Cindy has $60 in her bank account while Eric has $400 in his bank account. Cindy deposits
$5 into her bank account every day while Eric withdraws $10 from his bank account every
day. How many days, d, will it take for Cindy and Eric to have the same amount of money
in their bank accounts?
60 - 10d = 400 +5d
60 - 5d = 400 +10d
60 - 5d = 400 - 10d
60 + 5d = 400 - 10d

Answer:

[tex] x = 30 [/tex]

Step-by-step explanation:

Given [tex] 2x, 3x, x [/tex], as the interior angles of the ∆, since sum of interior angles of ∆ = 180°, equation to solve for the value of x is given as:

[tex] 2x + 3x + x = 180 [/tex]

Combine like terms

[tex] 6x = 180 [/tex]

Apply the inverse operation of multiplication to solve for x. Since 6 is multiplying x = 6x, to get the value of x, the inverse operation of multiplication is division. Therefore, we would divide each side of the equation by 6.

[tex] \frac{6x}{6} = \frac{180}{6} [/tex]

[tex] x = 30 [/tex]

Hey!

-36 divided -6 is 6.........

Answer:

5.5 hours, or 5 and 1/2 hours, or 5 hours and 30 minutes

Step-by-step explanation:

40/320=x/44

cross multiply

40(44)=320x

1760=320x

1760/320=x

5.5

Answer:

5

Step-by-step explanation:

1. subtract 45 from both sides 55 = 11s

2. Divide by 11 on both sides  [tex]\frac{55}{11} =\frac{11s}{11}[/tex]

3. And now you have 5 = s

Ur welcome plz sub to lolyavko on yt. :)

Answer:

A is spanned by vector.

Step-by-step explanation:

The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.

Answer:

exact form: 98/15  decimal form: 6.53  mixed number form: 6 8/15

Step-by-step explanation:

hope this helped

Answer:

x=4

Step-by-step explanation:

the sum of 18 and a number x

that's just 18+x

is equal to 22

that means that something=22

=22

put all together

[tex]18+x=22\\\\18-18+x=22-18\\\\x=4[/tex]

The required value of x is 4.

Assume that the number we're looking for is represented by 'x'. According to the problem,

The sum of 18 and x is equal to 22.

We can write this as an equation: 18 + x = 22.

To solve for x,

Isolate it on one side of the equation.

We can do this by subtracting 18 from both sides:

18 + x - 18 = 22 - 18.

This simplifies to,

x = 4.

Therefore, the value of x that satisfies the equation is 4.

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Answer:

Its C

Step-by-step explanation:

Answer:

its number c

Step-by-step explanation:

Answer:

29.5 cm^2

Step-by-step explanation:

The diameter is 10 so the radius is 10/2 = 5

The area of the square is

A = s^2 = 7^2 = 49

The area of the circle is

A = pi r^2 = 3.14 * 5^2 =78.5

Subtract the area of the square from the area of the circle

78.5-49 =29.5

Answer:29.5

Step-by-step explanation:

The diameter is 10 so the radius is 10/2 = 5

The area of the square is

A = s^2 = 7^2 = 49

The area of the circle is

A = pi r^2 = 3.14 * 5^2 =78.5

Subtract the area of the square from the area of the circle

l78.5-49 =29.5 thats all

Answer

True!

Step-by-step explanation:

If the number is negative it's further away from 0.

Answer: or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.

Step-by-step explanation:

The solutions of the quadratic equation are 3  ± √ -49.

A quadratic equation is what can be written in the form of ax²+bx+c=0.

The quadratic equation is,

x² - 6x = -58

The equation can be written as,

x² - 6x +58 = 0

Now it is in the form of the standard equation.

To determine the solutions of the quadratic equations, the formula used is

x = ( -b ± √ (b² -4ac)) / 2a

The value of a = 1

The value of b = -6

The value of c = 58

Putting the values in the formula.

x = ( 6 ± √ ((-6)² -4 * 1 * (58))) / 2 * 1

x = ( 6 ± √ (36 -232) / 2

x = ( 6 ± √ (-196) / 2

x = 3  ± √ -49

This can be written as complex numbers

i = √-1

x = 3  ± 7i

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Answer:

its (2,4)

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Raina has a fabric of area 7912 centimetre square find the largest square that can be cut from it how much piece will be left

Area of fabric = 7912 cm²

Largest square that can be cut from it :

Taking the square root of 7912

Sqrt(7912) = 88.94 cm

Hence, it can be deduced that the largest square tht can be cut from it will be 88cm

From area of a square = a²

Where area is the length of the side (since all sides are equal)

a² = 88² = 7744cm²

Hence, area left = (7912 - 7744) cm² = 168 cm²

Answer:

9466.8

Step-by-step explanation:

stop deleting my answer ima roast you fuggin

Answer:

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

Step-by-step explanation:

Given:

Interval, [0, 4]

Required:

Average range of change over [0, 4]

SOLUTION:

Find f(0) and f(4) from the graph:

[tex] f(0) = 0 [/tex] (when x = 0, y = 0)

[tex] f(4) = 3 [/tex] (when x = 4, y = 3)

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = 0, f(a) = 0 [/tex]

[tex] b = 4, f(b) = 3 [/tex]

Plug in the values into the formula for average rate of change.

[tex] = \frac{3 - 0}{4 - 0} [/tex]

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

Average rate of change [tex] = \frac{3}{4} [/tex]

Answer:

Step-by-step explanation:

To find the original price given the new price and percentage discount we use the formula

[tex]original \: \: price = \frac{100}{(100 - x)} \times new \: \: price \\ [/tex]

where

x is the percentage discount

From the question

new price = $ 84

% discount = 30%

Substitute the values into the above formula and solve

That's

[tex]original \: \: price = \frac{100}{100 - 30} \times 84 \\ = \frac{100}{70} \times 84 \\ = \frac{10}{7} \times 84 \\ = 12 \times 10[/tex]

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

84*0.30= $25.2

84+ 25.2 = $109.2

Answer:

[tex] \boxed{ \bold{ \huge{ \tt{ \sqrt{173 \:}} \: units}}} [/tex]

Step-by-step explanation:

[tex] \star{ \tt{ \: \: Let \: the \: points \: be \: A \: and \: B}}[/tex]

[tex] \star{ \tt{ \: Let \: A ( 5 , 1 ) \: be \: ( x1 ,\: y1

) \: and \: B ( -8 , 3 ) \: be \: ( x2 , y2 )}}

[/tex]

[tex] \sf{ \underline{ finding \: the \: distance \: between \: these \: points}}[/tex]

[tex] \boxed{ \underline{ \underline{ \tt{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}}}}}[/tex]

[tex] \hookrightarrow{ \tt{ \sqrt{ {( - 8 - 5)}^{2} + {(3 - 1)}^{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ \sqrt{ {( - 13)}^{2} + {(2)}^{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ \sqrt{169 + 4}}} [/tex]

[tex] \hookrightarrow{ \boxed{ \tt{ \sqrt{173} \: \: units}}}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

Step-by-step explanation:

(x₁ , y₁) = (5 , 1)    & (x₂ , y₂) = (-8 , 3)

[tex]Distance = \sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2}}\\\\ =\sqrt{(-8-5)^{2}+(3-1)^{2}}\\\\=\sqrt{-13)^{2}+2^{2}}\\\\=\sqrt{169+4}\\\\=\sqrt{173}units[/tex]

Answer:

0.0588235; 0.3823529; 0.5588235

Step-by-step explanation:

Given that:

Total number of cards = 52

Total number of hearts = 13

Probability = required outcome / Total possible outcomes

Two cards are drawn without replacement :

1) What’s the probability that both of the cards are hearts?

First draw :

P(hearts 1) = 13 / 52

Second draw :

P(hearts 2) = 12 / 51

P(both cards being hearts) :

(13 /52) × (12/51) = 156 / 2652 = 26/442 = 13 / 221 = 0.0588235

2) What’s the probability that exactly one of the cards are hearts?

First draw being hearts, 2nd not hearts Or First draw not hearts and 2nd being hearts

P(first draw hearts) = 13 /52

P(2nd not hearts) = 39/51

13/52 × 39/51 = 0.1911764

P(first not hearts) = 39 /52

P(2nd being hearts) = 13 / 51

39/52 × 13/51 = 0.1911764

Hence, (0.1911764 + 0.1911764) = 0.3823529

3) What’s the probability that none of the cards are hearts

P(first draw, no hearts) = 39/52

P(second draw, no hearts) = 38/ 51

39/52 × 38/51 = 1482 / 2652 = 0.5588235

Answer:

[tex]x=120^o[/tex]

in order: 60, 60, 120, 120  (all of them in degrees)

Step-by-step explanation:

We need to add all four angles given (I'll use 0.5 instead of 1/2 to make the addition easier to type):

0.5 x + 0.5 x + x + x = 360

3 x = 360

x = 360/3 = 120

Therefore,  [tex]x=120^o[/tex]

now the angles are:

two of them are 1/2 of x, that is: 120/2 = 60

Then smallest angles are: [tex]60^o \,\,\,and \,\,\,60^o[/tex]

the largest are directly equal to "x", that is: [tex]120^o\,\,\,and \,\,\,120^o[/tex]

Answer:

Equation is [tex]8M + 7P = 131[/tex]

[tex]M = \$12[/tex]

Step-by-step explanation:

Given

Jason: 6 Movies and 4 popcorn

Michael: 2 Movies and 3 Popcorn

1 Popcorn = $5

Total = $131

Required

- Write an equation to solve

Represent Movie with M and Popcorn with P

For Jason, we have:

6M + 4P

For Michael, we have:

2M + 3P

Add these parameters together

Jason + Michael = $131

[tex]6M + 4P + 2M + 3P = 131[/tex]

Collect Like Terms

[tex]6M + 2M+ 4P + 3P = 131[/tex]

[tex]8M + 7P = 131[/tex]

Hence the equation is [tex]8M + 7P = 131[/tex]

From the question, we have that

[tex]P = \$5[/tex]

Substitute 5 for P

[tex]8M + 7 * 5 = 131[/tex]

[tex]8M + 35 = 131[/tex]

Solve for M

[tex]8M = 131 -35[/tex]

[tex]8M = 96[/tex]

[tex]M = \frac{96}{8}[/tex]

[tex]M = \$12[/tex]

Answer:

$114.54

Step-by-step explanation:

In order to answer this question, we are going to have to do some multiplication :)

First, we will find out how much Maria got paid on Monday. In order to find this, we must multiply 5.1 hours by $9.20, so

5.1 * 9.20 = 46.92

We will be using this number a little later. Next, we have to find out how much Maria got paid on Tuesday, so we have to multiply 7.35 hours by $9.20, so

7.35 * 9.20 = 67.62

Now, we will combine the numbers:

67.62 + 46.92 = 114.54

Therefore, Maria earned $114.54 this week

Hope this helps :)

105.34 and you would first add the hours together so 5.1 + 7.35= 11.45 then you would multiple $9.20 X 11.45= 105.34

Answer:

27

Step-by-step explanation:

Given expression :  

    1 + 24 + ( + 3) = 1

Bring the number 1 to the left side of the equal sign. The positive 1 becomes negative 1 when brought towards the left side of the equal sign.

1 + 24 + ( + 3) - 1 = 0

Now, opening the bracket, we get

1 + 24  + 3 - 1 = 0

Negative 1 and positive 1 will get cancel

24  + 3  = 0

or 27

Therefore, the value of the numerical expression  1 + 24 + ( + 3) = 1 is 27.

Answer:

Step-by-step explanation:

4,05 × 10⁻⁷ =  405/10²  ˣ  1/10⁷ = 405/10⁹

Answer:

A

Step-by-step explanation:

22:32

when you get it into the decimal form the value is greater than the value of 11/16

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Answer:

f(5×)-7=2

Step-by-step explanation:

5×-7=2

7f(×)=2

Answer:

FV= $12,450

Step-by-step explanation:

Giving the following information:

David invests $10,000 in a savings account that pays 3.5% simple interest.

To calculate the future value, we need to use the following formula.

FV= PV*(1+i*n)

n= 7

i= 0.035

PV= 10,000

FV= 10,000*(1+0.035*7)

FV= $12,450

Answer:

AC=48

Step-by-step explanation:

Since B marks the middle of A and C and AB is 24, you would need to multiply that length by two to find AC.

Answer:

6, 21/25, -9/36

Step-by-step explanation:

Answer:

x=1.4

Step-by-step explanation:

Write the equation

[tex]\frac{5.6}{x} =4[/tex]

Multiply both sides by x

[tex]5.6=4x[/tex]

Divide both sides by 4

[tex]1.4=x[/tex]

Hope this helps! Plz award Brainliest : )

The value of x is 1.4 when z = 4.0 and y = 5.6.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given the equation as:

z = y/x

z = 4.0 and y = 5.6

To determine the value of x

⇒ z = y/x

Multiply by x on both sides

⇒ xz = y

Substitute the values z = 4.0 and y = 5.6

⇒ x(4) =(5.6)

Divide both sides by 4

⇒ x = (5.6)/(4)

⇒ x = 1.4

Hence, the value of x is 1.4 when z = 4.0 and y = 5.6.

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