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4 years ago

How to write -0.84 as a decimal fraction or mixed number in simplest form

1 answer:

7 0

-0.84 has two decimals, therefore, to put it in a fraction form, we'll use two zeros at the bottom and lose the dot above, notice, two decimals, then two zeros,

$\bf -0.\underline{84}\implies -\cfrac{084}{1\underline{00}}\implies -\cfrac{84}{100}\implies \cfrac{21}{25}$

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video games six hours every weekend. he also plays 2 hours each day of the week. how many hours does mr.danie spend playing vide

Juliette [100K]

Answer:66 hours of video games in three weeks!

Step-by-step explanation:First you would multiply 6 by 2 because the weekend refers to Saturday and Sunday which are two days,when you multiply 6 by 2 you get 12.Next you would multiply 2 by 5 because the problem says 2 hours each day of the week,when you multiply 2 by 5 you get 10.Then you add 10 and 12 which gets you to 22.Last but not least you multiply 22 by 3 because the question says how many hours does mr.danie spend playing video games over <em>3 weeks,</em>which bring you to 66!

I hope I helped!

4 0

3 years ago

Point P divides the directed segment from A to B in the ratio 9 to 2. The coordinates of point A are

Andreyy89

Answer:

$B =(3.3,1.7)$

Step-by-step explanation:

Given

$A(x_1,y_1) = (-4,-2)$

$P(x,y) = (2,1)$

$m : n = 9 : 2$

Required

The coordinates of $B(x_2,y_2)$

The line segment from ratio is calculated as:

$(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Substitute: A, P, m and n

$(2,1) = (\frac{9 * x_2 + 2*-4}{9+2},\frac{9*y_2 +2 *-2}{9+2})$

$(2,1) = (\frac{9x_2 -8}{11},\frac{9y_2 -4}{11})$

Multiply through by 11

$(22,11) = (9x_2 -8,9y_2 -4)$

By comparison:

$9x_2 - 8 = 22$

$9y_2 - 4 = 11$

So, we have:

$9x_2 - 8 = 22$

$9x_2 = 22 +8$

$9x_2 = 30$

Solve for x2

$x_2 = 30/9$

$x_2 = 3.3$

$9y_2 - 4 = 11$

$9y_2 = 11+4$

$9y_2 = 15$

Solve for y2

$y_2 =15/9$

$y_2 =1.7$

So, the coordinates of B is:

$B =(3.3,1.7)$

5 0

3 years ago

Write the equation of the line described.<br> Through (0,-1), parallel to y = x + 5

wariber [46]

Y=3× +6 is your answer

4 0

3 years ago

A hockey puck slides across an ice pond at a constant speed of 18 meters per second. Complete the table to determine the distanc

Lelu [443]

Answer:

1 18

2 36

3 54

4 72

Step-by-step explanation:

18 m/s every second means you multiply the time by rate (to get the distance traveled in 2 seconds, multiply 18m/s by 2 to get 36)

4 0

3 years ago

Find the zeros and complete the factorization

vovikov84 [41]

Answer:

$(x^{2} -\sqrt{5} )(x^{2} +\sqrt{5} )(x^{2} +4)$

Step-by-step explanation:

$x^{4} -x^{2} -20\\if x^{2} =y\\y^{2} -y -20\\y^{2} -5y +4y - 20\\y(y-5)+4(y-5)\\(y-5)(y+4)\\since x^{2} =y\\(x^{2} -5)(x^{2} +4)\\(x^{2} -\sqrt{5} )(x^{2} +\sqrt{5} )(x^{2} +4)$

6 0

3 years ago