All categories

3 years ago

Lynn bought a box of 45 cards for $42.75 how much did each card cost?

Mathematics

1 answer:

pav-90 [236]3 years ago

6 0

Divide the amount of money with the amount of cards.

42.75/45 = 0.95

Each card costs $0.95

hope this helps

You might be interested in

Estimate the area of a circle with a radius of 21 meters. Use 22/7 for pi. (1 point)

V125BC [204]

A= $\pi$ $r^{2}$

A=( $\frac{22}{7}$ )( $21^{2}$ )

A=( $\frac{22}{7}$ )(441)

A= $\frac{22}{7}$ )( $\frac{441}{1}$ )

A= $\frac{9702}{7}$

A=1386 square meters

The answer is B.

5 0

3 years ago

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Semmy [17]

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume = total volume - the volume on top

so,

total volume = 1/3 (base area)² h

= 1/3 (8*8)² * 12

= 16,384 mm³

volume on top = 1/3 (top base area)² h

= 1/3 (4*4)² * 6

= 512 mm³

finally: get the bottom volume:

bottom volume = total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

= 15,872 mm³

therefore,

the volume of the cut pyramid base = 15,872 mm³

5 0

3 years ago

Read 2 more answers

In December 1990, the largest pizza ever baked was made in South Africa. The diameter of the pizza was 37.4 meters. What was the

madreJ [45]

Answer:

1098.0266 square meters.

Step-by-step explanation:

Area of a circle is pi times radius squared. We know the diameter, witch is twice the radius. Usually we use 3.14 as pi, but it can also be 22/7. If you have to show your work, try looking for if it asks for pi in the decimal or fraction form. Can I get brainliest?

8 0

3 years ago

Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa

Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) : $x^2+y^2+4z^2=36$

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

$\nabla f(x,y,z)=\\\nabla f(x,y,z)=$

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

$\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)$

So, $2x=-4\lambda$

$\Rightarrow x=-2\lambda$

$2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda$

Substitute the value of x , y and z in the ellipsoid equation

$(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2$

With $\lambda = 2$

x=-2(2)=-4

y=2

z=2

With $\lambda =- 2$

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

7 0

3 years ago

What inequality represents the sentence? The product of a number and 12 is no more than 15.

bulgar [2K]

So when this sign < has a line under the greater sign so this mean greater or equal

same with this

12>= x so this mean 12 greater or equal x but than there is a line under the greater sign so this mean equalitie sure too

hope this will help you

7 0

3 years ago