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3 years ago

Determine if -8T- 20 = 4(-2T -5) has one solution, infinitely many solutions, or no solution

Mathematics

2 answers:

AnnZ [28]3 years ago

8 0

Answer:

infinitely many solutions

Step-by-step explanation:

-8T- 20 = 4(-2T -5)

Distribute the 4

-8T- 20 = (-8T -20)

Add 8T to each side

-8T+8T- 20 = (-8T+8T -20)

-20 = -20

Since this is a true statement, there are infinitely many solutions

just olya [345]3 years ago

6 0

Answer:

Step-by-step explanation:

Note that -8T - 20 is 4 times -2T - 5, which comes out to -8T - 20.. Thus, the given equation simplifies to an identity (which is always a true statement). This equation is true for all T values, and thus has invinitely many solutions.

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Mrs porcelli’s classroom bulletin board is 2/1/4 feet long. Ms Smith’s bulletin board is 3 times as long Mrs porcelli’s.How long

yuradex [85]

Answer:

6.75 or 6 3/4

Step-by-step explanation:

First take the whole number and multiply that by 3.

2*3=6

Now, take the fraction and multiply that times 3.

1/4 as a decimal is 0.25. You can ignore the decimal point right now, but you have to remember it is there later.

So, whithout the decimal point, 25*3= 75.

Now, you add the decimal. The 75 is now 0.75, with the decimal.

Add the whole number and the decimal, and you have your answer!

6+0.75=6.75. As a fraction this is 6 3/4

6 0

3 years ago

Match the ones that are highlighted please:(

vivado [14]

The answers are 2. B, 3. D, 4. C, and 5. A.

Step-by-step explanation:

Step 1:

For question 2. $4+4n = -12.$

We subtract both sides by 4 to get

$4+4n-4 = -12-4, 4n = -16, n = -4$

For question 3. $4n=-12$ .

We divide the entire equation by 4 to get

$\frac{4n}{4} = \frac{-12}{4} , n = -3.$

Step 2:

For question 4. $\frac{n}{4} = -12.$

We multiply both sides by 4 to get

$\frac{n}{4} (4)= -12(4).$

$n = -48.$

For question 5. $\frac{n}{4} -4 = -12.$

We add 4 to both sides to get

$\frac{n}{4} -4 +4= -12+4, \frac{n}{4} = -8.$

$n = -32.$

So the answers are 2. B, 3. D, 4. C, and 5. A.

5 0

3 years ago

Solve equation 78 + 67 + 35

Nat2105 [25]

Answer:

180

Step-by-step explanation:

78+67+35 all added together make 180. Hope it helps!

7 0

3 years ago

Read 2 more answers

If f(2)=pi+7 then f^-1(pi+7)=?

stepladder [879]

Hello,

$f(2)=\pi + 7\\\\
2=f^{-1}\ o\ f(2)=f^{-1} (f(2))=f^{-1}( \pi + 7 })$

6 0

3 years ago

Read 2 more answers

A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the

SpyIntel [72]

Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± $t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }$

$t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093$

[15.3 ± 2.093 * $\frac{6.8}{\sqrt{20} }$ ]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!

8 0

3 years ago