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3 years ago

When Marla rounded 19.95 to the nearest tenth she found the number change to 20 is this correct. Explain

1 answer:

5 0

Yes, because a number that is 5 or higher, rounds up. so the five would make the 9 round up, which would make the 19 go to a 20

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There are 15 coins, which are nickels and dimes only, in Ediths purse. The total value of the coins in her purse is $1.15. If n=

Goshia [24]

Answer:

n=7 d=8

Step-by-step explanation:

n+d=15 d=15-n

0.05n+0.1(15-n)=1.15

0.05n-0.1n+1.5=1.15

-0.05n=-0.35

n=7 d=8

5 0

2 years ago

A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.

IgorC [24]

Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Let's plug the points and get the equation of the line:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3$

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

$y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2$

4 0

3 years ago

Read 2 more answers

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

Need help finding this answer

Cloud [144]

Answer: The first option.

Step-by-step explanation:

1. The formula for calculate the perimeter is:

P=2l+2w

Where l is the lenght and w is the width.

2. The first perimeter is:

$P_1=2(105m)+2(12.5m)=235m$

3. If you multiply the dimension by a scale of factor of 2, is the same as write the following expression:

$P_2=2(2l+2w)$

Where $2l+2w$ is the first perimeter.

4. Then:

$P_2=2(235m)=470m$

4 0

3 years ago

Read 2 more answers

Help meee will give brainly! Find the domain of the function f(x)=5x−9 . DONT SAY I DONT KNOW

Agata [3.3K]

Answer and Step-by-step explanation:

$\frac{5}{x-9}$

The domain is all real numbers except 9 (positive)

This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is not included.

#teamtrees #WAP (Water And Plant)

7 0

3 years ago