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3 years ago

twice the sum of a number and 2 is equal to three times the difference of the number and 3. Find the number

Mathematics

1 answer:

Lana71 [14]3 years ago

3 0

2(x+2)=3(x-3)
2x+4=3x-9
2x=3x-13
-x=-13
x=13

The number is 13

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emmasim [6.3K]

Answer:

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3 0

3 years ago

A middle school has the fifth and sixth grades. There are 100 fifth-grade boys and 110 fifth-grade girls. There are 7 fewer sixt

Mama L [17]

The ratio of girls to boys in the middle school = 213 : 193

Number of fifth-grade boys = 100

Number of fifth grade girls = 110

There are 7 fewer sixth-grade boys than fifth-grade boys

Number of sixth-grade boys = 100 - 7

Number of sixth-grade boys = 93

There are 10 more sixth-grade girls than sixth-grade boys

Number of sixth-grade girls = 93 + 10

Number of sixth-grade girls = 103

Total number of girls = Number of sixth-grade girls + Number of fifth-grade girls

Total number of girls = `103 + 110

Total number of girls = 213

Total number of boys = Number of sixth-grade boys + Number of fifth-grade boys

Total number of boys = `93 + 100

Total number of boys = 193

The ratio of girls to boys in the middle school = 213 : 193

Learn more on ratio here: brainly.com/question/25927869

4 0

2 years ago

You bought 7 raffle tickets. A total of 1302 raffle tickets were sold. If every raffle ticket has an equal chance at winning, wh

gayaneshka [121]

Answer:

the probability of not winning is 0.9946

Step-by-step explanation:

The computation of the probability of not winning is shown below:

The Probability of winning is

= 7 ÷ 1302

So, the probability of not winning is

= 1 - 7 ÷ 1302

= (1302 - 7) ÷ 1302

= 1295 ÷ 1302

= 165 ÷ 186

= 0.9946

Hence, the probability of not winning is 0.9946

The same is considered

6 0

3 years ago

Find the global maximum and global minimum values (if they exist) of x 2 + y 2 in the region x + y = 1. If there is no global ma

Grace [21]

Given that $x+y=1$ , we have $y=1-x$ , so that

$f(x,y)=x^2+y^2\iff g(x)=x^2+(1-x)^2$

Take the derivative and find the critical points of $g$ :

$g'(x)=2x-2(1-x)=4x-2=0\implies x=\dfrac12$

Take the second derivative and evaluate it at the critical point:

$g''(x)=4>0$

Since $g''$ is positive for all $x$ , the critical point is a minimum.

At the critical point, we get the minimum value $g\left(\frac12\right)=f\left(\frac12,\frac12\right)=\frac12$ .

5 0

2 years ago

.98345 × 100 = ? A. 983.45 B. 9.8345 C. .0098345 D. 98.345

Alexxx [7]

When you multiply by 100, you move the decimal point two places to the left so 0.98345 becomes 98.345.

Option D)

3 0

3 years ago

Read 2 more answers