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3 years ago

Urgent please answer

Mathematics

2 answers:

MrRa [10]3 years ago

8 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{24}}}}}$

Step-by-step explanation:

$\sf{ - 12( - 2)}$

$\dashrightarrow{ \sf{( - 12) \times ( - 2)}}$

Multiplying or dividing a negative integer by a negative integer gives a positive integer

i.e ( - ) × ( - ) = ( + )

( - ) ÷ ( - ) = ( + )

$\dashrightarrow{ \boxed{ \sf{24}}}$

Hope I helped!

Best regards! :D

Ghella [55]3 years ago

3 0

Answer:

Step-by-step explanation:

-12 x -2 = 24

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Sarah answered 24 questions on her test correctly and earned an 80%. How many questions were on the test?

MaRussiya [10]

Answer:

43 questions in total

Step-by-step explanation:

the original equation with the unknown (total number of questions on the test) will look like this

$\frac{total \: number \: of \: questions \: on \: exam}{24 \: answered \: questions} = 80\%$

we know this because to work out a percentage in the 1st place you need the total ÷ number (in this case it's ÷ how many questions out of the total she did answer)

now you rearrange.

you need to move the 24 to get the total on it's own here's how you do it

$\frac{tot \: num \: of \: qs}{24} \times 24 = 80\% \times 24$

what you do to one side of equation you have to do to the other. the 24 and 24 on the left will cancel because 24÷24=1 and we don't write

got mum of Q's x 1= 80 x 24

now you convert % to decimal

$80\% \times 100 = 0.80$

replace

$tot \: num \: qs \: = 24 \times 0.80 = 19$

now you take the original and + the 19

$24 + 19 = 43$

therefore there are a total of 43 questions on the exam

5 0

3 years ago

Plz help<br> and explain

vovikov84 [41]

To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.

We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.

The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.

Therefore
Area of band
$=(x+10)^2-x^2$ [recall $(a+b)^2=a^2+2ab+b^2$
$=x^2+20x+100-x^2$
$=20x+100$ or 20(x+5) if you wish.

8 0

3 years ago

42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0

almond37 [142]

Answer:

Step-by-step explanation:

The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:

-3 ± √21

x = -----------------

8 0

3 years ago

Evaluate f(x) = –x2 + 1 for x = –3. –9 4 –4 –8

Klio2033 [76]

Answer:

-63

Step-by-step explanation:

Write the problem as a mathematical expression.

$f(x)=-x^2+1$ $for$ $x =3-9$ $4-4-8$