Write a sentence as an equation using the given information in each problem.

1. Write the sentence as an equation.
the product of 371 and ​d​ is the same as 52

2. Write the sentence as an equation. n​ decreased by 320 is equal to 139

3. Write the sentence as an equation. 317 is equal to ​k​ plus 110

4. Write the sentence as an equation.
the total of 374 and ​k​ is the same as 305

5. Write the sentence as an equation. 398 is the same as ​d​ plus 6

Answer:  

Total interest = $28.72

New balance = $ 387.72

Explanation: Tarah has $359 in the bank. To find the amount of interest, multiply 359 by .08.

She gets $28.72 interest annually.

In one year, she will make $387.72.  (Add the total interest to her original balance)

Plz mark brainliest:)

Answer:

this is a negative slope.

Step-by-step explanation:

Answer:

after 2 weeks

Step-by-step explanation:

y=20x (savings account)

y=65x (checking account)

20*2 is 40. 115+40 is 155

45*2 is 90. 65+90 is 155

Answer:

b

Step-by-step explanation:

if you mean squared and not square root, then it would be b because if you factor it back out, you will get the original expression back because of the subtraction of perfect squares.

Answer:

Step-by-step explanation:

[tex](7+2u) (7-2u)=(7)(7)+(7)(-2u)+(2u)(7)+(2u)(-2u)=\\\\=49-14u+14u-4u^2=\ \underline{49-4u^2}[/tex]

Answer:

5x(x+4)(2x+1)(2x−1)

Step-by-step explanation:

Answer:

If you call the smaller integer "x" and the greater integer "y", then:

x+y=3x-11             The sum of the two is 11 less than 3 times the smaller

y=x+1                    Because they are consecutive, the greater must be 1 more than the smaller

Then you can solve for x:

x+(x+1)=3x-11       Substitute x+1 for y

2x+1=3x-11            Combine like terms

2x+12=3x               Add 11 to both sides

12=x                      Subtract 2x from both sides

The smaller integer is 12, thus the greater integer is 1 more or 13.

Check:

12+13=3(12)-11

25=36-11

25=25                       Yes, so the integers are 12 and 13

Step-by-step explanation:

thats pretty much it

Answer:

C = t * 3

Step-by-step explanation:

Answer:

14 and 35 I believe.

Since the GCF of 14 and 35 is 7, the LCM is 70 (14×5 and 35×2), they both have 2 digits, and one is even (14) and the other is odd (35).

I hope this helped!

The mystery pair would be required for numbers 14 and 35.

The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We need to write 70 as the product of its prime factors, which is 70.

⇒ 2 × 5 × 7

14 × 5 and 35 × 2

Given that the GCF of the mystery pair is 7

And the LCM of the mystery pair is 70.

Here the GCF of 14 and 35 would be 7

As per the given condition,

The required numbers in the pair have two digits,

Therefore, the even number is 14, and the odd is 35.

Hence, the mystery pair would be required for numbers 14 and 35.

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Answer:

39

Step-by-step explanation:

Answer:

32.4825

hope this helped :)

Answer:

7.5

Step-by-step explanation:

i hope this helps!!

Answer:

2,1 .     4,4 .     5,2

Step-by-step explanation:

Answer:

a' (2,1)

b'(4,4)

c'(5,2)

(x,y)→(x+1,y+4)

Step-by-step explanation:

So the <a'b'c' is <abc translated 1 unit to the right and 4 units up. Whenever it says to move to the right or the left it has to do with the x axis. When you move to the left its subtraction and when you move to the right you addition.

When ever is say to move up or down it has to do with the y-axis. when you move up its addition and when you move down its subtraction. Sooo since the question said to move it to the right and up theyre both going to be addition. Thats why in the translation theyre both addition sign.

Im really bad at explaining things but hope this helps:)

80 times farther from the Sun is Neptune than Mercury.

Given that, the distance between Mercury and Sun = 35,000,000 miles and the distance between Neptune and Sun = [tex]2.8\times10^9[/tex].

An average distance is the average of the greatest and least distances of a celestial body from its primary.

Now, number of times farther from the Sun is Neptune than Mercury

= [tex]\frac{2.8\times10^9}{3.5\times10^7}[/tex]

=0.8×10²

=80

Time taken for light to reach Neptune = 3×80=240 minutes

=4 hours

Therefore, 80 times farther from the Sun is Neptune than Mercury.

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Answer:

they add one half to each number

Answer:

i think you did it right :)

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Don't worry about anything you got it. Great work!

If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.

162 / 10 is approximately 16.

16 × 2 = 32

32 + 77 = 109 career home runs

Using the slope intercept relation, the required equation and the number of home runs at season end would be ;

Recall :

Slope, b = 2 home runs per 10 games = 2/10 = 0.2

The expression can be represented thus:

Number of home runs at the end of the season :

x = 162

y = 0.2(162) + 77

y = 32.4 + 77

y = 109.4

y = 109

Hence, Total number of hime runs would be 109.

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Answer:

12.6

Step-by-step explanation:

The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,

left triangle : right triangle

ratio = 25 : 17.5

The bottom sides are also in the same ratio.

ratio = 18 : w

Write a proportion by setting the ratios equal and solve for w.

25/17.5 = 18/w

Cross multiply.

25w = 17.5 * 18

25w = 315

w = 12.6

Answer: 12.6

Answer:

3/5 as a percent is 60% hope that helps

Answer:

s(6)×t(6)

hope this helps

Answer:

The two singers will charge the same amount for money at 3.53 hours

Step-by-step explanation:

Let the number of hours be represented by y

Ida needs to hire a singer for her wedding.

Singer A is offering his services for an initial $80 in addition to $13.35 per hour.

= $80 + $13.35(y)

= 80 + 13.35y

Singer B is offering her services for an initial $86 in addition to 11.65 per hour.

= $86 + $11.65 × y

= 86+ 11.65y

When will the two singers charge the same amount for money?

Singer A = Singer B

80 + 13.35y = 86+ 11.65y

Collect like terms

= 13.35y - 11.65y = 86 - 80

1.7y = 6

y = 6/1.7

y = 3.5294117647 hours

Approximately = 3.53 hours

The two singers will charge the same amount for money at 3.53 hours

Answer:

Okay this might be slightly confusing but I'll try to make it simple. x = -10

Step-by-step explanation:

-4 ( 3x - 7 ) + 5x = -2x + 8 1. get rid of parenthesis first. -4 times 3x = -12x and -4 times -7 is 28

-12x + 28 + 5x = -2x + 8 2. Combine any like terms on each side of the equation. -7x + 28 = -2x + 8 3. Get rid of the smallest x value by adding to both sides -7x

+7x +7x

28 = -2x + 8 4. subtract 8 from both sides to get rid of it. (you wanna get x alone)

-8 -8

20 = -2x 5. Divide both sides by -2 to get 1x (which is x)

/-2 /-2

x = -10

Answer:

i would wanna say the first one

Step-by-step explanation:

∆GAS ≅ ∆IOL by rule ASA , SAA

We say that ∆GAS ≅ ∆IOL because m∠G = m∠I , m∠A = m∠L and AS = LO ( which means that these triangles are congruent under the ASA or SAA congruence postulate . )

Therefore ,

Answer:

A

Step-by-step explanation:

Speed= Distance/time

20m/10s=2 m/s

Answer:

To keep my head up and focus on the good instead of the bad. To understand that life gets hard. I would remind myself that I'm worth it and I am a strong person. I would tell myself that whatever bad happens, something good will come out of it. To remind myself that all the bad I've been through is only making me a stronger person. And I would remind myself that everything happens for a reason, whether I see it now or I see it later on down the road. I would remind myself that it's never too late to change for the better. I would tell my self "you made it this far, your strong". And I would tell myself that I can do whatever I put my mind to. And that nothing is impossible.

Hope this helps :)

Step-by-step explanation:

If someone could travel back in time one year, the advice I would give myself would be to embrace change and adaptability. The world is constantly evolving, and it is important to stay open-minded and flexible in order to thrive.

I would encourage myself to be proactive in seeking opportunities for growth and learning, even if they seem daunting or unfamiliar at first. Additionally, I would remind myself to prioritize self-care and mental well-being. It is easy to get caught up in the hustle and bustle of daily life, but taking time for oneself is crucial.

Whether it be spending time in nature, practicing mindfulness, or pursuing hobbies and interests, nurturing my own happiness should be a priority. Lastly, I would advise myself not to dwell on past mistakes or missed opportunities.

Every setback is an opportunity for growth, and it is important to learn from these experiences rather than letting them define me. By adopting a positive mindset and focusing on the present moment, I can ensure that I make the most of every opportunity that comes my way.

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Answer:

Minimum, Vertex(1,-7) and sorry what do you mean by aos? i dont get that please type in the comments I'll answer that too. Hope you understand the rest

Step-by-step explanation:

The vertex of a parabola means the stationary point/turning point which is denoted by the following:

[tex]x=\frac{-b}{2a} \\[/tex]

and for y we just simply put the value of x that we get into the equation so lets get started

The equation [tex]y=x^2-2x-6[/tex] is a quadratic equation

and if we compare it by the standard form [tex]y=ax^2+bx+c[/tex] we get the following values

a=1 , b=-2 , c=-6

and now for the vertex

[tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-(-2)}{2(1)} \\x=\frac{2}{2} \\x=1[/tex]

and now for y

[tex]y=x^2-2x-6\\y=(1)^2-2(1)-6\\y=1-2-6\\y=-7[/tex]

so the vertex is (1,-7)

and the graph is minimum not maximum because the value of a is greater than 0 if the value of a>0 then the graph is minimum and if the value of a<0 meaning a is negative the graph is maximum and here in the equation a=1 which means a>0 then our graph is minimum.

Answer:

hey we were talking in the comment section with someone else 16 min ago and that chat maxed out so he made another one and wants you to come back. Just letting you know.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;

1, 2, 4...

The nth term of an arithmetic sequence is expresses as;

[tex]T_n = ar^{n-1}[/tex] where;

a is the first term

r is the common ratio

n is the number of terms

To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).

from the sequence above;

a = 1

r = 2/1 = 4/2 = 2

T4 = 1(2)^{4-1}

T4 = 2^3

T4 = 8

Hence the hydra will have 8 heads on the third day.

To know the number of heads at the end of 10 days, we will find the 11th term of the progression

T11 = 1(2)^{11-1}

T4 = 2^10

T4 = 1024

He will have 1024 heads after 10 days of trying to kill the monster.

The number of heads that would the Hydra have on the third day is 8

And, at the end of 10 days of trying to kill it is 1024.

a = 1

r = 2 by 1 = 2  

T4

= 8

So the hydra will have 8 heads on the third day.

Now  

To know the number of heads at the end of 10 days, we will determine the 11th term of the progression

= 1024

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Answer:

The correct answer is A

Step-by-step explanation:

Answer: [tex]x \geq 3[/tex]

The graph has a closed circle pointing to the right

The area of rectangle ABCD with the given vertices is: 8 units².

Area of rectangle = (length)(width).

Given the following vertices:

Area = (length)(width) = (AB)(BC)

AB = |-2 - 6| = 8 units

BC = |2 - 3} = 1 unit

Area of rectangle = (8)(1) = 8 units².

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Answer: 8

Step-by-step explanation: