\Rightarrow (6x-1)=\pm 17$

$\Rightarrow 6x=1\pm 17$

$\Rightarrow 6x=18 \:or\:6x=-16$

$\Rightarrow x=3 \:or\:x=-\frac{2}{3}$

We discard the negative value.

The side length of this rectangle is

$\Rightarrow l=(6(3)-1)=17,w=6(3)-1=17$

QUESTION 3b

The given expression for the area of the rectangle is $25x^2-50x+25$ .

This is equal to the indicated area which is $1225\;in^2$

This implies that

$25x^2-50x+25=1225$

$25(x^2-2x+1)=1225$

$(5(x-1))^2=35^2$

$5(x-1)5(x-1)=49$

$\Rightarrow l=5(x-1),w=5(x-1)$

This implies that, the dimensions of the rectangle are equal;

Using the square root method, we obtain

$\Rightarrow 5(x-1)=\pm \sqrt{1225}$

$\Rightarrow 5(x-1)=\pm 35$

$\Rightarrow x=1\pm 7$

$\Rightarrow x=8 \:or\:x=-6$

We discard the negative value.

The side length of this rectangle is

$\Rightarrow l=5(8-1)=35,w=5(8-1)=35$

QUESTION 3c

The given expression for the area of the rectangle is $49x^2-56x+16$ .

This is equal to the indicated area which is $289\;in^2$

This implies that

$49x^2-56x+16=289$

$(7x-4)^2=289$

$(7x-4)(7x-4)=289$

$\Rightarrow l=(7x-4),w=(7x-4)$

Applying the laws of indices gives;

$(7x-4)^2=17^2$

This implies that;

$7x-4=17$

$7x=21$

$x=3in.$

The side length of this rectangle is

$\Rightarrow l=7(3)-4=17\:in.,w=7(3)-4=17\:in.$

Dont forget that the square is also a rectangle.

5 0

3 years ago

Read 2 more answers

A programmer wants to display how the shape of a rectangle with a fixed perimeter of 375 inches can be changed by varying the re

Nina [5.8K]

Answer:

A = 187.5L - L^2

So,

g(l) = 187.5l - l^2

Step-by-step explanation:

The perimeter of a rectangle is given by:

P = 2(L + B)

Where P = perimeter

L = Length

B = Width

Making B the subject of formula, we have;

B = P/2 - L ......1

The area of a rectangle is:

A = L × B ........2

Substituting equation 1 to 2.

A = L × (P/2 - L)

A = LP/2 - L^2 .......3

Given that the perimeter P = 375 inches

A = L(375)/2 - L^2

A = 187.5L - L^2

So,

g(l) = 187.5l - l^2

7 0

3 years ago

The formula for finding the area of a triangle is A = 1/2bh. A triangle has height 12 in. and area 54in^2. What is the length of

KatRina [158]

Answer:

9in

Step-by-step explanation:

54 = 1/2(12*x)

54 = 6*x

x = 9

Check

12 x 9 = 108

108/2 = 54

8 0

3 years ago

If (x+5) is a factor of 3x^2+14x+k, what is the value of k?

kherson [118]

If (x+5) is a factor the equation will equal zero when x=-5 so

3(-5^2)+14(-5)+k=0

75-70+k=0

5+k=0

k=-5

7 0

3 years ago

Because of the rainy season, the depth in a pond increases 3% each week. Before the rainy season started, the pond was 10 feet d

Dafna11 [192]

It's not perfectly clear, but you seem to be saying that each week, the
pond becomes 3% deeper than it was THE PREVIOUS WEEK.

If I'm reading that correctly, then the pond is 10-ft deep when the rainy
season begins, and after 'x' weeks later, the depth is

   D = 10 (1.03)^x feet.

After 8 weeks, the depth is D = 10 (1.03)⁸ = 12.67 feet .

       rounded to the nearest foot, D = 13 ft.

7 0

3 years ago

Read 2 more answers