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Vladimir [108]
3 years ago
9

What is -7 2/3 + (-5 1/2) + 8 3/4

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0
Hey there :)

-7 \frac{2}{3} = - \frac{23}{3}
-5 \frac{1}{2} = -\frac{11}{2}
8 \frac{3}{4} = \frac{35}{4}

- \frac{23}{3} - \frac{11}{2} + \frac{35}{4}

We need to change all fractions to have a common denominator 

Lets see:
Multiples of 2: 2 , 4 , 6 , 8 , 10 , 12
Multiplies of 3: 3 , 6 , 9 , 12
Multiplies of 4: 4 , 8, 12

The common denominator is 12
2 x 6 = 12
3 x 4 = 12
4 x 3 = 12

= -\frac{23(4)}{3(4)} -  \frac{11(6)}{2(6)} +  \frac{35(3)}{4(3)}
= -  \frac{92}{12} -  \frac{66}{12} +  \frac{105}{12}

We need to add the numerators while keeping the same denominator
= - \frac{53}{12}
= -4 \frac{5}{12}

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10x + 9y=0<br> 8x + 18y=0
Luba_88 [7]

Answer:

x=0 y=0

Step-by-step explanation:

multiple the first equation by 2

after subtract equation 2 from 1

after getting x you substitute the value of x in any of the equation for your y

3 0
3 years ago
??????????????????FAST HELP PLZ
Irina18 [472]

Answer:

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

8 0
3 years ago
The function f(x)=501170(0.98)x gives the population of a Texas City x years after 1995. What was the population in 1995?
galina1969 [7]

Answer:

The population of a Texas City in 1,995 was 501,170\ people

Step-by-step explanation:

we have

f(x)=501,170(0.98^{x})

we know that

The population in 1,995 is for x=0

so

substitute the value of x=0 in the function f(x)

f(0)=501,170(0.98^{0})=501,170\ people

4 0
3 years ago
Need help simplifying this
diamong [38]

The simplified answer is \frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}.

<u>Step-by-step explanation:</u>

$\frac{3 y+2 x}{z+2 x}-\frac{2 y-3 x}{3 x+y}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}

To add or subtract denominators of the fraction must be same.

If it is not the same, we must take LCM of the denominators. and so we can add the fractions.

To make the denominator same multiply the 1st term (\frac{3x+y}{3x+y}) and 2nd term by (\frac{z+2x}{z+2x})

= \frac{(3 y+2 x)(3 x+y)}{(z+2 x)(3 x+y)}-\frac{(2 y-3 x)(z+2 x)}{(3 x+y)(z+2 x)}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}

LCM of the denominators is 6x²+ 3xz + 2xy +yz.

Multiply the factors in the numerator.

= \frac{\left(6 x^{2}+3 y^{2}+11 x y\right)}{(z+2 x)(3 x+y)}-\frac{\left(2 y z+4 x y-3 x z-6 x^{2}\right)}{(3 x+y)(z+2 x)}-\frac{2 z y+6 x z}{6 x^{2}+3 x z+2 x y+y z}

Now, the denominators are same, you can subtract it.

= \frac{\left(6 x^{2}+6 x^{2}+11 x y-4 x y-2 y z-2 y z+3 x z-6 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}

= \frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}

Thus the simplified solution is  \frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}

4 0
3 years ago
Jake’s skateboard cost 95 dollars, plus an additional 25% fee for a custom paint design, trucks and wheels. What is the total co
Vadim26 [7]

Answer: F the answer

Jake’s skateboard cost 95 dollars, plus an additional 25% fee for a custom paint design, trucks and wheels. What is the total cost for Jake’s new skateboard?

Call 404-898-748

7 0
2 years ago
Read 2 more answers
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