(3/5) + (-6/7)+(-2/5)+(3/14) find

Answers

Answer 1

Answer:

[tex] \frac{ - 31}{70} [/tex]

Step-by-step explanation:

[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]

[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]

[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]

[tex] = \frac{57 - 88}{70} [/tex]

[tex] = \frac{ - 31}{70} (ans)[/tex]


Related Questions

the fast train from london to coventry travels at an average speed of 83 km per hour . how long would it take to travel the distance of the distance of 166 km

Answers

2.

Simply do 166 divided by 83 and you'll have your answer

2 hours

1 hour = 83km travelled
1 x 2 = 2 83 x 2 = 166
2 hours = 166km travelled

factor of -2800 and -2

Answers

Answer:

isn't it just -2 it's the greatest common factor (GCF) of -2800 and -2

Step-by-step explanation:

find three consecutive even integers for which -4 times the sum of the first and third is 192

Answers

Answer:

-26-24-22

Step-by-step explanation:

Let x be the smallest number (first)

Let (x + 2) be the second number (second)

Let (x + 4) be the greatest number (third)

Set equation according to the given information

-4 [x + (x + 4)] = 192

Simplify parentheses

-4 [x + x + 4] = 192

-4 [2x + 4] = 192

Expand bracket and apply the distributive property

(-4) · 2x + (-4) · 4 = 192

-8x - 16 = 192

Add 16 on both sides

-8x - 16 + 16 = 192 + 16

-8x = 208

Divide -8 on both sides

-8x / -8 = 208 / (-8)

[tex]\boxed{x=-26}[/tex]

Find the value of the second term

x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]

Find the value of the third term

x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.​

Answers

Answer:

Step-by-step explanation:

Let the greater part = x

Smaller part = 105 - x

2*(greater part) = (3*smaller part) - 15

2*x = 3*(105 -x) - 15

Use distributive property

2x = 3*105 - 3*x - 15    

2x = 315 - 3x - 15

2x =  300 - 3x

Add 3x to both sides

2x +3x = 300

5x = 300

Divide both sides by 5

x = 300/5

x =60

Smaller part = 105 - 60  = 45

Greater part = Rs. 60

Smaller part = Rs. 45

Simplify 14^15/ 14^5
A 1^3
B 1^10
C 14^3
D 14^10

Answers

D is the correct answer
Hope this help

3.3(n-8)-n=1.2

Simplify! ::)

Answers

Answer:

n=12

Step-by-step explanation:

3.3(n-8)-n=1.2

Distribute

3.3n -26.4 -n = 1.2

Combine like terms

2.3n -26.4 = 1.2

Add 26.4 to each side

2.3n -26.4+26.4 = 1.2 +26.4

2.3n = 27.6

Divide each side by 2.3

2.3n/2.3 = 27.6/2.3

n=12

the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]

Step 1: Distribute the 3.3 to the terms inside the parentheses:

[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]

Step 2: Perform the multiplication:

[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]

Step 3: Combine like terms:

[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]

Step 4: Isolate n by dividing both sides by 2.3:

[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]

So, the solution to the equation is n = 12.

To know more about equation:

https://brainly.com/question/8651602

#SPJ3

Please help me out with part 3 i need this asap

Answers

Answer:

1) g(x) = 7

2) (-∞,∞)

3) 7

Step-by-step explanation:

I can’t understand the question

Divide by rationalizing the denominator.
3+5i/10+3i


A. 25+47i/109
B. 60-18i/109
C. 100-30i/109
D. 45+41i/109

Answers

Answer:

D

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate of the denominator.

Note that i² = - 1

The conjugate of 10 + 3i is 10 - 3i , then

[tex]\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}[/tex] ← Expand numerator/denominator using FOIL

= [tex]\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}[/tex] ← simplify

= [tex]\frac{30+41i+15}{100+9}[/tex]

= [tex]\frac{45+41i}{109}[/tex] → D

Simplify each expression

Answers

Answer:

[tex]3. \: \: ( \frac{7}{8} ) ^{2} = \frac{ {7}^{2} }{ {8}^{2} } = \frac{49}{64} = 0.765 [/tex]

[tex]5. \: \: 8 + 5(7) = 8 + 35 = 43[/tex]

I hope I helped you^_^

WEIGHTS AND MEASURES
One pint is about 5/9 liter. Write 5/9 liter as a decimal.

Answers

Answer:

.55555555 infinitely or .556

Step-by-step explanation:

5/9 liter is .555 as a decimal

please help with geometry

Answers

Step-by-step explanation:

a) gradient= y2-y1/x2-x1

gradient of AB:

gradient=-4-1/2-3

=-5/-1

=5

gradient of BC:

=-5+4/7-2

=-1/5

b) as the priduct of both gradient is -1 ,both lines are perpendicular.

c) as we have seen lines are perpendicular so it is a right angled triangle.

Tell the slope of a line that contains the points (5, − 3) and (7, 3).

Answers

Answer:

3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

     = ( 3 - -3)/( 7-5)

     = (3+3)/(7-5)

     = 6/2

      = 3

Answer:

[tex]m = 3[/tex]

Step-by-step explanation:

[tex]slope \: = m = \frac{y1 - y2}{x1 - x2} \\ = \frac{ - 3 - 3}{5 - 7} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]


Mary, Misa and Mandy have a combined height of 4.84 m. Mary is 9 cm/0.009m
shorter than Misa. Misa is 0.05 m taller than Mandy. How tall, in metres, is
Mandy?

Answers

Answer:

Mandy is 1.613 m tall

Step-by-step explanation:

Let us consider

Mary is A, Misa is B and Mandy is C

According to question,

A + B + C = 4.84 m...... (i)

From qsn

9 cm/0.009 m

= 9 cm/ 0.9 cm

= 10 cm

= 0.1 m

Then, A is 0.1 m shorter than B

i.e. A= B - 0.1 m

Also, B is 0.05 m taller than C

i.e B = C + 0.05m

We have to find height of C ( Mandy)

From eqn (i)

C = 4.84 - B - A

or, C = 4.84 - (C + 0.05) - ( B - 0.1)

or, C = 4.84 - C - 0.05 - B + 0.1

or, 2C = 4.89 - B

or, 2C = 4.89 - ( C + 0.05)

or, 2C = 4.89 - C - 0.05

or, 3C = 4.84

or, C = 4.84/3

or, C = 1.613 m

Hello!

Let’s start by assigning variables to each of the girls’ heights.

Mary=x

Misa=y

Mandy=z

Now, we know that Misa is 0.05 m taller than Mandy. Therefore we can say y (Misa’s height)= z (Mandy’s height) +0.05

Y=z+0.05


We also know that Mary is 0.009m shorter than Misa. Therefore, she must be 0.041 m taller than Mandy. We know this because Misa is 0.05 m taller than Mandy, and Mary is 0.009 meters shorter than Misa (0.05-0.009)= 0.041 Based on our determined variables, we can write this as:

X=z+0.041

OR REWRITTEN TO SOLVE FOR Z

Z=x-0.041

Finally, we know that the heights of all three girls are equal to 4.84 meters:

X+y+z=4.84


Let’s solve! Plug the second equation, solved for z, into the first equation.

Y= (x-0.041) +0.05

Now, let’s plug that in for “y” and the second equation in for “z” in the final equation:

X+ ((x-0.041) +0.05)+ (x-0.041)= 4.84

Solve for X:

1.624

Plug that number in for “X” in the second equation to get Mandy’s height (z)

Z=x-0.041

Z= 1.624-0.041


Mandy’s height is 1.583 m

I know this is a little confusing, but I hope this helped! If you have any questions, feel free to comment and I can help clarify!

How tall are redwood trees? ( statistical not statistical​

Answers

Answer:

It's a statistical question.

and there between 250-300 feet.

Uma indústria produz mensalmente x lotes de um produto. O valor mensal resultante da venda deste produto é V(x) = 3x² + 400x e o custo mensal da produção é dado por C(x) = 5x² − 100x − 540. Sabendo que o lucro é obtido pela diferença entre o valor resultante das vendas e o custo da produção, calcule:

A) O número de lotes de produtos para maximizar o lucro?

B) Qual o lucro Mensal a indústria pode alcançar?

Answers

Answer:

The answer would be A

Step-by-step explanation:

Someone plz help giving brainliest

Answers

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

6. Write an equation for the line that passes through (-4,4) and (8,8) in point-slope
form, slope-intercept form and standard form.
Point-Slope Form:
Slope-Intercept Form:
Standard Form:

Help!!

Answers

Answer:

Point-slope form:

[tex]y-4=\displaystyle\frac{1}{3}(x+4)[/tex]

[tex]y-8=m(x-8)[/tex]

Slope-intercept form:

[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]

Standard form:

[tex]-x+3y=16[/tex]

Step-by-step explanation:

Hi there!

1) Point-slope form

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex](x_1,y_1)[/tex] is a point on the line and m is the slope

First, determine the slope:

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (-4,4) and (8,8):

[tex]m=\displaystyle\frac{8-4}{8-(-4)}\\\\m=\displaystyle\frac{8-4}{8+4}\\\\m=\displaystyle\frac{4}{12}\\\\m=\displaystyle\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{1}{3}[/tex]. Plug this into  [tex]y-y_1=m(x-x_1)[/tex]:

[tex]y-y_1=\displaystyle\frac{1}{3}(x-x_1)[/tex]

Now, for [tex](x_1,y_1)[/tex], we can either plug in (-4,4) or (8,8):

[tex]y-4=\displaystyle\frac{1}{3}(x-(-4))\\\\y-4=\displaystyle\frac{1}{3}(x+4)[/tex]

or

[tex]y-8=m(x-8)[/tex]

2) Slope-intercept form

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

[tex]y=mx+b[/tex]

Plug in the slope

[tex]y=\displaystyle\frac{1}{3}x+b[/tex]

Now, to determine the y-intercept, plug in one of the points (-4,4) or (8,8) and solve for b:

[tex]8=\displaystyle\frac{1}{3}(8)+b\\\\8=\displaystyle\frac{8}{3}+b\\\\8-\displaystyle\frac{8}{3}=b\\\\b=\frac{16}{3}[/tex]

Therefore, the y-intercept is [tex]\displaystyle\frac{16}{3}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{3}x+b[/tex]:

[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]

3) Standard form

Standard form:

[tex]Ax+By=C[/tex] where A, B, and C are numbers which are typically integers

[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]

Organize this into standard form:

[tex]-\displaystyle\frac{1}{3}x+y=\displaystyle\frac{16}{3}[/tex]

Multiply both sides by 3 so A, B, and C are integers:

[tex]-x+3y=16[/tex]

I hope this helps!

Find the distance between each pair of points (-4,6) and (3,-7)

Answers

Answer:

Here is your answer . Hope this helps you.

Answer:

[tex]\boxed {\boxed {\sf \sqrt{218} \ or \ 14.76}}[/tex]

Step-by-step explanation:

The formula for calculating the distance between 2 points is:

[tex]d= \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. The 2 points we are given are (-4, 6) and (3, -7). If we match the value with the corresponding variable we see that:

x₁ = -4 y₁ = 6 x₂ = 3 y₂ = -7

Substitute the values into the formula.

[tex]d= \sqrt{(3 - -4)^2 + (-7-6)^2[/tex]

Solve inside the parentheses.

(3--4) = (3+4) = 7 (-7-6) = -13

[tex]d=\sqrt {(7)^2 + (-13)^2[/tex]

Solve the exponents.

(7)²= 7*7 = 49 (-13)² = -13 * -13 = 169

[tex]d= \sqrt{ (49)+(169)[/tex]

Add.

[tex]d= \sqrt{218}[/tex]

[tex]d=14.76482306[/tex]

If we round to the nearest hundredth place, the 4 in the thousandth place tells us to leave the 6.

[tex]d \approx 14.76[/tex]

The distance between the points (-4, 6) and (3, -7) is √218 or approximately 14.76.

Kathy has a total of 74 songs on cassettes and CDs in her music library. Each of her cassettes has 6 songs on it, and each
CD has 10 songs. If she has a total of 9 cassettes and CDs, how many of each does she have?

Answers

Answer:

4 cassettes and 5 CDs

Step-by-step explanation:

Create a system of equations

c is cassettes and d is CDs

6c+10d=74

c+d=9

I will use substitution

c=9-d

6(9-d)+10d=74

54-6d+10d=74

4d=20

d=5

Plug 5 back into the equation

c+5=9

c=4

please help me out thank you so much whoever does !!

Answers

Millimeters per minute, since snails are slow moving species.

24/4 ÷ 10
please answer quickly ​

Answers

Answer:

0.48

Step-by-step explanation:

25/4 ÷ 10=0.48

Brainiest plz and hope it helped

The lines shown below are perpendicular

Answers

Answer:

Step-by-step explanation:

y=(-1/3)x + 3

I was thrown into this without any help​

Answers

Answer: MKN and JKL

Collinear points are three or more points that lie on the same line.
The answer is MKN & JKL

help please asap its timed​

Answers

Answer:

In a representation of 100, the percent change is just a number change, meaning 65 - 52, or 13 is that change. This means that the percent change from 65 to 52 is 13%  

Step-by-step explanation:

What is 15 percent of 1135? Explain how you came up with your solution and the actions you took.

Answers

Answer:

170.25

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 15 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 15, so we can write it down as 100%=15.

4. We know, that x% equals 1135 of the output value, so we can write it down as x%=1135.

5. Now we have two simple equations:

1) 100%=15

2) x%=1135

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=15/1135

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1135 is what percent of 15

100%/x%=15/1135

(100/x)*x=(15/1135)*x       - we multiply both sides of the equation by x

100=0.013215859030837*x       - we divide both sides of the equation by (0.013215859030837) to get x

100/0.013215859030837=x

7566.6666666667=x

x=7566.6666666667

now we have:  170.25

We have to find,

→ 15% of 1135

The value of the percentage is,

→ 15 ÷ 100

→ 0.15

Let's find the solution,

→ 1135 × 0.15

→ 170.25

Hence, the answer is 170.25.

Serena worked these hours last week: Monday 8, Tuesday 8, Wednesday 10, Thursday 5, Friday 8. She is paid
$12 per hour
how many hours did serena work last week ?

Answers

39 hours which totals to 468 dollars

Determine the measure of the interior angle at vertex E.

Answers

Answer:

30

Step-by-step explanation:

5 sides Pentagon=540

3x+4x+4x+4x+3x=540

18x=540

x=540/18

x=30

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!!!!!

For the function h defined by h(x)=2x^2 − 2, find h(0).

Answers

Answer:

h(0) = - 2

Step-by-step explanation:

Substitute x = 0 into h(x) and evaluate , that is

h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2

Find the domain of f(x)= x^2+4

Answers

Answer:

(Negative Infinity to Positive Infinity)

Step-by-step explanation:

A domain is all x values that can go into a function. This is a quadratic. A quadratic can accept any real number so the domain is

[tex]all \: real \: numbers[/tex]

or

(Negative Infinity to Positive Infinity)

6. A cube has a volume of 5 feet?. What is the volume of the cube in in?

Answers

The answer is 60 inches.

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