the city ordered 4 1/2 of gravel and used 1/5 of that amount to repair a park road. what fraction of a ton was used for the road?

Answer:

z = 54

Step-by-step explanation:

Answer:

the correct is D. 280

Step-by-step explanation:

For the function: (x-4)(x+2)

Point these coordinates and draw a curve on the graph.

Answer:

See below ~

Step-by-step explanation:

Information needed to sketch the graph's function :

Graph :

By plotting these points on a graph, and connecting the points by a curve, we obtain the resultant graph of the function :

Answer:

5/12 (corrected)

Convert with lowest common denominator, 12(find by multiplying)

1/3 = 4/12

1/4 = 3/12

Add the fraction's numerators

4 + 3 = 7

Subtract by 1 whole

7/12 - 12/12 = 5/12

Thus, your answer is 5/12

Answer:

5/12

Step-by-step explanation:

to give the fractions the same denominator, find their gcm

3 * 4 = 12

therefore multiply 1/3 by 4/4 to get 4/12

multiply 1/4 by 3/3 to get 3/12

3/12 + 4/12 = 7/12

to find the remainder subtract

12/12 - 7/12 = 5/12

your answer is 5/12

hope this helps:)

Answer:

a.tens

b.hundreds

b.tenths

c. ones

c

Option B. because all rational numbers are integers.

Have a look at the above venn diagram showing the relationship between - Real, irrational, rational, integers, whole and natural numbers.

[tex]\longrightarrow{\green{Option \: B.}}⟶Option \: B.[/tex]

Using the probability concept, it is found that the number of desired outcomes that Taylor should use in her calculation is given by:

a. 3

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

In this problem, Taylor needs a number greater than 3, which for the dice are 4, 5 and 6, that is, 3 desired outcomes, hence option A is correct.

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Answer: The answer is 3

Step-by-step explanation:

The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.

An equationi is an expression that shows the relationship between two or more variables and number.

Given that the total number of people who ate lunch is 840, hence:

The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.

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Answer:

14,535

Step-by-step explanation:

765 times 95 : 765 x 95 = 72,675

divided by 5 : [tex]\frac{ 72,675}{5} = 14,535[/tex]

Let me know if you want an even more in-depth answer

Happy to do so !

The solution of expression 765 times 95 divided by 5 is,

⇒ 14,535

We have to given that,

To find value of 765 times 95 divided by 5.

We can solve it in two parts,

⇒ 765 times 95

⇒ 765 x 95

⇒ 72,675

And, It is divide by 5,

⇒ 72,6756 / 5

⇒ 14,535

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The value of AB id 0.5 unit.

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles and they are always equal.

According to the given question.

A, B and C lie on the straight line segment. and A, E, and D are also lie in the straight line segment.

Also, BE = 1.75m, CD = 7m and BC = 1.5m

Now, in ΔAEB and ΔADC

EB is parallel to BC

So,

∠AEB ≅ ∠ADC   (corresponding angles)

∠ABE ≅ ∠ACD   (corresponding angles)

∠EAB ≅ ∠DAC    (common angle to the both triangle)

Hence, by AAA Similarity rule

ΔAEB is similar to ΔADC

Therefore,

[tex]\frac{AE}{AD} =\frac{BE}{CD} =\frac{AB}{AC}[/tex]         (sides of the similar triangles are in proportion)

So,

[tex]\frac{BE}{CD} =\frac{AB}{AC} \\\implies \frac{AB}{AC} =\frac{1.75}{7} ....(i)[/tex]

Now, AC = AB + BC   (as, A, B, and C lie on a straight line)

[tex]\implies \frac{AB}{AB+BC} =\frac{1.75}{7}[/tex]       (from (i))

[tex]\implies \frac{AB}{AB+1.5} =\frac{1.75}{7}[/tex]

[tex]\implies 7AB = 1.75AB + 1.75(1.5)[/tex]

[tex]\implies 7AB -1.75AB = 2.625[/tex]

[tex]\implies 5.25AB = 2.625[/tex]

[tex]\implies AB = \frac{2.625}{5.25} = 0.5[/tex]

Hence, the value of AB id 0.5 unit.

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Answer:

−228

Step-by-step explanation:

10+9+8+−255

Add 10 and 9 to get 19.

19+8−255

Add 19 and 8 to get 27.

27−255

Subtract 255 from 27 to get −228.

−228

Answer:

We can solve by using a proportion

4 pages/6 minutes = 6 pages/x minutes      .... cross-multiply.....

4x = 36    divide by 9 on each side

x = 9 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

let C' be the bigger circle

and C be the smaller circle and r its radius.

Area(C') = π × (9² -  r²)

Area(C) = π × r²

Area(shaded region) = area(C') - area(C)

                                  = π × (9² -  r²)

the statement “the area of the shaded region is twice that of the smaller circle ” means  π × (9² -  r²) = 2 × π × r²

Now, let’s solve the equation:

π × (9² -  r²) = 2 × π × r²

⇔ π × (9² -  r² - 2r²) = 0

⇔ π × (81 -  3r²) = 0

⇔ 81 -  3r² = 0

⇔ 81 = 3r²

⇔ r² = 27

⇔ r = √27

⇔ r = 3√3

Answer:

6.32

Step-by-step explanation:

Area of bigger circle = π(9)² = 81π cm²

Area of smaller circle = π(9)²/2 = 81π/2 = 40.5πcm²

Area scale factor = (Linear Scale factor)²

81π/40.5π = 9²/x² {cancel the π}

81/40.5 = 81/x² (cross multiplication)

81x² = 40.5 × 81

√x² = √40.5 (square root both sides)

x = 6.32

Answer:

The cost of the small package because...

Step-by-step explanation:

Cost of 1 postcards = $0.25

Cost of 4 postcards = 0.25 x 4 = 1

Cost of 1 letter = $0.44

Cost of 5 letters = 0.44 x 5 = 2.2

Cost of 1 large envelope = $0.80

Cost of 2 large envelopes = 0.80 x 2 - 1.6

Cost of 1 small package =$5.10

Since the cost of small package is highest

So, It will increase the mean

So,  the cost of the small package will skew the mean

Answer: 15

Step-by-step explanation:

Answer:

0.98 $/cup

Step-by-step explanation:

The final answer asks for price/cup, as "per" means "divided by".

So, our final units will be in $/cup.

We are given that for every 2 gallons, it will cost $31.36.

In order to get from gallons to cups, we need to convert units.

In 1 gallon, there are 16 cups.

So, our conversion factor will be 16 cups/1 gallon.

[tex]\frac{31.36}{2} *\frac{1}{16} \\\\= 0.98[/tex]$/cup

Important things to note:

- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer

Answer:

Here

Step-by-step explanation:

Depending on the amount of the number listed on the graph shows the dot amount

Step-by-step explanation:

the circumference of a circle is

2×pi×radius = pi×diameter

so, in our case

pi×20 = 62.83185307... cm

Answer:

  6; 12; 8.5; 90°; 90°; 45°; 45°

Step-by-step explanation:

A square has all sides the same length, and diagonals the same length. The diagonals bisect the right angles in the corners, and they cross at right angles.

__

As you have already observed, ...

  BW = DW = 6

 AC = BD = 2(DW) = 2(6) = 12

Further, ...

  DA = DC = 8.5 . . . . sides of a square are the same length

  ∠DWA = 90° . . . . . diagonals cross at right angles

 ∠ABC = 90° . . . . . corner angles are right angles

  ∠ABD = 45° . . . . . the diagonal cuts the corner angle in half

  ∠DCA = 45° . . . . . all of the acute angles are congruent

_____

Additional comment

A square is a rhombus that is also a rectangle. The relevant characteristics are ...

Answer:

Step-by-step explanation:

Remark

Since this is a multiple choice question, you need not worry excessively about solving the equation that sin(4x) and Cos(3x + 13) produce. It can be done, but you will spend a lot time and drink a lot of coffee doing it.

C

The wording of this problem is not the best. 13 is not in any way considered.

Not only are the two angles equal (52) but they add to 104 which is greater than 90.

11 is the next one you should look at

4*11 = 44

3*11 + 13 = 46

That gives you the right answer, but the question you have to ask yourself is are you answering the question? I don't think you are. The question is the number of degrees in the smaller angle. I think that means that you have already substituted a value for x.

I think the answer is C.

Answer:

anything else you need me to bring anything for you to come over and watch the kids tonight and I will be there in about the work I do not have a good day at work love you too baby girl I love you too baby a

Answer:

60x-4

Step-by-step explanation:

39x+21x=60x

Therefore, you are left with 60x-4, which is in its simplest form.

Answer:

slope is 4

Step-by-step explanation:

since your trying to find the slope of the tangent line, you have to find the first derivative, once you do plug in your x to give your slope at the designated spot,

Answer:

1 m^3

Step-by-step explanation:

Assume hight 4 and ength 4.

2, 1, 1 = 1

Answer:

The team lost 13 yards

Step-by-step explanation:

They lose 20 then gain 7. so the equation would be 20-7=13

Answer:

x2- 2x+1 =x2-x-x+1

=x(x-1) -1(x-1)

=(x-1)(x-1)

We need to keep it this way as this is the simplest way of expressing its factors.

-1

The policy that makes the largest proſit for the company is Policy A, by $1500.

Profit is the amount paid by people to enter the sweepstakes less the amount they can win.

$3.5 X 10,000 = $35,000

$6.7 X 5000 = $33500

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240 cm³

volume of rectangular prism:

Length * Width * Height

4 cm * 20 cm * 3 cm

240 cm³

Answer

20x4x3= 240

Step-by-step explanation:

Length x Width x Height

Matching each word problem to the equation that models it :

A word problem is a problem that is written in english format. the student is left with a task to unravel and transform it to a mathemtical equation.

in conclusion, the word problem has been matched to their individual equation they model.

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[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-22}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-22}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-7)}}}\implies \cfrac{-22+2}{-2+7}\implies \cfrac{-20}{5}\implies -4[/tex]