Number of sheets: 55 A) 10-1 What is the ratio of the total height in millimeters of 2 mm thick paper to the total height in millimeters of 23 mm thick papers? Number of papers: 56 B) 10-2 C) 10-3​

Answer:

15

Step-by-step explanation:

To find the tax multiply the cost of the item by 6%

250 * 6%

Change to decimal form

250 *.06

15

Answer:

15

Step-by-step explanation:

convert the percentage to a decimal

6/100 = 0.06

then times by the number you given

6% x 250

Answer:

Step 1

Step-by-step explanation:

Yessenia should have distributed 3 to (x+4) as her first step.

her steps should have been as follows:

x+6+3(x+4)

x+6+3x+12

re write: x+3x+6+12

4x+18

Answer:

C.) In perfect health.

Step-by-step explanation:

Given an average weight of 15kg and a standard deviation of 3kg for children of 4 years. Since the weight is based on a normal Z - distribution of 95% which is mean ± 2(standard deviations)

Mean weight interval is :

15 - 2(3) ; 15 + 2(3)

(9 ; 21) ; this weight interval could be interpreted to mean the normal or perfect weight value.

Therefore, given that the child weighs 12kg

Since, 12 kg falls within in the interval, we can conclude that the child is in perfect health.

Answer:

25

Step-by-step explanation:

a2+b2=c2

3^2+4^2=c^2

9+16=25

25^2=625

Sqrt of 625 = 25

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 4² + 3² = 16 + 9 = 25 ( take the square root of both sides )

x = \(\sqrt{25}\) = 5

The value of side EA is,

EA = 16.9

We have to given that;

Circle E with diameter CD and radius EA.

And, AB is tangent to E at A.

Here, AB = 34 and EB = 38

Hence, By using Pythagoras theorem we get;

AB² + AE² = EB²

34² + AE² = 38²

1156 + AE² = 1444

AE² = 1444 - 1156

AE² = 288

AE = √288

AE = 16.9

Thus, The value of side EA is,

EA = 16.9

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Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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Answer:

9/25

Step-by-step explanation:

36% = 36/100 = 18/50 = 9/25

Answer:

0.36 is the lowest term and what 36% becomes, simplified.

Step-by-step explanation:

The area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.

To find the area of the circle circumscribed about a right triangle, we can use the fact that the diameter of the circle is equal to the hypotenuse of the right triangle. In this case, the legs of the right triangle are given as 6 and 8.

Using the Pythagorean theorem, we can find the length of the hypotenuse:

\(c^2 = a^2 + b^2\)

where c is the length of the hypotenuse, and a and b are the lengths of the legs.

Substituting the values:

\(c^2 = 6^2 + 8^2\)

\(c^2 = 36 + 64\\ c^2 = 100\)

Taking the square root of both sides:

\(c = \sqrt{100} \\ c = 10\)

Therefore, the length of the hypotenuse is 10 units.

Since the diameter of the circumscribed circle is equal to the hypotenuse, the radius of the circle is half the length of the hypotenuse, which is 10/2 = 5 units.

Now we can calculate the area of the circle using the formula:

Area = π \(r^2\)

where r is the radius of the circle.

Area = π \(5^2\)

Area = π × 25

Area = 78.54 square units

Hence, the area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.

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Answer:

B. 378

Step-by-step explanation:

hope this helps

Answer:

The length of AC is 10 units

Step-by-step explanation:

In the given circle O

∵ AOCB is a rectangle

∵ OB and AC are the diagonals of the rectangle AOCB

∵ Diagonals of the rectangle are equal in lengths

→ That means OB and AC are equal in lengths

∴ OB = AC

∵ O is the center of the circle

∵ B is a point on the circle

∴ OB is a radius of the circle O

∵ The radius of the circle is 10 units

∴ OB = 10 units

∵ OB = AC

∴ AC = 10 units

∴ The length of AC is 10 units

factors such as lower material prices, more efficient use of resources, or unforeseen circumstances that reduced the overall cost of the job.  the actual cost is lower than the estimated cost by approximately 15%.

A 15% difference may seem significant, but it is not uncommon for actual costs to deviate from estimates, especially in complex projects where many variables can influence the final outcome.

The estimated cost is $1200, and the actual cost is $1020.

To find the percentage by which the actual cost is lower than the estimated cost, we need to calculate the difference between the two costs and express it as a percentage of the estimated cost:

Actual cost reduction = Estimated cost - Actual cost =  \(1200 - $1020 = $180\)

Percentage reduction = (Actual cost reduction / Estimated cost) x 100% =

\(($180 / $1200) \times 100% \times 15%\)

Therefore, the actual cost is lower than the estimated cost by approximately 15%.

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Answer:

\(Volume = 2000\ in^3\)

Step-by-step explanation:

Given

Dimension: 10in by 20in by 10in

Required

Determine the capacity of the aquarium

This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.

\(Volume = Length * Width * Height\)

Substitute values for the dimensions

\(Volume = 10 * 20 * 10\)

\(Volume = 2000\ in^3\)

Hence, the volume of the aquarium is 2000 cubic inches

Answer:

there are 5 pigs and 5 chickens

Step-by-step explanation:

Im not sure if this is the answer but 5 pigs each pig has 4 legs 5x4=20 and the 5 chickens have 2 legs 2x5+10 10+20+=30

Answer:

x=−3±√5

Decimal Form:

x=−0.76393202…,−5.23606797

So D would be your answer

Step-by-step explanation:

The probability of each outcome can be calculated using basic probability formulas, such as the multiplication rule and the addition rule is 1/2

Probability is the branch of mathematics that deals with the likelihood of events occurring. In this scenario, we are looking at the probability of a concrete beam failing by shear or flexure.

When three failed beams are randomly selected, the type of failure is determined for each one. We want to find the probability of each possible outcome, where X represents the number of beams among the three selected that failed by shear.

To list the outcomes in the sample space, we can use the following notation: S for shear failure and F for flexure failure. The possible outcomes are:

SSS, where all three beams failed by shear. In this case, X = 3.

SSF, where two beams failed by shear and one by flexure. In this case, X = 2.

SFS, where two beams failed by shear and one by flexure. In this case, X = 2.

FSS, where two beams failed by shear and one by flexure. In this case, X = 2.

SFF, where one beam failed by shear and two by flexure. In this case, X = 1.

FSF, where one beam failed by shear and two by flexure. In this case, X = 1.

FFS, where one beam failed by shear and two by flexure. In this case, X = 1.

FFF, where all three beams failed by flexure. In this case, X = 0.

Each outcome has a different value of X, which represents the number of beams that failed by shear.

Then the probability is calculated as,

=> 1/2

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Answer:

the answer for 2 examples is in the picture

The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

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Answer:

n = -13

Step-by-step explanation:

You were doing everything correct but one minor error

-13 - n = 0

you added 13 to both sides which is correct

-13 - n = 0

+13        +13

than you got, n = 13

but you forgot to bring diwn the negative sign with the n

-13 - n = 0

+13        +13

- n = 13 which is basically

-1n = 13

divided both sides by -1 to get n positive

-1n/-1 = 13/-1

Simplified, n = -13

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Answer:

$50

Step-by-step explanation:

Multiply 5 (the value of the bill) times 10 (the number of bills) and get $50. :)

Students were asked to simplify the expression using trigonometric identities:

 A.  student A is correct; student B was confused by the division

 B.  3: cos²(θ)/(sin(θ)csc(θ)); 4: cos²(θ)

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

There are several distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.

The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names.

Each student correctly made use of the trigonometric identities

cosec(θ) = 1/sin(θ)

1 -sin²(θ) = cos²(θ)

A.

Student A's work is correct.

Student B apparently got confused by the two denominators in Step 2, and incorrectly replaced them with their quotient instead of their product.

The transition from Step 2 can look like:

\(\frac{(\frac{1-sin^2\theta}{sin\theta} )}{cosec\theta} =\frac{1-sin^2\theta}{sin\theta} .\frac{1}{cosec\theta} =\frac{cos^2\theta}{(sin\theta)(cosec\theta)}\)

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Complete question:

Students were asked to simplify the expression the quantity cosecant theta minus sine theta end quantity over cosecant period Two students' work is given. (In image below)

Part A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused. (5 points)

Part B: Complete the student's solution correctly, beginning with the location of the error. (5 points)

The value of diameter and radius of circle is 7 cm and 3.5cm.

According to the statement

we have given that the a figure of circle and we have to find the radius and the diameter of the circle.

So, We know that the

The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.

Here from the figure it is clear that the

Diameter of circle = 7cm

and the radius of circle we have to find

So,

Radius of circle = Diameter /2

Substitute the values in it then

Radius of circle = 7cm /2

Radius of circle = 3.5 cm.

So, The value of diameter and radius of circle is 7 cm and 3.5cm.

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8x + 1 = 7

y - x = 1

y = 1 + x

sub 1 + x in eqtn i

8x + 1 = 7 { 1 + x }

8x + 1 = 7 + 7x

8x - 7 = 7 - 1

x = 6

y - 6 = 1

y = 1 + 6

y = 7

So,

8x = 8 x 6 = 48

7y = 7 x 7 = 49

My present years is 48

Next year i will be 49

Multiple can be defined as a number that is the product of a given number and some other natural number. For example when we multiply 7 × 3=21 or 8×3 =24

Therefore my present age is 48 and next year will be 49

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Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

14: quantitative continuous

16: quantitative discrete

Step-by-step explanation:

Distance can be any non-negative real number, hence it is continuous.

The number of packages has to be a positive integer, hence is discrete.

Answer:

the tip was $15.88

Step-by-step explanation:

Answer:

79.40*.2 = $15.88

Step-by-step explanation:

The equation that models the information when Matthew makes brackets and necklaces will be 34b + 114n

It should be noted that from the information, we are told that Matthew makes brackets and necklaces he uses 34 beads for each bracket and 72 beads for each necklace he makes 2 more necklaces let b represent the brackets and n represent the necklace.

The equation that can be used to represent the situation will be:

= (34 × b) + (34 × 2 × n) + (72 - 34 × n)

= 34b + 68n + 38n

= 34b + 114n

Complete question:

Matthew makes brackets and necklaces he uses 34 beads for each bracket and 72 beads for each necklace he makes 2 more necklaces let b represent the brackets and n represent the necklace. Write the equation that represents the information.

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