All categories

4 years ago

Boxes that are 16 inches tall are being stacked next to boxes that are 20 in inches tall.

Mathematics

1 answer:

GuDViN [60]4 years ago

3 0

Answer:

A. 80" B. 5 boxes in the 16" box stack, 4 boxes in the 20" stack.

Step-by-step explanation:

A. Find the lowest common product that the two numbers share.

16, 32, 48, 64, 80

20, 40, 60, 80,

B. 80 is the 5th term of 16 and the 4th term of 20

You might be interested in

Evaluate 2 d + 3 when d= 8.

Ray Of Light [21]

Answer:2d+3

2(8)+3

Multiply 2 and 8

16+3

So the answer is 19

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Point A is located at (?5, 2) on a coordinate grid. Point A is translated 1 unit to the left and 5 units down to create point A'

svp [43]

ANSWER

C) 5.1 units

EXPLANATION

The coordinates of A are (5,2).

If this point is translated 1 unit to the left and 5 units down to create point A'.

Then A' has coordinates

$A(5,2)\rightarrow \: A'(5-1,2-5)$

$A(5,2)\rightarrow \: A'(4, - 3)$

The distance between A and A' is calculated using the distance formula,

$|AA'| = \sqrt{ {(5 - 4)}^{2} + {(2 - - 3}^{2} }$

$|AA'| = \sqrt{ {(1)}^{2} + {(5)}^{2} }$

$|AA'| = \sqrt{ 26}$

$|AA'| = 5.099$

We round to the nearest tenth to obtain,

$|AA'| =5.1 \: units$

The measurement that is closed to the distance is 5.1 units

4 0

4 years ago

Kate sold 12 of her paintings and purchased 7 more. if kate has 21 paintings now, how many paintings did she have to begin with?

kicyunya [14]

First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21.

x - 5 = 21 ; x = 26

Thus, Kate initially had 26 paintings.

7 0

3 years ago

Which statement is true about the equations –3x + 4y = 12 and x – y = 1?

Firlakuza [10]

-3x + 4y = 12
x - y = 1....x = y + 1

-3(y + 1) + 4y = 12
-3y - 3 + 4y = 12
-3y + 4y = 12 + 3
y = 15

x - y = 1
x - 15 = 1
x = 1 + 15
x = 16

one solution (16,15)

6 0

3 years ago

A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the l

schepotkina [342]

The height of lighthouse is 52.2 yards

Solution:

Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41 degree

The diagram is attached below

Consider a right angled triangle ABC

AB is the height of the lighthouse

BC is the distance between the base of a lighthouse and Photographer

As per given, BC = 60 yards

Angle between the ground and the top of the lighthouse is 41 degree

Angle ACB = 41 degree

To find: height of lighthouse i.e AB = ?

We know that,

$tan(\angle ACB) = \frac{Perpendicular}{Base}$