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3 years ago

12

Gary played soccer for 1 hour and tennis for 2 hours. Tanya played tennis for 2 hours and soccer for 1 hour. Who played sports l

onger? Explain.

2 answers:

Alex777 [14]3 years ago

7 0

They play an equal amount of hours

gladu [14]3 years ago

5 0

They played it at an equal amount so there for the answer is a trick

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What is the value of sin(60°+0) - sin(60°+0)?

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Answer:

0

Step-by-step explanation:

Let us take sin(60 degree + theta) =x

Substituting x in equation

=> x-x

=> 0

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the 3rd one

Step-by-step explanation:

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Find the dimension of the cube volume = 64

olganol [36]

S
A
=
96
sq in.
Explanation:
V
=
s
3

64
=
s
3

find the cubic root of each side
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√
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=
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4
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s

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The surface area of a cube is

S
A
=
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A

where
S
A
is surface area,
n
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A
is the area of one face.
Te area of one face (
A
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s
2

so
A
=
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6
S
A
=
6
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16
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6 0

3 years ago

. An individual wishes to invest $5000 over the next year in two types of investment: Investment A yields 5%, and investment B y

tresset_1 [31]

Answer:

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

Step-by-step explanation:

Let

x -----> the amount invested at Investment A yields 5%

y -----> the amount invested at Investment B yields 8%

we know that

$x+y=5,000$

$x=5,000-y$ -----> equation A

$x \geq 0.25(5,000)$

$x \geq \$1,250$ -----> inequality B

$y \leq 0.50(5,000)$

$y \leq \$2,250$ -----> inequality C

$x \geq \frac{1}{2}y$ -----> inequality D

Substitute equation A in the inequality D and solve for y

$5,000-y \geq \frac{1}{2}y$

Multiply by 2 both sides

$10,000-2y \geq y$

Multiply by -1 both sides

$-10,000+2y \leq -y$

Adds y both sides

$-10,000+2y+y \leq 0$

$-10,000+3y \leq 0$

adds 10,000 both sides

$3y \leq 10,000$

Divide by 3 both sides

$y \leq \$3,333.33$ -----> inequality E

therefore

<em>Solve for y</em>

we have

$y \leq \$2,250$ -----> inequality C

$y \leq \$3,333.33$ -----> inequality E

The solution of inequality C and inequality E is

$y \leq \$2,250$

For y=2,250

x=5,000-y ----> x=5,000-2,250=2,750

so

$x \geq \$2,750$ -----> inequality F

<em>Solve for x</em>

we have

$x \geq \$1,250$ -----> inequality B

$x \geq \$2,750$ -----> inequality F

The solution of inequality B and inequality F is

$x \geq \$2,750$

therefore

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

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3 years ago

Is there proportional relationship between a measurement in miles from the same distance

balandron [24]

Yes there is mileage

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3 years ago