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3 years ago

micaela had $22 to spend on seven notebooks. After buying them she had $1. How much did each notebook cost?

Mathematics

2 answers:

lilavasa [31]3 years ago

7 0

Each book cost $3
22-1= 21
21/7=3
3x7=21

My name is Ann [436]3 years ago

4 0

$22-$1= $21
$21/7 = $3 per notebook

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Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0

3 years ago

Ur answer will be marked as brainliest...

Julli [10]

Answer:

92.75 cm^2

Step-by-step explanation:

Area of triangle ADC

= (1/2)×4.5×12 = 27

Area of triangle ACB

=(1/2)×12×5 = 30

Find AB using pythagoras theorem on triangle ABC:

AB^2 = 5^2 + 12^2 = 25 + 144

AB^2 = 169

AB = 13cm

Area of triangle AGB

= (1/2)×13×5.5 = 35.75

Total area = sum of the areas of the 3 triangles found above

= 27 + 30 + 35.75 = 92.75 cm^2

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3 years ago

9 to the 2nd power?11?8?4?1=60

Lisa [10]

9 to the second power:
9 x 9 = 81

6 0

3 years ago

Read 2 more answers

Summer clothes are on sale starting September 1st. A swimsuit is on sale for 40% off the regular selling price of $55.00. What i

o-na [289]

55 / 100 = 0.55 which is 1%

0.55 x 40 = 22 which is 40%

55 - 22 = 33

The answer is $33

5 0

3 years ago

The ratio of boys to girls in a class of

Fudgin [204]

Answer:

The answer is option A.

Step-by-step explanation:

To find the number of girls in the class we must first find the total parts

That's

2 + 7 = 9

In the ratio 7 correspond to girls so the number of girls in the class are

7/9 × 45

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= 35

Hope this helps you

8 0

3 years ago