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3 years ago

How do I solve two-step equations ex. 3g+5=17

2 answers:

8 0

Easy ! you first subtract the 5 to itself and to the 17, so 5 - 5 and 17 - 5. your equation should look like 3g = 12. since we need to isolate the variable (g) we need to divide 3 by itself and 12 by 3, so 3 ÷ 3 and 12 ÷ 3. now you have g = 4!

andreyandreev [35.5K]3 years ago

6 0

3g+5=17
-5 -5 your subtracting the number
3g = 12
12 divided by 3 = 4

You might be interested in

An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y

Kay [80]

Answer:

$t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{60}$

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

$\bar X_{1}=14$ represent the mean for sample 1 (younger)

$\bar X_{2}=20$ represent the mean for sample 2 (older)

$s_{1}=5$ represent the sample standard deviation for 1

$s_{f}=6$ represent the sample standard deviation for 2

$n_{1}=31$ sample size for the group 2

$n_{2}=31$ sample size for the group 2

t would represent the statistic

System of hypothesis

We want to test if that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

The statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=31+31-2=60$

Replacing the info given we got:

$t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{60}$

6 0

3 years ago

Find the volume of the composite solid. Round your answer to the nearest tenth.

amm1812

Answer:

Volume of the Figure $=825.38m^3$

Step-by-step explanation:

Volume of the figure = Volume of the Upper cone+Volume of the lower cone

Volume of a cone = $\pi *r^2*\frac{h}{3}$

Volume of the Upper Cone with

$height=12m$

$radius=6m$

$3.14*6*6*\frac{12}{3}$

$=3.14*6*6*4\\\\=3.14*36*4\\\\=3.14*144\\\\=147.14m^3$

Volume of the Lower cone with $radius=6m$ and $height=18m$

$=3.14*6*6*\frac{18}{3} \\\\=3.14*6*6*6\\\\=3.14*36*6\\\\=3.14*216\\\\=678.24m^3$

Volume of the Whole Figure = $147.14+678.24$

Volume of the Figure $=825.38m^3$

4 0

3 years ago

Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning. Step 1: (6.2 − 1.6

Black_prince [1.1K]

Answer:

The correct option is (d)-He wrote commutative instead of associative in Step 2.

Step-by-step explanation:

Commutative property: $a+b=b+a$

Associative property: $(a+b)+c=a+(b+c)$

Now consider the provided expression.

(6.2 − 1.6) − 4.4 + 7.8

Step 1

(6.2 − 1.6) − 4.4 + 7.8

Step 2 Use Associative property

6.2 + (−1.6 − 4.4) + 7.8

Step 3: Simplify

6.2 − 6 + 7.8

Step 4: Use commutative property

14 − 6

Step 5: Simplify

14 − 6 = 8

Hence, the wrong step is step 2. He wrote commutative instead of associative in Step 2.

Therefore, the correct option is (d)-He wrote commutative instead of associative in Step 2.

8 0

4 years ago

A number is first increased by 20 and then doubled. The result is 2 less than 5 times

Iteru [2.4K]

i think maybe ? x+20*2=5-2*x

8 0

3 years ago

Y = –2x + 30<br> y = 4x<br> Plz help

kati45 [8]

Answer: $x=5$

Step-by-step explanation:

Step 1:-

Given equations are y=-2 x+30........(1)

another equation is y=4 x ..........(2)

Step 2:-

solving these two equations (1) and (2)

Equating both equations are $4 x = -2 x+30$

$4 x+2 x =30$

$6 x =30$

Step 3:-

The final answer is $x=5$

5 0

3 years ago