Estimate the sum of 12.15,16.85 and1.74 by rounding each number to nearest tenth

Answer:

1 in^2

Step-by-step explanation:

Answer:

She made 118% profit.

Step-by-step explanation:

Answer:

$20 an hour

Step-by-step explanation:

20 x 50 = 1,000 and 1,000 x 51 = 51,000

Answer:

1 2/15 inches

Step-by-step explanation:

First you need to make the denominator of the two fractions match.

4/5 and 1/3

the least common multiple of these is 15

4/5 becomes 12/15

1/3 becomes 5/15

add them together

17/15

subtract 15 from 17 because 15/15 is one

we get 2

put 2 as the numerator and 15 as the denominator

Answer:

5 hours

Step-by-step explanation:

28x = 60(440-x)

28x = 60*440 - 60x

88x = 60*440

x = 60*440/88

x = 300mi, distance Jon travels

300mi/60mph = 5hrs, the time it took them to meet

CHECKING OUR ANSWER

60MPH*5HR + 28MPH*5HR = 300MI + 140MI = 440MI

we get the value of x as 2.4 units when QR is 18 units.

We are given a segment PR.

We are also given that Q is the mid point of the segment.

So, we get that

PQ = QR

Now, we have that

QR = 18 units

PR = 5 x + 6

We have to sind the value of x.

Substituting the values of PR and QR in the equation, we get that:

5 x + 6 = 18

5 x = 18 - 6

5 x = 12

x = 12 / 5

x = 2.4 units

Therefore, we get the value of x as 2.4 units when QR is 18 units.

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Answer:

47 , 52

Step-by-step explanation:

Answer:

first figure area is 47 square units

second figure area is 52

The expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.

It should be noted that an expression simply shows the relationship that exists between the variables.

In this case + means addition.

Therefore, the expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.

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Answer:

Definition of perpendicular lines

Step-by-step explanation:

Using a system of equations, it is found that the maximum number of people that could be helped with one plane of supplies is: 40,000.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

For this problem, the variables are given as follows, considering the situation described:

Each food kit helped 8 people and each medicine kit helped 6 people, hence the total number of people helped is given by:

T = 8x + 6y.

This is because we consider that people were helped by only one of them, never both.

Each plane could carry no more than 80,000 pounds. Each food kit weighed 20 pounds and each medicine kit weighed 10 pounds, hence:

20x + 10y = 80000

2x + y = 8000

y = 8000 - 2x.

The maximum volume is of 6000 cubic feet, hence:

x + y = 6000.

y = 6000 - x.

Equaling both equations:

8000 - 2x = 6000 - x

x = 2000.

y = 6000 - x = 4000.

Then the maximum number of people helped is:

T = 8x + 6y = 8 x 2000 + 6 x 4000 = 40,000.

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Answer: 1.31613582522

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

Shift 2 units left:  y = [tex](x+2)^{2}[/tex]

shift up 9 units:  y =  [tex](x+2)^{2}[/tex]  + 9

reflect in the x-axis:  y = -  [tex](x+2)^{2}[/tex] - 9

y =[tex]x^{2}[/tex]

Shift 2 units left:  y = [tex](x+2)^{2}[/tex]

Then, shift up 9 units:  y =  [tex](x+2)^{2}[/tex]  + 9

Then, reflect in the x-axis:  y = -  [tex](x+2)^{2}[/tex] - 9

Each reference coordinate line is referred to as an axis of the system, or simply an axis (plural axes),  and its origin is at the ordered pair intersection (0, 0). The positions of the perpendicular projections of the point onto the two axes, represented as signed distances from the origin, can likewise be used to establish the coordinates.

The same idea may be used to determine the location of any point in three dimensions using three Cartesian coordinates.

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The probability that a four is obtained on at least one of the rolls 51.71 %.

We need to use this formula in order to find out the probability of getting 4

1 – 54/64

=1 -  625/1296

=  671/1296

= 51.71%

Hence , the probability that a four is obtained is  51.71 %.

A traditional die is a cube with each of its six faces marked with a different number of dots from 1 to 6. Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that proportion is true. The probability of an event is a number between 0 and 1 , where roughly speaking , 0 indicated impossibility of the event and 1 indicates certainty.

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Using proportions, it is found that she travels 60 miles from her house to the VAB on days her colleague drives.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The first step is finding the fraction corresponding to the 7 miles, hence considering that the total is of 100% = 1 and the fractions given above, we have that:

1 - 5/6 - 1/20 = 1 - 0.8333 - 0.05 = 0.1167.

The 7 miles represent 0.1167 of the trip, hence:

0.1167x = 7

x = 7/0.1167

x = 60.

She travels 60 miles from her house to the VAB on days her colleague drives.

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Answer:

D. x ≤ 5

Step-by-step explanation:

The closed circle means greater than or equal to (≤) or less than or equal to (≥). The open circle is greater than (<) or less than (>).

And since the circle is closed and the arrow is going to the right, than x is either greater than 5 or equal to 5

The distance the actual weight is from the weight shown on the scale is

l x - 7.2 l

In the given statement is :

A store scale measures the weight of objects within 0.4 ounce of the actual weight. The store scale measured an object with an actual weight of x ounces, displaying 7.2 ounces on its screen.

And, Which expression, using absolute value, shows the distance the actual weight is from the weight shown on the scale

Now, Let's start the solution:

A store scale measuring an object with an actual weight = x ounces

and, displaying the weight on its screen is = 7.2 ounces

By using the absolute value

Hence, The distance the actual weight is from the weight shown on the scale is l x - 7.2 l

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Answer:

C

Step-by-step explanation:

this question is horribly phrased.

as far as I can tell after reading this multiple times, this is again looking for the GCF : the greatest common factor.

so, again, prime factor analysis :

168 :

168 ÷ 2 = 84

84 ÷ 2 = 42

42 ÷ 2 = 21

21 ÷ 2 no

21 ÷ 3 = 7

7 ÷ 3 no

7 ÷ 5 no

7 ÷ 7 = 1 finished

168 = 2³×3×7

120 :

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 2 no

15 ÷ 3 = 5

5 ÷ 3 no

5 ÷ 5 = 1 finished

120 = 2³×3×5

the GCF is the part of the prime factors both numbers share :

2³×3 = 8×3 = 24

so, they can make 24 fruit cups with identical content and using all the fruits.

these pieces of information were missing in the text.

based on the text without the answer options I was already going for the maximum that each fruit cup has one piece of fruit, and that gives us 168 + 120 = 288 fruit cups max.

Answer:

117 tiles

Step-by-step explanation:

Area of rectangle = length * width

To find the number of tiles divide the area of pantry floor by the area of a tile.

Convert mixed fraction to improper fraction.

[tex]\sf 4\dfrac{1}{2}=\dfrac{9}{2}\\\\\\6\dfrac{1}{2}=\dfrac{13}{2}[/tex]

  [tex]\sf \boxed{\text{\bf Number of tiles = $\dfrac{Area \ of \ floor}{area \ of \ a \ tile}$}}[/tex]

                                 [tex]\sf = \left(\dfrac{9}{2}*\dfrac{13}{2}\right ) \ \div \left(\dfrac{1}{2}*\dfrac{1}{2}\right)\\\\\\= \left(\dfrac{117}{4}\right) \ \div \left(\dfrac{1}{4}\right)\\\\\\[/tex]

Use KCF method.

                                   [tex]\sf =\dfrac{117}{4}*\dfrac{4}{1}\\\\= 117[/tex]

Using a system of equations, it is found that you should mix 7 pounds of dried fruit and 3 pounds of nut.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The mixture has a total of 10 pounds, hence:

x + y = 10 -> y = 10 - x -> x = 10 - y.

Considering the cost per pound of each, and the total cost of 10 x 5.34 = $53.4, we have that:

4.5x + 7.3y = 53.4.

Replacing x = 10 - y, we have that:

4.5(10 - y) + 7.3y = 53.4.

2.8y = 8.4.

y = 8.4/2.8

y = 3.

x = 10 - 3 = 7.

You should mix 7 pounds of dried fruit and 3 pounds of nut.

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Answer:

  648 m

Step-by-step explanation:

Given observations of two nests, one at 400 m, and the other at 300 m in a direction 135° from the first, you want to know the distance between the nests.

The law of cosines can be used to find the third side of a triangle, given two sides and the angle between them. It tells us ...

  c² = a² +b² -2ab·cos(C)

In this scenario, we have a=400, b=300, and C=135°. The distance c is then ...

  c² = 400² +300² -2·400·300·cos(135°) ≈ 419,705.63

  c ≈ √419,705.63 ≈ 647.8

The two nests are about 648 meters apart.

Answer: You're dividing, and the answer is 1/2, 1/4, 1/3, 1/8

Step-by-step explanation:

Answer:

The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)

You can use direct proportion to solve this:

If $1 is to Y99.30487 then what will $100 be equal to:

1         :          99.30487 Yen

100    :                x

Cross multiply to get:

1x = 99.30487 Yen x 100

x = (99.30487 Yen x 100) / 1

Which can be written as:

= 100 ( 99.30487 Yen / 1)

In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)

Step-by-step explanation:

Using it's concept, there is a 0.462 probability that a randomly selected male student says that the school should adopt a dress code.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

From the table, we have that:

Hence the probability is given by:

p = 30/65 = 0.462.

0.462 probability that a randomly selected male student says that the school should adopt a dress code.

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Answer:

nose ....................

Answer:

a has two solutions for this case.

a₁: [tex]a=-9-b[/tex]

a₂: [tex]a=-1+b[/tex]

Step-by-step explanation:

         [tex]a+b-b=-9-b\\a=-9-b[/tex]

         [tex]a-b+b=-1+b\\a=-1+b[/tex]

➲ I hope this helps you.

Answer:

Step-by-step explanation: