What is the value of the numerical expression below? -\frac{2}{5}\ \div\left(\frac{8}{7}\times\frac{-7}{8}\right)\ \div-1− 5 2 ​ ÷( 7 8 ​ × 8 −7 ​ ) ÷−1 Show your work. A. -1 B. -\frac{2}{5}− 5 2 ​ C. \frac{2}{5} 5 2 ​ D. 1

Answers

Answer 1

Given:

The expression is

[tex]-\dfrac{2}{5}\ \div\left(\dfrac{8}{7}\times\dfrac{-7}{8}\right)\ \div-1[/tex]

To find:

The numerical value of the given expression.

Solution:

We have,

[tex]-\dfrac{2}{5}\div\left(\dfrac{8}{7}\times\dfrac{-7}{8}\right)\ \div-1[/tex]

On simplification, we get

[tex]=-\dfrac{2}{5}\div\left(-1\right)\ \div-1[/tex]

[tex]=-\dfrac{2}{5}\div \dfrac{-1}{-1}[/tex]

[tex]=-\dfrac{2}{5}\div 1[/tex]

[tex]=-\dfrac{2}{5}[/tex]             [tex][\because a\div 1=a][/tex]

Therefore, the numerical value of the given expression is [tex]-\dfrac{2}{5}[/tex] and the correct option is B.


Related Questions

Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y = 5x + 3 C y = −5x D y = − 1 5 x

Answers

Answer:

y = 5x + 3 is a nonproportional relationship.

Step-by-step explanation:

We need to find the equation that represents a nonproportional relationship.

If y is directly proportional to x, it would mean that,

y ∝ x

y = kx

Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.

Hence, we can say that option (b) represents a nonproportional relationship.

Find the equation of a line that passes through (2,-3), and that is parallel to 5x + y = -2.
O y=-5x + 7
O y = 5x - 13
O y = 5x - 3
O y = -5x - 3​

Answers

Answer:

O y = -5x + 7

Step-by-step explanation:

[tex]5x + y = -2 \\y = -5x - 2[/tex]

the slope of this line is -5 so the slope of a parallel line will also have to be -5

put it in point slope form:

y - - 3 = -5(x - 2)

y + 3 = -5x + 10

y = -5x + 7

Jo is playing a game in which he must roll a die and toss a coin. What is the probability that Jo will roll a 6 and toss a heads? Make a list to support your answer.

Answers

Answer:

1/ 12

Step-by-step explanation:

Sample space :

(H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)

Probability = required outcome / Total possible outcomes

Required outcome = roll a 6 and toss a heads = 1

Total possible outcomes = sample space = 12

= 1/12

Solve for x to the nearest tenth.

Answers

x=11.18 is your answer look it once

7y - 2 3/4 = 1/2 solve these equation

Answers

Answer:

y = [tex]\frac{13}{28}[/tex]

Step-by-step explanation:

Given

7y - 2 [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( change the mixed number to an improper fraction )

7y - [tex]\frac{11}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 4 to clear the fractions )

28y - 11 = 2 ( add 11 to both sides )

28y = 13 ( divide both sides by 28 )

y = [tex]\frac{13}{28}[/tex]

Hopes this helps:

Answer: y= 13/28

1. Convert 2 3/4 to improper fraction. Use this rule: a b/c = ac+b/c.
7y - 2 • 4 + 3 / 4 = 1/2

2. Simplify 2 • 4 to 8.
7y - 8 + 3 / 4 = 1/2

3. Simplify 8 + 3 to 11.
7y - 11/4 = 1/2

4. Add 11/4 to both sides.
7y = 1/2 + 11/4

5. Simplify 1/2 + 11/4 to 13/4.
7y = 13/4

6. Divided both sides by 7.
Y= 13/4 / 7

7. Simplify 13/4 / 7 to 13 / 4 • 7.
Y = 13 / 4 • 7

8. Simplify 4 • 7 to 28.
Y= 13/28

Two straight lines are shown.

Answers

Answer:

(3,20)

Step-by-step explanation:

so O must be 0,0 and A is a midpoint of OB

This means B must be (14,12)

B is the midpoint of TS.

This means that the distance of SB is equal to the distance of BT.

This must mean that the coordinate of T must be (3,20)

O: (0,0)    x coordinate increases by 7. y coordinate increases by 6.

A: (7,6)

B: (14,12)

S: (25,4)    x coordinate decrease by 11. y coordinate increases by 8.

B: (14,12)

T: (3,20)

The coordinates of T are (3, 20).

What is Straight Line?

A straight line is an endless one-dimensional figure that has no width.

From the figure, A is the midpoint of OB and B is the midpoint of TS

The coordinates of O are (0, 0) and Coordinates of A are (7,6)

We can find coordinate of B.

(7, 6)=(0+x/2, 0+y/2)

(7,6)=(x/2, y/2)

x/2=7   and    y/2=6

x=14               y=12

So the coordinates of B are (14, 12)

Now we can find the coordinates of T.

(14, 12)=(X+25/2, Y+4/2)

X+25=28

x=3

Y+4=24

Y=20

So the coordinates of T are (3, 20)

Hence, the coordinates of T are (3, 20).

To learn more on Straight lines click:

https://brainly.in/question/5952912

#SPJ2

Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?

Answers

Answer:

          At (5, -4)

Step-by-step explanation:

The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line that passes through given point with a slope of m:  

y - y₁ = m(x - x₁)

Line A:

 [tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]

[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]

Line B:

 [tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]

[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]

Point of intersect means the same coordinates x and y.

So:

       [tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]

Which would be the most appropriate way to estimate -6.1(0.22)

Answers

Answer: Answer is 1

Step-by-step explanation:

The state decided that the angle a wheelchair ramp
makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round
to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height =
ft.
Distance along the ground =
ft.

Answers

If I’m correct I believe the answer is gonna be B

If x > g and g = 8, which set of numbers could represent x? Remember the whole set of numbers, must make this inequality true.

Answers

Answer: all numbers 9 and up.

. Mr. Jenkins deposited $1,250 into an account. He made no additional
deposits or withdrawals. Mr. Jenkins earned 4.25% annual simple interest
on the money in the account.
What was the balance in dollars and cents in Mr. Jenkins account at the
end of 4 years?
Record your answer on the grid.
Be sure to use the correct place value.

Answers

Answer:

$1,462.50

Step-by-step explanation:

To find the percentage, multiply 1,250 by 0.0425, giving us 53.125. Multiply this by the 4 years, giving us a total of 212.5. Add 212.5 and 1,250, leaving us with his total, $1,462.50

Hope this helps!

**due today, please help!!**

Factor, input the parentheses

6x+12



3x+3y



10+25x



81x+48



24x+16y+8



3+24x+6y



81x-36y-18



54x+12

Answers

Answer:

i got you!

Step-by-step explanation:

6(x + 2)

3(x + y)

5(2x + 5)

3(27x + 16)

8(3x +2y + 1)

3( 1 + 8x +2y)

9( 9x -4y- 2)

6 (9x +2 )

Answer:

6(x+2), 3(x+y), 5(2+5x), 3(27x+16), 8(3x+2y+1), 3(1+8x+2y), 9(9x−4y−2), 6(9x+2).

i need help and you don't have to show your work

Answers

Answer:

75

Step-by-step explanation:

Five times a number is 28 greater than the product of the number and -2. Find the number

Answers

Answer:

4

Step-by-step explanation:

Let the unknown number be x

Five times the number is expressed as 5x  

28 greater than the product of the number and -2 is expressed as;

28 + (-2x)

Equating both expressions

5x = 28 + (-2x)

5x = 28 - 2x

5x+2x = 28

7x = 28

x = 28/7

x = 4

Hence the number is 4

Evaluate:
f(x) = 3x – 4, when x=-2
O f(-2) = 2
O f(-2) = -10
O f(-2) = -2
o f(-2) = 1

Answers

Answer is f(-2) = -10

I need help!!!!!!!!!!!!!!!!

Answers

split the figure into 3
area of rectangle is length x width
3x6=18
5x3=15
3x6=18
add them together
18+18+15=51

Step-by-step explanation:

1.2(3cm)×2(6cm)

6cm × 12cm

=72cm²

2. 2(5cm)×2(3cm)

10cm×6cm

60cm²

3.2(6cm)×2(3cm)

12cm × 6cm

72cm²

72cm²+60cm²+72cm²

=204cm²

Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!

Answers

No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.

Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]

[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]

[tex]A = \frac{1}{2}\cdot 4[/tex]

[tex]A = 2[/tex] units^2

And since the two triangles are the same, the other triangle has the same area: 2 units^2

For the square we can use [tex]A = l\cdot w[/tex]  

[tex]A = 2 \cdot 2[/tex]

[tex]A = 4[/tex]

Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2

Answer:

8 units²

Step-by-step explanation:

In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2

In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.

Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:

2 + 2 + 2 = 6

Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:

([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,

(2 + 6) × 2/2

= 8 × 1

= 8 units²

A box contains ten cards labeled Q, R,S ,T ,U ,V ,W , X, Y, and Z . One card will be randomly chosen.
What is the probability of choosing a letter from Q toT ?
Write your answer as a fraction in simplest form.

Please help my day is going so bad ive litterally cried 5 times already and im so streesed with online school and having so much homework its just so difficult please help IM SO STRESSED :(

Answers

Answer:

10 cards. q to t is 4 of them- so 4 out of 10. 4/10. simplified 2/5

Volumen de un prisma de base cuadrangular de 36 centimetros de altura y 21 centimetros de arista de la base

Answers

Responder:

756 cm³

Explicación paso a paso:

Dar lo siguiente

Base del prisma = 21cm

Altura del prisma = 36 cm

Volumen del prisma = Área de la base * Altura

Volumen del prisma = 21 * 36

Volumen del prisma = 756cm³

De ahí el volumen del prisma = 756cm³

10. A bag contains black and white marbles. Overall, there are 36 marbles in the bag. If there are
14 more black marbles than white marbles, how many of each color are in the bag?
Equation #1
Equation #2
black marbles
white marbles

Answers

Answer:

25 black and 11 white

Step-by-step explanation:

lets say black marbles are x and white marbles are y

x+y=36

y+14=x

So: y+14+y=36

2y=22

y=11

Hence, x=25

Hope that helps!

2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j

Answers

I think it would be F

find the missing number that will make the statement true​

Answers

Jus swap the numbers, it’s 28

Are the figures congruent? Explain.

Answers

answer:

yes, because when you count the units you will see they are same

step-by-step explanation:

being congruent doesn't mean it is similar, however being similar does mean that they are congruentas you can see when you count the number of units, they are similartherefore, they are congruent

Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.

Use your graph to determine the point of intersection.

Answers

Answer:

Step-by-step explanation:

I can draw graphs on the application

eq1)  is a line through y = 5 with a negative slope of -1    y = -x + 5

eq2) is a vertical line at x = 1/2  NO y intercept or slope  

       -2x = -1 --->  x = -1/-2    =  1/2

They intersect at    

       y = -x + 5      and x = 1/2      Substitute x=1/2 into

       y = -1/2 + 5

       y = 4.5

intersect at  (1/2, 4.5)

       

I need help please help me!!!!

Answers

everything = 360 degrees
40+40+60+75+11x+13 = 360
11x+228 = 360
11x = 132
x = 132:11
x = 12

PLs help i really need it will give brainliest and thanks and 5 stars

Answers

Answer:

(5-2t)<-4

Step-by-step explanation:

The midnight temprature is 5 °C and the temprature is decreasing at the rate of 2°C per hour . If T is the hours past midnight then after t hours the temprature will be ( 5t-2t) . If the temprature is colder than -4°C right now , then your inequality can be written like 5t-2t<-4

2(x+3)=5x-6-3x true or false

Answers

Answer:

False

Step-by-step explanation:

LHS = 2x + 6

RHS = 2x - 6

LHS is not equal to RHS

False
Expand 2(x+3) = 2x +6
5x-3x-6=2x-6
2x+6 is not equal to 2x-6

What is the equation of a line with a slope of 2 and a y intercept of -5?

Answers

Answer:

y=2x-5

Step-by-step explanation:

The slope is how you move so you could also call it m

The y intercept is where you begin so you could call it b

So every time you need to find the equation or which one is like the slope just remember m=move b= begin

y=mx+b

Find the value of the expression:

A + B - 3

For a =10 and b = 7

Answers

Answer:

14

Step-by-step explanation:

10+7 = 17 - 3 = 14

what two number multiply to make -36 as well as add to make 16

Answers

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

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