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2 years ago

Solve the simultaneous equation: 6x+4y=34 3x-y=14

Mathematics

1 answer:

Fantom [35]2 years ago

6 0

Answer:

x=5, y=1. (5, 1).

Step-by-step explanation:

6x+4y=34

3x-y=14

---------------

y=3x-14

6x+4(3x-14)=34

6x+12x-56=34

18x=34+56

18x=90

x=90/18

x=5

3(5)-y=14

15-y=14

y=15-14

y=1

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Answer:

54 ft

Step-by-step explanation:

1/4=3 ft, if you convert the measurements to feet, it adds up to 54

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2 years ago

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(4) A spherical balloon is being inflated so that its diameter is increasing at a constant rate of 6 cm/min. How quickly is the

fredd [130]

In terms of its radius $r$ , the volume of the balloon is

$V(r)=\dfrac{4\pi}3r^3$

The diameter $d$ is twice the radius, so that in terms of its diameters, the balloon's volume is given by

$V(d)=\dfrac{4\pi}3\left(\dfrac d2\right)^3=\dfrac\pi6d^3$

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The diameter increases at a rate of $\frac{\mathrm dd}{\mathrm dt}=6\frac{\rm cm}{\rm min}$ . When the diameter is $d=50\,\mathrm{cm}$ , we have

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3 years ago

A mosquito accelerates at a rate of 0.4 m/s2 for an unknown amount of time. How long did the mosquito atcelerate if its velocity

cestrela7 [59]

Answer:

3.25 seconds.

Step-by-step explanation:

We can use the formula Final Velocity = Initial Velocity + Acceleration * Time to solve this problem.

First, we plug in the values we already know, and then we solve like normal:

1.5 = 0.2 + 0.4*t

1.3 = 0.4 * t

3.25 = t

Therefore, the mosquito accelerated for 3.25 seconds.

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2 years ago

Factor the expression. 5x + 15 The factored expression is

Tresset [83]

Find the Greatest Common Factor (GCF)

GCF = 5

Factor out the GCF (Write the GCF first, and then in parenthesis, divide each term by the GCF.)

5(5x/5 + 15/5)

Simplify each term in parenthesis

5(x + 3)

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3 years ago

Add the fractions and simplify 5 2/5 + 2 10/13=

HACTEHA [7]

Simple....

you have:

$5 \frac{2}{5} +2 \frac{10}{13}$

to convert them into improper fractions:

1.) Take whole number*denominator

(5*5=25)

2.) Take what you got...and add the numerator

(25+2=27)

3.) Use the original denominator

$\frac{27}{5}$

Do the same to the other one...

2*13=26

26+10=36

$\frac{36}{13}$

Now..add...

$\frac{27}{5} + \frac{36}{13}$

But..you need a common denominator!

$\frac{27}{5} * \frac{13}{13}= \frac{351}{65}$

$\frac{36}{13} * \frac{5}{5} = \frac{180}{65}$

Now you can add!

$\frac{351}{65} + \frac{180}{65} = \frac{531}{65}$

When simplified....

$8 \frac{11}{65}$

Thus, your answer.

6 0

2 years ago