1. What is 7.11 divided by 1.5?

A. 47.4 B. 4.74 C. 4.75 D. 47.5

2. What is the quotient when you divide 0.6 by 0.2?

A. 0.4 B. 30 C. 4 D. 3

3. Find the quotient: 29.58 ÷ 3.4= n.

A. 0.87 B. 8.7 C. 87 D. 9.7

4. What is the result when you divide 11.52 by 1.92?

A. 6.3 B. 5.8 C. 6 D. 4.2

5. What is 128.43 divided by 85.62?

A. 15 B. 1.5 C. 16 D. 1.6

6. Find the quotient: 1,271.82 ÷ 10.34= n

A. 12.3 B. 12.4 C. 123 D. 124

7. Which of the following number sentence has a quotient of 80?

A. .24 ÷ 3=N C. .024 ÷ .003=N

B. .024 ÷ 0.3=N D. 2.4 ÷ .03=N

8. Which of the following equations answers to 4.74?

A. 71.1 ÷ 1.5=N C. 7.11 ÷ .15=N

B. 7.11÷ 1.5=N D. 71.1 ÷ .15=N

9. What is the quotient when you divide 800.7 by 31.4? _______

10. What is 320.04 divided by 12.6?____________​

Answer:

It would be D

Step-by-step explanation:

9514 1404 393

Answer:

  (1, 7)

Step-by-step explanation:

Fill in x=1 and do the arithmetic.

  h(1) = 4(1) +3 = 7

The coordinate pair is ...

  (x, h(x)) = (1, h(1)) = (1, 7)

The angle measures, in order from least to greatest, of the dilated image  45°,55° and 80°.

A dilation is a function f from a metric space M into itself that satisfies the identity d=rd for all points x, y \in M, where d is the distance from x to y and r is some positive real number. In Euclidean space, such a dilation is a similarity of the space.

Euclidean space, In geometry, a two- or three-dimensional space in which the axioms and postulates of Euclidean geometry apply; also, a space in any finite number of dimensions, in which points are designated by coordinates (one for each dimension) and the distance between two points is given by a distance formula.

Dilations preserve angle measures, regardless of the scale factor. Therefore, the angle measures of the image will be the same of that of the pre-image, so our answer is still 45 °, 55 °, and 80 °.

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Answer:45,55,80

Step-by-step explanation:  dilations preserve angles measures regardless of the scale factor. Therefore the angle measures of the image will be the same of that of the pre-image ,so our answer is still 4545,5555,8080 .

sample consists of 87 subjects, with 71 successes.the test statistic, rounded to 2 decimal places ,Test statistic = (71/87) = 0.81

To calculate the test statistic, you need to divide the number of successes by the total number of subjects in the sample.

In this case, the number of successes is 71 and the total number of subjects is 87.

Therefore, the test statistic is calculated a

s 71/87 = 0.81

which can be rounded to two decimal places. The result of the calculation is that the test statistic is 0.81.

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Answer:

2352

Step-by-step explanation:

You just multiply them

#10

Option A and B

#11

Option C

Answer:

   10. (2) x - 3

    11. (3) 5a

Step-by-step explanation:

Question 10

Question 11

Simplifying

Answer:

\(x=\dfrac{c-b}{a}\)

Step-by-step explanation:

The given formula is :

ax+b=c

We need to solve it for x.

Subtract b from both sides,

ax+b-b=c-b

ax = c-b

Dividing both sides by a.

\(x=\dfrac{c-b}{a}\)

So, the value of x is equal to \(\dfrac{c-b}{a}\).

Answer:

The 3rd one is correct

(7.5 + 3) x 6 - 4)

Answer:

Let x= the ones digit

Then x+5=the tens digit

Hence the equation is: 10(x+5)+x=x+5+x+63

10(x+5)+x=x+5+x+63

10x+50+x=2x+68

11x+50=2x+68

-2x-50  -2x-50

---------------------

       9x=18  Divide both sides of the equation by 9

         x=2

Hence the number is 10(2+5)+2=10(7)+2=70+2=72.

The answer to the question is 17/140 fraction.

A fraction is a numerical expression that represents a part of a whole or a ratio of two numbers. It consists of two parts: a numerator (the number on top) and a denominator (the number on the bottom). For example, 3/4 is a fraction that represents 3 parts out of 4. It can also represent the ratio of 3 to 4.

To move the fraction to each box, you would need to multiply the denominator of the first fraction (10) by the numerator of the second fraction (14). The result is 140. Then, you would add the numerator of the first fraction (3) to the numerator of the second fraction (14), giving you 17. The answer to the question is 17/140.

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The component form of vector a is approximately (-10.26, 25.86).

To find the component form of vector a, we need to use trigonometry.

The magnitude V of the vector a is given by the first component of the magnitude and direction form, which is V = 30.

The angle θ between the vector and the positive x-axis is given by the second component of the magnitude and direction form, which is 110°.

To find the x-component, we use the formula:

x = V cos(θ)

Substituting the values we get:

x = 30 cos(110°) ≈ -10.26

To find the y-component, we use the formula:

y = V sin(θ)

Substituting the values we get:

y = 30 sin(110°) ≈ 25.86.

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The graph of a certain geometric sequence can be described as a curve increasing from left to right. A sequence that would have a similar graph is the geometric sequence whose common ratio is less than 1.

A geometric sequence is defined as a sequence of numbers where each number is the product of the previous number and a fixed constant. The fixed constant is known as the common ratio, and it is denoted by r.The nth term of a geometric sequence is given by the formula an= ar^(n-1) where a is the first term and r is the common ratio of the sequence.

Similar graphIn a similar graph, the shape of the graph is the same, but the size may be different. Thus, the sequence that would have a similar graph to the given sequence is a geometric sequence whose common ratio is less than 1 because in such a sequence, the successive terms will be smaller than the previous term.This means that as we move from left to right, the values will gradually decrease in size, and the graph will look like a curve increasing from left to right.

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Answer:

8π + 12 in²

Step-by-step explanation:

Just add the areas of the semicircle and the triangle.

Answer:

Step-by-step explanation:

You had the first part of the first question correct. The answer is 100:64

The sides of the squares

Area of e = 69% more than area of area of f

e^2: f^2 = ( 1 + 69/100 ) / 1

e^2 : f^2 = (1.69)/1            Take the square root of both sides

e:f  = 1.3:1

Answer:

86

Step-by-step explanation:

Answer:

I mean i would think its 61, but i haven't done that in quite a while so-

Step-by-step explanation:

Answer:

\(Base = 57\)

Step-by-step explanation:

Given

\(Length = 2x + 4\)

\(Base = 3x\)

\(Perimeter = 141\)

Required

Determine the length of the base

The perimeter of an isosceles triangle is:

\(Perimeter = 2*Length + Base\)

\(141 = 2 (2x + 4) + 3x\)

\(141 = 4x + 8 + 3x\)

Collect Like Terms

\(4x + 3x = 141 - 8\)

\(7x = 133\)

Divide both sides by 7

\(x = 19\)

To get the base, we substitute 19 for x in \(Base = 3x\)

\(Base = 3 * 19\)

\(Base = 57\)

Answer:

10 ms-1

Step-by-step explanation:

to convert km /hr to m/s, multiply it by 5/18

By applying the Pythagorean theorem, the Law of Cosines, and the Law of Sines, we have successfully solved triangle ABC.

We found the measures of its angles:

A ≈ 23.58 degrees, B ≈ 27.63 degrees, and C ≈ 128.79 degrees.

To do this, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Let's apply this theorem to your triangle:

a² + b² = c²

Substituting the given values, we have:

5² + 8² = 12²

25 + 64 = 144

89 ≠ 144

Since 89 is not equal to 144, we can conclude that triangle ABC is not a right-angled triangle.

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. The formula is as follows:

c² = a² + b² - 2ab * cos(C)

In this formula, C represents the angle opposite side c.

Substituting the given values, we have:

12² = 5² + 8² - 2 * 5 * 8 * cos(C)

144 = 25 + 64 - 80 * cos(C)

144 = 89 - 80 * cos(C)

Rearranging the equation, we get:

80 * cos(C) = 89 - 144 80 * cos(C) = -55

Now, divide both sides of the equation by 80:

cos(C) = -55/80

Using a calculator, find the inverse cosine (cos^(-1)) of -55/80 to get the measure of angle C. Let's assume it is approximately 128.79 degrees.

The formula is as follows:

a/sin(A) = b/sin(B) = c/sin(C)

Substituting the given values, we have:

5/sin(A) = 8/sin(B) = 12/sin(128.79)

We can use this equation to find the measures of angles A and B. Cross-multiplying, we get:

sin(A) = 5 * sin(128.79) / 12 sin(B) = 8 * sin(128.79) / 12

Using a calculator, find the inverse sine (sin^(-1)) of the above expressions to get the measures of angles A and B. Let's assume they are approximately 23.58 degrees and 27.63 degrees, respectively.

Check the validity of the solution Finally, we need to check if the measures of angles A, B, and C add up to 180 degrees, as this is a property of triangles. Let's calculate the sum:

A + B + C = 23.58 + 27.63 + 128.79

A + B + C ≈ 180

Since the sum is approximately 180 degrees, we can conclude that our solution is valid.

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Complete Question:

How do you solve the triangle ABC given a = 5, b = 8, c = 12?

The measures of its angles: A ≈ 23.58 degrees, B ≈ 27.63 degrees, and C ≈ 128.79 degrees By applying the Pythagorean theorem, the Law of Cosines, and the Law of Sines, we have successfully solved triangle ABC.

To do this, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's apply this theorem to your triangle:

a² + b² = c²

Substituting the given values, we have:

5² + 8² = 12²

25 + 64 = 144

89 ≠ 144

Since 89 is not equal to 144, we can conclude that triangle ABC is not a right-angled triangle.

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. The formula is as follows:

c² = a² + b² - 2ab * cos(C)

In this formula, C represents the angle opposite side c.

Substituting the given values, we have:

12² = 5² + 8² - 2 * 5 * 8 * cos(C)

144 = 25 + 64 - 80 * cos(C)

144 = 89 - 80 * cos(C)

Rearranging the equation, we get:

80 * cos(C) = 89 - 144 80 * cos(C) = -55

Now, divide both sides of the equation by 80:

cos(C) = -55/80

Using a calculator, find the inverse cosine (cos^(-1)) of -55/80 to get the measure of angle C. Let's assume it is approximately 128.79 degrees.

The formula is as follows:

a/sin(A) = b/sin(B) = c/sin(C)

Substituting the given values, we have:

5/sin(A) = 8/sin(B) = 12/sin(128.79)

We can use this equation to find the measures of angles A and B. Cross-multiplying, we get:

sin(A) = 5 * sin(128.79) / 12 sin(B) = 8 * sin(128.79) / 12

Using a calculator, find the inverse sine (sin^(-1)) of the above expressions to get the measures of angles A and B. Let's assume they are approximately 23.58 degrees and 27.63 degrees, respectively.

Check the validity of the solution Finally, we need to check if the measures of angles A, B, and C add up to 180 degrees, as this is a property of triangles. Let's calculate the sum:

A + B + C = 23.58 + 27.63 + 128.79

A + B + C ≈ 180

Since the sum is approximately 180 degrees, we can conclude that our solution is valid.

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Answer:

if Mr. Kamau wants to give each of his children an equal amount of money, he can either:

Buy 1 item for his son (costing sh. 324) and 0 items for his daughter, giving each child sh. 162.

Buy 1 item for his son (costing sh. 324) and 1 item for his daughter (costing sh. 220), giving each child sh. 272.

Step-by-step explanation:

Let x be the number of daughter items that Mr. Kamau will buy for his daughter. Since the son's item costs sh. 324, we know that each child should receive sh. (324 + 220x)/2.

We want to find how many items each child will buy, so we need to solve for x in the equation:

(324 + 220x)/2 = 220

Multiplying both sides by 2, we get:

324 + 220x = 440

Subtracting 324 from both sides, we get:

220x = 116

Dividing both sides by 220, we get:

x = 0.527

Since we can't buy a fraction of an item, Mr. Kamau should buy either 0 or 1 daughter item for his daughter. If he buys 0 daughter items, he can give his son sh. (324 + 2200)/2 = sh. 162. If he buys 1 daughter item, he can give each child sh. (324 + 2201)/2 = sh. 272. Therefore, the possible scenarios are:

Mr. Kamau buys 0 daughter items. His son buys 1 item and his daughter buys 0 items.

Mr. Kamau buys 1 daughter item. His son buys 1 item and his daughter buys 1 item.

Answer:

Gain of 300rs

Step-by-step explanation:

Sohan bougth a second-hand refrigerator for 2500rs

500rs was spent on it repairs

= 2500+500

= 3,000rs

It was sold for 3,300rs

Therefore the gain can be calculated as follows

= 3,300-3,000

= 300rs

Hence the gain is 300rs

The value of "x" for which the line "l" is parallel to the line "m" is 31°.

The line "l" is parallel to the line "m". The top angle is 31°. The middle angle is 62°. We need to find the measure of angle "x".

We will extend the upper line to intersect the line "m". This will form a triangle. The lower left angle of the triangle is 31° using the property that the alternate interior angles are equal. The top angle of the triangle is found using the linear pair property. The top angle of the triangle is 180°–62° = 118°.

Now we will apply the angle sum property to the triangle. The sum of all the angles of a triangle is 180°.

31° + 118° + x° = 180°

149° + x° = 180°

x = 31°

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Answer:

The best buy is the 14-oz package at $0.37/oz.

Step-by-step explanation:

6​-ounce package costs ​$2.28:

$2.28 / 6 oz = $0.38/oz

14​-ounce package costs ​$5.18:

$5.18 / 14 = $0.37/oz

26​-ounce package costs ​$10.40:

$10.40 / 26 oz = $0.40/oz

Answer: The best buy is the 14-oz package at $0.37/oz.

Answer:

the 14-ounce package is the best deal because it is $0.37 per ounce, while the 6-ounce package is $0.38 per ounce, and the 26-ounce package is $0.40 per ounce.

Step-by-step explanation:

Answer:

g(-3) = -10

Step-by-step explanation:

All you have to do is plug -3 in for x!

g(-3) = 2(-3) - 4

g(-3) = -6 - 4

g(-3) = -10

Answer:

Step-by-step explanation:

14 by 21. 14 shorter length

The range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

If we are given a mapping that represents a relation, the input values (x-values) make up the domain of the relation while the output values (y-values) make up the range of the relation.

In the mapping shown in the diagram attached below, we have the following:

The domain of the relation is: {-1, 0, 1, 2, 3}

The range of the relation is: {3, 5, 11, 21}

Thus, we can conclude that, the range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

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Answer: 15, 18, 21 (next three terms), Rule: Skip counting by 3

First calculate the common difference between the terms, If \(a_{1}, a_{2}, a_{3}, a_{4}.....\) are in sequence, the common difference is calculated by \((a_{2} -a_{1}), (a_{3} -a_{2}), (a_{4} -a_{3}) .......\)

Since, the common difference are equal so its clear that the given sequence is an Arithmetic Expression.

The nth term of the AP is an  = a + (n-1)*d

1. Given: 3, 6, 9, 12, .....

  Answer: 15, 18, 21 (next three terms)

  Rule: Skip counting by 3

2. Given: 3, 5, 7, 9, .....

  Answer: 11, 13, 15 (next three terms)

  Rule: Skip counting by 1

3. Given: a, (a+b), (a+2b),.....

  Answer: (a+3b), (a+4b), (a+5b) (next three terms)

  Rule: nth term = a+(n-1)*b = a+nb-b

  if we need 4th term, put n=4 so that 4th term= a+4b-b = (a+3b)

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