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3 years ago

5

The integer to represent a gain of 9 pounds would be ______.

1 answer:

AlladinOne [14]3 years ago

5 0

Answer: -9

Step-by-step explanation:

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A. Renard let’s t= the number of taffy bags and c= the number of Carmel bags. Help him write two equations to represent the info

vlabodo [156]

Answer:

20 taffy bags and 15 caramel candy bags

Step-by-step explanation:

<u>Given:</u>

t = the number of taffy bags
c = the number of caramel bags
Number of taffy's are 5 more than caramel bags
Taffy bags weigh 8 ounces and caramel bags weigh 16 ounces
Total weight is 400 ounces

<u>Equations:</u>

t = c + 5 (the difference in number of bags)
8t + 16c = 400 (the weight of the bags)

<u>Simplify the second equation by dividing all terms by 8:</u>

t + 2c = 50

<u>Substitute t and solve for c:</u>

c + 5 + 2c = 50
3c = 50 - 5
3c = 45
c = 45/3
c = 15

<u>Find the value of t:</u>

t = 15 + 5 = 20

<u>Answer:</u>

20 taffy bags and 15 caramel candy bags

7 0

3 years ago

765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible

tia_tia [17]

Answer:

All the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

Step-by-step explanation:

765ab4 to be divisible by 36, it must be divisible by both 9 and 4.

For any number to be divisible by 4, the last two digits of the number must be divisible by 4.

Here, the last two digits are b4, so as the number b4 is divisible by 4, b can be 0,2,4,6, and 8.

For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.

Here, the sum of all the digits, S= 7+6+5+a+b+4=22+a+b.

Now, we have b={0,2,4,6, 8}

For b=0,

S=22+a+0=22+a which is a multiple of 9.

So, the possible value of the digit a :

a=5

So, (a,b)=(0,5)

For b=2,

S=22+a+2=24+a which is a multiple of 9.

So, the possible value of the digit a :

a=3

So, (a,b)=(2,3)

For b=4,

S=22+a+4=26+a which is a multiple of 9.

So, the possible value of the digit a :

a=1

So, (a,b)=(4,1)

For b=6,

S=22+a+6=28+a which is a multiple of 9.

So, the possible value of the digit a :

a=8

So, (a,b)=(6,8)

For b=8,

S=22+a+8=30+a which is a multiple of 9.

So, the possible value of the digit a :

a=6

So, (a,b)=(8,6)

Hence, all the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

3 0

3 years ago

The length of the hypotenuse of a right triangle is 34 inches and the length is 34 inches and the length of one of its legs is 1

nata0808 [166]

Answer:

The length of the other leg of this right angled triangle is 30 inches.

Step-by-step explanation:

We are given the following in the question:

A right angles triangle with the hypotenuse of 34 inches and the length of one of its legs is 16 inches.

Pythagoras theorem:

The sum of of square of two sides of a triangle is equal to the square of the hypotenuse.

Let x inches be the length of the other leg of this right triangle.

Thus, we can write the equation:

$x^2 + (16)^2 = (34)^2\\x^2 + 256 = 1156\\x^2 = 900\\x = 30$

Thus, the length of the other leg of this right angled triangle is 30 inches.

3 0

3 years ago

To find the unit rate for $182

tino4ka555 [31]

Hey there <span>angelinarigole!

Question:
</span><span>To find the unit rate for $182
----------
14feet

Answer:
</span><span>Divide both 182 and 14 by 14.

182</span>÷14=$13

14÷14=1

Hope this helps!

-Jayden

4 0

3 years ago

Read 2 more answers

What is 103 + 343 + 252

zmey [24]

Answer:

its 698...............................

5 0

2 years ago