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Scorpion4ik [409]
2 years ago
9

2x + 4 / 3 = -8 please help

Mathematics
2 answers:
arsen [322]2 years ago
4 0
X= -14/3 !


hope this helps
Lelechka [254]2 years ago
4 0

Answer:

X= -14/3

Step-by-step explanation:

Subtract \frac{4}{3}  

3

4

​  

 from both sides.

2x=-8-\frac{4}{3}

2x=−8−  

3

4

​  

 

2 Simplify  -8-\frac{4}{3}−8−  

3

4

​  

  to  -\frac{28}{3}−  

3

28

​  

.

2x=-\frac{28}{3}

2x=−  

3

28

​  

 

3 Divide both sides by 22.

x=-\frac{\frac{28}{3}}{2}

x=−  

2

3

28

​  

 

​  

 

4 Simplify  \frac{\frac{28}{3}}{2}  

2

3

28

​  

 

​  

  to  \frac{28}{3\times 2}  

3×2

28

​  

.

x=-\frac{28}{3\times 2}

x=−  

3×2

28

​  

 

5 Simplify  3\times 23×2  to  66.

x=-\frac{28}{6}

x=−  

6

28

​  

 

6 Simplify  \frac{28}{6}  

6

28

​  

  to  \frac{14}{3}  

3

14

​  

.

x=-\frac{14}{3}

x=−  

3

14

​  

 

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A retired woman has $280,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and an
ASHA 777 [7]

Answer:

9% fund: $ 210,000

13% fund: $70,000

Step-by-step explanation:

As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:

r=\dfrac{R}{C}=\dfrac{28,000}{280,000}=0.10

If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:

0.09x+0.13(1-x)=0.10\\\\0.09x+0.13-0.13x=0.10\\\\-0.04x=0.10-0.13=-0.03\\\\x=\dfrac{0.03}{0.04}=0.75

Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.

This correspond to a capital of:

9% fund: 0.75*$280,000 = $ 210,000

13% fund: 0.25*$280,000 = $70,000

6 0
3 years ago
Answer as soon as possible, please and thank you. All help is truly appreciated because we are one step closer to the answer. Be
SpyIntel [72]

Answer: 100

Step-by-step explanation:

4b squared where b= 5

Slot in 5 for b; 5 squared = 5x5= 25

4 (25)

=100

7 0
2 years ago
Read 2 more answers
A hot air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously m
san4es73 [151]

Answer:

h=1.99 miles

Step-by-step explanation:

Let's call h the balloon's height above the ground and b the horizontal distance between the balloon and the first milepost.

If the angle of the depression of this milepost is 24 degrees, we can say the following:

tan(24)=\frac{h}{b}

<em>b=\frac{h}{tan(24)}(equation 1)</em>

For the next milepost, the horizontal distance between the balloon and tihs milepost will be (b+1)miles and the angle of depression will be 20 degrees, so we can say the following

tan(20)=\frac{h}{b+1}

b+1=\frac{h}{tan(20)}

b=\frac{h}{tan20}-1

then, replacing from <em>equation 1</em>

\frac{h}{tan(24)} =\frac{h}{tan(20)}-1

1 =\frac{h}{tan(20)}-\frac{h}{tan(24)}

1 =h*(\frac{1}{tan(20)}-\frac{1}{tan(24)})

h=\frac{1}{(\frac{1}{tan(20)}-\frac{1}{tan(24)})}

Resolving, we'll find the value of h

h=1.99 miles

So, the balloon's height above the ground is 1.99miles

4 0
3 years ago
If 175 =35" what's the total​
enot [183]

Answer:

Answer is 5

Step-by-step explanation:

Do 175 divided by 35 which is 5.

7 0
2 years ago
How many different strings of length 12 containing exactly five a's can be chosen over the following alphabets? (a) The alphabet
N76 [4]

Answer:

Part (A) The required ways are 792.

Part (B) The required ways are 101376.

Step-by-step explanation:

Consider the provided information.

Part (A) The alphabet {a, b}

The length of strings is 12 that containing exactly five a's.

The number of ways are: \frac{12!}{5!7!}

After filling "a" we have now 7 places.

For 7 places we have "a" and "b" alphabet but we already select a's so now the remaining place have to fill by "b" only.

Thus, the required ways are: \frac{12!}{5!7!}\times 1=792

Part (B) The alphabet {a, b, c}

We have selected five a's now we have now 7 places.

For 7 places we have "b" and "c".

Thus, there are 2 choices for each 7 place that is 2^7

Therefore the total number of ways are: 792\times 2^7=101376

Thus, the required ways are 101376.

7 0
3 years ago
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