Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left. Select all the equations that represent this situation.

Answer:

x = -5; y = 7

Step-by-step explanation:

We can use elimination to solve for x.

3x + 2y = -1

-1 (4x + 2y) = -1 (-6)

3x + 2y = -1

-4x -2y = 6

The 2y's cancel out and solving for x gives us x = -5.

Plugging -5 into any one of the equations gives us y = 7

Answer:

$17,805.64

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 11,000.00(1 + 0.035/1)(1)(14)

A = 11,000.00(1 + 0.035)(14)

A = $17,805.64

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $11,000.00 at a rate of 3.5% per year compounded 1 times per year over 14 years is $17,805.64.

After 14 years, Taylor's account would have approximately $19,580 in it, assuming no deposits or withdrawals are made and the interest rate remains constant at 3.5% compounded continuously.

We have,

The formula for continuous compounding is:

A = P[tex]e^{rt}[/tex]

where A is the final amount, P is the principal (initial amount), e is Euler's number (approximately equal to 2.71828), r is the annual interest rate as a decimal, and t is the time in years.

In this case,

P = $11,000, r = 0.035 (3.5% as a decimal), and t = 14 years.

Plugging in these values, we get:

A = 11000 x e^(0.03514)

Using a calculator, we can evaluate this expression to get:

A ≈ $19,579.94

Rounding to the nearest dollar gives:

A ≈ $19,580

Therefore,

After 14 years, Taylor's account would have approximately $19,580 in it, assuming no deposits or withdrawals are made and the interest rate remains constant at 3.5% compounded continuously.

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Answer:

Mom=30 Daughter=6

Step-by-step explanation:

M=5×D

M+6=3×D

5D=3D-6

2D=6

D=12

M=12×3=36

Now: D=12-6=6

M=36-6=30

x = daughter's age

so:

5x = 6 + 3x

5x - 3x = 6

2x = 6

x = 6/2

x = 3

now just do the equations to find her age

mother before 6 years: 5 x 3

mother after 6 years: 3 x (3+6)

Hopefully, this helps! If it doesn't tell me in the comments so I can explain it better!

Answer:

Substitution

Step-by-step explanation:

[tex] \sqrt{x} = {x}^{ \frac{1}{2} } [/tex]

so

[tex] \sqrt{ {x}^{18} } = {( {x}^{18}) }^{ \frac{1}{2} } = {x}^{9} [/tex]

[tex]0.1 \sqrt{ {a}^{6} } = 0.1 \times {a}^{3} [/tex]

Answer: You just get 66 and 30 and add it together so 96 and the you minus 96 from 180 which equals 84 so the missing degree is 84!

Step-by-step explanation:

The value of x is 1.

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

Dimension of parallelogram P 10 and x + 3.

Dimension of parallelogram P' 20 and 8.

The value of x.

Lenght of P' = Dilation x Lenght of P

              20 = Dilation x 10

      Dilation = 2

Then

width of P' = Dilation x width of P

8 = 2 (x + 3)

4 = x + 3

x = 1

So the value of x is 1.

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Answer:

the value of x is 1

Step-by-step explanation:

Answer:

93.17

Step-by-step explanation:

86 +6 $ =92$ +59 +58 =93$ and 17 cents

Answer:

14

Step-by-step explanation:

To evaluate 2 + 3x for x = 4, substitute x = 4 into the expression.

x=4⇒2+3×4=2+12=14

Answer: 106

Step-by-step explanation: you have a total of 180 degrees in there, so you only gotta find the unknown value of the other side so you do 180 - 64 which is 116. then you see that in order to get 116 you gotta add it times ten which you are gonna subtract by 10 which is 106, and 106 will be your answer.

The found value of x is 106°

We know that the measures of the sum of an inner triangle are equal to 180. So, to solve this question, we will just: add the like terms with equality equal to 180.

Finally, let's calculate as a first degree equation, just: isolating x and dividing both sides.

Therefore, the answer will be x = 106°

Answer:

Answer:I think the answer is 60.

Answer:

1

Step-by-step explanation:

Use the Negative Power Rule:

x^-a=1/x^a

3*1/3

Cancel 3

=1

Answer:

1.

Step-by-step explanation:

Use the Order of Operations method to solve. (P.E.M.D.A.S.)

Simplify the exponent:

[tex]3(3^{-1} )[/tex]

[tex]3(\frac{1}{3} )[/tex]

Multiply 3 and 1/3:

[tex]3(\frac{1}{3} )=1[/tex]

Answer:

B)   x = 8[tex]\sqrt{3}[/tex] ;  y = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

in a 30-60-90° triangle the sides, respectively, are in the ratio of

1 : [tex]\sqrt{3}[/tex] : 2

we can find 'x' by creating this proportion:

12/[tex]\sqrt{3}[/tex] = x/2

cross-multiply to get:

[tex]\sqrt{3}[/tex]x = 24

x = 24/[tex]\sqrt{3}[/tex]

we can simplify this by 'rationalizing the denominator' which is to

multiply numerator and denominator by [tex]\sqrt{3}[/tex] to get:

(24[tex]\sqrt{3}[/tex])÷3, which is 8[tex]\sqrt{3}[/tex]

we know that side 'y' is half that of side 'x'

therefore y = 4[tex]\sqrt{3}[/tex]

Answer:

2(8a + 8)

Step-by-step explanation:

The easiest way to do this is to substitute a for a number. For example, let's just make things easy and make a = 1.

So, if a = 1, the expression 16a + 8 would be 16(1) + 8 = 24.

Let's find all the expressions that would also equal 24 if a = 24.

Plug in 1 for a in each of the equations. You will find that 2(8a + 8) will not equal 24 if a equals 1.

2(8a + 8)

2(8(1) + 8

2(8 + 8)

2(16)

32

Answer:

Slope = -2/3

Step-by-step explanation:

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

Slope = [tex]\frac{-1 -(-5)}{-4-2} = \frac{4}{-6} =-\frac{2}{3}[/tex]

Answer:

1/4 of the work

Step-by-step explanation:

A quarter (1/4) of the work is done in 2 days. Let's break it down:

Work can be finished in 8 days total so with 2 days it is only partially completed. If we set it up as 2/8 we can simplify to get 1/4. Therefore, we know only a quarter of the work is done so far.

Answer:

42.27

Step-by-step explanation:

6.5 + 5.3 + 5.3 + 7.1 + 9.7 + 1.0 + 8.0 =  42.27

Sin theta, cosine theta and tangent theta are the angle of trigonometry.

What are the angle in trigonometry?

There are total six angles in the trigonometry which are sin theta, cosine theta,  tangent theta, cotangent theta, secant theta, co secant theta.

Given information-

The value of the cosine theta given in the problem is 0.3090.

It can be written as,

[tex]\cos\theta=0.3090[/tex]

To find the value of theta, took the cosine function to other side of the equation.

This will make the cosine angle as arc cosine. Thus,

[tex]\theta=\cos^{-1}(0.3090)[/tex]

Solve it further as,

[tex]\theta=72^o[/tex]

Hence the value of the angle is 72 degrees.

Use this value to fine the angle of sin theta and tangent theta.

            [tex]\sin72^o=0.9511[/tex]

        Hence, the value of sine theta is 0.9511.

          [tex]\tan72^o=3.078[/tex]

        Hence, the value of tangent theta is 3.078.

Hence,

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Answer:

-6/7

Step-by-step explanation:

(-3/2)/(7/4)=-3/2*4/7=-12/14=-6/7

Step-by-step explanation:

as the other answer did correctly :

when dividing by a fraction, this is the same as multiplying with the upside-down fraction.

so,

-3/2 / 7/4 or -3/2 ÷ 7/4 (both symbols mean the same) is the same as

-3/2 × 4/7

and multiplying fractions is easy (the top parts are multiplied and create the result top part, and the bottom parts are multiplied and create the result bottom part).

so, the result is

(-3×4) / (2×7) = -12/14 = -6/7

Answer:

B, 49π ft²

Step-by-step explanation:

Formula: Area of Circle = r²π

Step 1:

Radius = Diameter/2

14/2 = 7

Step 2:

Find the area of the circle using the formula.

7²π = 49π

Answer: 49π ft²

The unit cost of the fencing and the cost of a bag of mulch together with

the area and perimeter of the garden give a cost sum of $36.5.

Response:

Cost of the barrier per feet (unit cost) = $0.75

Area covered by one bag of mulch = 7 square feet

Cost of one bag of mulch (unit cost) = $5

From the given diagram, we have;

Area of the garden = 8 ft. × 2 ft. + 0.5 × 8 ft. × 3 ft. = 28 ft.²

[tex]Number \ of \ bags \ of \ mulch \ required = \dfrac{28 \, ft.^2}{7 \, ft.^2/ bag} = \mathbf{ 4 \, bags}[/tex]

Length of fencing = 2 ft. + 8 ft. + 2 ft. + 5 ft. 5 ft. = 22 ft.

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Answer:

8x²+8x-2

Step-by-step explanation:

P = 2l + 2w

P = 2(4x²-x+2) + 2(5x-3)

P = 8x²-2x+4 + 10x-6

combine like terms:

P = 8x²+8x-2

Answer:

12 = 2 * 2 * 3 = 22 * 3

Step-by-step explanation:

For the prime factorization of 12, we can add in exponents and rewrite our prime factorization with the exponents like this:

i'm assuming you need the prime factors, the prime factors are

2² × 3¹

Answer:

-1

Step-by-step explanation:

Formula: [tex]y=mx+b[/tex]

Using two points:

Since we are given the [tex]y[/tex] and [tex]x[/tex] value, what is left is the [tex]m[/tex] and [tex]b[/tex] in the formula, which represent slope and the y-intercept.

Slope

[tex]m[/tex] is slope

Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug points:  [tex]\frac{3-(-2)}{4-9}[/tex]

Solve:            [tex]\frac{5}{-5}[/tex]

Simplify:       [tex]\bold{m=-1}[/tex]

Therefore, the slope is -1

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y-intercept

[tex]b[/tex] is the y-intercept

Plug one of the points and the slope into the formula, solve for b: (4, 3)

[tex]3=-1(4)+b[/tex]

[tex]3=-4+b[/tex]

[tex]3+4=-4+b+4[/tex]

[tex]\bold{b=7}[/tex]