All categories

3 years ago

Pavel has 23 books in his collection if he adds 4 books to his collection each month how many books will he have after 15 months

Mathematics

2 answers:

inysia [295]3 years ago

4 0

So 4 books a month x 15 moths = 60. Plus the 23 books they already have would be 83.

4x15=60 +23 = 83

Burka [1]3 years ago

3 0

Books already has:23+4(books added)=27
27*15 (months)=405 books he'll have after 15 months

You might be interested in

The area of a rectangular deck is 680 square feet. The deck's width is 17 feet. What is its perimeter?

Ostrovityanka [42]

680/17=40. Therefore the height of the rectangle is 40 and the width is 17. so 40+40+17+17= c) 114 feet

6 0

3 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

3 years ago

Plse help me dawdawdawd

Maksim231197 [3]

12+6x was subtracted from the left but only 12 was subtracted from the right.

6x and 6 are not equal unless x=1

X=-11/15

3 0

2 years ago

A rectangle has a length of (3.2a + 0.18b)centimeters.The width is half the length. Sasha writes the expression (12.8a + 0.72b)

jeka94

The width is half the length, so is
width = (1/2)*length
width = (1/2)*(<span>3.2a + 0.18b) cm
width = (1.6a +0.09b) cm

The perimeter of the rectangle is twice the sum of length and width.
perimeter = 2*(length + width)
perimeter = 2*((3.2a +0.18b) cm + (1.6a +0.09b) cm)
perimeter = 2*(4.8a +0.27b) cm)
perimeter = (9.6a +0.54b) cm

Sasha did not get this answer, so apparently ...
her reasoning was not correct.</span>

8 0

3 years ago

Find the value of x.

bonufazy [111]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers