according to a salad recipe each serving requires 4 teaspoons of vegetable oil and 12 teaspoons of vinegar. if 14 teaspoons of vegetable oil were used how many teaspoons of vinegar should be used

Answers

Answer 1

Answer:

42 teaspoons of vinegar should be used

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

4 teaspoons of vegetable oil and 12 teaspoons of vinegar. 14 teaspoons of vegetable oil were used

So

4 teaspoons of vegetable oil - 12 teaspoons of vinegar

14 teaspoons of vegetable oil - x teaspoons of vinegar

So

[tex]4x = 12*14[/tex]

Dividing both sides by 4:

[tex]x = 3*14 = 42[/tex]

42 teaspoons of vinegar should be used


Related Questions

Find the output, y, when the input, x, is -1

Answers

Answer:

No solution is possible from the information provided

Step-by-step explanation:

from first principle , find the derivative of y = x³ + 3x² - 5x

Answers

Answer:

y' = 3x² + 6x - 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 3x² - 5x

Step 2: Differentiate

Basic Power Rule:                                                                                             y' = 3x³⁻¹ + 2 · 3x²⁻¹ - 1 · 5x¹⁻¹Simplify:                                                                                                             y' = 3x² + 6x - 5

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes. For a randomly received emergency call, find the following probabilities. (For each answer, enter a number. Round your answers to four decimal places.)

a. between 5 and 10 min
b. less than 5 min
c. more than 10 min

Answers

Answer:

a) 0.5447

b) 0.0228

c) 0.4325

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes.

This means that [tex]\mu = 9.6, \sigma = 2.3[/tex]

a. between 5 and 10 min

This is the p-value of Z when X = 10 subtracted by the p-value of Z when X = 5. So

X = 10

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 9.6}{2.3}[/tex]

[tex]Z = 0.17[/tex]

[tex]Z = 0.17[/tex] has a p-value of 0.5675

X = 5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 9.6}{2.3}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228

0.5675 - 0.0228 = 0.5447 probability that a randomly received emergency call is between 5 and 10 minutes.

b. less than 5 min

p-value of Z when X = 5, which from item a), is 0.0228, so 0.0228 probability that a randomly received emergency call is of less than 5 minutes.

c. more than 10 min

1 subtracted by the p-value of Z when X = 10, which, from item a), is of 0.5675.

1 - 0.5675 = 0.4325

0.4325 probability that a randomly received emergency call is of more than 10 minutes.

what is the unit rate of $4 and 8 pounds

Answers

Answer:

32

Step-by-step explanation:

guys i need this an answers​ full please

Answers

Answer:

See below.

Step-by-step explanation:

14.

12.5/2.5 = 5

15.

(i) [(-75)/15]/5 = -5/5 = -1

(ii) 13 / [(-2) + 1] = 13 / (-1) = -13

16.

(i) 39 + (-24) - 15 = 0

36 + (-52) - (-36) = 20

Answer: <

(ii) (-10) - 4 = -14

(-10) - (-4) = -10 + 4 = -6

Answer: <

17.

He reads 1/4 book in 1 hour.

He reads 1 book in 4 hours.

In 2 1/6 hours he reads:

(2 1/6)/4 part of the book = (13/6) / 4 = 13/24 part of the book

(i) 2/5 / 1 1/2 = 2/5 / 3/2 = 2/5 * 2/3 = 4/15

(ii) 7/3 / 2 = 7/3 * 1/2 = 7/6

Answer:

14. 5

15. (i) -1     (ii) -13

16. (i) <    (ii) <

17. 24/13

Step-by-step explanation:

the sum of 1+2-3-4+5+6-7-8+9+10-...+1378

Answers

Answer:

1389

Step-by-step explanation:

hope this helps?

1389 100% ok so pls give me points

graph the
function f(x)=10(2)x

Answers

Answer:

G.o.o.g.l.e

Step-by-step explanation:

If you search up 'f(x)=10(2)x' on g.o.o.g.l.e it will draw the graph for you.

If this helps you, please give brainliest!

khalil has a circular cake that he plans to share equally betweeb himself and 5 friends. if tge cake is 8 inched in a diameter, what will be the length of the arc of each slice of cake.

Answers

Answer:

4.2

Step-by-step explanation:

The length of the arc of each slice of cake will be 4.18 inches if Khali shares the cake between him and 5 friends equally.

What is the circumference of a circle?

The circumference is the length of the outer boundary of the circle. It can be calculated as under:

Circumference=2πr

How to find length of arc?

We have been given that the diameter of the cake is 8 inches So, the radius becomes 4 inches. We have to calculate the circumference of the cake. so the circumference becomes:

Circumference=2π(4)=8π

=8*22/7

=25.1

Then we have to divide it into 6 people so it will be 25.1/6=4.18 inches.

Hence the length of the arc will be 4.8 inches.

Learn more about circumference at https://brainly.com/question/20489969

#SPJ2

Evaluate 9(4x – 15) if x = 3.

Answers

Answer:

-27

Step-by-step explanation:

9(4x – 15)

Substitute 3 for x

9((4)(3) - 15)

Multiply (4)(3) = 12

9 ( 12 - 15 )

Subtract 12 - 15 = -3

9(-3)

Multiply 9(-3) = -27

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-27}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: 9 \: (4x - 15)[/tex]

Plugging in the value [tex]x = 3[/tex] in the above expression, we have

➼ [tex] \: 9 \: (4 \times 3 - 15)[/tex]

➼ [tex] \: 9 \: (12 - 15)[/tex]

➼ [tex] \: 9 \: ( - 3)[/tex]

➼ [tex] \: - 27[/tex]

Note:-

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

6. a semicircle has as its diameter the hypotenuse of a right triangle shown below. determine the area of the semicircle to the nearest tenth of a square centimeter. show how you arrived at your answer.

Answers

Answer:

[tex]A = 137.3cm^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The area of the semicircle

First, we calculate the hypotenuse (h) of the triangle

Considering only the triangle, we have:

[tex]\cos(68) = \frac{7}{h}[/tex] --- cosine formula

Make h the subject

[tex]h = \frac{7}{\cos(68)}[/tex]

[tex]h = \frac{7}{0.3746}[/tex]

[tex]h = 18.7[/tex]

The area of the semicircle is then calculated as:

[tex]A = \frac{\pi h^2}{8}[/tex]

This gives:

[tex]A = \frac{3.14 * 18.7^2}{8}[/tex]

[tex]A = \frac{1098.03}{8}[/tex]

[tex]A = 137.3cm^2[/tex]

You decide to increase your Utah county coronavirus sample to 10 counties and estimate the same sample standard deviation you did with your sample of 5 counties. This will ______________ the margin of error associated with your 90% confidence interval.

Answers

Answer:

This will decrease the margin of error associated with your 90% confidence interval.

Step-by-step explanation:

Margin of error:

The margin of error of a confidence interval is given by a formula that follows the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s is related to the standard deviation and n is related to the size of sample.

From the formula:

M and n are inversely proportional, which means that if the sample size is increased, the margin of error decreases.

In this question:

Sample size increases from 5 to 10, so the margin of error decreases.

Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR. Round your answer to the nearest tenth if necessary.

Answers

Answer:  43.1

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

Work Shown:

LM/PQ = MN/QR

13/56 = 10/x

13*x = 56*10

13x = 560

x = 560/13

x = 43.0769 approximately

x = 43.1

Segment QR is roughly 43.1 units long.

Answer:

QR = 43.1

Step-by-step explanation:

since they are similar use these ratios

NM/QR = LM/PQ

10/QR = 13/56

do cross multiplication

QR*13 = 56*10

QR = 560/13

QR = 43.07

QR = 43.1

therefore the measure of side QR is 43.1.

A, B, and C are collinear points:
B is between A and C.
If AB = 3x + 4, BC = 4x - 1, and AC = 6x + 5,
find AC.

Answers

9514 1404 393

Answer:

  AC = 17

Step-by-step explanation:

The segment sum theorem tells you ...

  AB +BC = AC

Substituting the given expressions, we have ...

  (3x +4) +(4x -1) = (6x +5)

  x = 2 . . . . . . . . . . . . . . . . . . subtract 3+6x from both sides

  AC = 6x +5 = 6(2) +5

  AC = 17

_____

  AB = 10, BC = 7

A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensions of the frame. (Round your answers to two decimal places.)

Answers

Answer:

[tex]\approx 0.59\text{ ft by }0.91\text{ ft}[/tex]

Step-by-step explanation:

Let [tex]\ell[/tex] represent the length of the rectangle. The width can be represented as [tex]0.64\ell[/tex].

The perimeter of a rectangle with lengths [tex]l[/tex] and [tex]w[/tex] is given by [tex]p=2l+2w[/tex].

Thus, we have:

[tex]2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91[/tex]

The width is then [tex]0.64(0.91463414634)=0.58536585365\approx 0.59[/tex].

\left(a+b\right)^2 hihihihihiihihihihihih

Answers

Consider, we need to find the expanded form of the given expression.

Given:

The expression is:

[tex]\left(a+b\right)^2[/tex]

To find:

The expanded form of the given expression.

Solution:

We have,

[tex]\left(a+b\right)^2[/tex]

It can be written as:

[tex]\left(a+b\right)^2=(a+b)(a+b)[/tex]

Using distributive property of multiplication over addition, we get

[tex]\left(a+b\right)^2=a(a+b)+b(a+b)[/tex]

[tex]\left(a+b\right)^2=a(a)+a(b)+b(a)+b(b)[/tex]

[tex]\left(a+b\right)^2=a^2+ab+ab+b^2[/tex]

[tex]\left(a+b\right)^2=a^2+2ab+b^2[/tex]

Therefore, the expanded form of the given expression is [tex]a^2+2ab+b^2[/tex].

How many times bigger is a group of 20 coins than a group of 5 coins

Answers

Answer:

It is there difference:

20-5

15

Find the sine of ZF.
H
2/2
3/3
F
Write your answer in simplified, rationalized form. Do not round.
sin (F) =

Answers

Answer:

1/9 √57

Step-by-step explanation:

the length of HG = √(3√3² - 2√2²)

= √(27-8) = √19

sin L F = HG/GF = √19/ 3√3

= 1/9 √57

Helpppp plsss I’m trying to get my grade up

Answers

Answer:   1.75 square feet

This converts to the improper fraction 7/4

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

Work Shown:

3/4 = 0.75

area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft

area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft

total area = 0.75+1 = 1.75 sq ft

This converts to the improper fraction 7/4 because

1.75 = 1 + 0.75

1.75 = 1 + 3/4

1.75 = 4/4 + 3/4

1.75 = (4+3)/4

1.75 = 7/4

Joe drives for 3 hours and covers 201 miles. In miles per hour, how fast was he driving?​

Answers

Answer:

50

Step-by-step explanation:

Graph the image of Kite BCDE after a translation 5 units down.​

Answers

Answer:

Move each point, one by one, 5 units down

so, D(-7,10) becomes [tex]D^{1}[/tex](-7,5). Y value was decreased by 5

You are literally going to take the points and move them down 5 units. Ex.) e will become (-10,0)

Find the percent of decrease from 46 songs to 41 songs. Round to the nearest tenth of a percent if necessary.
percent of decrease
%

Answers

Answer:

10.9 %

Step-by-step explanation:

46 - 41 = 5

5/46 * 100% = 10.8695652174%

Rounded

10.9 %

Noah is ordering a taxi from an online taxi service. The taxi charges $2.50 just for the pickup and then an additional $2 per mile driven. How much would a taxi ride cost if Noah is riding for 4 miles? How much would a taxi ride cost that is mm miles long?

Answers

Answer:

$10.50

Step-by-step explanation:

We can make an equation

2.50+2x=?

x=4 because we are riding 4 miles.

so it's 2.5+2*4=?

let's solve

2.5+8=$10.50

The Cost of the taxi ride for 4 miles is $10.50 and Charge for m miles is 2.50 + 2m

Given:

Pick up charge = $2.50

Charge per mile = $2

Number of miles = 4

Cost of the taxi ride for 4 miles = Pick up charge + (Charge per mile + Number of miles)

= 2.50 + (2 × 4)

= 2.50 + 8

= $10.50

Charge for m miles = Pick up charge + (Charge per mile + Number of miles)

= 2.50 + (2 × m)

= 2.50 + 2m

Therefore, Cost of the taxi ride for 4 miles is $10.50 and Charge for m miles is 2.50 + 2m

Read more:

https://brainly.com/question/8957185

A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres

Answers

Answer:

ok so

8.5*150000

1275000 cm into kilometers is

12.75 kilometers

Hope This Helps!!!

reflectiion across y=x​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The reflection across y=-x swaps the coordinates and negates both of them. The first-quadrant figure becomes a third-quadrant figure.

  (x, y) ⇒ (-y, -x)

the solution set for -2x[tex]-2x^{2}+12x=0[/tex]

Answers


Mark Brainliest please
Answer : x = 0 or x = 6


Explanation:
−2x^2 + 12x = 0. By can be written as
2x × ( −x ) + 2x × 6 = 0

or,

2x ( − x + 6 ) = 0

As product of 2x and (−x+6) is zero,

therefore

either 2x = 0 i.e. x = 0

or −x +6 = 0. i.e. x = 6

PLEASE HELP
A salesperson works 40 hours per week at a job where has two options for being paid. Option A is an hourly wage of ​$25. Option B is a commission rate of ​5% on weekly sales. How much does need to sell this week to earn the same amount with the two​ options?

he needs to sell$___this week

Answers

Answer:

He must sell 20,000 to make the same amount

Step-by-step explanation:

Option A

25 h   where hourly rate time number of hours ( 40 hours)

25 * 40 = 1000

Option B =

.05 * s  where s is the amount of sales and 5% commission

We want them to be equal

1000 = .05s

Divide each side by .05

1000/.05 = .05s/.05

20000 = s

He must sell 20,000 to make the same amount

Cho mặt bậc hai
z=\sqrt(x^(2)+y^(2))

. Đây là mặt gì?

Answers

Answer:

ñkxkdbdidvdv

Step-by-step explanation:

hsu3jdjfiebdic ic8 e

Choose the equation of the line that is parallel to the x-axis.
x = 4
x + y = 0
x = y
y = 4

Answers

Y= 4, because the line is graphed horizontally
y = 4
When y = 0 the line falls on the x axis, so when y = 4, it will move up 4 spaces and be parallel to the x axis.
Hope this helps!!

A = [5 2 -4 2 5 -4 4 4 -5]Is A diagonalizable? Why or why not? a. A is diagonalizable because if you just chop off the upper and lower triangles of the matrix, you're left with just the diagonal, so it just got diagonalized. Bayum! b. A is not diagonalizable because it is not a diagonal matrix c. A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ.d. A is diagonalizable because it is a square matrix.e. A is not diagonalizable because αA(λ) ≠ γA(λ) for all eigenvalues of λ.f. A is not diagonalizable because it does not have 3 distinct eigenvalues

Answers

Answer:

A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ. ( C )

Step-by-step explanation:

The matrix

[tex]A = \left[\begin{array}{ccc}5&2&-4\\2&5&-4\\4&4&-5\end{array}\right][/tex]

This is a 3 x 3 matrix  

Attached below is the prove that A is diagonalizable  

find the slope from the graph. Leave the answer as a reduced fraction. *
I attached a picture below: I will give brainliest

Answers

Answer:

Slope = -2

Step-by-step explanation:

Point 1 (-1, 2)

Point 2 (1, -2)

Formula to find slope = y2 - y1 / x2 - x1

Slope = 2-(-2) / -1-1

Slope = 4 / -2

Slope = -2

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los tornillos vienen en bolsa de 100. cada 10 bolsas se empaqueta una caja. las cajas se embalan de a 10 en cajones y los cajones se guardan de a 10 en un contenedor para ser transportados. cuantos tornillos lleva un contenedor? Exercise 1. Simple present and simple past of to be (Complete with the correct form) A) AM B) IS C) ARE D) WAS E Who was considered the head of the house in Ancient China? ? A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has changed the policy and decided to pay semi-annual compound interest at the same rate. What is the percentage difference between compound interests of the first year and second year? Give reason with calculation, Consider the linear function that is represented by the equation Y =-10x+6 and the linear function that is representedby the equation Y-36 = 8(x-4). Which statement is correct regarding their slopes and y-intercepts?O The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept.O The function that is represented by the equation y=-10x+6 has a steeper slope, and the function that isrepresented by the equation Y-36 = 8(x-4) has a greater y-intercept.O The function that is represented by the equation Y-36 = 8(x-4) has a steeper slope, and the function that isrepresented by the equation Y = -10x+6 has a greater y-intercept.O The function that is represented by the equation Y-36 = 8(x-4) has a steeper slope and a greater y-intercept. Please help me with these three questions...I will be really thankful for help XYZ is a right triangle Angle z is a right angle, XZ=10 YZ= 60 What is XY The reactants of two chemical equations are listed.Equation 1: CuSO4 and NaOHEquation 2: Fe and CuSO4Based on the type of reaction, which reaction can be used to extract copper metal from copper sulfate solution?A - Equation 2, because Fe being more reactive, replaces Cu from CuSO4B - Equation 2, because Fe being more reactive, replaces S from CuSO4C - Equation 1, because Na being more reactive, exchanges position with Cu in CuSO4D - Equation 1, because Na being more reactive, exchanges position with S in CuSO4 4(x+9)=2x-6Solve for x Pick one gland and one hormone and describe the effect on the body Someone help me please Consider the following conditional statement. Determine the contrapositiveof the statement and then determine if the contrapositive is true or false.If two angles are not complements, then their measures do not add up to 180.The contrapositive of the statement is true.The contrapositve of the statement is false. Fill in the blank. ___I jave no brain. (yes) (No) If Earth warmed up, and more snow fell because of more water vapor in the atmosphere, and that snow then reduced Earth's temperature, which increased snow cover, then the initial increase in snow fall would be considered ___________ feedback, while the continued increase in snow fall would be____________feedback. a. open; closed b. negative; negative c. positive; positive d. positive; negative e. negative; positive _________________________ are people, places, and materials, either printed or non-printed, that can provide answers to inquiries. What aspect of the room seems to most bother the narrator of "The YellowWallpaper"?A. The view from the windowsB. The rips in the wallpaperC. The pattern of the wallpaperD. The bars on the windows Pls help me no files just type it in thank you Read the following sentence.In comparison to the heavy suitcase that Michael had been dragging through the airport earlier in the day, this smaller bag felt quite light.What is the correct part of speech for the word light as it is used in this sentence?adjectivenounverbadverb The steps of the accounting cycle are presented below. Identify the correct order of the steps. a. Journalize and post the closing entries. b. Start with beginning account balances. c. Prepare the financial statements. d. Compute the unadjusted balance in each account, and prepare the unadjusted trial balance. e. Journalize and post adjusting entries. f. Enter the unadjusted trial balance on the worksheet, and complete the worksheet (optional). g. Prepare the adjusted trial balance. h. Analyze and journalize transactions as they occur.i. Post journal entries to the accounts. j. Prepare the post-closing trial balance. Why might Christianity have been appealing to members of the former Roman Empire?