All categories

3 years ago

Solve 2r – 15 = -9r + 18.

Mathematics

2 answers:

Sladkaya [172]3 years ago

8 0

Answer:

what ur insta?

Step-by-step explanation:

Phoenix [80]3 years ago

6 0

Answer:

The answer to your question is r = 3

Step-by-step explanation:

2r - 15 = - 9r + 18

Process

1.- Add 9r in both sides

2r + 9r - 15 = - 9r + 18 + 9r

2.- Simplify

11r -15 = 18

3.- Add 15 to both sides

11r - 15 + 15 = 18 + 15

4.- Simplify

11r = 33

5.- Divide both sides by 11

11/11 r = 33/11

6.- Simplify and result

r = 3

You might be interested in

Find the value of 815×213 Although these numbers aren't quite as nice as the ones from the example, the procedure is the same, s

ANEK [815]

Answer:

The answer is 173,595‬

Step-by-step explanation:

Firstly, you multiply 815 by the first number of 213 which is 3

So:

$815* 3=2445\\$

Then 815 by the second number:

$815* 1=815\\$

Then 815 by the third number:

$815* 2=1630\\$

Then you add all the numbers, but you have to put a zero to the right of the second product and two zeroes to the third product and so on..

In this case the addition is :

2445+8150+163000 = 173595

8 0

3 years ago

2. A sculptor is planning to make two triangular prisms out of steel. The sculptor will use ΔABC for the bases of one prism and

Phoenix [80]

Answer:

a) SAS

b) Volume of DEF is 4 times the Volume of ABC

Step-by-step explanation:

a) since they have one same/congruent angle (angle B and angle E) and other two sides are in the same ratio, they are similar by SAS similarity theorem.

40/20 = 30/15 = 2

Therefore Δ ABC is similar to Δ DEF

b) Volume of a prism

= base area × height

Let height be 'h cm'

With Base ABC:

Volume = ½×20×15×h = 150h cm³

With Base DEF:

Volume = ½×40×30×h = 600h cm³

600h/150h = 4

Prism with base DEF has a greater volume; it's 4 times of the volume of the prism with base ABC

7 0

4 years ago

A greeting card company can sell cards for $2.75 each, so the revenue can be calculated using the formula 2.75 Rx . The company’

LuckyWell [14K]

Given that the revenue equation is $R(x)=2.75x$ and the cost equation is $C(x)=0.35x+12,000$

Part A:

At break-even the cost is equal to the revenue.

Thus, the algebraic equation needed to determine when the company will break even is given by

$R(x)=C(x) \\ \\ \Rightarrow2.75x=0.35x+12,000$

Part B:

The solution to part A is given as follows:

$2.4x=12,000 \\ \\ \Rightarrow x=5,000$

Part C:

<span>The algebraic inequality needed to indicate that the revenue is greater than the cost is given by

$R(x)\ \textgreater \ C(x) \\ \\ \Rightarrow2.75x\ \textgreater \ 0.35x+12,000$

Part D:

</span>The solution to part C is given as follows:

$2.4x>12,000 \\ \\ \Rightarrow x>5,000$

Part E:

The answer in part D tells us that the the company will make a profit when the produce more than 5000 cards.

3 0

3 years ago

Grandma baked many biscuit cakes. She glazed a quarter of all the cakes with chocolate, and decorated a third of the rest of the

Ede4ka [16]

Answer:

Grandma baked 72 cakes

Step-by-step explanation:

Let x=biscuits cake baked by grandma

1/4x=chocolate

1/3x=nuts

1/4+1/3=3+4/12

=7/12x

Remaining

X-7/12x

=12-7x/12

=5/12x

1/2 of 5/12x=fruit

5/24x =fruit

Remaining

5/12x-5/24x=15

10-5/24x=15

5/24x=15

x=15÷5/24

=15*24/5

=360/5

=72

x=72 cakes

Grandma baked 72 cakes

3 0

4 years ago

Read 2 more answers

Need help: write the expression in a complete factored form: x²-9x+xy-9y

Galina-37 [17]

Factor this by grouping. Group the first two terms together and then the second 2 terms together. The idea here is that, after grouping, what you can pull out in both groups is the same. Like this:
$( x^{2} -9x)+(xy-9y)$
Now work on finding a common thing between the 2 groups:
$x(x-9)+y(x-9)$
See, what you have in common there now is the (x-9) that you can factor out:
$(x-9)(x+y)$
And that is factored completely.

4 0

3 years ago