Which expression is equivalent to 2 (t - 4) + 1

Answer:

y = 3x

2y + 2x = 85

x = 10 5/8 y = 31 5/8

Step-by-step explanation:

Let’s say that y = length and x = width. We know that the length is 3 times the width (y = 3x) and the perimeter of the rectangle is 85 (2y + 2x = 85). To solve the system of equations, substitute y = 3x into the other equation. This results in the equation 2(3x) + 2x = 85. We now simplify the equation. 6x + 2x = 85 8x = 85 x = 10 5/8.

Now that we know x, we can substitute it into either equation to solve for y. y = 3(10 5/8) y = 31 5/8

The  system of equation which represent the given situation is 85 = 8x.

And the length and width of the rectangle is 36.86 and 10.62unit respectively.

Perimeter is the distance around the edge of a shape.

[tex]P = 2(l+w)[/tex]

where,

P is the perimeter of the rectangle

l is the length of the rectangle

w is the width of the rectangle.

According to the given question here:

We have,

The perimeter of the rectangle is 85 unit.

Let the width of the rectangle be x unit.

Then, the length of the rectangle be 3x.

Therefore, the equation which represent the situation is given by

85 = 2(x + 3x)

⇒85 = 2(4x)

⇒ 85 =8x

⇒ x = 85/8 = 10.62unit

⇒ 3x = 10.62 × 3 = 31.86 unit.

Hence, the length of the given rectangle is 31.86 unit and width is 10.62 unit .

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Answer:

ok

[tex]\pi = \frac{22}{7} or \: 3.142[/tex]

Step-by-step explanation:

[tex]c = 2\pi \: r \\ c = 2 \times \frac{22}{7} \times 15 \\ 94.28[/tex]

Answer:

C = 90 units²

Step-by-step explanation:

Since we are using 3 for π, simply substitute the information into the equation:

C = 2(3)(15)

C = 90 units²

Answer:

h

Step-by-step explanation:

Answer:

$1720 total liabilities

Step-by-step explanation:

The total liabilites are $1,720.

Liability usually means that you are responsible for something, and it can also mean that you owe someone money or services.

Now given that,

Car worth = $3,200

Loan amount = $1,400

Owe on credit card = $320

Now since liability is the money owe by someone so in the present condition.

Total liabilities = Loan amount + Owe on credit card

⇒ Total liabilities = $1,400 + $320

⇒ Total liabilities = $1,720

which is the required total liabilities.

Thus, the total liabilites are $1,720.

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Answer:

c)30%

Step-by-step explanation:

Step one:

given data

The shopkeeper said each pair of earrings cost Rs. 12

if he offered 12 pairs for Rs. 100.

let us find the cost per pair

= 100/12

=Rs. 8.3 per pair

Required

The percent discount

Step two:

%percent discount= 12-8.3/12*100

%percent discount= 3.66/12*100

%percent discount= 0.305*100

%percent discount= 30.5%

Answer:

1062882

Step-by-step explanation:

Seven digits numbers, with repetition of digits, having 6 or 9 at the last one's place :

The first six digits can be filled with 9 options each (numbers 1 to 9) , & the last digit can be filled with 2 options (number 6 & 9)

So, total 7 digit numbers as per given condition = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 2 = 1062882

Answer:

My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.

Step-by-step explanation:

Answer:

1170

Step-by-step explanation:

hey there,

(the other person just calculated each number themselves then added them up which i guess is okay but not in the long term for when you're taking a test for example or your teacher asks you this kind of question so it's better to memorize a formula.)

< There are two types of sequences: arithmetic and geometric. So also two formulas for finding sums of each. This situation is an arithmetic sequence.

Formula for the sum of an arithmetic sequence: [tex]S_n=\frac{n}{2} (a_1+a_n)[/tex]

We know there are 30 total rows so n = 30. a1 is the very first term of a sequence so this is 10 in this situation. Before we fill in the formula, we should find what an is equal to.

For this, we will use the basic formula you learned previously: [tex]a_n=dn+c[/tex]

d (the common difference) = a2-a1 = 12-10=2

c (the common ratio) = a1-d = 10-2 = 8

an = dn + c = 2(30) + 8 = 68

Now that we have found what a_n is equal to, we can plug everything into the sum equation.

[tex]S_n = \frac{30}{2} (10+68)=1170[/tex]

So 1170 is your final answer. >

Hope this helped! Feel free to ask anything else.

Answer:

B.

Step-by-step explanation:

The 6 has moved up because of addition instead of subtraction

Answer:

SHE ADDED THE COST OF THE HAIRCUT TO HER BALANCE.

Step-by-step explanation:

Instead of debited the cost of the haircut stephanie done the mistake by entering the charges of the hair cut into her balance. So due to this, the wrong entry should be recorded.

Therefore the above situation represents the situation in which she did the wrong

Hence, the same is to be considered

Answer:

15

Step-by-step explanation:

Answer:

Manu has 15.

Step-by-step explanation:

Manu picked 10 apples

He has ten

Sten gave him ten more

Manu has 20

Manu gives Klara 5

Manu has 15.

Answer:

z=-1

Step-by-step explanation:

8z+7=-15

8z=-15+7

z=-8/8

z=-1

Exact Form:

z = − 11/4

Decimal Form:

z == − 2.75

Mixed Number Form:

z = − 2  3/4

HOPES THIS HELPS YOU!!

PLEASE MARK MINE AS BRAINLIEST???

Answer:

1/(xy^2)

I hope it will be useful.

Answer:

1/x times 1/y squared

Step-by-step explanation:

Answer:

So, we know that a square has all sides equal. We need to multiply 15 by 15 to get the area of the square.

A = L x W

A = 15 x 15

   = 225cm squared

Therefore, your answer is 225cm squared.

Answer:

a=b-2

Step-by-step explanation:

Answer:

Simply put, a=b-2

Step-by-step explanation:

Subtract 2 to both sides to isolate a.

Answer:

I think it is C you should practice This is easy

Step-by-step explanation:

a)11cm

b)25cm

you do 44cm divide by 4 which equals to 11

Answer:

A-0 B-4 C-5 D-3.5 E-6 F-4.5

Step-by-step explanation:

I followed the steps

Answer:

2, 2.5, 3, 3.5, 4, 4.5

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Answer:l

Step-by-step explanation:

l

Answer:

66

Step-by-step explanation:

The total number of lockers that were full in the morning was 72. Since 6 were empty in the afternoon, 72-6 = 66 full lockers

Answer:

D

Step-by-step explanation:

The correct diagram is D.

The diagram that   shows the correct setup for an electromagnet is Option D)

The correct setup of an electromagnet involves the following steps:

1. Obtain a ferromagnetic core, such as iron, steel, or a magnetic material.

2. Wrap an insulated wire around the ferromagnetic core, forming a coil.

3. Connect the ends of the wire to a power source, such as a battery or power supply.

4. When current flows through the wire, it creates a magnetic field, magnetizing the core and forming the electromagnet.

5. The strength of the electromagnet can be controlled by adjusting the current flowing through the wire.

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Answer:

$16.62 each

Step-by-step explanation:

First, find 20% of the bill to figure out how much the tip is worth:

20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08

Now that we know the tip is $11.08, next add it on to the bill:

$11.08 + $55.40 = $66.48

Now divide this by 4 to split the bill evenly between the 4 friends:

$66.48 / 4 = $16.62

Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

1)

Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years

Sum = principal = p

Using the relation :

A = p(1 + rt)

2400 = p(1 + 0.06(1.5))

2400 = p(1 + 0.09)

2400 = p(1.09)

p = 2400 / 1.09

p = 2201.8348

2.)

12000 amount to 15600 at 10% simple interest

A = p(1 + rt)

15600 = 12000(1 + 0.1t)

15600 = 12000 + 1200t

15600 - 12000 = 1200t

3600 = 1200t

t = 3600 / 1200

t = 3 years

3.)

A = p(1 + rt)

x = p(1 + x/100 * 1/x)

x = p(1 + x /100x)

x = p(1 + 1 / 100)

x = p(1 + 0.01)

x = p(1.01)

x / 1.01 = p

x / (1 + 0.01)

Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

Hope this helps! (:

Answer:

You would have 10 cents.

Step-by-step explanation:

Answer:

A: product of powers

B: quotient of powers

E: negative exponent

Step-by-step explanation:

Let's evaluate to see which several rules we would be applying in each step

[tex] \frac{((-8)^4)^{-5}}{(-8)^6} [/tex]

[tex] \frac{((-8)^{4*-5}}{(-8)^6} [/tex] (power of a power)

[tex] \frac{(-8)^{-20}}{(-8)^6} [/tex]

[tex] (-8)^{-20 - 6} [/tex] (quotient of powers)

[tex] (-8)^{-26} [/tex]

[tex] \frac{1}{(-8)^{26}} [/tex] (negative exponent)

Thus, the rules of exponents we have applied to far are:

A: product of powers

B: quotient of powers

E: negative exponent

Answer:

product of powers

quotient of powers

negative exponent

Answer: (1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units

Step-by-step explanation:

The parent function is:

g(x) = IxI

And we have:

f(x) = I6x - 2I - 7

We canr rewrite f to get:

f(x) = 6*Ix - 1/3I - 7

Then, now let's define some transformations:

If we start with g(x), a translation of N units to the right is:

f(x) = g(x - N)

if we start with g(x), a translation of N units up is:

f(x) = g(x) + N

A translation down would be:

f(x) = g(x) - N

And a vertical dilation of scale factor A is written as:

f(x) = A*g(x)

Then in this case we have:

A translation to the right of 1/3 units.

A dilation of scale factor 6.

A translation down of 7 units.

And the axis of symmetry will be when the absolute value part is equal to zero, or when

6*Ix - 1/3I = 0

And that is when x = 1/3.

Then the correct option is:

(1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units

Answer:

The mass of CO2 produced by one liter of fuel is 2,200 gr/lt

Step-by-step explanation:

Proportions

To find the cross-relation between the mass of CO3 produced and the liters of fuel used we must find the unit rate of both relationships given.

We know:

The car uses 5 liters of fuel per 100 Km. The unit rate is 5/100 lt/km

The car produced 110 grams of CO2 for each kilometer traveled. The unit rate is 110 gr/Km

Since the kilometers is the common unit, we find the unit rate of CO2/fuel:

[tex]\displaystyle \frac{\frac{110}{1}}{\frac{5}{100}}=\frac{110}{1}}*\frac{100}{5}}= 110*20 = 2,200[/tex]

The mass of CO2 produced by one liter of fuel is 2,200 gr/lt

Answer:

Angle CDB would be the answer

Answer:

100

Step-by-step explanation:

Givens

WX = 4 + 3 = 7

ZY = 7 + 6 = 13

Height = 4 + 6 = 10

Formula

Area = (WX + ZY ) * height /2

Solution

Area = (7 +13)*10 / 2

Area = 20*10/2

Area = 200/2

Area = 100