Which is a common denominator ofthese two fractions?3/4 and 2/3

Answer:

Gavin is incorrect. Divide 1/3 by 4, or multiply by 1/4. each friend gets 1/12 of the cake

Step-by-step explanation:

Answer:

C is correct

Step-by-step explanation:

4-4x+2x=-3x-3

3x-2x = -3-4

x=-7

Answer:

The sample size is    \(n = 600 \)

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 4% = 0.04

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Since the sample proportion (point estimate of the population proportion was not give we will assume it to be  )

       \(\^ p = 0.5\)

Generally the sample size is mathematically represented as  

    \(n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) \)

=>  \(n = [\frac{1.96}{0.04} ]^2 * 0.5 (1 - 0.5 ) \)

=>  \(n = 600 \)

Answer:

H= -35/4

Decimal form: -8.75

Explanation:

θ = 5π/6 is the polar equivalent to the equation y= -√3x.

To determine the polar equivalent of the equation y = -√3x, we need to convert it from rectangular coordinates (x, y) to polar coordinates (r, θ).

In polar coordinates, r represents the distance from the origin to the point, and θ represents the angle from the positive x-axis to the point.

To convert the equation, we need to substitute x and y in terms of r and θ. We can rewrite the given equation as:

r sin(θ) = -√3 r cos(θ)

Simplifying, we can divide both sides by r:

sin(θ) = -√3 cos(θ)

Using trigonometric identities, we can rewrite this equation as:

tan(θ) = -√3

Now, we need to find the value of θ that satisfies this equation.

The value of θ that satisfies tan(θ) = -√3 is θ = 5π/6 or 150 degrees.

Therefore, the polar equivalent of the equation y = -√3x is:

θ = 5π/6 (or 150 degrees)

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Answer:

\(\theta =\dfrac{2\pi }{3}\)

Step-by-step explanation:

The polar equivalent refers to the representation of a mathematical equation, point, or shape in polar coordinates (r, θ) instead of Cartesian coordinates (x, y).

In Cartesian coordinates, the relationship between a point (x, y) and its polar coordinates (r, θ) can be described by the following equations:

\(\boxed{\begin{aligned}x &= r \cos \theta\\y &= r \sin \theta\end{aligned}}\)

where:

By substituting these expressions into the equation \(y = -\sqrt{3}x\), we get:

\(r \sin \theta=-\sqrt{3} \:r\cos \theta\)

Divide both sides of the equation by r:

\(\dfrac{r \sin \theta}{r}=\dfrac{-\sqrt{3} \:r\cos \theta}{r}\)

\(\sin \theta=-\sqrt{3} \cos \theta\)

Divide both sides of the equation by cos θ, and apply the trigonometric identity tan θ  = sin θ / cos θ:

\(\dfrac{\sin \theta}{\cos \theta}=\dfrac{-\sqrt{3} \cos \theta}{\cos \theta}\)

\(\tan \theta =-\sqrt{3}\)

Solve for θ:

\(\theta =\tan^{-1}\left(-\sqrt{3}\right)\)

\(\theta =\dfrac{2\pi }{3}+\pi n\)

Therefore, the polar equivalent to the equation \(y = -\sqrt{3}x\) is:

\(\boxed{\theta =\dfrac{2\pi }{3}}\)

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Answer:

c

Step-by-step explanation:

100% sure and correct :) ❤️

Given the equation: 4x - 3= 13

We are required to solve for X

First add 3 to both sides:

Now divide both sides by 4

The value of X is 4

X = 4

Answer:

5+x2

Step-by-step explanation:

Answer:

5 + 2x

Step-by-step explanation:

Sum means your adding so it would be 5 + any given number which you can call x times by 2. Which is 5 + 2x

Answer:

Top left

Step-by-step explanation:

It’s the only one with a data point very far from the rest

Answer:

its diff for all of is but it deff right

Step-by-step explanation:

k12 right

Answer:

D. 13 1/2

Step-by-step explanation:

Answer: d

Step-by-step explanation:

1/6

1) Since Tia spins spinner A once, and spins B once too, and each spinner has 4 sectors. Then we can write out:

2) The probability of getting green is the result of blue + yellow:

Note that the spinner B the yellow part is half of the spinner area. And the blue sector is equivalent to 1/6 if we trace two line on the second spinner.

Since the question is one or the other, then we can add both probabilities:

Hence, the answer is the probability of Tia getting green is 1/6

Answer:

Step-by-step explanation:

Answer: Interval notation: (−∞, 3) ( − ∞, 3) Any real number less than 3 in the shaded region on the number line will satisfy at least one of the two given inequalities. Example 4: Graph and give the interval notation equivalent: x<3 or x≥−1. x < 3 or x ≥ − 1. .

The statement in the mathematical form will be x ≤ 3. Then the inequality in the interval notation will be [3, ∞).

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

x is less than or equal to 3.

Convert the statement into a mathematical inequality. Then we have

x ≤ 3

The statement "x is less than or equal to 3" in the mathematical form will be x ≤ 3.

Thus, the inequality in the interval notation will be [3, ∞).

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Kidney $1.18 per 500g

Lima. $ 2.13. Per 2 lbs= 1000g

Then

Kidney = 1.18 x 1 lb

Lima = 2.13/2= 1.065 x 1 lb

So ANSWER IS :Better deal Is LIMA BEANS

Part 7b

UNIT PRICE for better deal is

LIMA BEANS , At $1.065 per lb

The addition of the given fraction expression is 7/8.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.

When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.

In this case, both fractions have a denominator of 8, so we can add their numerators:

5/8 + 2/8 = (5 + 2)/8 = 7/8

Thus, the sum of 5/8 and 2/8 is 7/8.

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Answer: 1/24

Step-by-step explanation:

We have that 1/6 of the total field is reserved for the fifth-grade classes.

We have 4 fifth-grade classees.

Then each one of those 4 classes, has (1/4) of the reserved space.

This is:

space for each fifth-grade class = (1/4)*(1/6) = 1/24

So each fifth-grade class has a 1/24 of the total field.

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

Answer:

6:4:9 Yw❤️

Step-by-step explanation:

Answer:

4(x+8) + 5(x-3)

= 4x + 32 + 5x - 15

= 9x + 17

Answer:

9x+17

Step-by-step explanation:

HOpe It HelPs!!!!!

Also download photo math bc it help with stuff like this!!!!

Steps to solve:

8 / -2 * 42 + 9

~Divide

-4 * 42 + 9

~Multiply

-168 + 9

~Add

177

Best of Luck!

The simplified expression is equivalent to -159.

Given is an expression 8 ÷ -2 · 42 + 9, we need to simplify it,

To evaluate the expression 8 ÷ -2 · 42 + 9, we need to follow the order of operations, which is typically remembered using the acronym PEMDAS.

In this case, we should first perform the multiplication and division, and then the addition.

Starting with the multiplication and division:

8 ÷ -2 = -4

-4 · 42 = -168

Now we can add the result to 9:

-168 + 9 = -159

Therefore, the evaluation of 8 ÷ -2 · 42 + 9 is -159.

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Step-by-step explanation:

In Figure 5.9 below

ABCD is a parallelogram

with m(∠ABC) = 43o

CD

. A

line through A meets

at E and m(∠AED) = 68o

a. m(∠ADE)

.

Find

b. m(∠ DAE)

c. m(∠BCD)

The length of DE is 4√2, the correct option is B.

An Isosceles triangle is a triangle whose two sides are equal in length, and so two angles are also equal in measure.

DEF is a right angled triangle has two angles as 45 degree,

The triangle is therefore an Isosceles Triangle as the two angles are equal, so the side lengths corresponding to it will be equal,

The hypotenuse DF = 8

The length of DE can be determined by Pythagoras Theorem.

Let the side length be x units then,

8² = x² + x²

64 = 2x²

32 = x

x = 4√2

DE = 4√2

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Answer:

x to the 8/15 power. When you have a power raised to another power, you multiply the exponents.

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf r = 5}\)

Step-by-step explanation:

Given that,

7q + 35 = 7q + 7r

7q - 7q + 35 = 7q - 7q + 7r

35 = 7r

35/7 = r

5 = r

OR

\(\rule[225]{225}{2}\)

Answer:

r = 5

Step-by-step explanation:

Given statement,

→ 7(q + 5) is equivalent to (q + r)7.

Forming the equation,

→ 7(q + 5) = 7(q + r)

Now we have to,

→ Find the required value of r.

Then the value of r will be,

→ 7(q + 5) = 7(q + r)

Applying Distributive property:

→ 7(q) + 7(5) = 7(q) + 7(r)

→ 7q + 35 = 7q + 7r

Cancelling 7q from both sides:

→ 35 = 7r

→ 7r = 35

Dividing the RHS with number 7:

→ r = 35/7

→ [ r = 5 ]

Therefore, the value of r is 5.

Example 1 can be proven congruent using the side-side-side congruence theorem, Example 2 can be proven congruent using the angle-side-angle congruence theorem, and Example 3 cannot be proven congruent with any of the congruence theorems.

The Side-Side-Side Triangle Congruence Theorem (SSS) states if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent. This means that all corresponding angles and sides of the two triangles are equal in measure. The Angle-Side-Angle Triangle Congruence Theorem (ASA) states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent. This means that the third angle and the other two sides of the two triangles are equal in measure. Example 1 can be proven congruent using the Side-Side-Side Triangle Congruence Theorem because the three sides of the triangle are equal in measure. Example 2 can be proven congruent using the Angle-Side-Angle Triangle Congruence Theorem because two angles and the included side are equal in measure. Example 3 cannot be proven congruent with either of the congruence theorems because the sides and angles are not equal in measure.

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Answer:

291

Step-by-step explanation:

2*2*2=8*2=16

16+(11*5*5)=291

Answer:

291cm^3

Step-by-step explanation:

11×5×5=275cm^3

2×2×2=8cm^3

8cm^3 + 8cm^3= 16cm^3

275+16=291cm^3

Answer: answer 2

Step-by-step explanation:

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

A function is a relation that gives one input for every one output thus the value of g(10) is -31.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given function,

g(x) = -3x - 1

The value of the function at x = 10

g(10) = -3(10) - 1

g(10) = -30 - 1 = -31

Hence "A function is a relation that gives one input for every one output thus the value of g(10) is -31".

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