1.) Is 81 a multiple of 3? Explain how you know2.) Is 46 a multiple of 4? Explain how you know
3.) Is 55 a multiple of 7? Explain how you know.
4.) Is 72 a multiple of 9? Explain how you know.
5.) Is 45 a multiple of 6? Explain how you know.
Also, write the numbers for each explanation. Don't forget to write ''Yes'' or ''No''.

Answers

Answer 1

Answer: yes.a multiple of 3=add the numbers so 8 plus 1 is 9 and divide that by 3 it works
2.no.fthe number formed by its last two digits is divisible by 4, the original number is as well.
3.no.take the last digit, double it, and subtract it from the rest of the number.
4.yes.Add the digits. If that sum is divisible by nine, then the original number is as well.
5.no . has to work with both
Multiple of 2 --> is even (ends with 0, 2, 4, 6 or 8)
Multiple of 3 --> digits add up to a multiple of 3.

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Sally's cat is stuck in a tree 18 ft off the ground. The base of a ladder is placed 6 feet away from the base of the tree. What is the minimum length ladder needed to reach the cat (rounded to the nearest foot)?

Answers

Answer: 19 ft

Step-by-step explanation:

Hi, we have to apply the Pythagorean Theorem, since the tree and the ladder form a right triangle. (see attachment)

Hypotenuse squared = side squared + side squared.

Hypotenuse of a right triangle is the longest side.

Replacing with the values given:

x^2 = 18^2 + 6 ^2

Where x is the length of the ladder.( because is the longest side)

Solving for x:

√(18^2 + 6 ^2)= x

19 ft

around 12 feet of minimum latter needed. :)

PLEASE ME HELPA.
one solution
B.
no solution
C.
an infinite number of solutions

Answers

4 + 3x = 2x - 10

Subtract 2x from each side: 4 + x = -10

Subtract 4 from each side: x = -14

One solution. x = -14

$4+3x=2x-10\n3x-2x=-10-4\nx=-14$

Which are points drawn in this figure?Choose all answers that are correct.

A.
S

B.
R

C.
g

D.m

Answers

The answers are A. S and B. R :)

Use the figure to find each ratio in simplest form.PO/PS=

2/5
3/5
3/8

Answers

Answer:

3/5

Step-by-step explanation:

PO/OS=6/10=(3*2)/(5*2)=3/5

Answer:

The answer is 3/5

3. Matt bought 12 packages of hot dogs and hamburgers for a barbecue. Let x represent the number of packages of hot dogs, which cost $2.75 each. Let y represent the number of packages of hamburgers, which cost $3.20 each. Matt spent a total of $35.25. Write and solve a system of equations that can be used to represent the amount of hot dogs and hamburger packages Matt bought. Are there any constraints on your variables? Is the solution viable or non-viable?

Answers

Answer:

Matt bought 7 packages of hot dogs and 5 packages of hamburger.

Step-by-step explanation:

We are given the following in the question

Let x represent the number of packages of hot dogs.

Cost of one packet of hot dog = $2.75

Let y represent the number of packages of hamburgers

Cost of one packet of hamburgers = $3.20

Then, we can write the following equations:

$x + y = 12\n2.75x + 3.2y = 35.25$

Solving the two equations,

$2.75x + 2.75y = 33\n2.75x + 3.2y = 35.25\n\Rightarrow 0.45y = 2.25\ny = 5\nx = 7$

Thus, Matt bought 7 packages of hot dogs and 5 packages of hamburger.

The solution is viable.

Constraints to the system of equation:

$x,y \geq 0 \nx + y = 12\n2.75x + 3.2y = 35.25$

Dion has a pizza with a diameter of 10 1/3 in . Is the square box shown big enough to fit the pizza inside? The box is 10.38 in wide and the pizza is 10 1/3 inches wide Will give brainly :-)

Answers

The pizza box is wide enough to rest the pizza in it.

What is geometry?

A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects. 2D Geometric shapes. flat forms. The square is a two-dimensional shape having all the sides equal to each other.

Given that the box is 10.38 in wide and the pizza is 10 ( 1/3 ) inches wide. The shape will be analyzed as below:-

Diameter of pizza = 10 ( 1 / 3 ) = 10.333 inches

The width of the box = 10.38 inches

Difference = 10.38 - 10.33 = 0.05 inches gap

Therefore, the square box showed big enough to fit the pizza inside.

To know more about geometry follow

brainly.com/question/19241268

#SPJ2

yes, the box is wide enough because 10 1/3 is 10.33 repeating and the box is 10.38 (.05 inches wider than the pizza)

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