write 13/12 as a mixed number

EXPLANATION

Savings account balance = $2,764

Desired amount = $5,000

Let's call x to the amount of money the family needs.

The inequality that could be used to determine the amount of money the family needs is the following:

2,764 + x ≥ 5,000

Answer:

The answer would be -1

Step-by-step explanation:

Slope = ∆y/∆x

= (y2- y1 )/(x2- x1)

y2=3

y1= 7

x2=2

x1= -2

= (3-7)/(2--2)

= -4/(2+2)

= -4/4

= -1

Answer:

nn

Step-by-step explanation:

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

answer is 2.3 hope you get the answer

Answer: V = \(\frac{64}{3}\pi\)

Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:

V = \(\pi. y^{2}.\)Δx

Using the Disc Method, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:

V = \(\int\limits^a_b {\pi. y^{2} } \, dx\)

Then, for the region generated by  y = - x + 4:

V = \(\int\limits^4_0 {\pi.(-x+4)^{2} } \, dx\)

V = \(\pi.\int\limits^4_0 {(x^{2}-8x+16)} \, dx\)

V = \(\pi.(\frac{x^{3}}{3}-4x^{2}+16x )\)

V = \(\pi.(\frac{4^{3}}{3}-4.4^{2}+16.4 - 0 )\)

V = \(\frac{64}{3}.\pi\)

The volume of the revolved region is V = \(\frac{64}{3}.\pi\)

The evaluation of the definite integral that represents the volume of the solid is \(\mathbf{\dfrac{64 \pi}{3}}\)

Using the Disk Method to determine the volume of a solid formed by revolving the region about the x-axis and the interval [a, b]; we have:

\(\mathbf{V = \int ^b_a \pi (y)^2 \ dx}\)

where;

\(\mathbf{V = \int ^4_0 \pi \Big[-x +4 \Big]^2 \ dx}\)

\(\mathbf{V =\pi \int ^4_0\Big[-x^2 -8x+16 \Big] \ dx}\)

\(\mathbf{V =\pi \Big[\dfrac{x^3}{3} -4x^2+16x \Big]^4_0 \ dx}\)

\(\mathbf{V =\pi \Big[\dfrac{4^3}{3} -4(4)^2+16(4) -0 \Big]}\)

\(\mathbf{V =\dfrac{64 \pi}{3}}\)

Therefore, we can conclude that the evaluation of the definite integral that represents the volume of the solid is \(\mathbf{\dfrac{64 \pi}{3}}\)

Learn more about the volume of a solid here:

https://brainly.com/question/3845281

Answer:

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Step-by-step explanation:

3 dozen chocolate chip cookies

3 cups of flour

1 cup of sugar

2 cups of chocolate chips

The recipe is for 3 dozen cookies as stated above.

If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.

That means you need 2/3 of all the ingredients.

2/3 × 3 dozen chocolate chip cookies

2/3 × 3 cups of flour

2/3 × 1 cup of sugar

2/3 × 2 cups of chocolate chips

We simplify the amounts to:

2 dozen chocolate chip cookies

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

Answer: 1/5

Step-by-step explanation:

Answer:

I think it is it is 45.4°

Using simultaneous equations, during the dinner to raise money for a children's museum, 90 tickets were sold.

Simultaneous equations are two or more equations solved concurrently or at the same time.

Simultaneous equations are also called a system of equations.

The cost of one-person ticket = $200

The cost of two-people ticket = $350

The total number of attendees at the dinner = 130

The total ticket sales = $24,000

Let number of one-person ticket = x

Let number of two-people ticket = 2y

x + 2y = 130... Equation 1

200x + 250y = 24000... Equation 2

Multiply Equation 1 by 200:

200x + 400y = 26000... Equation 3

Subtract Equation 2 from Equation 3:

200x + 400y = 26000

-

200x + 350y = 24000

50y = 2000

y = 40

x = 130 - 2y

=  130 - 80

= 50

Thus, the number of tickets sold at the dinner was 90.

Learn more about simultaneous equations at https://brainly.com/question/16863577

#SPJ1

Step-by-step explanation:

For y=g(x) and y = f(x), we can set f(x) = g(x) and go from there.

\(4(2)^{-x} +3 = 8-2^{x}\\4 (2)^{-x} - 5 = -2^{x}\\\)

Here, we simply subtracted 8 from both sides

Next, we can substitute u in for 2^x to get

4 * (1/u) - 5 = -u

4/u - 5 = -u

Multiply both sides by u

4 - 5u = -u²

Add u² to both sides

u² -5u +4 = 0

Factor

(u-4)(u-1) = 0

We now know that our solutions to this are u = 4 and u = 1, so we must figure out when 2^x = 4 and 2^x = 1. We can then figure out that 2² = 4 and 2^0 = 1, so our answers are 2 and 0 for the second question.

For the first, we can simply plug 2 and 0 into f(x) to get (2,4) and (2,7) as our answers

Answer:

Ratio time to the number of burritos = 4:9

Step-by-step explanation:

Given:

Number of burritos make = 18

Total time taken = 8 min

Find:

Ratio time to the number of burritos

Computation:

Ratio time to the number of burritos = Total time taken / Number of burritos make

Ratio time to the number of burritos = 8 / 18

Ratio time to the number of burritos = 4 / 9

Ratio time to the number of burritos = 4:9

The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

To learn more about : angle

https://brainly.com/question/25770607

#SPJ8

Answer:45

Step-by-step explanation:

6*6+36 3*3=9 9+36=45

Answer: a

Step-by-step explanation:

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Adding 8 to the given equation we get:

Dividing the above equation by 4 we get:

Answer:

Answer and Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the future value of the investment

P = the initial principal ($8,000.00 in this case)

r = the annual interest rate (10% in this case)

n = the number of times the interest is compounded per year (since interest is compounded quarterly, n = 4)

t = the number of years (17 - 3 = 14 years in this case)

We want to find the future value of the investment on Courtney's 17th birthday, so t = 14 years. Substituting the values into the formula:

A = $8,000.00(1 + 0.10/4)^(4*14)

A = $8,000.00(1.025)^56

Using a calculator:

A ≈ $44,322.42

Therefore, the certificate will be worth approximately $44,322.42 on Courtney's 17th birthday, assuming a 10% annual interest rate compounded quarterly.

The certificate will be worth $23,683.96 on Courtney's 17th birthday.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + r/n)^{nt}\)

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

To find the value of the certificate on Courtney's 17th birthday, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{nt}\)

where:

A = the amount at the end of the investment period

P = the principal investment amount

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case,

The principal (P) is $8,000.

The annual interest rate (r) is 10%, or 0.1 as a decimal.

The interest is compounded quarterly, so n = 4.

The investment period is 14 years, so t = 14.

Plugging these values into the formula, we get:

A = 8000(1 + 0.1/4)^(4 x 14)

A = 8000(1 + 0.025)^56

A = 8000(1.025)^56

A = 8000(2.960496)

A = $23,683.96

Therefore,

The certificate will be worth $23,683.96 on Courtney's 17th birthday.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ2

The position vector of point P, MP, is given by MP = 6i - j.

To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.

The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Let's find the position vector of point P using the given information:

Point N: N = 4i - 5j

Point O: O = 8i + 3j

Using the midpoint formula, we can find the coordinates of point P:

x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i

y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j

Therefore, the position vector of point P, MP, is given by:

MP = 6i - j

for such more question on vector

https://brainly.com/question/17157624

#SPJ8

Answer:

x=6

Step-by-step explanation:

By fraction method, 55/16 pounds of rice Belle purchased.

In math, what is a fraction?

Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                 Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

  = 2 3/4 * 5/4

   = 5/4 * 2 + 5/4 *  3/4

   = 5/2 + 5/4 * 3/4

  = 5/2 + 15/ 4 * 4

  = 5/2 + 15/16

  common denominator and write the numerators above common denominator   =   5 *8/16 + 15/16

         = 40/16 + 15/16

         = 40 + 15/16

          = 55/16

Learn more about fraction

brainly.com/question/1301963

#SPJ1

Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

Learn more about complex number here:

https://brainly.com/question/5564133

#SPJ1

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

for more such questions on lengths

https://brainly.com/question/28322552

#SPJ8

The original amount of the sale is $165

The given parameters are:

Bill after discount = $140

Discount = 15%

The original amount of the sale is calculated as:

Bill after discount = original amount * (1 - Discount)

So, we have:

140 = original amount * (1 - 15%)

This gives:

140 = original amount * 0.85

Divide by 0.85

Original amount = 165

Hence, the original amount of the sale is $165

Read more about discounts at:

https://brainly.com/question/7459025

#SPJ1

Answer:

4a + 2b + 5

Step-by-step explanation:

4a−1+2b+6

=4a+−1+2b+6

Combine Like Terms:

=4a+−1+2b+6

=(4a)+(2b)+(−1+6)

=4a+2b+5