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3 years ago

What is 8 2/10 minus 4 1/3

Mathematics

2 answers:

Alik [6]3 years ago

6 0

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

58 /15

Decimal Form:

3.8 6

Mixed Number Form:

3 13 /15

Step-by-step explanation:

r-ruslan [8.4K]3 years ago

4 0

Rewriting our equation with parts separated
=8+21−4−13
=
8
+
2
1
−
4
−
1
3
Solving the whole number parts
8−4=4
8
−
4
=
4
Solving the fraction parts
21−13=?
2
1
−
1
3
=
?
Find the LCD of 2/1 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 3
63−13=53
6
3
−
1
3
=
5
3
Simplifying the fraction part, 5/3,
53=123
5
3
=
1
2
3
Combining the whole and fraction parts
4+1+23=523
The answer is 5 2/3

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1.) -2(6 - 2x) = 4(-3 + x) 2.) 5 - 1(2x + 3) = -2(4 + x)

Scrat [10]

Let's solve your equation step-by-step.

Question 1: −2(6−2x) =4(−3+x)

Step 1: Simplify both sides of the equation.

−2(6−2x) =4(−3+x)

(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)

−12+4x=−12+4x

4x−12=4x−12

Step 2: Subtract 4x from both sides.

4x−12−4x=4x−12−4x

−12=−12

Step 3: Add 12 to both sides.

−12+12=−12+12

0=0

Answer: All real numbers are solutions.

Question 2:

Let's solve your equation step-by-step.

5−1(2x+3) =−2(4+x)

Step 1: Simplify both sides of the equation.

5−1(2x+3) =−2(4+x)

5+(−1) (2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)

5+−2x+−3=−8+−2x

(−2x) +(5+−3) =−2x−8(Combine Like Terms)

−2x+2=−2x−8

Step 2: Add 2x to both sides.

−2x+2+2x=−2x−8+2x

2=−8

Step 3: Subtract 2 from both sides.

2−2=−8−2

0=−10

Answer: There are no solutions.

8 0

3 years ago

(-4, -2); y = - 2x + 4

padilas [110]

Answer:

y = -2x - 10

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

_____________________________

Given equation

y = -2x +4

comparing it with y = mx+ c

m = -2 , c = 4

_____________________________

when two lines are parallel, their slopes are equal.

Let the equation of new line in slope intercept form be y = mx + c

Thus slope of of new required line is -2

Thus m for new line is -2.

now, equation of required line : y = -2x+c

Given that this line passes through (-4, -2). This point shall should satisfy equation y = -2x+c.

Substituting the value of (-4, -2) we have

-2 = -2(-4)+c

=> -2 = 8 +c

=> -2 -8 = c

=> c = -10.

Thus , equation of required line is y = -2x - 10.

8 0

3 years ago

Use substitution to write an equivalent quadiatic equation ( 3x^2)^2+7(3x +2) -8=0

mezya [45]

Answer:

9x^4+21x+6=0

Step-by-step explanation:

( 3x^2)^2+7(3x +2) -8=0

((3^2)*(x^2)^2)+(7*3x)+(7*2)-8=0

9(x^4)+21x+14-8=0

9x^4+21x+6=0

7 0

3 years ago

Question 6 (1.25 points)

Lisa [10]

Answer:

Test statistic Z= 1.713

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

H₀: x⁻ = μ

Alternative Hypothesis : x⁻ ≠ μ

Step(ii):-

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }$

Z = 1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

4 0

3 years ago

P = 2L + 2W; for L NEED HELP PLEASE

Orlov [11]

L=(P-2W)/2 HOPE I HELPED YA :)

3 0

3 years ago