Simplify the expression.

StartFraction negative 44.288 minus 31.6 over negative 3.1 (6 minus 1.2) EndFraction

Answer:

4x + 8 = 7.2 + 5x

1. 4x - 4x + 8 = 7.2 + 5x - 4x

2. 8 = 7.2 + x

3. 8 - 7.2 = 7.2 - 7.2 + x

4. 0.8 = x

Step-by-step explanation:

Final Answer: [tex]x = 0.8[/tex]

Steps/Reasons/Explanation:

Question: Equation with variables on both sides: decimals & fractions [tex]4x + 8 = 7.2 + 5x[/tex].

Step 1: Subtract [tex]4x[/tex] from both sides.

[tex]8 = 7.2 + 5x - 4x[/tex]

Step 2: Simplify [tex]7.2 + 5x - 4x[/tex] to [tex]7.2 + x[/tex].

[tex]8 = 7.2 + x[/tex]

Step 3: Subtract [tex]7.2[/tex] from both sides.

[tex]8 - 7.2 = x[/tex]

Step 4: Simplify [tex]8 - 7.2[/tex] to [tex]0.8[/tex].

[tex]0.8 = x[/tex]

Step 5: Switch sides.

[tex]x = 0.8[/tex]

~I hope I helped you :)~

the granola bar costs $1.50

the yogurt costs 50 cents = $0.50

Answer:

3150 inches is the volume

Step-by-step explanation:

i hoped this helped

First you write down the formula. How do you get 132.60 in the first place? I included a pic, please try to understand it. As it'd be v useful in daily life too.

Answer:

the answer is 2%

Step-by-step explanation:

I got 2.0 but you round it so it would be 2% the other girl worked it out just right

Answer:

The piecewise function is given as follows;

[tex]\begin{cases}C(n) = \$ 3.45 \times n & \text{ if } x< 4 \\ C(n) = \$ 3.00 \times n & \text{ if } x\geq 4 \end{cases}[/tex]

Step-by-step explanation:

The given parameters are;

The cost of each bag of snickers = $3.45

The cost of each bag of sneakers when buying 4 or more bags = $3.00

Let "n" be the number of bags of snickers and "C(n)" be the cost of all the snickers purchased

The piecewise function is C(n) = {($3.45 × n) for n < 3

{($3.00 × n) for n ≥ 4

Answer:

-6

Step-by-step explanation:

-4+8=4

4-10= -6

Answer:

yes

Step-by-step explanation:

9514 1404 393

Answer:

  (4, -6)

Step-by-step explanation:

The minimum is the vertex of the parabolic section in the 4th quadrant. The coordinates appear to be (4, -6).

Answer:

$475

Step-by-step explanation:

The percentage of discount of the item is 72 %

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 percentage of discount in the price be = A

The marked price of an item at the supermarket = $ 3.42

The original price of an item at the supermarket = $ 4.75

Now , the equation will be

The percentage decrease = ( marked price of an item at the supermarket / original price of an item at the supermarket ) x 100

Substituting the values in the equation , we get

The percentage decrease A = ( 3.42 / 4.75 ) x 100

The percentage decrease A = 0.72 x 100

The percentage decrease A = 72 %

Therefore , the value of A is 72 % and the percentage of discount is 72 %

Hence , The percentage of discount of the item is 72 %

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

325441

Step-by-step explanation:

6258*52 = 32416

325416 + 25 = 325441

Answer:

325441

Step-by-step explanation:

6258(52)=325416

325416+25=325441

Answer:

16.27

Step-by-step explanation:

if 1000m rep 1km

therefore :

58.6km/h in ms = 58.6km×1000/3600

=16.277 ms

Step-by-step explanation:

I don't know if it's correct

Answer:

$0.45a+$0.60p ≤$28

Step-by-step explanation:

Answer:

0.45a + 0.60p <= 28

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression ax+by = c, the y intercept of the line occurs at when x = 0

Substitute x = 0 into the expression and get the value of y

ax+by = c

a(0)+by = c

0+by = c

by = c

divide both sides by b

by/b = c/b

y = c/b

Hence the y intercept of the line occurs at y c/b

Answer:

1.) A

2.) D

Step-by-step explanation:

Answer:

1. 3/4

2.-3/2

Step-by-step explanation:

For the first problem, distribute the 2(6-2x) and 2(5+x) to simplify the equation.    This means, multiply what's inside the parentheses by 2. The simplified version of the equation is: 12-4x-2x=10+2x-4.

Once you have distributed, then combine like terms and solve for x.

You do the same thing for the second problem.

#12 is 17, #3 is 59, #8 is 28, #22 is 78, #32 is 90, #10 is 59, #21 is 26

Answer:

y=-1/2x+1

Step-by-step explanation:

Answer:

x=5.889

Step-by-step explanation:

2(9x6)=18x+2

108=18x+2

106=18x

x=106÷18

x=5.888888889

Step-by-step explanation:

f(x) = 9 - 2|x + 2|

When x = 7, f(-7) = 9 - 2|(-7) + 2|

= 9 - 2|(-5)|

= 9 - 2(5)

= 9 - 10

= -1.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

Put -7 where x is and do the arithmetic.

 f(-7) = 9 -2|-7+2|

  = 9 -2|-5| = 9 -2·5 = 9 -10

  f(-7) = -1

Answer: The price of desk is 15 and the price of the chairs 5

Step-by-step explanation:

Answer:

Becky is 5 1/4 ft tall

We can use the equation of tangent as a structure.

[tex]y - f(a) = f'(a)(x - a)[/tex]

Our f(a) is y-point and Our a is x-point..

Looking back at the equation, our f(a) would be 3 and a would be - 4

Therefore the answer is (-4,3)

Answer:

Just right the numbers they put

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = - x

a point (x, y ) → (- y, - x ) , thus

M(- 7, 1 ) → M'(- 1, 7 )

N(- 4, 1 ) → N'(- 1, 4 )

O(- 4, - 4 ) → O'(4, 4 )

P(- 7, - 4 ) → P'(4, 7 )

Answer:

the is a

Step-by-step explanation:

Answer:

a) [tex]\frac{dA}{dt} = 48 \pi\frac{in^{2}}{min}[/tex]

b) [tex] \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}[/tex]

c) [tex]\frac{dh}{dt} = - 2\frac{h}{r} \frac {dr}{dt}[/tex]

Step-by-step explanation:

In order to solve this problem, we must first picture a cylinder of height h and radius r (see attached picture).

a) So, in order to find the rate at which the area of the circular surface of the dough is increasing with respect to time, we need to start by using the are formula for a circle:

[tex]A=\pi r^{2}[/tex]

So, to find the rate of change of the area, we can now take the derivative of this formula with respect to the radius r:

[tex]dA = \pi(2) r dr[/tex]

and divide both sides into dt so we get:

[tex]\frac{dA}{dr} = 2\pi r \frac{dr}{dt}[/tex]

and now we can substitute:

[tex]\frac{dA}{dr} = 2\pi(12in)(2\frac{in}{min})[/tex]

[tex]\frac{dA}{dt} = 48\pi\frac{in^{2}}{min}[/tex]

b) In order to solve part b, we can start with the formula for the volume:

[tex]V=\pi r^{2} h[/tex]

and solve the equation for h, so we get:

[tex]h=\frac{V}{\pi r^{2}}[/tex]

So now we can rewrite the equation so we get:

[tex]h=\frac{V}{\pi}r^{-2}[/tex]

and now we can take its derivative so we get:

[tex]dh=\frac{V}{\pi} (-2) r^{-3} dr[/tex]

we can rewrite the derivative so we get:

[tex]\frac{dh}{dt}=-2\frac{V}{\pi r^{3}}\frac{dr}{dt}[/tex]

we can take the original volume formula and substitute it into our current derivative, so we get:

[tex]\frac{dh}{dt}= -2\frac{\pi r^{2} h}{\pi r^{3}} \frac{dr}{dt}[/tex]

and simplify:

[tex]\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}[/tex]

so now we can go ahead and substitute the values  provided by the problem:

[tex]\frac{dh}{dt} =-2\frac{13in}{12in} (2\frac{in}{min})[/tex]

Which simplifies to:

[tex] \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}[/tex]

c)

Part c was explained as part of part b where we got the expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of the height h and the radius r:

[tex]\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}[/tex]

The rate of change of the height of the pizza with respect to (w.r.t.) time

can be found given that the volume of the pizza is constant.

Reasons:

The height of the dough when t = k is 13 inches

Radius of the dough = 12 inches

Rate at which the radius of the dough is increasing, [tex]\dfrac{dr}{dt}[/tex] = 2 in.²/min

(a) Required: The rate of increase of the surface area with time

Solution:

The circular surface area, A = π·r²

By chain rule of differentiation, we have;

[tex]\dfrac{dA}{dt} = \mathbf{\dfrac{dA}{dr} \times \dfrac{dr}{dt}}[/tex]

[tex]\dfrac{dA}{dt} = \dfrac{d ( \pi \cdot r^2)}{dr} \times \dfrac{dr}{dt} = 2 \cdot \pi \times 2 = 4 \cdot \pi[/tex]

The rate of increase of the surface area with time, [tex]\mathbf{\dfrac{dA}{dt}}[/tex] = 4·π in.²/min.

(b) Required: The rate of decrease of the height with respect to time

The volume of the pizza is constant, given by; V = π·r² ·h

Therefore;

[tex]h = \mathbf{ \dfrac{V}{\pi \cdot r^2}}[/tex]

[tex]\dfrac{dh}{dt} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} \times \dfrac{dr}{dt} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} \times \dfrac{dr}{dt} = \mathbf{-2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt}}[/tex]

[tex]\dfrac{dh}{dt} = -2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt} = -2 \times \dfrac{13}{12} \times 2 = \dfrac{13}{3} = 4. \overline 3[/tex]

The rate at which the height of the dough is decreasing, [tex]\mathbf{\dfrac{dh}{dt}}[/tex]= [tex]\underline{4.\overline 3 \ in./min}[/tex]

(c) Required:]The expression for the rate of change the height of the dough with respect to the radius of the cone.

Solution:

[tex]\dfrac{dh}{dr} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} = -2 \cdot \dfrac{h}{r}[/tex]

[tex]\dfrac{dh}{dr} = \mathbf{ -2 \cdot \dfrac{h}{r}}[/tex]

The rate of change the height of the dough w.r.t. the radius is [tex]\underline{\dfrac{dh}{dr} = -2 \cdot \dfrac{h}{r}}[/tex]

Learn more here:

https://brainly.com/question/20489729

Answer:

2400

Step-by-step explanation:

because 6 percent of 40000 is 2400 please mark brianliest

Answer:

Sorry I feel bad I don't kt the answer sorry hope you find the answer tho

Step-by-step explanation:

sorry

Answer:

Yes, the bathroom has enough water and shampoo for all of them.

Step-by-step explanation:

Answer:It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Case 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes :

Case 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes:

Answer :

The two equations are :

For pasta:

For sauce:

Step-by-step explanation:

Answer: (C) 42 cm

Work Shown:

(length on paper)/(real length) = (length on paper)/(real length)

(1 cm)/(7 cm) = (6 cm)/(x cm)

1/7 = 6/x

1*x = 7*6

x = 42

The actual length of the dog is 42 cm.

Answer: x = -49

Step-by-step explanation:

hope this helped