A 20-ounce soda cost $1.20. How much does the soda cost per ounce?​

Answer:

lifet

Step-by-step explanation:

The equation that could be used to represent the context if a represents the cost of labor per hour is a = 481/3.25.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given,  The technician at the store worked on the computer for 3.25 hours and charged him $78 for parts and the total was $484.25.

Therefore, The equation representing the context is,

3.25a + 78 = 484.25.

3.25a = 484.25 - 3.25.

3.25a = 481.

a = 481/3.25.

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Answer: 125

Step-by-step explanation:

Answer: 17/28

Step-by-step explanation: look at pic to see how solved :)

Brainliest please

Explanation:

We know that AB = CD and that ∠ABD = CBD because it is given information.

Then, we have that BD = BD because a side is congruent to itself. It is called the reflexive property of congruence.

Now, we can say that ΔABD = ΔBDC by SAS (Side - Angle - Side) because we have two congruent sides and the angle between them is also congruent

Finally, ∠A = ∠C because the corresponding sides of congruent triangles are congruent

Answer:

Therefore, the answer is

The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

Answer:

Step-by-step explanation:

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:

C = π(14 cm)

Multiplying, we get:

C = 14π cm

So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.

Answer:

6:60 = 1:10 (scale factor for length)

Let x be the new length.

1:10 = 3:x-3 (scale factor for width)

Solving for x, we get:

1/10 = 3/(x-3)

3x - 9 = 10

3x = 19

x = 6.33 inches (rounded to two decimal places)

Therefore, the new length would be 6.33 inches.

Answer:

3) -11

Step-by-step explanation:

f(-3)=5*(-3)+4

f(-3)=(-15)+4

f(-3)=-11

Given:

f(x) = 5x + 4

To Find:

f(-3)

Answer:

(3) -11

Step-by-step explanation:

Evaluate 5x + 4 where x = -3:

\( \longrightarrow \) 5(-3) + 4

5(-3) = -15:

\( \longrightarrow \) -15 + 4

4 - 15 = -11:

\( \longrightarrow \) -11

Step-by-step explanation:

log(79) = 1.897627091... ≈ 1.90

Answer: As a fraction: 1/2

              As a decimal: 0.005

Step-by-step explanation:

FRACTION:

To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.

DECIMAL:

0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

Step-by-step explanation:

\(\frac{sinA+cosA}{sinA-cosA} +\frac{sinA-cosA}{sinA+cosA} \\=\frac{(sinA+cosA)^2+(sinA-cosA)^2}{(sinA+cosA)(sinA-cosA)} \\=\frac{sin^2A+cos^2A+2sinAcosA+sin^2A+cos^2A-2sinAcosA}{sin^2A-cos^2A} \\=\frac{1+1}{-(cos^2A-sin^2A)} \\=\frac{2}{-cos2A} \\=-2sec(2A)\)

Step-by-step explanation:

Sure, I can help you with that problem!

To find the value of p, you have the equation:

(3/2)p = 7

To isolate p, you need to divide both sides of the equation by (3/2):

(3/2)p / (3/2) = 7 / (3/2)

Simplifying the right side:

7 / (3/2) = 7 x (2/3) = 14/3

So now you have:

p = 14/3 ÷ (3/2)

Dividing by a fraction is the same as multiplying by its reciprocal, so you can rewrite this as:

p = 14/3 x (2/3)

Simplifying:

p = 28/9

Therefore, the value of p is 28/9. Let me know if you have any other questions or if there's anything else I can help you with!

Given data:

The expression for the volume is V=(kT)/P.

The given expression can be written as,

Substitute the given values in the above expression.

Thus, the final pressure is 17.619 kg/cm^2.

Answer:

3

Step-by-step explanation:

Please Mark me brainliest

Answer:

aren't one of the numbers in the equations supposed to be negative?

Answer:

In order to find \(\sqrt{112}\), begin by finding a multiplicand and multiplier to find the product of 112. 7 and 16 are two numbers that are multiplied to get 112. The first two boxes should be \(\sqrt{7}\) and \(\sqrt{16}\). From looking at the numbers, 16 can be squared to 4. So, the next boxes that appear should be 4 and \(\sqrt{7}\) . Your answer should be 4\(\sqrt{7}\).

Answer:

\(\sf 22\dfrac{1}{2}\; years\)

Step-by-step explanation:

\(\textsf{First convert all mixed fractions to improper fractions: }\\\\3\dfrac{2}{3} = \dfrac{3 \times 3 + 2}{3}= \dfrac{11}{3}\\\\18\dfrac{5}{6 } = \dfrac{18 \times 6 + 5}{6} = \dfrac{113}{6}\)

Let Carlo's age be C

Carlo's age = sister's age + 11/3

\(\sf == > C = \dfrac{113}{6} +\dfrac {11}{3}\\\\\textsf{Multiply both sides by 6 to eliminate the denominator}\\\\\sf 6C = 6\cdot\dfrac{113}{6} + 6\cdot\dfrac {11}{3}\\\\\)

\(\sf == > C = \dfrac{113}{6} +\dfrac {11}{3}\\\\\textsf{Multiply both sides by 6 to eliminate the denominator}\\\\\sf 6C = 6\cdot\dfrac{113}{6} + 6\cdot\dfrac {11}{3}\\\\\sf 6C = 113 + 22 = 135\\\)

\(\textsf {Divide both sides by 6}\\\\\sf C = \dfrac{135}{6} \\\\\textsf {Reduce $\dfrac{135}{6}$ by dividing numerator and denominator by 3}\\\\== > C = \dfrac{135 \div 3}{6\div3} = \dfrac{45}{2}\)

\(\textsf{So Carlo's age is $\dfrac{45}{2}$ or $22\dfrac{1}{2}$ years}\)

Solution

- The solution steps are given below:

Final Answer

The answer is 2

Answer:

a. The present value of these receivables is $42,123.64

b. The total value at the end of 10 years is $69,257.02

c. The present value of these payments is $10,059.37

Step-by-step explanation:

Answer:

Step-by-step explanation:

distance  = velocity x time

                = 20 cm/sec x  1m/100cm x 60 sec/min x 2 min

                = 24 meters.

Answer:

12,000

Step-by-step explanation:

i believe this would be what she withdrew but if not i'm sorry for giving the wrong answer

The number of complex zeroes that the polynomial has in the graph is 1.

Given a graph of a polynomial.

We have to find the complex zeroes of the polynomial.

Complex zeroes of a polynomial are the zeroes of the polynomial which are complex numbers.

The zeroes of a polynomial functions are the x intercepts of the graph of the function.

x intercepts are the points which touches the X axis.

Here the graph touches the X axis at x = -4, x = -2, x = 1 and x = 4.

So there are 4 real roots.

The degree of the polynomial is the number of times that the direction of the graph changes.

Here degree = 5

Number of real roots = 4

Number of imaginary roots = 1

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The tables which shows a proportional relationship between x and y are table 3 and table 4.

Using ratio to find the proportional relationship

Table 1

x : y = 8 : 8

= 1 : 1

x : y = 12 : 10

= 6 : 5

Not proportional

Table 2:

x : y = 2 : 3

x : y = 3 : 8

Not proportional

Table 3:

x : y = 5 : 3

x : y = 10 : 6

= 5 : 3

Proportional

Table 4:

x : y = 4 : 1

x : y = 16 : 4

= 4 : 1

Proportional

Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.

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