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2 years ago

Show work step-by-step:

Mathematics

1 answer:

Verizon [17]2 years ago

3 0

Answer: (a) 8 (b) 12

Step-by-step explanation:

Given : The number of different kinds of soups = 6

The number of different kinds of salad = 2

(a) If you are having either soup or salad, then the total number of choices you have :-

$6+2=8$

Hence, the total number of choices you have = 8

(b) If you are having both soup and salad, then the number of choices you have :-

$6\times2=12$

Hence, the total number of choices you have = 12

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Mario simplified the expression (4 z Superscript 8 Baseline) Superscript negative 3 as shown. (4 z Superscript 8 Baseline) Super

GREYUIT [131]

Answer:

Step-by-step explanation:

Given the expression $(4z^8)^{-3}$ , to evaluate this, we will use one of the law of indices as shown;

$(a^m)^n = a^{mn}$

$4^{-3} * z^{8*-3}$

$= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\ \\= \frac{1}{64z^{24}}$

Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8

8 0

3 years ago

I’ll give you the crown and a lot of points please help with all of them

stiks02 [169]

Answer:

5) a

6) a

7) b

8) d

9) a

10) b

11) c

12) a

Step-by-step explanation:

When it asks for range it is asking for the y values so when you plug in numbers such as 0,1,2 into the equation the y values you get are {0,90,180..}

Overall slope can be found by taking the x and y values of the two given points.

((y value of the second point)-(y value of the first point))/((x value of the second point)-(x value of the first point))

Using (1,2) and (-2, 5) you can do this by plugin in the numbers (5-2)/(-2-1)

So the slope will be 3/-3 = -1

Once you find the slope you can use this to find the equation of a line by pluging in values into y=mx + b

m = slope

y = use this from the points given

x = use this from the points given

6 0

2 years ago

Ames wants to informally prove the converse of the Pythagorean Theorem by producing some evidence that supports it.

Mazyrski [523]

Answer:

The second and fourth one is right

Step-by-step explanation:

A²+ B² = C²

15² + 20² = 25²

225 + 400 = 625

625 = 625

16² + 30² = 34²

256 + 900 = 1156

1156 = 1156

They both check out

3 0

3 years ago

Two polygons are similar. The perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths is 3 4

Alisiya [41]

Answer:

Perimeter of the other polygon is 88 feet.

Step-by-step explanation:

We are given that, 'Two polygons are similar'.

Also, the perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths is $\frac{3}{4}$ .

As, we know,

'If two polygons are similar, the ratio of their perimeters is equal to the ratio of their side lengths'.

Thus, we have,

Let, the perimeter of the other polygon = x feet.

$\frac{3}{4}=\frac{66}{x}$

i.e. $x=\frac{66\times 4}{3}$

i.e. $x=\frac{264}{3}$

i.e. x= 88 feet

Thus, the perimeter of the other polygon is 88 feet.

8 0

2 years ago

Suppose DK is an angle bisector of △DEF. Given: EK=2, FK=5, DF=10. Find DE.

Inessa [10]

Answer:

DE = 4

Step-by-step explanation:

The bisector divides the triangle into proportional segments, so ...

FK/DF = EK/DE

5/10 = 2/DE . . . . substitute given values

DE = 4 . . . . . multiply by 2DE

8 0

2 years ago