On Monday, your bank account balance was -12.58. Because you didn’t realize this, you wrote a check for $ 30.72 for groceries?? What is the new balance in your checking account?

When we're solving equations, our prime goal is to isolate the variable. We can do this by using inverse operations to combine like terms.

Examples:

[tex]\sqrt[3]{5x-4}=\sqrt[3]{7x+8}[/tex]

⇒ Here, both sides are being taken to the square root of 3. To remove this, we can raise both sides to the power of 3:

[tex](\sqrt[3]{5x-4})^3=(\sqrt[3]{7x+8})^3\\5x-4=7x+8[/tex]

⇒ Let's move our x variable to the right side of the equal sign and the numbers to the left side. Start by subtracting 5x from both sides:

[tex](\sqrt[3]{5x-4})^3-5x=(\sqrt[3]{7x+8})^3\\5x-4=7x+8-5x\\-4=2x+8[/tex]

⇒ Now, subtract 8 from both sides:

[tex]-4-8=2x+8-8\\-12=2x[/tex]

⇒ Finally, divide both sides by 2 to isolate x:

[tex]\dfrac{-12}{2}=\dfrac{2x}{2}\\\\-6=x[/tex]

x = -6

Answer:

A

Step-by-step explanation:

EDGE 2019

Answer:

40 women then? whats the question?

Step-by-step explanation:

theres no question just info

Answer:

67

Step-by-step explanation:

Answer:

26880 i think

Step-by-step explanation:

I think it is i hope it helps

Given that,

The diameter of a tennis ball, d = 2.7 inches

Radius, r = 1.35 inches

The dimensions of the storage shed is 14 feet wide, 15 feet long, and 10 feet high.

Volume of the shed is, V = lbh

[tex]V=14\times 15\times 10\\\\V=2100\ \text{feet}^3[/tex]

We can convert radius from inches to feet :

1 foot = 12 inches

Radius, r = 0.1125 feet

Let there are x number of tennis balls that can fit in the shed. So,

[tex]x\times V_b=V_s\\\\\text{Where}\ V_b\ \text{and}\ V_s\ \text{volume of ball and shed}\\\\x=\dfrac{V_s}{\dfrac{4}{3}\pi r^3}\\\\x=\dfrac{2100}{\dfrac{4}{3}\pi \times (0.1125)^3}[/tex]

x = 352105.75 balls

or

x = 352106 balls

Hence, 352106 balls can fit in the storage shed.

Answer:

16

Step-by-step explanation:

substitute the values into the equation

9(4)+4(-5)

solve...

36-20=16

Answer:

16

Step-by-step explanation:

9x + 4y

Let x =4 and y = -5

9(4)+ 4(-5)

36 -20

16

Answer:

10+12.50h=5+15h

We move all terms to the left:

10+12.50h-(5+15h)=0

We add all the numbers together, and all the variables

12.50h-(15h+5)+10=0

We get rid of parentheses

12.50h-15h-5+10=0

We add all the numbers together, and all the variables

-2.5h+5=0

We move all terms containing h to the left, all other terms to the right

-2.5h=-5

h=-5/-2.5

h=+2

Step-by-step explanation:

please heart and give brainliest

The approximate length of line segment XY is 20.8 units

The formula for calculating the distance between two points is expressed as:

A = √(x2-x1)²+(y2-y1)²

Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;

XY = √(5+12)²+(6+6)²

XY = √(17)²+(12)²

XY = √269 + 144

XY = 20.8

Hence the approximate length of line segment XY is 20.8 units

Learn more on distance formula here; https://brainly.com/question/661229

Number of questions Colin thought wrong, N = 14.

So, his score by his prediction will be, S = 50-14 = 36.

Now,

Number of questions which are actually wrong, n = 14 -5 = 9.

His actual score, s = 50 - 9 = 41.

Percentage accuracy is given by :

[tex]\%=\dfrac{Actual-Real}{Real }\times 100\\\\\%=\dfrac{41-36}{41}\times 100\\\\\%=12.195\%[/tex]

Hence, this is the required solution.

5a+2 =2 (4+a)

Simplifying

5a + 2 = 2(4 + a)

Reorder the terms:

2 + 5a = 2(4 + a)

2 + 5a = (4 * 2 + a * 2)

2 + 5a = (8 + 2a)

Solving

2 + 5a = 8 + 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

2 + 5a + -2a = 8 + 2a + -2a

Combine like terms: 5a + -2a = 3a

2 + 3a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0

2 + 3a = 8 + 0

2 + 3a = 8

Add '-2' to each side of the equation.

2 + -2 + 3a = 8 + -2

Combine like terms: 2 + -2 = 0

0 + 3a = 8 + -2

3a = 8 + -2

Combine like terms: 8 + -2 = 6

3a = 6

Divide each side by '3'.

a = 2

Simplifying

a = 2

Answer:

j ≤ 25

Step-by-step explanation:

Given that :

Total Planned amount on shopping should not be more Than $100

Items purchased : a pair of Jean and 3 shirts

Cost of t-shirt = $25 each

Cost of pair of Jean = j

Amount spent on pair of jeans=?

Total amount spent on shirt = $25 * 3 = $75

Amount left : $100 - $75 = ≤ 25

Hence amount spent on pair of jeans :

j ≤ 25

Answer:

3 hours.

Step-by-step explanation:

135/45=3

Answer:

second option

Step-by-step explanation:

Given

a(c + b) = d ← distribute parenthesis on left side

ac + ab = d ( subtract ab from both sides )

ac = d - ab ( isolate c by dividing both sides by a )

c = [tex]\frac{d-ab}{a}[/tex]

Answer:

  a. 72°

  b. side DF

Step-by-step explanation:

The base angles of an isosceles triangle are congruent and equal to the complement of half the a.pex angle. The shortest side of the triangle is opposite the smallest angle.

∠F = 90° -(36°/2) = 72°

__

The smallest angle is 36°. The side opposite that angle is side DF.

_____

Additional comment

The relation we used to find the base angle is based on the fact that the sum of angles in a triangle is 180°. For angle F, with D = F, we have ...

  D +F +36° = 180°

  2F = 180° -36° . . . . . . substitute D = F, and subtract 36°

  F = 90° -(36°/2) . . . . . divide by 2

Answer:

n + m = 8.27; 3n + 5m = 20.22

Step-by-step explanation:

Let

Cost of the novel = n

Cost of the magazine = m

The cost for a novel and a magazine is $8.27.

n + m = 8.27 (1)

The cost for 3 novels and 5 magazines is $20.22

3n + 5m = 20.22 (2)

The pairs of equation to determine n, cost of the novel and m, cost of the magazine is

n + m = 8.27; 3n + 5m = 20.22

Combining (1) and (2)

Answer:

5 + 4 + 3 = 12

12 ÷ 6 = 2

he puts 2 cups in each glass

Answer: 33.6 degrees

Step-by-step explanation:

Answer:

not that hard just think about it really hard

Step-by-step explanation:

Answer:

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

Step-by-step explanation:

I = $ 1,937.50

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

Answer:

The answer should be 1,1125,000 because 10,000x 15 x7.5= 1,1125,000.

pint, quart, then gallon

least------------> greatest

Answer:

6n + 3 - 3 = 9 - 3

6n = 6

n = 1

Step-by-step explanation:

Answer:

step one: subtract 3 on both sides 6n=6

then divide 6 on both sides n=1

Step-by-step explanation:

c = a²

4(14+c)

4(14 + a²)

not sure though^^

Answer:

Step-by-step explanation:

Let the total amount be y

and let the number of hours be x

given that the fixed charge is $10

and the charge per hour is $30

also given is that the tutor will work for a maximum of 4 hours

therefore the total amount the tutor will earn is modelled as

y=10+30x

for 4 hours the tutor will earn

y=10+30*4

y=10+120

y=130

therefore the domain lie between 40 and 130

Answer:

C. The quotient of two times some number and four

Step-by-step explanation:

Given the expression 2x÷4

The x be the unknown number.

2x can be written as:

Product of some number and 2 OR two times an unknown number

2x÷4 will then be written as:

The quotient of two times a number and 4

The correct option to describe the equation is "The quotient of two times some number and four"

Answer:

150

Step-by-step explanation:

the line is straight hence gradient is constant

change in y/change in x=gradient

(45-0)/(65-50)

G=3

lunches is x axis

3=(y-45)/(100-65)

(3x35)=y-45

105=y-45

105+45=y

y=150

Answer:

5184

Step-by-step explanation:

Answer:

Slope is not defined.

Step-by-step explanation:

If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on a line then the slope of the line is given by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Now find the slope of the side of a square such that two adjacent vertices of a square are A(2, 3) and B(2, 8).

Take [tex](x_1,y_1)=(2,3)\,,\,(x_2,y_2)=(2,8)[/tex]

Slope of the line [tex]=\frac{8-3}{2-2}=\frac{5}{0}[/tex]

Here, [tex]\frac{5}{0}[/tex] is not defined.

So, slope is not defined.

Answer:

TRUST ME I PUT UNDEFINED AND THATS WRONG BEATCHES

the answer is zero and undefined. because the given is undefined, and to form a square, the 4 angles must be equal to 90, and a perpendicular line to to a line that has an undefined slope is zero, so 2 edges have a zero slope and 2 edges have an undefined sloped. PERIODT

Step-by-step explanation: