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3 years ago

What is the opposite reciprocal of -2/3

Mathematics

1 answer:

sveticcg [70]3 years ago

5 0

Answer:

the opposite reciprocal of -2/3 is -3/2

Step-by-step explanation:

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What is the slope of the line that contains the points (-1,2) and (4,3)

Bad White [126]

Answer:

1/5

Step-by-step explanation:

We can find the slope using the slope formula

m = (y2-y1)/(x2-x1)

= (3-2)/(4 - -1)

(3-2)/(4+1)

1/5

4 0

2 years ago

Plums are 6 for $1.50, and a sign by the apples that are 5 for $3.00. What is the total cost of buying 2 plums and 2 apples?

Doss [256]

Answer:

The answer is $1.70

Step-by-step explanation:

If 6 plums are $1.50 you would divide $1.50 by 6 to get the unit cost, $.25. Then you do the same thing for the apples. $3.00 divided by the 5 apples is $.60. Now you need to multiply both unit costs by 2 then add them together to get $1.70

(plums) $1.50 / 6 = .25

(apples) $3.00 / 5 = .60

(plums) .25 x 2 = .50

(apples) .60 x 2 = $1.20

$1.20 + .50 = $1.70

Hopefully I could help!!

4 0

3 years ago

This is due in 10 minutes please help me

valkas [14]

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Suppose x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

$x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150$

Multiplying both sides by 100, we get

$7x+16x+27x=15000$

$50x=15000$

Dividing both sides by 50, we get

$x=\dfrac{15000}{50}$

$x=300$

So, the amount invested at 7% is $300$ .

The amount invested at 8% is

$2(300)=600$

The amount invested at 9% is

$3(300)=900$

Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.

7 0

2 years ago

Which point is the midpoint of segment AB?

Allushta [10]

Point X is the midpoint

7 0

3 years ago

Please help with p and q<br> maths geometry

baherus [9]

Step-by-step explanation:

in a very similar way, as the sum of all 4 angles in a triangle is always 180°, so is the sum of all angles in a quadrilateral (a polygon with 4 sides) 360°.

just look at rectangles at special representatives of such quadrilaterals.

now that we know this, we can simply say, the sum of all angles in our shape must be 360° :

(8x + 2) + (4x + 2) + (x - 2) + (5x -2) =

= 18x = 360

x = 20

A = 8×20 + 2 = 162°

B = 4×20 + 2 = 82°

C = 5×20 - 2 = 98°

D = 20 - 2 = 18°

a trapezium has the following properties (in the UK):

like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360°.

a trapezium has two parallel sides and two non-parallel sides.

the diagonals of a regular trapezium bisect each other.

in the USA for example the request for 2 parallel sides does not exist.

we have proven the point with the angle sum.

the other 2 are given by the diagram.

so, yes, it is a trapezium.

the sum of all interior angles of a polygon is

(n - 2) × 180°

n being the number of d sides.

we have here a regular pentagon (5 equal sides).

the size of the angle at any vertex is then

(5 - 2) × 180 / 5 = 3 × 180 / 5 = 3×36 = 108°.

so, theta = 108°.

alpha + beta = 108°

ABE is an isoceles triangle.

so, beta = angle 1

beta + angle 1 + theta = 180

2×beta + 108 = 180

2×beta = 72

beta = 36°

therefore,

alpha = 108 - beta = 108 - 36 = 72°

4 0

1 year ago