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3 years ago

What is the difference of 21 15/16 minus 18 3/4 ?

1 answer:

5 0

$21 \frac{15}{16}-18 \frac{3}{4}=21 \frac{15}{16} - 18 \frac{3 \times 4}{4 \times 4}=21 \frac{15}{16}-18 \frac{12}{16}=\boxed{3 \frac{3}{16}}$

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Slope -5,y-intercept (0,3)<br> What is f(x)

MA_775_DIABLO [31]

Answer:

$f(x)=-5\ x+3$

Step-by-step explanation:

Given:

Slope of line =-5

y-intercept = $(0,3)$

The equation of line is given by :

$f(x)=m\ x+b$

where $m$ represents slope of line and $b$ represents y-intercept.

So from the given data, we have $m=-5$ and $b=3$

∴ The equation of line is given by:

$f(x)=-5\ x+3$

8 0

3 years ago

ian is trying to estimate the distance across the lake d. he knows the measures shown in the diagram. which estimate is closest

masya89 [10]

Answer: The estimate is closest to the distance d is 4.2 miles

Step-by-step explanation:

In the given image, we can see that there is a right triangle, in which d is the side opposite to the right angle (largest angle in the triangle) which means its the longest side of the triangle.

[Since side opposite to the larger angle is larger]

Therefore, by Pythagoras Theorem we have

$d^2=(3.6)^2+(2.2)^2\\\Rightarrow\ d^2=12.96+4.84\\\Rightarrow\ d^2=17.8\\\Rightarrow\ d=\sqrt{17.8}\\\Rightarrow\ d=4.2190\approx4.2$

The estimate is closest to the distance d is 4.2 miles.

7 0

3 years ago

A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning

zvonat [6]

Answer: $46x^2+73x+15$

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

$A=lw$

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are $(6x+7)$ by $(8x+5)$ , its area is:

$A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35$

As they are planning that the dimensions of the mural be $(x+4)$ by $(2x+5)$ , its area is:

$A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20$

Then the area of the remaining wall after the mural has been painted is:

$A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15$

8 0

4 years ago

Please answer it for me too

djyliett [7]

Answer:

Step-by-step explanation:

I hope i got it correct :)

6 0

3 years ago

Read 2 more answers

2. A rectangle has a perimeter of 100. Its

slava [35]

Answer:

Option H

Step-by-step explanation:

Perimeter of rectangle= 2(length) +2(width)

100= 2(5a -22) +2[½(a +1)]

Expand:

100= 2(5a) +2(-22) +a +1

100= 10a -44 +a +1

Simplify:

100= 11a -43

+43 on both sides:

11a= 100 +43

11a= 143

Divide both sides by 11:

a= 143 ÷11

a= 13

Thus, option H is correct.

8 0

3 years ago