Noah and his dad went out for lunch. Their meal cost $32. The sales tax rate is 8%. Noahś dad left a 15% tip on the $32. How much did they pay in total

Answer:

First number is -2.5

Second number 5

Step-by-step explanation:

Four times the first number minus three times the second number is 2.

To represent this statement, 4x -3y =2

Two times the first number increased by three times the second is 10.

To represent thsi statement, 2x+ 3y = 10

4x - 3y = 2

2x + 3y =10

4x - 2x = 2x

2x = -5

x= -2.5

The first number is -2.5

By using Substitution

2x + 3y = 10

2(-2.5) + 3y = 10

-5 + 3y = 10

3y = 10 +5

3y =15

y = 5

The second number is 5

....To check my answer

-5 + 15 = 10

Answer:

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The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Given the exponential equation expressed as:

[tex]A=6500(1.0175)^{4t}\\[/tex]

Given that A = 20100, Substituting into the expression will give;'

20100 = 6500(1.0175)^4t

20100/6500 = (1.0175)^4t

3.0923 =  (1.0175)^4t

Taking the ln of both sides

ln3.0923  = 4tln(1.1075)

4t = ln3.0923 /ln(1.1075)

4t = 1.12891/0.1021

4t = 11.05690

t = 11.05690/4

t = 2.76

t ≈ 3 years

Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Learn more on compound interest here: https://brainly.com/question/24274034

Two units down, line of symmetry at x=0, decreasing from negative infinity to 0, increasing from 0 to infinity

Answer:

yes your math seems about right but wait for someone else to respond also because im not completely sure

Step-by-step explanation:

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

five pears out of eleven fruit total

hope this helps!

Answer:

5 : 11

Step-by-step explanation:

total fruit = 4 + 2 + 5 = 11

Then the ratio of

pears : all fruit

= 5 : 11

Answer:

i need points sorry

Step-by-step explanation:

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Answer:

x=6+√5 or x=6−√5

Answer:

Step-by-step explanation:

For a given function f(x), we define the domain as the set of the possible inputs of the function and the range as the set of the outputs of the function.

We will see that both domain and range are the set of all real numbers.

D = (-∞, ∞)

R = (-∞, ∞)

Here we have the function:

The first thing we need to do is find the domain.

We start by assuming that the domain is the set of all real numbers and then we try to find some given values of x that cause some undefined operation, and then we remove these values of x from the domain.

Where this would be something like a zero in the denominator or something like that. We also could have specific restrictions to the domain that are applied in some specific cases (for example if x represents a length we should remove the negative values from the domain).

Here we can see that we do not have any indetermination, thus the domain is the set of all real numbers.

Now to study the range we need to see the general function, we can see that as x tends to negative infinity y will also tend to negative infinity, while when x tends to infinity y will also tend to infinity.

Then the range will also be the set of all real numbers.

Answer:

A. is the type of potential energy

Step-by-step explanation:

examples of gravitational potential energy : a raised in weight , a yoyo,water in a dam,a car parked on a hill

Answer:

undefined

Step-by-step explanation:

Slope = y - y / x - x

9 - (-1) / -7 - (-7)

= 9 + 1 / -7 + 7

= 10 / 0, undefined.

Cannot divide by zero.

Answer:

B. is correct answer I think so

Step-by-step explanation:

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[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]

Given monomials are 3x⁷ , 4x² and -5x³

On multiplying them then

⇛ (3x⁷)×(4x²)×(-5x³)

⇛(3×4×-5) × (x⁷×x²×x³)

⇛ -60×x^(7+2+3)

Since , a^m × a^n = a^(m+n)

⇛-60 × x¹²

⇛ -60x¹² Ans.

also read similar questions: Multiplying Polynomials by Monomials: 2x (5x-2) = 10x-4x...

https://brainly.com/question/21877934?referrer

Find the product of the monomial and the polynomial: 4x^3y^3*(3x^3-7xy^2+2xy-y)..

https://brainly.com/question/20695867?referrer

[tex]3x^7 .4x^2.(-5)x^3=3.4.(-5).x^{7+2+3}=-60x^{12}[/tex]

ok done. Thank to me :>

You do not have the options listed, but I will tell you what the line needs:

[] A parallel line will need the same slope.

- The slope is our m in y = mx + b

[] What will this be for our problem:

- [tex]y=\frac{-7}{2}x-3[/tex]

- Our slope is [tex]\frac{-7}{2}[/tex]

[] So what will the line look like:

- [tex]y=\frac{-7}{2}x +?[/tex]

- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of [tex]\frac{-7}{2}[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Same thing as before!

First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.

Answer:

1/2 of a bale

Step-by-step explanation:

1/4 times 2 equals 1/2

z²-2i=0

Answer:

Solution given:

z⁴=-4

doing square root on both side

[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]

we know i²=-1

substituting i² we get

z²=[tex]\sqrt{2²*i²}[/tex]

z²=2i

z²-2i=0 is a required answer. where

z² and 2 is real number.

Answer:

  z = {-1 -i, -1 +i, 1 -i, 1 +i}

Step-by-step explanation:

Using Euler's formula, we can write the equation as ...

  z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer

Then the 4th root is ...

  z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3

  z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3

  z = ±1 ±i

  z = {1 +i, -1 +i, -1 -i, 1 -i}

_____

Additional comment

Values of n are only needed in the range 0–3, because the answers repeat for values other than those.

Answer:

x = 90 degrees

y = 50 degrees

Step-by-step explanation:

The angle where x lies is a right angle, and right angles = 90 degrees. A triangle adds up to 180 degrees, so you add 90 and 40 together and then subtract that from 180 degrees.

Answer: 25 students per teacher and 12 students per tutor. They need 2.4 tutors for the school

Using implicit differentiation, it is found that the area of the square is increasing at a rate of:

The area of a square of side length l is given by:

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

Applying implicit differentiation, the rate of change is given by:

[tex]\frac{dA}{dt} = 2l\frac{dl}{dt}[/tex]

Then:

[tex]\frac{dA}{dt} = 2l\frac{dl}{dt} = 2(3)(0.8) = 4.8[/tex]

Hence, option A is correct.

To learn more about implicit differentiation, you can take a look at https://brainly.com/question/25608353

Answer:

Y intercept = (0,-6)

X intercept = (9,0)

Step-by-step explanation:

To find the y-intercept of an equation, let x = 0 and then solve for y

6(0) - 9y = 54 (6 times 0 gives us 0)

0 - 9y = 54 (subtract 9y from 0 gives you -9)

-9y = 54 (divide both sides by -9, the left side cancels out and the right side gives you -6)

y = -6 and x = 0

To find the x-intercept of the equation just let y = 0 and then solve for x

6x - 9(0) = 54 (9 times 0 gives us 0)

6x - 0 = 54 (subtract 0 from 6x gives us 6x)

6x = 54 (divide both sides by 6, left side cancels, right side gives 9)

x = 9 and y = 0

Answer:

x ≈ 35.6

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos16° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{37}[/tex] ( multiply both sides by 37 )

37 × cos16° = x , then

x ≈ 35.6 ( to the nearest tenth )

Answer:

47

Step-by-step explanation:

20*47= 940

940*5=4,700

47*100=4,700

Answer:

  47.2°

Step-by-step explanation:

Triangles PRQ and SRQ are congruent by HL. In these right triangles, the acute angles are complementary.

angle PRQ  = angle SRQ = 90° -42.8° = 47.2°

The measure of angle PRQ is 47.2°.

Answer: 75%

Step-by-step explanation:

Since there are 3 even numbers on each die and 3 odd, each dice has a 50% chance of showing an even number.

An easier way to think about this might be what are the chances that both dice show odd, because that is the only scenario where neither show an even number.

To do this, simply multiply the chances together:

[tex]0.5 * 0.5 = .25[/tex]

Therefore, there is a 25% chance that both die will be odd, meaning there is a 75% chance that one or both of the dice show an even number

Answer: I think that it's -125/27

Step-by-step explanation: Convert into a complex fraction (-5/3)^3 and then cube the 5 and 3 and don't change the negative sign.  The answer then is -125/27

Hope it helps.