Combine the like terms to create an equivalent expression. 8z + 12 + 3​

Answer:

3

Step-by-step explanation:

plug in 4 for a to get

2(4)-5

then multiply

8-5

u get 3

The answer is D. The sequence continues without end, and there is a common ratio between the consecutive terms.

From the definition of an infinite geometric sequence, An infinite geometric series is the sum of an infinite geometric sequence . This series would have no last term.

Answer:

¼(√6 + √2)

Step-by-step explanation:

We want to find cos (π/12) in surd form.

Now, cos (π/12) can be expressed as;

cos [(π/4) - (π/6)]

Now, from trig derivations we know that;

Cos (A - B) = CosACosB + sinAsinB

Thus;

cos [(π/4) - (π/6)] = cos(π/4)Cos(π/6) + sin(π/4)sin(π/6)

Now, in surd form;

cos(π/4) = sin(π/4) = (√2)/2

Cos(π/6) = (√3)/2

sin(π/6) = 1/2

Thus, Plugging in relevant values to get;

cos(π/4)Cos(π/6) + sin(π/4)sin(π/6) = ((√2)/2 × (√3)/2) + ((√2)/2 × 1/2)

This gives;

((√6)/4) + ((√2)/4) = ¼(√6 + √2)

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

Answer:

119

Step-by-step explanation:

Find 10% by dividing by 10, then halve it to get 5%. The answers are 14 and 7 accordingly.

Add them together to get 15%, which is now 21.

Take 21 off of 140 to get the answer, which is 119.

ALTERNATIVE METHOD - CALCULATOR

To solve the question using a calculator and with only one equation, multiply the number by 0.85 to find 85% of the number, and there's your answer.

Answer:

(5/2 , 1)

Step-by-step explanation:

4X – 3y = 7

4x + y = 11

———————

Multiply a -1 to the bottom equation to get the 4x as a negative so it cancels out.

4x - 3y = 7

-4x - y = -11

——————

-4y = -4

Divide by -4

y = 1

Substitute the value of y into one of the equations and solve

4x - 3(1) = 7

4x -3 = 7

4x = 10

Divide by 4

X = 10/4

Simplify by dividing by 2

x = 5/2

Therefore the answer is (5/2, 1 )

Answer:

He works from 9:30am to 12:50pm.

He takes a brake at 10:30 for 20 mins.

Now the time he works will be

(12:50 - 9:30) - 20

3:20 - 20

3:00

NOTE: TILL HERE DONT THINK THE SIGN ':' IS USED FOR RATIO, ITS USED AS IN TIME. AND THIS MEANS THE NUMBER BEFORE ':' IS HOURS AND THE NUMBER AFTER THE ':' WILL BE MINUTES.

i.e., 3 hours.No. of pots decorated in 3 hours will be,

3 hours in minutes÷time taken to decorate one pot.

⇒ (3×60)÷12

⇒ 180÷12

⇒15

Thus he decorates 15 pots in the given time.

Jasper decorates [tex]15[/tex] pots on Tuesday.

There are [tex]60[/tex] minutes in [tex]1[/tex] hour . To convert from minutes to hours, divide the number of minutes by [tex]60[/tex].

How many flower pots does Jasper decorate on Tuesday?

He works from [tex]9:30[/tex] am to [tex]12:50[/tex] pm.

He takes a break  [tex]10:30[/tex] for [tex]20[/tex] mins.

Now the time he works will be

[tex]3:20 - 20\\3:00[/tex]

i.e., 3 hours. No. of pots decorated in 3 hours will be,

3 hours in minutes ÷time taken to decorate one pot.

⇒ (3×60)÷12

⇒ 180÷12

⇒15

Thus he decorates [tex]15[/tex] pots in the given time.

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Answer:

  [tex]cos(a-b) = \frac{117}{125}[/tex]

Step-by-step explanation:

Explanation

Given that

 [tex]sina = \frac{7}{25} , cos a = \frac{24}{25} , sinb =\frac{3}{5} and cosb =\frac{4}{5}[/tex]

Cos(a-b) = cosa cosb + sina sinb

             [tex]cos(a-b) = \frac{24}{25} \frac{4}{5} +\frac{7}{25} \frac{3}{5}[/tex]

            [tex]cos(a-b) = \frac{96}{125} +\frac{21}{125} = \frac{117}{125}[/tex]

Final answer:-

 [tex]cos(a-b) = \frac{117}{125}[/tex]

Answer:

6x+5y

Step-by-step explanation:

Combining like terms (x and y)

we get

30x-24x=6x

6y-y=5y

=> 6x+5y

Answer:

perimeter = 56 in

area = 192 in

Answer:

5

Step-by-step explanation:

First, find the equation of the line:

put it in the form y = mx + b where m is the slope and b is the y-intercept

You already have m = 2, so y = 2x + b.

Then, since you know (1, 3) is a solution so you can plug x = 1 and y = 3 into the equation to find out what b is.

3 = 2 * 1 + b

3 = 2 + b

1 = b

This means the equation of the line is y = 2x + 1.

Then, since you're trying to find out what y is when x = 2, you can plug in x = 2 into the equation:

y = 2 * 2 + 1

y = 4 + 1

y = 5

5 is the answer

answer B

Step-by-step explanation:

you need to factor, the factor that works is (x+6)(x-5) then you put in the x values that would make the equation 0, when x is 5 (x-5) = 0 and when x is -6 (x+6) =0

Answer:

yes I can. what is the question?

Answer:

Option A

Step-by-step explanation:

[tex] 7(\frac{x}{8}) + \frac{3}{4} = - 6[/tex]

Next step is :

[tex]7 \times \frac{x}{8} + \frac{3}{4} = - 6[/tex]

[tex] \frac{7}{8} x + \frac{3}{4} = - 6[/tex]

So this is equal to the another form of equation.

Answer:

b = 34

m = 5

f(t) = 5x+34

Step-by-step explanation:

f(0) = 34, so that is its y intercept.

f(t) contains (0,34) and (8,74), which can be used to find the slope:

[tex]\frac{74-34}{8-0}=\frac{40}{8}=5[/tex]

Answer:

3.75

Step-by-step explanation:

it said 2.5 batches to you need to 1.5x2 = 3    15 divided by 2 = .75

3.75

3.75 teaspoons of vanilla will be needed for 2.5 batches of cookies. If it requires  1.5 teaspoons of vanilla for one batch.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given,

It requires 1.5 teaspoons of vanilla for one batch which can be interpreted as 1 batches of cookies requires 1.5 teaspoons of vanilla.

1 batches----->1.5 teaspoons of vanilla

Using unitary method,

To calculate the number of teaspoons of vanilla needed for 2.5 batch is as follows:

1 batches----->1.5 teaspoons of vanilla

Multiply 2.5 both sides.

(1 batches)X 2.5----->(1.5 teaspoons of vanilla)X 2.5

2.5 batches----->3.75 teaspoons of vanilla

3.75 teaspoons of vanilla will be needed for 2.5 batches of cookies

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Answer:

Step-by-step explanation:

Guess you didn't mean what you wrote in that song about meeeeeeee

Answer:

the answer is 28

Step-by-step explanation:

the right angle=90

90-62=28

Answer:

$4

Step-by-step explanation:

To answer, we have to find the base unit of how much each package would cost out of a box. To do this, we divide the total amount of the box of paper by how many packages were inside:

40 / 8 = 5

So, each package costed Ms. Jones $5, while the single packages cost $5.50, so Ms. Jones saved $0.50 per package she bought, which if you multiply by 8, you get 4, so Ms. Jones saved a total of $4.

Hope this helps :)

Answer:

second option 3 squares to 6 circles

Step-by-step explanation:

Answer:

B: There are 3 squares to 6 circles.

Step-by-step explanation:

I did this question and got it right

Answer:

The price of the bicycle after the discount is 357 lei

Step-by-step explanation:

The given question says, "The bicycle costs 420 lei. Its price is reduced by 15%. How much will the bike cost after the discount."

Cost price of the bicycle = 420 lei

Discount = 15%

We need to find the price of the bicycle after the discount. It can be calculated as follows :

[tex]P=420\times \dfrac{15}{100}\\\\=63[/tex]

Price = 420 -63

= 357 lei

Hence, the price of the bicycle after the discount is 357 lei.

Answer:

Department Store:

7(18.75)+8= 139.25

Gas Station:

18.75+22= 40.75

Step-by-step explanation:

The mistake is 7x+8+x+22 should not equal 90. It should equal 180 degrees because the two angles are supplementary angles. (It forms a straight line)

Correct equation and how to solve for X:

7x+8+x+22=180

8x+30= 180

8x= 150

x=18.75

Department Store:

7(18.75)+8= 139.25

Gas Station:

18.75+22= 40.75

Answer:

1,200,000

Step-by-step explanation:

one million two hundred thousand

1,200,000

correct me if i am wrong

Answer:

4,8,12

Step-by-step explanation:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80

just keep  multiplying by 4

(hope this helps can i plz have brainlist :D hehe)

-8x-62 hope this helpssss