17. Find the quotient and remainder of 827 divided by 4

Answer:

b=1/2

Step-by-step explanation:

2logb - 3logb = log8b - log4b

log\(b^{2}\) - log\(b^{3}\) = log8b - log4b

log(\(\frac{1}{b}\)) = log(2)

∴1/b = 2

∴b = 1/2

Answer:

Percent error = 25%

Step-by-step explanation:

Find:

Percent error

Given:

Weight of egg = 2 oz

Original value = 2.5 oz

Computation:

Percent error = [(Original value - Weight of egg) /  Weight of egg]100

Percent error = [(2.5 - 2) / 2]100

Percent error = 25%

Answer:

x = -1

y = 1

Step-by-step explanation:

y = 3x+4

y = -2x-1

-2x-1 = 3x+4

-5x - 1 = 4

-5x = 5

x = -1

Substitute this x value into 1 of the equations given in the problem:

y = 3(-1)+4

y = -3+4

y = 1

Answer: the answer to x= -1 and y= 1

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

free 25

Step-by-step explanation:

Answer:A= 75

B-150

C-225

D-300

Step-by-step explanation:. Y=15x, so you would take the x axis numbers and times it by 15, and then your answer will be there.

Answer:

order from top to bottom 75  150  225  300

Step-by-step explanation:

The percent of black percent is 56%.

A percent is a number or ratio expressed as a fraction of 100.

Percent can be calculated by dividing the value by the total value, and then multiplying the result by 100.

According to the given question.

Total number of pens = 25

Total number of black pens  = 14

Therefore,

the percent of black pens  = \(\frac{number\ of \ black \ pens}{total\ number\ of\ pens} \times 100\)

⇒ percent of black pens = \(\frac{14}{25} \times 100 = 56\%\)

Hence, the percent of black percent is 56%.

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Answer:

The question is asking you to subtract 516 from 1,000 to find b.

\(1,000 - 516 = 484\)

Therefore, b = 484

Answer:

3384 Miles in 6 hours

Step-by-step explanation:

94 x 6 would equal how many miles the airplane covers in 1 hour.

1 hour equals 564 miles.

564 x 6 equals 3384 miles in 6 hours

Answer:

1/16 D

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

Multiply top with top and bottom with bottom

1/8 * 3/6 = (1*3)/(8*6) = 3/48

3 goes into 48

16 times

The answer is 1/16

The correct answer is 1/16 even though 3/48 is also correct. The question directions you to simplify.

The greatest common divisor of 5! and 7! is 840.

To find the greatest common divisor (GCD) of 5! and 7!, we need to calculate the prime factorization of both numbers.

First, let's calculate the prime factorization of 5!:

5! = 5 * 4 * 3 * 2 * 1 = 120.

The prime factorization of 120 is 2^3 * 3 * 5.

Now, let's calculate the prime factorization of 7!:

7! = 7 * 6 * 5! = 7 * 6 * 120 = 5040.

The prime factorization of 5040 is 2^4 * 3^2 * 5 * 7.

To find the GCD of 5! and 7!, we need to find the common factors in their prime factorizations. We take the smallest exponent for each prime factor that appears in both factorizations.

From the prime factorizations above, we can see that the common factors are 2^3, 3, 5, and 7. Multiplying these factors together gives us:

GCD(5!, 7!) = 2^3 * 3 * 5 * 7 = 8 * 3 * 5 * 7 = 840.

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The equation to model the given work is 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.

The teams will share 5.4 liters of olive oil. To find out how much each team will receive, we can divide the total amount of olive oil by the number of teams:

5.4 liters ÷ 10 teams = 0.54 liters per team

However, it's usually more convenient to express this in grams for equation, so we need to convert liters to grams.

The conversion factor for olive oil is approximately 0.92 grams per milliliter (or 920 grams per liter). So, we can multiply 0.54 liters per team by 920 grams per liter to get:

0.54 liters per team × 920 grams per liter = 497.28 grams per team

Therefore, each team will receive 497.28 grams of olive oil as per the work.

Equation: 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.

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Answer:

100

Step-by-step explanation:

because if you add it all up you will find the sum

Answer:

y = 10.5x - 8.25

Step-by-step explanation:

m = (44.25 - 12.75)/(5 - 2) = 10.5

y = mx + b

y = 10.5x + b

12.75 = 10.5 × 2 + b

b = -8.25

y = 10.5x - 8.25

The measure of UV is 0.9

Similar triangles are triangles that have the same shape, but their sizes may be different. The ratio of the corresponding sides of similar triangles is equal.

For similar triangle to have thesame shape, this means that they will have thesame angles but different sides.

Therefore , 1.8/10 = UV/5

1.8 × 5 = 10UV

9 = 10UV

divide both sides by 9

UV = 9/10

UV = 0.9

therefore the measure of UV is 0.9

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The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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Answer:

\(\large \boxed{\sf \ \ \dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)} \ \ }\)

Step-by-step explanation:

Hello,

This is a right triangle so the area is:

\(\dfrac{1}{2} \left\{ \sqrt{x_2^2+y_2^2} \cdot \sqrt{x_1^2+y_1^2} \right\}\\\\=\dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

From the question, we have the following parameters that can be used in our computation:

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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According to the given data the value is 22.

Addition is a basic mathematical operation that involves combining two or more numbers to get a total or sum. It is typically denoted by the symbol "+" and can be performed on a variety of numerical values, including whole numbers, decimals, fractions, and even negative numbers.

The value of the addition for 2+4+8+8=22

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Answer:do you know what grade this is for?

Step-by-step explanation:

Answer:

70 minutes or 1\(\frac{1}{6}\)hours

Step-by-step explanation:

7/8 of an hour = 60(7/8) = 52.5

The train travels 3/4 of the distance in 52.5mins.

Find how long travelling 1/4 of the distance takes is by dividing by 3: 52.5/3=17.5

Find how long travelling 4/4 of the distance (the entire distance) takes by multiplying by 4: 17.5(4) = 70minutes

For a nonempty set of real numbers, A it is proved that inf A = -sup(-A)

Let A be a nonempty set of real numbers that is bounded below

suppose inf A = K

claim:- -sup (-A) = K where -A is the set of all numbers -x show that \($ x \in A$\)

To show that sec (-A) = -K

First, we show that -k is the upper bound of - A

Let \($-x \in-A$\) be any element \($\Rightarrow x \in A \ldots$\) (by definition of -A ).

But inf A = K

K is the lower bound of A

\(& \Rightarrow \quad k \leq x \quad \forall x \in A \\\)

Multiply by -1

\(& \Rightarrow-k \geqslant-x \quad \forall x \in A \\\)

\(& \Rightarrow-k \geqslant-x \quad \forall-x \in-A\)

Therefore -K is the upper bound of -A

suppose l is another upper bound of -A.

\(-x \leqslant l & \forall-x \in-A \\\)

Multiply by -1

\(x \geqslant-l && \quad $\forall \quad x \in A \\\)

\(\Rightarrow-k \geqslant-x \quad & \forall-x \in-A\)

Therefore -k is the upper bound of -A.

Suppose l is another upper bound of -A.

\(\Rightarrow-x \leq l \quad \forall-x \in-A\)

Multiply by -1

\($\Rightarrow \quad x \geqslant-1 \quad \forall x \in A$\)

-l is the lower bound of A

But k is the greatest lower bound of A

\(-l \leq k$\)

Multiply by -1

\($-l \geqslant-k$\).

-K is the least upper bound of A.

sup (-A) = -k

-sup (-A) = k

inf (A) = -sup (-A)

Hence proved.

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Answer:

Step-by-step explanation:

Answer:

  46°

Step-by-step explanation:

The central angle has twice the measure of the inscribed angle subtending the same arc. Hence ∠ABC = 2(∠ADC) = 2(23°) = 46°.

Answer: The length of the prism is 8 yards

Step-by-step explanation:

First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)

\( \mathrm{M \cap F ={ \{f} \}}\)

The intersection of set M and F is {f}.

What is intersection of sets?

For any two sets, the set that contains all of common items is known as the intersection of sets. The intersection of sets is represented by the symbol "∩". The intersection A ∩B (also written as A intersection B) lists all the elements that are shared by any two sets A and B that are present in both sets.

The elements in set M are a, c and f.

The elements in set F are f, g and j.

In both the sets the common element is only 1 which is f so, the intersection of both sets is {f}.

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The distance in miles between the two electric scooters travelling in opposite direction is 2 miles.

An equation is a formula that proves the equality of two mathematical expressions in algebra and is the most commonly used formula. For example, in the expression 3x + 5 = 14 the two terms 3x + 5 and 14 are separated by the "equals" symbol.

What is distance?

The length or width in between two objects, points, lines, etc. Distance is the condition or fact that something or someone is physically apart.

Given 4x - 4 = 2x,

so 2x = 4

x = 2

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