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AysviL [449]
3 years ago
8

Can someone help me with this?

Mathematics
2 answers:
JulijaS [17]3 years ago
8 0

Answer:

19.53

Step-by-step explanation:

First let's find the new price of the backpack:

40% of 29.99 is

29.99 * 0.40 = 11.99

So the new price of the backpack is

29.99 - 11.99 = 18.00

Now let's find the price with tax

8.5% of 18.00 is

18.00 * 0.085 = 1.53

So the cost of the backpack is

18.00 + 1.53 = $19.53

olga55 [171]3 years ago
4 0

Answer:

$19.52

Step-by-step explanation:

29.99 x 0.60 = 17.994, (60% of 29.99)

1.085 x 17.994 = 19.52349 = $19.52 (2dp) , - (Add 8.5% Tax)

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(CESGRANRIO) Determine o parâmetro m na equação x²+mx+m²-m-12=0, de modo que ela tenha uma raíz nula e outra positiva.
slavikrds [6]
Vamos lá. 

<span>Pede-se para determinar o parâmetro "m" da equação abaixo, sabendo-se que uma raiz é nula e a outra é positiva: </span>

<span>x² + mx + m² - m - 12 = 0 </span>

<span>Veja que se uma raiz é nula (é igual a zero), então vamos substituir o "x" por "0", na equação acima: </span>

<span>0² + m*0 + m² - m - 12 = 0 </span>
<span>0 + 0 + m² - m - 12 = 0 </span>
<span>m² - m - 12 = 0 ------resolvendo essa equação do 2º grau você encontrará as seguintes raízes: </span>

<span>m' = -3 </span>
<span>m'' = 4 </span>

<span>Dessa forma, vamos substituir "m" por (-3) e por 4 e ver se a equação terá uma raiz nula e outra positiva. Vamos ver? </span>

<span>Substituindo "m" por "-3", ficamos com: </span>

<span>x² - 3x + (-3)² - (-3) - 12 = 0 </span>
<span>x² - 3x + 9 + 3 - 12 = 0 </span>
<span>x² - 3x +12 - 12 = 0 </span>
<span>x² - 3x = 0 <------Veja que as raízes dessa equação são: x' = 0 e x'' = 3 </span>
<span>Veja que para m = -3, a equação se verifica, pois temos uma raiz igual a "0" e a outra positiva (igual a 3). </span>

<span>Agora vamos substituir "m" por 4 na equação original: </span>

<span>x² + 4x + 4² - 4 - 12 = 0 </span>
<span>x² + 4x + 16 - 16 = 0 </span>
<span>x² + 4x = 0 <----- Veja que as raízes dessa equação são: x' = 0 e x'' = -4. </span>
<span>Observe que, para m = 4, a equação NÃO se verifica, pois temos uma raiz igual a "0" e a outra negativa (igual a -4). E no enunciado é informado que uma raiz deverá ser nula e a outra positiva. Como deu uma nula e a outra negativa, então m = 4 não convém. </span>

<span>Logo, o valor de "m" deverá ser: </span>

<span>m = -3 <----Pronto. Essa é a resposta. </span>
4 0
2 years ago
Y
8090 [49]

The area of the triangle will be 24912 sq. units. Square units and other similar units are used to measure area.

<h3>What is the area?</h3>

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area.

For:

(X1, Y1) = (1, 15)

(X2, Y2) = (-2, 1)

d = 14.317821

For:

(X₂, Y₂) = (-2, 1)

(X₃, Y₃) = (4, 5)

d = 7.211103

For applying the pythogorous them we need the right angle triangle obtained by bisect from the mid point.

The value of the base is;

⇒7.2 / 2

⇒3.6

apply the pythogorous theorem for finding the height;

h² = p² + b²

14.31² = p² + 3.6²

p = 13.84

The area of the triangle is;

\rm A = \frac{1}{2}\times b \times h \\\\ A= \frac{1}{2} \times 3.6 \times 13.84 \\\\ A = 24.912

Hence, the area of the triangle will be 24912 sq. units.

To learn more about the area, refer to the link;

brainly.com/question/11952845

#SPJ1

6 0
1 year ago
PLEASE HELP! I WILL MARK YOU BRAINIEST
poizon [28]

Answer:

a=2.4

Step-by-step explanation:

7 0
2 years ago
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Brut [27]

Answer:

5 packages of water and 3 packages of cheese sticks

Step-by-step explanation:

the least common multiple of 6 and 10 is 30

4 0
2 years ago
Read 2 more answers
Last Tuesday was silly hat day at Toby's school. 74 students wore a silly hat and 666 students did not. What percentage of the s
valina [46]

Answer:

10%

Step-by-step explanation:

The total population of students will be equal to the sum of both those who wore the silly hat and those who didn't hence

Total students= 74+666=740

Number of students who wore silly hat is given as 74 hence when expressed as a percentage of the total students' population we get that

percentage of the students wore a silly hat=\frac {74\times 100}{740}=10\%

Therefore, 10% of students wore a silly hat last Tuesday

4 0
2 years ago
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