The Singer family had a moving sale. The next day they made this deposit with no cash back: 25 twenties, 19 tens, 28 fives, 18 ones; 15 quarters; and checks for $25, $20, and $85. What was the amount of their deposit?

Answer:

8(3x+8y)

Step-by-step explanation:

Answer:

24x + 64y

Step-by-step explanation:

Answer:

y=-3/2+1

Step-by-step explanation:

A) y intercept is (0,3)

C) Axis of symmetry is x = -1

D) Vertex is (-1, 4)

So basically everything but choice B is true.

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

Explanation:

Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.

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

To check choices B through D, let's convert the equation into vertex form.

y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where

a = -1

b = -2

c = 3

The vertex is located at (h,k) such that h = -b/(2a)

Plug the values of 'a' and 'b' into the equation below

h = -b/(2a)

h = -(-2)/(2*(-1))

h = 2/(-2)

h = -1

The x coordinate of the vertex is x = -1

Then use this to find the y coordinate of the vertex

y = -1x^2 - 2x + 3

y = -1(-1)^2 - 2(-1) + 3

y = 4

The y coordinate of the vertex is 4, meaning k = 4

The vertex overall is (h,k) = (-1, 4)

This shows choice D is true, meaning choice B has to be false.

Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.

Answer: The slope is 2

Step-by-step explanation: -1 to -3 is -2. 2 to -2 is -4. rise/run. -4/-2=2

Answer:

A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.

Step-by-step explanation:

Answer:

a) The four inequalities are;

1) x ≤ 2

2) y ≥ 4

3) x + y ≥ 6

4) 0.5 × x + 0.25 × y ≤ 2

b) The limits of the combinations of fruits that are opened to her, derived using the Chart function on Microsoft Excel are;

1) (0, 8) which is 0 melons and 8 oranges

2) (0, 6) which is 0 melons and 6 oranges

3) (2, 4) which is 2 melons and 4 oranges

Step-by-step explanation:

The price per Melon = 50c = $0.5

The price per orange = 25c = $0.25

The amount she has to spend = $2

The number of melons she must buy ≤ 2

The number of oranges she must buy ≥ 4

The total number of fruits she should ≥ 6

Let x be the number of melons

Let y be the number of oranges

a) The four inequalities are;

1) x ≤ 2

2) y ≥ 4

3) x + y ≥ 6

4) 0.5 × x + 0.25 × y ≤ 2

b) Please find attached the required graph of the combination of fruits the girl buys created with Microsoft Excel

The combinations of the vertices of the feasible combinations that are opened to her, obtained from the creation of the combined graph, using Microsoft Excel are;

1) (0, 8) which is 0 melons and 8 oranges

2) (0, 6) which is 0 melons and 6 oranges

3) (2, 4) which is 2 melons and 4 oranges

Answer: 0.5 is the value of 0.05 is 1/10

Step-by-step explanation:

Answer:

The value of [tex]gf\left(-2\right)[/tex] will be:

Step-by-step explanation:

Given the functions

[tex]f(n) = n^2 - 4n + 3[/tex]

[tex]g\left(n\right)\:=\:2n\:-\:1[/tex]

[tex]f\left(-2\right)\:=\:\left(-2\right)^2\:-\:4\left(-2\right)\:+\:3[/tex]

           [tex]=\left(-2\right)^2+4\cdot \:2+3[/tex]

           [tex]=2^2+4\cdot \:2+3[/tex]

            [tex]=2^2+8+3[/tex]

            [tex]=4+11[/tex]

            [tex]=15[/tex]

so

[tex]gf\left(-2\right)=g\left(15\right)[/tex]

             [tex]=2n-1=2\left(15\right)-1=30-1=29[/tex]

Therefore,

Tell us the value of the variable to solve

The graph is attached btw

Answer:

Bet.

Step-by-step explanation:

Answer:

Do you need the result of the end?

Step-by-step explanation:

5*3=15

15-3=12

Answer:

The surface area is the area that describes the material that will be used to cover a geometric solid. When we determine the surface areas of a geometric solid we take the sum of the area for each geometric form within the solid.

Answer:

The volume of a pyramid

V=1/3⋅B⋅h

The area of the rectangle:

A=C⋅h

A=12.6⋅6

A≈75.6

To find the volume of a cylinder we multiply the base area (which is a circle) and the height h.

V=πr2⋅h

Answer:

1.3

Step-by-step explanation:

give brainliest

Answer:

I am sorry what are you showing

Answer:

The perimeter of the new TV is approximately  95.32 inches

Step-by-step explanation:

The diagonal dimension of the original TV = 32 inches

The perimeter of the original TV = 87.16 inches

The diagonal dimension of the new TV = 70 inches

The perimeter of the new TV = 87.16 inches

For the original TV, we have;

Let w be the width of the original TV and l be the length of the original TV, we have;

2·w + 2·l = 87.16

√(w² + l²) = 32

Therefore, we have;

32² = w² + l²

w = (87.16 - 2·l)/2

w = 43.58 - l

32² = l² + (43.58 - l)²

l² + (43.58 - l)² - 32² = 0

l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0

2·l² - 87.16·l + 875.2164 = 0

By the quadratic formula, we have;

l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)

Therefore, l = 27.89 inches or l = 15.69

Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69

or w = (87.16 - 2× 15.69)/2 = 27.89

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

15.69/27.89

w₂/l₂ for the new TV = 15.69/27.89

∴ w₂ = l₂ × 15.69/27.89

w₂² + l₂² = 70²

∴ (l₂ × 15.69/27.89)² + l₂² = 70²

l₂² × (15.69/27.89)² + l₂² = 70²

l₂²((15.69/27.89)² + 1) = 70²

l₂² = 70²/((15.69/27.89)² + 1) = 3722.04

l₂ = √(3722.04) ≈ 61.0

w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32

Therefore;

The perimeter of the new TV = 34.32 + 61 = 95.32 inches.

In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:

The perimeter of the new TV is approximately  95.32 inches

So the data for this exercise is from:

Let w be the width of the original TV and l be the length of the original TV, we have;

[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]

Therefore, we have:

[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]

By the quadratic formula, we have;

[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]

Therefore:

[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]

[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]  

The perimeter of the new TV :

[tex]P = 34.32 + 61 = 95.32[/tex]

See more about perimeter at brainly.com/question/6465134

Answer:

Okay...I'm not entirely sure but I kinda am. I think its g(x) = 10x - 6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

If you use rise over run, you should get to. From one point to the other, the rise is 2 and the run to the right is 1. So, you do 2 divided by 1, which is 2. So, the slope would be 2.

Answer:

I think the answer would be A

Answer:

A

Step-by-step explanation:

Answer:

The total cake make in the bakery ≅ 346 cakes

Step-by-step explanation:

Given that:

A bakery has 72 half gallons of milk

It takes [tex]1\dfrac{2}{3}[/tex] cups of milk to make the cake ;

i.e. [tex]\dfrac{5}{3}[/tex] cups of milk to make the cake after we converted the mixed fraction to an improper fraction.

Also,1 cup =  [tex]\dfrac{1}{8}[/tex] half gallons = 0.125 half gallons

Thus, the amount of milk required to make the cake = [tex]\dfrac{1}{8} \times \dfrac{5}{3}[/tex]

[tex]= 0.125 \times \dfrac{5}{3}[/tex]

= 0.208

∴

The total cake make in the bakery = [tex]\dfrac{72}{0.208}[/tex]

The total cake make in the bakery = 346.15

The total cake make in the bakery ≅ 346 cakes

Answer:

I honestly have no clue.

Step-by-step explanation:

I honestly have no clue.

Answer:

y-intercept is = 7

Step-by-step explanation:

Answer:

[tex]f(x)=0.5x^2-4x+7.5[/tex]

Step-by-step explanation:

The general form of a quadratic function is:

[tex]y=ax^2+bx+c[/tex]

We'll find the general form of the function:

[tex]f(x)=0.5(x-3)(x-5)[/tex]

Multiplying the expressions in parentheses:

[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]

Simplifying:

[tex]f(x)=0.5(x^2-8x+15)[/tex]

Operating:

[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]

Answer:

x <18

Step-by-step explanation:

The open side of the < always faces the bigger number.

Answer:

$ 2188

Step-by-step explanation:

12.5%*17500=(12.5/100)*17500=12.5*175=2188

Answer:

5q+74

Step-by-step explanation:

84-94 first which equals -10

then add that by 84 which equals 74

lastly just bring the 5q and 74 together making your expression

Answer:

15584.880

Step-by-step explanation:

8,228.8165 divided by 0.528

= 15584.8797348

= 15584.880 (rounded to the nearest thousandth)

(Remember to keep the thousandth digit, even if it's 0)

Hope this helped!

Answer:

$1,605

Step-by-step explanation:

As, 7% of $1,500 is = $105

So, the investment is = Principcal + Interest.

= $1,500 + $105 = $1,605

The value of investment after one year will be $1,605.

Given that,

Principal[P] = $1,500.

Rate[R] = 7%.

Time[T] = 1 year.

Formula of simple interest[S.I] :

[tex]\text{ S.I.} = \dfrac{P\times R\times\ T}{100} .\\\\ \text{S.I.} = \dfrac{\$1,500\times7}{100}\\\\ \text{S.I. }=\$105.[/tex]

Investment after one year will be :

[tex]\text {Investment}= \text{Principal} +\text{Interest}.\\\text{Investment}=\$1,500+\$105\\\text{Investment} =\$1,605[/tex]

Hence, the worth of investment after one year will be $ 1,605.

Learn more about Simple Interest, refer:

https://brainly.com/question/2793278