8. Ethan has $63 in his bank account at the
end of June. During the month of June, he
deposited $285 and wrote cheques for $85,
$41, and $9. As well, he withdrew $75
from a bank machine.
a) Write an integer to represent the
value of Ethan's bank account at
the beginning of June.

Answers

Answer 1

Answer:

-$12

Step-by-step explanation:

Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.

63+75+9+41+85-285= -$12


Related Questions

Helppppppppp meeeeeeeeeeee

Answers

100 cubed. it’s the rad symbol with the 3 and then 100 on the inside

03.
(a)
Multiply out
3(2x-7)
Answer

Answers

Answer: -42 is the answer.

Help please! I really need it

Answers

I think it’s none of those.
Radius is a line that reaches the middle of the circle, so like
——
CA

Determine the area of a parallelogram if
its base is 16 cm and its height is 7 cm.

Answers

Answer: 112 square cm

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

Work Shown:

area = base*height

area = 16*7

area = 112 square cm

----------------

Extra info (optional section):

The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.

Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.

A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?

Answers

Answer

8,98

Step-by-step explanation:

the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs

Marie made lasagna for dinner. She ate 1/6 of it, Morris ate 1/3 of it, and Larry ate 1/4 of it. How much of the lasagna was left?

Answers

Answer:

1/12 of the lasagna was left

Step-by-step explanation:

To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).

Answer:

[tex]\frac{1}{4}[/tex] of the lasagna

Step-by-step explanation:

[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]

4 = 2 × 2

3 = 3

6 = 2 × 3

LCM = 2 × 2 × 3

LCM = 12

4 × 3 × 6 = 72

[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]

[tex]\frac{18+12+24}{72}[/tex]

[tex]\frac{54}{72}[/tex]

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

GCF = 2 × 3 × 3

GCF = 18

[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]

[tex]1-\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]

In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern



A. All the numbers are odd


B.all the numbers are even


C.all the numbers are multiplies of 3

D. All of the numbers are prime

Answers

Answer is A. All numbers are odd.

Evaluate expression-What is the value of the expression when x=11 and y=7


A.4

B.128

C.49

D.14

Answers

Answer:

C. 49

Step-by-step explanation:

Start by filling in your values.

[tex]7^{2} + 99 / 11 - 9[/tex]

Solve using PEMDAS.

49 + 99 / 11 - 9

49 + 9 - 9

58 - 9

49

Answer:

[tex]c .\: \: 49[/tex]

Step-by-step explanation:

[tex] {y}^{2} + 99 \div x - 9[/tex]

[tex] {7}^{2} + 99 \div 11 - 9[/tex]

[tex] 49 +99÷11-9[/tex]

[tex]49+9-9[/tex]

[tex]58-9[/tex]

[tex]49[/tex]

Hope it is helpful...

A force of 68 N is applied to an area of 540 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.

Answers

Answer:

[tex]P=1259.26N/m^2[/tex]

Step-by-step explanation:

From the question we are told that:

Force [tex]F=68N[/tex]

Area [tex]A=540cm^2=0.054m^2[/tex]

Generally the equation for Pressure is mathematically given by

 [tex]P=\frac{F}{A}[/tex]

 [tex]P=\frac{68}{0.054}[/tex]

 [tex]P=1259.26N/m^2[/tex]

Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?

Answers

To make 90 tortillas, he needs to make 6 batches. 6*15=90
2 cups masa per batch ->. 2 * 6=12 cups Masa
1.5 water per batch -> 1.5. * 6= 9 cups water

Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

What is division?

A method of dividing something into equal parts is called division.

How to solve this problem?

Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.

Edgar wants to make 90 tortillas.

We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.

1 bunch of 15 tortillas needs 2 cups of masa.

So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.

Again 1 bunch of 15 tortillas needs 1.5 cups of water.

So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.

Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

Learn more about division here -

https://brainly.com/question/13706292

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Jaideep changes $12 000 into euros (€) to buy land in another country.

The exchange rate is €1 = $1.33.

Calculate the number of euros Jaideep receives.

A farmer sold food grains for 9200 rupees through an agent. The rate of commission

was 2%. How much amount did the agent get?

The price of a machine depreciates at 10% every year. If the present value of the

machine be Rs.100000, what will be its value after 3 years?


Lucinda invests $500 at a rate of 5% per year simple interest.

Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK​

Answers

exercise 1

1) 12 000 : 1,33 = 9022,55 €

exercise 2

1) 9200 : x = 100% : 2%

  (9200*2) : 100 = 184 rupees

(sorry dont know the other two ones)

pa help po............. ............​

Answers

Answer:

ΔABC

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

ΔXYZ

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

ΔNOR

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

Step-by-step explanation:

According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;

In triangle ΔABC, we have;

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

In triangle ΔXYZ, we have;

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

In triangle ΔNOR, we have;

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

A right triangle has side lengths d, e, and f as shown below use these lengths to find sinx, cosx, and tanx

Answers

Answer:

sinx= d/f

cosx= e/f

tanx= d/e

Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?

Answers

Answer:

0.39063241

Step-by-step explanation:

cost per item: 6.06

items sold: 64321

total profit: 25123.5

sale price: ?

x = number of items

64321x - 6.06x = 25123.5

64314.94x = 25123.5

x = 25123.5/64314.94 = 0.39063241

List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).










What Quadrant would the following numbers be in:

-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____

Answers

JxkskKzk lflodlslslslss

can some one answer please

Answers

Answer:

B (HI/GI)

Step-by-step explanation:

Remember Soh Cah Toa.

Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.

The terminal side of θ in standard position contains the point (3, 0). Find the exact values of the six trigonometric functions of θ

Answers

[tex]\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3[/tex]

[tex]\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0[/tex]

[tex]cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1[/tex]

Please I need help with this!!!!!!!

Answers

Answer:

Step-by-step explanation:

1). Step 4:

   [tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]

   [tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]

   [tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]

   Step 5:

   [tex]x=\sqrt[3]{(5)^3\times 5}[/tex]

   [tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   [tex](3x-1)^{\frac{1}{5}}=2[/tex]

   Step 1:

   [tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]

   Step 2:

   [tex](3x-1)=2^5[/tex]

   Step 3:

   [tex]3x=32+1[/tex]

   Step 4:

   [tex]x=11[/tex]

4). By substituting [tex]x=11[/tex] in the original equation.

   [tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]

                         [tex]=(2^5)^\frac{1}{5}[/tex]

                         [tex]=2[/tex]

There is no extraneous solution.

1). Step 4:

   x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31

   x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a

   x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5

   Step 5:

   x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5

   x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   (3x-1)^{\frac{1}{5}}=2(3x−1)51=2

   Step 1:

   (3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215

   Step 2:

   (3x-1)=2^5(3x−1)=25

   Step 3:

   3x=32+13x=32+1

   Step 4:

   x=11x=11

4). By substituting x=11x=11 in the original equation.

   (3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51

                         =(2^5)^\frac{1}{5}=(25)51

                         =2=2

There is no extraneous solution.

Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]

Answers

Answer:

Step-by-step explanation:

Distance traveled by walking = x

i) The distance Mary run = 2 *x = 2x

ii) Distance traveled by bus = 65 m more than the distance she ran

                                             = 65 m more than 2x

Distance traveled by bus  = 2x + 65

Total distance traveled = 600 m

x + 2x + 2x +65 = 600

            5x + 65 = 600

                   5x = 600 - 65

                   5x = 535

                     x = 535/5

x = 107

Distance Mary walked = 107 m

What is the measure of an angle if it is fourteen times its own complement?​

Answers

Answer:

Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.

[tex]\sqrt \frac{256}{4\\}[/tex]

Answers

Answer:

8

Step-by-step explanation:

[tex]\sqrt{\frac{256}{4} }[/tex]

[tex]\sqrt{\frac{16*16}{2*2} }[/tex]

[tex]\sqrt{(\frac{16}{2})^2 }[/tex]

square and root gets cancel . so ,

[tex]\frac{16}{2}[/tex]

8

WUTY guerrITOSTITUTO PETTITUUTTOIVOITETTO
GO
Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2),
The line ys -8 is
The line perpendicular to the line y = -8 is
The equation of the line perpendicular to the line y = -8 through the point (-4,-2) is

Answers

Answer:

-x-6=y

Step-by-step explanation:

Perpendicular slope is -1

-1(-4)+b=-2

B=-6

Answer:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).

The line y = –8 is

✔ horizontal

The line perpendicular to the line y = –8 is

✔ vertical

The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is

✔ x = –4

Step-by-step explanation:

i got it right

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

Answer:

in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right

A) 80/140 is the portion that describes the book readers over all people surveyed

B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.

that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie

C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city

Please help thank you! Sorry for spamming

Answers

Answer:

B

Step-by-step explanation:

because of order if operations.

Answer:

B

Step-by-step explanation:

The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.

If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.

Black pens come in boxes of 12. Blue pens come in boxes of 10. Red
pens also come in boxes of 10. You need a total of 50 of each color of
pen. You have 2 boxes of black pens, 3 boxes of blue pens, and 1 box of
red pens. How many boxes of each color should you order?

Answers

Answer

12+10+10+50+2+3+1=88

Step-by-step explanation:

Answer:

Red pens: 4 boxes

blue pens: 2 boxes

black: 3 boxes

Step-by-step explanation:

Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?

Answers

Answer:

50th

Step-by-step explanation:

10 multiply by 5 is 50

And 25 multiply by 2 is 50

50 is the first to appear on both sides

Complete the equation describing how x and y are related.

Answers

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

If 24 - 2x = 19 + 3x, then x =

Answers

Answer:

1 =x

Step-by-step explanation:

24 - 2x = 19 + 3x

Add 2x to each side

24 - 2x+2x = 19 + 3x+2x

24 = 19 +5x

Subtract 19 from each side

24-19 =19+5x-19

5 = 5x

Divide by 5

5/5 = 5x/5

1 =x

Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?

Answers

Firstly, 27 x 4.54
= $122.58

$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.

What is PEDMAS rule?

PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.

According to the question

Monique goes out for coffee once per week.

She has already spent $40.86 this year on her coffees and each one is $4.54.

There are 27 weeks left in this school year for Monique.

If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:

Based on the given conditions

[tex]40.86 + 27 \times 4.54[/tex]

By using PEDMAS rule, first we have to multiply 27 and 4.54

= [tex]40.86 + 122.58[/tex]

By using PEDMAS rule, first we have to add 40.86 and 122.58

= [tex]163.44[/tex]

Thus, $163.44 money will she have spent on coffee by the end of the year.

Find out more information about PEDMAS rule here

https://brainly.com/question/24086845

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Omar's gas tank is 1/3 full. after he buys 9 gallons of gas, it is 5/6 full. How many gallons can Omar's tank hold?

Answers

Answer:

18 gallons

Step-by-step explanation:

First get a common denominator (6). So 3/6 are added to the tank when Omar buys 9 gallons of gas. That means for every 1/6, three gallons are added to the tank.

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