An ice cream shop uses 4 pints of ice cream to make 10 sundaes. How many pints of ice cream are used for each sundae?

Answer:

D. -31 is less than -23

Step-by-step explanation:

Answer:

[tex]\frac{3^{n} }{3^{2(n-1)} }[/tex]

Step-by-step explanation:

3²⁻ⁿ is the simplification of  3ⁿ/9ⁿ⁻¹ in powers of 3.

An expression is combination of variables, numbers and operators.

The given expression is  3ⁿ/9ⁿ⁻¹

three power n divided by nine power n minus one.

To express to the power of 2, we have few properties of exponentials.

aˣ/aⁿ=aˣ⁻ⁿ

aˣ.aⁿ=aˣ⁺ⁿ

The given expression is

3ⁿ/9ⁿ⁻¹

3ⁿ/(3²)ⁿ⁻¹

3ⁿ/3²ⁿ⁻²

3ⁿ.3⁻²ⁿ⁺²

When bases are same then we will add the powers

3ⁿ⁻²ⁿ⁺²

3²⁻ⁿ

Hence 3²⁻ⁿ is the simplification of  3ⁿ/9ⁿ⁻¹ in powers of 3.

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Step-by-step explanation: Isolate z by itself:

To simplify variables with powers, subtract the smaller power from the bigger power:

The exponent will be -3

Answer:

X is 110cm

Step-by-step explanation:

35degrees plus 90degrees equals 125degrees

So 125-15=110cm

Answer:

liam has 44 chairs with him

Answer:

liam has 71 chairs

hope it helps you

Answer:

Option D

Step-by-step explanation:

I dont really know but i think its D

Answer:

a

Step-by-step explanation:

Answer:

B. 1 1/4 cup

Step-by-step explanation:

1/3 times 3 3/4 gives you 1 1/4! Hope that helps!

Answer:

Step-by-step explanation:

11/4

ez as pie

Answer:

x=-4, y=7

Step-by-step explanation:

According to the first equation, y = -4x - 9, so we can substitute y in the second equation for -4x - 9.

y = 3x + 19

-4x - 9 = 3x + 19

Add 9 to both sides

-4x = 3x + 28

Subtract 3x

-7x = 28

Divide by -7

x = -4

Plugging this into the equation, we have:

y = -4x - 9

y = -4(-4) - 9

y = 16 - 9

y = 7

9514 1404 393

Answer:

Step-by-step explanation:

Let d, q, h represent the numbers of dimes, quarters, and halves Brian has. We can write 3 equations in these 3 variables:

  10d +25q +50h = 500 . . . . value of the coins, in cents

  d + q + h = 30 . . . . . . . . . . . total number of coins

  4h = q . . . . . . . . . . . . . . . . . four times as many quarters as halves

Using the last equation to substitute into the other two, we get ...

  10d + 150h = 500

  d +5h = 30

The second equation can be written as ...

  5h = 30 -d

and the first can be written to facilitate substitution:

  10d +30(5h) = 500

  10d +30(30-d) = 500 . . . . . substitute for 5h

  900 -20d = 500 . . . . . . . . . simplify

  400 = 20d . . . . . . . . . . . . . add 20d-500 to both sides

  d = 20 . . . . . . . . . . . . . . . . divide by 20

Brian has 20 dimes.

Answer:

Ali 25

Beth 15

Clare 32

Step-by-step explanation:

Here, we want to get the score of the three

let Ali’s score be x

He scored 10

more than Beth; Beth score will be x-10

Let us now work with the ratio

x/x-10 = 5/3

3x = 5(x-10)

3x = 5x - 50

5x-3x = 50

2x = 50

x =

50/2

x = 25

Beth will

score 25-10 = 15

score had 7 more than Ali,

25 + 7 = 32

Step-by-step explanation:

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find the least common multiple (LCM) of the two denominators.

Answer:

Cameroon

Step-by-step explanation:

Hope it Helps!

:)

Answer:

B

Step-by-step explanation:

Reflect x-axis means (x,y) becomes (x, -y)

Shrink by 1/3 means f(x) = x becomes f(x) = 1/3x

Up 4 units means f(x) = x becomes f(x)= x + 4

So lets put that together

[tex]f(x) = \sqrt{x}[/tex]

[tex]f(x) = -\sqrt{x}[/tex]

[tex]f(x) = -\frac{1}{3} \sqrt{x}[/tex]

[tex]f(x) = -\frac{1}{3} \sqrt{x} + 4[/tex]

Answer: 6 is the slope and 4 is the y-intercept.

Step-by-step explanation:

Based on the question, I feel this is the best way to answer your question.  I'm assuming you are in a basic graphing class.

The best, most useful thing for you right now would be to learn slope-intercept form, y = mx + b, where m and b are constants.

Simply add 6x to both sides to get into this form

y = 6x + 4.

In slope-intercept form, m is the slope, and b is the y-intercept.  Thus, 6 is the slope and 4 is the y-intercept.

Hope it helps and lmk if you need more <3 :)

Given:

The graph of a quadratic function [tex]y=x^2-4x+3[/tex].

To find:

(a) The coordinates of the turning point.

(b) The roots of the equation [tex]y=x^2-4x+3[/tex]

Solution:

(a)

From the given graph it is clear that first the graph is decreasing after that it is increasing. So, the minimum point is the turning point.

The turning is at (2,-1) because the distance between the turning point from the y-axis is 2 and from the x-axis is 1 in the downward direction.

Therefore, the coordinates of the turning point are (2,-1).

(b)

The x-intercepts are the roots of an equation because roots are the x-coordinates of the points where the graph intersect the x-axis.

From the given graph it is clear the graph intersect the x-axis at x=1 and x=3.

Therefore, the roots of the given equation are 1 and 3.

Answer:37

Step-by-step explanation:

rounding to the nearest integer is what is in the tenth place so .1 is in the tenth place so 37.3 rounded to the nearest tenth place would be 37

Answer:

u do 14 x 8 then + 78 then x = your answer

Step-by-step explanation:

sorry I dont have a calculator near me but just put that in!!!

Answer:

1/2,5/10,4/8

Step-by-step explanation:

half of the box is shaded.

this means that 1/2 is shaded.

also, there are 5/10 boxes shaded.

we can make up another one: 4/8

all of these can be reduced to 1/2.

The expression that is equivalent to 27x² - 72x/9x is 3x - 8

The expression whose equivalence is to be determined is given as

27x^2-72x/9x

The above expression can be properly expressed as follows

27x² - 72x/9x

Introduce the use of brackets

So, we have

(27x² - 72x)/9x

Factor out x from the numerator

This gives

(27x² - 72x)/9x = x(27x - 72)/9x

Cancel out the common factor

(27x² - 72x)/9x = (27x - 72)/9

Factor out 9 from the numerator

This gives

(27x² - 72x)/9x = 9(3x - 8)/9

Cancel out the common factor

(27x² - 72x)/9x = 3x - 8

Hence, the equivalent expression is 3x - 8

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Answer:

2.5 cups

Step-by-step explanation:

12.5÷5=2.5 cups

hope that helped :)

Answer:

4.a

Step-by-step explanation:

hope it helps

Answer:

2/3

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points, then simplify:

(y2 - y1) / (x2 - x1)

(-1 + 7) / (4 + 5)

6/9

= 2/3

So, the slope of the line is 2/3

Answer:

y = x/2 +4

Step-by-step explanation:

new slope = -1/-2 = 1/2

x1 = -4, y1= 2

y-y1 = m(x-x1)

y - 2 = 1/2 {x- (-4)}

y-2 = 1/2 (x+4)

y-2 = x/2 + 2

y = x/2 +2+2

y = x/2 +4

Answer:

Step-by-step explanation:

b hbbjnhbjjnh

Answer:

[tex]1)by \: splitting \: middle \: term \\ 2)factorisation \\ .......[/tex]

Answer:

Infinitely Many Solutions!

Steps I used to get the answer :

1. Cancel -3x−3x on both sides.

15=11+4

2. Simplify  11+4 to  15.

15=15

3. Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions!

Done by NeighborhoodDealer.

Answer:

Step-by-step explanation:

Solve for x:

15 - 3x = 11 - 3x + 4

Subtract 4 from both sides

15 - 3x - 4 = 11 - 3x + 4 - 4

11 - 3x = 11 - 3x

This equation has infinite solutions since both sides of the equation are equal.

Answer:

an expression equivalent to f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3

Step-by-step explanation:

As given ,

f(x) = x³ , g(x) = 9 , h(x) = 2x

Now,

f(2x) = (2x)³ = 2³.x³ = 8x³

⇒f(2x) = 8x³

Now,

[tex]\frac{g(x)}{h(x)} = \frac{9}{2x} = \frac{9}{2}x[/tex]

⇒[tex]3\frac{g(x)}{h(x)} = 3.\frac{9}{2}x = \frac{27}{2}x[/tex]

∴ we get

f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3