You add 11/4 tablespoons of olive oil for every 3/2 tablespoons of balsamic vinegar to make 34 tablespoons of bread dip. How much olive oil and balsamic vinegar do you use?

You use ___ tablespoons of olive oil and

___ tablespoons of balsamic vinegar.

Answers

Answer 1

Answer:

The amount of olive oil and balsamic vinegar to use are;

You use 22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar

Step-by-step explanation:

From the question, we have;

The number of tablespoons of olive oil added for every 3/2 tablespoon of balsamic vinegar = 11/4 tablespoons

Therefore, in the mixture, the ratio of olive oil to balsamic vinegar = 11/4:3/2

Let 'x', and 'y' represent the the number of tablespoons of olive oil and balsamic vinegar, in the mixture 34 tablespoons of bread dip, we can write;

x + y = 34 tablespoons

x/y = (11/4)/(3/2) = 11/6

∴ x = 11/6 × y

∴ x + y = 11/6 × y + y = 34

11/6 × y + y = 17·y/6 = 34

17·y = 34 × 6 = 204

y = 204/17 = 12

The number of tablespoons of balsamic vinegar in the bead dip, y = 12 tablespoons of balsamic vinegar

x = 11/6 × y = 11/6 × 12 = 22

The number of tablespoons of olive oil in the bead dip, x = 22 tablespoons of olive oil.


Related Questions

Is (3,10) a solution to this system of equations?
y=2x+3
y=x+7

Answers

Answer: no

Step-by-step explanation:

plug in (3,10) to y=2x+3

10=2(3)+3

10=6+3

10[tex]\neq[/tex]9

Plz help ASAP !!!!!!!! Plzz

Answers

Answer:

option a is the answer to the question

help plsss. marking brainliest

Answers

Answer:

1. 3

2. 1

Step-by-step explanation:

Answer:

1.3. now mark brainlieet plsssssssssss like you said you would

Please answer correctly! I will mark you as Brainliest!

Answers

Multiply the length by width by the height/3

7 x 6 x 8/3 = 112 in^2

The answer is 112 in^2

Answer:

112

Step-by-step explanation:

Please ASAP let me know the answer!

Answers

The answer is A because 7.99t represents per t-shirt

8
p varies directly as the square root of q.
p = 8 when q = 25.
Find p when q = 100.

Answers

Answer:

16

Step-by-step explanation:

p=k√q

8=k√25

8=k5

k=8/5

p when q=100

p=8/5*√100

p=8/5*10

p=16

The price of an mp3 player is reduced by 60%. The expression c – 0.6c represents the sale price. Which represents an equivalent expression to determine the sale price?

Answers

Answer:

0.4c

Step-by-step explanation:

Given that :

Price of mp3 is reduced by 60%

Let initial price of mp3 = c

Discount on price = 60% = 0.6

Discounted price = initial price - discount on price

Discounted price = c - 0.6c

Discounted price = 0.4c

will give 20 brainly PLEASE NEED HELP NOW
plz put the answer as simple as a b c or d

Answers

Answer:

1. A

2. C

Step-by-step explanation:

Can someone plz help me

Answers

Answer:

54 sq ft

Step-by-step explanation:

6ft x 3 ft = 18 sq ft

9 ft x 4 ft = 36 sq ft

18 sq ft + 36 sq ft = 54 sq ft

The choices should be in sq ft, not in sq cm

The value of area in sq cm would be far greater than the value of area in sq ft.

The Bungling Brothers Circus is in town and you are part of the crew that

is setting up its enormous tent. The center pole that holds up the tent

is 70 feet tall. To keep it upright, a support cable needs to be attached to

the top of the pole so that the cable forms a 60° angle with the ground.


a) How long is the cable?


b) How far from the pole should the cable be attached to the ground?

Answers

Answer:

a. 80.83 ft b. 40.42 ft

Step-by-step explanation:

Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.

a) How long is the cable?

Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,

sinФ = h/L

L = h/sinФ

L = 70 ft/sin60°

L = 70 ft/0.8660

L = 80.83 ft

b) How far from the pole should the cable be attached to the ground?

Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,

tanФ = h/x

x = h/tanФ

x = 70 ft/tan60°

x = 70 ft/1.7321

x = 40.42 ft

The length of the cable is 80.83 ft and the distance from the pole should the cable be attached to the ground is 40.42 ft and this can be determined by using the trigonometric function.

Given :

The Bungling Brothers Circus is in town and you are part of the crew that  is setting up its enormous tent. The center pole that holds up the tent  is 70 feet tall. To keep it upright, a support cable needs to be attached to  the top of the pole so that the cable forms a 60° angle with the ground.

a) The trigonometric function can be used in order to determine the length of the cable.

[tex]\rm sin\theta=\dfrac{h }{L}[/tex]

where h is the height of the pole, L is the length of the pole, and [tex]\theta[/tex] is the angle from the ground.

Substitute the known terms in the above expression.

[tex]\rm L=\dfrac{h }{sin\theta}[/tex]

[tex]\rm L = \dfrac{70}{sin60}[/tex]

L = 80.83 ft.

b) The trigonometric function can be used in order to determine the distance from the pole should the cable be attached to the ground.

[tex]\rm tan \alpha =\dfrac{h}{x}[/tex]

where x is the distance between pole and cable.

Substitute the known terms in the above expression.

[tex]\rm x = \dfrac{70}{tan 60 }[/tex]

x = 40.42 ft.

For more information, refer to the link given below:

https://brainly.com/question/21286835

help please! :)) ill do whatever it is that gets you guys points!!! please help!

Answers

Answer:

7.5 in.

Step-by-step explanation:

Answer:

7.5 in

Step-by-step explanation:

using pythagorean theorem

Hyp²= Opp² + Adj ²

where 9= hyp

5= adj

and x = opp

9²=x²+5²

81=x² + 25

collect like terms

81-25=X²

56=X²

since we're looking for X and not X²

we square root both sides

√x²=√56

x=7.483 approximately 7.5

What is the answer to this question?

Answers

Answer:

what should i answer?

Step-by-step explanation:

Function B has a greater rate of change and a smaller y-intercept than function A. Which equation could represent function B?

Answers

Answer:

function A : y = 50 + 0.5x ; y = 40 + 0.6x

Step-by-step explanation:

Function is a relationship between values in set x & set y.

In case functional relationship equation is y = c + sx . c is the y intercept ie constant value of y when x = 0, & s is slope rate of change ie = change in y / change in x.

If function A is y = 50 + 0.5x. Intercept (c) = 50 , change rate (slope) = 0.5

If function B is y = 40 + 0.6x. Intercept (c) = 40 ie lesser, change rate (slope) = 0.6 ie greater

SURFACE AREA!!
can someone please help me get the answer on these two I’m stuck

Answers

Answer:

96 i think :)

Step-by-step explanation:

15x4=60

6x6=36

60+36=96

A rectangular garden has a width of 7x -2 and a length of 3x +10. Find the perimeter.

Answers

(7x-2)+(7x-2)+(3x+10)+(3x+10)
=20x+16

Answer:

20x + 16

Step-by-step explanation:

Width (w) = 7x - 2

Length (l) = 3x + 10

Perimeter = 2*(l + w)

                 = 2* (3x + 10 + 7x - 2)

                 = 2* (3x + 7x + 10 - 2 )   {Combine like terms}

                 = 2* ( 10x + 8)         {Use distributive property: a(b +c) =(a*b) + (a*c)}

                 = 2*10x + 2*8

                  = 20x + 16

Solve by elimination
x-2y=1
3х — 6y = 3

Answers

Answer:

Step-by-step explanation:

3(x-2y=1)

3x-6y=3

3x-6y = 3

3x-6y = 3

3x-6y = 3

-3x+6y=-3

0 = 0

x & y can be any value.

I need help on the circled problem please

Answers

Answer:

There would be infinite solutions because the equations are exactly the same.

I hope this answered your question

vocab word for this definetion

Answers

Answer:

whats the definition?

Step-by-step explanation:

He got a job selling cell phone services. He will be compensated $20 each hour he
works. He also gets a job at a competing cell phone store. His deal is that he will earn
$10 each hour, BUT he will start off with a bonus of $50 at the start of each day.
1) create equations for each man's compensation

2) After how many hours will they earn the same amount?
3) in an 8 hour day, who will earn more? How much more

Answers

Answer:

I think you should go with 3

What is the value of x in the figure below?

Answers

Answer:

B;24

Step-by-step explanation:

X
How many 1 -by-1 -by-1 -inch cubes fit inside of this
rectangular prism?

Answers

The number of 1 -by-1 -by-1 -inch cubes that can fit inside of this rectangular prism 120 cubes.

Volume of a rectangular prism

volume = lwh

where

l = lengthw = widthh = height

Therefore,

volume = 10 × 3 × 4 = 120 inches³

Volume of the cube = l³

where

l = side length

Therefore,

volume = 1 × 1 × 1 = 1 inches³

Therefore, the number of 1 -by-1 -by-1 -inch cubes that can fit inside of this rectangular prism is as follows;

number of cube = 120 / 1 = 120 cubes

learn more on volume here : https://brainly.com/question/1578538

Find the volume of the cylinder height 10 in base radius 3 in

Answers

Answer: 282.60in³

Step-by-step explanation:

When calculating the volume of a cylinder, the formula to use is:

= πr²h

where,

π = 3.14

r = radius = 3 in

h = height = 10 in

Volume = πr²h

= 3.14 × 3² × 10

= 282.60

Therefore, the volume of the cylinder is 282.60in³

200% of what number is 350?

Answers

Answer:

The answer is 175

I really need help please!!!!!

Answers

Step-by-step explanation:

area of a quadrilateral is b x h

if the base is 7 the height is x and the area is 63 then:

7x=63

divide both sides by 7

7/7x=63/7

x=9

Hope that helps :)

Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10

Answers

Answer:

Step-by-step explanation:

This is a quartic  equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.

f (x) = -3x + 1
g(x) = x2 + 2x – 5
Find g (f (x))

Answers

Answer: f

=  x = − 3 x + 1 = x = 1 4 g = x 2 + 2 x − 5f( x ) = f ( x )

Step-by-step explanation:

how do you solve this ?

Answers

Answer:

x = 37 mm

Step-by-step explanation:

using the Pythagorean theorem:

m² = 13² - 5² = 169 - 25 = 144

m = √144 = 12 mm

x² = 12² + 35² = 144 + 1225 = 1369

x = √1369 = 37 mm

Answer:

x=37.3

Step-by-step explanation:

Since we're looking for "x" we need to use "the Pythagorean theorem".

13mm will be our "A" and 35mm will be our "B" will "x" being the hypotenuse.

Since x is the hypotenuse, it needs to be a number greater than 13 and 35.

c=√(a² + b²)

Making it c=√(13² + 35²)

Making C=37.336 or 37.3

Therefore making, x=37.3

HELPPPPPPP PLEASEEEEEEE!!!!!!!!




:((((((

Answers

There’s an app for math equations that big I just forgot the name

Which inequality is true if p = 3.4 ?

Answers

Answer:

the shape isnt angled thats what it means

Step-by-step explanation:

A cylinder has a radius of 4 units and a height of 7 units. What is the volume in cubic units

Answers

The volume is 12 cubic units

Answer:

The answer is 352 cubic units

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