Alvin's age is two times Elga's age. The sum of their ages is 24. What is Elga's age?

d. Data is inadequate as it is not possible to determine the direction of D's house relative to A's house.

Directions refer to the relative positions of objects or locations in space. It describes the orientation and location of an object in relation to another object or a reference point.

Based on the information given, . Further information is needed to determine the direction.

Hence, d. Data is inadequate

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Based on the calculation below, renting from both companies will cost the same if Samir drives the truck 50 miles.

The answer to this question can be found by using the miles Samir drives in options C and D as follows:

If Samir drives the truck 50 miles, we have:

Total rent if Company A is used = $135 + ($0.50 * Number of miles) = $135 + ($0.50 * 50) = $160

Total rent if  Company B is used = $125 + ($0.70 * Number of miles) = $125 + ($0.70 * 50) = $160

If Samir drives the truck 100 miles, we have:

Total rent if Company A is used = $135 + ($0.50 * Number of miles) = $135 + ($0.50 * 100) = $185

Total rent if Company B is used = $125 + ($0.70 * Number of miles) = $125 + ($0.70 * 100) = $195

From the calculation above, it can be seen that option C is the correct option.

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2.63 is the value or quotient of 616/265 using long division.

We have to find the value of 616/265

In the given division the numerator is a dividend and the number in the denominator is a divisor.

616 is the dividend and 265 is the divisor.

When we perform long division the quotient will be 2.63 which is the require value.

       2.63  

____________

265 | 616

-530

______

860

-795

______

650

-530

______

120

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Answer:

Step-by-step explanation:

I think 4f + 10

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.

(i) The exponential function that models the decay of the substance is given by:

\(N(t) = Noe^(-0.088t)\)

(ii) If \(400g\) of the substance is present at to, then  \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:

\(N(3) = 400e^(-0.0883) = 309.21g\)  (rounded to two decimal places)

(iii) The rate of change of the amount of the substance after 3 days is given by:

 \(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)

(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:

\(N(t) = 0.5No\)

\(0.5No = Noe^(-0.088t)\)

\(0.5 = e^(-0.088t)\)

\(ln(0.5) = -0.088t\)

\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)

Therefore, after  \(7.89\) days, half of the original  \(400g\) of the substance will remain.

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Answer:

824

Step-by-step explanation:

Số quạt đã chuyển đi:

927 x 1/9 = 103 (chiếc)

Số quạt còn lại trong kho hàng là:

927-103 = 824 (chiếc)

Answer:

58 seconds

Step-by-step explanation:

Very very easy, no formulas or +,- required here.

You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.

So hence, your answer is 58 seconds!

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If you see someone without a smile, give them one of yours!

Thanks!

~MiniMeteorologist~

Have a great day!

:D

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Answer:

The answer is 24 cracks will be filled

Step-by-step explanation:

hope it helps :3

16 ounces in a pound.  convert pounds  to ounces

calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.

The amount of cracks to be filled : 48 /2  = 24 cracks

Answer:

Step-by-step explanation:

miles         hour

7          :       1

*7              *7

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

49        :       7

49/7=7

Answer:

f=10

Step-by-step explanation:

I don't know a formula for this but I can see that <CRE is a 90° angle so 7f+2f=90 and if f=10 7f=70 and 2f=20 which fits

The measure of angle of each is 70° and 20°.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

The given angles are complementary.

That is, ∠CRE is complementary, which means the angle is 90 degrees.

∠CRT + ∠TRE = 90°

(7f)° + (2f)° = 90°

9f = 90°

f = 90 / 9

f = 10

Hence ∠CRT = (7f)° = 70°

∠TRE = (2f)° = 20°

Hence the measure of each of the angle is 70° and 20°.

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Answer:

The answer is below,

Step-by-step explanation:

n+q=205n+25q=400

I hope this helps! :)

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

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The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.

If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.

Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:

x/y = 2/3

To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.

The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.

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Answer:

63 men said no.

Step-by-step explanation

3/5 * 2/2 = 6/10, 6/10 - 3/10 (women) = 3/10 meaning 7/10 men said no. 90*1.7 = 153, 153-90=63

Answer:

30%. Remember the question is what percentage?

Step-by-step explanation:

Given Informations:

Men = 90

Women = 60

Total number (men + women) = 150.   ...... (1)

For Yes Members,

3/5 of the people said YES.

3/5 of 150 = 90 .......                                        (2)

This means that out of 150, 90 people said YES.

However, we dont know what ratio are men or women all we can deduce is that 90 said YES.

From the question, 3/10 are women that said YES.

Meaning 3/10 of 90 are women = 27. ..                  (3)

27  women said YES therefore

90 -27 = 63  Men said YES.

FOR NO Members,

If 90 out of 150 said yes, then 60 said NO.

However, we dont know the ratio of Men and Women that said NO. What we can do is to solve it from the known to the unknown.

For Men,

The total number is 90.

63 said YES, therefore (90 - 63 ) definitely said NO.

= 27 Men said NO                         (4)

For Women,

The total number of women is 60

27 said YES, Therefore (60 - 27) said NO

= 33 women said NO.      ( 5)

The question is what percentage of Men said NO?

Percentage =

number of men that said NO / The total number of Men  * 100

= 27/90 * 100

=30%

To Prove the Answer

If you agree with Eq 2, which says 90 people said yes. Therefore, (150 -90) = 60 said NO.

Remeber the 60 is inclusive of Men and Women.

Let's see, if we will get 60 when we add the number of men and women we got that said NO.

Add the value in Eq 4 + Eq 5.

27 + 33 = 60.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)

A = (1/4)√29√21√7

= about 16.32 mm²

Answer:

  16.27 mm²  (see comment)

Step-by-step explanation:

You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²

The area of the triangle is about 16.27 square millimeters.

__

Additional comment

If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)

  s = (4 +11 +14)/2 = 14.5

  A = √(s(s -a)(s -b)(s -c))

  A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375

  A ≈ 16.32

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Answer:

Highest Elevation: 14240

Lowest Elevation: -285

Step-by-step explanation:

Given

\(Highest\ Elevation = 14,240\ ft\) above sea level

\(Lowest\ Elevation = 285\ ft\) below sea level

Required

Represent both altitudes as an integer

For the Mountain:

Take the sea level as 0 feet

\(Altitude = Highest\ Elevation - Sea\ Level\)

\(Altitude = 14240 - 0\)

\(Altitude = 14240\)

Hence, the integer is 14240

For the Valley:

Take the sea level as 0 feet

\(Altitude = Sea\ Level - Lowest\ Elevation\)

\(Altitude = 0 - 285\)

\(Altitude = -285\)

Hence, the integer is -285

Answer:

42.72

Step-by-step explanation:

Answer:

5.28

Step-by-step explanation:

100%-89%=11%

48x11%=5.28

It's a lot of grouping like terms.

The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.

Let the cost price of rice is R and cost price of sugar is S.

Case 1 :  total cost of 5 kg rice and 6 kg sugar is Rs. 940.

5R + 6S = 940 ...(1)

Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.

The new cost price of rice = R + 20% of R = 1.2R

The new cost price of sugar = S - 10% of S = 0.9S

So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.

Thus,

4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)

From equations (1) and (2) we have,

(5R + 6S)/(4.8R + 2.7R) = 940/627

R/S = 8/9

Hence, if the price of rice is 8 then the price of sugar is 9.

It is clear that the price of sugar is more than that of rice.

The percent cost by which cost of rice is less than sugar is:

(9 - 8)/ 9 (100) = 11 1/9%.

Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

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The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment.

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%.

Given;

Hannah makes 5 out of 8 attempted free-throws

Now,

The average waiting time of hannah to make her first basket=5/8

The probability of hannah making basket at her last attempt=1/8

The probability of hannah making basket before her last attempt= 2/8

Therefore, the probabilty will be 1/8 and 2/8.

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The statements that are true are B and D.

Given are some statements we need to check which is true.

Let's analyze each statement:

A. 4 is a perfect cube.

False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.

B. 16 is a perfect square.

True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.

C. 2,197 is both a perfect square and a perfect cube.

False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.

However, it is a perfect cube because 13³ equals 2,197.

D. 8 is a perfect cube.

True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.

E. 18 is neither a perfect square nor a perfect cube.

True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.

Therefore, the statements that are true are B and D.

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The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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We have proved that the ray FE is parallel to the ray GC.

What is meant by parallel lines?

In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance.

Angle DEF intersects at B

which results in angle DEF corresponding to the angle  ACG.

As DEF = 45 so angle ACG = 45

So by the above discussion, we can say that the ray FE is parallel to the ray GC.

Hence, we have proved that the ray FE is parallel to the ray GC.

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Answer:

Explanation:

Marcy said that she could multiply the lefts side of her equation by 4 and multiply the right side by 8 and still maintain its balance.

Let the quantity on the left be y, and the quantity on the left be x.

Marcy's equation could be: