work out and simplify where possible 7/8 - 1/4

Answer:

102.375

Step-by-step explanation:

hope it helps :)

multiply 6.5 x 2.25, get 14.625

multiply 14.625 x 7, answer is 102.375

The best representation of the number of tiles that will be needed to cover the Floor is 80 tiles.

The number of tiles needed to cover the floor, we can calculate the total area of the floor and divide it by the area of each tile.

The area of the floor is given by the product of its length and width: 15 feet * 12 feet = 180 square feet.

The area of each tile is given by the product of its length and width: 1.5 feet * 1.5 feet = 2.25 square feet.

To find the number of tiles needed, we divide the total area of the floor by the area of each tile:

Number of tiles = (Total area of the floor) / (Area of each tile) = 180 square feet / 2.25 square feet = 80 tiles.

therefore, the best representation of the number of tiles that will be needed to cover the floor is 80 tiles.

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Step-by-step explanation:

equivalent ratio in simplest terms:

80 : 18

40 : 9

The main difference between the random walk of a gas molecule and that of a protein molecule in water is that the gas molecule will have a lower random walk.

When there is a high frequency of molecules, as is the case in a liquid, there will be more random walks because molecules will keep bumping into each other. In gas however, the random walk will be less because molecules are more spaced out.

In conclusion, the gas molecule will have less random walk.

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(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

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The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

Diagnostic

Step-by-step explanation:

The teacher made a diagnostic decision relative to Roberts skill level. Before she made this decision, she first started with the process of evaluation to know his strength and also establish his weakness. With the knowledge she has gotten she now plans to him with meaningful learning and an efficient curriculum that would help him in mastering multiplication first before division.

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer:

C) 3.03

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 50

The Mean of the population (μ) = 62

The standard deviation of the Population (σ) = 7

Mean of the sample(x⁻) = 65

Z-score

                 \(Z= \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }\)

Step(ii):-

               \(Z= \frac{65 -62}{\frac{7}{\sqrt{50} } }\)

              Z =  3.03

Final answer:-

The Z-score = 3.03

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

Step-by-step explanation:

At the end of the loan/investment, you can take the accumulated value and subtract that from the principle/PV to get the total interest

The total interest earned can be determined by subtracting the principal from the future value of the loan.

There are two types of interests : simple interest and compound interest.

Compound interest is a type of interest in which the principal and interest already accumulated also earn an interest. While for simple interest it is only the principal that earns interest.

For example, if a loan of $4000 earns 10% interest compounded yearly, the future value of the the amount in 5 years is:

$4000 x (1.1)^5 = 6442.04

The interest earned over the 5 years can be determined by subtracting the  cost of the loan from the future value of the investment

Interest = 6442.04 - $4000 = $2442.04

Another example, if a loan of $4000 earns 10% simple interest, the interest of the loan after 5 years is:

$4000 x 0.1 x 5 = $2000

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Answer:

14 cm

Step-by-step explanation:

The formula for circumference of a circle is 2πr, where r is the radius. In this problem, the circumference would be 2π * 7cm = 14 cm

Step-by-step explanation:

2^2 x 3 x 7

hope this helps. :))

Answer:

2*2*3*7

Step-by-step explanation:

84=2*2*3*7

thanks for.the points

Explanation:

The way you have marked the diagram, it is convenient to use the AAS congruence postulate.

Statement . . . . Reason

1. AB║DE, DC=CB . . . . given

2. ∠1≅∠2 . . . . vertical angles are congruent

3. ∠CAB≅∠CED . . . . alternate interior angles theorem

4. ΔACB ≅ ΔECD . . . . AAS congruence postulate

5. AC≅CE, AB≅DE . . . . CPCTC

The solution that can be used to fill in location A is 45%.

In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.

To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.

In this case, the concentration of 45% is closer to location A than the concentration of 20%.

This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.

Therefore, the solution that can be used to fill in location A is 45%.

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Answer: 3 were blue

Step-by-step explanation:

Blue  + Red  =   18....so.....

B  +  5B  =  18

6B  =  18

B   =18 /   6    =    3  blue

Step 1

Find the rate change at which the crickets are chirping.

Step 2

Find the function

Answer:

A=pq2 is the answer i think

Answer:

sin(x) = 2/√13

Step-by-step explanation:

In the first quadrant , all the trig identity (sin, cos and tan) are all positive.

Given tan(x) = 2/3

According to TOA, tan(x) = opposite/adjacent = 2/3

opposite = 2

adjacent = 3

Using pythagoras theorem to get the hypotenuse;

Hyp² = opp²+adj²

Hyp² = 2²+3²

Hyp² = 4+9

Hyp² = 13

Hyp = √13

According to SOH, sin(x) = opp/hyp

sin(x) = 2/√13

Answer:

4.42.

Step-by-step explanation:

3.4 multiplied by 1.3 equals 4.42

To multiply decimals, you can simply ignore the decimal points and multiply the numbers as if they were whole numbers. In this case, 34 multiplied by 13 equals 442. However, we need to account for the decimal places.

The first factor, 3.4, has one decimal place, so we need to move the decimal point in the product one place to the left, giving us 4.42. The second factor, 1.3, also has one decimal place, so we have a total of two decimal places in the product.

Therefore, 3.4 multiplied by 1.3 equals 4.42.

The measurement of angle DAO in the given rhombus  is 40°

A rhombus is a quadrilateral with both pairs of opposite sides parallel and all sides the same length, i.e., an equilateral parallelogram. The word rhombus is sometimes used instead of rhombus.

Given that, ABCD is a rhombus and ADC = 50°. we need to find DAO.

Please refer to the figure attached

We know that, the diagonals of the rhombus bisects at right angle,

Therefore,

AOD is a right-angled triangle.

We know that, the sum of the acute angles of a right-angled triangle is 90°

Therefore,

∠ ADC + ∠ DAO = 90°

∠ DAO = 90° - 50°

∠ DAO = 40°

Hence, the measurement of angle DAO in the given rhombus  is 40°

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Answer:

\(\huge\boxed{\sf D.}\)

Step-by-step explanation:

If

Y is directly proportional to x

Then

Y ∝ x

Changing proportionality to equality

Y = k x

If k = 1 , then

Y = x

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

Hope this helped!

Answer:

it's D

Step-by-step explanation:

Khan Academy

The circumference of the given circle is 41 cm

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The circumference of a circle is the boundary length of the circle, it is basically the perimeter of the circle, in degree measure it can not exceed by 360°

Given that, a circle, with diameter, 13 cm, we need to find it circumference.

We know that, the circumference of a circle is given by,

Circumference of the circle = π × diameter

= 3.14 × 13

= 40.82

≈ 41 cm

Hence, the circumference of the given circle is 41 cm

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Answer:

250

Step-by-step explanation:

Answer: D.42⁰

Ok done. Thank to me :>

Answer:

False

Step-by-step explanation:

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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