Evaluate the expression the quantity 3 plus 5, multiplied by, the quantity h minus k, divided by 4, when h = 4 and k = 12. A –16 B 8 C 20 D 29

Answers

Answer 1

Answer:

A is the correct option.

Step-by-step explanation:

We need to evaluate the expression 3 plus 5, multiplied by, the quantity h minus k, divided by 4, when h = 4 and k = 12. It can be written as :

[tex](3+5)\times \dfrac{h-k}{4}[/tex]

Put h = 4 and k = 12 in above expression.

So,

[tex](3+5)\times \dfrac{h-k}{4}=(3+5)\times \dfrac{4-12}{4}\\\\=8\times \dfrac{-8}{4}\\\\=2\times -8\\\\=-16[/tex]

After solving we get that the value of the given expression is -16.


Related Questions

2 (x − 3) = 5x − 3 (x + 2)

Answers

Answer:

0=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x−3)=5x−3(x+2)

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

2x+−6=5x+−3x+−6

2x−6=(5x+−3x)+(−6)(Combine Like Terms)

2x−6=2x+−6

2x−6=2x−6

Step 2: Subtract 2x from both sides.

2x−6−2x=2x−6−2x

−6=−6

Step 3: Add 6 to both sides.

−6+6=−6+6

0=0

Answer:

Not Possiable

Step-by-step explanation:

Step 1:

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

Step 2:

2x - 6 = 5x - 3x + 6

Step 3:

2x = 2x

Answer:

2x cannot equal 2x

Not Possiable

Hope This Helps :)

i need seven please help

Answers

Answer:

3n + 6

Step-by-step explanation:

7.

three times a number: 3n

six more than three times a number: 3n + 6

what is 1xy+3x-(23y+3)

Answers

Answer:

[tex]xy+3x-23y-3[/tex]

Step-by-step explanation:

[tex]1xy+3x-(23y+3)\\[/tex]

Multiply ; 1× x =x

[tex]=xy+3x-\left(23y+3\right)\\[/tex]

Use - to open the bracket

[tex]-\left(23y+3\right):\quad -23y-3\\\\=xy+3x-23y-3[/tex]

lX – 12.2l= 0.3 gives the minimum and maximum acceptable lengths of the wires in centimeters. What is the minimum acceptable length of a wire?​

Answers

Answer:  11.9 cm

Work Shown:

|x-12.2| = 0.3

x-12.2 = -0.3 or x-12.2 = 0.3

x = -0.3+12.2 or x = 0.3+12.2

x = 11.9 or x = 12.5

The min length is 11.9 cm and the max length is 12.5 cm

Subtracting 12.2 from either x value leads to a positive difference of 0.3 which is the margin of error.

what quadrant would (0,4) be in

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is

36(thirty six)

The mean of four numbers is 70. When a fifth number is included, the mean of the five numbers is 80. What is the fifth number?

Answers

Answer: 120

=============================================

Explanation:

S = sum of the first four values

S/4 = 70 since we divide the sum by 4 to get the mean of the first four values

S = 280 is the result after multiplying both sides by 4

Let x be the fifth unknown value. Adding it onto S leads to S+x = 280+x. This represents the sum of all five values.

Dividing that sum 280+x over 5 leads to the new mean 80, which leads to...

----------

(280+x)/5 = 80

280+x = 5*80

x+280 = 400

x = 400-280

x = 120

The fifth number is 120

The fifth number is 120

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the four numbers be = a , b , c , d

Let the fifth number be = e

Now , the mean of 4 numbers is m = 70

So , the equation will be

( a + b + c + d ) / 4 = 70

Multiply by 4 on both sides , we get

a + b + c + d = 280   be equation (1)

Now , the mean of 5 numbers is m = 80

So , the equation will be

( a + b + c + d + e ) / 5 = 80

Multiply by 5 , we get

a + b + c + d + e = 400   be equation (2)

Substitute the value of equation (1) in equation (2) , we get

a + b + c + d + e = 400

280 + e = 400

Subtracting 280 on both sides , we get

e = 400 - 280

e = 120

Therefore , the value of e is 120

Hence , The fifth number is 120

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ5

Simplify this equation 2x³y³/4y²

Answers

x3y/2.


Is the correct answer

8 times a number plus 3 times the number is the same as 9 more than 12 times the number. find the number

Answers

Answer:

-9

Step-by-step explanation:

let 'x' be the unknown number

lets change the statment to an equation

8x + 3x = 12x + 9

11x = 12x + 9

11x-12x = 9

-x = 9

x = -9

hope it helps ❤❤❤

For any question comment me

passes through (-4, 11) and (2,8)

Answers

Are you looking for slope?

if u r the slope is -6/3

A slope of line will be "[tex]-\frac{1}{2}[/tex]".

Slope of line:

According to the question,

(-4, 11) = (X1, Y1)(2,8) = (X2, Y2)

We know,

Slope of line:

= [tex]\frac{Y2-Y1}{X2-X1}[/tex]

By substituting the values, we get

= [tex]\frac{8-11}{2-(-4)}[/tex]

= [tex]\frac{-3}{6}[/tex]

= [tex]-\frac{1}{2}[/tex]

Thus the answer above is correct.

Find out more information about slope here:

https://brainly.com/question/3493733

Is 253/10 a rational or irrational

Answers

Answer:

irrational

Step-by-step explanation:

The surface area of the side of a right cylinder can be found by multiplying twice the number π by the radius times the height. If a circular cylinder has radius r and height h, write an expression that represents the surface area of its side.

Answers

Answer:

2[tex]\pi[/tex]rh

Step-by-step explanation:

A little easier way to see:

2 * [tex]\pi[/tex] * r * h

Solve this system of equations and enter an ordered pair (x,y). y = x + 3 y = -x - 5

Answers

Answer:

(x,y). y = x + 3 y = -x - 5

Step-by-step explanation:

add it up cowgirl howdey with PHOTOT MATHS

Answer:

(-4,-1)

Step-by-step explanation:

I graphed the two lines using a graphing tool. When graphed, the lines intercept at (-4,-1). Therefore, (-4, -1) is the solution.

Please see the graph attached.  

Hope this helps.

I need help on this giving brainlist ASAP

Answers

Answer:

no solution

Step-by-step explanation:

|x| = -10

Absolute value means that it is positive or 0

It cannot be negative

There is no solution

Step-by-step explanation:

There is no solution

|A|

can be only 0 or positive number

can't be -

from the rule of Mathematics

After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease in the volume of the tumor

Answers

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume ([tex]V[/tex]) is calculated by:

[tex]V = \frac{4\pi}{3}\cdot R^{3}[/tex]

Where [tex]R[/tex] is the radius of the tumor.

The percentage decrease in the volume of the tumor ([tex]\%V[/tex]) is expressed by:

[tex]\%V = \frac{\Delta V}{V_{o}} \times 100\,\%[/tex]

Where:

[tex]\Delta V[/tex] - Absolute decrease in the volume of the tumor.

[tex]V_{o}[/tex] - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

[tex]\Delta V = V_{o}-V_{f}[/tex]

[tex]\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})[/tex]

The percentage decrease is finally simplified:

[tex]\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%[/tex]

Given that [tex]R_{o} = R[/tex] and [tex]R_{f} = 0.77\cdot R[/tex], the percentage decrease in the volume of tumor is:

[tex]\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%[/tex]

[tex]\%V = 54.34\,\%[/tex]

The volume of the tumor experimented a decrease of 54.34 percent.

In Triangle ABC, the length of Segment AB is equal to the length of segment AC. The length of segment BC is 4 less than twice the length of segment AB. If the perimeter of Triangle ABC is 52, find the length of segment AB.

Answers

Step-by-step explanation:

Let x be the length of segment AB.

Then the length of segment BC is (2x - 4).

The length of segment AC is x.

We know that x + (2x - 4) + x = 52.

Therefore 4x - 4 = 52, 4x = 56, x = 14.

Hence the length of segment AB is 14.

Answer:

14

Step-by-step explanation:

0.15(y-0.2)=2-0.5(1-y)

The answer is -153/35 I just need to know how to get that

Answers

Answer:

[tex]y=-\dfrac{153}{35}[/tex].

Step-by-step explanation:

The given equation is

[tex]0.15(y-0.2)=2-0.5(1-y)[/tex]

Using distributive property, we get

[tex]0.15(y)+0.15(-0.2)=2-0.5(1)-0.5(-y)[/tex]

[tex]0.15y-0.03=2-0.5+0.5y[/tex]

[tex]0.15y-0.03=1.5+0.5y[/tex]

Isolate variable terms.

[tex]0.15y-0.5y=1.5+0.03[/tex]

[tex]-0.35y=1.53[/tex]

Divide both sides by -0.35.

[tex]y=\dfrac{1.53}{-0.35}[/tex]

[tex]y=-\dfrac{1.53}{0.35}\times \dfrac{100}{100}[/tex]

[tex]y=-\dfrac{153}{35}[/tex]

Therefore, [tex]y=-\dfrac{153}{35}[/tex].

Can you pls help me solve this?​

Answers

Answer:

x=−9

Step-by-step explanation:

i hope this helps you

Answer:

x=-9

Step-by-step explanation:

Subtracting 53 from both sides, you get -2/3x=6.

-9*2/3x=6

x=-9

0.3(10-5x)=31.5(8x+9)

Answers

Answer:

x = - 1.106

Step-by-step explanation:

0.3(10-5x)=31.5(8x+9)

Expand the terms in the bracket

That's

3 - 1.5x = 252x + 283.5

Subtract 3 from both sides

3-3 - 1.5x = 252x + 283.5 - 3

-1.5x = 252x + 280.5

Subtract 252x from both sides

That's

- 1.5x - 252x = 252x - 252x + 280.5

- 253.5x = 280.5

Divide both sides by -253.5

We have the final answer as

x = - 1.106

Hope this helps you

If 8b-9=b then 7b=?
Please answer if you can!
Also it’s NOT 1.5

Answers

Answer:

9 is your answer.

Step-by-step explanation:

Solve for b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 9 to both sides:

8b - 9 (+9) = b (+9)

8b = b + 9

Next, subtract b from both sides:

8b (-b) = b (-b) + 9

8b - b = 9

7b = 9

Divide 7 from both sides:

(7b)/7 = (9)/7

b = 9/7

Plug in 9/7  for b in the equation given:

7(b) = 7(9/7) = 9

9 is your answer.

~

Jack's bank statement shows an account balance of $25 50 Which descubes the magnitude or size of the debt in dollars? $50 50 $25 50 SO 0-$25 50​

Answers

Answer:

it’s B. $25.50

what is the standerd form of number shown in this calculater display. 1.46e-6

Answers

Answer:

scientific notation

Step-by-step explanation:

This number is shown in scientific notation.

Answer:

0.00000146

Step-by-step explanation:

I took the test

Solve for x: −4x − 4 = −4(x + 2)

Answers

Answer:

Step-by-step explanation:

-4x - 4 = -4x - 8

=4 ≠ -8

no solution

undefined

Answer:

no solution

Step-by-step explanation:

-4x - 4 = -4(x + 2)

Distribute

-4x -4 = -4x -8

Add 4x to each side

-4x+4x - 4 = -4x+4x -8

-4 = -8

This is never true so there is no solution

If HJ = 7x27 find the value of x. 3x-5. x-1
•———————-•——•
H. I. J

Answers

Answer:8.6

Step-by-step explanation:

Solve for x.
y= 2x
y=20
Simplify your answer as much as possible.

Answers

Answer:

20=2x

20/2=x

X=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

20 divided by 2 equals 10.

Find the perimeter of each polygon created by the coordinates.
A(-2, 3), B(3, 1), C(-2, -1), D(-3, 1)

a) 16.7

b) 14

c) 15.2

Answers

i believe the answer is c

Solve the equation for W

Answers

Answer:

fourth option

Step-by-step explanation:

Given

[tex]\frac{2x-1}{y}[/tex] = [tex]\frac{w+2}{2z}[/tex] ( cross- multiply )

y(w + 2) = 2z(2x - 1) = 4xz - 2z ( divide both sides by y )

w + 2 = [tex]\frac{4xz-2z}{y}[/tex] ( subtract 2 from both sides )

w = [tex]\frac{4xz-2z}{y}[/tex] - 2

The scale of a map is 1cm : 70km. What is the actual distance between two towns that are 3cm apart on the map

Answers

Answer:

210 km

Step-by-step explanation:

1cm : 70km

3 x 70 = 210

3cm : 210km

Hopefully this helps you :)

pls mark brainlest ;)

did I do this right also how should I finish it?

Answers

it depends on what your supposed to do i would finish it myself

Help meeeee !!!!!!!!!

Answers

Answer:

3n²+3n-60

Step-by-step explanation:

Area of rectangle= L*W

A=3(n-1)(n+2)

A=3(n²+n-2)

A=3n²+3n-6

54=3n²+3n-6

3n²+3n-6-54=0

3n²+3n-60=0

Answer:

3, 3, - 60

Step-by-step explanation:

Area = lw

Therefore 54=(3n-3)(n+2)

Expand and we get:

3n^2+6n-3n - 6=54

Combine terms and move 54 to left side:

3n^2+3n-60

Hope this helped!

HELP PLZ!!! A, B, C,or D.

Answers

Answer:

D

Step-by-step explanation:

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