a
Matt spent $90 per month on
groceries and a total of $640 for
clothes and entertainment over the
last 4 months. How much should Matt
expect to pay for clothes, groceries,
and entertainment in 1 year?

The number of cups will be equal to 496.

The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmatic progression

Here we have the data:-

The bottom row has 61 cups

If there are 16 total rows

The number of the cups will be calculated as:-

[tex]S_n=\dfrac{n(a_1+a_n)}{2}[/tex]

Here a1 is first term 1

an is last term 2

n is the total number of the rows

By putting the values in the question we will get:-

[tex]S_n=\dfrac{16(1+61)}{2}=\dfrac{16\times 62}{2}=496\ cups[/tex]

Hence the number of cups will be equal to 496.

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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:

1 m^3

Step-by-step explanation:

Assume hight 4 and ength 4.

2, 1, 1 = 1

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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Answer:

the correct is D. 280

Step-by-step explanation:

Answer:

z = 54

Step-by-step explanation:

Answer:

Here

Step-by-step explanation:

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

The inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is C. r < t < l.

From the information given, it should be noted that f'(x) is negative. Therefore, L > R. Also since f"(x) is negative, T > R.

f(x) = 2 cos 2x.

f'(x) = -4 sin 2x

f"(x) = -8 cos 2x

Therefore, the inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is r < t < l

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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

Answer:

55

Step-by-step explanation:

55

Answer:

55

Step-by-step explanation:

11×5=55.So 55 is the lcm of 5&11

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

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]

Answer:

each side to the fence has 6 units added to have an area of 176

Step-by-step explanation:

Let me know if you need anything more !!

Happy to help :)

Answer:

33.5

Step-by-step explanation:

60°÷360=0.16

60°/360° ×π×8²m

=33.5m²

Answer:

5.9 m²

Step-by-step explanation:

Area (shaded) = Area (sector) - Area (triangle)

Finding base of triangle

Solving

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:

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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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

Answer:

a.tens

b.hundreds

b.tenths

c. ones

c

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

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:

$25.55

Step-by-step explanation:

7.30*2.50=18.25

7.30+18.25=25.55

Answer:

~17/40~

Step-by-step explanation:

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:

Answer:

The team lost 13 yards

Step-by-step explanation:

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

[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]

Answer:

1. 18  just + 6

Step-by-step explanation:

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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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:

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

Step-by-step explanation:

the circumference of a circle is

2×pi×radius = pi×diameter

so, in our case

pi×20 = 62.83185307... cm