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3 years ago

HELPPPP If y=4, 3y+6=7(2y-3)

Mathematics

1 answer:

Step2247 [10]3 years ago

8 0

Answer:

i think your question is missing something??

Step-by-step explanation:

3(4) + 6 = 7 (2(4)-3)

12 + 6 = 7 (8-3)

18 = 7 (5)

18 = 35?

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How to solve a one variable equation

scZoUnD [109]

You would isolate the variable for ex

2x+3=9
2x=9-3
2x=6
x=3

5 0

3 years ago

It takes Chris 6.5 hours to drive 455 miles. If he travels at the same rate, how long will it take him to drive 2100 miles?

mart [117]

First let’s divided 455 by 6.5 to figure out how far he travels in 1 hour which is equal to 70, now let’s do 2100 divided by 70, it will take 30 hours for him to drive 2100 miles.

3 0

2 years ago

The number of 5-digit numbers that can be formed if the last digit is odd and no

Softa [21]

Answer:

13,440

Step-by-step explanation:

10 possible digits 0 - 9

5 possible numbers for position 5 (odd digits only)

8 possible numbers for position 1 (cannot be zero or the odd number selected for position 5)

8 possible numbers remain for position 2 (10 minus 2 already selected)

7 possible numbers remain for position 3 (10 minus 3 already selected)

6 possible numbers remain for position 4 (10 minus 4 already selected)

5•8•8•7•6 = 13,440

7 0

2 years ago

A ball is thrown off the roof of the school. Its path can be described by the equation: h(t) = -2t^2 + 8t + 10, where h is heigh

zimovet [89]

Answer:

10 meters

Step-by-step explanation:

The given function $h(t)=-2t^2+8t+10$ represents the height, $h$ , in meters, $t$ seconds after the ball is thrown.

Since the ball is thrown off the roof, then ball's height will be equal to the roof's height before being thrown (0 seconds). Therefore, substitute $t=0$ into the given function $h(t)=-2t^2+8t+10$ :

$h(0)=-2(0^2)+8(0)+10,\\h(0)=0+0+10,\\h(0)=\boxed{10\text{ meters}}$

Therefore, the building is 10 meters tall.

8 0

2 years ago

Jimmy invest $16,000 in an account that pays 7.03% compounded quarterly. How long (in years and months) will it take for his inv

Vladimir [108]

To solve this we are going to use the compound interest formula $A=P(1+ \frac{r}{n})^{nt}$
where:
$P$ is the investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years
$A$ is the amount after $t$ years

First, lets convert the interest rate to decimal dividing it by 100%:
$r= \frac{7.03}{100} =0.0703$
Next, lets find $n$ . Since we know that the interest is compounded every 4 months (quarterly), it will be compounded $\frac{12}{4} =3$ times in a year, so $n=4$ .
We also know that $A=23000$ and $P=16000$ , so lets replace all the quantities into our compound interest formula:
$25000=16000(1+ \frac{0.0703}{3})^{3t}$
$25000=16000(1.0234)^{3t}$

Notice that the the number of years $t$ is in the exponent, so we have to use logarithms to bring it down. But first lets divide both sides by 16000 to isolate the exponential expression:
$\frac{25000}{16000} =(1.0234)^{3t}$
$(1.0234)^{3t} = \frac{25}{16}$
$ln(1.0234)^{3t} =ln( \frac{25}{16} )$
$t= \frac{ln( \frac{25}{16}) }{3ln(1.0234)}$
$t=6.43$

Now that we know $t=6.43$ , the last thing to do is convert 0.43 years to months:
$(0.43 years)( \frac{12months}{1year} )=5.16months$

We can conclude that Jimmy's investment will take 6 years and 5 months to reach $25,000.

6 0

2 years ago