William buys a book for $14.85. If he pays with a $20 bill, what will his
change c be? Write and solve an equation to find out.

Answer:

A bag of apples cost $3.2 and orange $1.6

Let oranges be o and apples be a

making o the subject

solve them simultaneously

11.2 - 3a = (16-4a)/2

2(11.2 - 3a) = 16 -4a

22.4 -6a = 16 -4a

2a = 6.4

a = 3.2

➜ Therefore a bag of apples cost $3.2

Find the cost of oranges:

o = 11.2 - 3a

o = 11.2 -3(3.2)

o = 1.6

➜ Therefore a bag of oranges cost $1.6

Hello!

4.63 x 10^-3 = 0,00463

Answer:

$62

Step-by-step explanation:

To start off, we will calculate the end amount he will pay:

A = P(1 + rt)

   = 1800(1+3(0.08)

   = 1800(1+0.24)

   = 1800(1.24)

   = 2232

He will have to pay 2232 dollars in 3 years

Since he plans to pay it off with monthly payments throughout the 3 years, we will have that loan divided by the amount of times he will make those monthly payments

3 years = 3 ( 12 months )

            = 36 months

He will make 36 monthly payments

2232 / 36 = 62

So, in each monthly payment, he will pay $62.

Feel free to ask me any questions you may have about this problem!

28 or C

Prime numbers are numbers that cannot be made by multiplying other numbers.

The first five prime numbers are 2, 3, 5, 7, and 11.

Add them together to get 28.

2+3+5+7+11

= 28

Answer:

Paper and my fingers, that's what I use.

An abacus if you know how to use it

Answer:

this looks extremely hard im only in middle school and we have not learned this yet

Step-by-step explanation:

Answer:

a)  [tex]y=-5x+70[/tex]

Step-by-step explanation:

Choose points on the line:  (0, 70) and (4, 50)

Let [tex](x_1,y_1)[/tex] = (0, 70)

Let [tex](x_2,y_2)[/tex] = (4, 50)

Use the slope formula to find slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\implies m=\dfrac{50-70}{4-0}=-5[/tex]

Use point-slope form of linear equation to find equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-70=-5(x-0)[/tex]

[tex]\implies y=-5x+70[/tex]

Answer:

31.25 seconds

Step-by-step explanation:

Examine division

11.6 + 24.4 = 36 m < 50m

and 36 + 37.2 - 73.2m > 50m

50 - 36 = 14m

14 * 23.25/37.2 = 8.75 seconds

7.25 + 15.25 + 8.75 = 31.25 seconds

so it would take him 31.25 seconds to swim 50 meters.

Answer: m=45

Explanation:The slope of the line would be the same as in the equation (

m

=

4

5

) .

The only difference of a line running parallel would be the

b

value in

y

=

m

x

+

b

The activity described is an Observational Study. The explanatory variable was the design of the surrounding merchandise.

The exercise is an observational study because the researcher does not interfere with the subjects.

B) The study does not suffer from a lack of realism. The people were recruited randomly and were not told what to observe, rather, they were questioned later on what they had observed.

Realism in research refers to the concept that what occurs in the mind are tangible. These tangible occurrences may modify behavior and the factors that trigger such behaviors can be observed and identified by the use of qualitative means.

See the link below for more about Observational Studies:

Observational Studies:https://brainly.com/question/1051685

See the link below for more about Realism:

https://brainly.com/question/26483670

The center of the hanger represents an equal sign, since both sides of the hanger are equal.

Given different coloured triangles and shapes, we can assign a variable to each of them.

Let one green triangle be equal to [tex]a[/tex].

Let one blue square be equal to [tex]b[/tex]

Let one red circle be equal to [tex]c[/tex].

Let one yellow pentagon be equal to [tex]d[/tex].

On the left side of the hanger/equation, there are 3 green triangles. This means that one of our terms in our equation will be [tex]3a[/tex].

Under the triangles on the left side is 1 blue square. This means that the next term could be [tex]1b[/tex], or just [tex]b[/tex].

Next is 2 red circles ⇒ [tex]2c[/tex]

And finally are 3 yellow pentagons ⇒ [tex]3d[/tex]

To sum up the left side as an expression, we can write all the terms we have just written as a sum:

[tex]3a+b+2c+3d[/tex]

Now, after doing the same procedure for the right side of the hanger, we get:

[tex]2a+3b+c+2d[/tex]

For now, we only have two expressions representing the two sides of the hanger:

Left: [tex]3a+b+2c+3d[/tex]

Right: [tex]2a+3b+c+2d[/tex]

To turn these into an equation, we must have an equal sign.

Remember that both sides of the hanger are equal. Knowing this, we can state the following:

Left side = Right side

[tex]3a+b+2c+3d = 2a+3b+c+2d[/tex]

[tex]3a+b+2c+3d = 2a+3b+c+2d[/tex]

Step-by-step explanation:

The solution is above. please read it and give me the feedback if you get it or not.

If you don't, then it will be an honor to explain it further

The volume of the rectangular prism is 3 / 4 inches³

The volume of a right rectangular prism is describe as follows;

where

l = length

w = width

h = height

The rectangular prism is made up of 48 cubes. Each cube has an edge length of 1 / 4 inches.

The volume of the rectangular prism is the sum of the volume of the cubes.

Therefore,

The cubes are 48 in number. Therefore,

volume of rectangular prism = 1 / 64 × 48 = 48 / 64

volume of rectangular prism = 3 / 4 inches³

learn more on rectangular prism here: https://brainly.com/question/21308574

Answer:

10=5x2

Step-by-step explanation:

"is" is replaced with an "=" and "times as many" is replaced with a "x" because x is the multiplication or "times" sign.

Answer:

B

Step-by-step explanation:

[tex] \cos( \alpha ) + i\sin( \alpha ) = {e}^{i (\alpha + 2\pi)} [/tex]

z = 3(cos π/2 + i sin π/2) =→

[tex]3 {e}^{i \frac{\pi}{2} } [/tex]

z⁷ =

[tex] {3}^{7} {e}^{i \frac{7\pi}{2} } = {3}^{7} {e}^{i \frac{(7 - 4)\pi}{2} } = {3}^{7} {e}^{i \frac{3\pi}{2} } = {3}^{7} ( \cos( \frac{3\pi}{2} ) + i \sin( \frac{3\pi}{2} ) ) = 2187( \cos( \frac{3\pi}{2} ) + i \sin( \frac{3\pi}{2} ) )[/tex]

Answer:

CP =158,750

Step-by-step explanation:

[tex] {127000} \times \frac{25}{100} \\ \\ \frac{127000}{1} \times \frac{25}{100} \\ \\ \frac{3,175,000}{100} \\ \\ = 31,750 \\ \\ add \: 31,750 \: to \: 127000 \\ \\ = 158,750[/tex]

Answer

95250

Step by step explanation

selling price of i phone = 127000

selling price of i phone = 127000profit = 25% of 127000

selling price of i phone = 127000profit = 25% of 127000 = 31750

selling price of i phone = 127000profit = 25% of 127000 = 31750cost price of i phone = 127000 - 31750

= 95250

I hope my answer is helpful

Answer:

-1/4(x-4)²-b

Step-by-step explanation:

Here,

The vertex of parabola is (4,-7)

Suppose that the equation of parabola is a(x-4)²-b

Now,

[tex]y=a(x-4)^{2} -b\\\\a=\frac{1}{-7-(-5)*2}\\\\a=\frac{1}{-7+5*2} \\\\a=-\frac{1}{4} \\[/tex]

Replacing value of a.

Hence,y=-1/4(x-4)²-b

Answer:

3x + 14y

Step-by-step explanation:

(5x + 9y - z ) + (-2x + 7y + z)

5x + 9y - z - 2x + 7y + z

3x + 9y - z + 7y + z

3x + 14y

[tex]( - 6) {}^{3} = - 216 \\ {( - 7)}^{2} = 49[/tex]

Answer:

Straight line graph with positive gradient (slope)

y-intercept: (0, -3)

x-intercept: (12, 0)

Step-by-step explanation:

[tex]y=\dfrac14x-3[/tex]  is a linear function

The line intercepts the y-axis when x = 0:

[tex]y=\dfrac14(0)-3=-3[/tex]

Therefore, the y-intercept is (0, -3)

The line intercepts the x-axis when y = 0:

[tex]\implies \dfrac14x-3=0\\\\\implies \dfrac14x=3\\\\\implies x=12[/tex]

Therefore, the x-intercept is (12, 0)

[tex]\\ \rm\Rrightarrow y=1/4x-3[/tex]

Graoh attached

Answer:

-2

Step-by-step explanation:

[0-(-2)](rise) over [(-4) - (-3)](run)

2/-1 = -2 = slope

HOPE THIS HELPS!!!!

Answer:

∠K'=37°

∠L'=43°

∠M'=100°

Step-by-step explanation:

Given:

The triangle KLM is reflected over the y-axis and translated 3 units up.

To find the angles of a triangle K'L'M':

We know that reflection and translation transformation do not affect the angles of the triangle.

So, the angles are,

∠K'=37°

∠L'=43°

∠M'=100°

Answer:

D. (3,1)

Step-by-step explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

[tex]x-2y=1,x+4y=7[/tex]

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

[tex]x-2y=1[/tex]

Add 2y to both sides of the equation

[tex]x=2y+1[/tex]

Substitute 2y+1 for x in the other equation, x+4y=7.

[tex]2y+1+4y=7[/tex]

Add 2y to 4y.

[tex]6y+1=7[/tex]

Subtract 1 from both sides of the equation

[tex]6y=6[/tex]

Divide both sides by 6.

[tex]y=1[/tex]

Substitute 1 for y in x=2y+1. Because the resulting equation contains only one variable, you can solve for x directly.

[tex]x=2+1[/tex]

Add 1 to 2.

[tex]x=3[/tex]

The system is now solved.

[tex]x=3,y=1[/tex]

I hope this heps you

:)

Answer:

324π in.³

Step-by-step explanation:

The figure is a cone and a half sphere.

V = (1/3)πr²h + [(4/3)πr³]/2

V = (1/3)π(36 in.²)(15 in.) + (2/3)π(216 in.³)

V = [180π + 144π] in.³

V = 324π in.³

Answer:

multiplication rule of exponents

Step-by-step explanation:

[tex]\textsf{The exponent multiplication rule states: }a^b \cdot a^c=a^{b+c}[/tex]

[tex]\textsf{Therefore, the next step after }\log_b(b^x \cdot b^y) \textsf{ would be }\log_b(b^{x+y})[/tex]  

Answer:

C is correct.