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Penny deposits $74 into her bank account. This puts her balance at $225. How much money did Penny have in hel Dan
account before her deposit?
$225 = $74+ m
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m = $
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Answer:

There is no way to solve this for x or y, as only one relationship between those variables is provided.  We can, however simplify that expression.

6x + 5 - 4y - 2x + y

group like terms:

= 6x - 2x - 4y + y + 5

add like terms together

= 4x -3y + 5

And that is as much as can be done with just that expression.

The simplest form of the given equation 6x+5-4y-2x+y is 4x - 3y + 5.

A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Given an expression 6x+5-4y-2x+y

simplifying it

=> 6x -2x -4y + y +5

(adding terms with same variable)

=> 4x - 3y + 5.

therefore, the simplest form of the given equation is 4x - 3y + 5.

Learn more about simplification here:

brainly.com/question/24242989

#SPJ2

Answer:

Yes

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

Answer:

Yes

Step-by-step explanation:

The relationship between y and x is:

y=1/4x, because when

x=4, y=1

x=8, y=2

x=12, y=3

x=16, y=4

Answer:

Area = 342[tex]cm^2[/tex], Perimeter = 22.79 cm

Step-by-step explanation:

First, divide the shape into 3:

An arc, a square, and a triangle.

Dimensions of shapes:

Arc:

Degree = 40°

Arms = 4 cm

Square:

All sides are 4 cm

Triangle:

base = 3 cm

height = 4 cm

hypotenuse = 5 cm

To get perimeter:

Arc length = [tex]\frac{40}{360} * (2*\pi * (4))[/tex]   (4 is the arm length ) = 2.7925 cm

Arc arm = 4 cm

Square sides (only two are outside) = 2 * 4 = 8 cm

Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm

So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm

To get area:

Arc area (the pizza shape) = [tex]\frac{40}{2\pi } * \pi * (4)^{2}[/tex]   (4 is the arm length) = 320 [tex]cm^{2}[/tex]

Square area  = side * side = 4 * 4 = 16 [tex]cm^{2}[/tex]

Triangle =  (1/2) * base* height = (1/2) * 3 * 4 = 6[tex]cm^{2}[/tex]

So total area is 320 + 16 + 6 = 342[tex]cm^2[/tex]

Answer:

Area=27.58 cm^2

Perimeter =22.29cm

Step-by-step explanation:

The shape consists of a sector and a trapezium

For area= area of sector +area of trapezium

[θ/360*πr^2]+[1/2(a+b)h]

[40/360*3.14*4^2]+[1/2(4+7)4]

5.58+22

27.58cm^2

For perimeter = perimeter of sector +perimeter of square +perimeter of triangle

[θ/360*2πr]+[4s]+[1/2(a+b)]

[40/360*2*3.14*4]+[4*4]+[1/2(4+3)]

2.79+16+3.5

22.29cm

Answer and Step-by-step explanation:

Simply use triangles to find the length of the lasers.

The first triangle consists of the sides of 12 inches, 18 inches, and the laser (which is the hypotenuse).

Use the Pythagorean theorem to solve for the hypotenuse.

([tex]a^{2}+ b^{2} = c^{2}[/tex])

[tex]12^{2} +18^{2} = l^{2} \\\\144 + 324 = l^{2} \\\\468 = l^{2} \\\\Square-root-both-sides\\\\\ \\\sqrt{468} = l[/tex]

l ≈21.633

Now, we solve the other triangle.

[tex]9^{2} +6^{2} = l^{2} \\\\81 + 36 = l^{2} \\\\117 = l^{2} \\\\Square-root-both-sides\\\\\sqrt{117} =l\\l = 10.8167[/tex]

Now, add those two hypotenuses.

21.6333 + 10.8167 = 32.45

32.45 rounds up to 32.5

32.5 is the total distance the laser beam travels.

#teamtrees #WAP (Water And Plant)

Answer:

Step-by-step explanation:

no

Weight of slab of beeswax isn't given.

Assume slab of beeswax = 36 gram.

Answer:

3 gram

Step-by-step explanation:

Each slab of beeswax = 36 gram

Total weight of all 3 slabs = (3 * 36) = 108 g

Number of same-sized candles to make = 36

The weight of each candle will be ;

Total weight of slabs / number of candles

108 g / 36

= 3 grams

Answer:

$3,700

Step-by-step explanation:

16% of 2500=400

400×3(years)=1,200

2500+1200=3700

Answer:

4368 m

Step-by-step explanation:

13x6x8x7=4368

Answer:

B. Lease

Step-by-step explanation:

Cash has value

A vehicle has value

A house has value

But a lease itself does not have value

Asset is something you own that has value

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

a) 34.3%

b) 49%

Step-by-step explanation:

In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..

70% / 100 = 0.70

Now we multiply all of them together and multiply the product by 100 to get the percentage.

0.70 * 0.70 * 0.70 = 0.343

0.343 * 100 = 34.3%

34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities

0.70 * 0.70 = 0.49

0.49 * 100 = 49%

Answer:

The electricity is $500 and the rent is $650.

Step-by-step explanation: I think you just subtract 650 from 1150.

Answer:

Rewrite (Lambert form):

[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]

Simplify :

[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]

Solve:

[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]

Result:

[tex]x=2,\:x=1[/tex]

Hope this helped u :)

If this was too complicated I can edit it for you.

Answer:

-4/9z-7

Step-by-step explanation:

7/9z-6/9z+2-5/9z-9

=7/9z-6/9z-5/9z+2-9

=(7-6-5)/9z+(2-9)

=-4/9z-7

Answer:

b = 6 when a=12 and

c=100

Step-by-step explanation:

b = (k*a)/√c

b=5 when a=2 and c=4

5 = (k*2)/√4

5 = 2k/2

Cross product

5*2 = 2k

10 = 2k

k = 10/2

= 5

k = 5

find b when a=12 and

c=100

b = (k*a)/√c

= (5*12)/√100

= 60/10

= 6

b = 6

Answer:

a

Step-by-step explanation:

7/9 * 10/9 * 0.62 =

(7 * 10 * 62) / (9 * 9 * 100)

Multiply

4340 / 8100

Simplify by dividing by 20.

217/405 (about 0.535)

This is less than 2/3 (about 0.66), so it has to be "a" because all the other options are greater than 2/3

Answer:

y=70 x=20

Step-by-step explanation:

Answer:

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

Step-by-step explanation:

x y = x + 2 Ordered pair

0 0 + 2 = 2 (0, 2)

1 1 + 2 = 3 (1, 3)

2 2 + 2 = 4 (2, 4)

this is probably not right but i gave an an example

:)

Answer: See explanation

Step-by-step explanation:

a. The amount that the agency make on the​ house will be 25% of $360,000. This will be:

= 25% × $360,000

= 25/100 × $360,000

= 0.25 × $360,000

= $90,000

b. The amount that the agent earn in​ commission will be:

= 30% × $90,000

= 30/100 × $90,000

= 0.3 × $90,000

= $27,000

Answer:

the amount left is 16.2

Step-by-step explanation:

The computation of the amount of money spend is shown below;

Given that

Total money available $20

This week 10% would be put in piggy bank

and, in next week 10% of the money would be put again in piggy bank

So the money left is

= $20 - $20 × 10% - ($18 × 10%)

= $20 - $2 - $1.8

= $16.2

Hence, the amount left is 16.2

Answer:

27607.3619632 meters per hour

Step-by-step explanation:

She was running 7.6 m/s 3600 seconds in a hour

3600x7.6=27607.36

Answer:

74% 3/4 and .76 just like that

atStep-by-step explanation:

Answer:

10√2

Step-by-step explanation:

This is a 45-45-90 triangle which means that the two non-hyptonouse lenghts are the same which means that the bottom lenght of the triangle is also 10 units

We can then use a^2+b^2=c^2 to solve for the last side

so we have

10^2+10^2=x^2

200=x^2

sqrt200=x

and I see that they want an exact answer so you simplify sqrt200 to

10√2

Answer:

You can add your question to your question or add a picture to it.

Step-by-step explanation:

Answer: you ask questions and answer stuff like the way I’m doing oh and welcome :’

Step-by-step explanation:

Answer:

x=  -7

Step-by-step explanation:

have a good day

Step-by-step explanation:

- 5 (x - 1) = 40(Multiply -5 by the values in the bracket)

-5x + 5 = 40(Subtract 5 on both sides)

-5x = 40 - 5

-5x = 35 (Divide both sides by -5)

x=-7

Answer:

a5 = 2

Step-by-step explanation:

If a1 = 32,

a1 = 1/2 a0 = 32

a0 = 64

With that, we know that

a0 = 64,

a1 = 32

so, a2 is definitely 16. From that, we may know the formula,

an = a0 (1/2)^n

a5 = a0 (1/2)^5

a5 = 64 (1/32)

a5 = 2

Answer:

1) The problem asks for the number of boxes than can be made from the yarn.

2) There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) We need to divide the total length of yarn by the length used to produce a box.

4) 20 boxes.

5) Gina can make 20 boxes from 90 meters of yarn.

Step-by-step explanation:

1) What is asked?

R/ The problem asks for the number of boxes than can be made from the yarn.

2) What are the given facts?

R/ There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) What is the operation to be used?

R/ We need to divide the total length of yarn by the length used to produce a box.

[tex]x = \frac{90\,m}{\frac{9}{2}\,m }[/tex]

[tex]x = 20[/tex]

4) What is the number sentence?

R/ 20 boxes.

5) What is the complete answer?

R/ Gina can make 20 boxes from 90 meters of yarn.

Answer:

V=1.3(repeating)A+1.3(repeating)M

Answer:

y = 23

x = 28

Step-by-step explanation:

Find y first.

3y + 5y - 4 = 180                     The two angles are supplementary if the all the lines are parallel.  Combine the left side.

8y - 4 = 180                              Add 4 to both sides

8y - 4 + 4 = 180 + 4

8y = 184                                   Divide both sides by 8

y = 23

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

Now if the lines are parallel, then 3y = 2x + 13

But we already know y

3*23 = 2x + 13                         Do the multiplication

69 = 2x + 13                             Subtract 13

56 = 2x                                    Divide by 2

x = 56/2

x = 28

Answer:

y = 23

x = 28

Step-by-step explanation:

Shoooooot i am so late with this answer, so so sorry haha-

and i'm no gonna do the explanation because the guy above me did a fairly well explanation of how i solve them too.

uhm, have a good day!