Convert the temperature 288 K to degrees Celsius.a. 748°C
b. 561°C
c. –172°C
d. 15°C

Step-by-step explanation:

always try to bring fractions you need to compare to the same denominator (bottom number).

we have 9/10 of the pizza left.

then 4/5 if the pizza are eaten.

how to compare 9/10 with 4/5 ?

by bringing 4/5 also to a fraction of 10ths.

what do I need to multiply 5 with to get 10 ?

right, 2.

since we don't want to change the overall value of the original fraction, we need to multiply both levels (numerator and denominator) by that same factor :

4/5 × 2/2 = 8/10

aha !

that we can compare with 9/10.

so, when Lucas ate 4/5 (= 8/10) of the pizza, when there was originally 9/10 left, then we have 1/10 of the pizza left.

The sign of coordinate will changes as (8,2) after 180° rotation about the origin.

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

As per the given coordinate (–8, –2).

If we rotate it by 180° about the origin no matter clockwise or anti-clockwise the coordinate will shifts in the first quadrant at (8,2) as shown below.

Hence "The sign of coordinate will changes as (8,2) after 180° rotation about the origin".

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Answer:

(8,2)

Step-by-step explanation:

Rotating a point 180° basically puts it in the quadrant across from it, in this case, the (x,y) quadrant.

Answer:

66 + 1 ( not fully shaded ) squares will be shaded.

66.67% region will be shaded

Step-by-step explanation:

It is given that Marks uses a grid to model percent equivalent of .

Let us assume that Mark uses a model containing 100 grids.

Now, as the grids are divided into region equivalent to i.e. it is divided into 3 parts.

Moreover, 2 out of those 3 parts will be shaded.

As,

i.e. =66.67%

So, it gives us that 66 squares in the grid will be fully shaded and one will not be fully shaded.

Hence, 66 + 1 ( not fully shaded ) squares will be shaded and in percent, 66.67% of the region will be shaded.

Final answer:

To represent the fraction 2/3 on a grid, approximately 67% of the squares on the grid should be shaded. This means such a fraction corresponds to 67 out of 100 squares on a 100-square grid or equivalently 67% shaded.

Explanation:

To determine how many grid squares Mark should shade to model the percent equivalent of the fraction 2/3, we need to understand the relationship between fractions, decimals, and percents. When we convert the fraction 2/3 into a decimal, we get approximately 0.67. To represent this as a percent, we multiply by 100, which gives us 67%. So, about 67 out of 100 squares should be shaded.

Let's say Mark's grid has 100 squares (10 rows by 10 columns). In that case, he would shade about 67 squares to represent 2/3 as a percent. If the grid contains fewer than 100 squares, he would need to adjust accordingly.

In summary, the model would show about 67% shaded.

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The solution of expression 4m + 9 + 5m - 12 = 42 by combining like terms is,

⇒ c = 6

Given that,

A mathematical expression is,

⇒ 7c + 12 = -4c + 78

Now, simplify the expression by combining like terms and solve for m as,

⇒ 7c + 12 = -4c + 78

Combine like terms by adding 4c and subtracting 12 on both sides,

⇒ 7c + 4c = 78 - 12

⇒ 11c = 66

Divide by 11 on both sides,

⇒ c = 66/11

⇒ c = 6

So, the solution is,

⇒ c = 6

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Answer:

Option (b) is correct.

Step-by-step explanation:

Given: Polynomial and

We have to find the sum of given polynomial and choose the correct option from given options.

Consider the given Polynomial and

We have to find the sum that is

Apply plus minus rule

We have,

Now adding like terms, we have,

Like terms are terms having same variable with same degree.

Simplify , we have,

Thus, option (b) is correct.