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3 years ago

If an object travels at 0.9 cm per second how many meters does it travel in 3 hours

1 answer:

4 0

$\dfrac{0.9\,cm}{s}\cdot3\,h\cdot\dfrac{3600\,s}{h}\cdot\dfrac{1\,m}{100\,cm}=97.2\,m$

The object will travel 97.2 meters in 3 hours.

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A number is 6 greater than 1/2 another number. If the sum of the numbers is 21,find the numbers.

Fed [463]

X = (1/2)y + 6
x + y = 21

Substitute (1/2)y + 6 as x into the equation x + y = 21 since x = (1/2)y + 6.
[(1/2)y + 6] + y = 21
0.5y + 6 + y = 21
1.5y = 15
y = 10

Same thing, now substitute 10 as y in the other equation.
x + y = 21
x + (10) = 21
x = 11

7 0

3 years ago

Square Root

Oxana [17]

Answer:

1). $(x+\frac{1}{4})^{2}=\frac{4}{9}$

2). $x+\frac{1}{4}=\pm \frac{2}{3}$

Step-by-step explanation:

Here the given equation is $x^{2}+\frac{1}{2}x+\frac{1}{16}=\frac{4}{9}$

We have to factor the perfect square trinomial on the left side of the equation

So left side of the equation is $x^{2}+\frac{1}{2}x+\frac{1}{16}$

= $x^{2}+2\times \frac{1}{4}x+(\frac{1}{4})^{2}$

$=(x+\frac{1}{4})^{2}$ since [(a+b)²= a²+b²+2ab]

Therefore the factorial form of the equation will be

$(x+\frac{1}{4})^{2}=\frac{4}{9}$

Now we have to solve the equation by applying square root property

$\sqrt{(x+\frac{1}{4})^{2}}=\sqrt{\frac{4}{9}}$

$x+\frac{1}{4}=\pm \frac{2}{3}$

5 0

3 years ago

Read 2 more answers

I still need help on this please

lapo4ka [179]

Answer:

x = $\frac{85}{3}$

Step-by-step explanation:

From the figure attached,

ΔABC ~ ΔADE

Therefore, by the property of similar triangles corresponding sides of the given triangles will be proportional.

$\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}$

$\frac{AB}{AD}=\frac{BC}{DE}$

$\frac{12}{20}=\frac{17}{x}$

x = $\frac{20\times 17}{12}$

x = $\frac{85}{3}$

8 0

3 years ago

Dominique used the inequality below to find the maximum number of sweatshirts she could purchase with her savings.

Kruka [31]

We just have to find the closest number that can be multiplied by 32 and still be under 300. Do this by following this step:

Divide by 32 on both sides.

x < 9.375

We can't buy 9.375 sweatshirts though, and we can't add more decimals or it will go over 300, so you round down to 9.

Dominique can buy 9 sweatshirts without going over $300!

6 0

4 years ago

Use the Distributive Property to simplify the expression.<br><br> 8(5g+5−2) =

slamgirl [31]

Step-by-step explanation:

8(5g+3)=0

40g+24=0

40g=0-24

40g=-24

divide both sides by 40

therefore, the answer is -0.6

8 0

3 years ago

Read 2 more answers