please help me solve this equation​

Answer:

Step-by-step explanation:

First divide 6 from the left size so it gets cancelled.

Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6

Which becomes (t + 12) = 19

Now, (t + 12) - 12 = 19

Therefore, t = 19 - 12

Answer: t = 7

(whatever you do to one side, most be done to the other side too).

To check,

6(t+12)=114

6(7+12)=114

Solve brackets first, 6(19)=114

114=114

The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

As per the given data:

To apply distributive property in  6 (t + 12) = 114

Distributive property: A (B + C) = A × B + A × C

Now for, 6 (t + 12) = 114

First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:

6 × t + 6 × 12 = 114

6t + 72 = 114

6t = 114 - 72

6t = 42

t = (42/6) = 7

Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

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Answer:

B. 6

Step-by-step explanation:

It's difficult to explain, but from the answer I got is 6

as the greatest common divisor of 48 and 42.

Answer:

B) Yes; POSN~KDAG; scale factor 5:4

Step-by-step explanation:

B) Yes; POSN~KDAG; scale factor 5:4

Same angles (If 3 are the same, the 4th is the same).

Comparing the 4 respective sides:

15/12=5/4

10/8=5/4

7.5/6=5/4

15/12=5/4

Answer:

She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job

Step-by-step explanation:

Given

[tex]x = Low\ pay\ job[/tex]

[tex]y = high\ pay\ job[/tex]

From the question, we have that:

She can only work for 20 hours.

This implies that:

[tex]x + y= 20[/tex]

To work 2ce as many hours at the high paying job than the low paying job; implies that:

[tex]y = 2x[/tex]

So, we have:

[tex]x + y= 20[/tex]

[tex]y = 2x[/tex]

Required

Number of hours at each job

Substitute [tex]y = 2x[/tex] in [tex]x + y= 20[/tex]

[tex]x + 2x = 20[/tex]

[tex]3x =20[/tex]

Solve for x

[tex]x = \frac{20}{3}[/tex]

[tex]x = 6.67[/tex]

Substitute [tex]x = \frac{20}{3}[/tex] in [tex]y = 2x[/tex]

[tex]y = 2 * \frac{20}{3}[/tex]

[tex]y = \frac{40}{3}[/tex]

[tex]y = 13.33[/tex]

She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job

Answer:

Step-by-step explanation:

hope it helps you have a good day

Answer:

::::::::::::::::::::

(-5,1)

The vertex of the parabola represented by the equation y² + 4x - 2y + 21 = 0 is (-5, 1).

The parabola is represented by the equation y² + 4x - 2y + 21 = 0.

Take the coefficient of y, which is -2, divide it by 2, and square the result:

(-2/2)² = 1

Now, we add and subtract this value inside the parentheses to maintain the equation's balance:

y² - 2y + 1 + 4x + 21 - 1 = 0

Rearranging the terms, we have:

(y² - 2y + 1) + 4x + 20 = 0

Now, the terms inside the parentheses can be written as a perfect square:

(y - 1)² + 4x + 20 = 0

Setting (y - 1)² = 0,

(y - 1)² = 0

y - 1 = 0

y = 1

Substitute y = 1 back into the equation to find the x-coordinate of the vertex:

(1 - 1)² + 4x + 20 = 0

0 + 4x + 20 = 0

4x = -20

x = -5

Therefore, the vertex of the parabola is (-5, 1).

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Answer:

Step-by-step explanation:

The first thing we need to focus on is the fact the large bag (30 cups) is 2.5 larger than the small bag. So, the first we need to do is divided 30 by 2.5, which is 12. (300/25 = 30/2.5 = 12, in case you're confused.) So the small bag has 12 cups of sugar.

What that down, we need to focus how many cakes the small bag can make, which was 9. 3/4 of a cup is left over. We can create an equation from that info, that being 9x + 0.75 = 12. Now let's solve for x.

9x + 0.75 = 12

First, subtract 0.75 from both sides. With that, we can solve for x directly.

9x = 12 - 0.75

9x = 11.25

Now, divide both sides by 9.

x = 11.25/9

x = 1.25

With that, we now know that each cake needs 1.25 cups of sugar.

With that, the last thing we need to is divide 30 by 1.25. Again, I can use powers of ten, to quickly divide 3000 by 125 (10²) to get 24 cakes.

With that done, we have our answer. 24 cakes can be made with a large bag of sugar.

I hope this helps!  (⌒ω⌒)

Answer:

1/2 base × height

Step-by-step explanation:

a triangle has three sides and if we divide it into two, we have two right angle triangle in which we are using one part. that why it is 1/2 base x height

Answer:

You legit just told yourself

Step-by-step explanation:

[tex]\frac{1}{2}*b*h[/tex] IS the equation to represent the area of a triangle.

Answer:

there are 6 outcomes

Step-by-step explanation:

there are only 6 spots, therefore it has to be 6

Answer:

Square pyramid.

Step-by-step explanation:

Pretend that all the sides are up, and then you’d know it’s a square pyramid because th e bottom is a square and when you put up the sides it’s a pyramid.

I hope this helps! Good luck!

(please give me brainliest!)

It is equal to 1 kilometer

Please mark brainliest

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

Answer:

2

Step-by-step explanation:

any expression divided by 1 remains the same

you can also calculate the factorial

Answer:

7x + 3

Step-by-step explanation:

Let's simplify step-by-step.

8x + 7 − x − 4

= 8x + 7 + −x + −4

Combine Like Terms:

= 8x + 7 + −x + −4

= (8x + −x) + (7 + −4)

= 7x + 3

Answer:

= 7x + 3

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

Answer:x/4+3

Step-by-step explanation:

8/1×1/4=8/4=2

X/1×1/4=x/4

4/1×1/4=1

Answer:

2 + [tex]\frac{1}{4} x[/tex] + 1

Step-by-step explanation:

Answer:

46 is the 15th term.

Step-by-step explanation:

In this question they have given us the function 3x + 1 to determine the 15th term in the table. X =  the input or the numbers in that column. Now we must substitute x in our function to figure out the output.

Example:

3(1) + 1 = 4

So for the output for 1 the answer would be 4. You must follow this rule for 0 and 2 as well.

For 15 we must substitute 15 for x.

3(15) + 1 = 46

So 46 would be the 15th term.

Answer:

46

Step-by-step explanation:

[tex]3x+1[/tex]

To determine the 15th term using this expression, plug in 15 as x

[tex]= 3(15)+1\\= 45+1\\= 46[/tex]

Therefore, the 15th term is 46.

I hope this helps!

Answer:

1000 / 100

Step-by-step explanation:

Answer:

ff

Step-by-step explanation:

Answer:

That's false

Step-by-step explanation:

6000(1.02)³⁶​ = 2.1 × 10¹³⁶

Answer:

A) (- 3, -4)

Step-by-step explanation:

edge 2021

Answer:

A) (-3, -4)

Step-by-step explanation:

Answer:

i think it would be a) 1/8

Step-by-step explanation:

sorry if its wrong

Answer:

oklhhhf78 yr f brainpop

Answer:

200G

Step-by-step explanation:

Answer:

Honestly I have no idea what is going on in this passage or whatever it is.

Step-by-step explanation:

Answer:

75 DVDs

Step-by-step explanation:

Unit rate: 1/5

1 week

5 dvds

15*5= 75

he has 75 dvds after 15 weeks :)

Answer:

Step-by-step explanation:

A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t

is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the

nearest whole number, and do not include units.

Answer:

10 g

Step-by-step explanation:

40/2 = 20 g

20/2 = 10 g

If half-life of a radioactive kind of tellurium is 2 months. If you start with 40 grams of it, then 10 gm of it left after 4 months.

Half-life is the time required for a quantity to reduce to half of its initial value.

Given,

The half-life of a radioactive kind of tellurium is 2 months

It started with 40 grams of radioactive kind of tellurium

As given, half is for two months

In first two months it becomes 20 gm

40/2= 20gm

In second two months the 20 gm is reduced by half

20 gm/2=10gm.

Hence, 10gm of radioactive kind of tellurium is left after 4 months.

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Answer:

0.5

Step-by-step explanation:

so the slope is also known as the gradient in y=mx+c

Answer: 6 days too be exact

Step-by-step explanation:

Answer:

33.333 months

Step-by-step explanation:

25,000-5,000=20,000

20,000/600=33.333

If he payed $5,000 upfront, the he only has $20,000 remaining to pay. If he is paying $600 a month then you divide the $20,000 by the $600 to 33.333 months. Hope this helps

Answer:

£3446.05

Step-by-step explanation:

the interest for the first year

=£3200×2.5%

=£3200×2.5/100

=£80

the balance

=£3200+£80

=£3280

the interest for the second year

=£3280×2.5%

=£3280×2.5/100

=£82

the balance

=£3280+£82

=£3362

the interest for the third year

=£3362×2.5%

=£3362×2.5/100

=£84.05

the balance

=£3362+£84.05

=£3446.05