An ice cream shop uses the following ingredients to make 1 sundae.


Ingredient Amount


Ice cream 2 scoops

Sprinkles 4 spoonful's

Whipped cream 2 tablespoons



How many sundaes did the shop make if they used 32 spoonfuls of sprinkles?


Pleaseee help :( Its about ratios :( :0

Answer:

See attachment for graph

Step-by-step explanation:

See comment for correct question

Given

[tex]y = \log_bx[/tex]

Required

The corresponding points on [tex]y =b^x[/tex]

On the graph, we have:

[tex](x_1,y_1) \to (1,0)[/tex]

[tex](x_2,y_2) \to (2,1)[/tex]

[tex](x_3,y_3) \to (4,2)[/tex]

[tex](x_4,y_4) \to (8,3)[/tex]

[tex](x_5,y_5) \to (16,4)[/tex]

First, we solve for b in [tex]y = \log_bx[/tex]

Using laws of logarithm, the equivalent of the above is:

[tex]x = b^y[/tex]

[tex](x_2,y_2) \to (2,1)[/tex] implies that:

[tex]2 = b^1[/tex]

[tex]2 = b[/tex]

Rewrite as:

[tex]b =2[/tex]

So, the equation [tex]y =b^x[/tex] becomes:

[tex]y = 2^x[/tex]

Using the same values of x, we have:

[tex](x_1,y_1) = (1,2)[/tex]

[tex](x_2,y_2) = (2,4)[/tex]

[tex](x_3,y_3) = (4,16)[/tex]

[tex](x_4,y_4) = (8,256)[/tex]

[tex](x_5,y_5) = (16,65536)[/tex]

See attachment for graph

The points (1,2), (2,4), and (4,16) are plotted on the graph attached below and this can be determined by using the given data.

Given :

Logarithmic Function  --  [tex]\rm y = log_b(x)[/tex]    --- (1)

The following steps can be used in order to determine the corresponding points that must be on the graph [tex]\rm x = b^y[/tex]:

Step 1 - Now, substitute the value of x and y that is (2,1) in the expression [tex]\rm x = b^y[/tex].

[tex]\rm 2 = b^1[/tex]

b = 2

Step 2 - Now, substitute the value of b in the equation [tex]\rm y=b^x[/tex].

[tex]\rm y = 2^x[/tex]    --- (2)

Step 3 - At (x = 1) the above expression becomes:

y = 2

Step 4 - At (x = 2) the expression (2) becomes:

y = 4

Step 5 - At (x = 4) the expression (2) becomes:

y = 16

The graph of [tex]\rm y = 2^x[/tex] is attached below.

For more information, refer to the link given below:

https://brainly.com/question/14375099

Answer:

[tex]x + 2x + 34 + 20 = 180 [/tex]

Answer:

x=42

Step-by-step explanation:

Statement Reason

1. m∠AOB = 180° —  Def. of straight ∠

2. m∠AOE + m∠EOF + m∠FOB = m∠

AOB      —-    Parts − whole Postulate

3. x + 2x+34° + 20° = 180°  —-   Substitution

4. x = 42°.  —- Algebra

This is statement and reason! (no problem rsm people)

Put the data set in order:

12, 14, 24, 31, 41, 46, 49

In order to find a value of x using the range, x has to be on either end of the data set. Meaning:

x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x

Since the range is the highest value minus the lower value, you can set two equations for x:

x - 12 = 63

x = 75

49 - x = 63

x = -14

Thus, x = 75, -14

Two values of x are -14 & 75

The difference between highest and lowest numbers of the set of numbers is called the range of numbers.

The given values are 12, 46, 31, 49, 24, 41, 14

Arranging all the values in ascending order we get,

12, 14, 24, 31, 41, 46, 49

If x will be included, then x is in the 1st position or in the last position.

Then the values are x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x

The range of the number is 63

So, we get two equations from it.

1 ) 49-x = 63

2 ) x-12 = 63

Solving eq. (1) we get, x = 49-63 = -14

Solving eq. (2) we get, x = 63+12 = 75

So the values of x are -14 & 75

Learn more about range of number here :

https://brainly.com/question/10081172

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Answer:

a: 1/22

Step-by-step explanation:

cross multiply 1/2a=11

which will give 22a=1

divide both sides by 22

to give a=1/22

Answer:

Area of label = 100 inch² (Approx.)

Step-by-step explanation:

Given:

Height of label = 8 inches

Diameter of label = 4 inches

Find:

Area of label

Computation:

Design of label = Rectangle

So,

Width of label = 2πr

Width of label = 2(3.14)(4/2)

Width of label = 2(3.14)(2)

Width of label = 12.56 inches

Area of label = Height of label x Width of label

Area of label = 12.56 x 8

Area of label = 100.48

Area of label = 100 inch² (Approx.)

Answer:

a.-8x-12y

Step-by-step explanation:

i hope it will help u

The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

The equation of the line below which is given in the question

4x - 3y = 8

We have to determine which is perpendicular to the given equation of the line

First, we need to find the slope of the given equation.

4x - 3y = 8

- 3y = - 4x + 8

Divided by -3 into both sides of the above equation,

y = (- 4/-3)x + 8/(-3)

y = (4/3)x - 8/3

Comparing the above equation with the standard form of line y = mx + b

Here m is the slope of the line,  in this case, m = 4/3.

As per option (C),

- 3y = 8 + 4x

Divided by -3 into both sides of the above equation,

y = - 4/3x - 8/3

Here the slope of this line is - 4/3

Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.

Hence, the correct answer would be option (C).

Learn about the perpendicular lines here :

https://brainly.com/question/18271653

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Answer:

( 25 x 100 )

option 1 is the answer

Step-by-step explanation:

Remaining options are not correct since they don't have 100 as a factor.

Answer:

201.14 , 502.85

Step-by-step explanation:

704/7 = 100.57

2*100.57 = 201.14

5*100.57 = 502.85

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in  x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

Given:

Dividing a number by 2 always results in a smaller number.

To find:

The counterexample to the given claim.

Solution:

If 0 is divided by is divided by any non-zero real number [tex]a[/tex], then

[tex]\dfrac{0}{a}=0[/tex]

Let us consider the unknown number be 0. Then dividing a number by 2, we get

[tex]\dfrac{0}{2}=0[/tex]

Here, the result is not a smaller number because [tex]0=0[/tex].

Therefore, the counterexample to the given claim is "Dividing 0 by 2".

Answer:

-1

Step-by-step explanation:

Answer:

8^1/3

Step-by-step explanation:

(8^5/3)^1/5

8^5/3×1/5

8^5/15

8^1/3

Answer:

Step-by-step explanation:

Exponent Rule: [tex](a^{m})^{n}=a^{m*n}[/tex]

[tex](8^{\frac{5}{3}})^{\frac{1}{5}}= 8^{\frac{5}{3}}*{\frac{1}{5}}\\\\\\=8^{\frac{1}{3}}\\\\= \sqrt[3]{8} \\\\= \sqrt[3]{2*2*2}\\\\= 2[/tex]

Answer:

y =2/3x -2

Step-by-step explanation:

The y intercept is -2

The slope is

m = (y2-y1)/ (x2-x1)

Using the points (0,-2) and  (3,0)

m = ( 0 - -2)/(3 -0)

    = (0+2)/(3-0)

   = 2/3

The slope intercept form is

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

y =2/3x -2

Answer:

D: (5, 0) and (4, 0)

Step-by-step explanation:

The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.

Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).

Answer:

Solution given:

in 1990

cost of orange[C.P]=$0.56

in 2003

cost of orange[S.P]=$0.86

now

increased price[profit]=S.P-C.P=$0.86-$0.56=$0.3

Now

increased percent [profit%]=?

we have

profit%=profit/c.p*100%

=0.3/0.56*100=53.57℅

Therefore

the oranges appreciated by 53.57%

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

we have, 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound.

so,

[tex]\sf{increase_{(profit)}=0.86-0.56=0.3 }[/tex]

we know that,

[tex]\bold{ profit\%=\dfrac{profit}{C.P}×100 }[/tex]

According to the question,

Answer:

[tex]18n - 24[/tex]

Step-by-step explanation:

[tex]6(3n - 4) = 18n - 24[/tex]

Answer:

18n-24

Step-by-step explanation:

6(3n-4)

Open the brackets .......

(6×3n)-(6×4)

=18n_24

Answer:

11 feet

Step-by-step explanation:

Use the circumference formula, C = [tex]\pi[/tex]d

Plug in 11[tex]\pi[/tex] as C, and solve for d:

C = [tex]\pi[/tex]d

11[tex]\pi[/tex] = [tex]\pi[/tex]d

11 = d

So, the diameter is 11 feet

Answer:

[tex]y+1=4(x+2)[/tex]

Step-by-step explanation:

Hi there!

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point

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

Plug in the slope and the point

[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]

I hope this helps!

Answer:

x = -1

Step-by-step explanation:

3x - 1/9 (27) = 18

3x - 3

Divide both sides be 3

x = -1

Answer:

x = 7

Step-by-step explanation:

to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :

3x - 1/9(27) = 18

3x - 3 = 18

3x = 21

x= 7

The answer is: (2, 3) :)

Answer:

What was the average temperature change per hour -3 degrees per hour​

Step-by-step explanation:

Take the temperature drop and divide by the time

-13 1/5 ÷ 4 2/5

Change to improper fractions

-(13 *5+1)/5 ÷ (4*5+2)/5

-66/5 ÷22/5

Copy dot flip

-66/5 * 5/22

Rewrite

-66/22 * 5/5

-3 degrees per hour

Since we are looking for a drop

3 degrees per hour

Answer:

155÷8= 19,375

The unit price of each wagon can be obtained by dividing (155 by 8)

luck in your tasks.

Step-by-step explanation:

A you see here, we have 3 different shapes. a Triangle, a big and small rectangle. Lets start with the triangle.

between the 8 in's, theres a gap. 5+4=9,

9+8+8=25. we have the length of the triangle.

9*25 divided by 2= 112.5. thats are area of the triangle.

for the bigger rectangle, 20*9=180, the area of the rectangle, and the smaller rectangle at the bottom is 16.

Now we add:

112.5+180+16=308.5  

hope this helps!

Answer:

look at the png below

Step-by-step explanation:

Answer:

L = [tex]\sqrt{52^2 + 30^2}[/tex]

L = 60.033

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (5, 1) ← 2 points on the line

m = [tex]\frac{5-(-3)}{1-(-1)}[/tex] = [tex]\frac{5+3}{1+1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → C

Given:

In a quadrilateral ABCD, diagonals AC and BD intersect at point E.

[tex]AE\cong EC[/tex]

[tex]BE\cong DE[/tex]

To prove:

The figure is a parallelogram.

Solution:

We know that if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

In a quadrilateral ABCD, diagonals AC and BD intersect at point E.

[tex]AE\cong EC[/tex]

[tex]BE\cong DE[/tex]

Since the diagonals AC and BD of a quadrilateral ABCD bisect each other, therefore the quadrilateral ABCD is a parallelogram.

Hence proved.

Answer:

mark me brainliest..

Step-by-step explanation:

plz open the below file and hope it helps!!

Answer:

hope this helppppp youuu

[tex]\frac{-1}{32}[/tex] is a required answer.

Answer:

Solution given:

[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]

take power common

[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]

Reduce the fraction

[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]

make the1 and 8 in terms power 3

[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]

take the common power

[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]

Reduce power

[tex](\frac{-1}{2})^{5}[/tex]

now

distribute power

[tex]\frac{-1^{5}}{2^{5}}[/tex]

[tex]\frac{-1}{32}[/tex]