Learning Task 2: If a represents Arkin’s present age, how would you express each of the following in terms of variable a? Write the answer in your notebook.
1. Arkin’s age 5 years ago
2. Thrice Arkin’s age
3. His age after 4 years
4. Two-thirds his present age
5. Twice his age after 3 years

Answers

Answer 1

Answer:

1. a - 5 years

2. a × 3 =3a years

3. a + 4 years

4. 2|3×a = 2a|3 years

5. 2×a+3 = 2a+3 years


Related Questions

Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?

Answers

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

(x + p) (x + p) = x² + 2px + p²

If the radius of a sphere is 6cm, then it’s volume is____

A. 288pi cm^3
B. 576pi cm^3
C. 72pi cm^3
D. 36pi cm^3

Answers

Answer:

[tex]A. \: 288\pi( {cm}^{3} )[/tex]

Step-by-step explanation:

Hint:

Formula = [tex] \frac{4}{3} \pi {r}^{3} [/tex]Radius = 6 cm

Simplify:

[tex] \frac{4}{3} \pi (radius {)}^{3} [/tex][tex] \frac{4}{3} \pi \times {6}^{3} [/tex][tex] \frac{4\pi}{3} \times 216[/tex][tex]4\pi = \frac{216}{3} [/tex]

[tex]4\pi \times 72[/tex]

[tex]288\pi( {cm}^{2} )[/tex]

Hope it is helpful....

What is the length of KL?
A 24
B 37
C 33
D 12

Answers

Answer: 37

Step-by-step explanation

Total perimeter = (4x + 1) + (x + 3) + (x + 3) + (4x + 1)
= 10x + 8

10x + 8 = 98
This is because the perimeter of this rectangle is 98 so I have made it equal to the algebraic perimeter.

Now, we can solve the equation to get a value for x.

10x + 8 = 98
10x = 90
x = 9

Now, we substitute x into 4x + 1
4(9) + 1 = 37

What is the slope of the equation: y = -3x + 7

Answers

Step-by-step explanation:

tan‐¹ –3 I guess

Correct me if I am wrong

Answer:

-3

Step-by-step explanation:

in y=mx+b, m is the slope. There for -3 is the slope.  

A standard American deck of cards contains 52 cards in four “suits”:
♣ clubs
♦ diamonds
♥ hearts
♠ spades
Each card also has a “rank”. There are 13 ranks: 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king), A(ace). Every suit-rank combination occurs in the deck, so a typical card might be called “the 7 of clubs” or “the queen of hearts”. Suppose we shuffle a deck (meaning that we put the cards in random order), then we draw a card
off the top. What is the probability that this card has an even number on it? (Jacks, queens, kings, and aces do not have numbers on them.)

I need the answer quickly pls

Answers

Answer:

5/13

Step-by-step explanation:

We can first start by finding the number of even numbers in one suit and then multiply by 4. The even numbers are:

2, 4, 6, 8, 10

There are 5, and since there are 4 suits, there is a total of 20 even cards.

Probability is equal to the amount of desirable outcomes over the total number of outcomes. The desirable outcomes are when we pull out an even number, and as we calculated earlier, there are 20 of those. There are 52 total cards, so that is the number of total outcomes. We get the expression:

20 / 52 which simplifies to 5/13

Need help with this question please!!

Answers

Answer:

11.1

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} =c^{2} \\AB^{2} +BC^{2} =AC^{2} \\AB^{2} +19^{2} =22^{2} \\\\AB^{2}=22^{2}-19^{2\\AB=\sqrt{123} \\AB=11.1[/tex]

Abby and Bill share a 20-ounce bucket of clay. By the end of the week, Abby has used

1/10

of the bucket, and Bill has used

2/5

of the bucket of clay. How many ounces are left in the bucket?

Answers

Answer:

A little brain/willpower.....Im sure you can figure it out!!!

When the rate is Rs 210 per piece, a certain sum of money can buy 16 pieces of
Tshirts. If the rate increases to Rs. 280 per piece, how many pieces of T-shirts
can be bought with the sum?​

Answers

Answer:

12 pieces of T-shirts can be bought with the sum.

Step-by-step explanation:

Given that:

The rate is Rs 210 per piece, a certain sum of money can buy 16 pieces of T-shirts.

To Find:

If the rate increases to Rs. 280 per piece, how many pieces of T-shirts can be bought with the sum?

Let us assume:

x pieces of T-shirts can be bought with the sum.

Finding the number of T-shirts bought:

According to the question.

Rate × Pieces of T-shirts = Rate × Pieces of T-shirts

⟶ 210 × 16 = 280 × x

⟶ 3360 = 280x

⟶ x = 3360/28

⟶ x = 12

Hence,

If the rate increases to Rs. 280 per piece, 12 pieces of T-shirts can be bought with the sum.

The length of one leg of a right triangle is 20.3 centimeters. The length of the hypotenuse is
30.7 centimeters. Which is closest to the length of the other leg?

Answers

Answer:  Approximately 23.0 cm

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

Work Shown:

a = 20.3

b = unknown

c = 30.7

Apply the pythagorean theorem to find b

a^2 + b^2 = c^2

(20.3)^2 + b^2 = (30.7)^2

412.09 + b^2 = 942.49

b^2 = 942.49-412.09

b^2 = 530.4

b = sqrt(530.4)

b = 23.0304146727757  value is approximate

b = 23.0

I rounded to one decimal place because the other values (20.3 and 30.7) were to one decimal place.

pls answer due in a few

Answers

Answer:

Step-by-step explanation:

2x² + 7x + 3 = 0

a = 2 , b = 7 , c = 3

D = b² - 4ac = 7² - 4(2)(3) = 49 - 24 = 25 = 5²

Given equation has 2 real solutions (C)

the answer is c (2 real solution)

Select the correct text in the passage.
In this excerpt from A Christmas Carol by Charles Dickens, which sentence indicates that Scrooge formed relationships primarily for selfish
reasons?
"I don't mind going if a lunch is provided," observed the gentleman with the excrescence on his nose. "But I must be fed, if I make one."
Another laugh.
"Well, I am the most disinterested among you, after all," said the first speaker, "for I never wear black gloves, and I never eat lunch. But I'll offer
to go, if anybody else will. When I come to think of it, I'm not at all sure that I wasn't his most particular friend; for we used to stop and speak
whenever we met. Bye, byel
Speakers and listeners strolled away, and mixed with other groups. Scrooge knew the men, and looked towards the Spirit for an explanation.
The Phantom glided on into a street. Its finger pointed to two persons meeting. Scrooge listened again, thinking that the explanation might lie
here.
He knew these men, also, perfectly. They were men of business: very wealthy, and of great importance. He had made a point always of standing
well in their esteem: in a business point of view, that is strictly in a business point of view.

Answers

Answer: it's the last

Step-by-step explanation:

PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

1

14

The answer is one over fourteen because there are 8 white eggs (remember the 10 brown eggs), and half of them (the white ones) are cracked, so four. And, if you randomly grab an egg, there is 1/14 of a chance you could grab a cracked, white, egg.

This is what I have so far I just need the last step

Answers

Answer:

-2

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

-6/3=-2

find equation so EASY PLZ HELPPP URGENT WILL GIVE BRAINESD MARK 11+ POINTS

Answers

Answer:

y= -4x+4

Step-by-step explanation:

there you go!!!

Answer:

m= -4 would be the equation

Step-by-step explanation:

HELP ME PLEASE IHDGYSKHJN

Answers

Answer:

b.39

Step-by-step explanation:

312 divided by 8 is 39

Answer:

312 divided by 8 = 39, B is your answer

Step-by-step explanation:

You need to spread the books equally amongst the 8 shelves there are. Which means you divide.

Plz help will mark brainliest

Answers

Answer:

the correct answers are A B C E

please answer accurately with a full explanation and please don't do short answers thank u, and if u spam this question u will be reported. please answer with a proper answer, not a short one thank u so much

Answers

Answer:

When buying a backpack you want to pick the one with the greatest volume. Backpack A has the highest volume (5200) which means that it's the backpack that will allow me to fit the most stuff.

Step-by-step explanation:

This questions i just asking which bag has the greatest volume

the formula for that is just l*w*h

calculate the volume for each backpack:

a: 26*20*10=5200

b: 32*16*8=4096

c: 28*14*12= 4704

We can see that backpack A has the greatest volume, so we should pick it.

You want to fill up a jar with lemonade.
Is this the characteristic of total surface area or volume?

Answers

volume because of weight and surface

Find the area of the figure.
4 in.
-6 in.
6 in.
10 in.

Answers

Answer:

68 in

Step-by-step explanation:

Find area of the rectangle - 6 x 10 = 60

Find area of the triangle (Formula - 1/2(base)(height)) - 1/2(4)(6) = 8

Add them - 60 + 8 = 68

Mr lance designed a class banner shaped like a the polygon shown. What is the name of the polygon?

Answers

Answer:

hexagon

Step-by-step explanation:

i g

Write the equation of the line that goes through the point (-2, 8) with a slope of 1/2

Answers

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y  = 1/2x + 9


1. Find six rational numbers between 2/7 and 5/2​

Answers

Answer:

5/14

6/14

7/14

8/14

9/14

10/14

Step-by-step explanation:

We need to find the six rational numbers between 2/7 and 5/2. Firstly convert the fractions into like fractions.

LCM of 7 & 2 = 14

=> 2/7 = 2×2/7×2 = 4/14

=> 5/2 = 5 ×7/2×7 = 35/14

Therefore the six rational numbers are

5/146/147/148/149/1410/14

Help I need help!!! please!!!

Answers

[tex]a.(x - 4)(x - 9) = x {}^{2} - 9x - 4x - 36 = x {}^{2} - 3x - 36[/tex]

Question 6: Write an equation for the parabola with vertex (2, 5) and focus (-1, 5).

A. (x - 2)^2 = -12(y - 5)
B. (x - 2)^2 = -3(y - 5)
C. (y - 5)^2 = -12(x - 2)
D. (y - 5)^2 = -3(x - 2)​

Answers

D is the correct answer

What is mZPQR in radians?

Answers

Answer:

7pi/20 radians

Step-by-step explanation:

63         pi

------ x---------- =  63pi/180

1           180

63pi/180 simplified is 7pi/20 radians.

super urgent will give u 5 rating and thansk if u answer
A jar contains 12 oatmeal cookies, 13 sugar cookies and 5 chocolate chip cookies. The percent of cookies that are oatmeal is ?

Answers

Answer:

40%

Step-by-step explanation:

I added all the cookie numbers together to get 30 then I found the percentage of 12 in 30 which is equal to 40 percent

Please help due in 15 min!!!!

Answers

Answer: True

Step-by-step explanation:

2 with the exponent of 1/2 is 1.41. SQRT for 2 is also the same.

2 with the exponent of -1 is 0.5. Fraction of 1/2 is the same.

true !!!!!!!!!!! wish u the best

please answer fast and quickly

Answers

Answer:

Blue

stay safe healthy and happy...

Hello there I hope you are having an great day :) If you select a marble without looking which colour are you less likely to pick, All together there is 10 marbles.

Orange : 2/10

Black : 2/10

Green : 5/10

Blue: 1/10

The less Colour is Blue as there is only 1 Marble so it probably the less likely to be picked.

Hopefully that helps you :)

HELP! Which yd symbol is correct? I’m not sure which!!!

Answers

Answer:

yd^3

Step-by-step explanation:

Answer:

120yd^2

Step-by-step explanation:

A=BH

A= 15×8

A=120

symbol = yd^2

final answer= 120yd^2.

Henry is planning to attend a public university after he graduates from high school in 3 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $26,500. His family has promised to contribute $13,450 each year he is in school. What is the minimum amount of money Henry must contribute to his savings per month for the next 3 years to have enough money to pay for his first year of tuition?

a
$501.32
b
$362.50
c
$294.38
d
$482.35

Answers

option b) 362.50
subtract the amount his parents are giving from the original cost of tuition and the divide by the number of months he had to save
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