jack has $7.55 of change in his pocket. if he has 4 more dimes than than nickels, and twice as many quarters as nickels, how many of each coin does jack have

Complete Question:

Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?

s(t)•h(t)= (3x-4)(2x-8)

= 6x² - 24x -8x - 32

= 6x² - 32x - 32

Answer:

Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.

Advice: Jamie should take note of the rule that applies when multiplying signs.

Step-by-step Explanation::

To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:

s(t)•h(t)= (3x-4)(2x-8)

Using distributive property, do the following:

[tex] 3x(2x - 8) -4(2x - 8) [/tex]

[tex] 3x*2x -3x*8 -4*2x -4*-8 [/tex]

[tex] 6x^2 - 24x - 8x + 32 [/tex] (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)

Add like terms

[tex] 6x^2 - 32x + 32 [/tex]

Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.

Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.

Step-by-step explanation:

For 32:

The factors are as shown:

32 = 2*2*2*2*2

32 = 2²*2³

32 = 2²⁺³

32 = 2⁵ (Base of 2 and power of 5)

For 81:

factors

81 = 3*3*3*3

81 = 3²*3²

81 = 3²⁺²

81 = 3⁴ (Base of 3 and power of 4)

For 100:

factors

100 = 10*10

100 = 10² (Base of 10 and power of 2)

Step-by-step explanation:

Given the line y-1 = 1(x+2), in order to know the line that is perpendicular to the given line, we will first find the slope of the known line.

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

Rewrite the equation given

y-1 = 1(x+2)

y-1 = x+2

y = x+2+1

y = x+3

Comparing to the standard form, the slope m = 1.

For two lines to be perpendicular, the product of their slope must be -1 i.e mM = -1

Substitute

1(M) = -1

M = -1

For us to know the line that is perpendicular to the given line, its slope must be -1.

Since none of the equation has a slope of -1, hence none of the lines are perpendicular to the line y - 1= 1(x+2).

Answer:

8 days

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Answer:

1-x=179

Step-by-step explanation:

Answer:

All rational numbers are real,

Answer:

False

Step-by-step explanation:

This is because all non terminating numbers are not rational because they a non terminating number may non repeating which means it may not be able to go in p/q form, hence, NOT ALL NON TERMINATING NUMBERS ARE RATIOANL, BUT FEW ARE.

If my answer helped, kindly mark me as the brainliest !!

Thanks!!

Answer:

da de da da da de do re mi fa so la mi AAAAAAAAAAA

Step-by-step explanation:

I can speak the language of the gods xD

Answer:

-12 + 9p

Step-by-step explanation:

Original Equation:

-12 - 5p + 2(6p + p)

Distributive property.

2 x 6p = 12p

2 x p = 2p

Equation:

-12 - 5p + 12p + 2p

Subtract 5p from 12p

-12 + 7p + 2p

Add.

-12 + 9p

Hope this helped :)

Please consider Brainliest :)

Answer:

Compares 3 meals to 1 day

Step-by-step explanation:

The world has made it a basis that most people eat 3 meals a day.

One meal for Breakfast:

This Time Ranges from 6 to 11 am

One meal for Lunch:

This Time Ranges from 11 to 3 pm

One meal for Dinner:

This Time Ranges from 3-10 pm

Hope I could help! If you need anymore assistance, feel free to ask me!

Answer:

I think the answer is 2/-3

Step-by-step explanation:

-3/2

x   y

Rise/Run

Answer:

C

Step-by-step explanation:

[tex]\frac{d}{dx} (8x^-1)\\-8x^{-2}\\[/tex]

using x = -3

[tex]-8(-3)^{-2}\\\frac{-8}{9}[/tex]

The instantaneous slope of the function y = 8/x at x = -3 is -8/9.

Option C is the correct answer.

We have,

To find the instantaneous slope of the function y = 8/x at x = -3, we can differentiate the function with respect to x.

Differentiating y = 8/x using the power rule, we get:

dy/dx = -8/x²

Now, we can evaluate the instantaneous slope at x = -3 by substituting the value into the derivative:

dy/dx = -8/(-3)²

= -8/9

Therefore,

The instantaneous slope of the function y = 8/x at x = -3 is -8/9.

Learn more about derivatives here:

https://brainly.com/question/29020856

#SPJ2

Answer:

-2/3

Step-by-step explanation:

Add the first two then subtract

The answer to the equation is B, [tex]-\frac{2}{3}[/tex]

First, you must add the the fractions. You add the numerator because all three fractions have like denominators.

[tex]-\frac{8}{9} +\frac{4}{9} -\frac{2}{9}=\frac{6}{9}[/tex]

Then, you must simplify [tex]-\frac{6}{9}[/tex]

[tex]-\frac{6}{9} =-\frac{2}{3}[/tex]

The answer to the equation is [tex]-\frac{2}{3}[/tex]

Answer:

-28m-12

Step-by-step explanation:hope that helps :)

=(−4)(3+7m)

=(−4)(3)+(−4)(7m)

=−12−28m

=−28m−12

Answer:

-4(3+7m) = -28m - 12

Step-by-step explanation:

-4 (3 + 7m)

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

= -12 + (-28)

= -12 -28m

Answer:the answer is b :)

Step-by-step explanation:

Answer:

The answer is B. (2x-3)

Answer:

Dividend  divided by Divisor = Quotient

5 divided by 8 = 0.625

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

because 36 divided by 6 is 6 and that is how much dough she produces in an hour so if you added two more 6s to 6 to make it 8 meaning you are adding 12 because that is how much dough she makes in an hour

Answer:

The value of p at q = 5 is 406.25

Step-by-step explanation:

∵ p varies directly as the cube of q

→ That means p ∝ q³

∴ The equation of variation is p = kq³, where k is the constant of variation

∵ p = 26 when q = 2

→ Use them to find the value of k

∵ 26 = k(2)³

∴ 26 = k(8)

∴ 26 = 8k

→ Divide both sides by 8

∴ [tex]\frac{26}{8}=\frac{k}{8}[/tex]

∴ 3.25 = k

→ Substitute it in the equation of variation

∴ p = 3.25 q³ ⇒ equation of variation

∵ q = 5

→ Substitute it in the equation of variation to find p

∴ p = 3.25 (5)³

∴ p = 406.25

∴ The value of p at q = 5 is 406.25

Answer:

false

Step-by-step explanation:

all rectangles are squares not all squares are rectangles

Answer:

She can serve up to 22 people

Step-by-step explanation:

Given that the total amount of soup that Joy makes in liters is 6.5L

also that the portions are in ml

280ml to liters we have 280/1000= 0.28L

our aim is to know weather 6.5L divided by 0.28L  can be up to 22

let us try it out

6.5/0.28= 23.214

we have 23.

Therefore the 6.5L can serve up to 22 portions of  280ml in 6.5 L of soup

Answer:

1/3

Step-by-step explanation:

On left side its 6:2 so 6/2 is 3

the scale factor is 1/3 because figure is a reduction

hope it helps ;)

Answer:

1/3

Step-by-step explanation:

The side that's highest is 9 units, the the image its 3. 3/9= 1/3

Answer:

y=1

Step-by-step explanation:

Answer:

A 2.5 × 10^–7 m

Step-by-step explanation:

Given

wavelength of violet light = 4.0 x 10^−7 m.

The wavelength of red light = 6.5 x 10^−7 m

To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light

Difference in  wavelength of red light and violet light =

wavelength of red light -wavelength of violet light

                         = 6.5 x 10^−7 m - 4.0 x 10^−7 m

Difference in  wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m

Difference in  wavelength of red light and violet light =2.5 x 10^−7 m

Thus,

wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light

option A

Answer:

-2

Step-by-step explanation:

1.Subtract 3 from both sides and the equation is -2z=6

2.Divide both sides by -2 and the equation is z=-3

3.Multiply -3 by 2/3 and you get -2

Answer:

2/3z = -2

Step-by-step explanation:

1. First you want to find out what z is, so you have to solve for z.

2. To solve for z, first subtract 3 from the 3 and the 9. 3 minus 3 is equal to 0, so it cancels out. 9 minus 3 is equal to 6.

3. The new equation is -2z = 6, so now you have to divide -2z by -2 and 6 by -2. -2z divided by -2 is equal to 1z or z, and 6 divided by -2 is equal to -3.

4. The simplified equation is z = -3.

5. Now that we solved for 1z, we have to solve for 1/3 by dividing 1 by 3 and -3 by 3. 1 divided by 3 is 1/3, and -3 divided by 3 is -1.

6. We have solved for 1/3z (1/3z = -1), but now we want to solve for 2/3z so we have to multiply 1/3z by 2, and -1 by 2. 1/3z times 2 is 2/3z, and -1 times 2 is equal to -2.

7. The simplified equation for the value of 2/3z in the equation -2z + 3 = 9 is 2/3z = -2

Answer:

$2.85

Step-by-step explanation:

8.55/3

Answer:

$2.85 per foot

Step-by-step explanation:

all u gotta do is 8.55/3

Answer:

$48.13

Step-by-step explanation:

before $44.98

sale tax 7.00% or 3.15

after-tax price $48.13

Answer:

m⊥ = –½

Step-by-step explanation:

First, put the given equation in slope-intercept form:

2x – y = –6

–y = –2x – 6

y = 2x + 6

The slope of the line perpendicular to the line given will be the negative reciprocal of the given line's slope, so:

If m = 2, then m⊥ = its negative reciprocal:

m · –1

2 · –1

–2  →  –½

So, the negative reciprocal of 2 is –½.