At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?

Answer:

B

Step-by-step explanation:

Expand (x+5)^2 through binomial expansion and you get x^2+10x+25.

Break up the problem into little pieces like (x-5)(x+5) and 10(x+5)

Solve the first piece (x-5)(x+5) by doing something like FOIL.

x^2-25

Do the second piece

10x+50

When you add them together, it becomes x^2+10x+25, and (x+5)^2=(x-5)(x+5)+10(x+5).

Answer:

I hope it will help you :)

Answer:

6! = 720

3! - 2! = 12

6!/3!= 120

Step-by-step explanation:

just finished the assignment.

Answer:

Step-by-step explanation:

Here is a picture of the answer, since I couldn't put into words!

The mass of 15 liters of oil is 13.65 kg.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

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

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Density is the ratio of the mass of the body to the volume of the body.

Density = Mass / Volume

Given that oil has a density of 0.91 grams per milliliter

To determines the mass, in kilograms, of 15 liters of this oil

Rearranging the equation,

Mass = Density × Volume

∵ 15 liters = 15000 milliliters (ml)

So, 0.91g/ml x 15000ml = 13650g

∵ 1 kilogram = 1000grams

⇒ 13650g / 1000g/kg

⇒ 13.65kg

Thus, the mass of 15 liters of oil is 13.65kg.

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Answer:

0.83

Step-by-step explanation:

Answer:

Step-by-step explanation:

I believe it is

Adding -4x - 3 to both sides

Simplifying

Answer is - 3

Answer:

x + 3

Step-by-step explanation:

5x + 3 - 4x

(5x - 4x) + 3

x + 3

Best of Luck!

Answer:

Okay, I think you mean't 4x-9=6x+12.

Step-by-step explanation:

x=-7

Answer:

162

Step-by-step explanation:

30-3 = 27

6(27) = 162

Step-by-step explanation:

Given

X+ 2 = 0

X = -2

on putting in polynomial

-8a +2b= 0

- 8a = 2b

b = -4a

Now

when divided by x - 1 give remainder -15

so

x - 1 = -15

x = -14

on putting in polynomial

-2744a + 198 + 14b - 4 = -14

-2744a + 56a = - 208

-2688a = -208

a = 168/13

Now

b = 672/13

Answer:

The tip is 35 dollars

Step-by-step explanation:

Divide 140 by 4 to get 25%

140/4 = 35

35+35+35+35 = 140

25% of 140 = 35

The tip is 35 dollars

Answer:

35

Step-by-step explanation:

trust

Answer: 4:3

Step-by-step explanation: Because there are 4 game app for every 3 educational app.

Answer:

D. [tex]\pi<x<2\pi[/tex]

Step-by-step explanation:

Given the function

[tex]y=cosx[/tex]

Kindly refer to the graph attached in the answer area.

Referring to the intervals [0, [tex]2\pi[/tex]].

It decreases from the interval [0, [tex]\pi[/tex]] and then starts increasing in the interval

[tex][\pi,2\pi][/tex].

Proving by taking derivative:

Taking derivative of the function, [tex]y=cosx[/tex]

[tex]\dfrac{dy}{dx}=-sinx[/tex]

In the interval [tex][\pi,2\pi][/tex], [tex]sinx[/tex] is negative i.e. [tex]sinx<0[/tex].

Therefore [tex]-sinx>0[/tex]

When, the derivative of a function is positive, then the function is strictly increasing.

So, the answer is:

D. [tex]\pi<x<2\pi[/tex]

Answer:

Range: [1, 5]

Step-by-step explanation:

The range of a graph is all the y-values that are outputted by x-value inputs.

We see that our range spans from 1 to 5, and since they are closed dots, they are included in our range. Therefore, our range is [1, 5].

Answer:

Step-by-step explanation:

(x^2 - x)(2x - 2)

2x^3 - 2x^2 - 2x^2 + 2x

2x^3 - 4x^2 + 2x

Answer:

Second Option

Step-by-step explanation:

Graph is sloping down so your first number must be negative, hence eliminating option 3.

y-intercept is negative, hence eliminating option one. By process of elimination, your answer is option 2. Sorry for the brief explanation. Do let me know if you need any further explanation. Thanks!

This can be written as -8 + (-10). Subtracting a positive is the same as adding a negative.

One way to think of negatives is to think of debt in money. Writing -8 means you are 8 dollars in debt. Add on 10 more dollars of debt and you'll be 8+10 = 18 dollars in debt total. So this is one way to see how -8-10 = -8+(-10) = -18.

Or you can think of it as if you are in a submarine. The number -8 could represent the idea you are 8 miles below sea level. Then if we subtract 10 from this, or add on -10, it means we're going down another 10 miles to get a total depth of 18 miles below sea level. At this point, we would write -18.

Answer:

[tex]z = \frac{8}{5}[/tex]

Step-by-step explanation:

Calculate for the value of [tex]z[/tex] :

[tex]2(4z - 1) = 3(z + 2)[/tex]

-Use Distributive Property on both left and right:

[tex]2(4z - 1) = 3(z + 2)[/tex]

[tex]8z - 2 = 3z + 6[/tex]

-Take [tex]3z[/tex] and subtract [tex]8z[/tex] :

[tex]8z - 3z - 2 = 3z - 3z + 6[/tex]

[tex]5z - 2 = 6[/tex]

-Add [tex]2[/tex] to both sides:

[tex]5z - 2 + 2 = 6 + 2[/tex]

[tex]5z = 8[/tex]

-Take [tex]5z[/tex] and divide on both sides:

[tex]\frac{5z}{5} = \frac{8}{5}[/tex]

[tex]z = \frac{8}{5}[/tex]

Therefore, the value of [tex]z[/tex] is [tex]\frac{8}{5}[/tex].

The solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]

The given equation is 2( 4z - 1) = 3(z+2).

To solve the given equation means we should determine the value of the variable z.

To solve this, we will first clear the brackets

[tex]2(4z - 1) = 3(z+2)[/tex]

Clearing the brackets

[tex]8z - 2 = 3z + 6[/tex]

Now, collect like terms

[tex]8z - 3z = 6 + 2[/tex]

Then,

[tex]5z = 8[/tex]

Now divide both sides by 5

[tex]\frac{5z}{5} = \frac{8}{5}[/tex]

∴ [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]

Hence, the solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]

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Answer:

20

Step-by-step explanation:

Substitute x = 6 into f(x), that is

f(6) = 2(6) + 8 = 12 + 8 = 20

Answer:

D -$7.20

Step-by-step explanation:

so your answer is -$7.20

I hope this helps

$7.20 will be Jennys total allowance.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.

If she forgets three times in a month.

Thus, Jennys total allowance will be

=2.40 x 3

=$7.20

Hence, $7.20 will be Jennys total allowance.

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Answer:

work is attached and shown

The coordinate of point B will be (3, -8) for the given line segment.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

For example (5,3) here 5 will be for the x and 3 will be for the y.

Another example is (9,0) here 9 is for x and 0 is for y.

Given the line segment, AB

If the M(2, -1) is the midpoint of A(1,6) and B(x,y)

Then,

(1 + x)/2 = 2 ⇒ x = 3

(6 + y)/2 = -1 ⇒ y = -8

So B(3, -8).

Hence "The coordinate of point B will be (3, -8) for the given line segment".

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Answer:

1.

v = 12

-10.9 + 4v

-10.9 + 4(12)

-10.9 + 48

= 37.1

Answer:

Step-by-step explanation:

Step-by-step explanation:

1+6+8+9+7-5+81

= 107

....

Answer:

-1.825

Step-by-step explanation:

Just subtract!

Answer:

x=3

Step-by-step explanation:

10-3x+8x=25

-10            -10

-3x+8x=    15

5x=15

5x/5=15/5

x=3