Solve the inequality 2(4x – 3) ≤ 5x – 27

Answer:

4 - 3y

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]

= 4 - 3y

The simplification of 1/3(12-9y) using distributive property is 4 - 3y

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

For example, 2( x +y ) can be simplified as 2 × x + 2 × y

= 2x + 2y. This is distributive property.

Similarly, ⅓( 12- 9y) can be simplified as

(1/3 × 12) - (1/3 × 9y)

= 4 - 3y

Therefore 1/3(12-9y) is equivalent to 4 - 3y

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Answer: Hello!

The two numbers are 8 and 5 .

Step-by-step explanation:

Mark me brainest please. Hope I helped! Hope you make an 100%

Anna♥

Answer:

76 quarters, 3 dimes

Step-by-step explanation:

if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents

Answer:

66 Quarters and 28 dimes

Step-by-step explanation:

.10d + .25Q = 19.3Q

d + Q = 94

so d = 94 - Q

Substitution method:

.10(94 - Q) + .25Q = 19.30

9.4 - .10Q + .25Q = 19.30

9.4 + .15Q = 19.30

.15Q = 9.9

Q = 66 so d = 94 - 66 = 28

Answer:

Step-by-step explanation:

write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets

Volleyball Team:  T(V) = 2.50x(V)

The problem staes use x for the number of tickets, but I've noted these numbers as a function of basketball, x(B), and volleyball, x(V).

We know the amounts each team has raised, sio we can calculate the number of tickets:

Basketball

 $275 = $4.50x(B)

x(B) = 61.11  [There can't be 0.11 ticket, so round down to 61 and declay an error in making change]:  61 tickets from the Baseball team

 $500 = $2.50x(V)

x(V) = 200 tickets from the Volleyball team

---

"write an equation that would represent when the basketball team would have more money than the volleyball team."

We want the ratio of T(B) to T(V) to be greater than 1 [the total basketball sales are greater than the total Volleyball sales.]

T(B)/T(V) = ($4.50x(B))/($2.50x(V))

1 <= ($4.50/$2.50)*(x(B)/x(V))

1 <= 1.8(x(B)/x(V))

x(V) <= 1.8*(x(B))

The baseball team needs to sell 1.8 times the number of tickets sold by the baseball team.

----

The basketball team is jealous and wants to know how many more tickets they need to sell to catch up with the volleyballers.

To reach $500:

 $500 = $4.50*x(B)

x(B) = 111.11  (Another rounding problem, but we don't need to worry.  It wants to kniow "how many MORE."

(111.11 - 61.11) = 50 more tickets to reach the same $500 the Volleyball team has collected.

the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:

- The side opposite the 30° angle is half the length of the hypotenuse.

- The side opposite the 60° angle is √3 times smaller than the hypotenuse.

- The hypotenuse is twice the length of the side opposite the 30° angle.

Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).

Then:

- The side opposite the 30° angle = x = 0.5 inches

- The side opposite the 60° angle = √3 * x = √3/2 inches

- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch

So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

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Answer:

x > 15

Step-by-step explanation:

first step is to subtract 9 from each side to get:

x/3 > 5

now multiply each side by 3 to get:

x > 15

Answer:

42in =3.5ft.

5ft=___60in

Answer:

Step-by-step explanation:

-6x-2y= -26

3(-6x-2y)= -26*3

-18x-6y= -78

(subtract this from the first equation)

(-2x-6y)-(-18x-6y)= -14+78

16x=64

x=4

Now that we know x= 4 we can plug that into an equation and solve for y

-2(4)-6y= -14

-8-6y= -14

-6= -6y

y= 1

x=4

y= 1

(4,1)

=============================

[tex]\large\bold{Equation:}[/tex]

[tex]\large\bold{Solution:}[/tex]

Let's solve for f

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

1st step: Factor out variable f

2nd step: Divide both sides by 4p+3

[tex]\large\bold{Answer:}[/tex]

===================================

How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!

^^

Based on the weight of the old box of crackers, we can infer that the weight of the new box is 14.4 ounces.

The old box weighed 12 ounces and the new box has 20% more than the old box had.

The new box should therefore weigh 20% more than the old box which means that it weighs:

= Weight of old box x ( 1 + increase in new box)

= 12 x (1 + 20%)

= 14.4 ounces

In conclusion, the new box weighs 14.4 ounces.

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Answer:

what do you need help with

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793

Answer:

y = 42º

Step-by-step explanation:

The unmaked angle of the bottom triangle is 90º

The sum of the angles is 180

y + 90 + 48 = 180

combine like terms

y + 138 = 180

subtract 138 from both sides

y = 42º

Answer:

158 feet

Step-by-step explanation:

24 inches = 2 feet

79 x 2 = 158

Answer:

It's the third one,

Step-by-step explanation:

the only one with the dot in the negatives

Answer:

about 1 cup maybe less

Step-by-step explanation:

Answer:

A, a dilation of 2

Step-by-step explanation:

The answer is, A dilation of 2 because the image is getting dilated to a  bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.

(Pre-image is a shape before a transformation, image is after a ransformation.)

Have a great day friend! :D

Answer:

The answer for this particular question is (5,-8)

Answer:

$8640

Step-by-step explanation:

Step 1:

The total amount of the car currently is $45,000. The car depreciates by 10% for the next 3 years. Then multiply 3 to 45,000.

3 × 45,000 = 135,000

The price then decreases by 10%. So, find 10% of 135,000

[tex]10\% = \frac{10}{100}[/tex]

[tex]135000=\frac{135000}{1}[/tex]

[tex]\frac{10}{100}\times \frac{135000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{10}{1}\times \frac{1350}{1}[/tex]

Multiply across

[tex]10\times1350 = 13500[/tex]

Therefore, for the three years, the cars price is now $13,500.

Step 2:

The next step is the same as the first one. But now the car currently is $13,500. And The car depreciates by 8% for the next years. We have to find the value in 8 years. Then multiply 8 to 13,500.

8 × 13,500 = 108,000

Now, find 8% of 108,000

[tex]8\% = \frac{8}{100}[/tex]

[tex]108000=\frac{108000}{1}[/tex]

[tex]\frac{8}{100}\times \frac{108000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{8}{1}\times \frac{1080}{1}[/tex]

Multiply across

[tex]8\times1080 = 8640[/tex]

Therefore, the value of the vehicle in 8 years is $8640.

Answer:

the answer is b

Step-by-step explanation:

Answer:

[tex]1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?[/tex]

Step-by-step explanation:

Answer:

1-a

2-e

3-d

4- c  

5- b

Step-by-step explanation:

Answer:

15/3=5

Step-by-step explanation:

Crystal has played the piano for 5 times longer than Jane.

Answer:

B

Step-by-step explanation:

B because 12;18+16=B

Answer:

Find the missing value in the

equivalent ratio 12:18 = 16:

Choose

A.20

B.24

C.28



we have that

12:18 is the same that 12/18

simplify

12/18=6/9=2/3

Multiply by 8/8

(2/3)*(8/8)=16/24

therefore

the answer is the option B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

7 : 60 = x : 24

x = 7 * 24 : 60

x = 2.8 miles

Answer:

a + b

Step-by-step explanation:

3(a+b)-2(a-b)​

=> 3a + 3b - 2a - 2b

=> a + b

Therefore, a + b is our answer

Answer:

a + 5b

Step-by-step explanation:

3(a + b) - 2(a - b) ← distribute both parenthesis

= 3a + 3b - 2a + 2b ← collect like terms

= a + 5b

Answer:

-3xy^3 (7xy^2z-4y-12)

Step-by-step explanation:

Simply factor out "-3xy^3." GL!

Answer:

so in both you can see that 7xy is common . Thus it is a common factor.Step-by-step explanation:

Answer:

Step-by-step explanation: Y=6 is 36 if u subtract from 6 and add 20 plus 7