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Yuri [45]
3 years ago
9

One number is 2 less than a second number. twice the second number is 2 less than 3 times the first. write two equations to repr

esent this system using x for one number and y for a second number.
Mathematics
1 answer:
madreJ [45]3 years ago
6 0
X-2<2y.3 i think... don't take my word for it though
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What ratios are equal to 10:15​
Zielflug [23.3K]

Answer:

It is 2/3

Step-by-step explanation:

Divide 10 and 15 by 5 to get 2:3

7 0
3 years ago
A bag contains green tokens and black tokens. There are 8 green tokens in the bag. The ratio of green tokens to black tokens is
melomori [17]

Answer: 2 tokens.

Step-by-step explanation:

From the question, we are informed that a bag contains green tokens and black tokens and that there are 8 green tokens in the bag.

We are further told that the ratio of green tokens to black tokens is 4 for every 1.

Since the green tokens is 4× the black tokens, therefore the number of black tokens in the bag will be:

= 8/4

= 2 tokens

3 0
3 years ago
(HELP ME PLEASE!!!!!! IT HAS PICTURES!!!!!)The edge of each cube used to build this rectangular prism is 1/3 inch long. Which eq
Aleksandr-060686 [28]

Answer:

Option B

Step-by-step explanation:

step 1

Find the number of cubes in the prism

(3)(2)(3)=18\ cubes

step 2

Find the volume of one cube

The volume of one cube is equal to

V=b^3

where

b is the length side of the cube

we have

b=\frac{1}{3}\ in

substitute

V=(\frac{1}{3})^3

V=\frac{1}{27}\ in^3

step 3

To find out the volume of the prism , multiply the volume of one cube by the number of cubes

so

V=(\frac{1}{27})18

V=\frac{18}{27}\ in^3

simplify

V=\frac{2}{3}\ in^3

8 0
3 years ago
Kurt is buying a watch that had an original price of $195 but is advertised as 35% off. Sales tax of 8.75 % is applied to the di
Schach [20]

Answer:

$137.84

Step-by-step explanation:

We have been given that Kurt is buying a watch that had an original price of $195 but is advertised as 35% off. Sales tax of 8.75 % is applied to the discount price. We are asked to find the amount paid by Kurt for the watch.

First of all, we will find discounted price of watch by calculating 65% of original price as 100% minus 35% is 65%.

\text{Discounted price of watch}=\$195\times \frac{65}{100}

\text{Discounted price of watch}=\$195\times0.65

\text{Discounted price of watch}=\$126.75

Now we will add 8.75% of $126.75 to $126.75 to find price of watch after sales tax.

\text{Price of watch after sales tax}=\$126.75+\$126.75\times \frac{8.75}{100}

\text{Price of watch after sales tax}=\$126.75+\$126.75\times 0.0875

\text{Price of watch after sales tax}=\$126.75+\$11.090625

\text{Price of watch after sales tax}=\$137.840625

\text{Price of watch after sales tax}\approx \$137.84

Therefore, Kurt will pay $137.84 for the watch.

8 0
3 years ago
An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.
Lina20 [59]

Answer:

x^3+x^2-2x\leq140

Step-by-step explanation:

This is an algebra problem, and we are expected to inequality for the volume of the aquarium.

Given that the

length= 2x

width=(x – 1)

heigth=  (x + 2)

and the volume= 280 ft^3

the inequality expression for the volume is

2x*(x -1) * (x + 2) \leq 280\\\\

open the brackets

2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280

divide through by 2 we have

x^3+x^2-2x\leq140

5 0
3 years ago
Read 2 more answers
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