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3 years ago

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Use the context of a 24-pack of soda to explain why 3/8 is NOT equivalent to 4/12.

1 answer:

Vsevolod [243]3 years ago

4 0

Answer:

Step-by-step explanation:

if we're going by a 24 pack of soda, 3/8 would be 9 sodas while 4/12 is a third, which would be 8 sodas

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Chloe has been offered a new job in the women’s shoe department at Macy’s. She has two salary options. She can receive a salary

Oksana_A [137]

She can recieve a salary of $600 per week. If she went with option number two then she would be getting like 500 dollars.

6 0

3 years ago

Vicente has a prism-like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store, and the store owner

PSYCHO15rus [73]

Answer:

1.25 m

Step-by-step explanation:

<u>Given</u>

Base = 1.2 m²
Height = h
Number of fish = 6
Density = 4 fish/m³

<u>Minimum volume required:</u>

6/4 = 1.5 m³

<u>Lowest water height:</u>

V= bh
h = V/b
h = 1.5/1.2 = 1.25 m

8 0

3 years ago

PLEASE HELP HURRY!!!!!!!

Charra [1.4K]

As it has been given that $x=4+5i$ , $y=2-9i$ .

We need to find the value of the following:

(i) $4x-y$ , substituting the value of 'x' and 'y' in the expression, we get:

$4(4+5i)-(2-9i)=4\times 4+4\times 5i-2+9i=16+20i-2+9i$

$=14+29i$

So, $4x-y=14+29i$

(ii) $-x+3y$ , substituting the value of 'x' and 'y' in the expression, we get:

$-(4+5i)+3(2-9i)=-4-5i+3\times 2-3 \times 9i=-4-5i+6-27i$

$=2-32i$

So, $-x+3y=2-32i$

(iii) $x \times y$ , we need to substitute the value of 'x' and 'y' in the expression, for this, we can use distributive property of multiplication that says,

$a(b+c)=a \times b+ a \times c$

Using the distributive property of multiplication:

$(4+5i)\times(2-9i)=4 \times 2-4 \times 9i+5i \times 2-5i \times 9i$

$=8-36i+10i-45i^2$

Now, we know that $i \times i=i^2=-1$

We get, $8-36i+10i-45 \times (-1)=8-26i+45$

$=8+45-26i=53-26i$

Therefore, $x \times y$ = $53-26i$ .

(iv) We have, $2x \times y$ , we need to substitute the value of 'x' and 'y' in the expression, we get:

$2(4+5i)\times (2-9i)$

Again, we can use distributive property of multiplication that says,

$a(b+c)=a \times b+ a \times c$

So,

$2(4+5i) \times (2-9i)=2\times 4+2 \times 5i\times(2-9i)$

$=8+10i \times(2-9i)=8\times 2-8 \times 9i+10i \times 2-10i \times 9i$

$=16-72i+20i-90i^2$

since, $i^2=-1$

we get,

$16-72i+20i-90 \times (-1)=16-52i+90$

$=106-52i$

Therefore,

$2x \times y=106-52i$

7 0

3 years ago

Read 2 more answers

The equation x + 2y = 16 is in standard form.

zheka24 [161]

X+2y=16
Subtract x from both sides
2y= -x+16
Divide both sides by 2
Y=-1/2x+8
Slope is -1/2 or - .5

5 0

3 years ago

How to make a the subject of this: <br> W= 3(2a+b) - 4

Basile [38]

Answer: a = $\frac{W-3b+4}{6}$

<u>Step-by-step explanation:</u>

W = 3(2a + b) - 4

W = 6a + 3b - 4

W - 3b + 4 = 6a

$\frac{W-3b+4}{6}$ = a

8 0

3 years ago

Read 2 more answers