Trevor is making 2/3 of a recipe for chicken noodle soup. He adds ½ cup of chopped celery. The equation 2/3 c = 1/2 can be used to find the number of cups c of chopped celery in the original recipe. How many cups of chopped celery does the original recipe call for?

Answer:

B and D

Step-by-step explanation:

Hope this helped :)

Answer:

f^-1(x) = (x² + 21)/7

Step-by-step explanation:

Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:

Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:

y² = 7x – 21

Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:

y² + 21 = 7x

Step 3: Divide both sides of the equation by 7. Doing that we have:

x = (y² + 21)/7

Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:

f^-1(x) = (x² + 21)/7

Answer:look at explanation

Step-by-step explanation:

Answer:

shouldn't it be u-107=191 because if 107 LESS then u is 191 then you would subtract 107 from u to get the 191

Answer:

12

Step-by-step explanation:

~Turn the percentage into a decimal

4% -> 0.04

~Multiply

300 * 0.04 = 12

Best of Luck!

Answer:

Prof B and Prof D

Step-by-step explanation:

Step-by-step explanation:

From the question  we are told that

Sample size 100  

Instructor    Number of Failures  

Prof. A         13

Prof. B         0

Prof. C         11

Prof. D         16

Confidence level= 0.95

From Z table

Z=1.96

Generally proportion for failure is mathematically given as

  [tex]Proportion\ of\ Failure\ P=\frac{Number\ of\ Failure\ N}{Sample\ size\ S}[/tex]

  [tex]P=\frac{N}{S}[/tex]

For Prof A

    [tex]P_A=\frac{N_A}{S}[/tex]

    [tex]P_A=\frac{13}{100}[/tex]

    [tex]P_A=0.13[/tex]

For Prof B

    [tex]P_B=\frac{N_B}{S}[/tex]

   [tex]P_B=\frac{0}{100}[/tex]

    [tex]P_B=0[/tex]

For Prof C

    [tex]P_C=\frac{N_C}{S}[/tex]

    [tex]P_C=\frac{11}{100}[/tex]

   [tex]P_C=0.11[/tex]

For Prof D

     [tex]P_D=\frac{N_D}{S}[/tex]

   [tex]P_D=\frac{16}{100}[/tex]

   [tex]P_D=0.16[/tex]

Generally the average proportional failure is mathematically given as

    [tex]P_a_v_g=\frac{0.13+0+0.11+0.16}{4}[/tex]

   [tex]P_a_v_g=0.10[/tex]

Therefore  having this we calculate for the control limits

Generally the upper control limit UCl is mathematically given as

Upper control limits:

  [tex]UCL =P_a_v_g +Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]

  [tex]UCL =0.1 +1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]

  [tex]UCL =0.1 +1.96*0.03[/tex]

  [tex]UCL =0.1 +0.0588[/tex]

  [tex]UCL =0.1588[/tex]

Generally the upper control limit UCl is mathematically given as

Lower limit control limits:

 [tex]UCL =P_a_v_g _Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]

 [tex]UCL =0.1 -1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]

  [tex]UCL =0.1 -1.96*0.03[/tex]

  [tex]UCL =0.1 -0.0588[/tex]

  [tex]UCL =0.0412[/tex]

Therefore the Range is 0.0412 to 0.1588

Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options

Answer:

Hi...

59+4=63

63/7=9

So Nina will be 9 years old

Answer:

H

Step-by-step explanation:

Because I’m decimal if it is negative the greater the number in negative the less it is

Answer:

7.) 1 (1,1)

8.) not sure

9.) 1 (-2,-2)

Step-by-step explanation:

I used rise over run

Answer:

7) Slope is 1

8) unidentified

9)  i can't really see the picture but i suggest you grab two points from the line and plug them into the equation (y2 - y1) / (x2 - x1).

Step-by-step explanation:

Step-by-step explanation:

Given that,

∠PSQ = 13x+7

∠QSR = 42x+8

We need to find the measure of angles.

We can use the property of linear pair. ATQ,

13x+7 + 42x+8 = 180 (Linear pair)

Taking like terms,

13x+42x = 180 - 7-8

55x = 165

x = 3

So,

∠PSQ = 13x+7 = 13(3) + 7 = 46°

∠QSR = 42x+8 = 42(3) + 8 = 134°

Hence, this is the required solution.

Answer:

Yes, y = 7x(4x) is linear.

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1. Therefore, this equation is linear.

Answer:

Second option!!!

Step-by-step explanation:

Hope it helps you:)

Answer:

Step-by-step explanation:

The formula for the volume is given by

(side)3=volume

Since we have the volume, we must take the cube root of the volume to find the length of any one side (since it is a cube, all of the sides are equal).

(side)3−−−−−−√3=side=volume−−−−−−√3

Plugging in 216 for the volume, we end up with

side=6 cm

Answer:

a = ∛v

Step-by-step explanation:

Edge (a) volume (v)

v = a³

a = ∛v

Answer:

y=7

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

[tex] \frac{3}{4} n = \frac{1}{2} \\ \\ multiply \: both \: sides \: by \: \frac{4}{3} \\ \\ \frac{ \cancel4}{\cancel3} \times \frac{\cancel3}{\cancel4} n = \frac{\cancel4 \: \: \red{ \bold2}}{3} \times \frac{1}{ \cancel2} \\ \\n = \frac{2 \times 1}{3 \times 1} \\ \\ n = \frac{2}{3} [/tex]

Answer:

105

Step-by-step explanation:

9 + (1/2)4 x 48

9 + 96 = 105

Answer:

105

Step-by-step explanation:

SO, based on the way you worded it, the equation is

[tex]9 + 1/2 *4*48[/tex]

You multiply [tex]1/2 * 4[/tex] first.

This gives you 2.  [tex]2*48=96[/tex]

96 + 9 =105

Answer:

19.5

Step-by-step explanation:

we will multiply the distance 6.5 miles per hour by 3 hours .. thenanswer is 19.5 miles

Answer: 3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3

The answer is 14

the correct answer would be 45

Welp,  I think this is it?

The proportion y = kx for k = 0 will be y = 0 and construct a horizontal line passing through the origin that is the x-axis.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given the direct proportion

y = kx

Now for k = 0

y = 0 so y = 0 is a horizontal line passing through the origin that is the x-axis.

In the graph below I have attached

Black line y = 4x ( k = 4)

Red line y = x ( k = 1)

Since k is decreasing the lines are becoming horizontal.

Hence "The proportion y = kx for k = 0 will be y = 0 and construct a horizontal line passing through the origin that is the x-axis".

For more information about the graph of a function

brainly.com/question/27757761

#SPJ2

Answer:

umumumuykik.iu.fg

Step-by-step explanation:

lui;iou;uyfluylfuy;lui;uy;

Answer: 83.2/26= 3.2  

90. 54/18= 93

Step-by-step explanation: Divide the tens column dividend: by the divisor

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

dividend: can be divided by another number)

divisor: Number that divides into another without a remainder.

Answer: The proportion of all AAII subscribers who are bullish on the stock market is 0.4094

Step-by-step explanation:

 Given the data in the question;

The total number of American Association of Individual Investors in stock market are;

409 + 299 + 291 = 999

The proportion of all AAII subscribers who are bullish on the stock market will be:

Market = 409 / 999

= 0.4094

Therefore, The proportion of all AAII subscribers who are bullish on the stock market is 0.4094

9514 1404 393

Answer:

  AE = 3

Step-by-step explanation:

First of all, we need to find corresponding sides that are defined in both figures. The table below shows the given values.

From the table, we can write the proportion ...

  EA/RS = BC/TU . . . corresponding sides are proportional

  EA/6 = 4/8 . . . . . . . substitute given lengths

  EA = 6(4/8) = 3

The length of AE is 3 units.

Answer:

75%

Step-by-step explanation:

1/4 is 25

2/4 is 50

3/4 is 75

4/4 is 100

Answer:

Step-by-step explanation:

Answer:

2^6 * 3

Step-by-step explanation:

Answer: 33.8

Step-by-step explanation:

Answer:

60 more cubes are needed

Answer:

-32

Step-by-step explanation:

-4 + f(8) + 3 x g(-7) = ?

To find f(8), look at each of the f(x) function and find x = 8. The y value is the answer you will plug in for f(8). The same goes for g(-7), but you will be looking at the g(x) function at x = -7.

f(8) = -4

g(-7) = -8

Make sure you solve in the correct order using PEMDAS.

-4 + (-4) + 3 x (-8) = -32