When Elmer empties his bank, he found 17 pennies, 4 nickels, 5 dimes, and 2 quarters. What was the value of the coins in his bank?

Answer:

y = -2x + 13

Step-by-step explanation:

for equation of a line

(x - x1)/(x2 - x1) = (y - y1)/(y2 - y1)

(x - 5)/(4 - 5) = (y - 3)/(5 - 3)

cross multiplying

2(x - 5) = -1(y - 3)

2x - 10 = -y + 3

y = -2x + 13

Answer:

Substitute x = 6 into the equation 3x-18

Answer:

A.) Subsitute 6 for x in the equation.

Step-by-step explanation:

I’m smart :).

Answer:

Step-by-step explanation:

[tex]y=4x-4\\\\\text{Substitute the coordinates of each points to the equation}\\\text{and check the equality.}\\\\1.\ (0,\ 4)\to x=0,\ y=4\\\\4=4(0)-4\\4=0-4\\4=-4\qquad\bold{FALSE}\\\\2.\ (0,\ -4)\to x=0,\ y=-4\\\\-4=4(0)-4\\-4=0-4\\-4=-4\qquad\bold{TRUE}\\\\3.\ (-4,\ 0)\to x=-4,\ y=0\\\\0=4(-4)-4\\0=-16-4\\0=-20\qquad\bold{FALSE}\\\\4.\ (4,\ 0)\to x=4,\ y=0\\\\0=4(4)-4\\0=16-4\\0=12\qquad\bold{FALSE}[/tex]

Answer:

C

y - y1 = m (x - x1)

(y - y1) / m = x - x1

x = (y - y1) / m + x1

Cakes = x

Cupcakes = y

On Saturday, 6x + y = $165

We are told x = 12, so 6(12) + 3y = 165

72 + 3y = 165

Subtract the entire equation by 72:

3y = 93

Divide by 3 to simplify:

y = 31 cupcakes sold

Answer:

The Answer is 4 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Since both fractions have like denominators  , you can just add them:

12/3 + 2/3 = 14/3

Since 14/3 is improper fraction, it should be turning to a mixed number:

14 can go into 3, 4 times since 4 times 3 is 12. 14 - 12 is 2, so it will be your numerator.

4 2/3

After combining like terms, the expression simplifies to 58.25n + 30p - 2, which does not match any of the provided answer choices, indicating an error in the options given.

To simplify the expression 1 + 4.25n + 32p

dash; 3 + (

minus;
2p) + 54n, we combine like terms. Let's first combine the constant terms (1 and -3), the 'n' terms (4.25n and 54n), and the 'p' terms (32p and -2p).

First, we handle the constants: 1 - 3 = -2

Now, combine the 'n' terms: 4.25n + 54n = 58.25n

Then, combine the 'p' terms: 32p - 2p = 30p

The simplified expression is 58.25n + 30p - 2, which matches none of the given options (A, B, C, D). There appears to be an error since the proper simplification does not align with the options provided.

In the given case, the correct answer is B. 9.5n + 1.5p - 2 which is the simplified expression.

The correct distribution should be:

[tex]\(1.5 \times 39n = 58.5n\) (which is correct)[/tex]

[tex]\(1.5 \times 20p = 30p\) (which is correct)[/tex]

 So the correct simplified expression is:

58.5n + 30p - 2

 Now, let's convert the decimals to fractions to match the format of the options provided:

[tex]\(58.5n = 58\frac{1}{2}n = 58n + \frac{1}{2}n = 58n + 0.5n\)[/tex]

30p = 30p

 So the expression becomes:

58n + 0.5n + 30p - 2

Therefore, the final simplified expression is:

9.5n + 30p - 2

However, we must correct the coefficient of p to match the format of the options. Since 30p  is actually [tex]\(1.5 \times 20p\)[/tex] , we should have:

1.5p = 30p

 Thus, the correct final simplified expression is:

9.5n + 1.5p - 2

The quadratic formula used to solve the equation [tex]5x^{2} +3x-4=0[/tex] is [tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]

Explanation:

The equation is [tex]5x^{2} +3x-4=0[/tex]

The equation is of the form [tex]ax^{2} +bx+c=0[/tex]

Thus, [tex]a=5, b=3,c=-4[/tex]

To find the quadratic formula, the general formula to find the quadratic roots is [tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

Hence, substituting the values of a,b,c in the formula, we get,

[tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]

Thus, Option A is the correct answer.

The quadratic formula used to solve the equation [tex]5x^{2} +3x-4=0[/tex] is [tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]

Answer:

slope = 0

Step-by-step explanation:

recall that the equation of a line can be expressed as:

y = mx + b, where m is the slope and b is the y-intercept.

in our case we are given y = 3

which can be re-written:

y = (0)x + 3

if we compare this with the general equation above, we can see that

slope = m = 0

Answer: the slope is zero

Step-by-step explanation:

The equation of line in slope - intercept form is given as : y = mx + c , where m is the slope and c is the y - intercept. This means that the line y = 3 is a horizontal line that passes through the point y = 3 , therefore , the slope is zero

Answer:

Step-by-step explanation:

98÷14

=7

686÷98

=7

4 802÷686

=7

33 614÷4 802

=7

Then the common ratio q for this sequence is 7

recursive formula : an+1 = q×an = ?

an= a1 × qⁿ⁻¹

   =2×7ⁿ⁻¹

an+1 = q×an

        = 7×(2×7ⁿ⁻¹)

       = 2×7ⁿ

Answer: The formular for this sequence is AR^n-1 (that is, A multiplied by R{raised to the power of n minus 1} )

Step-by-step explanation:This is a geometric progression in which every term is calculated by multiplying each previous term by a common ratio.

The common ratio here is 7, which is derived as

14/2, or 98/14, or 686/98, or 4802/686...

In simply put, R is derived as Tn/Tn-1, where Tn is the nth term and Tn-1 is the previous term.

Therefore the formular for this progression is given as

AR^n-1

Where A = 2, R = 7 and n = the nth term.

Answer:

You cant solve for how far you can go, but you can make an equation.

Step-by-step explanation:

A= The initial fee

$1.80=per mile

$12=The max amount of money

A+1.80x=$12

And you would subtract A from the $12 first!

Good Luck!

Answer:

What is it you would like help with, because the file does not work for me.

Step-by-step explanation:

Answer:

A. 1/2(14)(10)(8) – π(2.5^2)(8)

Step-by-step explanation:

I took the test and this was the correct answer. Hope this helped!

Answer:

(0.5)(14)(10)(8) – π(2.5²)(8)

Step-by-step explanation:

The rest of the question is the attached figure.

The volume of the shaded region = volume of the prism - volume of the cylinder

The volume of the prism = The area of triangle * height

                                         = 0.5 * 10 * 14 * 8

The volume of the cylinder = The area of the circle * height

                                             = π r² h

                                             = π (5/2)² * 8 = π * 2.5² * 8

So, The volume of the shaded region = (0.5)(14)(10)(8) – π(2.5²)(8)

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (-5, -1) and (6, -5). Substitute:

[tex]m=\dfrac{-5-(-1)}{6-(-5)}=\dfrac{-5+1}{6+5}=-\dfrac{4}{11}[/tex]

Put the value of a slope and coordinates of a point to the equation of a line:

[tex](-5,\ -1),\ m=-\dfrac{4}{11}\\\\y-(-1)=-\dfrac{4}{11}(x-(-5))\\\\y+1=-\dfrac{4}{11}(x+5)[/tex]

[tex](6,\ -5),\ m=-\dfrac{4}{11}\\\\y-(-5)=-\dfrac{4}{11}(x-6)\\\\y+5=-\dfrac{4}{11}(x-6)[/tex]

Answer:

Step-by-step explanation:

Subtraction because there is a minus sign

Answer:

Subtraction

Step-by-step explanation:

- this sign means to take away or in other words subtract.

Answer:

The answer is X^2=36

The equivalent equations of [tex]log_x36 = 2[/tex] are 36 = x² and x =  6.

The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

Equation [tex]log_x36 = 2[/tex]

We know the logarithmic function:

[tex]log_bx = a[/tex]

Then,

x = bᵃ

[tex]log_x36 = 2[/tex]

36 = x²

x =  6

Therefore, 36 = x² and x =  6 are the equivalent expressions.

To learn more about the logarithms;

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Answer:

Hi

Step-by-step explanation:

Sunndmdmd

Answer:

I'll write it below

Step-by-step explanation:

Q1 a side that has 10 sides and 10 angles is called decagon.

Q2 it is nonagon

Q3 it is Pentagon

Q4it is heptagon

1. A decagon has 10 sides and 10 angles

2. A nonagon has 9 sides and 9 angles

3. A pentagon has 5 sides and 5 angles

4. A heptagon has 7 sides and 7 angles

These are terms you'll have to memorize.

The product of f(x) = 2x + 6 and g(x) = -5x - 9 is found by multiplying out the terms, resulting in -10x^2 - 48x - 54, which corresponds to option B.

The student is asking to find the product of two functions f(x) = 2x + 6 and g(x) = -5x - 9. To find the product, we multiply the two functions together:

f(x) * g(x) = (2x + 6) * (-5x - 9)

Distribute each term in the first function by each term in the second function:

2x*(-5x) + 2x*(-9) + 6*(-5x) + 6*(-9)

= -10x^2 - 18x - 30x - 54

Combine like terms:

= -10x^2 - 48x - 54

Therefore, the correct answer is B. -10x^2 - 48x - 54.

Answer:hfgjvggunycdvjk8nyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyum

Step-by-step explanation:

Answer: probility that it lands on

Head up is 1/8 or 12.5%

Step-by-step explanation:

Answer: .679

Step-by-step explanation:

move the decimal to the left two places.

Answer:

90

Step-by-step explanation:

450/5

Answer:

90

Step-by-step explanation:

450 / 5 = 90

Answer:

2^2*7^7

Step-by-step explanation:

The expression 2 · 2 · 7 · 7 · 7 · 7 · 7 · 7 · 7 can be written as 2^2 · 7^7 in exponential form.

The expression 2 · 2 · 7 · 7 · 7 · 7 · 7 · 7 · 7 can be written in exponential form as 22 · 77. In exponential form, the base number is written followed by a superscript that represents how many times the base is multiplied by itself. In this case, the base numbers 2 and 7 are multiplied by themselves 2 and 7 times, respectively.

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Answer:

The order of operations is PEMDAS

First step is to do everything is parenthesis or brackets

5+{2*[(5-1)+6]}/4

{2*[(5-1)+6]}

First you would go 5-1=4, because that is the first equation that is in parenthesis by itself.

{2*[4+6]}

Next you would go 4+6=10, because that is your next smallest bracket

{2*10}

Last you would go 2*10=20

Your equation now looks like this

5+{20}/4

In PEMDAS your next step is exponents, but we don't have any so we go on to the next one which is multiply/division

5+5

You would go 20/4=5

Last step is to add/subtract

5+5=10

Your final answer would be 10

Hope this helps ;)

Step-by-step explanation:

Answer:

The area of the irregular figure is  366 cm sq.

Step-by-step explanation:

This irregular figure is made of 1 Rectangle +  1 right Triangle

Area of the Rectangle:

Length of the rectangle = 21 cm,

Width of the rectangle  = 14 cm

AREA of Rectangle =  LENGTH x WIDTH

          =  21 cm x 14 cm =  294 sq cm

⇒Area of the Rectangle  =   294 sq cm   ..... (1)

Area of the Right Triangle:

Base of the rectangle = 16 cm,

Height of the rectangle  = 21 cm -  12 cm = 9 cm

AREA of Right Triangle =  [tex]\frac{1}{2} \times B \times H[/tex]

          [tex]= \frac{1}{2} \times 16 \times 9 = 72[/tex]

⇒Area of the Right Triangle   =   72 sq cm   ..... (2)

Now, area of the irregular figure  = Area of the( Rectangle  +Right Triangle)

= 294 sq cm + 72 sq cm = 366 cm sq

Hence, the area of the irregular figure is  366 cm sq.

Answer:

366 sq. ft

Step-by-step explanation:

First, we have to find the area of the triangle. To do this we have to find the height of the triangle which can be done by subtracting 12 from 21 to get 9. Then we multiply 16 by 9 to get 144 and divide it by 2 to get 72. Now we must find the area of the rectangle. To do this we have to multiply 14 and 21 to get 294. Now we have to add the values together to get 366.

44.9 megabytes of download is complete

Solution:

Given that,

File that is 274 megabytes is being downloaded if the download

Therefore, total megabytes of file = 274 megabytes

The download is 16.4% complete

To find: Megabytes that has been downloaded

So, we can say, 16.4 % of total megabytes of file is downloaded

Megabytes that has been downloaded = 16.4 % of total megabytes of file

Megabytes that has been downloaded = 16.4 % of 274

[tex]\rightarrow 16.4 \% \text{ of } 274\\\\\rightarrow 16.4 \% \times 274\\\\\rightarrow \frac{16.4}{100} \times 274\\\\\rightarrow 0.164 \times 274 = 44.936 \approx 44.9[/tex]

Thus 44.9 megabytes of download is complete

Final answer:

multiply 274 megabytes by 0.164, which gives 44.936 megabytes. Rounded to the nearest tenth, this is 44.9 megabytes.

Explanation:

To calculate how many megabytes have been downloaded when 16.4% of a 274 megabyte file has been completed, you simply multiply the total file size by the percentage that has been downloaded. You can convert the percentage into a decimal by dividing it by 100.

So, 16.4% as a decimal is 0.164. Now, multiply the file size by this decimal:

274 megabytes * 0.164 = 44.936 megabytes

Round to the nearest tenth, the amount downloaded is approximately 44.9 megabytes.

Answer:

Step-by-step explanation:

The formula for the area of a circle is pi*r^2, meaning pi times the radius squared. Since we know that the diameter is 14 centimeters, we know that the radius is half of that. The radius is 7. Now, we have to square 7. 7^2=49. So the answer is 49*pi, or approximately 153.93804

Answer:

71.5

Step-by-step explanation:

650 / 100 = 6.5

6.5 x 11 = 71.5