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3 years ago

Withint on the number line would apresent -2 1/4 HELP MEEEE PLSSS

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

Answer:

Answer B

Step-by-step explanation:

Fractions on the Number Line

The number line contains an ordered sequence of the numbers, where the smaller numbers are at the left of the greater numbers.

This means -3 is to the left of -2, which is to the left of -1.

Number -2 1/4 lies between -2 and -3.

The only point lying on that interval is B.

Answer B

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a flat rectangular piece of aluminum has a perimeter of 64 inches. the length is 10 inches longer than the width. find the width

I am Lyosha [343]

Answer:

The width of the piece is 11 inches

Step-by-step explanation:

Let

x ----> the length of the rectangular piece of aluminum in inches

y ----> the width of the rectangular piece of aluminum in inches

we know that

The perimeter of the rectangular piece of aluminum is equal to

$P=2(x+y)$

we have

$P=64\ in$

$64=2(x+y)$

simplify

$32=x+y$ ----> equation A

$x=y+10$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$32=y+10+y$

solve for y

$32=2y+10$

$2y=32-10$

$2y=22$

$y=11$

therefore

The width of the piece is 11 inches

3 0

3 years ago

What is the x-intercept of the line described by the equation?

DiKsa [7]

Answer:

(0,-6)

Step-by-step explanation:

recall that the y-intercept is simply the point where the line crosses the y-axis at x = 0.

to find the y intercept, we simply substitute x=0 into the equation and solve for y

12x - 10y = 60, when x = 0,

12(0) - 10y = 60

-10y = 60

y = 60 / (-10)

y = -6

hence the coordinate of the y - intercept is (0,-6)

7 0

4 years ago

The Original Price of an item is $150.00. It is on sale for 30% off. You also have a store coupon for 10% off of the sale price.

kumpel [21]

30% + 10% = 40% off
150 * 0.40 = $60 off
150 - 60 = $90
Solution: you pay $90

6 0

3 years ago

Read 2 more answers

Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 7 years. Assume that mone

Jlenok [28]

Answer:

Step-by-step explanation:

From the first question:

We are to find PV of the annuity.

Using the formula:

Present value of Annuity = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Where , Annuity Amount = $4,000

n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF

r = 6.2% / 4 quarters = 1.55%,

PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r }

= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }

= 1 + [ (1 - 0.66015 ) ] / 0.0155]

= 1 + 21.926

= 22.926

PVAF(28,1.55%) = 22.926

Thus , Present Value of Annuity = $4,000 × 22.926 = $91704.00

2. Present value of Annuity due = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Present Value of Annuity = $90,000

n = No. of periods = 7.5 years × 4 quarters per year = 30 periods

r = 5.4% / 4 quarters = 1.35%,

PVAF(n,r) = [1-(1+r)^-n]/r

PVAF(n,r) = [1-(1+0.0135)^ -30]/0.0135

PVAF(30,1.35%) = (1 - 0.6688)/0.0135

PVAF(30,1.35%) = 0.3312/0.0135

PVAF(30,1.35%) = 24.53

Hence ;

$90,000 = Annuity Amount × 24.53

Annuity amount = $90,000/24.53 = $3,668.48

3 0

3 years ago

In order for a 25-gon to be regular

Elan Coil [88]

Answer:

d. All interior angles and all sides are parallel.

Explanation:

The question is incomplete.

The complete question is:

In order for a 25-gon to be regular, which of the following statements must be true?

a. The interior angles are congruent to their exterior angles.

b.All the diagonals are congruent.

c.Opposite pairs of sides are parallel.

d. All interior angles and all sides are congruent

<h2>Solution to the problem</h2>

A 25-gon is a polygon with 25 sides.

By definiton all sides and all angles of a regular polygon are equal. Hence, you can assert promptly that the correct anwer is the last choice: d. All interior angles and all sides are congruent.

As for the other choices you can analyze each one in this way.

a. The interior angles are congruent to their exterior angles.

The exterior angles are the angles formed by the extension of a side and the next side.

The exterior angles of a polygon sum 360°, then if the polygon is regular the measure of each exterior angle 360° divided by the number of sides.

For the regular 25-gon, that is: 360º/25 = 14.4º.

On the other hand, an exterior angle and the interior angle next to are supplementary. Thus, the measure of the interior angle will be 180º - 14.4º = 165.6º. Clearly, they are not congruent.

b. All the diagonals are congruent.

The diagonals are the sements that joint two non-consectuive sides. There are many differnt diagonals, and most of them have different lengths. Hence, this is false.

c.Opposite pairs of sides are parallel

Only poygons with an even number of sides have opposite side paralles. For instance, square and hexagon. Imagin a triangle or a pentagon: they cannot have parallel opposite sides.

Hence, this is false too.

The only true stament is the last one, as stated and explained above.

5 0

4 years ago